MATHEMATICS HIGH SCHOOL

If f(x) = 6 – 5x and g(x) = 4x – 1, evaluate f(x) – g(x) for x = –2. A. –11 B. 7 C. 9 D. 25

Answers

Answer 1

Answer:

Answer:

D. 25

Step-by-step explanation:

f(x) = 6 – 5x and g(x) = 4x – 1

We want to subtract.

f(x) -g(x)= 6 – 5x -( 4x – 1)

Distribute the minus sign

6 – 5x - 4x + 1

I line them up vertically

– 5x +6

- 4x + 1

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

-9x +7

Now let x = -2

-9(-2) +7

18+7

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If the x- intercept is 2 and the y- intercept is -5 and the slope is 1/3. Write in equation in slope intercept form and standard form.

Answers

Answer:

The equation in slope-intercept form is

$y=(5)/(2)x-5$

The equation in the standard form will be:

$(5)/(2)x-y=5$

Step-by-step explanation:

The x-intercept is obtained when we set the value y=0

As the x-intercept is 2, therefore the point representing

the x-intercept will be: (2, 0)

The y-intercept is obtained when we set the value x=0

As the y-intercept is -5, therefore the point representing

the y-intercept will be: (0, -5)

So we get the two points

(2, 0)

(0, -5)

Finding the slope between (2, 0) and (0, -5)

$\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\left(x_2,\:y_2\right)=\left(0,\:-5\right)$

$\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)$

$m=(-5-0)/(0-2)$

$m=(5)/(2)$

Using the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

Here m is the slope

substituting the values m = 5/2 and the point (2, 0)

$y-0=(5)/(2)\left(x-2\right)$

so writing the equation in slope-intercept form

As we know that the slope-intercept form is

$y=mx+b$

here

m = gradient or slop

b = y-intercept

$y=(5)/(2)\left(x-2\right)$

$y=(5)/(2)x-5$

Hence, the equation in slope-intercept form is

$y=(5)/(2)x-5$

Writing the equation in the standard form form

As we know that the equation in the standard form is

$Ax+By=C$

where x and y are variables and A, B and C are constants

As we already know the equation in slope-intercept form

$y=(5)/(2)x-5$

so the equation in the standard form will be:

$(5)/(2)x-y=5$

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Answers

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Harry's rectangular side yard is 2 yards by 14 yards with an area of 28 square yards. Which dimensions have the same area

Answers

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Answers

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Factors of a number are those numbers which divide a number without leaving any remainder
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Answers

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Answers

Answer:

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Step-by-step explanation:

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