See attachment for question (I will report you if you are only doing it for the points)
Answers
Answer:
x => y
-6 => 9
3 => 5
15 => -3
-12 => 15
Step-by-step explanation:
Given the domain function, {-12, -6, 3, 15}, and the equation of the function, [tex] y = -\frac{2}{3}x + 7 [/tex], we can complete the given table by simply plugging in the value of either x to find y, or y to find x in the table given. The domain values are all x-values you have in the table.
Find y when x = -6:
[tex] y = -\frac{2}{3}(-6) + 7 [/tex]
[tex] y = -\frac{2}{1}(-2) + 7 [/tex]
[tex] y = 2 + 7 [/tex]
[tex] y = 9 [/tex]
Find x when y = 5:
[tex] 5 = -\frac{2}{3}x + 7 [/tex]
[tex] 5 - 7 = -\frac{2}{3}x + 7 - 7 [/tex]
[tex] -2 = -\frac{2}{3}x [/tex]
[tex] -2 = \frac{-2x}{3} [/tex]
[tex] -2*3 = \frac{-2x}{3}*3 [/tex]
[tex] -6 = -2x [/tex]
[tex] \frac{-6}{-2} = \frac{-2x}{-2} [/tex]
[tex] 3 = x [/tex]
[tex] x = 3 [/tex]
Find y when x = 15:
[tex] y = -\frac{2}{3}(15) + 7 [/tex]
[tex] y = -\frac{2}{1}(5) + 7 [/tex]
[tex] y = -10 + 7 [/tex]
[tex] y = -3 [/tex]
Find x when y = 15:
[tex] 15 = -\frac{2}{3}x + 7 [/tex]
[tex] 15 - 7 = -\frac{2}{3}x + 7 - 7 [/tex]
[tex] 8 = -\frac{2}{3}x [/tex]
[tex] 8 = \frac{-2x}{3} [/tex]
[tex] 8*3 = \frac{-2x}{3}*3 [/tex]
[tex] 24 = -2x [/tex]
[tex] \frac{24}{-2} = \frac{-2x}{-2} [/tex]
[tex] -12 = x [/tex]
[tex] x = -12 [/tex]
Related Questions
Jared was trying to win a trivia game. His score towards the end was -14. He needs to get a score of 15 to win the game. How many points does he need to earn in order to win?
Answers
Answer:
29 more points
Step-by-step explanation:
We basically need to find, what's the distance from -14 to 15.
We know that from -14 to 0 is 14 points, and from 0 to 15 is 15 points.
So in total we travelled [tex]15+14=29[/tex] points.
Hope this helped!
Which statement is true? Question 3 options: 0 is a natural number -9 is a whole number 4.6 is a rational number 81−−√ is an irrational number
Answers
Answer:
the true statement, 0 is a natural number
Madison recorded weather conditions for some major cities on the same day. Here is some of the data she
collected
The individuals in this data set are:Choose 1 Answer:
A) Weather conditions
B) Average wind speeds
C) Cities
This data set contains:Choose 1 Answer:
A) 4 variables, 1 of which is categorical
B) 4 variables, 2 of which are categorical
C) 3 variables, 1 of which is categorical
D) 3 variables, 2 of which are categorical
Answers
The individuals in this data set are C) Cities
Same idea as last time, but now we're listing cities and their associated weather data.
=============================================
The data set contains B) 4 variables, 2 of which are categorical
The four variables are
high temp (degrees celsius)kind of precipitation average wind speed (in km/hr)severe weather alertThe two categorical variables are "kind of precipitation" and "severe weather alert". This is because the choices for each of these variables is a list of labels rather than numeric values. We cannot do things like find the average of the kind of precipitation as it doesn't make sense to do so. Each of these categorical variables are also nominal. This means they simply have a label or name. We cannot do things like order the data.
Please solve these. Will rate you 5 star!
Answers
Answer: Hi!
To find the answer for question 24, we would first find the square root of 20 and 5. The square root of 20 is about 4.47 (I used a calculator for convenience) and the square root of 5 is about 2.24. Now we need to add these:
4.47 + 2.24 = 6.71
Now we divide 30 by this:
30/6.71 = 4.47
Now, we'll evaluate the answer choices.
a) is equal to 1.49
b) is equal to 13.4
c) is equal to 4.47
d) is equal to 26.88
The answer choice that is correct is c, because it is what we got for the problem that we were supposed to solve in the beginning.
