G = 3t2 - 5t + 6
P = -8t2 + 7t - 9
G + P =
Your answer should be a polynomial in standard form.

Answer:

1- Inverses .

2 - Not inverses.  

Step-by-step explanation:

Notice that

1 -

[tex]f(g(x))= 3/(3/x) = (3x)/3 = x[/tex]

Since their composition is the identity, then they are inverses.

2 -

[tex]f(g(x)) = ((-x+4)+4) = -x+8[/tex]

Since their composition is not the identity, then they are not inverses.

Answer:

20 cm

Step-by-step explanation:

Area of a triangle is base x height/2, so in this case its 5x8/2 which is 40/2 therefor making the answer 20

Answer:

[tex]\sqrt[4]{10x2}[/tex]

Answer:

⁴√10√x

Step-by-step explanation:

⁴√5x*⁴√2x

⁴√5x = ⁴√5⁴√x

=⁴√5 ⁴√x⁴√2x

⁴√2x = ⁴√2⁴√x

=⁴√5⁴√2⁴√x⁴√x

⁴√x⁴√x = x1/4x1/4 = x1/4+1/4

=⁴√5⁴√2⁴x1/4+1/4

1/4+1/4 = 1/2

=⁴√5⁴√2⁴√x

⁴√5⁴√2⁴ = ⁴√5*2

=⁴√5*2√x

5*2 = 10

= ⁴√10√x

Answer:

A

Step-by-step explanation:

Answer:

-19

Step-by-step explanation:

12x - 6 + 6 = 10x - 40 + 2

12x - 10x = -40 + 2 + 6 -6

2x = -38

x = -38/2 = -19

The two truths are:

x is a negative number (x = -19)

x+5>x (if x is positive, is true; if x is negative, is also true)

The one lie is:

3x > 2x (if x is negative, the expression will be 3x < 2x)

Answer:

cos^-1(.17) is 1.40 in radian

Step-by-step explanation:

Given cos^-1(.17), the equivalent is 80.212

This is approximately 80.21°

Which is 1.40 in radian

Answer: 4,588.4 cubic centimeters.

Step-by-step explanation: 20 centimeters ⋅ 14 centimeters = 280 centimeters = 4588.38 cubic centimeters = 4,588.4 cubic centimeters.

Answer:

g(x) = 4x - 1

Step-by-step explanation:

Linear function in the format: g(x) = ax + b

g(2t) is a*(2t)+b

g(2t) = 8t - 1 means that:

when x = 2t, g = 8t - 1.

So

Equaling both sides

8t - 1 = a*2t + b

So

b = -1,

and

2a = 8, a = 8/2, a = 4

So

g(x) = 4x - 1

Answer:

6x + 3

Step-by-step explanation:

8x - 2x + 7 -4

Look at the attached picture

Hope it will be helpful to you..

Have a great day..

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Answer:

The discriminant of the equation is less than zero. The gymnast's hands do not reach a height of 11 feet

Step-by-step explanation:

The gymnast's hands does not reach a height of 11 feet above the trampoline.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is a[tex]x^{2}[/tex] + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

It is given that ,

h= [tex]-16x^{2} +12x[/tex]

11-6= [tex]-16x^{2} +12x[/tex]

5 = [tex]-16x^{2} +12x[/tex]

[tex]-16x^{2} +12x[/tex] -5=0

Comparing the above equation with the standard form of quadratic equation [tex]ax^{2} +bx+c=0\\[/tex]

we get ; a=-16, b=12, c=-5

Using Discriminant method

D= [tex]\sqrt[]{b^{2} - 4*a*c}[/tex]

  = [tex]\sqrt[]{(12)^{2} - 4* (-16)*(-5)}[/tex]

  = [tex]\sqrt[]{144-320}[/tex]

  = [tex]\sqrt[]{-176}[/tex]

Hence D<0, which means there is no real value.

So, the gymnast's hands does not reach a height of 11 feet above the trampoline.

Learn more about quadratic equation here:

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Answer:

Sin theta = -1/2

Step-by-step explanation:

pi < =theta <= (3pi)/2.

The above expression shows we are dealing with angle on the 3rd quadrant.

I.e greater than 180 but less than 270.

So sin tita = (√3)/2

But sin and cos are all negative in the third quadrant.

