The cubic function g(x) = -2(x + 4)³ - 5 can be obtained from f(x) = x³ by a translation of 4 units to the right, a vertical scaling by a factor of -2, and a reflection about the x-axis.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
The cubic parent function f(x) = x³ has been transformed to the function g(x) = −2(x + 4)³ − 5 through a combination of translations, scaling, and reflection.
Translation: The parent function has been shifted 4 units to the right, resulting in x + 4 instead of x in the argument of the function.
Scaling: The parent function has been scaled vertically by a factor of -2, resulting in a coefficient of -2 in front of the argument.
Reflection: The parent function has been reflected on the x-axis, resulting in the negative sign in front of the argument.
Thus, g(x) = -2(x + 4)³ - 5 can be obtained from f(x) = x³ by a translation of 4 units to the right, a vertical scaling by a factor of -2, and a reflection about the x-axis.
Learn more about function here:
brainly.com/question/21145944
#SPJ1
Find the value of a by substituting the point (0,4) in for x and y to determine the value of b
The value of {b} is equivalent to 4.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is to find the value of {b}.
The function is not given. Assume that the function is -
y = ρx + b
For the point (0, 4), we can write -
4 = ρ x 0 + b
b = 4
Therefore, the value of {b} is equivalent to 4.
To solve more questions on functions, visit the link below-
https://brainly.com/question/17613163
#SPJ1
Draw an accurate sketch of the function f(x) = x^4-3x^3 + 2x. Where are the zeros? Where are the critical values? Where are the maxima and/or minima? What are the intervals on which the function is increasing and decreasing, respectively? What is the behavior as x approaches ±∞? Justify your answers with calculus rather than merely copying a graph from your calculator.
Due to length restrictions, we kindly invite to read the explanation below to know how the graph of the quartic function is made. Here is a summary:
Zeros: x = - 0.732, x = 0, x = 1, x = 2.732
Critical values: x = - 0.432 (minimum), x = 0.541 (maximum), x = 2.141 (minimum)
Increasing: - 0.432 < x < 0.541 and x > 2.141
Decreasing: x < - 0.432 and 0.541 < x < 2.141
How to construct a precise sketch of a quartic function
Herein we find the definition of a quartic function, that is, a polynomial with grade 4, of which we must sketch its graph. This can be done from the understanding of the following information:
ZerosCritical values.Interval behaviorZeros
Let be equal the polynomial to zero. All roots can be found by means of numerical methods:
x⁴ - 3 · x³ + 2 · x = 0
x = - 0.732 or x = 0 or x = 1 or x = 2.732
Critical values
Determine the first derivative, equal it to zero and find the roots of the expression:
4 · x³ - 9 · x² + 2 = 0
x = - 0.432 or x = 0.541 or x = 2.141
Determine the second derivative and evaluate it at each root found in previous step:
f''(x) = 12 · x² - 18 · x + 2
x = - 0.432
f''(- 0.432) = 12.015 (MINIMUM)
x = 0.541
f''(0.541) = - 4.226 (MAXIMUM)
x = 2.141
f''(2.141) = 18.469 (MINIMUM)
Finally, find the coordinates of the quartic function:
f(- 0.432) = - 0.587
f(0.541) = 0.693
f(2.141) = - 4.148
Interval behavior
Use the first derivative find the roots of the following inequalities:
Increasing
4 · x³ - 9 · x² + 2 > 0
- 0.432 < x < 0.541 and x > 2.141
Decreasing
4 · x³ - 9 · x² + 2 < 0
x < - 0.432 and 0.541 < x < 2.141
Finally, we build the sketch with the help of a graphing tool.
To learn more on polynomic functions: https://brainly.com/question/29780212
#SPJ1
if AD = 9 and DB = 4. Find the length of CD.