Hope this helps!
A student has money in three accounts that pay 5%, 7%, and 8%, in annual simple (i.e. compounded once per year) interest. She has three times as much invested at 8% as she does at 5%. If the total amount she has invested is $1600 and her interest for the year comes to $115, how much money does she have in each account
Answers
Answer:
Amount invested in account with 5% annual interest = $300
Amount invested in account with 7% annual interest = $400
Amount invested in account with 8% annual interest = $900
Step-by-step explanation:
Let the money invested in account with 5% annual interest = [tex]x[/tex]
As per question statement,
Money invested in account with 8% annual interest = [tex]3x[/tex]
Given that total amount invested in three accounts = $1600
So, Money invested in account with 7% annual interest = 1600- [tex]3x[/tex] -[tex]x[/tex] = 1600- [tex]4x[/tex]
For one year, the compound interest is same as that of Simple Interest.
Formula for simple interest is given as:
[tex]SI =\dfrac{PRT}{100}[/tex]
Where, P is the amount invested
R is the annual rate of interest
T is the time for which the amount is invested.
As per question statement:
[tex]\dfrac{x\times 5\times 1}{100}+\dfrac{(1600-4x)\times 7\times 1}{100}+\dfrac{3x\times 8\times 1}{100} =115\\\Rightarrow 5x\times +1600\times 7-28x+24x=11500\\\Rightarrow 29x-28x = 11500-11200\\\Rightarrow \bold{x =\$300}[/tex]
Amount invested in account with 5% annual interest = $300
Amount invested in account with 7% annual interest = $1600-$1200 = $400
Amount invested in account with 8% annual interest = $900
A new Community Sport complex is being built in safe harbor the perimeter of the rectangular playing field is 402 yards the length of the field is 9 yards less than quadruple the width what are the dimensions of the playing field?
Answers
Answer:
length = 159 yardswidth = 42 yardsStep-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
Perimeter = 402 yards
The statement
the length of the field is 9 yards less than quadruple the width is written as
l = 4w - 9
Substitute this is expression into the above formula and solve for the width
That's
402 = 2( 4w - 9) + 2w
402 = 8w - 18 + 2w
10w = 402 + 18
10w = 420
Divide both sides by 10
w = 42Substitute this value into l = 4w - 9
That's
l = 4(42) - 9
l = 168 - 9
l = 159Therefore
length = 159 yards
width = 42 yards
Hope this helps you
Mia's kitten weighs of 3/5 a pound. The mother cat weighs 14 times as many pounds as the kitten. How much does the mother cat weigh.
Answers
Answer:
8.4
Step-by-step explanation:
You must multiply 0.6 or 3/5 by 14. 6x14=84, but you must divide that by 10 which would give you a total answer of 8.4 pounds
The weight of the mother cat is 8[tex]\frac{2}{5}[/tex] pounds
The weight of the mother cat can be determined by multiplying the weight of the kitten by 14
Weight of the mother cat = weight of kitten x 14
[tex]\frac{3}{5}[/tex] x 14
= [tex]\frac{42}{5}[/tex]
Convert the improper fraction to a mixed fraction
[tex]\frac{42}{5} = 8\frac{2}{5}[/tex] pounds
To learn more about fractions, please check:
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Solve. And Explain. r/9 = -4
Answers
Answer:
Step-by-step explanation:
r/9 = -4
then multiply 9 to -4 which equals -36
at last, r is equal to -36
So you need to have the variables on one side and the constants on another.
Since r is divided by 9 on the left side, you have to get rid of the 9 by multiplying. r/9 times 9 equals r, and -4 times 9 equals -36.
So r = -36
Hope this helped!
5+4g+8=1 find the solution to the equation
Answers
Answer:
g = - 3Step-by-step explanation:
5+4g+8=1
To solve the equation first group like terms.
Send the constants to the right side of the equation
That's
4g = 1 - 5 - 8
Simplify
4g = - 12
Divide both sides by 4
[tex]g = - \frac{12}{4} [/tex]
We have the final answer as
g = - 3Hope this helps you
Plz Help ASAP WILL MARK YOU BRAINLIEST
Answers
Answer: D
Step-by-step explanation:
It is D because it forms a right angle. perpendicular lines must form a right angle so it is D.