So tita = sin^-1(√3)/2

tita = 60°

Cos tita = cos 60

Cos tita = cos 60

Cos60 = 0.5

Cos 60 = 1/2

If

sin theta = -(sqrt(3))/2

Sin theta = -1/2

Answer:

okay

Step-by-step explanation:

2^3 times 3^2

Answer:

2^3*9

Step-by-step explanation:

72-9

8-2

4-2

2-2

1

Answer:

Step-by-step explanation:

It is convenient to compute the areas in terms of grid squares. Then those results can be converted to square meters by multiplying by the area of a grid square: (10 m)² = 100 m².

(a) The area of the school is the product of its side dimensions. The short side is (in terms of grid squares) ...

 W = √(1²+3²) = √10

The long side is ...

  L = √(2²+6²) = √40

Then the area is ...

  A = LW = (√40)(√10) = √400 = 20

The area of the school is 20 grid squares = 2000 m² . . . . . where s = 10 m

__

(b) The area of the museum is given by the formula ...

  A = πr² = π(3)² = 9π grid squares = 2827 m²

The area of the museum is 2827 m².

__

(c) Marci says the museum has a larger area than the school. She is correct.

Marci should win the debate.

Answer:

B and D

Step-by-step explanation:

10x^2 -vx [ has the highest power of X as 2 , so it is to degree 2].

6x^2 - 6x + 5[ has the highest power of x as 2; hence it is to degree 2]

Answer:

81.7 inches

Circumference = πd. where d is the diameter

22/7 * 26 = 81.7 inches

Answer:

1:3

Step-by-step explanation:

:))

1:3

15 / 15 = 1

45 / 15 = 3

So its 1:3

Answer:

[tex]\large \boxed{\text{12.8 m}^{2}}[/tex]

Step-by-st ep explanation:

Assume the room is like the image below.

The formula for the area of a trapezoid is  

A = ½(a + b)h,

where a and b are the lengths of the parallel sides and h is the distance between them.

Data:

a = 3.8 m

b = 2.6 m

h = 4    m

Calculation:

[tex]\begin{array}{rcl}A & = & \dfrac{1}{2}(a + b)h\\\\& = & \dfrac{1}{2}(3.8 + 2.6)\times 4\\\\& = & \dfrac{1}{2}(6.4) \times 4\\\\A & = & \dfrac{1}{2}\times25.6\\\\& = & \textbf{12.8 m}^{\mathbf{2}}\\\end{array}\\\text{The area of the room is $\large \boxed{\textbf{12.8 m}^{\mathbf{2}}}$}[/tex]

Answer:

Step-by-step explanation:

because , they determined as slope !

hope it helpful !

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Answer:

B

Step-by-step explanation:

The lines have equal slopes

-6/3= -2

And

-8/4 = -2 so both slopes are equal hence the lines are parallel

Answer:

7/20

Step-by-step explanation:

35/100 is simplified to 7/20. Here is another example with a different percentage. Change 25% to a fraction. 25/100 is simplified to 1/4

Answer:

a) (-1,0) and (3,0)

b) x=1

c) (1, -4)

Step-by-step explanation:

As you can see in the graph below, the x intercepts of this graph are at (-1,0) and (3,0), the axis of symmetry is x=1, and the vertex is at (1,-4). Hope this helps!

Greatest number of bricks Lynn can make is 10 and 4 pounds of the mixture will be washed out of the bucket

Pounds of water = 39

Pounds of brick dust = 48

Total mixture = 87 pounds

Mixture spilled = 13 pounds

Mixture remaining = 87 pounds - 13 pounds

= 74 pounds

Mixture in each brick holes = 7 pounds of mixture

Greatest number of bricks Lynn can make = Mixture remaining ÷ Mixture in each brick holes

= 74 pounds ÷ 7 pounds

= 10 remaining 4 pounds

Therefore,

Greatest number of bricks Lynn can make is 10 and 4 pounds of the mixture will be washed out of the bucket

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Answer: Greatest number lynn can make is 10 Bricks.

4 pounds will be washed out the bucket.

Step-by-step explanation:

Answer:

hty

Step-by-step explanation:

Answer:

a triangle

Step-by-step explanation:

if you cut the shape in half, it would be a triangle but at an angle.

hope this helps!

