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Fudgin [204]
3 years ago
6

What is the average rate of change of f(x), represented by the table of values, over the interval [-3, 2]?

Mathematics
2 answers:
solmaris [256]3 years ago
7 0
A)-40  is the correct answer                                              

gizmo_the_mogwai [7]3 years ago
3 0

Answer:

Option c) 8 is the answer.

Step-by-step explanation:

Given table is

x         -5      -3       -1       0        1        2

f(x)    -150   -36      -2      0        0       4

We have to find the rate of change of f(x) over the period of x  [-3, 2]

Since rate of change of x = \frac{\delta f(x)}{\delta x}

Now we have been given \delta x=x_{2}-x_{1}

and \delta x=2-(-3)=5

Similarly \delta f(x)=f(x_{2})-f(x_{1})

\delta f(x)=36-(-4)=36+4=40

Now rate of change of f(x) will be = \frac{40}{5}=8

Option C is the answer.

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Paul opens a savings account with $350. He saves $150 per month. After how many months will Paul have $2150 in the account?​
Debora [2.8K]

Answer:

12 months

Step-by-step explanation:

2150-350=1800

1800÷150=12

3 0
2 years ago
Determine the number of possible triangles, ABC, that can be formed given A = 30°, a = 7, and b = 18.
zzz [600]

Answer:

none

Step-by-step explanation:

We are given a triangle ABC with ∠A = 30°, sides a = 4 and b = 10.

According to the 'Law of Sines- Ambiguous Case', we have,

If a < b×sinA, then no triangle is possible.

If a = b×sinA, only one triangle is possible

If a > b×sinA, two triangles are possible.

So, we have,

b×sinA = 10 × sin30 = 10 × 0.5 = 5.

Now, as

4 = a < bsinA = 5.

We get, according to the rule, no triangle is possible.

8 0
2 years ago
Find the uncertainty in a calculated average speed from the measurements of distance and time. Average speed depends on distance
zzz [600]

Answer:

\frac{\Delta v}{v}=0.426

Step-by-step explanation:

you have that the average sped is given by the following formula:

v(x,t)=\frac{x}{t}

The uncertainty formula for a division is given by:

\frac{\Delta v}{v}=\sqrt{(\frac{\Delta x}{x})^2+(\frac{\Delta t}{t})^2}        (1)

Δv: uncertainty in speed

Δx: uncertainty in the distance = 0.9m

Δt: uncertainty in time = 0.7s

x: distance = 8.1m

t: time = 1.7s

You replace the values of all parameters in the equation (1):

\frac{\Delta v}{v}=\sqrt{(\frac{0.9}{8.1})^2+(\frac{0.7}{1.7})^2}\\\\\frac{\Delta v}{v}=0.426

Hence, the relation between the uncertainty in the average velocity is 0.426

4 0
3 years ago
Help me please
Phoenix [80]

Answer:

First of all, rectangles and rectangular prisms have one foremost difference, which is their dimensions. A rectangle has two dimensions whilst a rectangular prism has three. Those dimensions include width, length, and height- but a rectangle has only width and length. Although, in comparison, they're both made from the same quadrilateral: rectangles. A "2D" rectangle has one, while a "3D" rectangle, or rectangular prism, is made of six. The rectangles that make up a rectangular prism can also be referred to as faces.

8 0
2 years ago
7 cm<br> 10.5 cm<br> 13 cm<br> Your Turn!<br> 3 m<br> 15 m<br> 11 m<br> 5m
daser333 [38]

Answer:  number 1 . 6688.5 then rounded is 6689.

Number 2.  2475

Step-by-step explanation:

3 0
3 years ago
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