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rodikova [14]
3 years ago
15

3y+4y+6=20 solve variable. include steps, also check your answer!

Mathematics
1 answer:
stira [4]3 years ago
8 0

Answer:2

Step-by-step explanation:

3y+4y+6=20

7y+6=20

7y=20-6=14

Y=14/7=2

6+8+6=20

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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
Find the sum of the squared residuals for each potential line of fit, and then determine which potential line is the true line o
Paul [167]

Answer:

.163

Step-by-step explanation:

not sure what so ever that is a hard question

3 0
3 years ago
Can you please help me with this?
Crazy boy [7]

Answer:

A

Step-by-step explanation:

The volume of a prism can be found by multiplying the area of the base by the height. It is the formula V = B*h. Here B = 108. Substitute and solve.

V = 108*8 = 864

This is answer A.

7 0
3 years ago
If f(x)=6x^2 and g(x)=14x + 4 solve (g o f)(2)<br> Choices:<br> 340<br> 465<br> 336<br> 284
Law Incorporation [45]

The answer is 340

Explanation:

(g o f)(2) = g(f(2))

f(2) = 6(2)² = 24

g(f(2)) = g(24) = 14(24) + 4 = 336 + 4 = 340

8 0
3 years ago
Read 2 more answers
PLZZZZ answer correctly!! it's IMPORTANT!!
lara [203]

This is what I got and hopefully it helps.

1.A The dot is not filled and it points in the left direction

2.B The dot is filled and it points to the left

3.A The dot is not filled and it is pointed in the left direction

4.C The dot is filled and is pointing in the right direction.

Whenever you have a filled dot it will always be a greater than or equal to or less than or equal to. When the dot is not filled, the answer will always be greater than or less than.


4 0
3 years ago
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