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mr_godi [17]
2 years ago
5

I will mark brainliest if you give correct answer on time

Mathematics
2 answers:
Gnoma [55]2 years ago
7 0

Step-by-step explanation:

3a²-7a−6

Factor the expression by grouping. First, the expression needs to be rewritten as 3a

2

+pa+qa−6. To find p and q, set up a system to be solved.

p+q=−7

pq=3(−6)=−18

Since pq is negative, p and q have the opposite signs. Since p+q is negative, the negative number has greater absolute value than the positive. List all such integer pairs that give product −18.

1,−18

2,−9

3,−6

Calculate the sum for each pair.

1−18=−17

2−9=−7

3−6=−3

The solution is the pair that gives sum −7.

p=−9

q=2

Rewrite 3a

2−7a−6 as (3a

2−9a)+(2a−6).

(3a 2−9a)+(2a−6)

Factor out 3a in the first and 2 in the second group.

3a(a−3)+2(a−3)

Factor out common term a−3 by using distributive property.

(a−3)(3a+2)

Tresset [83]2 years ago
5 0

Answer:

\purple{ \boxed{ \bold{ { \bigg(9a -  \frac{21}{2}  \bigg)}^{2}  -    \bigg(\frac{33}{2} \bigg)^{2}    }}}

Step-by-step explanation:

3a^2- 7a- 6 \\  \\  \implies \: take \: 3 \: as \: common \\   = 3 \bigg \{ {a}^{2}  -  \frac{7}{3} a - 2 \bigg \} \\  \\  = 3 \bigg \{{a}^{2}  -  2 \times \frac{7}{6} a + \bigg(  \frac{7}{6} \bigg)^{2} -  \bigg(  \frac{7}{6} \bigg)^{2} - 2 \bigg \}   \\  \\ = 3 \bigg \{ { \bigg(a -  \frac{7}{6}  \bigg)}^{2}  -   \frac{49}{36}  - 2 \bigg \}   \\  \\ = 3 \bigg \{ { \bigg(a -  \frac{7}{6}  \bigg)}^{2}  -    \bigg(\frac{49 + 72}{36} \bigg)   \bigg \}  \\  \\ = 3 \bigg \{ { \bigg(a -  \frac{7}{6}  \bigg)}^{2}  -    \bigg(\frac{121}{36} \bigg)   \bigg \}  \\  \\ = 3 \bigg \{ { \bigg(a -  \frac{7}{6}  \bigg)}^{2}  -    \bigg(\frac{11}{6} \bigg)^{2}    \bigg \}  \\  \\ = { \boxed{ \bold{3 { \bigg(a -  \frac{7}{6}  \bigg)}^{2}  -    3\bigg(\frac{11}{6} \bigg)^{2}    }}} \\  \\ = { \boxed{ \bold{ { \bigg(9a -  \frac{9\times 7}{6}  \bigg)}^{2}  -    \bigg(\frac{9\times 11}{6} \bigg)^{2}    }}}\\  \\ = \purple{ \boxed{ \bold{ { \bigg(9a -  \frac{21}{2}  \bigg)}^{2}  -    \bigg(\frac{33}{2} \bigg)^{2}    }}}

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Hernando ate StartFraction 2 Over 8 EndFraction of a pizza for a dinner. He gave his 6 friends the rest of the pizza and told th
ozzi

Answer:

Yes, they are correct. Hernando divided 6 by 6.

Step-by-step explanation:

Given that:

Hernando ate 2/8 of a pizza for dinner.

Let the pizza be x. Then:

Hernando ate \dfrac{2}{8} \ \ o f  \ \ x

Then he gave the rest of the pizza to his friends

Hernando now carried out the  following calculations to support his activities;

\dfrac{6}{8} \div 6= \dfrac{6 \div 6}{8}= \dfrac{1}{8}

\dfrac{6}{8} \times \dfrac{1}{6}= \dfrac{6 \div 6}{8}= \dfrac{1}{8}

From the above calculation; we will see that Hernando divided 6 by 6 in both cases to get \dfrac{1}{8}.

Thus, the correct answer is:

Yes, they are correct. Hernando divided 6 by 6.

3 0
2 years ago
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How do you do inverse operation on a fraction ( y/3 ) = -6
NemiM [27]

\frac{-1}{18}

Solution:

Given expression is \frac{y}{3}=-6

To find the inverse of y.

⇒ \frac{y}{3}=-6

Do cross multiplication.

⇒ y = –6 × 3

⇒ y = –18

Inverse of y means reverse the function.

We know that inverse of y is \frac{1}{y}.

⇒ \frac{1}{y}= \frac{-1}{18}

Hence, inverse of y is \frac{-1}{18}.

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3 years ago
MARKING BRAINLIST! PLEASE HELP!
Leviafan [203]

Answer:

\boxed {\boxed {\sf C. \ 4 \ inches}}

Step-by-step explanation:

Circumference is the perimeter of a circle. It can be found using the formula:

c= \pi d

However, we are given the radius.

  • The radius measures from the center to the edge of the circle.
  • The diameter measures from edge to edge through the center.
  • So, the diameter is twice the radius, or d=2r

The formula can be rewritten as:

c= \pi 2 r

We know the circumference is 25.12 inches.

25.12 \ in = \pi 2r

Let's round pi to 3.14

25.12 \ in = (3.14) 2r

We want to solve for the radius, so we must isolate it.

Divide both sides by 3.14 because the inverse of multiplication is division.

25.12 \ in / 3.14= (3.14 ) 2r  / 3.14

8 \ in = 2r

Divide both sides by 2.

8 \ in / 2 = 2r/2

4 \ in = r

The radius of the disc is <u>4 inches.</u>

6 0
3 years ago
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Anna71 [15]

The two lines with arrows are parallel, which means angles A and B are supplementary.

So we have

A + B = 180º

(6<em>x</em> - 35)º + (3<em>x</em> + 53)º = 180º

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(9<em>x</em>)º = 162º

<em>x</em> = 18

This means angle A has measure

A = (6<em>x</em> - 35)º = 73º

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melisa1 [442]

Answer:

For 17 it's 5: 7.5 i hope it helps?

Step-by-step explanation:

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3 years ago
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