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mote1985 [20]
3 years ago
13

B. x + 5y = 8-x + 2y = -1​

Mathematics
1 answer:
igomit [66]3 years ago
8 0

Answer:

(3, 1)

Step-by-step explanation:

x+5y=8

-x+2y=-1

-------------

7y=7

y=7/7=1

x+5(1)=8

x+5=8

x=8-5=3

Answer: x=3, y=1.

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A football is kicked toward an end zone with an initial vertical velocity of 30 ft/s. The function h(t) = -16+ 30t models the he
Ulleksa [173]

Answer:

A. The football does not reach a height of 15ft

Step-by-step explanation:

Given

h(t) = -16t^2 + 30t

Required

Determine which of the options is true

The option illustrates the height reached by the ball.

To solve this, we make use of maximum of a function

For a function f(x)

Such that:

f(x) = ax^2 + bx + c:

f(\frac{-b}{2a}) = maximum/minimum

i.e we first solve for \frac{-b}{2a}

Then substitute \frac{-b}{2a} for x in f(x) = ax^2 + bx + c

In our case:

First we need to solve \frac{-b}{2a}

Then substitute \frac{-b}{2a} for t in h(t) = -16t^2 + 30t

By comparison:

b = 30

c = -16

\frac{-b}{2a} = \frac{-30}{2 * -16}

\frac{-b}{2a} = \frac{-30}{-32}

\frac{-b}{2a} = \frac{30}{32}

\frac{-b}{2a} = \frac{15}{16}

Substitute \frac{15}{16} for t in h(t) = -16t^2 + 30t

h(\frac{15}{16}) = -16(\frac{15}{16})^2 + 30(\frac{15}{16})

h(\frac{15}{16}) = -16(\frac{225}{256}) + \frac{450}{16}

h(\frac{15}{16}) = -(\frac{225}{16}) + \frac{450}{16}

h(\frac{15}{16}) = \frac{-225 + 450}{16}

h(\frac{15}{16}) = \frac{225}{16}

h(\frac{15}{16}) = 14.0625

This implies that the maximum height reached is 14.0625ft.

So, the option that answers the question is A because 14.0625 < 15

8 0
3 years ago
Sketch the vectors u and w with angle θ between them and sketch the resultant.
Rama09 [41]

Given:

Two vectors (u) and (w) and the angle between them θ

\begin{gathered} |u|=50 \\ |w|=12 \\ \theta=35\degree \end{gathered}

the sketch of the vectors will be as shown in the following figure:

As shown, the resultant vector is the blue line segment

The vector R has a magnitude = 60.22

And the angle between u and R = 5.56°

8 0
1 year ago
64 - 9p for p=4,9,-3
V125BC [204]

64-9(4)

64-36=28

64-9(9)

64-81=-17

64-9(-3)

64+27=91

3 0
3 years ago
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the work in an office take 150 hours to complete every week each person in the office works for 32 hours a week what is the smal
Lynna [10]

Answer:

5 people

Step-by-step explanation:

4 0
3 years ago
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What value of a satisfies the following equation?<br><br> -2(a + 3) = -4a + 32
Yanka [14]

Answer:

a = 19

Step-by-step explanation:

-2(a + 3) = -4a + 32

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<u> +2a        +2a       </u>

-6 = -2a + 32

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-38 = -2a

divide by -2

<u><em>a = 19</em></u>

5 0
3 years ago
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