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3 years ago

Use function notation to write the equation of the line

Mathematics

1 answer:

blondinia [14]3 years ago

8 0

$f(x)=mx+b\to y=mx+b$

We have two points:

$(-3,\ 0);\ (-4,\ 7)$

The point slope form of the line:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

Substitute

$m=\dfrac{7-0}{-4-(-3)}=\dfrac{7}{-1}=-7$

$y-0=-7(x-(-3))\\\\y=-7(x+3)\\\\y=-7x-21$

Answer:

$f(x)=-7x-21$

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What is the conjugate? square root of 8 - square root of 9

elixir [45]

Answer:

-0.17157287525

Step-by-step explanation:

1. The square root of 8 will never be a whole number so it is 2.82842712475

2. Square root of 9 is 3.

3. You can already realize that the answer will not be whole or positive

4. Subtract in order.

5. The answer is -0.17157287525

4 0

3 years ago

Just number 7 would be fine but if you could also number 8 would help a lot

BlackZzzverrR [31]

Answer:

7. r = -5

8. x = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

r + 2 - 8r = -3 - 8r

Step 2: Solve for r

Combine like terms: -7r + 2 = -3 - 8r
Add 8r to both sides: r + 2 = -3
Subtract 2 on both sides: r = -5

Step 3: Check

Plug in r into the original equation to verify it's a solution.

Substitute in r: -5 + 2 - 8(-5) = -3 - 8(-5)
Multiply: -5 + 2 + 40 = -3 + 40
Add: -3 + 40 = -3 + 40
Add: 37 = 37

Here we see that 37 does indeed equal 37.

∴ r = -5 is a solution of the equation.

Step 4: Define equation

-4x = x + 5

Step 5: Solve for x

Subtract x on both sides: -5x = 5
Divide -5 on both sides: x = -1

Step 6: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: -4(-1) = -1 + 5
Multiply: 4 = -1 + 5
Add: 4 = 4

Here we see that 4 does indeed equal 4.

∴ x = -1 is a solution of the equation.

8 0

3 years ago

Read 2 more answers

You received a $178 per month raise. That was a 5% increase. What was your monthly salary before the increase? Show work please

zzz [600]

Answer: 169.52

Step-by-step explanation

%increase which is 5% =100 x final - initial

---------------------

initial

the initial is $169.52

and the final $178

3 0

3 years ago

Find the area of a trapezoid with bases that measure 9.2 CM and 7.7 cm and height 6.8 cm

maria [59]

$\bf \textit{area of a trapezoid}\\\\
A=\cfrac{h(a+b)}{2}~~
\begin{cases}
a,b=\stackrel{bases}{parallel~sides}\\
h=height\\
---------\\
a=9.2\\
b=7.7\\
h=6.8
\end{cases}\implies A=\cfrac{6.8(9.2+7.7)}{2}$

8 0

3 years ago

Read 2 more answers

Someone help me please☹️

Levart [38]

Answer:

my best advice: look at the y-intercepts!

Step-by-step explanation:

when the equations are set out like this, the last number (in this case "+4" and "-2"), represents where they cross the y axis. this gives you a great place to start.

if you plot (0, 4) for the first equation, you can then move right one square and down one square to get the next point in the equation.

the next one starts with (0, -2) and goes right one square and up two

5 0

3 years ago