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shtirl [24]
3 years ago
15

Given f(x) = -3x + 3, solve for x when f(x) = 9.

Mathematics
2 answers:
Virty [35]3 years ago
6 0

Answer:

x = -2

Step-by-step explanation:

f(x) = -3x + 3

f(x) = 9

-3x + 3 = 9

Subtract 3 from both sides;

-3x = 6

Divide both sides by -3

x = -2

IgorLugansk [536]3 years ago
5 0
I think the awnser might be 3
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“I think of a number and divide it by 5. The answer is 20.”
muminat

Answer: 100

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Kyle works at a donut​ factory, where a​ 10-oz cup of coffee costs 95¢​, a​ 14-oz cup costs​ $1.15, and a​ 20-oz cup costs​ $1.5
Fynjy0 [20]

Answer:

Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.

Step-by-step explanation:

Let 10-oz, 14-oz, and 20-oz coffees be represented by the variables <em>a, b</em>, and <em>c</em>, respectively.

Since a total of 14 cups of coffee was served:

a+b+c=14

A total of 204 ounces of coffee was served. Therefore:

10a+14b+20c=204

A total of $16.70 was collected. Hence:

0.95a+1.15b+1.5c=16.7

This yields a triple system of equations. In order to solve a triple system, we should isolate the system to only two variables first.

From the first equation, let's subtract <em>a</em> and <em>b</em> from both sides:

c=14-a-b

Substitute this into both the second and third equations:

10a+14b+20(14-a-b)=204

And:

0.95a+1.15b+1.5(14-a-b)=16.7

In this way, we've successfully created a system of two equations, which can be more easily solved. Distribute:

For the Second Equation:

\displaystyle \begin{aligned} 10a+14b+280-20a-20b&=204\\ -10a-6b&=-76\\5a+3b&=38\end{aligned}

And for the Third:

\displaystyle \begin{aligned} 0.95a+1.15b+21-1.5a-1.5b&=16.7\\ -0.55a-0.35b&=-4.3\end{aligned}

We can solve this using substitution. From the second equation, isolate <em>a: </em>

<em />\displaystyle a=\frac{1}{5}(38-3b)=7.6-0.6b<em />

Substitute into the third:

-0.55(7.6-0.6b)-0.35b=-4.3

Distribute and simplify:

-4.18+0.33b-0.35b=-4.3

Therefore:

-0.02b=-0.12\Rightarrow b=6

Using the equation for <em>a: </em>

<em />a=7.6-0.6(6)=4<em />

<em />

And using the equation for <em>c: </em>

<em />c=14-(4)-(6)=14-10=4<em />

<em />

Therefore, Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.

7 0
2 years ago
Your friend borrows $7500 to buy an all-terrain vehicle (ATV). The simple annual interest rate is 6%. She pays off the loan afte
e-lub [12.9K]

Answer:

$162.50

Explanation:

The total amount to be paid is 7500+5(7500)(0.06)=$9750.

There were a total of (5)(12)=60 payments, so each payment is 9750/60 = $162.50.

6 0
2 years ago
Select all that apply: the quotient of 0.04 and g
BaLLatris [955]

Answer:

A, B, C, and F is your possible answers

The quotient of means to divide so  it could be any symbol and they could switch places when dividing.

5 0
3 years ago
I am once having trouble solving an equation. 6x2 - 2x = 19
brilliants [131]

Answer:

X=1 9/10

Step-by-step explanation:

6X multiply 2 - 2X=19

Calculate the product

12X-2X=19

Collect the like terms

10X=19

Divide both sides of the equation by 10

X=19/10

Simplify the improper fraction

X=1 9/10

7 0
3 years ago
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