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Artist 52 [7]
3 years ago
13

Let f(x) = 3x + 5 and g(x) = x2.

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
4 0

Answer:

f(x^2)=3x^2+5

Step-by-step explanation:

math

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Can someone solve this for me?
Helga [31]

well, we know it's a rectangle, so that means the sides JK = IL and JI = KL, so

\stackrel{JK}{3x+21}~~ = ~~\stackrel{IL}{6y}\implies 3(x+7)=6y\implies x+7=\cfrac{6y}{3} \\\\\\ x+7=2y\implies \boxed{x=2y-7} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{JI}{6y-6}~~ = ~~\stackrel{KL}{2x+20}\implies 6(y-1)=2(x+10)\implies \cfrac{6(y-1)}{2}=x+10 \\\\\\ 3(y-1)=x+10\implies 3y-3=x+10\implies \stackrel{\textit{substituting from the 1st equation}}{3y-3=(2y-7)+10} \\\\\\ 3y-3=2y+3\implies y-3=3\implies \blacksquare~~ y=6 ~~\blacksquare ~\hfill \blacksquare~~ \stackrel{2(6)~~ - ~~7}{x=5} ~~\blacksquare

5 0
2 years ago
Find allgebraiclly the equation of the axis of symmetry and the vertex of the parabola represented by the equation y=-x2-2x+1
Slav-nsk [51]
To find the vertex use -b/2a (for the x value which is also the axis of symmetry)
So 2/-2 = -1 Therefore the axis of symmetry is x=-1 Plug in for the y value:
y= -(-1)^2 -2(-1) + 1 y=-1 + 2 + 1 y=2 Vertex (-1,2)
7 0
3 years ago
Read 2 more answers
need help asap! will offer 15 points and i’m really only typing more because i need 20 characters to ask this question.
Stella [2.4K]

Answer:

i'm pretty sure it is C..

Step-by-step explanation:

6 0
3 years ago
A boat travels 30 miles up the river in the same amount of time it takes to travel 38 miles down the same river. If the current
Ksenya-84 [330]
X miles per hour  -  <span> speed of the boat in still water
(x - 2)  -  speed up the river
(x + 2)  -  speed down the river
</span>
\frac{30}{x - 2} = \frac{38}{x + 2}
30 * (x + 2) = 38 * (x - 2)
30x + 60 = 38x - 76
- 8x = - 136
x = 17 miles per hour  -  <span>the speed of the boat in still water.</span>
5 0
3 years ago
Mrs. Habib has 46.25 feet of border for a bulletin board for her classroom. the board is 37.5 feet tall and 8.3 feet wide. how m
Luba_88 [7]

Answer:

Mrs. Habib will have 22.25 feet of border left after she puts border around the board.

Step-by-step explanation:

You must find the perimeter of the board and subtract it from the amount of border she has to find how much she will have left after she uses it. The formula for perimeter is P=2(l+w), where l= the length of the board, and w= the width of the board. You will add those together and multiply them by 2 because there are 4 sides to a rectangle. That means this equation will look like:

P=2(8.25+3.75)

Now you can just solve for the perimeter.

P=2(12)

P=24

The perimeter is 24 feet. That means it will take 24 feet of border to cover her board. In order to find out how much she'll have left over, just subtract 24 from the total amount of border she has.

46.25-24=22.25

Therefore Mrs. Habib will have 22.25 feet of border left over after she covers the bulletin board.

7 0
3 years ago
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