Find the product. Simplify.
(a + 1)(a –5)=

Answer:

The answer is B

Step-by-step explanation:

The reason for this is that for every hour, the person earns another $7.25. In 2 hours, this is $14.50, and at the 2 hour mark, only chart B is at that y-coordinate.

Answer:

{-6,-5} and {5,6}

Step-by-step explanation:

let me know if this is what you are looking for :)

Hello. I hope this helps!

Let's set up an equation for this.

1st table = 83 cm

2nd table = 90 cm OR 0.9 m

3rd table = x

Total length = 250

Equation:

83 + 90 + x = 250

Now we'll solve the equation.

83 + 90 + x = 250

173 + x = 250

x = 250 - 173

x = 77 cm

Answer:

A. F(x)is an even function so both ends of the graph go in the same direction.

D. The leading coefficient is negative so the left end of the graph goes down.

Step-by-step explanation:

Even function:

For every value of x, f(x) = f(-x)

In this question:

We are given the following function:

[tex]f(x) = -4x^6 + 6x^2 - 52[/tex]

Testing if it is even:

[tex]f(1) = -4(1)^6 + 6(1)^2 - 52 = -4 + 6 - 52 = -50[/tex]

[tex]f(-1) = -4(-1)^6 + 6(-1)^2 - 52 = -4 + 6 - 52 = -50[/tex]

Since f(1) = f(-1), it is even.

Since it is even, both ends of the graph go in the same direction, so option A is correct, while option B is wrong.

Options C and D:

The leading coefficient, is -4(which multiplies x with the highest exponent). Since it is negative, it goes to negative infinity as x increases, that is, the left end goes down, and option D is correct while C is not.

Answer:

Answer it is D Got it

Step-by-step explanation:

Answer:

Options (1), (2), (3) and (4)

Step-by-step explanation:

By applying the sine and cosine rules in the given triangle,

sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

cos(30°) = [tex]\frac{AC}{AB}[/tex]

              = [tex]\frac{11\sqrt{3} }{22}[/tex]

              = [tex]\frac{\sqrt{3}}{2}[/tex]

sin(30°) = [tex]\frac{BC}{AB}[/tex]

             = [tex]\frac{11}{22}[/tex]

             = [tex]\frac{1}{2}[/tex]

cos(60°) = [tex]\frac{BC}{AB}[/tex]

              = [tex]\frac{11}{22}[/tex]

              = [tex]\frac{1}{2}[/tex]

sin(60°) = = [tex]\frac{AC}{AB}[/tex]

              = [tex]\frac{11\sqrt{3} }{22}[/tex]

              = [tex]\frac{\sqrt{3}}{2}[/tex]

Options (1), (2), (3) and (4) are the correct options.

Answer:

1.875 commercials a minute

Step-by-step explanation:

Answer:

7.8

Step-by-step explanation:

We can use pythagorean theorem [tex](a^2+b^2=c^2)[/tex] where a and b are sides of a right triangle and c is the hypotenuse.

[tex]x^2+13.3^2=15.4^2[/tex].

[tex]x^2=15.4^2-13.3^2\\[/tex]

[tex]x^2=237.16-176.89\\x^2=60.27\\x=7.763[/tex]

Rounded to the nearest tenth, x = 7.8

Answer:

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Answer: = 40 . 24

Step-by-step explanation:

A triangular prism. The rectangular sides are 24 feet by 40 feet, 40 feet by 15 feet, and 40 feet by 15 feet. The triangular sides have a base of 24 feet and height of 9 feet.

2,001 square feet

2,376 square feet

2,592 square feet

4,320 square feet

Answer: b.

Step-by-step explanation: A triangular prism is the one which has 3 rectangular sides and 2 triangular sides. To find the surface area of a triangular prism, we have to find the surface area of 3 rectangular side and 2 triangular sides and add them up

Surface Area (rectangle) = Length · Width

Surface Area (triangle) = (1/2)(Base)(Height)

Rectangular side 1:

Length = 40 ft

Width = 24 ft

Surface Area = 40 · 24

Surface Area = 960ft

Rectangular side 2:

Length = 40 ft

Width = 15 ft

Surface Area = 40 · 15

Surface Area = 600ft

Rectangular side 3:

Length = 40 ft

Width = 15 ft

Surface Area = 40 · 15

Surface Area = 600ft

Triangular side 1:

Base = 24 ft

height = 9 ft

Surface Area = (1/2)(24)(9)

Surface Area = 108ft

Triangular side 2:

Base = 24 ft

height = 9 ft

Surface Area = (1/2)(24)(9)

Surface Area = 108ft

SURFACE AREA OF TRIANGULAR PRISM:

Add all surface areas found above

Surface area = 960 + 600 + 600 + 108 + 108

Surface area = 2376ft

Answer:

4

Step-by-step explanation:

29x5=145

= 145 (divided) 46= 3.15...

