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3 years ago

Suppose that f(x)=x^2 and g(x)=-1/4(x+7)^2. Which statement best compares the graph of g(x) with the graph of f(x)?

Mathematics

1 answer:

wolverine [178]3 years ago

5 0

Answer:

Both of these graphs are quadratics. They both form a parabola opening up

Step-by-step explanation:

The only difference between g(x) and f(x) is that g(x) is moved to the left 7 unit and has a horizontal stretch of 1/4

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Which numbers are rational?

QveST [7]

Answer:

0 is a rational number.

-7 is a rational number.

10 is a rational number.

Step-by-step explanation:

Not sure about the rest but these numbers I know for a fact are 100% rational.

3 0

2 years ago

6-8x=23 What number is x

Vikki [24]

X = -17/8

Do you need explanation?

7 0

3 years ago

Read 2 more answers

Compute each sum below. If applicable, write your answer as a fraction.

Alex777 [14]

Answer:

First equation is -425

Second equation is 11.25

Step-by-step explanation:

First equation we can write as

$\sum_{i=0}^7 5 \times (-2)^i$

computing

When i=0 -> $5 \times (-2)^0 =5$

When i=1 -> $5 \times (-2)^1 = -10$

...

When i=7 -> $5 \times (-2)^7 = --640$

then replacing each term we have

$5 + (-10) + ( 20) + ( -40) + (80) +( -160) + 320 + (-640) = -425$

For the second equation we'll have 9 terms, solving in a similar fashion

When i=1 -> $\frac{1}{4}1=0.25$

When i=2 -> $\frac{1}{4}2=0.50$

When i=3 -> $\frac{1}{4}3=0.75$

...

When i=9 -> $\frac{1}{4}9=2.25$

So we have 0.25 + 0.50 + 0.75 + 1.00 + 1.25 + 1.50+ 1.75 +2.00 +2.25

4 0

3 years ago

What is the equation in point-slope from for the line that passes through the points (-3,5) and (2,-3)?

Aleks [24]

Answer:

$y + 3 = -1\frac{3}{5}[x - 2]\:or\:y - 5 = -1\frac{3}{5}[x + 3]$

Step-by-step explanation:

First, find the rate of change [slope]:

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

$\frac{-5 - 3}{3 + 2} = -\frac{8}{5} = -1\frac{3}{5}$

Now input the slope into the Point-Slope Formula. In this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT signs:

$y - y_1 = m[x - x_1]$

$y + 3 = -1\frac{3}{5}[x - 2]\:or\:y - 5 = -1\frac{3}{5}[x + 3]$

I am joyous to assist you anytime.

8 0

3 years ago

The rabbit population in a certain area is 500% of last year's population. There are 700 rabbits this year. How many were the

Ksenya-84 [330]

For this case we have the following data:

700 rabbits that represent 500% of the population of last year. So, to obtain the rabbit population of last year, we developed a rule of three:

700 -----------> 500%

x ---------------> 100%

Where x represents the rabbit population of last year.

Clearing x we have:

$x = \frac{ 100 * 700}{500}$

$x = 140$ rabbits

In this way, last year there was a population of 140 rabbits.

Answer:

140 rabbits

8 0

3 years ago