The length CD of the triangle is 6 units
How to determine the length CDFrom the question, we have the following parameters that can be used in our computation:
The triangle
Also, we have
AD = 9 and DB = 4
The length CD (x) is then calculated as
x/4 = 9/x
Cross multiply
This gives
x^2 = 36
Take the square roots
x = 6
Hence, the solution is 6
Read more about triangles at
https://brainly.com/question/14285697
#SPJ1
PLEASE HELPP MEEEEEEEEEEEEEEEEEEEEEE
Answer: the new points are A=(2,4) B=(2,3) C=(4,6) D(4,2)
Step-by-step explanation:
If the scale factor is 2, then every coordinate point of the original triangle is multiplied by the scale factor 2.
(X-2)^2 - (x-4)^2 simplify
The following data represents the age of 30 lottery winners.
20 25 28 33 34 36
37 40 40 41 42 43
47 50 50 51 51 52
53 53 54 55 56 57
62 68 68 70 76 82
Complete the frequency distribution for the data.
Age Frequency
20-29
30-39
40-49
50-59
60-69
70-79
80-89
Using the data the frequency table is completed as follows
Age Frequency
20-29 3
30-39 4
40-49 6
50-59 11
60-69 3
70-79 2
80-89 1
What is frequency table?The number of times the data is repeated inside a given dataset is referred to as the frequency of the data sets.
A frequency distribution table is a tool for structuring the provided data in a way that makes sense and facilitates comprehension. Two or three columns make up a frequency distribution table. All of the results are presented in the first column as individual values or as class intervals.
Learn more about frequency distribution at
https://brainly.com/question/27820465
#SPJ1
A baseball pitcher won 80% of the games h pitched. If he pitched 35 ballgames, how many games did he win?
Answer:
The pitcher won 28 games out of 35.
Step-by-step explanation:
A baseball pitcher won 80% of the games he pitched, so the formula to calculate the number of games won is:
G = 80/100 * n
where
G is the number of games won
n is the number of games pitched
We know that the pitcher pitched 35 games, so:
G = 0.8 * 35
G = 28
So, the pitcher won 28 games out of 35.
Answer: 28
Step-by-step explanation: times 35 by 0.80 to get your answer, also not really a collage level question.
PS pls help me by answering one of my questions (:
An electrical wiring job requires the following lengths of 14/2 BX cable: seven pieces each 612ft long, four pieces each 3434in. long, and nine pieces each 1938in. long. What is the total length of cable needed?
Title: ....Home Lork Date: 6/02/2025. 42 students in a class took a test in Science and English. 13 students took both subjects and students did not pass in any of the two subjects. Those who took Science is 7 less than thos who took only English. Work 1.5 (a) Illustrate the information on a Venn diagram. (b) Find the number of students who passed: (ii) English; (i) Science; Solution Let u 1.(u). universal set 4.2. .... .4/1.2 (iii) exactly one subject. Correction
(a) To illustrate the information on a Venn diagram:
Draw two circles, one for Science and one for English.Label the circles with the names of the subjects.Calculate the number of students who took both Science and English (13 students).Label the overlapping region of the two circles with the number of students who took both subjects (13).Calculate the number of students who took only Science (7 less than those who took only English).Label the region outside the overlapping region and inside the Science circle with the number of students who took only Science.Calculate the number of students who took only English.Label the region outside the overlapping region and inside the English circle with the number of students who took only English.Calculate the total number of students in the class (42).Label the area outside both circles as the universal set, and write the total number of students in the class (42).What is a Venn Diagram?A Venn diagram is a graphical representation of the relationship between sets of items
This Venn diagram will visually represent the information given in the question and help to answer the questions about the number of students who passed each subject and the number of students who passed exactly one subject.
Read more about Venn diagram here:
https://brainly.com/question/24713052
#SPJ1
Need help with this math problem please!
Answer:
The top one is: 1/2x + 6
The bottom one is: -2x + 5
Step-by-step explanation:
The top function:
f(x) = mx + b
m is the slope and b in the y-intercept. This is what you need to write the function.
The slope is 1/2. The slope is the rise over the run. If you start at the point (-6,3) and go up one unit and 2 units to the right, you end up back on the line. This is the slope. If you follow that pattern, you will cross the y axis at (0,6). 6 is the y intercept.
