Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?
O left 1 unit, up 5 units
Oright 1 unit, up 5 units
left 2 units, up 2 units
Oright 2 units, up 2 units

Answer:

is below

Step-by-step explanation:

x= -5/7

y= -66/7

your welcome

Answer:

1: equivalent

2: not equivalent

3: not equivalent

4: equivalent

5: not equivalent

6: equivalent

7: not equivalent

8: not equivalent

9: equivalent

Step-by-step explanation:

E

NE

NE

E

NE

E

NE

NE

E

This is the short form of equivakent and non equivalent fractions

ok

Answer:

He's not right

Step-by-step explanation:

L = 4/6 = 2/3

K = 2/3

The volume V of the region is in the interval (0, 50).

To find the volume V, we set up the triple integral in cylindrical coordinates over the given region. The region is defined by the following constraints:

z is bounded by z = 6 - x (upper boundary) and z = -1 (lower boundary).

The region lies inside the cylinder x² + y² = 3 with x < 0.

The function 4x² + 4y² determines the height of the region.

In cylindrical coordinates, the triple integral becomes:

V = ∫∫∫ (4ρ²) ρ dz dρ dθ,

where ρ is the radial distance, θ is the azimuthal angle, and z represents the height.

The integration limits are as follows:

For θ, we integrate over the full range of 0 to 2π.

For ρ, we integrate from 0 to √3, which is the radius of the cylinder.

For z, we integrate from -1 to 6 - ρcosθ, as z is bounded by the given planes.

Evaluating the triple integral will yield the volume V. In this case, the volume V falls within the interval (0, 50).

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Answer:

First answer is obtuse

The second answer is scalene

Step-by-step explanation:

Obtuse is when an angle is over 90

Scalene since all the angles are different, all the side lengths are different.

Answer:

20 students bought sandwichs and 16 students bought orange juice.

20 x 3 = 60

16 x 1 = 16

60 + 16 = 76

Answer:

And....what are the options? or are we suppose to know answer that?

Answer:

could you add the options pls

Answer:

20

Step-by-step explanation:

28/16=1.75

35/1.75=20

Answer:

In step by step

Step-by-step explanation:

Your mean is 190.

Your median is 180 because it is in middle.

Mode is also 180 because it appears most often

Range 205 because 300-95

Variance= without decimals/2346

Standard deviation without decimals /48

Hope it helps :}       have a great day!

Answer: 56

Explanation: Add 6 to your sum every time until you get to the 10th term. It should look like this:

2

8

14

20

26

32

38

44

50

56

This is a total of 10 numbers.

Hope it helps!

Answer:

1 in=4 ft

5 in=20 ft

5 x 4=20 ft

1in =4 ft

8 in=32 ft

8 x 4=32 ft

A=L*W

A=32*20

A=640 SQUARE FEET

Step-by-step explanation:

GOOD LUCK

Answer:

Slope intercept form is -1/7x + 7

!Hope this helps!

Step-by-step explanation:

The logarithmic properties of a linear system are used to solve the equation.

The x-value of the intersection is x =46.

It is a system of an equation in which the highest power of the variable is always 1.

A one-dimension figure that has no width.

It is a combination of infinite points side by side.

Given

The pond can hold 400 water liters.

\(\rm y = 3.915(1.106)x\) is an expression.

Let x be the day and y be the hold of water.

When pond can hold 400 liters of water the x will be;

400 = 3.915(1.106)ˣ

(1.106)ˣ = 400/3.915    

(1.106)ˣ = 102.17

Taking logarithm on both sides, we get

log (1.106)ˣ = log (102.17)

x log (1.106) = log (102.17)                       [log aˣ = x loga] x = [log (102.17)/log (1.106)]    

x = 45.92

x = 46

Thus, the x-value of the intersection is x =46.

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Answer:

Graphing y = 3.915(1.106)x and y = 400, then finding the x-value of the intersection

Step-by-step explanation:

If the balloon is 5,000 feet above the ground, then the Harrison is 7100 feet away (option c)

To solve for the adjacent side, we can use the tangent function, which relates the opposite and adjacent sides of a right triangle to the angle between them.

