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max2010maxim [7]
3 years ago
6

Please help me !! ! !

Mathematics
1 answer:
Vesna [10]3 years ago
3 0
Option a. option a has an answer of x=13, while the other problems have solutions of x=5.
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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}

So

\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
Why is the grid in Example 1 a good way to<br> represent a percent?
Tems11 [23]

Answer:

percent means  <u>per hundred </u>

Between the 100 squares, 60 of them are shaded

so you do 60/100

it's kind of like correcting tests, you have 100 questions, you got 80 of them right so its going to be 80/100

when you calculate percentage, you do the fraction x 100

so it's 60/100 = 0.6 x100 = 60%

hope that answers your question

Don't hesitate to leave a comment if you are confused about something

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the equation of the line containing the point (3, 3) and parallel to the line
DIA [1.3K]

Answer:

y = 2x - 3

Step-by-step explanation:

Parallel lines have the same slope

only the constant changes

y = 2x + b

To find "b"

Plug in point (3, 3)

3 = 2(3) + b

3 = 6 + b

Subtract 6 from both sides

-3 = b

The equation for the parallel line is

y = 2x - 3

3 0
2 years ago
If<br>find the values of x and y.​
uysha [10]
5-2=3 so x is equal to 3
-3+10 is equal to 7 so y is equal to 10
With this we can conclude that x=3 and y=10
I hope that helps :)
8 0
2 years ago
Of the following numbers, which are divisible by 3?
borishaifa [10]

36; 351; 66; 1,017; 113,331; 1,968; 537; 417; 3,813

3 0
3 years ago
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