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2 years ago

The sum of 9 and twice a number

Mathematics

1 answer:

timofeeve [1]2 years ago

3 0

Answer:

2x + 9

Step-by-step explanation:

Let, "A number", be denoted by the variable, x.

Note the meaning of each part:

"the sum" means addition, or + .

"twice" means multiply by 2

Put the parts together:

The sum of 9 and twice a number

2x + 9 is your amsw34.

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Determine the domain of the function h=9x/x(x^2-49)

Juliette [100K]

ANSWER

$( - \infty , - 7) \cup( - 7 , 0) \cup(0 , 7 )\cup(7 , + \infty )$

EXPLANATION

The given function is

$h(x) = \frac{9x}{x( {x}^{2} - 49) }$

This function is defined for values where the denominator is not equal to zero.

$x( {x}^{2} - 49) \ne0$

$x(x - 7)(x + 7) = 0$

The domain is

$x \ne - 7, x \ne0, \: and \: x \ne 7,$

$( - \infty , - 7) \cup( - 7 , 0) \cup(0 , 7 )\cup(7 , + \infty )$

8 0

3 years ago

Given right triangle MNL what is the value of cos(M)?

FromTheMoon [43]

Step $1$

<u>Find the length of the side MN</u>

we know that

Applying the Pythagorean Theorem

$ML^{2} =NL^{2} +MN^{2}$

Solve for MN

$MN^{2}=ML^{2} -NL^{2}$

in this problem

$ML=25\ units\\ NL=15\ units$

Substitute in the formula above

$MN^{2}=25^{2} -15^{2}$

$MN^{2}=400$

$MN=20\ units$

Step $2$

<u>Find the value of cos (M)</u>

we know that

in the right triangle MNL

$cos (M)=\frac{adjacent\ side\ angle\ M}{hypotenuse}$

$adjacent\ side\ angle\ M=MN=20\ units\\ hypotenuse=ML=25\ units$

Substitute

$cos (M)=\frac{20}{25}$

$cos (M)=\frac{4}{5}$

$cos (M)=0.8$

therefore

The answer is

The value of cos(M) is equal to $0.8$

6 0

3 years ago

Esther pays $355 per month for 5 years for a car. She made a down payment of $2,500. If the loan costs 7.1% per year compounded

oksano4ka [1.4K]

The cash price of the car includes the amount of the loan plus the amount of the down payment
Cash price=the loan of the car+down payment

First find the amount of the loan by using the formula of the present value of an annuity ordinary which is
Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]
Pv the amount of the loan ?
PMT payment per month 355
R interest rate 0.071
K compounded monthly 12
N time 5years
Pv=355×((1−(1+0.071÷12)^(−12
×5))÷(0.071÷12))
=17,885.56

Cash price=17,885.56+2,500
=20,385.56....answer

5 0

3 years ago

You take out a student loan for $80,000 with 2.75% annual interest to pay for your first year of college. This loan will cover a

yKpoI14uk [10]

Exponential growth equation would be

Amount= 80,000 (1+2.75/100) ⁴

At the end of 4 years I would have to repay an amount of $ 89,169.70

Step-by-step explanation:

Since, the amount is loaned it would vary exponentially i.e. in a compounding manner.

We know that for compound interest, the equation is written as-

Amount= principal(1+r/100) ˣ

Where r- rate of interest which is 2.75% annually

And x= time period= 4 years as in the question

Principal= $ 80,000

Therefore, Equation becomes-

Amount= 80,000(1+2.75/100) ⁴

On solving this Amount would equal $ 89,169.70

Hence, at the end of 4 years I would have to repay an amount of $ 89,169.70.

6 0

3 years ago

Which graph shows the result of dilating this figure by a factor of 3 about the origin?

SVETLANKA909090 [29]

Do you have a picture that shows the graphs

6 0

3 years ago

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