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3 years ago

Question 10 (5 points)

Mathematics

1 answer:

kakasveta [241]3 years ago

7 0

Answer:

Hey there!

Slope: 7-3/1-(-1), which is equal to 4/2, or 2.

Point slope: y-7=2(x-1)

So choice B is correct.

Let me know if this helps , or if you have any more questions :)

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Choose the correct classification of 3x^2 + 2.

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Answer:

The answer is C. Quadratic Binomial

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3 years ago

What expression is equivalent to the expression (4x+12) + 7x?

pochemuha

Answer:

11x + 12

Step-by-step explanation:

( 4x + 12 ) + 7x

Remove parentheses.

= 4x + 12 + 7x

Group like terms.

= 4x + 7x + 12

Add similar elements: 4x + 7x = 11x

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3 years ago

Read 2 more answers

zepelin [54]

Answer:

The required equation is: $\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}$

Step-by-step explanation:

We need to find equation from the table given

x f(x)

3 -5

7 -2

11 1

15 4

We can write equation in the form of $y=mx+b$

where m is slope and b is y-intercept.

Finding Slope

We can used the slope formula to find slope: $Slope=\frac{y_2-y_1}{x_2-x_1}$

From the table we have: $x_1=3, y_1=-5, x_2=7, y_2=-2$

Putting values and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{7-3} \\Slope=\frac{-2+5}{7-3}\\Slope=\frac{3}{4}$

So, we get slope $m=\frac{3}{4}$

Now, finding y-intercept

Using the slope $m=\frac{3}{4}$ and point (3,-5) we can find y-intercept

$y=mx+b\\-5=\frac{3}{4}(3)+b\\-5=\frac{9}{4}+b\\b=-5-\frac{9}{4}\\b=\frac{-5*4-9}{4}\\b=\frac{-20-9}{4}\\b=\frac{-29}{4}$

The y-intercept is $b=\frac{-29}{4}$

So, the equation having slope $m=\frac{3}{4}$ and y-intercept $b=\frac{-29}{4}$ will be:

$y=mx+b\\y=\frac{3}{4}x-\frac{29}{4}$

The required equation is: $\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}$

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A-b
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