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3 years ago

Need help will give brainist

Mathematics

2 answers:

cluponka [151]3 years ago

4 0

Answer:

11. x=15 , 12. x=-16, 13 x is greater than or equal to 15 , 14 x=-3 , 15 x=-3, 16 x=15/2 , 17 x is greater than is equal to -4, 18: x is greater than -11

Step-by-step explanation:

11. 4x+15=75

subtract 15

4x=60

divide

x=15

12. 2x = -32 (subtract 13 from each side)

divide

x=-16

13. multiply each side by

-3/2

x is greater than or equal to 15

14. -3x -18 + 5 = -4

isolate x

-3x=9

x=-3

15. -5x-30 +5=-10

isolate x

-5x = 15

x= -3

16. 2x + 16 = 6x - 14

isolate x

4x = 30

x= 15/2

17 isolate x

x is greater than is equal to -4

18. isolate x

x is greater than -11

Rom4ik [11]3 years ago

3 0

Hope it will help u.....

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2 years ago

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

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

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

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

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The option D is correct.

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3 years ago

Need help will give brainist​

Need help will give brainist