4 buses

Answer:

If the interval is 1 < x < 3, then you are examining the points (1,4) and (3,16). From the first point, let a = 1, and f (a) = 4. From the second point, let b = 3 and f (b) = 16. The average rate of change is 6 over 1, or just 6.

The average rate of change is [tex]\frac{6}{25}[/tex]

'When we calculate average rate of change of a function over a given interval, we’re calculating the average number of units that the function moves up or down, per unit along the x-axis. We could also say that we’re measuring how much change occurs in our function’s value per unit on the x-axis.'

According to the given problem,

Rate of change formula = [tex]\frac{f(b) - f(a)}{b-a}[/tex]

y = log3x

⇒ a= 1

   b= 3

Therefore,

⇒ [tex]\frac{log(3*3) - log(3*1)}{3-1}[/tex]

⇒ [tex]\frac{log9 - log3}{2}[/tex]

⇒[tex]\frac{1}{2}[/tex] log[tex](\frac{9}{3})[/tex]

⇒ [tex]\frac{1}{2}[/tex] * log 3

⇒ [tex]\frac{6}{25}[/tex]

Hence we can conclude the rate of change as [tex]\frac{6}{25}[/tex]

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Answer:

25ft

Step-by-step explanation:

You take the bigger length of the two triangles and divide by the the smaller length of the smaller triangle. This is what the equation would look like:

30/6=5

Then you multiply 5 to the height of the smaller triangle and you got the height for the bigger triangle:

5 x 5=25

I hope this helped you!

Answer:

C and D

Step-by-step explanation:

I would chose this because the square will have all sides of 3 since all the sides are the same size it classifies as a square. Then a right triangle looking at the shape you would have left.

A rectangle is a four sided polygon having all the internal angles equal to 90 degrees. The shape given below can be decomposed into two figures, they are rectangle and right triangle. The correct options are A and D.

The trapezium is defined as a quadrilateral with one pair of parallel opposite sides. The parallel sides of a trapezium are called the bases and the non-parallel sides of a trapezium are known as legs. It is also called as the trapezoid.

A trapezium is a closed shape which has four sides and four angles. Anyone pair of opposite sides of a trapezium are parallel to each other. If the legs are of equal length, then it is called the isosceless trapezium.

A triangle in which one of its interior angles is equal to 90 degrees or any one angle is a right angle is the right triangle.

Thus the correct options are A and D.

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Answer:

-5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Number of total arrangement of beads = 2,520

Step-by-step explanation:

Given:

Number of beads in necklace = 8 beads

Find:

Number of total arrangement of beads

Computation:

Changing beads is a cyclic permutation,

So,

Formula to find number of total arrangement in cyclic permutation

(n-1)!/2 , where n = number of item

So,

(n-1)!/2

Number of total arrangement of beads = (8-1)!/2

Number of total arrangement of beads = (7)!/2

Number of total arrangement of beads = (7 x 6 x 5 x 4 x 3 x 2 x 1) / 2

Number of total arrangement of beads = 5,040 / 2

Number of total arrangement of beads = 2,520

Answer: 10 quarters, 5 dimes.

Explanation:

10 x .25 = 2.50

5 x .10 = .50

2.50 + .50 = 3.00

Answer:

i think it's A but I'm not to sure

Step-by-step explanation:

don't count my word for it just here with a geuss

Answer:

From the table, Riley is moving forward on the interval [0,1.5].

I takes Riley 6 seconds to swing forward, back, and then return to her starting position.

Riley reaches a maximum distance of 38.9 inches from her starting position.

Step-by-step explanation:

PLATO/Edmentum

The blanks in the given statements can be filled as [0,1.5], 3 seconds, and 55 inches, respectively.

Mathematical tables are collections of numbers that display the outcomes of calculations made using various inputs.

Given that in the table the position of Riley with respect to time. Also, If her position is ahead of its initial position it is positive, while if she is behind her initial position it is negative.

Now as per the table, the statements can be completed as,

Hence, the blanks in the given statements can be filled as [0,1.5], 3 seconds, and 55 inches, respectively.

