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kenny6666 [7]
3 years ago
5

What's the range of the function shown below ? Thanks

Mathematics
1 answer:
Artemon [7]3 years ago
5 0
Y>0 because raising a number to a negative power doesn't make it negative
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Factor 4x 2 + 12x + 5 . (2x + 5)(2x + 1)
Juliette [100K]
Factor
in form
ax²+bx+c form
use the ac method
1. mulitply a and c
2. factor the result such that the 2 factors add to b
3. split b into those 2 factors
4. group the terms
5. undistribute common factors
6. undistribute again





first multiply ac
4 times 5=20
now
what 2 numbers multiply to 20 and add to 12
2 and 10
4x²+2x+10x+5
group
(4x²+2x)+(10x+5)
undistribute
2x(2x+1)+5(2x+1)
undistribute the (2x+1)
(2x+1)(2x+5) is factored form whih you have there, nice
8 0
3 years ago
Nth term of -7, -12, -17, -22
frosja888 [35]

Answer:

-27,-32,-37,-42,-47

Step-by-step explanation:

5 0
3 years ago
Is P 90 degrees from the origin, Q 180 degrees from the origin, and R 270 degrees from the origin?
krek1111 [17]

Answer:

Step-by-step explanation:

(x,y)→(-x,-y) (180° about the origin)

1.p(-3,2) ,in the second quadrant

P(-2,-3) is in 4th quadrant.

in the clockwise it is rotation of 270° about the origin.

2.

Q(-4,-5) is in 4th quadrant.

Q(4,5) is in 1st quadrant.

so it is 180° rotation in the clockwise direction.

3.

R(1,7) is in 1st quadrant.

R(7,-1) is in 4th quadrant.

Hence it is 90° rotation about the origin in clockwise direction.

4 0
3 years ago
Margie threw a ball upwards while standing on a platform 65ft above the ground. The trajectory follows the​ equation:h(t)=-1.5t^
EastWind [94]

Answer:

  • 14 seconds

Step-by-step explanation:

Given equation is representing the graph of parabola which opens down and its pick is its vertex

<u>The vertex is calculated by vertex formula:</u>

  • x = -b/2a for the equation y = ax² + bx + c

<u>In our case t is the vertex and its value is:</u>

  • t = -42/(-1.5*2) = 42/3 = 14 seconds

7 0
3 years ago
Find the arc length of the partial circle.
nalin [4]

Answer:

1/2 pi

Step-by-step explanation:

This is 1/4 of a circle

Find the  circumference and multiply by 1/4

1/4 C

1/4 ( 2*pi*r)  where r is the radius

The radius is 1

1/2 pi*1

1/2 pi

7 0
3 years ago
Read 2 more answers
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