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3 years ago

Which ordered pairs are solutions for 4x + 2y = 14? Choose all that apply. A) (-1,9) J) (4,0) C) (1,5) D) (3, 19) E (0,2)

Mathematics

1 answer:

Svetllana [295]3 years ago

8 0

Answer:

A, c apply to 4x+2y=14

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A person standing at the edge of a cliff throws a rock upward from a height of 180ft above ground level with an initial velocity

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Answer: 8.73 ft/s

Step-by-step explanation:

We have the following equation that models the motion of the rock:

$h(t)=-16t^{2}+64t+180$

Where $h(t)$ is the height of the rock at a time $t$ .

Now, if $h(t)=48 ft$ we can find $t$ and then the velocity of the rock at that height:

$48=-16t^{2}+64t+180$

Rearranging the equation:

$-16t^{2}+64t+132=0$

Multiplying the equation by -1:

$16t^{2}-64t-132=0$

Solving with the quadratic formula $t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$ , where $a=16$ , $b=-64$ , $c=-132$ .

$t=\frac{-(-64)\pm\sqrt{(-64)^{2}-4(16)(-132)}}{2(16)}$

Choosing the positive result of the equation:

$t=5.5 s$

Since velocity $V$ is defined as the traveled distance $h(t)$ in a given time $t$ , we have:

$V=\frac{h(t)}{t}$

$V=\frac{48 ft}{5.5 s}$

$V=8.727 ft/s \approx 8.73 ft/s$ This is the velocity of the rock at the height of 48 feet

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Which is bigger 6 pints or 60 fluid ounces

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6 pints is bigger than 60 fluid ounces
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Chocolate chip 22%

Step-by-step explanation:

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Ms. Wolf’s first job was at a frozen yogurt shop where she made $9 per hour. After a raise, Ms. Wolf earned $9.75 per hour. What

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3 years ago

Which ordered pairs are solutions for 4x + 2y = 14? Choose all that apply. A) (-1,9) J) (4,0) C) (1,5) D) (3, 19) E (0,2)​

Which ordered pairs are solutions for 4x + 2y = 14? Choose all that apply. A) (-1,9) J) (4,0) C) (1,5) D) (3, 19) E (0,2)