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never [62]
2 years ago
12

What is the slope of the line that contains the points (-1,2) and(3,3)

Mathematics
1 answer:
erastova [34]2 years ago
7 0

Answer:

1/4

Step-by-step explanation:

slope = change in y-values / change in x-values

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

m = 1/4

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Please help. I’ll mark you as brainliest if correct!
chubhunter [2.5K]

Answer:

\boxed{\sf \ \ \ f^{-1}(x)=1+\sqrt{x} \ \ \ }

Step-by-step explanation:

the minimum of f is for x = 1 and f(1)=0

f is decreasing for x<=1 and increasing for x>=1

so the domain is [1;+\infty[

f^{-1}(f(x))=x =f^{-1}((x-1)^2)\\\\f(f^{-1}(x))=x=(f^{-1}(x)-1)^2

x>=1 so x is positive and we can take the square root

so f^{-1}(x)=1+\sqrt{x}

8 0
2 years ago
8x + 12 = 4r - 16 find r
Luda [366]

Answer:

r = 2x + 7

Step-by-step explanation:

get r on one side

8x + 12 + 16 = 4r

divide both sides by 4 to get r by itself

8x/4 + 12/4 + 16/4 = 4r/4

2x + 3 + 4 = r

2x + 7 = r

or

r = 2x + 7

8 0
2 years ago
Jasmine wants to start saving to purchase an apartment. Her goal is to save $225,000. If she deposits $180,000 into an account t
Y_Kistochka [10]

The time it will take the principal to grow to the desired amount is 0.7 years

Using the compound interest formula :

A = P(1 + r/n)^(nt)

A = final amount = 225,000

P = principal = 180,000

r = rate = 3.12%

n = Number of compounding times per period = 12(monthly)

t = time

225000 = 180000(1 + (0.0312 /12))^(12t)

Divide both sides by 180000

225000/180000 = (1 + (0.0312 /12))^(12t)

1.25 = 1.026^12t

Take the log of both sides

0.0969100 = 0.0111473 × 12t

0.0969100 = 0.1337676t

Divide both sides by 0.1337676 to isolate t

0.0969100 / 0.1337676 = t

0.7244 years

0.7 years

It will take 0.7 years for the amount to grow

Learn more : brainly.com/question/21270833?referrer=searchResults

8 0
2 years ago
Read 2 more answers
Polygons ABCD and A'B'C'D' are shown on the following coordinate grid:A coordinate grid is shown from positive 6 to negative 6 o
Blababa [14]
<span>A(2, -2), B(4, -2), C(1, -3), D(5, -3).

A'(1, 2), B'(1, 4), C'(2, 1), D'(2, 5)

That looks like a rotation 90 degrees around the origin then a translation.  

Let's do the rotation ABCD->A"B"C"D"

The rotation is (x,y)->(-y,x)

</span>A"(2, 2), B"(2,4), C"(3,1), D"(3,5).

Compare to
 
A'(1, 2), B'(1, 4), C'(2, 1), D'(2, 5)

we need to translate one unit to the left.

Answer: 90 degree rotation around the origin then translation by (-1,0)

5 0
2 years ago
Read 2 more answers
Find the next two numbers in a pattern?<br><br> 7, - 28,112, - 448 __, __, . . .
Igoryamba

Answer:

1,792    -7168

the pattern is to multiply by -4

Step-by-step explanation:

7 · -4 = -28

-28 · -4 = 112

112 · -4 = -448

-448 · -4 = 1,792

1,792 · -4 = -7168

4 0
2 years ago
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