Answer:
D.
Step-by-step explanation:
The 2 lines that cross form a 90 degree angle, therefore it is perpendicular.
What is 7/8w=14 and how do you solve it?
Answers
Answer:
w = 16
Step-by-step explanation:
7/8 *w = 14
Multiply each side by 8/7
8/7 *7/8 *w = 14*8/7
w = 14/7*8
w = 2*8
w = 16
Answer:
w = 16
Step-by-step explanation:
7 / 8w = 14
multiply both sides by 8:
8 * (7/8w) = 14 * 8
simplify
7w = 112
w = 112 / 7
w = 16
Can u guys PLEASE answer this question ASAP. THIS IS EXTREMELY URGENT. Twenty circular pieces of pastry, each of diameter 4 cm, are cut from a rectangular layer of pastry 20 cm long and 16 cm wide. What is the area, correct to two decimal places, of pastry remaining after the 20 pieces are removed?
Answers
Answer:
68,67 cm^2
Step-by-step explanation:
Let's calculate first the total area of pastry that we have.
Let A be that area.
The pastry has rectangular form so its area is:
● A = width × length
The width here is 16 and the length is 20
● A = 20 × 16
● A = 320 cm^2
■■■■■■■■■■■■■■■■■■■■■■■■■■
Let's calculate the are of the 20 pastry circles
Let A' be the area of one circle.
● A' = Pi × r^2
r is the radius wich is the diameter over 2.
● d/2 = 4/2 = 2 cm
● A' = Pi × 2^2
● A' = 4Pi cm^2
The area of 20 pastry circles is 20A'
● 20A'= 20 × 4 × Pi
● 20A'= 80Pi
■■■■■■■■■■■■■■■■■■■■■■■■■■
Let A" be the area of the remaining pastry
● A" = A-20A'
● A" = 320 - 80Pi
● A" = 68.67 cm^2
Write the quotient 7+5i÷1-4i in standard form.
Answers
Answer:
7+i
Step-by-step explanation:
(7+5i)/1-4i = 7+i
Answer:
[tex]-\frac{13}{17} + \frac{33}{17} i[/tex]
Step-by-step explanation:
(see attached)
square root of -19 in terms of i
Answers
Answer:
i√19
Step-by-step explanation:
Because √(-19) = √(-1)√19, and because √(-1) = i, we get i√19
Which angle measures are correct? Select three options,
OmZX= 55°
OmZW = 125°
OmZW = 55°
mZZ = 125°
mZZ = 55°
PLEASE ANSWER FAST TIMED TEST
Answers
Answer:
m∠W = 125°
m∠X = 55°
m∠Z = 55°
Step-by-step explanation:
The shape is parallelogram WXYZ. m∠Y = 125.
A parallelogram is a quadrilateral shape in which both opposite sides and opposite angles are equal to each other. The diagonals of a parallelogram bisect each other. Also consecutive angles in a parallelogram are supplementary.
Therefore in parallelogram WXYZ:
m∠Z + m∠Y = 180° (Consecutive angles in a parallelogram are supplementary)
m∠Z + 125 = 180
m∠Z = 180 - 125
m∠Z = 55°
m∠W = m∠Y (Opposite angles are equal)
m∠W = 125°
m∠W + m∠X = 180° (Consecutive angles in a parallelogram are supplementary)
m∠X + 125 = 180
m∠X = 180 - 125
m∠X = 55°
hi:) I need help with 11(a) , thanks!:))
Answers
Answer:
18.95
Step-by-step explanation:
ln 2 x ln (4x) = 3
ln 4x = = 3 / ln 2
ln4x = 3 / 0.69315 = 4.3281
4x = e^4.328 = 75.80
x = 18.95.
Please help meeee > THANK YOU!!!!!
Answers
Answer:
39. An adult male Western Banded Gecko is 5 1/2 (or 5.5) inches long.
41. 13,000 feet long, because 1 4/9 of 9,000 is 13,000.