The bottom function:
The slope is -2. I you start at the point (1,3) and you go down 2 and one to the right, you will end up back on the line. 2/1 equals 2.
If you follow that pattern going backwards, 2 up and one to the left, you will be at the y-intercept (0,5) 5 is the y-intercept.
Calculate an uncorrected creatinine clearance value given the following:urine creatinine = 76 mg/dLserum creatinine = 1.2 mg/dLtotal volume = 1430 mL in 24 hour collection.
The uncorrected creatinine clearance value is 62.7mL/min
What is volume?
In three-dimensional space, volume is the area occupied by an object within its borders. Another name for it is an object's capacity.
A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface
Given:
U=76 mg/dL
P= 1.2 mg/dL
Let V= volume of urine in mm/min
V=1430mL/1440min
V=0.99mL/min
Use the formula:
UV/P
=(76 x .99)/1.2=62.7mL/min
The uncorrected creatinine clearance value is 62.7mL/min
To learn more about the volume from the given link
https://brainly.com/question/463363
#SPJ4
Solve the following initial value problem:
t* dy/dt+3y=8t
with y(1)=8.
Find the integrating factor, u(t)= ,
and then find y(t)=
Answer:
The integrating factor, u(t), for the initial value problem t* dy/dt+3y=8t with y(1)=8 is u(t) = e^(3t). The solution to this equation is y(t) = 8e^(-3t)+2te^(-3t).
Step-by-step explanation:
The integrating factor, u(t), for the given initial value problem t(dy/dt)+4y=3t with y(1)=8 is u(t) = e^(4∫t dt) = e^(2t^2).
Using this integrating factor, the solution to the initial value problem is y(t) = (3/8)te^(2t^2)+Ce^(-2t^2), where C is a constant of integration. Since y(1)=8, we can solve for C and find that C=-7/4. Therefore, the solution to the initial value problem is y(t) = (3/8)te^(2t^2)-7/4e^(-2t^2).
We are asked the solve the following differential equation, [tex]t\frac{dy}{dt}+3y=8t[/tex]. This is an ordinary, linear, first-order DE. We need it in the form [tex]\frac{dy}{dt}+P(t)y=Q(t)[/tex], where [tex]\mu(t)=e^{\int\ {P(t)} \, dt }[/tex], which is the integrating factor.
[tex]\Longrightarrow t\frac{dy}{dt}+3y=8t[/tex], multiply everything by t.
[tex]\Longrightarrow \frac{dy}{dt}+(\frac{3}{t} )y=8[/tex]
We now have the correct form for solving a linear, first-order DE.
Find [tex]\mu(t)[/tex].
[tex]\Longrightarrow \mu(t)=e^{\int\ {P(t)} \, dt } \Longrightarrow \mu(t)=e^{\int\ {\frac{3}{t} } \, dt }[/tex]
[tex]\Longrightarrow \mu(t)=e^{3\int\ {\frac{1}{t} } \, dt }\Longrightarrow \mu(t)=e^{3ln|t|} \Longrightarrow \mu(t)=e^{ln(t^3)}[/tex]
[tex]\Longrightarrow \mu(t)=t^3[/tex]
Now multiply the entire DE by [tex]\mu(t)[/tex].
[tex]\Longrightarrow t^3[\frac{dy}{dt}+(\frac{3}{t} )y=8][/tex]
[tex]\Longrightarrow (t^3)\frac{dy}{dt}+(t^3)(\frac{3}{t} )y=(t^3)8[/tex]
[tex]\Longrightarrow (t^3)\frac{dy}{dt}+(3t^2)y=(t^3)8[/tex]
Verify that the L.H.S is a product rule of [tex]t^3y[/tex].
Product rule: [tex]\frac{d}{dx}[f(x)g(x)]=f(x)g'(x)+f'(x)g(x)[/tex]
[tex]\frac{d}{dt}[t^3y]=(t^3)(\frac{dy}{dt} )+(3t^2)(y)[/tex]
It is the product rule, so we can move forward by integrating both sides of the DE.
