From the graph of the function, determine the domain and the range.
A. Domain: (–4, –2] Range: (–3, 0)
B. Domain: (–4, 4) Range: [–3, 0]
C. Domain: [–4, –2] Range: [–1, 0)
D. Domain: (–4, 3] Range: (1, 0)

Answer: (a)

Step-by-step explanation:

Given

[tex]g(x)=x^2[/tex]

Clearly, [tex]f(x)[/tex] is obtained by shifting [tex]g(x)[/tex]  3 units down and multiplying it by a certain factor to amplify it.

Checking the option which is 3 units below and multiplying by a factor

option (a) is meeting both the cirterias.

Answer:

98 degrees

Step-by-step explanation:

We know that H is the same as G because the sides are marked equal.

41 + 41 = 82

In a triangle the measure of degrees in total is 180.

180 - 82 = 98

Answer:

the solution is where the two objects intersect ...

1) A line can completely miss the circle (no solutions is possible)

2) a line can "kiss" the circle at one point (one solution)

3) note that a line can not "bend"... it can touch one side of the circle pass

through the center and touch the circle in a second spot (going out) .. two solutions...

those are the three possibility that are in the question that was posted...

three check comments are true

Step-by-step explanation:

Answer:

0/1

Step-by-step explanation:

Given:

The fraction is:

[tex]\dfrac{\dfrac{-2}{x}+\dfrac{5}{y}}{\dfrac{3}{y}-\dfrac{2}{x}}[/tex]

To find:

The expression that is equivalent to the given fraction.

Solution:

We have,

[tex]\dfrac{\dfrac{-2}{x}+\dfrac{5}{y}}{\dfrac{3}{y}-\dfrac{2}{x}}[/tex]

After taking LCM, we get

[tex]\dfrac{\dfrac{-2y+5x}{xy}}{\dfrac{3x-2y}{xy}}[/tex]

[tex]\dfrac{-2y+5x}{3x-2y}[/tex]

Therefore, the correct option is A.

[tex]4( \frac{1}{5} x + 7) = 2x - 2[/tex]

[tex]x = 25[/tex]

Answer:

is the clean area the desired one (I assume, yes)?

then y <= 3x + 5

if the dotted area is the desired area, then

y >= 3x + 5

Step-by-step explanation:

the factor of x is the slope of the line expressed as y/x ratio.

clearly, the line shows that for x changing by 1 unit y changes by 3 units. so, the slope is 3/1.

that leaves us only with the 2 middle options.

for "y <=" the desired values of y for a given x must be on the line (equal) or below (smaller than the value of the line equation). that is true, if the desired area is the clear one (no dots).

so, "y >=" is true, if the dotted area is desired.

Answer:

C = (4,4)

It is (4,4) because it means that it is twice as large as the original coordinates.

Answer:

The correct answer is D.

A, B, and C are incorrect. <3

Hope this helps!

- Madeline

Answer:

C.  y = -2/3 x + 4

Step-by-step explanation:

y = mx + b

From the graph we see that b = 4, and m = 2/3.

y = -2/3 x + 4

Answer:

a. $1.50 per pound of weight.

b. C

Step-by-step explanation:

a. explanation:

1. pounds is increasing by +4 and dollars are increasing by +6.00

 2. as a fraction it is 6/4.

  3. simplified is 1 1/2 or 1.50

b. explanation

1. we know that the slope (or rate of change) is $1.50 /per pound of weight.

 2. 4 - 4 = 0; $11.00 - 6.00 = $5.00

  3. 0, $5.00

   4. The y-int. is $5.00

    5. answer is C

Answer:

59°

Step-by-step explanation:

The angles of a triangle equal 180°.

Also the angle of a straight line is 180°.

So you first find the missing bottom angle by taking 180-147 to equal 33.

Then you take 33+88+x=180

solve for x by subtracting 88 and 33 from 180 to equal 59.