Tangent of an angle = opposite side / adjacent side

In this case, the tangent of 35° can be written as:

tan(35°) = height of balloon / distance between Harrison and balloon

We can rearrange this equation to solve for the distance between Harrison and the balloon:

distance between Harrison and balloon = height of balloon / tan(35°)

Substituting the given values, we get:

distance between Harrison and balloon = 5000 / tan(35°)

Using a calculator, we can find that the tangent of 35° is approximately 0.7002. Substituting this value, we get:

distance between Harrison and balloon = 5000 / 0.7002

Simplifying this expression, we get:

distance between Harrison and balloon ≈ 7,100 feet

Therefore, the answer is (C) 7,100 feet.

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The total capital raised from selling 10 investment units at $100,000 per unit with a preferred return of 7% and a 70%/30% split would be $1,000,000.

To calculate the total capital raised, we need to consider the number of units sold, the price per unit, and the preferred return.

Given that 10 investment units were sold at $100,000 per unit, the total value of the units sold would be 10 units * $100,000 = $1,000,000.

The preferred return of 7% indicates that the investors will receive a fixed return of 7% on their investment before any profit sharing occurs. However, for the purpose of calculating the total capital raised, we do not deduct the preferred return from the total value of the units sold.

The 70%/30% split suggests that after the preferred return is paid, the remaining profits will be split between the owner and the investors in a 70%/30% ratio. This split does not affect the calculation of the total capital raised.

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Answer:

12/25

Step-by-step explanation:

2/5 / 5/6 = 2/5 * 6/5 = 12/25

Answer:

2/5÷5/6=12/25 I hope this helps! ;)

Step-by-step explanation:

   Brainliest please

Answer:  1) c     2) d

Step-by-step explanation:

Use Pythagorean Theorem to find the hypotenuse (r):  x² + y² = r²

Given: x = 2, y = 6

                2² + 6² = r²

                4 + 36 = r²

                      40 = r²

                      \(\sqrt{40}=r\)

\(\sin \theta=\dfrac{y}{r}\quad =\large\boxed{\dfrac{6}{\sqrt{40}}}\quad \rightarrow \dfrac{6}{2\sqrt{10}}\quad \rightarrow \dfrac{3}{\sqrt{10}}\)

*******************************************************************************************

\(\sin \theta = \dfrac{opposite(y)}{hypotenuse(r)}\quad =\dfrac{12}{20}\quad \rightarrow \dfrac{3}{5}\quad \rightarrow \large\boxed{0.6}\\\\\\\cos \theta = \dfrac{adjacent(x)}{hypotenuse(r)}\quad =\dfrac{16}{20}\quad \rightarrow \dfrac{4}{5}\quad \rightarrow \large\boxed{0.8}\)

Answer:

B) 16

Step-by-step explanation:

Espresso required for one person:

Espresso required for 24 people:

3 teaspoons = 1 tablespoon

48 teaspoons = 48/3 = 16 tablespoons

Christopher needs 16 tablespoons of espresso.

Correct answer choice: B) 16

Answer:

225

Step-by-step explanation:

(x+y)^2, if x=6 and y=9

Put 6 in place of x and 9 in place of y.

(6+9)^2 According to order of operations, add the 6+9 first.

(6+9)^2

= 15^2

= 225

Answer to given question is: Value of g(12) = -7.

We need to follow these steps:

1. Determine the derivative of f(x) on the interval [10, 12].
Since f'(c) = g'(x) on [10, 12], we know that the derivatives of f(x) and g(x) are equal over this interval.

2. Find the change in f(x) over the interval [10, 12].
The change in f(x) is given by f(12) - f(10) = 11 - 9 = 2.

3. Calculate the change in g(x) over the interval [10, 12].
Since the derivatives of f(x) and g(x) are equal over this interval, their changes over the interval must also be equal. Therefore, the change in g(x) is also 2.

4. Find the value of g(12) using g(10) and the change in g(x).
Since g(10) = -9 and the change in g(x) is 2, we have g(12) = g(10) + change in g(x) = -9 + 2 = -7.

So the value of g(12) is -7.

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After observing the table of the given five functions, we know that the solution would be when f(x) = g(x) at x =1.

A mathematical phrase, rule, or law establishes the link between an independent variable and a dependent variable (the dependent variable).

In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

The polynomial function of degree zero is a constant function.

Linear Function: The first-degree polynomial function.

Quadratic Function: The degree of two polynomial functions.

Cubic Function: The degree of three polynomial functions.