[tex]\Longrightarrow \int\ {[t^3y]'} \, =\int\ {8t^3} \, dt[/tex]
[tex]\Longrightarrow t^3y=2t^4+C[/tex]
Now using the initial condition to find the arbitrary constant, C.
[tex]t^3y=2t^4+C ;y(1)=8[/tex]
[tex]\Longrightarrow (1)^3(8)=2(1)^4+C[/tex]
[tex]\Longrightarrow 8=2+C[/tex]
[tex]\Longrightarrow 6=C \Longrightarrow C=6[/tex]
Now we have, [tex]t^3y=2t^4+6[/tex], solve for y.
[tex]\Longrightarrow t^3y=2t^4+6[/tex]
[tex]\Longrightarrow y=2\frac{t^4}{t^3} +\frac{6}{t^3}[/tex]
[tex]\Longrightarrow y=2t +6t^{-3}[/tex]
Thus the given differential equation with the initial condition is solved, [tex]y=2t +6t^{-3}[/tex].
Help pls I need this quick thx :D
Sandra bought 4 pounds of sweet potatoes for $6.40. What is the cost per pound of the sweet potatoes?
Answer: Sandra bought 4 pounds of sweet potatoes for $6.40. What is the cost per pound of the sweet potatoes?
$1.57
Step-by-step explanation: pls give brainiest
Answer:
The answer to your question is $1.57.
Step-by-step explanation:
To find the cost per pound of sweet potatoes, divide $6.28 by 4.
6.28 ÷ 4= $1.57
I hope this helps and have a wonderful day!
Y’+2/x*y=0 with initial condition y(1)=3
The required solution of the differential equation is given as y² = -4logx + 9.
The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol.
here,
Given the differential equation,
Y’+2/x*y=0
Y' = -2/xy
y (dy/dx) = -2/x
ydy = -2/xdx
y²/2 = -2logx + C
From the initial condition y(1)=3
9/2 = -2log1 + c
c = 9/2
Now,
y²/2 = -2logx + 9/2
y² = -4logx + 9
Thus, the required solution of the differential equation is given as y² = -4logx + 9.
Learn more about implicit differentiation; https://brainly.com/question/11887805
#SPJ1
consider the set of replicate measurements. 23.4 g,23.9 g,22.6 g,24.5 g,23.0 g,23.6 g for this data set, calculate the mean, range, standard deviation, and percent relative standard deviation.
The mean of the measurements is 23.3 g.
The standard deviation of the measurements is 0.65 g.
The range of the measurements is 1.9 g
The percent relative standard deviation of the measurements is 2.77%.
What is the mean, range, standard deviation, percent relative standard deviation?
Mean: The mean is the average of all the measurements. To find the mean, add up all the measurements and divide by the number of measurements:
(23.4 + 23.9 + 22.6 + 24.5 + 23.0 + 23.6) / 6 = 23.3
So, the mean of the measurements is 23.3 g.
Range: The range is the difference between the largest and smallest measurements. To find the range, subtract the smallest measurement from the largest measurement:
24.5 g - 22.6 g = 1.9 g
So, the range of the measurements is 1.9 g.
Standard Deviation: The standard deviation is a measure of the spread of the data around the mean. To find the standard deviation, we first calculate the difference between each measurement and the mean, square each difference, and then average the squared differences. The square root of this average gives us the standard deviation.
(23.4 - 23.3)^2 + (23.9 - 23.3)^2 + (22.6 - 23.3)^2 + (24.5 - 23.3)^2 + (23.0 - 23.3)^2 + (23.6 - 23.3)^2 = 0.09 + 0.16 + 0.49 + 1.16 + 0.09 + 0.16 = 2.55
2.55 / 6 = 0.425
√0.425 = 0.65
So, the standard deviation of the measurements is 0.65 g.
Percent Relative Standard Deviation (RSD): The percent RSD is the standard deviation expressed as a percentage of the mean. To find the percent RSD, divide the standard deviation by the mean and multiply by 100:
0.65 g / 23.3 g * 100 = 2.77%
So, the percent relative standard deviation of the measurements is 2.77%.