43. to answer the question we need to know if 35 out of 50 states is equal or greater than 3/4 if that is the case, the Constitution will be ammended, and that is represented like this:
35/50 >= 3/4
that inequality is saying that 35 states out of 50 is equal or greater than 3/4, lets simplify and modify the fractions to compare easily:
35/50 >= 3/4
7/10 >= 3/4
now we need to find the least common multiplier of 10 and 4 to take the fractions to a common denominator and compare easy. Lets multiply numerator and denominator for a correct number to get the fractions to denominator common 20, the lcm:
7/10 >= 3/4
(2/2)(7/10) >= (5/5)(3/4)
2*7/2*10 >= 5*3/5*4
14/20 >= 15/20
we can see that the inequality does not hold, so,
35/50 >= 3/4
does not hold either, therefore the Constitution cannot be ammended
40. 10 students play chess and sudoku,
30*2/5 is 12, out of 12; the number of students that play chess,5/6 play sudoku.
So..12*5/6 is 10 and that is the number of students that play both sudoku and chess.
42. Four fifths of 7/8 will be less than 7/8 (because you've multiplied by a number less than 1).
Similarly, 7/8 of 4/5 will be less than 4/5.
This means that the product will be less than each of the original factors.
answer: no
44. The answer is 7/12 because 3/4 - 1/6= 7/12
3/4 converts to 9/12 and 1/6 converts to 2/12. The domanaters stay the same, but 9-2=7. that is how you get 7/12
Which statement is true about the end behavior of the function represented by the graph?
As x approaches 1, f(x) approaches 25.
As x approaches −∞, f(x) approaches −∞, and as x approaches ∞, f(x) approaches −∞.
As x approaches −∞, f(x) approaches −4, and as x approaches ∞, f(x) approaches 7.
As x approaches −∞, f(x) approaches −∞, and as x approaches ∞, f(x) approaches ∞.
Answers
End behavior always involves x approaching positive and negative infinity. So we'll cross off the choice that says "x approaches 1".
The graphs shows both endpoints going down forever. So both endpoints are going to negative infinity regardless if x goes to either infinity.
Answer: Choice BAs x approaches −∞, f(x) approaches −∞, and as x approaches ∞, f(x) approaches −∞.Another way to phrase this would be to say "f(x) approaches negative infinity when x goes to either positive or negative infinity"
End behavior always involves x approaching positive and negative infinity. So we'll cross off the choice that says "x approaches 1".
The graphs shows both endpoints going down forever. So both endpoints are going to negative infinity regardless if x goes to either infinity. (Option B)
What is end behavior in graphs?End behavior refers to the behavior of a graph as the x-values approach positive or negative infinity.
It describes how the graph behaves at the far left and far right ends.
End behavior can be categorized as increasing or decreasing, and it helps understand the long-term trend or direction of the graph.
Learn more about end behavior at:
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Create a real-world problem that represents 2/3 and 2/5.
Answers
Answer: Hi!
Sara had 2/3 of a piece of cake. Jasmine had 2/5 of a piece of cake. How much cake did Sarah and Jasmine have in total?
Hope this helps!
Answer:
If Kaylah had 2/5 of a pizza, and Allia had 2/3 of a pizza how much would they eat together?
I NEED URGENT HELP PLEASE
Answers
Answer:
x'9(3√y) is the correct answer.
-First apply the exponent multiplication rule of algebra
Name any two special cases of quadrilaterals, which can be constructed by knowing less than five
measurements.
Answers
Well when you take x*5 and put that into a glizzy then you swallow it whole the answer will come out to about answer B
Answer:
Below.
Step-by-step explanation:
1. You can construct a square knowing only 1 measurement, the length of each side.
2. Also a rectangle can be constructed only knowing 2 measurements: the length and the width.
a tricycle travels 180km in 4 hours. What it's speed in km/hr
Answers
Answer:
45 km per hour
Step-by-step explanation:
We want to find the tricycle's speed in kilometers per hour.
Therefore, we must divide the kilometers traveled by the number of hours.
speed= kilometers / hours
The tricycle travels 180 kilometers in 4 hours.
speed= 180 km / 4 hrs
Divide 180 km by 4 hrs.
⇒ 180/4=45
speed= 45 km / hour
The tricycle's speed is 45 kilometers per hour.
in the class of 40 students,18 passed mathematics,19 passed account,16 passed economics,5 passed mathematics and accounts only ,2 passed accounts and economics only. if each student offered at least one of the subject
a: how many students failed in all the subjects
b: find the percentage number who failed in at least one of economics and mathematics
C: calculate the probability that a student selected at random failed in accounts..
Answers
Answer:
A) 4 students
B) 32.5%
C) 19/40
Step-by-step explanation:
Using set notation to solve the problem with universal set n(U) = 40
Let n(A) be the number of students that pass account
n(E) be the number of students that pass economics
n(M) be the number of students that pass mathematics
n(AUEUM)' be number of students that failed in all the 3 subjects.
n(AUEUM) be number of students that pass in all the 3 subjects.
n(U) = n(AUEUM)+ n(AUEUM)'
Find the remaining solution in the attachment
What is The equation of the line that passes through the point (4,8) and has a slope of 0
Answers
Answer:
y = 8
Step-by-step explanation:
Plug in the point and slope into the equation y = mx + b to solve for b:
8 = 0(4) + b
8 = b
Then, plug this back into the equation:
y = 0x + 8
y = 8 will be the equation
Answer: y=8
Step-by-step explanation:
concept to know: when it is a horizontal line, the slope is zero, when it is a vertical line, the slope is undefined.
---------------------
If it is required to have a slope of 0, then it is a horizontal line.
y=b (this is the equation for some line that slope is 0)
We then should find the b, or the y-intercept
The question did not provide us with a point of y-intercept, BUT since it is a horizontal line, the y value of any point is the same, including y-intercept (when x value is 0)
Therefore, the y-intercept will be (0, 8), and the equation will be
y=8
What is the distance between 4.5 and - 3.75
Answers
what is the answer for b
[tex]2(b - 3)[/tex]
Answers
Answer:
B
Step-by-step explanation:
Answer:
2b-6
Step-by-step explanation:
[tex]2(b-3)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\a=2,\:b=b,\:c=3\\=2b-2\times \:3\\=2b-6[/tex]
What is a sufficient sample?
Answers
Answer:
A good maximum sample size is usually 10% as long as it does not exceed 1000. A good maximum sample size is usually around 10% of the population, as long as this does not exceed 1000. For example, in a population of 5000, 10% would be 500. In a population of 200,000, 10% would be 20,000.
Step-by-step explanation:
PLZZ ANSWER ASAP PLZZZ HELP MEEE
Answers
___________________________________
Answer: There is no answer because this is a multi step question.
___________________________________
Step-by-step explanation:
A singular unit in this problem can be found by doing 25.00/2.
This is 12.50. You then use this to answer all the questions.
1.A) She earns 12.50 per hour.
1.B) (Idk if this is right but I'm answering the question) Kate will never have more then Jocelynn if they work the same amount of hours because Jocelynn is simply paid more.
The angle of elevation to the sun is 24°. What is the length of the shadow cast by a person 1.82 m tall? A. 0.81 m B. 1.99 m C. 4.09 m D. 4.47 m
Answers
Answer:
C. 4.09 m
Step-by-step explanation:
Let the length of the shadow cast by a person be x m.
[tex] \tan \: 24 \degree = \frac{height \: of \: person}{length \: of \: the \: shadow} \\ \\ 0.4452286853 = \frac{1.82}{x} \\ \\ x = \frac{1.82}{0.4452286853} \\ \\ x = 4.08778693 \: m \\ x = 4.09 \: m[/tex]
The length of the shadow cast by a person 1.82m tall is 4.99m.
What is the angle of elevation?The angle of elevation is an angle a person's sight is making with the object if he stands in the front of an object.
How to determine the length of the shadow casted?We have been given that the angle of elevation to the sun is 24 degree and the person is 1.82m tall. Then the length of the shadow will be:
tan(24)=1.82/length of the shadow
0.445286853=1.82/length of the shadow
length of the shadow=4.087
=4.09 (approx)
Hence the length of the shadow cast by a person 1.82m tall is 4.09m if the angle of elevation to the sun is 24 degrees.
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Hello. I really need some help here. EASY math. Can you guys explain how to convert negative fractions and mixed numbers to decimals? That would be VERY helpful. Thank you! : )
Answers
Answer:
use a calculator
Answer:
Step-by-step explanation:
For example, if you had 2 3/4, you would change the mixed number into an improper fraction. That would equal 11/4 (4 times 2 is 8 and 8 + 3 is 11). Then, you would divide 11 by 4, which equals 2.75 (2 and 75 hundredths).
For negative fractions, you would take the numerator divided by the denominator (3/4= 3 divided by 4= 0.75). You would then put the negative sign in front of the decimal.