Evaluate 2a^2-b^3 for a = 4 and b=-3​

Answer:

Step-by-step explanation:

Angle AOB and BOC create a complementary angle. This means when two angles sum up to 90°. We can write an equation for this problem;

(x + 8) + 2x = 90

~Remove parenthesis

x + 8 + 2x = 90

~Combine like terms

3x + 8 = 90

~Subtract 8 to both sides

3x = 82

~Divide 3 to both sides

x = 82/3 or x = 27 1/3

Use what have for x to solve for the angle measures.

Angle AOB:

x + 8

(27 1/3) + 8

35 1/3°

Angle BOC:

2x

2(27 1/3)

54 2/3°

Check.

35 1/3 + 54 2/3 = 90°

Best of Luck!

Answer:

Step-by-step explanation:

[tex]\frac{k}{4} + 3 = 14[/tex]

Subtract 3 from both sides

[tex]\frac{k}{4} = 14 - 3 \\\frac{k}{4} = 11[/tex]

Multiply both sides by 4 to find k.

k = 11 x 4 = 44

Answer:

x = 10

Step-by-step explanation:

8x + 14 = 6x + 34  (vertically opposite angles are equal)

Rearrange

2x = 20

x = 10

Answer:

x=10

Step-by-step explanation:

So we know that they are equal to each other.

so 6x+34=8x+14

-6x

34=2x+14

-14

20=2x

/2

x=10

Answer:

Compound: -2≤X<5

Conjunction: ≤ or <

Step-by-step explanation:

When the dot is filled it is a ≤ or ≥

When the dot isn't filled its a < or >

-4 is on the left and 5 is on the right

Answer:

y = -x + 9

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

(0, 9) y-intercept

(9, 0) x-intercept

Step 2: Find slope m

[tex]m=\frac{0-9}{9-0}[/tex]

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

[tex]m=-1[/tex]

y = -x + b

Step 3: Write linear equation

y = -x + 9

Answer:

y = -x + 9

Step-by-step explanation:

Slope Formula:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

(0, 9) y-intercept

(9, 0) x-intercept

Step 2: Find slope m

y = -x + b

Step 3: Write linear equation

y = -x + 9

Answer:

-47

Step-by-step explanation:

Answer:

-4 - 32i

Step-by-step explanation:

Got it right on the test

Answer:

undefined

Step-by-step explanation:

I don't know if it's correct or not. But hope it is

Answer:

-7

Step-by-step explanation:

The slope is y/x and y in this case equals -7 while x is +1 so it's -7/1 or just -7

Answer:

[tex]\left\{\begin{matrix}3x+4y+8z=36.65\\ 5x+3y+10z=37.50\\ 4x+5y+6z=43.35\end{matrix}\right.[/tex]

Step-by-step explanation:

System of equations

Let's set the following variables:

x=Price of chocolate pumpkins

y=Price of masks

z=Price of candy witches

We'll establish the system of equations needed to know the prices of all the Halloween treats.

Cory bought 3 chocolate pumpkins, 4 masks, and 8 candy witches and he spent $36.65. This leads to the following equation:

[tex]3x+4y+8z=36.65\qquad\qquad [1][/tex]

Josh bought 5 chocolate pumpkins, 3 masks, and 10 candy witches and he spent $37.50. This leads to the following equation:

[tex]5x+3y+10z=37.50\qquad\qquad [2][/tex]

Dan bought 4 chocolate pumpkins, 5 masks, and 6 candy witches and he spent $43.45. This leads to the following equation:

[tex]4x+5y+6z=43.35\qquad\qquad [3][/tex]

Collecting the equations [1] [2] [3], we form the system of equations to represent this problem:

[tex]\left\{\begin{matrix}3x+4y+8z=36.65\\ 5x+3y+10z=37.50\\ 4x+5y+6z=43.35\end{matrix}\right.[/tex]

how to find slope

its not that clear for me to solve but i can tell you how to solve and you fill the numbers in... sry

(x1,y1) (x2,y2) - find two different points

y2-y1/x2-x2=slope of the line

or

to find it you can do the rise divided by the run

im sry if this doesnt help :(

9514 1404 393

Answer:

  -2/3

Step-by-step explanation:

First, you find places where the graphed line crosses grid intersection points. One obvious choice is the point (0, 0), since the line goes through the origin. (Here, we wanted to avoid interference with our notations by the axis labels, so we chose points away from the origin.)