To learn more about mean, range, standard deviation, percent relative standard deviation, Visit
https://brainly.com/question/14532771
#SPJ4
What is the discriminant?
Enter the answers in blank
-3n^2-2n-6=0
answer:_______
The quadratic equation has
______nonreal solutions
The discriminant is -2n - 24.
The equation has 2 real solutions.
How did we get the value?The discriminant of a quadratic equation in the form ax^2 + bx + c = 0 is given by the formula b^2 - 4ac.
So, for the equation -3n^2 - 2n - 6 = 0, a = -3, b = -2, and c = -6.
Plugging these values into the formula, we get:
(-2)^2 - 4 * -3 * -6 = 4 + 72 = 76
So the discriminant is 76, which is greater than zero, so the equation has 2 real solutions.
learn more about discriminant of a quadratic equation: https://brainly.com/question/2507588
#SPJ1
BALL
AVENGER
Know When to Hold 'Em
Jack, Brooke and Caroline are chatting after school about a new special edition comic book
that just exploded on the scene. One of the friends owns a signed comic acquired before
the author and artist became famous, while the other two friends are eager to get their
hands on a signed copy. Read the scenarios below and decide if Jack should sell his comic
book to Brooke, make a trade with Caroline or hold on to his signed comic.
Time Required: 10 minutes
LESSON 21: STUDENT ACTIVITY SHEET 1
JACK (SELLER):
Jack collects comic books and last year he went to a local convention to check out some
new artists. He found one he thought was amazing and decided to buy an autographed
comic by him at the show for $5. Fast forward one year and the author is now hugely
popular, with everyone clamoring to buy his comics. Autographed comic books are flying
off local shelves at $25 each and some are even selling for $50 online. Jack's unsure if he
should keep the comic, make a trade or sell it now that it's worth so much money.
Should Jack sell, hold or trade? Why?
BROOKE (BUYER):
Brooke collects rare and original comic books. She loves the new series and needs an
autographed copy of the original comic book to add to her collection. She is willing to pay
whatever it takes to buy it and offers Jack $100 for it.
CAROLINE (TRADER):
Caroline would really like to have a signed copy of the comic book, but there's no way she
can afford to pay $25 or $50 to buy one. She does have three comic books from another
author that she, Jack and Caroline all like a lot. She offers Jack her three comic books for
his autographed comic.
It depends on Jack's personal preference and priorities. If he values having a large collection of comics.
Describe Comics?Comics are visual storytelling medium that combines text and images to convey a narrative or illustrate a story. They can come in many forms, including comic books, graphic novels, manga, and webcomics, and often feature characters, settings, and events that are fictional or based on real-life events. Comics can be serious or humorous and can be aimed at a wide range of audiences, from children to adults. The format of comics allows for a unique combination of text and illustration that can create an immersive experience for the reader.
It depends on Jack's personal preference and priorities. If he values having a large collection of comics, he may choose to make a trade with Caroline for three of her comic books. If he values money, he may choose to sell the comic to Brooke for $100. If he values the sentimental attachment to the comic book or the rarity of a signed copy, he may choose to hold onto the comic. Ultimately, the decision is up to Jack and what he values the most.
To know more about trade visit:
https://brainly.com/question/249759
#SPJ1
If p(x) = x² - 1 and g(x) = 5(x-1), which expression is equivalent to (p - q)(x)?
5(x — 1) - x² - 1
(5x – 1) − (x2 − 1)
(x² — 1) — 5(x — 1)
(x − 1) − 5x− 1
PLEASE HELP!
The expression which is equivalent to (p - q)(x) is (x²-1) - 5(x-1) .
How find the expression which is equivalent to (p - q)(x)?A function is an expression that shows the relationship between the independent variable and the dependent variable. A function is usually denoted by letters such as f, g, etc.
Since p(x) = x² - 1 and g(x) = 5(x-1)
(p - q)(x) can be found by subtracting g(x) = 5(x-1) from p(x) = x² - 1. That is:
(p - q)(x) = (x²-1) - 5(x-1)
Thus, (x²-1) - 5(x-1) is equivalent to (p - q)(x).
