Which of the following sets represents the domain of the function shown? (5 points)

{(2, 7}, (15, 13), (21, –4), (24, 18)}

a
{–4, 2, 7, 13, 15, 18, 21, 24}

b
{(7, 2), (13, 15), (–4, 21), (18, 24)}

c
{2, 15, 21, 24}

d
{–4, 7, 13, 18}

Answer:

Answer is 1536

Step-by-step explanation:

plug in 3 for x

f(3) = 3*8^3 = 1536

Answer:

1536

Step-by-step explanation:

f(x) = 3 * 8 ^ x

x = 3

f(3) = 3 * 8 ^ 3

8^3 = 8 * 8 * 8

8^3 = 512

f(3) = 3 * 512

f(3) = 1536

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

edg 2023

Answer:

640 Miles

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

9x-10y

Step-by-step explanation:

9x+y-2y-9y(Multiply by 1)

Combine like terms

9x-10y

Answer:

-3/7

Step-by-step explanation:

Answer:

y = 2x+4

Perpendicular lines, when you multiply their gradient, you will get -1. You can also find the negative reciprocal, which is 2. The point (0,4) is the y intercept, which is for. Hence, the equation is y=2x+4

Hope this helps!

Answer:

Axis of Symmetry: [tex]x=5[/tex]

Step-by-step explanation:

The axis of symmetry is defined as the line [tex]x=\frac{-b}{2a}[/tex]. Therefore, our axis of symmetry is located at the line [tex]x=\frac{-(-10)}{2(1)}=\frac{10}{2}=5[/tex]. See the graph attached for a visual.

Answer:

x = 5

Step-by-step explanation:

That's f(x) = x^2 - 10x + 16.  The coefficients of the x terms are {1, -10, 16}:  {a, b, c}.  

                                                                         -b

The formula for the axis of symmetry is x = --------

                                                                           2a

Here, with a = 1 and b = -10, the formula for this particular axis of symmetry is

       -(-10)

x = ------------ = 5

         2(1)

or x = 5

Answer:

Step-by-step explanation:

The volume of a sphere is given as

[tex]V=\frac{4}{3}\pi r^3[/tex] and we will use 3.1415 as π:

[tex]V=\frac{4}{3}(3.1415)(4)^3[/tex] to get that

V = 268.07 cm³

Answer:

Are you sure you're not missing any brackets? Cause if you do, the answer might be different

Answer:

-1

Step-by-step explanation:

-[(5-8)+12]÷9

[tex]=-(-3+12)[/tex]÷9

[tex]=-(9)[/tex]÷9

[tex]=\frac{-9}{9} \\=-1[/tex]

Answer:

angle 1=117 because it have vertical angles of congruence theorem

angle 2= 117 because it has the alternate exterior angle theorem

hope this helps

have a good day :)

Step-by-step explanation:

vertical angles have the same length

alternate exterior angles would have the same angle measure because they are on opposite side of the angles

Answer:

I think it could be the X-axis

Answer:

yeah it is -3y=-22+7/3 so y > 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

rectangle similar to the base.

Answer:

[tex]\displaystyle \sin E=\frac{20}{101}[/tex]

Step-by-step explanation:

Recall that sine is the ratio between the opposite side and the hypotenuse in a right triangle:

[tex]\displaystyle \sin x=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]

In the given triangle, with respect to E, the adjacent side is 99, and the hypotenuse is 101. So, we are not given the value of the opposite side.

Since it is a right triangle, we can use the Pythagorean Theorem. Hence:

[tex]OU^2+99^2=101^2[/tex]

Solving for OU (the opposite side) yields:

[tex]OU=\sqrt{101^2-99^2}=20[/tex]

Therefore, the opposite side is 20.

Hence:

[tex]\displaystyle \sin E=\frac{20}{101}[/tex]

Answer:

a = 0 or a = -7

Step-by-step explanation:

We are going to solve this quadratic equation by factorizing.

a² - 7a = 0

a(a - 7) = 0

a = 0 or a - 7 = 0

a = 0 or a = -7

Answer:

y = -½x + 4

Step-by-step explanation:

Equation of any line in slope-intercept form is y = mx + b, where,

m = slope = change in y/change in x

b = y-intercept = the point on the y-axis intercepted by the line.

Let's find m and b.

✔️Using two points on the line, (0, 4) and (2, 3),

Slope (m) = change in y/change in x = (3 - 4)/(2 - 0)

m = -1/2 = -½

✔️The line intercepts the y-axis at y = 4.

