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Sphinxa [80]
2 years ago
5

Identify whether the following equation has a unique solution, no solution, or infinitely many solutions.

Mathematics
1 answer:
KengaRu [80]2 years ago
4 0

Answer:

Step-by-step explanation:

i can help

Step 1

4( − 11) = 15 − 4  Solving

Step 2

4( − 11) = 15 − 4  Simplify

15-4

-44=11

Answer

Unique solution

Hope this helps

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The function h(t) = -16t^2 + 16t represents the height (in feet) of a horse (t) seconds after it jumps during a steeplechase.
Vladimir79 [104]
A.) To find the maximum height, we can take the derivative of h(t). This will give us the rate at which the horse jumps (velocity) at time t.

h'(t) = -32t + 16

When the horse reaches its maximum height, its position on h(t) will be at the top of the parabola. The slope at this point will be zero because the line tangent to the peak of a parabola is a horizontal line. By setting h'(t) equal to 0, we can find the critical numbers which will be the maximum and minimum t values.

-32t + 16 = 0

-32t = -16

t = 0.5 seconds

b.) To find out if the horse can clear a fence that is 3.5 feet tall, we can plug 0.5 in for t in h(t) and solve for the maximum height.

h(0.5) = -16(0.5)^2 + 16(-0.5) = 4 feet

If 4 is the maximum height the horse can jump, then yes, it can clear a 3.5 foot tall fence.

c.) We know that the horse is in the air whenever h(t) is greater than 0. 

-16t^2 + 16t = 0

-16t(t-1)=0

t = 0 and 1

So if the horse is on the ground at t = 0 and t = 1, then we know it was in the air for 1 second.
7 0
3 years ago
8. The month of July has 31 days. What is the greatest
IgorLugansk [536]

Answer:

We know that one Saturday comes in a week there are 7 days in a week and there are 4 weeks in a month so in 7×4=28 days four Saturdays will come ,

But since July has 31 days so there is a possibility of 5 Saturdays as in the rest 2 days one can be Saturday. so theres a possibility of 5 Saturdays

3 0
2 years ago
The difference of eighteen and a number is 3
Firdavs [7]

Answer:

15

Step-by-step explanation:

18-x=3

18-3=x

18-3=15

5 0
3 years ago
Please help me on number 4
Mariulka [41]
Angle 5 = 117° because it is vertical to angle 8
Angle 7 = 63° because it is symmetrical to angle 5
Angle 6 = 63° because it is vertical to angle 7.
Angle 1 = 117° because it is corresponding to angle 5.
Angle 2 = 63° because it is corresponding to angle 6.
Angle 3= 117° because it is corresponding to angle 8.
Angle 4 = 63° because it is corresponding to angle 7.
3 0
3 years ago
A box contains 3 plain pencils and 1 pen. A second box contains 4 color pencils and 4 crayons. One item from each box is chosen
9966 [12]
Well, the chances are 3 to 1 in the first question, because there are three pencils and only one pen. In the second box it is a 50-50 chance that you will pick a crayon, because there are equal amounts of colored pencils and crayons in the second box. The numbers that I gave you aren't the fractions though. See if you can go from here.
4 0
3 years ago
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