Learn more about function on:
brainly.com/question/1415456
#SPJ1
A furniture worker tells an apprentice, "Always use coarse steel wool at the start of a major wood refinishing project. As you progress, use finer steel wool.” Which information in the graphic supports this advice? The grade levels of steel wool range from 0000, which is fine, to 4, which is coarse. Grade 1 should be used to remove paint, and grade 000 to remove paint drips. The grade levels of steel wool used for metalwork are comparable to the levels used for woodworking. Grade 4 steel wool is used to remove paint and other materials, while grade 0000 is used for the final finish on fine woodwork.
Therefore, the project progresses and the unitary method wood becomes smoother, finer steel wool (i.e. grades 3, 2, 1, and 0000) can be used to achieve a smoother finish..
What exactly is a unitary method?To finish a task using unitary procedure, multiply this same sum by two after finding the measurements of one tiny slice. To differentiate a coded unit from a specific group or collection of groups, use the unit variable method, which only needs an expression. For instance, 40 pencils could cost. 4,000, which really is equivalent to $1.01 as well as 4000 pounds.
Here,
The information in the graphic that supports the advice to use coarse steel wool at the start of a major wood refinishing project is:
"Grade 4 steel wool is used to remove paint and other materials, while grade 0000 is used for the final finish on fine woodwork."
This suggests that coarse steel wool (i.e. grade 4) is more effective at removing paint and other materials, which is often necessary at the beginning of a wood refinishing project.
As the project progresses and the wood becomes smoother, finer steel wool (i.e. grades 3, 2, 1, and 0000) can be used to achieve a smoother finish..
To know more about unitary method visit:
https://brainly.com/question/28276953
#SPJ1
What is 7 2/3-(1 2/4+3 6/8)? And how do you get to the answer
in essence, PEMDAS, but let's firstly convert the mixed fractions to improper fractions.
[tex]\stackrel{mixed}{7\frac{2}{3}}\implies \cfrac{7\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{23}{3}} ~\hfill \stackrel{mixed}{1\frac{2}{4}} \implies \cfrac{1\cdot 4+2}{4} \implies \stackrel{improper}{\cfrac{6}{4}} \\\\\\ \stackrel{mixed}{3\frac{6}{8}}\implies \cfrac{3\cdot 8+6}{8}\implies \stackrel{improper}{\cfrac{30}{8}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{23}{3}-\left(\cfrac{6}{4}+\cfrac{30}{8} \right)\implies \cfrac{23}{3}-\left( \cfrac{(2)6~~ + ~~(1)30}{\underset{\textit{using this LCD}}{8}} \right)\implies \cfrac{23}{3}-\left( \cfrac{12+30}{8} \right)[/tex]
[tex]\cfrac{23}{3}-\left( \cfrac{42}{8} \right)\implies \cfrac{23}{3}- \cfrac{42}{8}\implies \cfrac{(8)23~~ - ~~(1)42}{\underset{\textit{using this LCD}}{24}}\implies \cfrac{184-42}{24} \\\\\\ \cfrac{142}{24}\implies \cfrac{2\cdot 71}{2\cdot 12}\implies \cfrac{2}{2}\cdot \cfrac{71}{12}\implies \cfrac{71}{12}\implies 5\frac{11}{12}[/tex]
Find the distance between the points on a number line. -8,9
Answer:
17
Step-by-step explanation:
Find the absolute value of -8, which is 8, and add 9 to that, which gives you 17.
Could this input and output table represent a function?
Yes, the given input and output values represent a function, f(x) = x²
What are functions?
In mathematics, a function is an expression, rule, or law that specifies the relationship between an independent variable x and a dependent variable y.
y and x are related in such a way that there is a distinct value of y for each value of x, and this relationship is frequently represented as y = f(x). In other words, for the same x value, there cannot be more than one value for f(x).
If we look at the table, we can see a relationship between the x (input) and y (output) values.
