Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

The statement that is completely correct is option  The minimum value of f(x) is greater than the maximum value of g(x).

From the question given, the quadratic function is f(x) = 2(x - 2)² + 8

Note therefore that:

Based on the graph given (see image attached) we are able to see the vertex of g(x) is (2, 3), the maximum of g(x) is said to be 3.

So one can say that the {8  > 3} hence the  minimum value of f(x) is greater than the maximum value of g(x).

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See text below

Compare the quadratic function f(x)=2(x-2)2+8 with the following graph of g(x).

Which statement is completely correct?

The minimum value of f(x) is equal to the maximum value of g(x).

The minimum value of f(x) is less than the maximum value of g(x).

The minimum value of f(2) is less than the minimum value of g(x).

The minimum value of f(x) is greater than the maximum value of g(x).

Answer:

8x2+4x+16

Step-by-step explanation:

first you would place as so

8x2-5x+9 - (-9x-7)

you would then change question to addition but do this you would have to switch the signs for the one in the parenthisis. it would look like 8x2-5x+9 + 9x+7

You then add like terms and put them into standard form.

hope this helps!!

Answer:

16

Step-by-step explanation:

-4 times -4 is 16

Answer:

16

Step-by-step explanation:

I hope this helps!

Answer:

Circumference of the Circle is 2π(radius)= 2πr

Answer:

I would say it is 2 pie r

Step-by-step explanation:

Answer:

Step-by-step explanation:

what following?

Answer:

Yes its correct the unhighlighted is complement

x = 10 / 8 = 5/4 = 1.25 is the answer

Answer:

A.

Step-by-step explanation: Because as you see the dot is past the 2 and is on the third line out of 4, the 4th line is the next number.

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

Explanation:

Let point N be at the intersection of the horizontal line and segment JM.

We can prove the right triangles JNK and MNK are congruent using the hypotenuse leg (HL) rule. This in turn means JN = NM through the use of CPCTC.

In other words, JN = NM because the horizontal line is the perpendicular bisector of JM.

So,

JM = JN + NM

JM = NM + NM

JM = 2*NM

JM = 2*7.1

JM = 14.2

Answer:

JM = 14.2

Step-by-step explanation:

Given JK = MK then Δ JKM is isosceles.

The line through K is a perpendicular bisector of JM , so

JM = 2 × 7.1 = 14.2

Option A,B,C,D : Elias might have gotten the answer by calculating the percentage discounts of each item and comparing them to see which ones are the same.

To find which items have the same percent discount, we need to calculate the percent discount for each item.

For the sweater, the percent discount is (20/50) x 100% = 40%.

For the shorts, the percent discount is (12/30) x 100% = 40%.

For the shirt, the percent discount is (14/35) x 100% = 40%.

For the jeans, the percent discount is (24/60) x 100% = 40%.

Therefore, all items have the same percent discount of 40%, and option C (jeans and shirt only) is incorrect. The correct answer is A, sweater and shorts only, B, sweater, shorts, and shirt only, and D, sweater, shorts, and jeans only, have the same percent discount. Elias may have chosen C because he overlooked that the percent discount is the same for all items.

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Which items have the same percent discount?

A. sweater and shorts only

B. sweater, shorts, and shirt only

C. jeans and shirt only

D. sweater, shorts, and jeans only

Elias chose C as the correct answer. How might he have gotten that answer?

The balance of your savings account at the end of the 3rd full month is $754.69.

To calculate the balance of your savings account at the end of the 3rd full month, we need to first calculate the total amount deposited over those three months:

Total deposited = $250 x 3 = $750

Next, we need to calculate the interest earned on that deposit. We can use the formula:

Interest = Principal x Rate x Time

where:

Principal is the initial amount deposited

Rate is the annual percentage rate (APR)

Time is the time period for which interest is being calculated

In this case, the principal is $750, the APR is 2.5%, and the time period is 3/12 (or 0.25) years, since we are calculating interest for 3 months out of a 12-month year.

Plugging in the values, we get:

Interest = $750 x 0.025 x 0.25 = $4.69

Therefore, the interest earned over the 3 months is $4.69.

The balance of your savings account at the end of the 3rd full month will be the total amount deposited plus the interest earned:

Balance = Total deposited + Interest earned

Balance = $750 + $4.69

Balance = $754.69

Therefore, the balance of your savings account at the end of the 3rd full month is $754.69.

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Answer:

The length of each board will be 3 * root(4, 10) feet

Step-by-step explanation:

The parameters given are;

The length, L₁, of each board in the bundle = 5 * root(4, 10) feet

The length, Lₓ, to be cut off from each board in the bundle = 2 * root(4, 10) feet

Therefore, the length, L₂, of each of the boards after removing the 2 * root(4, 10) sections of the wood would be given as follows;

L₂ = 5 * root(4, 10) feet - 2 * root(4, 10) feet = 3 * root(4, 10) feet

Answer:

its a little hard sorry I dont know

Answer:

width = 2 in

length = 13 in

Step-by-step explanation:

x(11+x) = 26

x² + 11x - 26 = 0

(x + 13)(x - 2) = 0

x = 2

The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

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Answer:

The answer is false! :)

Answer: 6 ounces

Step-by-step explanation:

From the question, we are informed that 3/4 of an 8 ounce container is used and told to calculate how much of the container is used.