Answer:

(-2,-2) and (3,4)

Step-by-step explanation:

Edge 2020

Answer:

the other person is right -2, -2 and 3, 4

Step-by-step explanation:

I had to do this

Answer:

11x+5/x

Step-by-step explanation:

Step-by-step explanation:

[tex]-1 + (-9w^2)-7w+7w^2[/tex]

Combine like terms.

[tex]-9w^2 + 7w^2-7w-1[/tex]

[tex]-2w^2-7w-1[/tex]

Answer:

Step-by-step explanation:

Given that:

A study is conducted and the study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands.

a)

Thus; we formulate the null and the alternative hypotheses as follows:

The proportion is ; [tex]\frac{64}{100}[/tex] = 0.64

Null hypothesis:    [tex]{H_0}:p = 0.64[/tex]  

The Null hypothesis states that there is no evidence that “the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%”.

Alternative hypothesis: [tex]{H_a}:p \ne 0.64H[/tex]

The Alternative hypothesis states that there is evidence that “the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%”.

b)

The proportion of the population = 0.64

The sample size n = 100

The number of shoppers = 52  stating that the supermarket brand was as good as the national brand

The sample proportion [tex]\hat p = \frac{52}{100}[/tex]

[tex]\hat p = 0.52[/tex]

The z - value is calculated by the formula:

[tex]z = \dfrac{\hat p-p}{\frac{\sqrt{ p(1-p)}}{100 }}[/tex]

[tex]z = \dfrac{0.52-0.64}{\frac{\sqrt{ 0.64(1-0.64)}}{100 }}[/tex]

[tex]z = \dfrac{-0.12}{0.048 }}[/tex]

z = -2.50

Since z = -2.50

the p-value = 2P(Z ≤ -2.50)

p-value = 2 × 0.0062

The p-value = 0.0124

c)

At  significance level,  ∝ = 0.05 ; The p-value = 0.0124

According to  the rejection rule, if p-value is less than 0.05 then we will reject null hypothesis at ∝ = 0.05

Hence, the p-value =0.0124 < ∝ (=0.05)

According to the reject rule; reject null hypothesis.

Conclusion: There is no evidence at all that the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%.

d) we know that the significance level of ∝  = 0.05

The value[tex]{z__{0.05}}[/tex]  is obtained as:

[tex]P\left( {\left| Z \right| \le z} \right) = 0.05[/tex]

Now; to determine Z ; we locate the probability value of 0.05 form the table of standard normal distribution. Then we proceed to the left until the  first column is reached and  the value is 1.90. Also , we move upward until we reach the top and the value is 0.06. Now; the intersection of the row and column results the area  to the left of z

This implies that :[tex]P(Z \leq -1.96)=0.05[/tex]

The critical value for left tail is -1.96 and the critical value for right tail is 1.96.

Conclusion:

The critical value is -1.96 and the value of test statistic is - 2.50.  Here, we can see that  the value of test statistic is lesser than the critical value. Hence, we can be concluded that there is evidence that reject the null hypothesis.

Therefore, Yes, the national brand ketchup manufacturer is pleased with the conclusion.

Following are the solution to the given points:

For point a:

Calculation of the hypotheses:

Null hypothesis [tex]\ H_0:p=0.64 \\\\[/tex]

Alternative hypothesis [tex]\ H_a : p \neq 0.64[/tex]

For point b:

 Checking the value:  

[tex]\to np_0=100 \cdot 0.64=64>5\\\\\to n(1-p_0)=100\cdot(1-0.64)=100 \cdot 0.36= 36 > 5[/tex]

Test statistic:

[tex]\to Z= \frac{0.52-0.64}{\sqrt{\frac{0.64 \times 0.36}{100} }}=-2.50[/tex]

Since there are two-sided for the test. so, [tex]z=-2.50[/tex] is negative.

Calculation of the P-value:  [tex]\to p=2P(z \leq -2.50)=2 \cdot 0.00621=0.01242<\alpha =0.05[/tex]

For point C:

In this choice, the Null hypothesis value should be rejected.

For point D:

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Answer:Surface Area of a Solid

The surface area of a 3-dimensional object is the measure of the total area of all its faces. This means that one way to find the surface area of a solid is to find the area of its net. The surface area of a rectangular prism is the area of the six rectangles that cover it.

Step-by-step explanation:

Answer:

May you kindly provide us with a selection of choices? Thank you ! :)

Step-by-step explanation:

Answer:

A.

The electrons move back and forth.

Step-by-step explanation:

i took the test