1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lozanna [386]
3 years ago
7

Need these 2 answered. 25 points! Please show work, Thanks! :)

Mathematics
2 answers:
adoni [48]3 years ago
5 0

Answer:

  • 2(x+3)(x+5)
  • -4(x+2)(x-4)

Step-by-step explanation:

1.

2x^2+16x +30\\\\\mathrm{Factor\:out\:common\:term\:}2:\\\quad 2\left(x^2+8x+15\right)\\\\\mathrm{Factor}\:x^2+8x+15:\\\quad \left(x+3\right)\left(x+5\right)\\\\\\=2\left(x+3\right)\left(x+5\right)

2.

-4x^2+8x+32\\\\\mathrm{Factor\:out\:common\:term\:}-4:\\\quad -4\left(x^2-2x-8\right)\\\\\mathrm{Factor}\:x^2-2x-8:\\\quad \left(x+2\right)\left(x-4\right)\\\\=-4\left(x+2\right)\left(x-4\right)

sasho [114]3 years ago
3 0
Hello!

1. -4x2 + 8x + 32
-4(x2 - 2x - 8)
-4(x2 + 2x - 4x - 8)
-4(x(x + 2) - 4(x + 2))
-4(x + 2)(x - 4)
Answer A.

2. 2x2 + 16x + 30
2(x2 + 8x + 15)
2(x2 + 5x + 3x + 15)
2(x(x + 5) + 3(x + 5))
2(x + 5)(x + 3)
Answer C.

You might be interested in
The sum of three numbers is 82 The second number is 3 times the third. The third number is 8 more than the first. What are the n
olganol [36]

Answer:

22 46 15

Step-by-step explanation:

i looked it up because i was even confused. but i think this is right. hope this helps.

5 0
3 years ago
Need help with number 3 inequalities with variables on both sides
Volgvan

Answer:

x ≤ 2

Step-by-step explanation:

We are given the inequality:

\displaystyle{2x-3 \leq \dfrac{x}{2}}

First, get rid of the denominator by multiplying both sides by 2:

\displaystyle{2x\cdot 2-3\cdot 2 \leq \dfrac{x}{2}\cdot 2}\\\\\displaystyle{4x-6 \leq x}

Add both sides by 6 then subtract both sides by x:

\displaystyle{4x-6+6 \leq x+6}\\\\\displaystyle{4x \leq x+6}\\\\\displaystyle{4x-x \leq x+6-x}\\\\\displaystyle{4x-x \leq 6}\\\\\displaystyle{3x \leq 6}

Then divide both sides by 3:

\displaystyle{\dfrac{3x}{3} \leq \dfrac{6}{3}}\\\\\displaystyle{x \leq 2}

Therefore, the answer is x ≤ 2

5 0
1 year ago
Read 2 more answers
Carlos and Maria drove a total of 228 miles in 4.6 hours. Carlos drove the first part of the trip and averaged
aleksklad [387]

Answer:

around 228

Step-by-step explanation:

8 0
2 years ago
How to identify the slope of the line that passes through the given points 4,4 and -2,-3?
Eva8 [605]
A=(-3-4)/(-2-4)=-7/-6=7/6
7 0
2 years ago
A garden table and a bench cost $985 combined. The garden table costs $35 more than the bench. What is the cost of the bench?
Papessa [141]
985-35=950, 950÷2=475, 475+35=510, 510 and 475
3 0
3 years ago
Read 2 more answers
Other questions:
  • Write 15 1/4% as a decimal (not as a percentage)
    8·1 answer
  • In the first two hours of the trip, Julissa drove 120 miles. In the next hour, she traveled only 48 miles. What was Julissa’s av
    13·1 answer
  • You move up 4 units and right 2 units. You end at (-1, 3). Where did you start?
    12·2 answers
  • Your restaurant has assets of $45,321 and liabilities of $32,567. What is the equity of your business?
    12·2 answers
  • Identify the graphed linear equation.
    11·1 answer
  • Help please! (See image.)
    10·1 answer
  • In​ 2016, there were about 46 comma 500 cinema screens in a country. If about 32.6​% of the total screens in the country were di
    11·1 answer
  • Dierdre’s work to solve a math problem is shown below.
    13·2 answers
  • Halp halp halp meee <br> I give brain list to best answer pwease halp
    10·2 answers
  • Z varies directly as x2. If z = 12 when x=2, find z when x=4.<br> Z=
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!