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Brrunno [24]
3 years ago
14

Factor using ac-method,  15y+6y²-21= ________

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
3 0
15y+6y^2-21=\\
6y^2+15y-21=\\
3(2y^2+5y-7)=\\
3(2y^2-2y+7y-7)=\\
3(2y(y-1)+7(y-1))=\\
3(2y+7)(y-1)

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Katherine paid $25.56 for12 gallons of gasoline. What is the price per gallon of gasoline? per gal
zloy xaker [14]

Answer:

$2.13

Step-by-step explanation:

If she paid $25.56 for a total number of 12 gallons, then you need to divide 25.56 by 12, and you will get 2.13. Meaning each gallon cost $2.13.

You can also check your answer by multiplying 2.13 by 12.

5 0
3 years ago
A skateboarder went a kilometer in 3 minutes with the wind, and returned in four minutes against the wind.
inn [45]

Step-by-step answer:

Answer to problems of this kind is the reciprocal of the harmonic mean of the time required.

We need to find the average of the speeds, not the average of the time.

The respective speeds are 1/3 and 1/4.

The average of the speeds is therefore (1/3+1/4)/2 = 7/24  (harmonic mean of the time taken).

The time required is therefore the reciprocal of the unit speed,

T = 1/(7/24) = 24/7 = 3 3/7 minutes, or approximately 3.43 minutes.

8 0
3 years ago
PLEEEASSSSEEEEE HELPPPP!!!! A rectangular prism has a length of 12 in., a width of 5 in., and a height of 4 1/4 in. The prism is
Aleonysh [2.5K]

Answer:

16320

solution: 12 / 1/4 = 3.

4 divided by 1/4 = 20

4 1/4 divided by 1/4 = 17.

3 x 20 x 17 =

the answer is 16320.

3 0
3 years ago
A man walks along a straight path at a speed of 4 ft/s. A searchlight is located on the ground 20 ft from the path and is kept f
krek1111 [17]

Answer:

0.128rad/sec

Step-by-step explanation:

Let x represent the between the man and the point on the path

θ = the angle

dx/dt = 4 ft/s

dθ/dt = rate is the searchlight rotating when the man is 15 ft from the point on the path closest to the searchlight

tan θ = x/20 ft

Cross Multiply

20tan θ = x

dx/dt = 20sec² θ dθ/dt

dθ/dt = 1/20 × cos² θ dx/dt

dθ/dt= 1/20 × cos² θ × 4

dθ/dt = 1/5 × cos² θ

Note : cos θ = 4/5

dθ/dt = 1/5 × (4/5)²

dθ/dt = 16/125

dθ/dt = 0.128rad/sec

6 0
3 years ago
What is 4 1/2 - 5 1/4?
alekssr [168]

Answer:

Step-by-step explanation:

well its 4.5-5.25= -0.75

7 0
3 years ago
Read 2 more answers
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