a.) Find h(g(x)) if
h(x)= 2x+9
and
g(x) = 4*

Answer:

my bet would be d)

Step-by-step explanation:

ur asking math students btw

Answer:

D1×D2/2sq

445×5= 225

225/2

=112.5

Answer:

A. A reflection over the y-axis and then a rotation 90 degree clockwise about the origin.

Step-by-step explanation:

Given information: Figure G is rotated 90degree clockwise about the origin and then reflected over the x-axis, forming figure H.

A sequence of transformations to produce the same results could be the opposite of this, wherein Figure H undergoes a series of transformations to form Figure G.

Answer:

Step-by-step explanation:

This is a quadratic function.  

This function has one solution since its discriminant is zero.

Answer:

one real solution

Step-by-step explanation:

Discriminant

[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real solutions}[/tex]

[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real solution}[/tex]

[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real solutions}[/tex]

Given function:

[tex]y=x^2+10x+25[/tex]

Therefore:

Substitute the given values into the discriminant:

[tex]\implies 10^2-4(1)(25)=0[/tex]

As the discriminant equals zero, there is one real solution.

Answer:

3 and 4

Step-by-step explanation:

given that the difference is 7, two numbers that add up to 7 are 3 and 4.

Answer:

I just need points I don't know your answer

Step-by-step explanation:

Step-by-step explanation:

(−424.9) × (-0.1) = 42.49

2.7 × (−0.5) = -1.35

Answer: Heyaa! ~

Your Answers when Multiped are...

Step-by-step explanation:

     - Multiplied. -

 Hopefully this helps you! ~

The quadratic equation that has a root of 6 and 2 is x^2 - 8x + 12 = 0

The roots are given as:

x = 6 and x = 2

Rewrite as:

x - 6 = 0 and x - 2 = 0

Multiply both equations

(x - 6)(x - 2) = 0 * 0

Evaluate the product

x^2 - 6x - 2x + 12 = 0

Evaluate the difference

x^2 - 8x + 12 = 0

Hence, the equation that has a root of 6 and 2 is x^2 - 8x + 12 = 0

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Answer:

\frac{9}{20} (or 9/20, if this doesn't show up the right way in my answer.)

Step-by-step explanation:

Fist what we'll do here is divide 1000 by 450. 1000÷450=2\frac{2}{9} (2/9, if this doesn't show up the right way either).

Then, we'll apply the inverse formula. In case you've forgotten, the inverse of a number is what you have to multiply a number by to get 1. The inverse of 2/9 (too lazy to put it in that form anymore) is 0.45, or 9/20.

If that doesn't work, I might be interpreting this incorrectly.

Here.

Answer:

0.05, or 1/20

Step-by-step explanation:

So, we have the fraction. we can simplify it to 20/9, making the numerator 20. As previously stated, the inverse of a number is what you have to multiply a number by to get 1. So, 1÷20=0.05

Let me know which one works!

Warmest regards,

Sanjana

Professional 6th grader and quantum physics lover

Answer:1380

Step-by-step explanation: proportionality constant equals 1150/25=46. 46x30=1380

[1] n = -2

       We will convert the words given into a mathematical equation and then solve by isolating the variable. Let n be "a number"

19 decreased by four times a number is 17

19 - four times a number is 17

19 - 4 n is 17

9 - 4n = 17

-

9 - 4n = 17

- 4n = 8

n = -2

[2] x = -1, y = 3, or (-1, 3)

      I will plug the first equation into the second from the system of equations given to us because it already has an isolated variable, y.

2y - 2x = 8

2(2x + 5) - 2x = 8

4x + 10 - 2x = 8

2x = -2

x = -1

      Now, I will plug this value back into the equation and solve for y.

y = 2x + 5

y = 2(-1) + 5

y = -2 + 5

y = 3

Answer:

  A

Step-by-step explanation:

The solution matrices shown are the result of reducing the augmented coefficient matrix to "reduced row-echelon form". Many calculators and spreadsheets have functions specifically for that purpose.

The attachment shows the result of a TI-84 work-alike calculator's reduction of the coefficient matrix. It matches the first choice.

__

Additional comment

When the equations are written in the form shown here, with the variables in the same order, and the constant on the right side of the equal sign, the augmented matrix is simply the matrix of the numbers. It is shown as the argument of the RREF function in the attachment.

The left-right order of the variables on the left side of the equal sign matches the top-down order of the solution values in the rightmost column of the reduced matrix. That is, ...

  a = 2, b = -2, c = 0.

Answer:

[tex]\dfrac 32[/tex]

Step-by-step explanation:

[tex]~~~~~~~2^{2x} = 2^3\\\\\implies \ln\left(2^{2x} \right) = \ln (2^3)\\\\\implies 2x \ln(2) = 3 \ln(2) \\\\\implies 2x = 3\\\\\implies x = \dfrac 32[/tex]

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

First one- x=0

Second=All real numbers

Answer:

a) 12/18

b) 6

Step-by-step explanation:

If adding 6 white balls doubles the probability then the original amount of balls is 6 and with the new amount of 18, the likelihood of picking a white ball becomes 12/18.

Answer:

the missing angle is 30 and the missing exterior angle is 150

Step-by-step explanation:

180-90=90-60=30

180-30=150

Answer: Exterior angle = 150 degrees

Step-by-step explanation:

Hope that helps!

:)

Answer:

b. g(t) = 200 - 4t

Step-by-step explanation:

I don't know how to explain this, but here is the answer.

Answer:

8 > u > 6

Step-by-step explanation:

We have to solve this inequality as 2 separate inequalities.