So, the table is shown:
x           f(x) =4x+1           g(x) = 3ˣ⁺¹ ⁻ ⁴    

-3             -11                    -35/9    

-2              -7                     -11/3

-1               -3                      -3

0                1                       -1

1                 5                       5

2                9                      23

3                13                     77

We must resolve the equation f(x) = g. (x)

We must determine the value of x such that f(x) = g. (x).

You can see from the provided table that when x = 1

f(x)  =5, g(x) = 5

Therefore, after observing the table of the given five functions, we know that the solution would be when f(x) = g(x) at x =1.

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Correct question:

The table shows values for functions f(x) and g(x)

x f(x)=4x+1 g(x)=3x+1−4

−3 −11 −359

−2 −7 −113

−1 −3 −3

0 1 −1

1 5 5

2 9 23

3 13 77

What is the solution to f(x)=g(x) ?

Select each correct answer.

−3

−2

−1

0

1

2

3

The actual speed of the red car along the road is 95 feet per second.

In this scenario, the police car and the red car are located at different positions relative to the road. The police car is situated 40 feet to the side of the road, while the red car is driving along the road, 130 feet up the road from the police car.

Given that the distance between the police car and the red car is decreasing at a rate of 95 feet per second, this represents the rate at which the two cars are getting closer to each other. This rate of change is known as the "rate of decrease" or "rate of approach."

Since the red car is moving along the road, the rate at which it is traveling can be determined by considering its motion parallel to the road. In this case, the rate of approach between the two cars represents the rate at which the red car is actually traveling along the road. Therefore, the actual speed of the red car along the road is 95 feet per second.

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Answer:

y=30x+25

Step-by-step explanation:

y=mx+b (slope-intercept formula)

y= amount of money per hour of labor

m= 30 (amount per hour, slope)

b= 25 (y-intercept, starting rate)

Answer:

0

Step-by-step explanation:

Both M and m equal 81

The resultant value of the difference of Median and Mean will be 0.

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

The median is the middle value when a data set is ordered from least to greatest.

The mode is the number that occurs most often in a data set.

Given is the test scores of 8 students are shown in the table.

We can write the data in the order least to greatest as -

67, 75, 75, 75, 87, 87, 91, 91

Mean = 648/8 = 81

Median = (75 + 87)/2 = 81

So, we can write (Median- Mean) as 81 - 81 = 0

Therefore, the resultant value of the difference of Median and Mean will be 0.

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Answer:b

Step-by-step explanation:

Answer: B). y=5x-6

Step-by-step explanation:

A is just the x-intercept

C is a parabola

D would just eventually equal to the x-intercept

Through deductive reasoning, we get B.

Answer:

The volume of a cone is calculated as 1/3πr²h, where r is the radius and h is the height. The volume of the cone-shaped popcorn container would be 1/3 * π * 6² * 19 ≈ 718.08 cm³.

The volume of a cylinder is calculated as πr²h, where r is the radius and h is the height. The volume of the cylinder-shaped popcorn container would be π * 4² * 15 ≈ 753.98 cm³.

So the cone-shaped popcorn container has a volume of approximately 718.08 cm³ and costs $6.75 while the cylinder-shaped popcorn container has a volume of approximately 753.98 cm³ and costs $6.25.

Step-by-step explanation:

To calculate the annualized rate of return, we can use the formula for compound interest. The correct answer is 11.66%.

The formula for compound interest is given by: A = P(1 + r)^t, where A is the final amount, P is the principal amount, r is the annual interest rate, and t is the time in years.

In this case, the initial investment (P) is BD 14,000, the final amount (A) is BD 52,600, and the time (t) is 12 years. We need to solve for the annual interest rate (r).

\(BD 52,600 = BD 14,000(1 + r)^{12}\)

By rearranging the equation and solving for r, we find:

\((1 + r)^{12} = 52,600/14,000\)

Taking the twelfth root of both sides:

\(1 + r = (52,600/14,000)^{(1/12)}\\r = 0.1166 / 11.66 \%\)

Therefore, Areej has earned an annualized rate of approximately 11.66% on this investment.

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Answer:

Tenley will use _9_ feet of wood.

Step-by-step explanation:

The key here is to multiply 4 by 2.25. If just adding 2.25 4 times is easier, go for that. Either way the correct answer will be 9 feet.