Please please someone help me on this...Given that the function graphed is f(x), what is f(-3)?

Question 5 (1 point)

aleksley [76]

Answer:

A = x^2 + 5x - 14

Step-by-step explanation:

A = L × W

A = (x+7) × (x-2)

A = x^2 + 7x - 2x - 14

5 0

3 years ago

What is the common ratio for the geometric sequence? 18,12,8,163,… Enter your answer in the box.

uysha [10]

Answer:

$\frac{2}{3}$ .

Step-by-step explanation:

We have been given a geometric sequence 18,12,8,16/3,.. We are asked to find the common ratio of given geometric sequence.

We can find common ratio of geometric sequence by dividing any number by its previous number in the sequence.

$\text{Common ratio of geometric sequence}=\frac{a_2}{a_1}$

Let us use two consecutive numbers of our sequence in above formula.

$a_2$ will be 12 and $a_1$ will be 18 for our given sequence.

$\text{Common ratio of geometric sequence}=\frac{12}{18}$

Dividing our numerator and denominator by 6 we will get,

$\text{Common ratio of geometric sequence}=\frac{2}{3}$

Let us use numbers 8 and 16/3 in above formula.

$\text{Common ratio of geometric sequence}=\frac{\frac{16}{3}}{8}$

$\text{Common ratio of geometric sequence}=\frac{16}{3*8}$

$\text{Common ratio of geometric sequence}=\frac{2}{3}$

Therefore, we get $\frac{2}{3}$ as common ratio of our given geometric sequence.

6 0

2 years ago

In the data set below, what is the lower quartile? 2 2 3 5 6 6

MAXImum [283]

The median is 4
There are 3 numbers below 4. and the lower quartile is the middle number of these 3.
So its 2

6 0

2 years ago

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Prove that BUGS is a trapezoid with coordinates B(-2,-1), U(0,3), G(3,2) and S(4,-3).

telo118 [61]

Answer:

Proved

Step-by-step explanation:

Given

$B =(-2,-1)$

$U = (0,3)$

$G = (3,2)$

$S = (4,-3)$

Required

Prove BUGS is a trapezoid

Given the coordinates, to prove a trapezoid; all we need to do is to check if one pair of sides is parallel.

Taking BU and GS as a pair

First, we calculate the slope using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

For BU

$B =(-2,-1)$ --- $(x_1,y_1)$

$U = (0,3)$ --- $(x_2,y_2)$

So, we have:

$m = \frac{3 - -1}{0- -2}$

$m = \frac{4}{2}$

$m = 2$

For GS

$G = (3,2)$ --- $(x_1,y_1)$

$S = (4,-3)$ --- $(x_2,y_2)$

So, we have:

$m = \frac{-3-2}{4-3}$

$m = \frac{-5}{1}$

$m = -5$

The slope of BU and GS are not the same; hence, they are not parallel.

Taking BS and GU as a pair

Calculate the slope

For BS

$B =(-2,-1)$ --- $(x_1,y_1)$

$S = (4,-3)$ --- $(x_2,y_2)$

So, we have:

$m = \frac{-3 - -1}{4- -2}$

$m = \frac{-2}{6}$

$m = -\frac{1}{3}$

For GU

$G = (3,2)$ --- $(x_1,y_1)$

$U = (0,3)$ --- $(x_2,y_2)$

So, we have:

$m = \frac{3-2}{0-3}$

$m = \frac{1}{-3}$

$m = -\frac{1}{3}$

The slope of BS and GU are the same; hence, they are parallel.

BUGS is a trapezoid because BS and GU have the same slope

8 0

2 years ago

You can deliver 261

lapo4ka [179]

Answer:

261÷3=87

87×8=696

Step-by-step explanation:

4 0

2 years ago

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