The output values (y) are the squares of the corresponding input values(x).
Also, there is only one distinct value of y for each x value.
Therefore the given values represent a function, f(x) = x².
To learn more about functions, follow the link.
https://brainly.com/question/17043948
#SPJ1
30% sugar syrup using 75 g sugar
Answer:
22.5 g suger!
Step-by-step explanation:
100% is 75 g
10% is 7,5 g
30% is 22.5 g
10% x 3
( 7,5 g x 3 = )
7 x 3 = 21
0.5 x 3 = 1.5
21 + 1.5 = 22.5 g!
What is -5+2(8-12) ?
Answer: -13
Step-by-step explanation: Here to help! So first, you do 8-12, then you get -4, right? So then, you multiply 2 times -4, then you get -8. After that, you add -5 to -8, so it's -5 + -8, and you get -13.
Answer:
-13
Step-by-step explanation:
-5+2(8-12)
distribute the 2
-5+16-24
add
11-24
subtract
-13
Ray has pennies and nickles. He saved 474 coins. It totals $11.22. how many pennies and nickles does he have?
Answer:
There will be 312 pennies and 162 nickels that will make up to $11.22 and there are 474 coins altogether.
Step-by-step explanation:
Here,
A penny is worth 1 cent.
A nickel is worth 5 cents.
A dime is worth 10 cents.
A quarter is worth 25 cents.
A dollar is worth 100 cents.
Let there be x pennies and y nickels.
x+y=474
0.01x+0.05y=11.22
Now,
0.01x+0.01y=4.74
0.01x+0.05y=11.22
subtracting both,
-0.04y=-6.48
y=6.48/0.04
y=162 nickels
x+162=474
x=312 pennies
There will be 312 pennies and 162 nickels totaling $11.22, for a total of 474 coins.
in the chemistry lab, an experiment requires 500 mL of one ingredient to be mixed with 1,00mL of another. How many liters is the solution?
Step-by-step explanation:
To find the total volume of the solution in liters, we need to add the volumes of the two ingredients:
500 mL + 1000 mL = 1500 mL
To convert mL to liters, divide by 1000:
1500 mL / 1000 = 1.5 L
So, the solution is 1.5 liters.
3/7 of the tarts that Mrs Lee baked were pineapple tarts, 2/5 of the tarts were strawberry tarts and the rest were coconut tarts. There were 252 more pineapple tarts than coconut tarts. How many strawberry tarts did Mrs Lee bake?
Answer:
392
Step-by-step explanation:
...................
Greg plants two-thirds of his garden in potato’s and one-eighth in carrots.what fraction of the garden remains for his other crops?
The fraction to the garden that would probably remain for his other crops would be = 5/24
How to calculate the fraction of the garden left?The portion of the garden in which potatoes are being planted = 2/3
The portion of the garden in which carrots are being planted = 1/8
Therefore,the fraction of the garden that is left without plants = X
But;
The whole garden is represented as 1.
That is;
1 = 2/3+1/8 +X
Make X the subject of formula;
X = 1 - (⅔+⅛)
X = 1-(19/24)
X = 1-19/24
X= 5/24.
Learn more about fraction here:
https://brainly.com/question/28699958
#SPJ1
Carpet City charges $5 per square foot for a type of carpet. They charge an additional $95 for installation. Westside Carpet also charges an installation fee and a constant rate for the same carpet. The table shows the cost including installation for various amounts of the carpet at Westside Carpet. Which store charges more per square foot for the carpet?
Westside Carpet charges more per square foot for the carpet
How create a linear function for the charges?Since the Carpet City charges $5 per square foot for a type of carpet. They charge an additional $95 for installation.
we can write the linear function for Carpet City charges as:
y = 5x + 95
where x is the number of square foot
From the table:
rate for Westside Carpet = 3250/642 = $5.06 per carpet
The the linear function for Westside Carpet is y = 5.06x
Thus, Westside Carpet charges more because 5.06 is greater than 5.
Learn more about linear function on:
brainly.com/question/29330381
#SPJ1