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

Which point is the y-intercept of the line represented by the equation y-3=13(x+6)?







(0,9)
(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.

What is a linear equation?

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

Where m is the slope of the line and c is the y-intercept of the line.

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,

y - 3 = 13x + 78

y = 13x + 78 + 3

y = 13x + 81

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

More about the linear equation link is given below.

https://brainly.com/question/11897796

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The options are wrong. Then the correct options are given below.

A. (0, 81)

B. (0, -81)

C. (-81, 0)

D. (81, 0)

4x + 6y - z=-18
3x +2y - 4z = -24
- 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.

What is an equation of the line that passes through the point
(6,7) and is parallel to the line
2x−3y=9?

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:

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

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

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

Adding 3y on both sides and subtracting 9 from both sides

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

Dividing whole equation by 3

[tex]\frac{3y}{3} = \frac{2x-9}{3}\\y = \frac{2}{3}x - \frac{9}{3}\\y = \frac{2}{3}x-3[/tex]

Let m be the slope of given line then

m = 2/3

Let m1 be the slope of line parallel to given line. Slopes of two parallel lines is equal that means:

m = m1 = 2/3

The equation of line will be:

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

Putting the point (6,7) in equation

[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]

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 value of 43 ?
O 12
O 16
O 43
O 64

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:

The difference between two numbers is 3.50. The lesser number is 1.65.
What is the other number?

Answers

Answer:

5.15

Step-by-step explanation:

you add 3.50 and 1.65 to get the other number

1. Estimate twenty-nine percent of forty-eight. Please again no decimal form!
2. Estimate sixty-two percent of one hundred twenty-four. no decimal form please!
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?

Answers

Number 1...

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

Draw and solve

3. You sight a rock climber on a nearly vertical cliff at a 32° angle of elevation. The horizontal ground distance to the base of the cliff is 1,000 ft. Find the line-of-sight distance to the rock climber.

Answers

Answer: 58 degrees

Step-by-step explanation:

What is the equation of the line through the points (3, 2), (8, 5), (13, 8) and (18, 11)? HELP ASAP I WILL MAKR BRAINLIEST PLSSSSSSS

Answers

Is it multiple choice?

Answer:(it might be)

y=5/3x+1/3

Step-by-step explanation:

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

Answers

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

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

Answers

Answer:

Step-by-step explanation:

y=8x

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

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.


Explanation: Since we have a proportion, we can use the equation 1.8/4.4=1.17/x.

Cross multiplying gives us 1.17*4.4=1.8x and solving for x gives us 2.86 in.

When given a table, what operations do you use to determine the slope of the graph?
Group of answer choices

Subtraction

Division

Both A & B

None of the Above

Answers

Answer:

division

Step-by-step explanation:

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

Answers

Answer:

True

Step-by-step explanation:

jrhudoakueieeisp

Answer:

A: True

B: False

Step-by-step explanation:

8a: x=5 and y=11

A= 84°

B= 96°

C= 96°

D= 84°

8b: x=4 and y=2

A= 66°

B= 6°

C= 15°

D= 64°

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

Pleas help me with this question im confused and I hate math

Answers

Answer:

its 2

Step-by-step explanation:

Write a system of equations with the solution (4,-3). Show your work.

Answers

Answer:

4x4 then dived by 8you will get 4x4=16 dived by 8=8

Write the decimal as a fraction or mixed number in simplest form.
9.75

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

                 100 ÷ 25

B. Convert improper fraction to mixed number:

39/4 = 9 3/4

(39 ÷ 4 = 9 remainder 3)

can you help me again UwU

Answers

Answer:

Upper Left

Bigger slopes means steeper lines.

Good luck!


What is the area of the above trapezoid? Please help
I will cash app if you help out

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

Circle A has a radius of 6 inches. Circle b has a radius 20% greater than circle A. What is the radius of circle B?

Answers

Answer:

7.2inches.

Step-by-step explanation:

Given parameters:

Radius of Circle A  = 6inches

Unknown:

Radius of circle B  = ?

Solution:

We are to find the radius of circle B.

  The relationship between circle A and B is such that;

    Radius of Circle B  = 20% greater than that of A

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

Tracy is borrowing $10,700 on a six-year, %, add-on interest loan. What will Tracy's monthly payments be?

Answers

Answer:

Step-by-step explanation:

Use the formula I=prt. (Interest = principle x rate x time)

So, I = 10700 x 0.07 (7% as a decimal) x 6

So, I = 749(6)

I = 4494

Now, divide 4494 by 6(12)

4494/71

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.

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

and, Simple Interest = PRT/100

Given:

P= 10700

Time= 6 year

Interest = 7%

Now, using simple interest

SI = P x R x T/100

SI = (10700 x 0.07 x 6)

SI = $4494

So, Tracy's yearly payments

= 4494/6

= 749

and, Tracy's monthly payments

= 749 / 12

= 62.41

Hence, Tracy's monthly payments is $62.41.

Learn more about Simple interest here:

https://brainly.com/question/25845758

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What is the slope of the line shown on the graph?

Pick two points on the line, then use the slope formula.
The slope is

Answers

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

Answer:

the slope is 1/2

Step-by-step explanation:

What is -4 1/2 - (-1.07)

Answers

Answer:

The answer is -3.43

Step-by-step explanation:

You are packing a canoe for a
river trip. The canoe weighs 45 pounds and each supply pack weighs 12 pounds. How many supply packs can you put in the canoe if your total weight must be under 117 pounds?

Answers

Answer:

12x + 45 < 117

If you want an exact number, it is 6 packs. That will make the weight of the canoe exactly 117 pounds

answer this strenuous question

Answers

Yes very tru jnhibjhgyufhgcghcguv

You are adding to rational numbers with different signs. How can you tell if the sum will be positive, negative, or zero? #24​

Answers

Answer:

it would be positive

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

If two number have the same absolute value, they will equal zero:

-3 + 3 = 0

- 2 + 2 = 0

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

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

Answers

Answer: 600 sheets

Step-by-step explanation:

300/1 -> 300 sheets per 1 hour

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

300 x 2 = 600

1 x 2 = 2

Thus, the factor makes 600 sheets in 2 hours.

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