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german
2 years ago
5

Which number sentence is represented by this model?

Mathematics
1 answer:
Makovka662 [10]2 years ago
3 0

Answer:

Correct answer is B. -3 • 5 = - 15

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Solve the equation by factoring. 8x^2+10x-7=0<br><br> What is the solution set?
nydimaria [60]

Answer:

\large \text{$x_1$}=-\dfrac{7}{4}, \large \text{$x_2$}=\dfrac{1}{2}

Step-by-step explanation:

Given: 8x² + 10x - 7 = 0

<u>When factoring trinomials of the form ax² + bx + c</u>:

  • multiply the leading coefficient and the last term.
  • find the product factors that add to give you the coefficient of the middle term.
  • rewrite the polynomial with those factors replacing the middle term.

1. Split the middle term:

⇒ 8 × -7 = -56 [multiply the leading coefficient and the last term]

⇒ 14, -4 [find the product factors that add to the middle term's coefficient]

⇒ 8x² + 14x - 4x - 7 = 0 [rewrite with those factors replacing the middle term.]

2. Factor by grouping:

⇒ 8x² + 14x - 4x - 7 = 0 [factor out 2x]

⇒ 2x(4x + 7) - 4x - 7 = 0 [factor out -1 or the negative sign]

⇒ 2x(4x + 7) -1(4x + 7) = 0 [factor out 4x + 7]

⟹ (4x + 7)(2x - 1) = 0

3. Separate into 2 cases:

  1. 4x + 7 = 0
  2. 2x - 1 = 0

 

<u><em>Case 1:</em></u>

⇒ 4x + 7 = 0 [subtract 7 from both sides]

⇒ 4x + 7 - 7 = 0 - 7

⇒ 4x = -7 [divide both sides by 4]

⇒ 4x ÷ 4 = -7 ÷ 4

⟹ x = \bold{-\dfrac{7}{4}}

<u><em>Case 2:</em></u>

⇒ 2x - 1 = 0 [subtract 1 from both sides]

⇒ 2x - 1 + 1 = 0 + 1

⇒ 2x = 1 [divide both sides by 2]

⇒ 2x ÷ 2 = 1 ÷ 2

⟹ x = \bold{\dfrac{1}{2}}

Solutions:

\large \text{$x_1$}=-\dfrac{7}{4}, \large \text{$x_2$}=\dfrac{1}{2}

Learn more about quadratic equations here:

brainly.com/question/27750885

brainly.com/question/27739892

brainly.com/question/27638369

7 0
2 years ago
Read 2 more answers
On a hike, Parker noticed that the temperature at the base of a mountain was 69°F. At a point on the mountain that was 2,000 fee
Darina [25.2K]

Answer:

-0.003 %Fahrenheit

Step-by-step explanation:

5 0
3 years ago
PLS HELP ASAP!!!!!! BRAINLIEST GETS 20 POINTS
tester [92]

hm//jhfjvxxdfcgjhkjlkl.jjkmmbvdxfoknkbkbkbhb

4 0
2 years ago
Han spent 75 minutes practicing the piano over the weekend. For each question, explain or show your reasoning. A. Priya practice
irakobra [83]

Answer:

a. 114 minutes

b. 48 minutes

Step-by-step explanation:

Given that

Time spent over the piano is 75 minutes

a. if Priya practice violin for 152% as Han Practiced for piano

So the minutes she practice in Violin is

= 75 minutes × 152%

= 114 minutes

Likewise

b. If Tyler practiced for clarinet for 64% as Han Practiced for piano

So the minutes he practice in Clarinet is

= 75 minutes × 64%

= 48 minutes

The same is to be considered

4 0
2 years ago
Please answer, will mark brinliest
Anastaziya [24]

Step-by-step explanation:

Total sections= 8

Yellow sections=2

So,

2/8

In second black write

1/4 ( by reducing 2/8)

hope it helps

5 0
2 years ago
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