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OLEGan [10]
3 years ago
10

Need answers 1-8 equations and problems solving

Mathematics
1 answer:
djyliett [7]3 years ago
3 0

1) a. x = number of cars

b. x - 12

2) a. x = number of packages

b. 16 + 1/2x

3) a. x = number of coins

b. 1/2x - 6

4) 17 + x = 78

Subtract 17 from each side.

x = 61

5) x - 33 = 78

Add 33 to each side.

x = 111

6) x * 84 = 327.6

Divide each side by 84

x = 3.9

7) 1333/8.6 = 155

The speed was 155mph.

8) 2475/110 = 22.5

The trip took 22 and a half hours. (Or "The trip took 22.5 hours."

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Answer:

x < 0

Step-by-step explanation:

If you were to graph the function, you would get a parabola that opens down with the vertex at (0, 0).  So, the graph is increasing from -∞ to 0.

3 0
3 years ago
Find the solution set of the following quadratic equations using the quadratic formula.
oksian1 [2.3K]

Answer:

<h3>                1)  x_1=\dfrac{7+\sqrt{13}}2\,,\quad x_2=\dfrac{7-\sqrt{13}}2</h3><h3>                2)   x_1=-\dfrac13\,,\quad x_2=-3    </h3>

Step-by-step explanation:

<h3>1)</h3>

x^2 - 7x + 9 = 0\quad\implies\quad a=1\,,\ b = -7\,,\ c=9\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-7)\pm\sqrt{(-7)^2-4\cdot1\cdot9}}{2\cdot1}=\dfrac{7\pm\sqrt{49-36}}2\\\\x_1=\dfrac{7+\sqrt{13}}2\,,\quad x_2=\dfrac{7-\sqrt{13}}2

<h3>2)</h3><h3>3x^2 + 10x=-3\\\\3x^2+10x+3=0\quad\implies\quad a=3\,,\ b =10\,,\ c=3\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-10\pm\sqrt{10^2-4\cdot3\cdot3}}{2\cdot3}= \dfrac{-10\pm\sqrt{100-36}}6\\\\x_1=\dfrac{-10+\sqrt{64}}6=\dfrac{-10+8}6=-\dfrac13\,,\qquad x_2=\dfrac{-10-8}6=-3</h3>
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Tpy6a [65]
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r^3 = 288*PI / (4/3 * PI)
</span></span></span><span>r^3 = 288 / (4/3)
</span>r^3 = 216
r = 6 inches

Sphere Surface Area     =    <span> 4 • <span>π <span>• r²
</span></span></span>
Sphere Surface Area     =  4 * PI * 36

Sphere Surface Area     =  <span> <span> <span> 452.389 square inches

</span></span></span>
4 0
3 years ago
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F(x) = sqrt(- 2x) Determine for each value whether it is in the domain of f or not.
Gnoma [55]

Answer:

only -2 is in the domain

Step-by-step explanation:

For negative values under the sqrt, there is no real answer, hence

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only for x=-2 this is the case.

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4 0
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