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diamong [38]
3 years ago
9

Simplify the expression 5(x − 3)(x2 + 4x + 1).

Mathematics
2 answers:
Gekata [30.6K]3 years ago
6 0

Answer:

5x3+5x2−55x−15

Step-by-step explanation:

5(x−3)(x2+4x+1)

=(5(x−3))(x2+4x+1)

=(5(x−3))(x2)+(5(x−3))(4x)+(5(x−3))(1)

=5x3−15x2+20x2−60x+5x−15

=5x3+5x2−55x−15

Vitek1552 [10]3 years ago
4 0

Answer:

5x³ + 5x² - 55x - 15

Step-by-step explanation:

simplify the expression:

5(x − 3)(x² + 4x + 1)

use the distributive property to multiply 5 by x-3

(5x - 15) (x² + 4x + 1)

Use the distributive property to multiply 5x−15 by x² +4x+1 and combine like terms

5x³ + 5x² - 55x - 15

================

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Please help, legit need to study for so many exams and this is the last thing on my mind to do. Appreciate anybody willing to he
Ivenika [448]

Answer:

x=13

z=84

Step-by-step explanation:

The intersection of two of these lines actually have relationships. The two angles that have the variable x both add up to 180 degrees since we assume for them to be a straight line, and the angle with '11x-59' is equal to Z since they are vertical from each other.

Knowing this, we can add the two equations together and equal it to 180. This is to give us the variable x.

(11x-59)+(13x-73)=180       (always use parenthesis!)

24x-132=180                     (combine like terms)

24x=312

x=13                                   (isolate x)

We now know that the x stands for 13, but we are not done. By plugging in the variable x in for the equation 11x-59, we can find the value of z since they are vertical angles.

11(13)-59=84

z=84

8 0
2 years ago
Please I need help!
Monica [59]

Answer:

1)

\text{ Slope = -3}

2)

y+4=-\frac{7}{8}(x-7)

3)

y=-\frac{7}{8}x+\frac{17}{8}

Step-by-step explanation:

We want to write the equation of the line that passes through the points (7, -4) and (-1, 3) first in point-slope form and then in slope-intercept form.

1)

First and foremost, we will need to find the slope of the line. So, we can use the slope-formula:

m=\frac{y_2-y_1}{x_2-x_1}

Let (7, -4) be (x₁, y₁) and let (-1, 3) be (x₂, y₂). Substitute them into our slope formula. This yields:

m=\frac{3-(-4)}{-1-7}

Subtract. So, our slope is:

m=\frac{7}{-8}=-7/8

2)

Now, let's use the point-slope form:

y-y_1=m(x-x_1)

We will substitute -7/8 for our slope m. We will also use the point (7, -4) and this will be our (x₁, y₁). So, substituting these values yield:

y-(-4)=-\frac{7}{8}(x-7)

Simplify. So, our point-slope equation is:

y+4=-\frac{7}{8}(x-7)

3)

Finally, we want to convert this into slope-intercept form. So, let's solve for our y.

On the right, distribute:

y+4=-\frac{7}{8}x+\frac{49}{8}

Subtract 4 from both sides. Note that we can write 4 using a common denominator of 8, so 4 is 32/8. This yields:

y=-\frac{7}{8}x+\frac{49}{8}-\frac{32}{8}

Subtract. So, our slope-intercept equation is:

y=-\frac{7}{8}x+\frac{17}{8}

And we're done!

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Answer:$50

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Given: ∠A is a straight angle. ∠B is a straight angle.

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So, ∠A and <B both would be of 180°.

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