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Monica [59]
3 years ago
12

The function g(x)=-5x-6

Mathematics
1 answer:
BaLLatris [955]3 years ago
4 0

Answer:

D. the slope of f(x) is greater than the slope of g(x)

Step-by-step explanation:

slope of f(x) =rise/run

=y2 -y1 / x2 -x1

slope of f(x)= -1-2/1-0= -3

g(x)= -5x-6

slope of g(x)= -5

-3>-5

D. the slope og f(x) is greater than the slope of g(x)

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The height, h, in feet of a rock above the ground is given by the equation h = -16t^2 + 24t + 16, where t is the time in seconds
boyakko [2]

The rock will hit the ground at 2 seconds.

Explanation:

Given that the height, h, in feet of a rock above the ground is given by the equation h=-16t^2+24t+16, where t is the time in seconds after the rock is thrown.

We need to determine the time at which the rock will hit the ground.

To determine the time, let us equate the height h = 0 in the equation h=-16t^2+24t+16, we get,

0=-16t^2+24t+16

Switch sides, we have,

-16 t^{2}+24 t+16=0

Let us solve the equation using the quadratic formula.

Thus, we have,

t=\frac{-24 \pm \sqrt{24^{2}-4(-16) 16}}{2(-16)}

Simplifying, we get,

t=\frac{-24 \pm \sqrt{576+1024}}{-32}

t=\frac{-24 \pm \sqrt{1600}}{-32}

t=\frac{-24 \pm 40}{-32}

Hence, the two values of t are

t=\frac{-24 + 40}{-32}   and   t=\frac{-24 -40}{-32}

Simplifying the values, we get,

t=\frac{16}{-32}  and  t=\frac{-64}{-32}

Dividing, we get,

t=-\frac{1}{2}  and  t=2

Since, t cannot negative values, we have,

t=2

Thus, the rock will hit the ground at 2 seconds.

8 0
3 years ago
Find the solution for the system of equations y=4x+12<br> Y=6x+8
madam [21]
-12=4x-y
(-8=6x-y)-1

-12=4x-y
8=-6x+y

-4=-2x
/-2 /-2
2=x

Y=6(2)+8
Y=20

(2,20)
5 0
3 years ago
Consider parallelogram VWXY below.
nirvana33 [79]

Answer:

  • 56°, 84°, 3 units

Step-by-step explanation:

<u>Properties of a parallelogram</u>

  • Two adjacent angles are supplementary
  • Opposite angles are congruent
  • Opposite sides are parallel and congruent

Use the properties to find the required parameters

1) <u>Find m∠YXV</u>

  • m∠YXV + m∠VXW + m∠VWX = 180°
  • m∠YXV + 40° + 84° = 180°
  • m∠YXV = 180° - 124°
  • m∠YXV = 56°

2) <u>Find m∠Y</u>

  • m∠Y = m∠W = 84°

3) <u>Find x</u>

  • 2x = 6
  • x = 6/2
  • x = 3
4 0
2 years ago
Read 2 more answers
PLEASE! 10 POINTS! For what number A does the equation 3Ax - 24 = 5x - 9 + x have no solutions for x?
Gala2k [10]

Answer:

3Ax-6x = 15

3x(A-2)=15

If A were 2, the left side of the equation would be 0 and it wouldn't equal 15 no matter what the value of x is. So A is 2

6 0
2 years ago
What is the degree of 12x^4-8x+4x^2-3
lord [1]
Dat is 4th degree because x is raised to the 4th power and that is the highest power of the placholder

4th degree
6 0
3 years ago
Read 2 more answers
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