==============================================================

Inequality 1 :

⇒ 10 > 5u/4

⇒ 5u < 10 × 4

⇒ 5u < 40

⇒ u < 8 [Box 1]

============================================================

Inequality 2 :

⇒ 5u/4 > 15/2

⇒ 5u/2 > 15

⇒ u/2 > 3

⇒ u > 3 × 2

⇒ u > 6 [Box 2]

============================================================

Solution :

⇒ 8 > u > 6

The number that could not be a value of y if y = 4x² - 6 is -12.

The value of y for which a function f(x) = y = 4x² - 6 can be determined by knowing the smallest value of y for which x is equal to zero.

So, from the equation y = 4x² - 6, we will replace the value of x with zero to determine the smallest value of y.

i.e.

y = 4(0) - 6

y = 0 - 6

y = -6

Thus, any number smaller than -6 could not be a value of y for the equation y = 4x² - 6.

Therefore, we can conclude that the number that could not be a value of y if y = 4x² - 6 is -12.

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Answer:

-12 is the answer.

At the equilibrium price p, we can solve for the quantity of goods x :

demand = supply

5200 - 0.0005x = 2800 + 0.0003x

2400 = 0.0008x

x = 3,000,000

With this quantity of goods, the equilibrium price is

p = 5200 - 0.0005 (3,000,000)

p = 5200 - 1500

p = 3700

Answer:

Negative 3 less-than y less-than-or-equal-to 3

Step-by-step explanation:

By looking at a coordinate plane, we can easily see the range

remember, a closed dot means includes , and an open dot means does not include

[closed dot]

(open dot)

the range is all possible y-values. so, all y values shown are

3               which it includes

to -3            which it excludes  / does not include

so, all y values are greater than -3 and less than or equal to 3

Looking at the problem statement, the question is asking for us to determine the justification for the steps that are used to help solve the equation.  We are given the expression [tex]x + 17 = 38[/tex] to help achieve that goal.

Now that we know what we must do to finish this problem let us look how this equation can be solved.  When the term solve the equation is used it refers to us solving for the unknown, in this case being the variable x.  We can see that we have [tex]x + 17[/tex] on the left side and in order to solve the equation x must be alone so we would subtract 17 from both sides.

Subtract 17 from both sides

Therefore, we know that we must subtract the same number from both sides and this justification is known as the Subtraction Property of Equality.  This basically states that an equal value needs to be subtracted from both sides and it will become a new equation but with the same result.

Answer:

Subtraction Property of Equality

Step-by-step explanation:

Given: x + 17 = 38

Algebraic Properties:

Addition: If a = b, then a + c = b + c

Subtraction: If a = b, then a - c = b - c

Multiplication: If a = b, then ac = bc

Division: If a = b, then a ÷ c = b ÷ c

To solve this equation, we know that we need to isolate the variable x. To do this, we need to subtract 17 from both sides to isolate x.

This is also known as the subtraction property of equality, which states that when the same thing is subtracted from both sides of an equation, the equation will still be balanced. 

Subtract 17 from both sides:

x + 17 - 17  = 38 - 17

⟹ x = 21

Therefore, the subtraction property of equality is included in the steps used to solve this equation.

Learn more about the other properties:

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Answer:

Step-by-step explanation:

x² - 3x - 28

What factors multiply to -28 and add to -3?

-7 and 4.

(x - 7) (x + 4)

Answer:

(x - 7)(x + 4)

Step-by-step explanation:

To find the factors, you just need to ask yourself the question: Which two numbers multiply to -28 but add to -3?

Simple guess-and-check will lead you to the numbers -7 and 4.

-7 x 4 = -28

-7 + 4 = -3

These numbers will make up the factored equation.

x² - 3x - 28

(x - 7)(x + 4)

You can check your answer by re-expanding the factored expression. This is done by multiplying each term in the first parentheses by each term in the second parentheses.

(x - 7)(x + 4)  ---->  x² - 7x + 4x - 28  ---->  x² - 3x - 28

The height in feet of the missile after 5 seconds in the air is; 875 ft

We are given the  quadratic function of the height in terms of time, x, in seconds as; h(x) = - 17x² + 260x

where;

h(x) is height after x seconds

x seconds is time of missile in air when thrown.

Thus, after five seconds, we have;

h(5) = - 17(5)² + 260(5)

h(5) = -425 + 1300

h(5) = 875 feet

Complete question is;

A missile is launched from the ground. Its height, h(x), can be represented by a quadratic function in terms of time, x, in seconds.

After 1 second, the missile is 243 feet in the air; after 2 seconds, it is 452 feet in the air.

The height of the can be represented by this function:

h(x) = - 17x² + 260x

Find the height, in feet, of the missile after 5 seconds in the air.

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Answer:

132°

Step-by-step explanation:

We use the circle theorem which states that :

Opposite angles in a cyclic quadrilateral add up to 180 .

Now we know that angles ADC and ABC add up to 180. So :

We make an equation and solve for x :

x+(3x-12) = 180

4x-12 = 180

4x = 192

x = 48

Now we substitute the value of x into Angle B :

3(48) -12 =

144 - 12 = 132

Angle B = 132 °

Hope this helped and have a good day

The situation which can be defined using an exponential function is "The number of bacteria decreases by 7% each hour".

An exponential function is used to represent a situation in which values of an event do not increase at a constant or linear rate.

From the above,

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Answer: Three

Step-by-step explanation:

I am going to assume the first value is 6xy² and not 6xy2

    6xy² − xy + 8 + 12y

   The term with the highest degree is 6xy² because it has three x and y variables (x + y + y is three).

    The degree of the polynomial is the same as the degree of the highest term, so your answer is:

           three

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