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ziro4ka [17]
3 years ago
7

System AAA \text{\quad}start text, end text System BBB

Mathematics
2 answers:
babymother [125]3 years ago
5 0

Answer:

B for 1 and A for 2

Step-by-step explanation:

lisabon 2012 [21]3 years ago
4 0

Answer:

replace one question with itself where the same quantity is added to both sides and yes

Step-by-step explanation:

The other answer is wrong :)

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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
Which is a valid proportion A.) 3/4=21/28 B.) 5/6=29/30 C.) 4/7=16/49 D.) 2/5=12/15​
Neporo4naja [7]
The correct answer would be A) 3/4=21/28

Explanation: 3 x 7=21; 4 x 7=28. None of the other answer choices demonstrate a proportion. Hope this helps:)

5 0
3 years ago
Read 2 more answers
in class of 40 students report that english is their favorite class 40 percent of the students report that keyboard is there fav
olasank [31]
If 40% of students prefer keyboarding, 40/100*40=16 students like it best. If the remaining students prefer English, then 40-16=24 students like English best. Since 24 is more than 16, most students prefer English.
4 0
3 years ago
A(n) ________ is both equilateral and equiangular?
bekas [8.4K]
I believe it was a rectangle I'm not sure test it out.
8 0
3 years ago
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Which phrase best describes the graph of a proportional relationship? A.a straight line passing through the origin B.a straight
Phantasy [73]
Based upon the answer choices, the answer is A;

A Straight line passing through the origin.

I hope this answer has assisted you.


3 0
3 years ago
Read 2 more answers
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