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3 years ago

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Tracy’s new car lease costs her $169 a month for a total of 39 months. She put $1,500 down at signing and keeps track each month

of the total amount she has spent. Which function could represent the total amount of money Tracy has spent on her lease based on the number of months, x, she has paid?
y = 169x + 1500

y = (169 + 1500)x

y = 169(x + 1500)

y = 1500x + 169

1 answer:

timama [110]3 years ago

3 0

Answer:

y = 169x + 1500

Step-by-step explanation:

You might be interested in

Which of the following function pairs are inverses?

irga5000 [103]

If the function f(x) = 5x – 3, then its inverse function g(x) will be (x + 3) / 5. Then the correct option is C.

<h3>What is inverse of a function?</h3>

Suppose that the given function is

f:X → Y

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

f⁻¹: Y → X

such that:

$\forall \: x \in X : f(x) \in Y, \exists \: y \in Y : f^{-1}(y) \in X$

(and vice versa).

It simply means, inverse of 'f' is undo operator, that takes back the effect of 'f'.

If the f(x) = 5x - 3, then the inverse function of the f(x) will be

g(x) = f⁻¹(x)

Then we have

5g(x) - 3 = x

5g(x) = x + 3

g(x) = (x + 3) / 5

Then the correct option is C.

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8 0

2 years ago

Solve (get the variable by itself): h + 2.9 = 12.2

spayn [35]

H=9.3
h+2.9=12.2
2.9-2.9=0
12.2-2.9=9.3
I hope that helped

3 0

4 years ago

Read 2 more answers

Correct answer will get brainliest

Sophie [7]

Answer:

4.) Choice B

&

5.) Choice A

Step-by-step explanation:

<em><u>Question 4:</u></em>

First you have to solve for y to get slope intercept form.

$2x-5y=6\\5y=-2x+6\\y=-\frac{2}{5}x+\frac{6}{5}$

The slope is a fraction but you need it to convert it to a decimal so that'll be Choice B.

<em><u>Question 5:</u></em>

For this one I we will use this formula $m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

I will choose the easy pairs to plug it in $(-12,-2) (20,6)$

$\frac{6--2}{20--12}\\\\\\\frac{8}{32}=\frac{1}{4}$

The slope is a fraction again but you can convert it and that'll be Choice A.

5 0

3 years ago

Furkat [3]

Answer:

D) 2, 4, 8, 16, 32

Step-by-step explanation:

We have given four sets of sequence.

And we have to find out which sequence is not an arithmetic sequence.

For this the given sequences should satisfy the value of common difference(d) and Arithmetic Progression formula.

A.P. Formula,

$T_n=a+(n-1)d$

Where $T_n$ = nth term of an A.P.

a = first term of an A.P.

n = number of terms.

d = common difference.

'd' is calculated by subtracting fist term from second term.

$d = second\ term-first\ term$

A) 4, 7, 10, 13, 16

$d = 7-4=3$

$d = 10-7=3$

Here d=3 and 5th term is 16.

So we find out the 5th term by using the formula of A.P. To check whether the sequence is in A.P. or not.

$T_5=4+(5-1)3=4+4\times\ 3=4+12=16$

Here the given sequence fulfills the condition of being in A.P.

Hence the given sequence is an arithmetic sequence.

B) 1, 2, 3, 4, 5

$d =2-1=1$

$d =3-2=1$

Here d=1 and 5th term is 5.

$T_5=1+(5-1)1=1+4=5$

Here the given sequence fulfills the condition of being in A.P.

Hence the given sequence is an arithmetic sequence.

C) 15, 9, 3, -3, -9

$d =9-15=-6$

$d =3-9=-6$

Here d=-6 and 5th term is -9.

$T_5=15+(5-1)-6=15+4\times -6=15+(-24)=-9$

Here the given sequence fulfills the condition of being in A.P.

Hence the given sequence is an arithmetic sequence.

D) 2, 4, 8, 16, 32

$d_1=4-2=2$

$d_2=8-4=4$

Here $d_1=2\ But\ d_2=4$

The common difference between the terms is not same.

In case of $d_1$ .

$T_5=2+(5-1)2=2+4\times 2=2+8=10$

In case of $d_2$ .

$T_5=2+(5-1)4=2+4\times 4=2+16=18$

Here the given sequence does not fulfills the condition of being in A.P.

Hence the given sequence is not an arithmetic sequence.

Hence the correct option is D) 2, 4, 8, 16, 32.

4 0

4 years ago

PLEASE HELP WILL MARK BRAINLIEST..Write a polynomial function of least degree with rational coefficients so that P(x) = 0 has th

Svetlanka [38]

A polynomial function of least degree with rational coefficients so that P(x) = 0 has the given roots is P(x)=x²-5x-14

<h3>What is a polynomial function?</h3>

A function is said to as polynomial when a variable in an equation, such as a quadratic equation or cubic equation, etc., has only positive integer exponents or non-negative integer powers. One polynomial with an exponent of 1 is 2x+5, for instance. One that has more than two algebraic terms is referred to as a polynomial expression. Polynomial is a monomial or binomial that is repeatedly added, as the name suggests.

A mathematical expression containing one or more algebraic terms, where each algebraic term is made up of a constant multiplied by one or more variables raised to a nonnegative integral power.

x= -2, x=7

Given,

P(x) = 0

This polynomial function has the roots,

x= -2, x=7

So,

(x+2)(x-7)

We have to multiply both of them we get,

P(x)=(x+2)(x-7)

0=x²-5x-14

x²-5x-14=0

Therefore, P(x)=x²-5x-14 is the polynomial function.

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6 0

1 year ago