To solve this, we have to multiply 3/4 by 8 ounces. This can be mathematically written as:

= 3/4 × 8

= 6 ounces

It means that 6 ounces of the container are used

Answer:

1 + 3/5x + 2

the first expression = eighteen and 1 + 3/5x + 2 is the only other expression that = eighteen. Hope this helps and good luck!!

Step-by-step explanation:

Answer:

y <= x+2

Step-by-step explanation:

Finding the curve equation,

the slope is 1 and the y-intercept is 2. Hence,

y = x + 2

Since the thing is under the graph,

y < x + 2

Since it is a solid line,

y <= x + 2

Hope this helps and be sure to mark this as brainliest! :)

Answer:

The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h . Simplify.

Step-by-step explanation:

The statement that is true about the given figure, a limaçon, is c. It has no rotational symmetry, with an angle of rotation of 90 degrees.

Let's examine each option and explain why they are true or false:

a. It has reflectional symmetry with one line of symmetry: This option is false. To have reflectional symmetry with one line of symmetry, the figure must be identical on both sides when divided by a line. The given figure, a limaçon, does not exhibit this property.

b. It has no rotational symmetry: This option is true. Rotational symmetry means that the figure remains unchanged after rotation by certain angles. The limaçon does not have any rotational symmetry because it does not appear the same after any rotation.

c. It has no rotational symmetry, with an angle of rotation of 90 degrees: This option is true. A figure with rotational symmetry of 90 degrees would appear the same after a 90-degree rotation. However, the limacon does not exhibit this property.

d. It has no reflectional symmetry: This option is true. Reflectional symmetry requires the figure to have a line of symmetry dividing it into two identical halves. The limaçon does not possess such a line of symmetry.

Based on the explanations above, the correct statement is that the limaçon has no rotational symmetry with an angle of rotation of 90 degrees (option c).

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Answer:

1 and 2

Step-by-step explanation:

the square root of 210 is 1.44

The time elapsed, to the nearest minute, until only 2 grams of the element remains is 15 minutes.

We have an element. The element has a mass of 400 grams. The element decays by 29.8% per minute. We need to find the time duration after which there will be only 2 grams of the element remaining. Let the initial mass of the element, the final mass of the element, the rate of decay, and the time elapsed be represented by the variables m, M, r, and t. We can write the equation as given below.

M = m(1 - r)^t

2 = 400(1 - 0.298)^t

0.005 = (0.702)^t

log(0.005) = t*log(0.702)

t = log(0.005)/log(0.702)

t = 14.97

The time taken, to the nearest minute, is 15 minutes.

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Answer:

Step-by-step explanation:

m)  yx(y + 1) + 4x(y +1) - 5(y +1) = (y + 1) [ yx + 4x - 5 ]

n) 6p² - 3p³ = 3p² (2 - p)

0) 4x⁴ + 2x = 2x(2x³ + 1)

Answer:

Their speeds are;

5.83 mph and 17.49 mph

Step-by-step explanation:

We are told that they leave the park the same time.

Let the speed one car traveled be v

Since the other car is 3 times faster, then it means that, it's speed is 3v.

Now, after 6 hours they travel 140 miles.

We know that;

Speed = distance/time.

Thus;

(v + 3v) = 140/6

4v = 140/6

v = 140/24

v = 5.83 mph

Thus, second car's speed = 3v = 3 × 5.83 = 17.49 mph

The coordinate (r) in the linear equation r = -2.5t, where t is a negative number, will be located in the third quadrant. In the Cartesian coordinate system, the third quadrant is the region where both the x and y coordinates are negative.

In the given linear equation, r = -2.5t, the coefficient -2.5 indicates that the value of r is determined by multiplying a negative value of t by -2.5. Since t is restricted to negative numbers, it means that as t decreases in magnitude (moving towards more negative values), the value of r increases in magnitude but remains negative. Therefore, the resulting coordinates (r, t) will lie in the third quadrant.

To visualize this, imagine a graph with t as the x-axis and r as the y-axis. As t moves towards more negative values, r moves towards more negative values as well. The line representing the equation r = -2.5t will extend downwards from the origin and fall entirely within the third quadrant. Thus, the coordinate (r) in this equation will be located in the third quadrant.

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The explicit formula for the given arithmetic sequence is aₙ = 23 + (n - 1)11. Here the first term is a1 = 23 and the common difference is d = 11.

The explicit formula for an arithmetic sequence gives the nth term of the sequence. I.e.,

aₙ = a1 + (n - 1)d

Here a1 is the first term; d is a common difference, it is calculated by

d = aₙ₊₁ - aₙ = aₙ₋₁ - aₙ

The given sequence is 23, 34, 45, 56,...

Here the first term a1 = 23

So, the common difference between the terms in the sequence is

d = 34 - 23 = 11

Then, the explicit formula for the given sequence is

aₙ = a1 + (n - 1)d

⇒ aₙ = 23 + (n - 1)11

Therefore, the nth term of the explicit formula for the given arithmetic sequence is aₙ = 23 + (n - 1)11.

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The probability of spinning a 4 on the spinner is 1/12.

Given, a spinner having two numbers 4 & 9

the sector having number 9 has an angle of 30°.

We have to find the probability of spinning a 4 on the spinner

So, the probability of spinning a 4 is,

Probability = (Area of sector having number 4)/(Area of the circle)

Probability = (30°/360°×π×r²)/(π×r²)

Probability = 1/12

Hence, the probability of spinning a 4 on the spinner is 1/12.

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