3 years ago

Which statement describes a key feature of function g if g(x)=e^x-7

Mathematics

1 answer:

Alenkasestr [34]3 years ago

5 0

Answer is B to this one

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Nathan's city took a survey about a plan for a new park. Of the people surveyed, 159 liked the plan for the park and 141 did not

Lerok [7]

Divide the two numbers and then multiply by 100.

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4 years ago

Expand the following using either the Binomial Theorem or Pascal’s Triangle. You must show your work for credit. (x - 3)^5

Rudiy27

I used bionomial expansion up to and including the term $x^{3}$

$(-3 + x)^{5}$

$-3^{5} (1 + -\frac{1}{3}x) ^{5}$

$-243 (1 + -\frac{1}{3}x) ^{5}$

n = 5
x = $- \frac{1}{3}x$

Binomial expansion:

$1 + nx + \frac{n(n-1) x^{2} }{2!} + \frac{n(n-1)(n-2) x^{3} }{3!}$

Therefore:

$1 + (5*- \frac{1}{3}x) + \frac{5(4) (- \frac{1}{3}x)^{2} }{2} + \frac{5(4)(3) (- \frac{1}{3}x)^{3} }{6}$

=

$1 - \frac{5}{3} x + \frac{10}{9} x^{2} - \frac{10}{27} x^{3} 

$

Multiply by -243

=

$-243 + 405x - 270x^{2} + 90 x^{3} 
$

3 0

3 years ago

Read 2 more answers

The length of each side of an equilateral triangle is 74mm, correct to the nearest millimeter. Calculate the smallest possible p

Olin [163]

Answer:

221 mm

Step-by-step explanation:

The dimension 74 mm is presumed to mean that the actual length could be anywhere in the interval [73.5, 74.5). So, the minimum perimeter is ...

3 × 73.5 = 220.5 ≈ 221 . . . millimeters

_____

The perimeter of an equilateral triangle is 3 times the side length, since all three sides of the triangle are the same length.

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3 years ago

A triangle has the following coordinates: (8,6), (4,-4), (-9,-2) After a reflection, it has the coordinates (-8,6), (-4, -4), (9

Phantasy [73]

Answer:

The y-axis

Step-by-step explanation:

When the x coordinate changes signs but the y doesn't, it reflects across the y-axis

6 0

3 years ago

PLEASE HELP WITH PART B

Hoochie [10]

I don’t really get what exactly you need help with, maybe put a picture?

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3 years ago