Then, you draw a right triangle with the two points you found as ends of the hypotenuse. Use grid lines for the legs of the triangle. For purposes of "rise" and "run", it is convenient to draw the triangle to the right of the graphed line.

The "rise" is the vertical distance between the grid crossings. In this graph, that is -2 units. The sign is negative because the right-most point is below the left-most point.

The "run" is the horizontal distance between grid crossings. In this graph, that is 3 units. If you have drawn the triangle to the right of the graphed line, that will be +3 units.

So, the slope is the ratio of "rise" to "run":

  m = rise/run = slope = -2/3

Answer:

The cost of the other ride Jacob took = $22

The amount Mariah spends on the photo boot with Jacob = $5

Step-by-step explanation:

The given information are;

Whereby the question states that amount Mariah and Jacob each have to spend = $35

The amount Jacob spends on the first ride = $13

The amount Mariah spends on the 3 cup cakes = $10

The amount Mariah spends on the photo boot with Jacob = $5

Let the cost of the other ride Jacob took = R

Given that Jakob spent all his available money at the fair, we have;

35 = 13 + R

R = 35 - 13

R = $22

Therefore, the cost of the other ride Jacob took = R = $22

The amount Mariah spends on the photo boot with Jacob = $5.

Answer:

A

Step-by-step explanation:

Given

6 ([tex]\frac{x}{2}[/tex] + 4) ≥ 9 ( distribute the parenthesis by 6 )

3x + 24 ≥ 9 ( subtract 24 from both sides )

3x ≥ - 15 ( divide both sides by 3 )

x ≥ - 5 → A

Answer:

A

Step-by-step explanation:

First, divide both sides by 6:

6(x/2 + 4) ≥ 9

x/2 + 4 ≥ 9/6

x/2 + 4 ≥ 3/2

Now, subtract 4 from both sides:

x/2 ≥ 3/2 - 4

x/2 ≥ -5/2

Finally multiply both sides by 2:

x ≥ (-5/2) * 2

x ≥ -5

The answer is thus A.

~ an aesthetics lover

Answer:

EFGH

(-1, 1)

(-1, 2)

(2, 2)

(1, 1)

Step-by-step explanation:

if Both rotating in the same way, then EfGH is gonna go the other way. (sorry if its wrong, i'm learning this too)

Answer:

x=35 degrees

y=85 degrees

Step-by-step explanation:

2x+25=3x-10

x=35

2*35+25=95

180-95=85

Answer:

y=85

Step-by-step explanation:

2x+25 and 3x-10 are reflexive angles, which means they are equal.

First, we must find [tex]x[/tex]. We can do [tex]2x+25&=3x-10[/tex], x=35. We can now do [tex]2\cdot(35)+25=70+25=95[/tex]. There are 180 degrees on that line, which means that [tex]y=180-95=85.[/tex]

Answer:

16.1 mph is your rate

Step-by-step explanation:

Answer:

16.1 per hour

Step-by-step explanation:

just divide the mile by the hours.

64.4 / 4

Step-by-step explanation:

1/4 / 2/3

= 1/4÷2/3

= 1/4 ×3/2 ( reciprocal 2/3)

=3/8

this is the answer

Answer:

its answer C 2.1%

Step-by-step explanation:

Answer:

y = 2/3x + 4

Step-by-step explanation:

Answer:

$14

Step-by-step explanation:

Answer:

$42.80    check

   x.20     tip

 $8.56

Then add the the total check $42.80 +$8.56 = $51.36 John will spend

Step-by-step explanation:

to find the tip multiply the total by the tip

if 10%  x it by .10

if 16%  x it by .16

if 25 % x it by.25 and so on then add that to the total of the bill

Answer:

See below.

Step-by-step explanation:

Divide to turn the percentage into decimal form.

[tex]\frac{20}{100} =.20[/tex]

Multiply the percentage by the amount.

[tex]42.80*.20=8.56[/tex]

Add them together.

