The sum of the cube of a number and two times the number

Answer:

b and 59° are vertical angles so they are equal.

b=59°

Answer:

1/4

Step-by-step explanation:

There are 36 possible combinations.  Of those 36, the ones that add up to either 6 or 9 are:

1+5, 2+4, 3+3, 4+2, 5+1, 3+6, 4+5, 5+4, 6+3

There are 9 combinations that add up to either 6 or 9.  So the probability is 9/36, or 1/4.

Answer:

g(-3)=3

Step-by-step explanation:

Answer:

x = -15

Step-by-step explanation:

3×+34-×=4

2×+34=4

2×+34-34=4-34

2×=4-34

2×= -30

2×/2=-30/2

×= -15

Answer:

The function in the vertex form is y = (x + 2.5)² - 15.25

Step-by-step explanation:

The vertex form of the quadratic function y = ax² + bx + c is:

y = a(x - h)² + k, where

∵ The given function is y = x² + 5x - 9

∴ a = 1, b = 5, c = -9

→ Use a and b to find h

∵ h = [tex]\frac{-b}{2a}[/tex]

∴ h = [tex]\frac{-5}{2(1)}=-2.5[/tex]

∴ h = -2.5

→ Find y at x = -2.5

∵ y = (-2.5)² + 5(-2.5) - 9 = 6.25 - 12.5 - 9

∴ y = -15.25

∴ k = -15.25

→ Substitute a, h, k in the vertex form above

∴ y = 1(x - -2.5)² + -15.25

∴ y = (x + 2.5)² - 15.25

The function in the vertex form is y = (x + 2.5)² - 15.25

Answer: 8.5

Step 1: Multiply by 6 until you reach 51.

6 x 8 = 48.

Step 2: Subtract.

51 - 48 = 3.

Step 3: Convert 3/6 to decimal.

3/6 = .5

Answer = 8.5 times larger

Answer: 8.5

Step-by-step explanation:

Answer:

0, 10, 8, 2

Step-by-step explanation:

Answer:

0 10 8 2

Step-by-step explanation:

edg 2021

The equation of the line showing the slope of -3 is represented by the fourth graph in the image. The correct option is D.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.

The line is passing through the points ( 0,0) and (1,-3). The slope of the line is calculated by using the formula below:-

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( -3 -0 ) / ( 1 - 0 )

Slope = -3

Therefore, the equation of the line showing the slope of -3 is represented by the fourth graph in the image. The correct option is D.

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Answer:

66

Step-by-step explanation:

Given that:

Total Number of books = 4356

Number of books in a row = number of rows

Let number of rows = b

Then number of books in each row = b

Total number of books = (number of rows * number of books per row

Hence,

4356 = b * b

4356 = b²

Take the square root of both sides

Sqrt(4356) = b

66 = b

Number of books in each row = 66

Answer:

The transformation is " a horizontal translation 4 units to the right " ⇒ (d)

Step-by-step explanation:

Let us revise the translation of a function

Let us look at the graph and choose some points on the f(x) and find their images on y

∵ Point  (1, 2) lies on f(x)

∵ Point (5, 2) lies on y

∵ Point  (3, 8) lies on f(x)

∵ Point (7, 8) lies on y

→ There is no change in the y-coordinates of the points, the change

  only in the x-coordinates

∴ The translation is horizontally

∵  5 - 1 = 4 units ⇒ positive value means to right

∴ f(x) is translated 4 units to the right

∴ The answer is " a horizontal translation 4 units to the right " (d)

Answer:

The answer is $88

Step-by-step explanation:

The Math.random () function returns a floating-point, pseudo-random number in the range 0–1 (inclusive of 0, but not 1) with approximately uniform distribution over that range — which you can then scale to your desired range.

Answer:

Go to desmos graphing calculator and put your equation in and it will graph it for you I used it for my math questions like this

Step-by-step explanation:

HOPE THAT HELPS YOU

Answer:

X increasing by one and Y decrasees by 2

The correct relation between x and y is [tex]y=x-2[/tex].

Given information:

The table showing the values of x and y is:

x    1    2    3    4

y    -1   0    1     2

From the given table, it can be seen that with an increase in the value of x, the value of y also increases.

From the values of y, it can be seen that y increases by 1 unit with a unit increase in x.

The relation between x and y can be written as,

[tex]y=x-2\\y(1)=1-2\\y(1)=-1[/tex]

Therefore, the correct relation or equation between x and y is [tex]y=x-2[/tex].