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Answer:

C or d

Step-by-step explanation:

kinetic energy is the energy a body possesses due to its motion because it is energy, kinetic energy it expresses the unit of joules. Velocity is very similar to speed. The difference is that Velocity is the speed in the given direction

Answer:

-20

Step-by-step explanation:

i used a percentage calculator

9514 1404 393

Answer:

  (b)  1.4"

Step-by-step explanation:

A 2.8" circle is one that has a diameter of 2.8". The divider will be set to the radius, which is half the diameter.

The divider is set to 1.4".

Answer:

15cookies

Step-by-step explanation:

Complete question:

Mrs Tay baked 45 cookies. She gave 1/3 of them to her friends. How many cookies did she give her friends?

Given the following

Total cookies = 45 cookies

Fraction of cookies given = 1/3

Amount she gave her friends= 1/3 * 45

Amount she gave her friends= 45/3

Amount she gave her friends= 15cookies

Hence she gave 15cookies to her friends

Answer:

A

Step-by-step explanation:

y+5<8

Subtract 5 from each side

5+5-5 <8-5

y<3

Since there is no equals sign, there is an open circle at 3

y is less than so the line goes to the left

Choice A

Answer:

Plot these points

(-3,0)

(-5,0)

(-4,1)

(-2,-3)

(-6,-3)

Step-by-step explanation:

Let find the zeros of the equation.

We can factor this equation.

Factor out the -1.

[tex] - 1( {x}^{2} + 8x + 15)[/tex]

Factor using AC method

[tex] - 1(x + 3)(x + 5)[/tex]

Set all the terms equal to zero.

[tex]x + 3 = 0[/tex]

[tex]x + 5 = 0[/tex]

[tex]x = - 3[/tex]

[tex]x = - 5[/tex]

So our x intercepts are -3,0 and -5,0.

To find our vertex, apply the -b/2a.

[tex] \frac{8}{ - 2} = - 4[/tex]

Then

Substitute-4 for x.

[tex]y = - {4}^{2} - 8( - 4) - 15 = 1[/tex]

So our vertex is at (-4,1).

Find some other points like -2 and -6.

To find -2, substitute-2 into the quadratic.

[tex]y = - ( { - 2}^{2}) - 8( - 2) - 15 = - 3[/tex]

So -2,-3.

Since y=-4 is the axis of symmetry

-6,-3

The 5 points which satisfies the quadratic equation y = −x² − 8x − 15 is

( -5 , 0 ) ( -1 , -8 ) , ( -2 , -3 ) , ( 4 , 1 ) , ( -3 , 0 ) and the vertex point is ( 4 , 1 )

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

y = −x² − 8x − 15

On simplifying the equation , we get

y = -1 ( x² + 8x + 15 )

On factorizing the equation , we get

y = -1 ( ( x + 5 ) ( x + 3 )

So , the 2 values for x is -5 , -3

So , the two points are ( -5 , 0 ) and ( -3 , 0 )

The vertex will be -b/2a

Substituting the values in the equation , we get

The vertex = -8/2 = -4

So , when x = -4

y =  -1 ( ( x + 5 ) ( x + 3 )

y = -1 ( 1 x -1 )

y = 1

So , the vertex is at the point ( 4 , 1 )

Now , when x = -1

y = -1 ( ( x + 5 ) ( x + 3 )

y = -1 ( 4 x 2 )

y = -8

So , the point is ( -1 , -8 )

Now , when x = -2

y = -1 ( ( x + 5 ) ( x + 3 )

y = -1 ( 3 x 1 )

y = -3

So , the point is ( -2 , -3 )

Hence ,

The 5 points which satisfies the quadratic equation y = −x² − 8x − 15 is

( -5 , 0 ) ( -1 , -8 ) , ( -2 , -3 ) , ( 4 , 1 ) , ( -3 , 0 ) and the vertex point is ( 4 , 1 )

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Answer:

106 - 8h = 34

Whenever a math question says "when h = 9," they mean you substitute this number where h is in the equation.

106 - 8(9) = 34

106 - 72 = 34

34 = 34

This means the fact that h = 9 is a solution for h.

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Answer:

r = 3.42

Step-by-step explanation:

the equation for volume is V = pi r^2 h

550 = 3.14 r^2 15

36 2/3 = 3.14 r ^2

11.6772824 = r^2

3.41720389 = r

r = 3.42

Answer:

3.42

Step-by-step explanation: