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andrew-mc [135]

3 years ago

8

The red graph (1) is the graph of f(x) = log(x). Describe the transformation of the blue function (2) and write the equation of

the graph.

1 answer:

san4es73 [151]3 years ago

6 0

Omg what haha this is hard

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Rhode Island has a population of about 60,000 8th graders in the state. New Jersey has a total of 920,000 8th graders. Calculate

seropon [69]

Answer:

8.6 × 10^5

Step-by-step explanation:

New Jersey 8th graders = 920,000

Rhode island 8th graders = 60,000

Difference in Rhode island 8th graders and New Jersey 8th graders population

= 920,000 - 60,000

= 860,000

Answer in scientific notation

860,000

The decimal point will move 5 places in

= 8.6 × 10^5

8 0

3 years ago

-20 - 4y when y = -3 need help asap

andreev551 [17]

Since y=-3 you need to set up the equation
-20-(-3)
And all you have to do is simplify
So your answer will be
-17

Hope this helped :)
Have a great day

8 0

3 years ago

Kristin spent $120 on shirts. Dress shirts cost $40 and t-shirts cost $8. If she bought a total of 7 shirts, then how many of ea

FinnZ [79.3K]

Answer:

The correct answer is: She bought 2 dress shirts and 5 t-shirts

Step-by-step explanation:

Let's marked dress shirts with x and t-shirts with y.

Now we will make equations to solve this problem:

x + y = 7 => y = 7 - x

40 x + 8 y = 120

When we replace y = (7 - x) in the previous equation we get:

40 x + 8 (7 -x) = 120 40 x + 56 - 8 x = 120 => 32 x = 120 - 56 =>

32 x = 64 => x = 64/32 = 2 => x = 2

y = 7 - x = 7 - 2 = 5 => y = 5

x = 2 dress shirts

y = 5 t-shirts

God with you!!!

8 0

3 years ago

Given that r is the midpoint of qs and that the lenght of qr is 5.7, find the lenght of qs

ra1l [238]

We know that the midpoint is the a point in the center of the line (r). This means that from the midpoint to the endpoint (qr) is half the length of the overall line. This means that 5.7 (the length of qr) units is half the length of the line. Two halves make a whole so 5.7 × 2 = 11.4 units as the length of the entire line qs.
Hope this helps!

5 0

3 years ago

Write the sum using summation notation, assuming the suggested pattern continues. -9 - 4 + 1 + 6 + ... + 66

Ipatiy [6.2K]

Answer:

Summation notation is:

$\sum_{n=1}^{16}[5(x-1)-9]$

If you prefer it a little more simplified:

$\sum_{n=1}^{16}(5x-14)$

Step-by-step explanation:

First my favorite part, finding a pattern between the consecutive terms.

This is an arithmetic series because the terms are going up by 5 each time.

So arithmetic sequence, think linear equations:

x | y

1 -9

2 -4

3 1

4 6

..................

n 66

We are going to have to find that n but will will eventually...

The equation for a line in point slope form is $y-y_1=m(x_x_1)$ where $(x_1,y_1)$ is a point on the line and m is the slope.

We are already have the slope is 5 (the slope is the common difference in arithmetic sequence).

I'm going to use the first point (1,-9).

So the equation in point slope form is $y-(-9)=5(x-1)$

Subtract 9 on both sides:

$y=5(x-1)-9$

Now we need to know how many terms we are adding so what is x if y=66.

$66=5(x-1)-9$

Add 9 on both sides:

$75=5(x-1)$

Divide both sides by 5:

$15=x-1$

Add 1 on both sides:

$16=x$

We have 16 terms in this sequence where the 16th term is 66.

Summation notation is:

$\sum_{n=1}^{16}[5(x-1)-9]$

You could simplify the 5(x-1)-9.

Distribute: 5x-5-9

Add like terms: 5x-14

3 0

3 years ago

Read 2 more answers