[tex]42.80+8.56=51.36[/tex]

Answer: [tex]51.36[/tex]

:)

Answer:

slope: 1

y-intercept : (0, -4)

Step-by-step explanation:

hope this helps! :D

Answer:

x-intercept(s): (4,0)

y-intercept(s): (0,-4)

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

Answer:

350 kilometers

Step-by-step explanation:

The legend states that 1 cm = 50 km

So if you do 7cm times 50

7 × 50 = 350

Answer:

The correct choices would be A, C, D & F. Correct me if I'm wrong :)

Answer:

uhm well I'm not sure what you mean by algorithm but just think it like this :

Step-by-step explanation:

think of 1/4 as a quarter and it says the negative

so -.25

Answer:

swing state

noun

a US state where the two major political parties have similar levels of support among voters, viewed as important in determining the overall result of a presidential election.

Step-by-step explanation:

Answer:

The instantaneous velocity of the eagle at the given time is  7.5 m/s.

Step-by-step explanation:

Given;

height of the cliff, h = 125 m

the height at which the eagle is flying, h(t) = 125 + 1.25t²

The velocity of the eagle is given by;

v = dh/dt

v = 2.5t

The instantaneous velocity of the eagle at t = 3 seconds is given by;

v = 2.5(3)

v = 7.5 m/s

Theerefore, the instantaneous velocity of the eagle at t = 3 seconds is  7.5 m/s.

Answer:

[tex]g(x) = (x-a,-y - b)[/tex]

Step-by-step explanation:

Given

Represent f(x) as follows:

[tex]f(x) = (x,y)[/tex]

Transformations:

Horizontally shifted right by a

Reflected across x axis

Vertically shifted down by b

Taking the transformations one after the other.

Horizontally shifted right by a

When a function is shifted right, the resulting function is:

[tex]f' = (x-a,y)[/tex]

Reflected across x axis

Here, the x axis remains unaltered while the y axis is negated

[tex]f' = (x-a,y)[/tex]

becomes

[tex]f" = (x-a,-y)[/tex]

Vertically shifted down by b

When a function is shifted down by b, the resulting function is:

[tex]f"' = f" - b[/tex]

i.e, subtract b from the function (f(x) or y, as the case may be)

So, we have:

[tex]f"' = (x-a,-y - b)[/tex]

Represent f"' with g(x)

[tex]g(x) = (x-a,-y - b)[/tex]

Answer:

b. 2x - y = 5

you are able to change the equation to y = 2x -5. this is then in the form of y = mx + b.

m = slope and b = y-intercept

m = 2 and b = -5

Answer

d. x - 2y = 10

Step-by-step explanation:

The answer you chose does have the correct y intercept, but the incorrect slope, it was asking for a slope of 1/2, not a slope of -2.

REMEMBER: The y intercept is when x = 0, the x intercept is when y = 0.

To find the y intercept, substitute 0 for x, and solve for y. The slope is the coefficient of x when the coefficient of y is 1.

Just convert this standard form equation into slope intercept.

Standard Form: Ax + By = C.

Slope Intercept: y = mx + b. (m is the slope, b is the y intercept)

To convert just get y by itself completely on the left side of the equation. (y has to have a coefficient of positive 1)

x - 2y = 10

-x -x

-2y = -x + 10

÷2 ÷2 ÷2

-y = -1/2x + 5

×-1 ×-1 ×-1

y = 1/2x - 5 → y = mx + b

m = 1/2, and b = -5

The length of each side of the square garden is 3ft.

A square is a quadrilateral with four equal straight sides and four right angles.

To find the area of a square garden, multiply two equal sides.

The area is the space of a two-dimensional line.

To find the length of each side of a square garden, compute the squared root of the area.

Area of the square garden = 9 ft

Length of each side = √9

= 3 feet

Thus, each side of the garden has 3 ft.

Learn more about the area, length, and width at https://brainly.com/question/25292087

#SPJ1

Answer:

The answer is choice 2 and 3, that is "The quotient has a final decimal and the whole number is less than 11".

Step-by-step explanation:

The product of a ratio: amount (r) over other(s) (variance from 0) becomes mandatory to note this quotient and in the following case Thus q is = 0.0882352941.

[tex]\to \frac{81}{918}= 0.0882352941[/tex]

It wasn't a repeating decimal, however a final decimal, so it's got an end.

Its quotient may be less than 11 in total.

Numbers of W = {0,1,2, ...} and 0 < 11 are provided for this entire series of data therefore It's real .

Answer:

a

Step-by-step explanation: