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jarptica [38.1K]
3 years ago
15

F(x)=3x+5 and g(x)=x^2 find g(3x)

Mathematics
1 answer:
juin [17]3 years ago
5 0

Answer:

g(3x) = 9x²

Step-by-step explanation:

To evaluate g(3x) substitute x = 3x into g(x) , that is

g(3x) = (3x)² = 9x²

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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
A dog ran 10 miles home. It took him 50 minutes to get there. How fast was he running? (have your answer in miles per hour)
lord [1]

12 miles an hour
Hope that helps :)
4 0
3 years ago
Read 2 more answers
Mom has 1/2 cup of sprinkles to sprinkle on Brandon’s birthday cupcakes. She uses half of the sprinkles. How much does she use?
Nikitich [7]

Answer:

1/4 Cup

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Can someone help me the 2nd problem I don’t understand it
Galina-37 [17]

Answer:

So this means the bus B covered 390-120=270 miles when bus A has already reached 390 miles.

270 miles

Step-by-step explanation:

So is A is going faster than B so A will reach the destination first.

When will A reach it's destination?

Let's find out.

To solve this problem, the following will come in handy:

Speed=distance/time or time*Speed=distance or time=distance/speed .

time=distance/speed

T_A=\frac{390}{S_A}

T_A=\frac{390}{65}

T_A=6

So it will take bus A 6 hours to cover the distance of 390 miles.

How much time would have it taken bus B to reach that same distance?

T_B=\frac{390}{45}

T_B=8.\overline{6}

So it would have taken bus B 8.\overline{6} hours to cover a distance of 390 miles.

So the time difference is 8.\overline{6}-6=2.\overline{6} hours.

It will take 2.\overline{6} more hours than bus A for bus B to complete a distance of 390 miles.

So bus B traveled 2.\overline{6} \cdot 45=120 miles (used the time*speed=distance) after bus A got to it's destination.

So this means the bus B covered 390-120=270 miles when bus A has already reached 390 miles.

4 0
3 years ago
1/2 + 2/3 / 1/6 help brainliest who answers first
NISA [10]

Answer:

Two answers are possible

Step-by-step explanation:

Both are listed below

8 0
3 years ago
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