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Alexus [3.1K]
3 years ago
6

Consider the quadratic expression given below.

Mathematics
1 answer:
Alex777 [14]3 years ago
8 0

Answer:

4(x + 5)(x - 3)

Step-by-step explanation:

Given

4x² + 8x - 60 ← factor out 4 from each term

= 4(x² + 2x - 15) ← factor the quadratic

Consider the factors of the constant term (- 15) which sum to give the coefficient of the x- term (+ 2)

The factors are + 5 and - 3 , since

+ 5 × - 3 = - 15 and + 5 - 3 = + 2, then

x² + 2x - 15 = (x + 5)(x - 3)

Then

4x² + 8x - 60 = 4(x + 5)(x - 3) ← in factored form

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What expression is equivalent to the expression (4x+12) + 7x?
pochemuha

Answer:

11x + 12

Step-by-step explanation:

( 4x + 12 ) + 7x

Remove parentheses.

= 4x + 12 + 7x

Group like terms.

= 4x + 7x + 12

Add similar elements: 4x + 7x = 11x

= 11x + 12

8 0
3 years ago
Read 2 more answers
Solve for x<br> 3x+5≡0 mod 9
Whitepunk [10]

3x+5=0

3x=0-5

3x=-5

Divide both sides by 3

-1.6666.......

Hope it helps.

As for mod 9, I don't understand.

5 0
3 years ago
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Find the area of the figure shown. Use 3.14 to approximate pi
Nina [5.8K]
Alrighty

we gots 1/4 circle and paralellogram

area circle=pi times radius^2
area paralelogram=base times height


1/4 circle is
radius is 10 so
area part circle is 1/4 times pi times 10^2=100/4pi=25pi=78.5 m²

area paralllogram is
10 times 3 because 3 is height and 10 is base length or 30

30+78.5=108.5 m² is the area
4 0
3 years ago
If one card is randomly chosen from a standard deck, what is the probability that a black 7 is chosen? A. 2/52 B. 4/52 C. 7/52 D
netineya [11]

|\Omega|=52\\ |A|=2\\\\ P(A)=\dfrac{2}{52}\Rightarrow \text{A}

5 0
3 years ago
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What is the expression in factored form? 4x^2+11x+6<br><br>Show work please!!
Irina18 [472]
To solve this I'm going to split the middle term.
First multiply the first and last terms:
24x^2
So find two numbers that multiply to 24x^2 and add to 11x.
This would be 3x and 8x
Rewrite the problem as
4x^2+3x+8x+6
Take the first and 3rd and 2nd and 4th terms
4x^2 and 8x
and
3x and 6
Factor by grouping
Take out a 4x for the first group to get 4x(x+2)
Take out a 3 for the 2nd group to get 3(x+2)
Rewrite as (4x+3)(x+2)
Hope this helps.

6 0
3 years ago
Read 2 more answers
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