Therefore,

b = 4

✔️To write the equation of the line, substitute m = -½ and b = 4 into y = mx + b.

Thus,

y = -½x + 4

Answer:

33.5 units²

Step-by-step explanation:

We can see this figure as 2 shapes: a square and a triangle. The square measures 4 x 4, and it's area is 16. That leaves the triangle, which has half the area of a quadrilateral that measures 5 x 7. The area of the quadrilateral is 35, and the triangle has an area of 17.5, which is half of that. Adding them together, we get 33.5.

Answer:

33.5 unit²

it's a mixture of triangle and square.

draw a imaginary straight line across the figure from that line which has length of 3 units and now you can see the triangle and the square. Use the formula to find area of triangle and area of square and the sum of their area will be the area of this whole figure i.e 35.5 unit²

Step-by-step explanation:

Hey there!

The Pythagorean identity is: sin²(theta) + cos²(theta) = 1.

So, For finding sin (theta);

Take cos (theta) right side.

sin²(theta) = 1-cos²(theta)

Now, take square on right side from.

sin (theta) = √[1-cos²(theta)] {square changes into square root}

Therefore, sin (theta) = √[1-cos²(theta)].

Hope it helps!

Answer:

9

Step-by-step explanation:

There are 4 sides to a square so you would divide 36 by 4.

36/4=9

Answer:

(47)  c. given

(48) b. definition of complementary

(49)  a, m<2 = m<3

(50) d. definition of congruent angles

Step-by-step explanation:

From the given question, the proof can be completed as;

Statement                                          Reason

1. <2 and < 1 are complementary     (47)  c. given

   <3 and <1 are complementary

2. m<2 + m<1 = [tex]90^{o}[/tex]                             (48) b. definition of complementary angles

   m<3 + m<1 = [tex]90^{o}[/tex]

3. m<2 + m<1 = m<3 + m<1                 3. Substitution property

4. (49)  a, m<2 = m<3                         4. Subtraction property

5. <2 ≅ <3                                           (50) d. definition of congruent angles

Therefore,

(47)  c. given

(48) b. definition of complementary

(49)  a, m<2 = m<3

(50) d. definition of congruent angles

Answer:

240 [tex]inches^{2}[/tex]

Step-by-step explanation:

11 + 1 = 12

19 + 1 = 20

12 x 20 = 240

Answer:

68

Step-by-step explanation:

Total mile cycled, d(t) ;

d(t) = 12t + 20

At d(4)

t = 4 ;

We have;

d(4) = 12(4) + 20

d(4) = 48 + 20

d(4) = 68

After, 4 hours of cycling, Joanna cycled a total distance of 68 miles

Step-by-step explanation:

Hey there!

Given function is f(X) = 11x+7.

Let f(X) be y.

So, y = 11x+7

Interchanging"X" and "y" we get;

X = 11y+7

or, X-7 = 11y

or, y = (x-7)/11

Therefore {f}^{ - 1} (x) = \frac{x - 7}{11} [/tex]

Hope it helps!

Answer:

Following are the solution to the gvien question:

Step-by-step explanation:  

Let the quadratic equation is:

[tex]\to h(x) = (x + 1)^2 - 4[/tex]

vertex is:

[tex]\to h(x) = a(x -h)^2 + k[/tex]

(h) = axis of symmetry

(h,k) = vertex.

By using the given equation:

[tex]h(x) = (x - (-1))^2 - 4[/tex]

Hence,

[tex]h = -1 \\\\ k = -4[/tex]

line of symmetry [tex]x = -1[/tex]  

vertex is [tex](h,k) = (-1,-4)[/tex]

finding the x intercept:

 [tex](x + 1)^2 = 4\\\\\sqrt{(x + 1)^2} = \sqrt{4}\\\\x + 1 = \pm 2\\\\x = 2-1 \ \ \ \ \ \ \ \ \ \ or \ \ \ \ \ \ \ \ \ \ \ \ \ \ x =-2 -1\\\\x = 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ or \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x =-3\\\\[/tex]

x -intercepts -3,1

Calculating the y-intercept when x = 0 putting into the real equation:

[tex]h(x) = (0 +1)^2 - 4 \\\\y = 1 - 4\\\\y = -3[/tex]

Please find the graph file in the attachment.

Answer:

where is the figure

Step-by-step explanation:

u should upload the figure too