Solve for the variable. 4/5 = 20/?
A. x = 5
B. x = 16
C. x = 20
D. x = 25

The required value of h(9) must be 40 which is the correct answer would be option (3).

The function h(x) has an average rate of change of 7 on the interval 5 ≤ x ≤ 9. This means that, on average, the output of the function increases by 7 for every unit increase in the input.

We are given that h(5)=12, which means that the function has an output value of 12 when the input is 5.

To find the value of h(9), we can use the average rate of change to calculate the expected increase in the function's output over the interval 5 ≤ x ≤ 9.

Since the average rate of change is 7, we expect the function's output to increase by 7 × (9-5) = 28 over this interval.

So, the expected value of h(9) is:

⇒ 12 + 28 = 40.

Therefore, the required value of h(9) must be 40.

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Step-by-step explanation:

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Answer:

1. 4(x+1)

2. 2(2x2−5x−2)

Answer:

-3x^2 +7x -4

-------------------------------

(x-3)(x-2)(x+3)

Step-by-step explanation:

2              3x

--------   - ----------

X^2-9    x^2 -5x+6

Factor

2                 3x

--------   -      ----------

(x-3)(x+3)   (x-3)(x-2)

Get a common denominator

2  (x-2)               3x(x+3)

--------   -             ----------

(x-3)(x+3)(x-2)   (x-3)(x-2)(x+3)

2x-4  - (3x^2 -9x)

-------------------------------

(x-3)(x-2)(x+3)

Distribute

2x-4  - 3x^2 +9x

-------------------------------

(x-3)(x-2)(x+3)

Combine like terms

-3x^2 +7x -4

-------------------------------

(x-3)(x-2)(x+3)

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Answer:

Proportional both equations are equal to 1/4

Answer:

It is a decreasing function for 0 < b < 1.

Step-by-step explanation:

Logarithm function:

The logarithm function is given by:

\(F(x) = \log_{b}{(x)}\)

The base b determines if the function increases or decreases.

For 0 < b < 1, the function decreases.

For b > 1, the function increases.

In this question:

By the definition above, it is a decreasing function for 0 < b < 1.

The solution for this system of equation is x = 3 and y = 2.

By Substitution Method:

When using the Elimination method,

The equations are :

3x - y = 7

2x + y = 8

here in both equations y has the same cofficient with different sign so, we can simply use Elimination methord by adding both equation .

We get ,

3x + 2x = 7+8

⇒ 5x = 15

⇒ x = 3

Now,

3x -y  = 7

⇒ 3*3 - y = 7

⇒y = 2

The solution for this system of equation is x = 3 and y = 2.

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The solution for this system of equation is x = 3 and y = 2.

What is Substitution and Elimination methord of Solving Equation ?
Resolve ONE of the x or y equations. If one of the equations has previously been solved for x or y, this step can be avoided.

Substitute the outcome for that variable in the other equation.

Either all x terms or all y terms will now make up the new equation. Fix the variable's place in the equation.

To obtain the alternative answer, plug the solution back into the beginning equation (the one you used to solve for x or y).

When using the Elimination method,

Start by aligning the x- and y-coordinates on the same side of the equation.

Whichever you decide to remove, find a common multiple for the Xs OR the Ys.

To enable the addition of the equations, make one of those multiples negative.

One of the variables will be removed when the equations are combined. Give the variable that is still present its final solution.

To determine the other number, enter your response from step four into either of the equations.

The equations are :
3x - y = 7
2x + y = 8
here in both equations y has the same cofficient with different sign so, we can simply use Elimination methord by adding both equation .
We get ,
3x + 2x = 7+8
⇒ 5x = 15
⇒ x = 3
Now,
3x -y  = 7
⇒ 3*3 - y = 7
⇒y = 2

The solution for this system of equation is x = 3 and y = 2.

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Answer:

26:30

Step-by-step explanation:

The two-step equation that can be solved using the addition property of equality and the division property of equality is given by; 4x - 2 = 14 therefore, OC) 4x - 2 = 14 is correct option.

To solve this equation using the addition property of equality, we need to isolate the term that contains x on one side of the equation.

To do this, we need to add 2 to both sides of the equation.

This gives us:

4x - 2 + 2 = 14 + 2

4x = 16

To solve for x, we now need to divide both sides of the equation by 4.

This gives us:

x = 4

Therefore, the answer is OC) 4x - 2 = 14.

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a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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The answer is D: conjecture

The key words in the description are "look for a pattern and then form an educated guess." This suggests making a hypothesis or assumption based on the observed pattern, which is the definition of a conjecture.

The other answer choices are defined as follows:

A. conjugation - the act of changing a verb to agree with its subject

B. conjunction - a connecting word

C. congruence - the state of agreeing, matching, or coinciding

D. conjecture - an opinion or conclusion formed on the basis of incomplete information

So option D, conjecture, is the best match for forming an educated guess based on an observed pattern in induction.

Answer:

We can start by dividing both sides of the equation cos(Ф) + 2sin(Ф) = 0 by sin(Ф):

cos(Ф)/sin(Ф) + 2 = 0

We can then use the identity cot(Ф) = cos(Ф)/sin(Ф) to substitute for cos(Ф)/sin(Ф):

cot(Ф) + 2 = 0

Subtracting 2 from both sides, we get:

cot(Ф) = -2

Therefore, we have shown that cos(Ф) + 2sin(Ф) = 0 can be expressed as cot(Ф) = -2.

