A piece wide function f(x) is defined as shown f(x) = { -5/4x + 90, 0 < x < 40 { -3/8x + 75, 40 < x < 200 which table could be used to graph a piece of the function?
HELP
Answers
Answer:
The last table with x and y values:
x y
40 60
160 15
200 0
is the correct table
Step-by-step explanation:
Notice that the x-value 40 appears in all four tables, so let's use it according to the piece-wise function definition to decide which table can be the true one.
Notice that from the function's description, when x = 40 the function that should be used is (its domain includes 40 according to: [tex]40\leq x\leq 200[/tex] ) : [tex]f(x)=-\frac{3}{8} x+75[/tex],
which therefore gives : [tex]f(40)=-\frac{3}{8} (40)+75= -15+75=60[/tex]
therefore, we know that the only table that shows a y-value of 60 associated with x=40 is the last table. We should check that the other two pairs are also correct before deciding for it:
Is f(160) = 15 , and is f(200) = 0 according to the function's definition?
Let;s calculate f(160) (for which we need to use again the second function given which is valid for x values such that: [tex]40\leq x\leq 200[/tex]
[tex]f(160)=-\frac{3}{8} (160)+75= -60+75=15[/tex]
so, this pair is also correct.
Now the last check (for x = 200):
[tex]f(200)=-\frac{3}{8} (200)+75= -75+75=0[/tex]
which also checks with the values in the given table.
Related Questions
what is 3x + 4 = 12
Answers
Answer:
3x - 4 = 12
3x = 12 + 4
3x = 16 (divide both sides by 3 to get x)
3x/3 = 16/3
x = 5.333.......
10 = 7 - m*
It says solve & check solution. Can someone help asap
Answers
Answer:
see explanation
Step-by-step explanation:
Given
10 = 7 - m ( subtract 3 from both sides )
3 = - m ( multiply both sides by - 1 )
- 3 = m , or
m = - 3
As a check
Substitute m = - 3 into the right side of the equation and if equal to the left side then it is the solution
7 - m = 7 - (- 3) = 7 + 3 = 10 = left side
Thus m = - 3 is the solution to the equation
Solve. 10. On weekdays, Kiki walks 2 miles in the morning and I mile in the evening. On Saturdays, she walks 4 miles. Place parentheses in the expression to represent the number of miles Kiki walks each week. 5x 2 + 1 + 4 USING GROUPING SYMBOLS (C)
Answers
Answer:
The parenthesis should be placed as shown:
5 x (2+1) + 4
Step-by-step explanation:
What Kiki walks every week day is : 2 miles + 1 mile = (2+1)
since this is done 5 times per week (on weekdays) to obtain the total walked on weekdays, you multiply this by 5: 5 x (2+1)
and we need to add to this what Kiki walks on Saturdays (4 miles){
5 x (2+1) + 4
Simplity (a+(-a) ) + b
Answers
Answer:
Hey there!
(a+(-a))+b
a-a+b
b
Let me know if this helps :)
Answer:
b // (a-a)+b
Step-by-step explanation:
(a+(-a)) +b
(a-a)+b
b
A triangle has sides with lengths of 5x - 2, 4x - 4, 6x - 8. What is the perimeter of the triangle?
Answers
Answer:
(15x - 4) units
Step-by-step explanation:
5x-2 + 4x-4 + 6x - 8
15x - 14
Suppose the test scores of students in a class are normally distributed with a mean of 86 and a standard deviation of 4. What is the z-score for a student that scored 76 on a test? A.−4 .−2.5 C.2.5 D.4
Answers
Answer:
-2.5
Step-by-step explanation:
Here in this question, we are interested in calculating the z-score for a student that had a particular mark at the test
To calculate the z-score, we need to use a mathematical formula
Mathematically;
z-score = (x - mean)/SD
From the question;
x = 76
mean = 86
standard deviation SD = 4
Plugging these values in the equation, we have;
z-score = (76-86)/4 = -10/4 = -2.5
Solve log x = 4.
Ox=4
O x = 40
Ox= 1,000
Ox= 10,000
Answers
Hi there! :)
Answer:
[tex]\huge\boxed{x = 10,000}[/tex]
Given:
[tex]logx = 4[/tex]
The given expression is a logarithm with a base of 10, therefore we can rewrite this as:
[tex]10^{4} = x[/tex]
Evaluate:
[tex]x = 10,000[/tex]
Se cocina una pizza de 20 cm de radio, en su interior se coloca al azar 12 piezas de salami
circular de 1 cm de radio y en al área restante se pondrá queso.
¿Qué área se tiene para el queso? (Expresar el resultado en términos de 7)
Answers
Answer:
The area of cheese is 388π cm.
Step-by-step explanation:
Given that,
Radius of pizza = 20 cm
Number of pieces = 12
Radius of circle = 1 cm
We need to calculate the area of pizza
Using formula of area
[tex]A=\pi\times r^2[/tex]
Put the value into the formula
[tex]A=\pi\times20^2[/tex]
[tex]A=400\pi\ cm^2[/tex]
We need to calculate the area of circle
Using formula of area
[tex]A'=\pi\times r^2[/tex]
Put the value into the formula
[tex]A'=\pi\times1^2[/tex]
[tex]A'=\pi\ cm^2[/tex]
Now, we multiply the result by 12 because they are 12 salamis.
So. the area of salamis will be
[tex]A'=12\pi\ cm^2[/tex]
We need to calculate the area of cheese
The total area of the pizza and subtract the area of the salamis
[tex]A''=A-A'[/tex]
Put the value in to the formula
[tex]A''=400\pi-12\pi[/tex]
[tex]A=388\pi\ cm^2[/tex]
Hence, The area of cheese is 388π cm.
Please solve, 7(2-2x)= -13-5x
Answers
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
We can try and isolate x on one side of the equation to find its value.
First let's apply the distributive property on the left side and get a simpler equation.
[tex]7(2-2x)=-13-5x\\\\14-14x = -13-5x[/tex]
Now, to simplify this down, we can add 5x to both sides.
[tex]14-14x + 5x = -13-5x + 5x\\\\14-9x=-13[/tex]
Now we can add 13 to both sides:
[tex]14-9x+13=-13+13\\\\27-9x=0[/tex]
Now we subtract 27 from both sides:
[tex]27-9x-27=0-27\\\\-9x=-27[/tex]
And finally we divide both sides by -9.
[tex]-9x\div-9=-27\div-9\\\\x=3[/tex]
Hope this helped!
Answer:
[tex]\Huge \boxed{x=3}[/tex]
Step-by-step explanation:
[tex]7(2-2x)= -13-5x[/tex]
Expanding brackets.
[tex]14-14x= -13-5x[/tex]
Adding 5x and -14 to both sides.
[tex]-14x+5x=-13-14[/tex]
[tex]-9x=-27[/tex]
Dividing both sides by -9.
[tex]x=3[/tex]
x+5=5+x is an example of what property?
Answers
Answer: Commutative Property
Step-by-step explanation: In Picture.
Round the number below to the nearest tenth. x = 5.03126
Answers
Answer:
See Below:
Step-by-step explanation:
Tenths place is just 1 decimal place thus it is 5.0
How many dots are there at t minutes? Solve the problems by your preferred method. Your
solution should indicate how many dots will be in the pattern at 3 minutes, 100 minutes,
and t minutes. Be sure to show how your solution relates to the picture and how you
arrived at your solution.
Answers
The image to the question is missing, but I found a matching image, which is attached to this solution
Answer:
3 minutes = 13 dots
100 minutes = 401 dots
t minutes = 4(t) + 1 dots
Step-by-step explanation:
From the image, the following can be noticed:
time (Mins) dots
0 1
1 5
2 9
The pattern gotten from this progression is that, if the time is multiplied by 4, and the result added to one, the result will be the number of dots.