Answer:

59°

Step-by-step explanation:

180 - 147 = 33

88 + 33 = 121

180 - 121 = 59

Answer:

336 cm²

Step-by-step explanation:

Given a dilatation by a factor of 2 then the area factor is 2² = 4

area of figure = 4 × 84 = 336 cm²

Answer:

f(4) = 9

Step-by-step explanation:

f left parenthesis x right parenthesis equals x squared minus 3 x plus 5

f(x) = x² - 3x + 5

f left parenthesis 4 right parenthesis equals

f(4) =

f(x) = x² - 3x + 5

When x = 4

f(4) = 4² - 3(4) + 5

= 16 - 12 + 5

= 9

f(4) = 9

Answer:

Pretty sure its A

Step-by-step explanation:

Answer:

l think he used three which is the diameter as the radius instead of dividing it by two................

Answer:

12 square units

Step-by-step explanation:

Given

See attachment for net

Required

The surface area

The net has the following shapes:

So, the surface area is:

Area = Area of Square + 4 * Area of 1 Triangle

[tex]Area = 2 * 2 + 4 * \frac{1}{2} * 2 * 2[/tex]

[tex]Area = 4 + 8[/tex]

[tex]Area = 12[/tex]

Answer:

No solution is possible from the information provided

Step-by-step explanation:

you didn't include the function.

Answer:

c

Step-by-step explanation:

This is a parabola, so it is a quadratic parent function.

Answer: 2, 3, 4

Step-by-step explanation:

In the table graph provided, you will a column that has "x" as it's title. Under x, 4, 8, and 12 should listed. You figure out the answers for y by inputting the x value into the rule: y = 1/4x + 1.

Answer:B

Step-by-step explanation:

Answer:

45/7

Step-by-step explanation:

ok lets first find the total sum. there are 5 numbers so 13*5=65

2x+0+5x+11+9=65

7x=45

x=45/7 or 6.42857143

Answer:

B: 153ft2

Step-by-step explanation:

Answer:

um I think its 14

Step-by-step explanation:

Answer:

option A

Step-by-step explanation:

[tex]\frac{x^a}{x^b} = x^{a-b}[/tex] , [tex]z^0 = 1[/tex]

So,

[tex]\frac{18x^5 y}{6xy^8z^0} = \frac{18}{6} \times x^{5 -1} \times y^{1-8} = 3 x^4 \times y^{-7} = \frac{3x^4}{y^7}[/tex]

Answer:

A, B, and D

Step-by-step explanation:

Answer:

In picture

Step-by-step explanation:

Brainliest please

Answer:

The function [tex]f(x) = \frac{x^{2}-4}{x^{3}-3\cdot x^{2}-10\cdot x}[/tex] has a zero: [tex]x = 2[/tex], and two poles: [tex]x = 0[/tex] and [tex]x = 5[/tex].

Step-by-step explanation:

Let be [tex]f(x) = \frac{x^{2}-4}{x^{3}-3\cdot x^{2}-10\cdot x}[/tex] a rational function armed with polynomial function. We proceed to factor the expression to the find the zeros and poles of the rational function:

1) [tex]f(x) = \frac{x^{2}-4}{x^{3}-3\cdot x^{2}-10\cdot x}[/tex] Given

2) [tex]f(x) = \frac{(x + 2)\cdot (x-2)}{x\cdot (x^{2}-3\cdot x -10)}[/tex]  [tex]a^{2} - b^{2} = (a + b)\cdot (a - b)[/tex]/Associative, commutative and distributive properties.

3) [tex]f(x) = \frac{(x+2)\cdot (x-2)}{x\cdot (x-5)\cdot (x+2)}[/tex] [tex]x^{2} -(a+b)\cdot x + a\cdot b = (x-a)\cdot (x-b)[/tex]

4) [tex]f(x) = \frac{x-2}{x\cdot (x-5)}[/tex] Commutative property/Existence of multiplicative inverse/Modulative property/Result

The function [tex]f(x) = \frac{x^{2}-4}{x^{3}-3\cdot x^{2}-10\cdot x}[/tex] has a zero: [tex]x = 2[/tex], and two poles: [tex]x = 0[/tex] and [tex]x = 5[/tex].

Answer:

Step-by-step explanation:

You can do this in two steps.

4s * (5s^2 + 10s + 3)                   Remove the brackets

20s^3 + 40s^2 + 12 s

2(5s^2 + 10s + 3)  

10s^2 + 20s + 6

Now add them

20s^3 + 40s^2 + 12s + 10s^2 + 20s + 6

Rearrange them so the like terms are together.

20s^3 + 40s^2 + 10s^2 +12s + 20s + 6

20s^3 + 50s^2 + 32s + 6