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3 years ago

A line passes through (−1, 5) and (1, 3). Which answer is the equation of the line?

Mathematics

1 answer:

UNO [17]3 years ago

4 0

Answer:

d) x+y = 4

Step-by-step explanation:

(−1, 5) and (1, 3)

y = mx + b

m = (3 - 5) / (1 - (-1)) = -2 / 2 = -1

b = y - mx = 3 - ((-1) x 1) = 4

equation: y = -x + 4

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Approximate f by a Taylor polynomial with degree n at the number a. Step 1 The Taylor polynomial with degree n = 3 is T3(x) = f(

MAVERICK [17]

Answer:

If you center the series at x=1

$T_3(x) = e^2 + 4e^2 (x-1)+10(x-1)^2 + \frac{56}{3} e^2(x-1)^3 + R(x)$

Where $R(x)$ is the error.

Step-by-step explanation:

From the information given we know that

$f(x) = e^{2x^2}$

$f'(x) = 4x e^{2x^2}$ (This comes from the chain rule )

$f^{(2)}(x) = 4e^{2x^2} (4x^2+1)$ (This comes from the chain rule and the product rule)

$f^{(3)}(x) = 16xe^{2x^2}(4x^2 + 3)$ (This comes from the chain rule and the product rule)

If you center the series at x=1 then

$T_3(x) = e^2 + 4e^2 (x-1)+10(x-1)^2 + \frac{56}{3} e^2(x-1)^3 + R(x)$

Where $R(x)$ is the error.

3 0

3 years ago

To be considered for pilot school, 12 students took a spatial reasoning test that resulted in this list of scores. Find the valu

lord [1]

Answer:

the 90th percentile is 145

Step-by-step explanation:

Data provided:

152 121 130 143 122 101 137 98 138 127 145 117

Number of students considered, n = 12

To find:

90th percentile

Now,

Step 1 : Arrange the data in ascending order

98, 101, 117, 121, 122, 127, 130, 137, 138, 143, 145, 152

Step 2 : Compute the position of the 90th percentile

position of the 90th percentile, i = (90% × n)

Thus,

i = 0.90 × 12

i = 10.8

Now,

Step 3 : Since, the index i is not an integer, round up to the nearest integer

i.e i = 11

Therefore,

The 90th percentile is the value in 11th position,

i.e 145

7 0

3 years ago

Select the number line that represents all solutions of e>-0.5. (Answer FAST!!!)

Pie

Well the answer couldn’t be C because the arrow has to go to the right not left because for the > in the equation

So the answer has to be D because the dot it on -.5 and the arrow is going right

4 0

3 years ago

One cooy machine can run off copies in 198 minutes. A newer machine can do the same job in 126 minutes. How long does it take th

yanalaym [24]

This depends on the necessary number of copies.

4 0

3 years ago

How do you solve 8-(4x+7)=5x+30-2?

Cerrena [4.2K]

8-4x-7=5x+30-2
combine like terms
1-4x=5x+28
-27=9x
divide both sides by nine
-3=x

6 0

3 years ago