hence, when the time is 0 minutes:
0 × 4 = 0
0 + 1 = 1 ( 1 dot)
when the time is 1 minute
1 × 4 = 4
4 + 1 = 5 (5 dots)
when the time is 2 minutes
2 × 4 = 8
8 + 1 = 9 ( 9 dots)
Therefore,
when the time = 3 minutes
3 × 4 = 12
12 + 1 = 13 dots
at 100 minutes:
100 × 4 = 400
400 + 1 = 401 dots
at t miutes
t × 4 = 4t
4t + 1 = number of dots
Therefore number of dots at t minutes = 4(t) + 1
f(x)= (1,2) (3, -4) (-5, -8)
Answers
Answer: y= 156
Step-by-step explanation:
y= 12(3-4) (-5 -8)
Consider the system of quadratic equations \begin{align*} y &=3x^2 - 5x, \\ y &= 2x^2 - x - c, \end{align*}where $c$ is a real number. (a) For what value(s) of $c$ will the system have exactly one solution $(x,y)?$ (b) For what value(s) of $c$ will the system have more than one real solution? (c) For what value(s) of $c$ will the system have no real solutions? Solutions to the quadratics are $(x,y)$ pairs. Your answers will be in terms of $c,$ but make sure you address both $x$ and $y$ for each part.
Answers
Hello, we need to solve this system, c being a real number.
[tex]\begin{cases}y &= 3x^2-5x\\y &= 2x^2-x-c\end{cases}[/tex]
y=y, right? So, it comes.
[tex]3x^2-5x=2x^2-x-c\\\\3x^2-2x^2-5x+x+c=0\\\\\boxed{x^2-4x+c=0}[/tex]
We can compute the discriminant.
[tex]\Delta=b^2-4ac=4^2-4c=4(4-c)[/tex]
If the discriminant is 0, there is 1 solution.
It means for [tex]4(4-c)=0 <=> 4-c=0 <=> \boxed{c=4}[/tex]
And the solution is
[tex]x_2=x_1=\dfrac{4}{2}=2[/tex]
If the discriminant is > 0, there are 2 real solutions.
It means 4(4-c) > 0 <=> 4-c > 0 <=> [tex]\boxed{c<4}[/tex]
And the solution are
[tex]x_1=\dfrac{4-\sqrt{4(4-c)}}{2}=\dfrac{4-2\sqrt{4-c}}{2}=2-\sqrt{4-c}\\\\x_2=2+\sqrt{4-c}[/tex]
If the discriminant is < 0, there are no real solutions.
It means 4(4-c) < 0 <=> 4-c < 0 <=> [tex]\boxed{c>4}[/tex]
There are no real solutions and the complex solutions are
[tex]x_1=\dfrac{4-\sqrt{4(4-c)}}{2}=\dfrac{4-2\sqrt{i^2(c-4)}}{2}=2-\sqrt{c-4}\cdot i\\\\x_2=2+\sqrt{c-4}\cdot i[/tex]
Thank you.
The theoretical probability of a customer
walking into Andy's deli and purchasing a
sandwich is 6 in 10. Which of the
following predictions about Andy's deli is
most likely true?
Answers
walking into Andy's deli and purchasing a
sandwich is 6 in 10. Which of the
following predictions about Andy's deli is
most likely true?
Caren held 260 of the shares for herself and sold the rest in equal amounts to six investors. How many shares does each investor own? If the business fails and leaves $65,000 in debt, for how much would each investor be liable
Answers
Answer:
40 shares each and $3,000 each
Step-by-step explanation:
The computation is shown below:
For the number of shares
Since there are total of 500 shares out of which 260 shares are held by Caren so the remaining shares left is
= 500 shares - 260 shares
= 240 shares
And, there are 6 investors
So the number of shares owned by each investor is
[tex]= \frac{240}{6}[/tex]
= 40 shares
Now the value of the shares held by each inventory is
[tex]= 40 shares \times \$75[/tex]
= $3,000
Total debt is $65,000
So, the liability per share is
[tex]= \frac{\$65,000}{500}[/tex]
= $130
And each investor holds 40 shares
So, each investor is liable for
[tex]= \$130 \times 40\ shares[/tex]
= $5,200
As we can see that the value of the shares is less than the amount liable by each investor
So each investor is liable for $3,000
And, the liability of Caren is
[tex]= 260\ shares \times \$75[/tex]
= $19,500
Simplify: 7 - 3(2x - 5) - 4x
Answers
Answer:
[tex]\Huge \boxed{2(-5x+11)}[/tex]
Step-by-step explanation:
[tex]7 - 3(2x - 5) - 4x[/tex]
Expanding brackets.
