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2 years ago

9

The area (in square inches) of a rectangle is given by the polynomial function A(x) = x^2+ 10x + 24. If the width of the rectang

le is (x + 6) inches, what is the length

1 answer:

ratelena [41]2 years ago

4 0

Answer:21

Step-by-step explanation:

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A gift shop sells 140 wind chimes per month at $90 each. The owners estimate that for each $5 increase in price, they will sell

guapka [62]

Answer: $95

Step-by-step explanation:

Te new price will be 90 + 5x, if the price increases "x" times

The number of wind chimes sold per month will become 140 - 7x

$\begin{aligned}&\text {Revenue, } \mathrm{R}(\mathrm{x})=(90+5 \mathrm{x})(140-7 \mathrm{x}) \\&R^{\prime}(x)=5(140-7 x)-7(90+5 x) \\&R^{\prime}(x)=700-35 x-630-35 x \\&R^{\prime}(x)=70-70 x=0 \\&70 x=70 \\&x=1\end{aligned}$

Therefore, if the price becomes (90 + 5(1)) = $95 per wind chime, then the revenue will be maximum

6 0

2 years ago

Write the equation of a line parallel to the line 2x + 3y = 5 and passes through the point (9, -3)

madreJ [45]

Paralell is smae slope so it is
2x+3y=c
find c

given
(9,-3)
x=9
y=-3
evaluate to find the constant, c

2(9)+3(-3)=c
18-9=c
9=c

the equation is 2x+3y=9

4 0

2 years ago

5. (3x2 – 13x – 10) ÷ (x – 5)

IgorC [24]

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$( 3 {x}^{2} - 13x - 10 ) \div (x - 5) = \\$

$\frac{3 {x}^{2} - 13x - 10 }{x - 5} = \\$

$\frac{(x - 5)(3x + 2)}{(x - 5)} = \\$

$3x + 2$

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3 0

2 years ago

Does 36x+24=12(x+2+2x) , have no solution, one solution, many solutions?

Reika [66]

Answer:

No solution

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

1) The astronaut's sense of imbalance in a space flight is due to the rotation of a device in which he or she feels a fictitious

max2010maxim [7]

Answer:

n = 0.38 rotation per second

Step-by-step explanation:

The device rotates according to the mathematical equation :

$n=\dfrac{g^{0.5}}{2\pi r^{0.5}}$ ...(1)

Where n is the rotational speed and is measured in rotations per second (s).

r is radius of the circulator and is measured in meters (m).

We need to find the rotational speed when radius is 1.7 m. Put r = 1.7 m in equation (1).

$n=\dfrac{(9.8)^{0.5}}{2\pi \times (1.7)^{0.5}}\\\\=0.38\ \text{rotations per second}$

Hence, the rotational speed is 0.38 rotation per second.

8 0

2 years ago