All categories

3 years ago

Factor by grouping x^3-4x^2+7x-28

Mathematics

1 answer:

Komok [63]3 years ago

5 0

Answer:

(x - 4)(x^2 + 7)

Step-by-step explanation:

x^2 is a factor of the first two terms: x^3 - 4x^2 = x^2(x - 4).

7 is a factor of the last two terms: 7(x - 4).

Note how (x - 4) is a factor of the entire four-term expression given above.

Then: x^3-4x^2+7x-28 = (x - 4)(x^2 + 7)

You might be interested in

Aiko types at a rate of 70 words per minute. After typing at the same rate for 3 minutes, he had typed a total of 210 words. Thi

Eddi Din [679]

Answer:

Not sure if this is correct but it should be y=210x-140

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

For geometry:(<br><br> will give brainist to the correct answer!!!

Over [174]

Answer:

y = ⅔x - 5

Step-by-step explanation:

The line that passes through (-3, -7) will have the same slope (m) as the line, 2x - 3y = 24. This is because if two lines that are parallel to each other would have the same slope.

Rewrite 2x - 3y = 24, in the slope-intercept form, y = mx + b.

Thus:

2x - 3y = 24, rewritten would give us y = ⅔x - 8.

The slope of the line, 2x - 3y = 24, is ⅔.

Thus, the slope of the line that is parallel to 2x - 3y = 24, is also ⅔.

To find the equation, substitute a = -3, b = -7, and m = ⅔ into y - b = m(x - a).

Thus:

y + 7 = ⅔(x + 3)

Rewrite to make the equation in slope-intercept form.

Thus:

y + 7 = ⅔(x + 3)

3(y + 7) = 2(x + 3) ---› multiplication property of equality

3y + 21 = 2x + 6 ----› distributive property

3y = 2x + 6 - 21 ----› subtraction property of equality

3y = 2x - 15

y = ⅔x - 5 (division property of equality)

7 0

3 years ago

What is the slope of the line that passes through the points (5,8) and (7,4)

ehidna [41]

Answer:

slope is -2

Step-by-step explanation:

1. go to geogebra.org/classic (this is a graphing calculator)

2. enter your two points by using the second button on the top of the screen

3. connect a line from one point to the other using the 3rd button on the top of the screen

4. click on the line and it shall tell you the equation, including the slope :O))))

the slope is -2 and the equation is y = -2x + 18

5 0

3 years ago

Read 2 more answers

(01.06) Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x)= 3x − 3 The function g

Damm [24]

Answer:

<h2>They both have the same slope</h2>

Step-by-step explanation:

The standard equation of a given line is expressed as y = mx+c where m is the slope and c is the intercept.

given the function f(x)= 3x − 3, comparing this equation with the standard format, we will have;

mx = 3x

Divide through by x

mx/x = 3x/x

m = 3

Hence the slope of the function f(x)= 3x − 3 is 3.

For a function g(x) passing through the points (0, 2) and (1, 5), to determine the slope, we will use the formula for calculating slope expressed as;

m = Δy/Δx = y₂-y₁/x₂-x₁

From the coordinates, x₁ = 0, y₁ = 2, x₂ = 1, y₂ = 5

m = 5-2/1-0

m = 3/1 = 3

Hence the slope of g(x) passing through the points (0, 2) and (1, 5) is also 3.

<em>This shows that both functions have the same slope.</em>

3 0

3 years ago

A landscape designer drew a blueprint for a garden he was planning. The scale was 1 inch : 2.5 feet. The path through the garden

Digiron [165]

Yk I really don’t know what to do but I’m just saying that I’m going to be gone for a while

6 0

2 years ago