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omeli [17]
3 years ago
15

What is an inequality that contains at least one variable

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

The\: Answer\: You\: Are\: Looking\: for\: is:

1

(1,4]

4-2x\geq 3x+19

\frac{5}{4} x-2\leq \frac{3}{2} x+\frac{1}{3}

5-3|4x+1|\geq -9

\mathrm{Hope\:This\:Helps!!!}

\mathrm{-Austint1414}

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A plane is flying at an altitude of 17,000 feet. The angle of depression from the plane to the airport on the ground is 21°. Wha
viva [34]

Answer:

47,433.0 feet

Step-by-step explanation:

Using the SOH CAH TOA identity

Height of the plane = opposite = 17000feet

distance between the plane and the airport = hypotenuse = x

Angle of depression = 21 degrees

Since Sin theta = opp/hyp

Sin 21 = 17000/x

x = 17000/sin21

x = 17000/0.3584

x = 47,433.0

Hence the distance between the plane and the airport to the nearest 10th of a foot is 47,433.0 feet

6 0
3 years ago
Suppose `h\left(t\right)=-5t^{2}+10t+3`is an expression giving the height of a diver above the water (in meters), t seconds afte
prisoha [69]

Answer:

Step-by-step explanation:

a) The height of the springboard above the water should be h(0) : Read, the height at t = 0

h(0) = -5(0) + 10(0) + 3

h(0) = 0 + 0 + 3

h(0) = 3

a) 3 meters

b)  The time it takes the diver to hit water should be, the positive 0 solution for t.  Remember, in a quadratic equation,  there are two values for t where a parabola crosses the horizontal axis, which in this case would be t.  Just by looking at the function, h(t) = -5t2 + 10t + 3 , one should be able to see that it cannot be factored easily, so it requires the Quadratic Formula to find the zeros ; x = -b ±√(b2-4ac)  / 2a

Substitute t for x, and use the coefficients for a, b, c:

t  =  (-10 ± √((102 - 4(-5)(3)))/2(-5)

t = (-10 ±√(100 + 60))/-10

t = (-10 ±√160)/-10) ; Now factor the 160 to simplify:

t = (-10 ±√(10*16))/-10

t = (-10 ±4√10)/-10 ; Factor out leading coefficient of -2 from the numerator:

t = -2(5 ± 2√10)/-10

t = (5 ± 2√10)/5

Using a calculator to find the zeros, and disregarding the negative zero (because t starts at 0):

t ≈ 2.265

b) approx. 2.265 seconds for diver to hit water.

c) To find this, set the function equal to 3 to find what other value for t would be equal to 3 (we know one is 0).

-5tt + 10t + 3 = 3

-5t2 + 10t = 0 ; factor out t

t(-5t + 10) = 0

We know t = 0:

We also know that -5t + 10 = 0

-5t = -10

t = 2

c) 2 seconds. This is the time that diver would equal height of t=0 which is where he started, and where he equals the height of the springboard.

d and e) The peak of the dive (parabola), is determined using the formula h = -b/2a (Derived from the Quadratic Formula) to find the y value (in this case, the h value, answering e) and then using that result in the function to find the x value (in this case, the t value answering d) of the point where the parabola (dive path) reaches a maximum(height), or minimum(in upward opening parabolas).

h = -10/2(-5)

h = -10/-10

h = 1

h(1) = -5(1)2 + 10(1) + 3

h(1) = -5 + 10 + 3

h(1) = 8

d) At t = 1 second, diver will have reached peak of dive.

e) At t = 1 second, diver will have reached a maximum height of 8 meters.

5 0
2 years ago
I will give the BRAINIEST!!!<br><br>Which of these statements best describes the relation shown? ​
ludmilkaskok [199]

Answer:

i believe the answer is C

Step-by-step explanation:

i dont know its just what i would choose im not the smartests in math

3 0
3 years ago
Use linear regression to find the equation of the line that best fits the data. Predict the average retail price of a car that i
Dafna11 [192]

Answer:

never

Step-by-step explanation:

if it still works then it is not worthless if its super old then it can be a collectors item

5 0
3 years ago
What is f(5) for the function f(x)=2x+7
denis-greek [22]

Answer:

Solution:

f(5)=2×5+7

=10+7

=17

8 0
3 years ago
Read 2 more answers
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