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pochemuha
1 year ago
9

8TH GRADE MATH 100 POINTS+BRAINLIEST - Factor Quadratic equations- please write out the steps, explain simply, and possibly prov

ide a couple rules to remember for questions like these in the future. Any offensive answers or ones for the sake of points will be reported THANKS SO MUCH!!!
Also, 5 more 8th grade math questions are coming–GIVING AWAY 600 POINTS

Mathematics
2 answers:
Anestetic [448]1 year ago
6 0

Hello,

We have : (a + b)² = a² + 2ab + b²

4x² + 20x + 25 = (2x)² + 2 × 2x × 5 + 5² = (2x + 5)² → answer B

Here, we have a = 2x and b = 5 !

AlladinOne [14]1 year ago
6 0

Answer:

\textsf{b.} \quad (2x+5)^2

Step-by-step explanation:

<u>Given quadratic equation</u>:

4x^2+20x+25

To factor a quadratic in the form ax^2+bx+c, find two numbers that multiply to ac and sum to b.

\implies ac=4 \times 25=100

\implies b=20

Factors of 100 that sum to 20:   10 and 10

Rewrite b as the sum of these two numbers:

\implies 4x^2+10x+10x+25

Factorize the first two terms and the last two terms separately:

\implies 2x(2x+5)+5(2x+5)

Factor out the common term (2x + 5):

\implies (2x+5)(2x+5)

Simplify:

\implies (2x+5)^2

Learn more about quadratic equations here:

brainly.com/question/27997764

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Given that a company budgeted 5 1/4 hours to complete a project, determine how much time they spent on research if they spent 1/3 of the total budget.

First, convert the budget from hours into minutes.

5 1/4 hours = 315 minutes

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1/4 hour = 15 min

60 x 5 = 300

300 + 15 = 315

Then, divide the minutes by 3 or multiply it by 1/3.

315 / 3 = 105

315 x 1/3 = 105

Lastly convert to a mixed number.

1 3/4 hour

Thus, the company plans to spend 1 3/4 hours or 1 hour and 45 minutes on research.

7 0
2 years ago
Put the steps in correct order to prove that if x is irrational, then 1/x is irrational using contraposition.
SOVA2 [1]

Answer:

The correct order is:

a

c

d

b

Step-by-step explanation:

First, let's write 1/x in a convenient way for us:

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Now we assume that 1/x is rational (we want to prove that this implies that x will be also rational and because we know that x is irrational assuming that 1/x is rational will lead to an incongruence), then:

c. If 1/x is rational, then 1/x = p/q for some integers p and q with q ≠ 0. Observe that p is not 0 either, because 1/x is not 0.

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2 years ago
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