[tex]7-6x+15-4x[/tex]
Grouping like terms.
[tex](-6x-4x)+(7+15)[/tex]
Combining like terms.
[tex]-10x + 22[/tex]
Factoring the expression.
[tex]2(-5x+11)[/tex]
Point M is the midpoint between points A and B. If A(-7, 2) and B(-1,-4)
find the location of M.
Answers
Answer:
M(-4, -1)
Step-by-step explanation:
M = (A +B)/2
M = ((-7, 2) +(-1, -4))/2 = (-8, -2)/2 = (-4, -1)
The location of M is (-4, -1).
There are a total of 84 people, lions, and giraffes at the zoo. Cassie visits the
zoo and counts 282 total legs. If you were to double the number of people,
that is equivalent to tripling the number of lions. How many of each are at the
zoo?
Answers
Answer:
14 giraffes, 28 people and 42 lions
Step-by-step explanation:
you add how many legs for all 3 x1
add this you have a total 14
double that is 28 triple that is 42
total 84
describe a situation that could be modeled with the ration 4:1
Answers
Answer:
There could be many situations that use this ratio, but one example could be For every 4 pencils purchased 1 large eraser will be purchased.
But, as said before anything can be used as an example.
If y varies inversely as x, and y = 6 when x = 24, find x when y = 18
Answers
Answer:
x = 8
Step-by-step explanation:
Standard form for inverse variation:
y = k/x
We now use the given information to find k.
y = 6 when x = 24
6 = k/24
k = 6 * 24
k = 144
The equation for this inverse relation is
y = 144/x
For y = 18, we get
18 = 144/x
18x = 144
x = 144/18
x = 8
Answer:
x = 8Step-by-step explanation:
To find the value of x when y = 18 we must first find the relationship between them.
The statement
y varies inversely as x is written as
[tex]y \: \: \alpha \: \: \frac{k}{x} [/tex]where k is the constant of proportionality
From the question when
y = 6
x = 24
Substitute the values into the above equation
That's
[tex]6 = \frac{k}{24} [/tex]Cross multiply
That's
k = 24(6)
k = 144
So the formula for the variation is
[tex]y = \frac{144}{x} [/tex]When
y = 18
[tex]18 = \frac{144}{x} [/tex]Cross multiply
18x = 144
Divide both sides by 18
x = 8Hope this helps you
2 which of the following is a perfect cube
a) 400 -
D. 3375–
C 8000 -
Answers
Answer:
8000 is a perfect cube but 3375 can be also but i m a little sure that 8000 is a perfect cube
Approximate the square root of 228 to the nearest hundredth.
Answers
Answer:
15.1
Step-by-step explanation:
15.1 times 15.1 = 228.01
Answer:
Nearest hundredth of 228 is 200 so the square root of 200 is 10under root 2.
Step-by-step explanation:
Hope it will help you :)
A set of 9 numbers has a mean of 20. What additional number must be included in this set to create a new set with a mean that is 4 less than the mean of the original set?
Answers
Greetings from Brasil...
The average for a set of 9 elements will be
(A + B + C + D + E + F + G + H + I) ÷ 9 = 20
Let's make (A + B + C + D + E + F + G + H + I) like S
(I chose S to remember a sum)
Let us think.....
S ÷ 9 = 20
S = 20 × 9
S = 180
So, (A + B + C + D + E + F + G + H + I) = 180
According to the statement, we will include a number (element J) in the sum to obtain a mean of (20 - 4), that is:
(A + B + C + D + E + F + G + H + I + J) ÷ 10 = (20 - 4)as seen above, (A + B + C + D + E + F + G + H + I) = 180, then
(180 + J) ÷ 10 = 16
(180 + J) = 160
J = 160 - 180
J = - 20So, including the number - 20 (minus 20) in the original mean we will obtain a new mean whose result will be 16
When drawing the arcs in order to bisect a line segment, why must the width of the compass be more than half of the length of
the segment? (1 point)
of the compass is not opened that wide, the arcs will not intersect, making the subsequent steps impossible
This is simply a loose guideline and the actual width of the compass does not matter
If the compass is opened wider than that, for example just less than the full length of the line segment, the arcs will not intersect
making the subsequent steps ingyssible
Bisecting means to divide something evenly in half, so the compass should be a little bit wider than half the length of the line segment
but not wider than three-fourths of the length of line segment
Answers
Answer: Choice A
If the compass isn't open wide enough, then the arcs won't intersect forming the points we need to create the perpendicular bisector.