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Answer:

12

Step-by-step explanation:

AD: AC=3:6, so the ratio is 1:2

AC:AB=6: AB, AB=12

Answer:

6

Step-by-step explanation:

Answer: The answer is that the office printer prints faster and it can print 30 photos in 15 minutes.

Step-by-step explanation:

I know this ain't wrong for a fact.

The first day = 3x

The second day = x

The third day = 2x

720 = 3x + x + 2x

Combine like terms.

720 = 6x

Divide both sides by 6

120 = x

The first day = 3x = 3(120) = 360 miles

The second day = x = 120 miles

The third day = 2x = 2(120) = 240 miles

9514 1404 393

Answer:

  (a) 90°, 90°

  (b) 5, 1

  (c) 10°, 20°

  (d) 10°, 20°, 150°

Step-by-step explanation:

You need to consider ways in which each statement might not apply.

(a) An obtuse angle is greater than 90°. If both angles are 90°, then neither is obtuse.

  counterexample: m∠1 = 90°, m∠2 = 90°

__

(b) If the perimeter is 12, the sum of the side lengths must be 6. There are many ways to get two numbers that have a sum of 6. Here's one:

  counterexample: length = 5, width = 1

__

(c) All that is required is that the sum of angles be 30°. They don't have to be equal.

  counterexample: m∠ABC = 10°, m∠CBD = 20°

__

(d) We know the three angles of a triangle have a sum of 180°, but that does not require it to be an acute triangle. A triangle can also be right or obtuse.

  counterexample: m∠P = 10°, m∠Q = 20°, m∠R = 150°

Answer:

Step-by-step explanation:

ok you have to find which one by

one i mean ( C or L ) DESCRIBES the best

( C ) that is library and u have to find out wut is ( L )

Answer:

8.74(5)+3.50=47.20

Step-by-step explanation:

She earns $47.20 that day

$51.57 is the amount emelia's job pay in a day when she works 5 and a half hours

An expression is combination of variables, numbers and operators.

Given emelia earns $8.74 per hour plus a gas allowance of $3.50 per day at her job

We need to find how much does emelia's job pay in a day when she works 5 and a half hours

Let us write the given data in the form of expression.

8.74x+3.50

Now for 5 and half hours we have to calculate

8.74(5.5)+3.50

48.07+3.50

51.57

Hence, $51.57 is the amount emelia's job pay in a day when she works 5 and a half hours

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Answer:

-50

Step-by-step explanation:

Luckily for us this one is very simple.

(-5)(10) can also be written as [tex]-5*10[/tex] or with any other multiplicative operator (a symbol that represents multiplication). So this becomes very simple multiplication.

We know that when we multiply a positive number by a negative, the result will be negative - and we also know that 5 times 10 is 50. So our result will be: [tex](-5)(10) = -50[/tex]

Answer:

18 tons

Step-by-step explanation

First you need to know that 1 ton is 2,000 pounds. Ok so if you do the 4,000 pounds times the 9 cars you get 36,000 pounds in total and then you can divide by 2,000 and you get 18 so it is 18 tons.

Answer:

  y = 4.625

Step-by-step explanation:

Subtract 16.4 from both sides and collect terms.

  8.4 -6.8 -16.4 = -3.2y +16.4 -16.4

  -14.8 = -3.2y

Divide both sides by -3.2.

  -14.8/-3.2 = (-3.2y)/-3.2

  4.625 = y

The solution is y = 4.625.

Answer:

y=4.625

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Consider we need to find the equation of ellipse.

Given:

Ellipse is centered at the origin.

Major axis is horizontal, with length 8.

The length of its minor axis is 4.

To find:

The equation of ellipse.

Solution:

Major axis is horizontal, so standard form of ellipse is

[tex]\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1[/tex]       ...(i)

where, (h,k) is center of the ellipse and length of major axis is 2a and length of minor axis is 2b.

Ellipse is centered at the origin. So, h=0 and k=0.

Major axis is horizontal, with length 8.

[tex]2a=8[/tex]

[tex]a=4[/tex]

The length of its minor axis is 4.

[tex]2b=4[/tex]

[tex]b=2[/tex]

Substitute h=0, k=0, a=4 and b=2 in equation (i).

[tex]\dfrac{(x-0)^2}{4^2}+\dfrac{(y-0)^2}{2^2}=1[/tex]

[tex]\dfrac{x^2}{16}+\dfrac{y^2}{4}=1[/tex]

Therefore, the required equation of ellipse is [tex]\dfrac{x^2}{16}+\dfrac{y^2}{4}=1[/tex].

Answer:

Step-by-step explanation:

31,560,000 = 3.156 x 10^7