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3 years ago

Which statement describes the function shown on the graph

Mathematics

1 answer:

Anna007 [38]3 years ago

7 0

Let’s use process of elimination
Since the y intercept is at (0, y)
It is around -9 and -10
It cannot be A or C
Now for slope, it is moving up at a steep pace. The slope should be positive.
For D, the slope is too little.
Therefore, it has to be B

Solution: B

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2.8, 3.4, 4.0, 4.6, . . . Write an equation for the nth term of the arithmetic sequence. Then find a50.

vova2212 [387]

Answer:

a_n = 2.2 + 0.6 n

a_50 = 32.2

Step-by-step explanation:

What's the common difference of this series?

$a_1 = 2.8$

$a_2 = 3.4$

Common difference = $a_2 - a_1 = 3.4 - 2.8 = 0.6$ .

Expression for the nth term:

$a_n = a_1 + (n - 1) \cdot\text{Common Difference} \\\phantom{a_n } = 2.8 + 0.6 \; (n-1) \\\phantom{a_n} = 2.8 + 0.6 \; n - 0.6\\\phantom{a_n} = 2.2 + 0.6\; n$

n = 50 for the fiftieth term. Therefore

$a_{50} = 2.2 + 0.6 \times 50 = 32.2$ .

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3 years ago

How to get point of intersection of two lines

Nastasia [14]

Where the 2 lines meet in the middle to form an X

4 0

3 years ago

Read 2 more answers

Differentiating Exponential functions In Exercise,find the derivative of the function. See Example 2 and 3.

Citrus2011 [14]

Answer:

$f'(x)=-5ae^{ax}=a f(x)$ , where a be a constant.

Step-by-step explanation:

Note: The given functions is a constant function because variable term is missing.

Consider the given function is

$f(x)=-5e^{ax}$

where a be a constant.

We need to find the derivative of the function.

Differentiate with respect to x.

$f'(x)=\dfrac{d}{dx}(-5e^{ax})$

$f'(x)=-5\dfrac{d}{dx}(e^{ax})$

$f'(x)=-5e^{ax}\dfrac{d}{dx}(ax)$ $[\because \dfrac{d}{dx}(e^x)=e^x]$

$f'(x)=-5ae^{ax}$

$f'(x)=a(-5e^{ax})$

$f'(x)=a f(x)$

Therefore, the derivative of the function is $f'(x)=-5ae^{ax}=a f(x)$ .

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3 years ago

Can someone please check this (#4) for me?

IrinaVladis [17]

Answer:

What you are doing wrong is that you are using the formula to find the area of the entire circle rather than using the formula to find a sector of a circle. The two cases uses 2 different kind sentences of formulas.

3 0

3 years ago

A recipe calls for 24 ounces of oil and 8 ounces of vinegar. Kim is making dressing with 12 ounces

inessss [21]

Answer:

36 ounces.

Step-by-step explanation:

The ratio being 24:8 can be simplified to 3:1

Multiply the one (the vinegar) by a factor of 12

What happens to one side has to happen to the other

12(3:1)

36 ounces.

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3 years ago