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2 years ago

What percent of 80 is 20

Mathematics

1 answer:

Olenka [21]2 years ago

7 0

25% is the answer
Hope this helps and

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If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c

dolphi86 [110]

Given:

$(ax+2)(bx+7)=15x^2+cx+14$

And

$a+b=8$

Required:

To find the two possible values of c.

Explanation:

Consider

$\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}$

$\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}$

And also given

$a+b=8---(2)$

Now from (1) and (2), we get

$\begin{gathered} a+\frac{15}{a}=8 \\ \\ a^2+15=8a \\ \\ a^2-8a+15=0 \end{gathered}$ $a=3,5$

Now put a in (1) we get

$\begin{gathered} (3)b=15 \\ b=\frac{15}{3} \\ b=5 \\ OR \\ b=\frac{15}{5} \\ b=3 \end{gathered}$

We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

$\begin{gathered} c=7(3)+2(5) \\ =21+10 \\ =31 \end{gathered}$

When a=5 and b=3, we have

$\begin{gathered} c=7(5)+2(3) \\ =35+6 \\ =41 \end{gathered}$

Final Answer:

The option D is correct.

31 and 41

8 0

1 year ago

Hi, umm pls help 1/6(x-5)=1/2(x+6), solve for x And can you please explain

Mumz [18]

Answer:

By solving the equation $\frac{1}{6}(x-5)=\frac{1}{2}(x+6)$ we found that $x=\frac{23}{2} \text { or }=11 \frac{1}{2}$

Explanation:

Given equation,

$\frac{1}{6}(x-5)=\frac{1}{2}(x+6)$ to find x

Step: 1 Cross multiply the denominators 2(x-5)=6(x+6)

Step: 2 Open brackets and simplify the term 2x-10=6x+36

Step: 3 Bring x terms on one side and simplify the equation the equation obtained is following,

2x-6x=36+10

-4x=46

$-x=\frac{46}{4}=\frac{23}{2}=11 \frac{1}{2}$

Therefore, we solved x value from the given equation $\frac{1}{6}(x-5)=\frac{1}{2}(x+6)$ as $x=\frac{23}{2} \text { or }=11 \frac{1}{2}$ .

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What is the answer to : 29a + 11b - a

shtirl [24]

Answer: wow this is hard so i don't know this

Step-by-step explanation:

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2 years ago

A sinusoid with amplitude 7 has a maximum value of 23. What is its minimum value?

saveliy_v [14]

Answer:

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Step-by-step explanation:

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3 years ago