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]

A similar problem is given at https://brainly.com/question/24231879


Related Questions

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.

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Answer:

How much money does priya have after 10 weeks? 320

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The difference between two numbers is 3.50. The lesser number is 1.65.
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Answers

Answer:

5.15

Step-by-step explanation:

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TRUE OR FALSE: Determine whether the figure is a parallelogram for the given values of the variables

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Answer:

True

Step-by-step explanation:

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Answer:

A: True

B: False

Step-by-step explanation:

8a: x=5 and y=11

A= 84°

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Answers

Answer:

its 2

Step-by-step explanation:

4x + 6y - z=-18
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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.

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

Answers

Answer:

Step-by-step explanation:

y=8x

Is -4pi a rational number

Answers

Answer:

no

Step-by-step explanation:

Pi is irrational

Answer:

No it is a irrational number

Step-by-step explanation:

-4pi is not a whole number, integer number, or a rational number. It is only a irrational number.

What is the equation of a line parallel to y=7x-8 that passes through (5, 22)?

Answers

Answer:

y = 7x - 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 7x - 8 ← is in slope- intercept form

with slope m = 7

Parallel lines have equal slopes, thus

y = 7x + c ← is the partial equation

To find c substitute (5, 22) into the partial equation

22 = 35 + c ⇒ c = 22 - 35 = - 13

y = 7x - 13 ← equation of parallel line

What is an equation of the line that passes through the point
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Answers

Answer:

The equation of line parallel to given line passing through (6,7) is: [tex]y = \frac{2}{3}x+3[/tex]

Step-by-step explanation:

Given equation of line is:

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We have to convert the equation in slope-intercept form. The slope-intercept form is given by:

[tex]y= mx+b[/tex]

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m = m1 = 2/3

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[tex]y = m_1x +b\\y = \frac{2}{3}x+b[/tex]

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[tex]7 = \frac{2}{3}(6) +b\\7 = 2(2) +b\\7 = 4+b\\b = 7-4\\b = 3[/tex]

Putting the value of b

[tex]y = \frac{2}{3}x+3[/tex]

Hence,

The equation of line parallel to given line passing through (6,7) is: [tex]y = \frac{2}{3}x+3[/tex]

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Answers

Is it multiple choice?

Answer:(it might be)

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Step-by-step explanation:

Draw and solve

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Answers

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Step-by-step explanation:

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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

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975/100 = 975 ÷ 25   = 39/4

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Answers

The slope is 1/2. Hope this helps!!

Answer:

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Step-by-step explanation:

2(x+3)=x-4
help!
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Answers

2(x+3) = x-4
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(0,5)
(5,0)
(0,2)

Answers

Answer:

The equation for a zero slope line is one where the X value may vary but the Y value will always be constant. An equation for a zero slope line will be y = b, where the line's slope is 0 (m = 0).

The y-intercept of the equation will be at (0, 81). Then the correct option is A.

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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.

The linear equation is given as,

y = mx + c

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The linear equation is given below.

y - 3 = 13(x + 6)

Convert the linear equation into slope-intercept form. Then the equation is written as,

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y = 13x + 81

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Answers

Answer:

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Step-by-step explanation:

Answer:

Step-by-step explanation:

A positive plus a negative equals a negative:

4 + (-3) = 1

A positive plus a positive equals a positive:

4 + 4 = 8

A negative plus a negative equals a negative:

(-2 )+ (-2) = -4

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-3 + 3 = 0

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Answers

Answer:

Step-by-step explanation:

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So, I = 749(6)

I = 4494

Now, divide 4494 by 6(12)

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This = 63.3 dollars.

Therefore, she is paying 63 dollars per month.

Tracy's monthly payments is $62.41.

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.

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Given:

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SI = $4494

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= 749

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The length of a cell phone is 1.8 1.8 inches and the width is 4.4 4.4 inches. The company making the cell phone wants to make a new version whose length will be 1.17 1.17 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone

Answers

Answer: Width=2.86 in.


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Answers

Answer:

7.2inches.

Step-by-step explanation:

Given parameters:

Radius of Circle A  = 6inches

Unknown:

Radius of circle B  = ?

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We are to find the radius of circle B.

  The relationship between circle A and B is such that;

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   Radius of Circle B  = 1.2 x 6  = 7.2inches.

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

can you help me again UwU

Answers

Answer:

Upper Left

Bigger slopes means steeper lines.

Good luck!

You are packing a canoe for a
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Answers

Answer:

12x + 45 < 117

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Answers

Answer:

The answer is -3.43

Step-by-step explanation:

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Number 1...

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

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Answers

Answer:

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Answers

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1 x 2 = 2

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O 16
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Answers

Answer:

64

Step-by-step explanation:

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Answer:

b should be correct

Step-by-step explanation:

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