To calculate the ratio as a decimal, we divide the number of owners by the total population for each city.

For Indianapolis: Ratio = 6,245 / 0.9 million = 0.006938

For New York: Ratio = 911,216 / 18.6 million = 0.049019

For Cairo: Ratio = 10,598 / 19.1 million = 0.000554

For Beijing: Ratio = 959,611 / 21.2 million = 0.045270

For Tokyo: Ratio = 1,700,510 / 26.5 million = 0.064234

To calculate the owners per 100, we multiply the ratio by 100.

For Indianapolis: Owners per 100 = 0.006938 * 100 = 0.7 (rounded to one decimal place)

For New York: Owners per 100 = 0.049019 * 100 = 4.9 (rounded to one decimal place)

For Cairo: Owners per 100 = 0.000554 * 100 = 0.1 (rounded to one decimal place)

For Beijing: Owners per 100 = 0.045270 * 100 = 4.5 (rounded to one decimal place)

For Tokyo: Owners per 100 = 0.064234 * 100 = 6.4 (rounded to one decimal place)

Therefore, the ratio as a decimal and the owners per 100 for each city are as follows:

Indianapolis: Ratio = 0.006938, Owners per 100 = 0.7

New York: Ratio = 0.049019, Owners per 100 = 4.9

Cairo: Ratio = 0.000554, Owners per 100 = 0.1

Beijing: Ratio = 0.045270, Owners per 100 = 4.5

Tokyo: Ratio = 0.064234, Owners per 100 = 6.4

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The calculated value of x on the line is 49

From the question, we have the following parameters that can be used in our computation:

AEC = (2x + 40)°

CEB = (x + 20)°

The sum of angles on a line is 180

So, we have

2x +  40 + x + 20 = 180

Evaluate the like terms

So, we have

3x = 120

Divide both sides by 30

x = 40

Hence, the value of x is 49

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Answer:

Step-by-step explanation:

3D space  (x, y, z)  = (10, 45, 57)

I will use  x² + y² = (2D Hyp)²  and (2D Hyp)² + z² = (3D Hyp)²

which is just x² + y²  + z² = (3D Hyp)²

10² + 45²  + 57² = (3D Hyp)²

100 + 2025 + 3249    =  5374   =   (3D Hyp)²    the destance from the origin

                                                   =  73.31    the destance from the origin

The number of kilograms of the weight of the boy will be 21.32 kg.

Conversion means to convert the same thing into different units.

A boy weighs 47 pounds.

Then the number of kilograms of the weight of boy will be

We know the conversion

1 pound = 0.45359237 kg

Then we have

47 pound = 47 x 0.45359237 kg

47 pound = 21.31884139 kg

47 pound = 21.32 kg

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The graph of the linear equation, x = 6, is shown in the image attached below.

The equation of a vertical line is given as x = b, where b is the x-intercept of the line. That is, b is the point on the x-axis where the line crosses.

Given the equation, x = 6, it means the line is a vertical line. Therefore, on the graph, the line would intercept the the x-axis at 6.

Thus, the graph of the linear equation, x = 6, is shown in the image attached below.

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Step-by-step explanation:

21x²-2x +1/2 = 0

x² - 2x ×21 + 1/2× 21 = 0

The inequality represented by the graph is given as follows:

y > 3x - 4.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph crosses the y-axis at y = -4, hence the intercept b is given as follows:

b = -4.

When x increases by 1, y increases by 3, hence the slope m is given as follows:

m = 3.

Hence the equation of the line is:

y = 3x - 4.

The inequality is composed by the values to the right (greater) of the line, and has an open interval due to the dashed line, hence:

y > 3x - 4.

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Answer:

(0, e-1) or (0, 1.718) to the nearest thousandth.

Step-by-step explanation:

The y-intercept occurs when x = 0 so here we have:

y = e^(1 - 0) - 1

= e - 1

So the y-intercept is the point (0, e-1)

Answer:

the mean is 7

Step-by-step explanation:

used a mean calculator

Answer:

(4,0,-7)

Step-by-step explanation:

The initial position was (0,0,0) since it was the origin

Now, we have a movement of positive x at a distance of 4 units, with a distance of z a total of 7 units(negative since downward)

The current position is thus;

(4,0,-7)

Thus correlates to (x,y,z) and our y has remained zero as there is no movement along the y-axis

(p ² q ⁵) ⁻⁴ (p ⁻⁴ q ⁵) ⁻²

= (p ⁻⁸ q ⁻¹⁰) (p ⁻⁸ q ⁻¹⁰)

= p ⁻¹⁶ q ⁻²⁰

Answer:

the image shows reduction

Step-by-step explanation:

1.7

Answer:

0.5

Step-by-step explanation:

First divide 1.7 to 3.4 and then you get your answer

Hope this helps :)

We know that

E is midpoint of DF, that means DE is equal to EF, so we can form the following equation

Replacing the given equations, we have

Now, we replace this value in each equation to find each part of the segment.

3. The factored polynomial is p(x) = (x - 1)(x - 5)

4. The factored polynomial is p(x) = (x + 3)²

A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.

3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.

This implies that its factors are (x - 1) and (x - 5)

So, the factored polynomial is p(x) = (x - 1)(x - 5)

4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots

This implies that its factors are (x - (-3)) = (x + 3) twice

So, the factored polynomial is p(x) = (x + 3)²

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Answer:

7i..........................

Answer:

baljeet by 5x2

Step-by-step explanation: