let the function be f defined by f (x) = 12 - 5x
(a) is it true that f (0) = 0 ? explain why or why not.
(b) evaluate f (-1)
(c) what value of a will make the equation f (a) = 6 true?

Answers

Answer 1

Answer

a)no

Step-by-step explanation:

a)12-5(0)

=12 not 0

b)12-5(-1)

=17

c)12-5x=6

-5x=6-12

x=1.2

hope it helps:)

Answer 2

Evaluating the function, it is found that:

a) No, since [tex]f(0) = 12[/tex], as when we replace x by 0, the value of y is 12.

b) [tex]f(-1) = 17[/tex]

c) [tex]a = \frac{6}{5}[/tex]

The function given is:

[tex]f(x) = 12 - 5x[/tex]

Item a:

f(0) is given by:

[tex]f(0) = 12 - 5(0) = 12[/tex]

So it is not true, since [tex]f(0) = 12[/tex].

Item b:

[tex]f(-1) = 12 - 5(-1) = 12 + 5 = 17[/tex]

Item c:

This is the value of x when f(x) = 6, thus:

[tex]12 - 5x = 6[/tex]

[tex]5x = 6[/tex]

[tex]x = \frac{6}{5}[/tex]

Thus:

[tex]a = \frac{6}{5}[/tex]

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A factory makes 300 sheets of construction paper per hour. How many sheets of construction paper will the factory make in 2 hours?

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Step-by-step explanation:

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To find the number in two hours, multiply the numerator and the denominator by 2.

300 x 2 = 600

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Thus, the factor makes 600 sheets in 2 hours.

Draw and solve

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Answer: 58 degrees

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Step-by-step explanation:

Answer:

Step-by-step explanation:

A positive plus a negative equals a negative:

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1. Estimate twenty-nine percent of forty-eight. Please again no decimal form!
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3. WORK Karl made $365 last month doing odd jobs after school. If 75% of the money he made was from doing yardwork, about how much did Karl make doing yardwork?

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Number 1...

[tex]\boxed{29\;percent\;of\;48=(?)}[/tex]

Write an equation for the graph in the form Y=KX

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Answer:

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Answers

Answer:

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Step-by-step explanation:

Write the decimal as a fraction or mixed number in simplest form.
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Answers

Answer:

9 3/4 (simplest form)

✨Step-by-step explanation:✨

1. Convert decimal into fraction:

9.75 = 975/100

2. Simplify:

975/100 = 39/4 = 9 3/4

A. Reduce fraction to lowest terms (25 is the greatest common divisor of 975 and 100. Reduce by dividing both numerator and denominator by 25):

975/100 = 975 ÷ 25   = 39/4

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Answer:

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Answers

Answer:

Step-by-step explanation:

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I = 4494

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What is Simple Interest?

The interest on a loan or principal amount can be easily calculated using simple interest. Simple interest is a notion that is employed across a wide range of industries, including banking, finance, automobiles, and more. When you pay back a loan, the monthly interest is deducted first, and any remaining funds are applied to the principle.

Amount (A) = Principal (P) + Interest (I)

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Given:

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Time= 6 year

Interest = 7%

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SI = P x R x T/100

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SI = $4494

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Answer:(it might be)

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Unknown:

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Answers

Answer:

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A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

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Answer:

True

Step-by-step explanation:

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A: True

B: False

Step-by-step explanation:

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Answers

Answer:

no

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Given equation of line is:

[tex]2x-3y = 9[/tex]

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O 12
O 16
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Answers

Answer:

64

Step-by-step explanation:

Answer: Your answer is 64 4 times 4 equals 16 then 16 times 4 equals 64 <3

Step-by-step explanation:

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Answers

Answer:

y = 7x - 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

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with slope m = 7

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Answers

Answer:

b should be correct

Step-by-step explanation:

no need to cash app me its been a while since ive done math so i dont even know if this is right

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Answers

Answer:

The answer is -3.43

Step-by-step explanation:

The graph shows how much money Priya has in her savings account weeks after she started saving on a regular basis. How much money does Priya have in the account after 10 weeks? How long did it take her to save $200? How much money did Priya have in her savings account when she started to save regularly? Write an equation to represent the dollar amount in her savings account and the number of weeks of saving. Be sure to specify what each variable represents.

Answers

Answer:

How much money does priya have after 10 weeks? 320

How long did it take her to save 200? 5

How much did priya have in her savings account when she started to save regularly? 80

4x + 6y - z=-18
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- 5x + 3y + 2z = 15
find x y and z

Answers

Answer:

x = -2, y = -1, z = 4

Step-by-step explanation:

4x + 6y - z=-18

z  = 18  + 4 x  +  6 y

3x +2y - 4z = -24

z  = 6  + (3x)/ 4  +  y /2

- 5x + 3y + 2z = 15

z = 15/2 + (5x)/2 - (3y)/2

18  + 4 x  +  6 y = 6  + (3x)/ 4  +  y /2  = 15/2 + (5x)/2 - (3y)/2

x = -22y/13 - 48/13

4(-22y/13 - 48/13) + 6y - (15/2 + (5(-22y/13 - 48/13))/2 - (3y)/2) = -18

Compute the output value of the variables x and y with respect to the input values of x, y, and z coefficients.

Hey guys! Can you simplify this? Be sure to show your work so i know you aren't guessing! Also remember when you answer a question and your answer gets reported and deleted you lose the points you received! So don't put incomplete, absurd, plagiarism answers!

3(x-4)>15

Answers

Answer:

x>9

Step-by-step explanation:

x−4>

​3

​15

​​

x−4>5

x>5+4

x>9

2(x+3)=x-4
help!
45 points!

Answers

2(x+3) = x-4
2x +6 = x-4
x + 6 = -4
x= -10 :)
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