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3 years ago

Graph the quadratic function f(x)=(x−4)(x+2).

Mathematics

1 answer:

Pani-rosa [81]3 years ago

3 0

See attached picture:
vertex (1,-9)

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6. Write the factors of 36. Separate the factors with commas.

faltersainse [42]

1,2,3,4,6,12,18,36 are the factors!

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3 years ago

brooke found the equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form as follows

Goryan [66]

Answer:

The equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is $\mathbf{y=-4x-3}$

Step-by-step explanation:

Equation of line passing through the points (-7,25) and (-4,13) in slope-intercept form.

The general equation of slope-intercept form is: $y=mx+b$

First we need to find slope

The formula used for finding slope is: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We are given: $x_1=-7, y_1=25, x_2=-4, y_2=13$

Putting values in formula and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{13-25}{-4-(-7)}\\Slope=\frac{13-25}{-4+7}\\Slope=\frac{-12}{3}\\Slope=-4$

So, slope m= -4

Now finding y-intercept

Using slope m=-4 and point (-7,25) we can find y-intercept

$y=mx+b\\25=-4(-7)+b\\25=28+b\\b=25-28\\b=-3$

So, y-intercept b =-3

Now, the equation of required line having slope m=-4 and y-intercept b=-3 is:

$y=mx+b\\y=-4x-3$

So, the equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is $\mathbf{y=-4x-3}$

3 0

3 years ago

135 miles on 4 gallons of gas

8_murik_8 [283]

To find out how many miles 1 gallon of gas uses we will divide.

135 ÷ 4 = <span>33.75

Check our work:-

33.75 </span>× 4 = 135

So, <span>33.75 miles per gallon.

Hope I helped ya!!</span>

3 0

3 years ago

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A grocery store only sells eggs by the dozen.There are 12 eggs in one dozen eggs.If there are 624 eggs in stock how many dozens

Ratling [72]

Work:

624 divided by 12 equals 52

answer:

52 dozens

3 0

3 years ago

In a bowl of fruit there are green grapes and black grapes in the ratio 3:4.If there are 24 green grapes how many black grapes a

xxMikexx [17]

Answer:

If there are 24 green grapes, then there would be 32 black grapes!

Step-by-step explanation:

First, identify what you know.

1) In a bowl of fruit, there are green grapes, and black grapes.

2) The ratio of green grapes to black grapes is 3:4

3) There are 24 green grapes

Simply divide 4 by 3!

4/3 = 1.3

24 x 1.3 = 32

Hope this helps! :)

5 0

3 years ago

Read 2 more answers