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3 years ago

Please help with this question! It’s Algebra Math 2

Mathematics

1 answer:

juin [17]3 years ago

3 0

Zero of 7 with a multiplicity of 3 means one factor is $(x-7)^3$

Zero of -1 with a multiplicity of 2 means one factor is $(x+1)^2$

Zero of 5 with a multiplicity of 1 means one factor is $(x-5)$

Multiplying, we get

$f(x) = (x-7)^3(x+1)^2(x-5)$

That's already in factored form so we leave it here.

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The length of a rectangle is increasing at a rate of 6 cm/s and its width is increasing at a rate of 5 cm/s. When

atroni [7]

Answer:

The area of the rectangle is increasing at a rate of 84 square centimeters per second.

Step-by-step explanation:

The area for a rectangle is given by the formula:

$A=w\ell$

Where w is the width and l is the length.

We are given that the length of the rectangle is increasing at a rate of 6 cm/s and that the width is increasing at a rate of 5 cm/s. In other words, dl/dt = 6 and dw/dt = 5.

First, differentiate the equation with respect to t, where w and l are both functions of t:

$\displaystyle \frac{dA}{dt}=\frac{d}{dt}\left[w\ell]$

By the Product Rule:

$\displaystyle \frac{dA}{dt}=\frac{dw}{dt}\ell +\frac{d\ell}{dt}w$

Since we know that dl/dt = 6 and that dw/dt = 5:

$\displaystyle \frac{dA}{dt}=5\ell + 6w$

We want to find the rate at which the area is increasing when the length is 12 cm and the width is 4 cm. Substitute:

$\displaystyle \frac{dA}{dt}=5(12)+6(4)=84\text{ cm}^2\text{/s}$

The area of the rectangle is increasing at a rate of 84 square centimeters per second.

8 0

3 years ago

how much would 500 invested at 4% interest compounded continuously be worth after 7 years? round your answer to the nearest cent

vladimir1956 [14]

Answer: the answer is 661.55

Step-by-step explanation:

interest formula: F = Pe^(rt)

4 0

1 year ago

HELP: Part A: Using computer software, a correlation coefficient of r=0.51 was calculated. Based on the scatter plot, is that an

user100 [1]

Answer:

Part A: YES, it is.

Part B: the amount of pumpkin picked and the amount of fertilizer applied.

Step-by-step explanation:

Part A:

The closer the correlation coefficient is to 1, the stronger the relationship between two variables, and vice versa. Also, the closer the data points are on a scatter plot, the closer the correlation coefficient is to 1.

The scatter plot shown indicates a positive correlation between number of days and number of pumpkins. However, the data points are to some extent farther apart from each other. This shows a moderate relationship between the two variables. Therefore, a correlation coefficient, r, of 0.51 that was calculated can be concluded to be accurate , because an r of 0.51 depicts a moderate relationship between two variables.

Part B:

A variable that could affect the number of pumpkins picked could be amount of fertilizer applied, instead of the day in October. Thus, we can compare the amount of pumpkin picked and the amount of fertilizer applied.

8 0

3 years ago

On a piece of paper graph y= 2x-3. Then determine which answer matches the graph you drew. (there is 4 options not just three)

boyakko [2]

Answer:

Step-by-step explanation:

since the slope (2) is positive the graph is similar to y=x, so graphs B and D are eliminated

so when x=1 we have

y=2(1)-3

y=2-3

y=-1

so the point is (1,-1), graph C eliminated

so it's A

3 0

3 years ago

Need help, please explain the answer

Mkey [24]

Answer:

Step-by-step explanation:

U have to multiply 49 by 49 and then subtract 9

4 0

3 years ago