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Alik [6]
3 years ago
15

3.) Find the domain and range for each of the following functions.

Mathematics
1 answer:
Delvig [45]3 years ago
6 0
Domain is x’s and range is y’s.

For a, the domain is -2<=x<1
For a, the range is 1<=y<2

For b, the domain is 1<=x<=2
For b, the range is -2<=y<=2

(The <= is the ones with a line under, meaning equal to, if that makes sense. So write with a line under rather than equal sign)
Hope this helps!
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Type the correct answer in each box. A circle is centered at the point (5, -4) and passes through the point (-3, 2). The equatio
Galina-37 [17]

Answer:

(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}

Step-by-step explanation:

Given:

Center of circle is at (5, -4).

A point on the circle is (x_1,y_1)=(-3, 2)

Equation of a circle with center (h,k) and radius 'r' is given as:

(x-h)^2+(y-k)^2=r^2

Here, (h,k)=(5,-4)

Radius of a circle is equal to the distance of point on the circle from the center of the circle and is given using the distance formula for square of the distance as:

r^2=(h-x_1)^2+(k-y_1)^2

Using distance formula for the points (5, -4) and (-3, 2), we get

r^2=(5-(-3))^2+(-4-2)^2\\r^2=(5+3)^2+(-6)^2\\r^2=8^2+6^2\\r^2=64+36=100

Therefore, the equation of the circle is:

(x-5)^2+(y-(-4))^2=100\\(x-5)^2+(y+4)^2=100

Now, rewriting it in the form asked in the question, we get

(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}

4 0
3 years ago
HELP PLEASE I NEED THIS RN ITS DUE
blondinia [14]

Answer:

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8 0
3 years ago
If y=0.9 when x=2.4, find y when x=6.4​
Jet001 [13]

Answer:

2.4

Step-by-step explanation:

You have to divide 6.4 by 2.4 to get 2.66666666667.

Then you multiply 2.66666666667 and 0.9 to get 2.4

When x = 6.4, y = 2.4

Hope this helps!

5 0
2 years ago
Read 2 more answers
Abdul is creating a cushion that is 1 foot by 2 feet by 3 feet. He wants to find the least amount of fabric he will need to cove
netineya [11]

Answer:

The least amount of fabric are 22 square feet

Step-by-step explanation:

we know that

The surface area of a rectangular prism is given by the formula

SA=2B+PH

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

Let

L ---> the length pf the prism

W ---> the width of the prism

H ---> is the height of the prism

Let

L=2\ ft\\W=3\ ft\\H=1\ ft

Find the area of the base

B=LW=(2)(3)=6\ ft^2

Find the perimeter of the base

P=2(L+W)=2(2+3)=10\ ft

Find the surface area

SA=2(6)+10(1)=22\ ft^2

therefore

The least amount of fabric are 22 square feet

7 0
3 years ago
Read 2 more answers
99 POINTS!!! Find the least common denominator for these two rational expressions b/b^2+2b+1 -6/b^2+7b+6
ki77a [65]

Answer:

49b^2 -36 = (7b -6)(7b +6)

so because there you missed some signs in these wrote choices  

hope helped  

Step-by-step explanation:

5 0
3 years ago
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