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4 years ago

Rewrite it as a function and isolate y.

Mathematics

1 answer:

serious [3.7K]4 years ago

5 0

Answer:

f(x) = -5x + 16

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

y + 5x = 16

Step 2: Put into slope-intercept form

Subtract 5x on both sides; y = -5x + 16

Step 3: Rewrite in function notation

f(x) = -5x + 16

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If f(x)=-5^x-4 and g(x)=-3x-2 find (f-g)(x)

sukhopar [10]

Answer:

$(f-g)(x) = 5^x +3x -2$

Step-by-step explanation:

The value (f-g)(x) means subtract the function g from f. This can be done by combining only like terms between each.

$(f-g)(x) = 5^x - 4 -(-3x-2)\\(f-g)(x) = 5^x - 4 +3x + 2\\(f-g)(x) = 5^x +3x -2$

4 0

3 years ago

Read 2 more answers

Determine the speed of a comet that moves 3.20x1015m in 4.80x10's.

kenny6666 [7]

Answer:

Step-by-step explanation:

15 mph just multiply it

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4 years ago

Read 2 more answers

Ann had 48 fliers to post around town. Last week, she posted 2/3 of them. This week, she posted 3/8 of the remaining fliers. How

IrinaK [193]

Answer:

Ann had 48 fliers to post around town

Last week, she posted 2/3 of them

$48 \times \frac{2}{3} = 32 \\$

Therefore, she should posted 32 fliers

This week, she posted 3/8 of the remaining fliers

$48 \times \frac{3}{8} = 18 \\$

Therefore, she should posted 18 fliers

Total fliers she should post are (32+18)=50 fliers

She still did not post (50-48)= <u>2 fliers</u>

<h3><em><u>2 fliers </u></em>is the right answer.</h3>

4 0

3 years ago

Use the linear combination method to solve the system of equations.

Kaylis [27]

For a system of equations to have no real solution, the lines of the equations must be parallel to each other. The solution of the system of equation is (-3.4, -9).

<h3>What is the system of equations?</h3>

Inconsistent System

For a system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.

Add the two equations,

–2.1x + 4y + 2.1x – 5.5y = –0.2 + 5.3

-2.1x + 2.1x + 4y -5.5y = 5.1

-1.5 y = 5.1

y = 5.1/1.5

y = -3.4

Now, substitute the value of y in any one of the equation, therefore,

-2.1x + 4y = 5.3

-2.1x + 4(-3.4) = 5.3

-2.1x - 17.36 = 5.3

-2.1x = 22.66

x = -9

Hence, the solution of the system of equation is (-3.4, -9).

Learn more about the System of equations:

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3 0

3 years ago

Suzy found the difference of x and 4 and then divided by 2. Write an algebraic expression to represent this word phrase.

gtnhenbr [62]

Answer: $\dfrac{(x-4)}{2}$

Step-by-step explanation:

In algebra , We use algebraic expression to represent word phrase.

For example : 7 is added to p is written as " $7+p$ "

-8 is multiplied by p is written as " $-8p$ "

The statement : Suzy found the difference of x and 4 and then divided by 2.

First we express the difference of x and 4 as $(x-4)$

Then, we express entire statement : "difference of x and 4 and then divided by 2" = $\dfrac{(x-4)}{2}$

Hence, the algebraic expression to represent this word phrase: $\dfrac{(x-4)}{2}$

4 0

4 years ago

Rewrite it as a function and isolate y. ​

Rewrite it as a function and isolate y.