Check out this link to see my response to the identical question answered 2 days ago
https://brainly.com/question/17191122
feel free to ask any questions you have if you're still stuck
Answer:
a
Step-by-step explanation:
In a dessert, the ratio of the number of ounces of dark chocolate used to the number of ounces of white chocolate used is 8 : 5 How many ounces of dark chocolate are used for every 1 ounce of white chocolate used to make the dessert ?
Answers
Answer:
1.6 ounces
Step-by-step explanation:
Divide the ratio by 5 to get the number of ounces of dark chocolate used for 1 ounce of white chocolate, since 5/5 = 1
8/5 = 1.6
5/5 = 1
The new ratio is 1.6 : 1
This means that 1.6 ounces of dark chocolate are used for every 1 ounce of white chocolate
19x+rx= -37x+w what is the x
Answers
Answer:
x = w / (56 + r)
Step-by-step explanation:
Given the equation :
19x + rx= -37x + w ; find x
Collecting like terms
19x + rx + 37x = w
Factorizing x in the Left hand side
x(19 + 37 + r) = w
x(56 + r) = w
Therefore we can obtain x by dividing both sides by (56 + r)
x(56 + r) / (56 + r) = w / (56 + r)
x = w / (56 + r)
Perpendicular to y = 6x + 2; passing through the point (3,5).
Answers
Answer:
Step-by-step explanation:
y = 6x + 2
Slope = 6
A line perpendicular to this would have a negative reciprocal slope = [tex]-\frac{1}{6}[/tex]
To solve for the y-intercept, plug the coordinates given into the question.
y = mx + b
5 =[tex]-\frac{1}{6}[/tex] (3) + b
5 = [tex]-\frac{3}{6}[/tex] + b
5 = [tex]-\frac{1}{2}[/tex] + b
b = 5 + [tex]\frac{1}{2}[/tex]
b = [tex]\frac{11}{2}[/tex] or 5 [tex]\frac{1}{2}[/tex]
So, your new slope-intercept line equation is
y = [tex]-\frac{1}{6}[/tex]x + 5 [tex]\frac{1}{2}[/tex]
I would really appreciate it if you would please mark me brainliest!
Have a blessed day!
PLEASE HELP ME ASAP!!! ILL MARK BRIANLIEST AND GIVE EXTRA POINTS1. When writing a linear equation for a word problem, what are some things to keep in mind or some keywords to watch out for? What do those keywords mean/ why should you watch out for those things?
Answers
Answer:
Some keywords include "starting amount," you should look out for this because it will be the y-intercept for the equation. Another keyword may be "daily" or "monthly" or "yearly," which would be the coefficient of x, or the amount that y increases with an increase of 1 in x.
pls mark brainliest :)
Find The area of each square. Input each area then click them
Answers
Answer:
see below
Step-by-step explanation:
Area 1 = 3 x 3 = 9 m²
Area 2 = 4 x 4 = 16 m²
Area 3 = 5 x 5 = 25 m²
The areas are 16 unit², 9 unit² and 25 unit² respectively.
What is Surface Area?The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. Square units are used to measure it as well.
As per the given diagram:
We are given 3 squares, and we have to find out the area of each square.
The area of a square is given by a², where a is the length of the side of the square.
For area of the square with length of the side, 4 units.
A = (4)² unit² = 16 unit²
For area of the square with length of the side, 3 units.
A = (3)² unit² = 9 unit²
For area of the square with length of the side, 5 units.
A = (5)² unit² = 25 unit²
The areas are 16 unit², 9 unit² and 25 unit² respectively.
Hence, The areas are 16 unit², 9 unit² and 25 unit² respectively.
To learn more about surface area, click:
brainly.com/question/29298005
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