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german
4 years ago
12

Factor completely 5b2+20ab+15a2

Mathematics
1 answer:
Harman [31]4 years ago
7 0

Answer:

5 • (b + 3a) • (b + a)

tell me if I got it right

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The first question: Solve by taking the square root I need help understanding the steps to solve this!
shepuryov [24]

Answer:

see explanation

Step-by-step explanation:

(1)

Given

3(x + 3)² - 1 = - 13 ( add 1 to both sides )

3(x + 3)² = - 12 ( divide both sides by 3 )

(x + 3)² = - 4 ( take the square root of both sides )

x + 3 = ± \sqrt{-4} = ± 2i  ( subtract 3 from both sides )

x = - 3 ± 2i ← complex conjugate roots

(2)

Given

3x² - 12x + 27 = 0 ( subtract 27 from both sides )

3x² - 12x = - 27 ( divide through by 3 )

x² - 4x = - 9

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 2)x + 4 = - 9 + 4

(x - 2)² = - 5 ( take the square root of both sides )

x - 2 = ± \sqrt{-5} = ± i\sqrt{5} ( add 2 to both sides )

x = 2 ± i\sqrt{5} ← complex conjugate roots

4 0
4 years ago
I really need your help on this
Sveta_85 [38]

Answer:

That is an improper fraction

Step-by-step explanation:

When the numerator (the top) is greater than the denominator (The bottom) then the fraction is improper

Hope this helps!

4 0
2 years ago
Read 2 more answers
Which expression is equivalent to 2^5?
N76 [4]

Answer: 2 x 2 x 2 x 2 x 2

Step-by-step explanation:

This is an exponent so you have the base number which is two and the 5 is how much times to multiply the base number.

Hope that helps!

3 0
3 years ago
Which of the graphs below correctly solves for x in the equation −x2 − 3x − 1 = −x − 4?
gtnhenbr [62]

Answer:

Graph of quadratic opening downward and linear sloping up to the left. They intersect at point negative 3, negative 1 and point 1, negative 5

Step-by-step explanation:

we have

-x^{2} -3x-1=-x-4

we can separate the expression above into two equations

y=-x^{2} -3x-1 ----> equation A

This is a quadratic equation ( vertical parabola) open downward (the leading coefficient is negative)

y=-x-4 ----> equation B  

This is a linear equation with negative slope (decreasing function).so linear sloping up to the left

The solution of the original expression are the x-coordinates of the intersection point both graphs

using a graphing tool

The intersection points are (-3,-1) and (1,-5)

see the attached figure

4 0
3 years ago
A baker made 9 cupcakes, each a different type. Four people want to share them equally. How many cupcakes will each person get?
Marina86 [1]

Answer:

each person gets 2 1/4 of a cupcake

Step-by-step explanation:

the correct division expression is 9/4=the amount of cupcakes each person gets

4 0
3 years ago
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