Can you explain to me how to solve this?

Answer:

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

Vertex form of a quadratic function:

Given (h, k) = (-2, -13) and a point (0, - 5).

Substitute all into equation and solve for a:

The parabola is:

Convert it to the standard form:

Answer:

\(f(x)=2x^2+8x-5\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{5.6 cm}\underline{Vertex form of a quadratic equation}\\\\$y=a(x-h)^2+k$\\\\where:\\ \phantom{ww}$\bullet$ $(h,k)$ is the vertex. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}\)

Given:

Substitute the given vertex and point into the Vertex formula and solve for a:

\(\implies -5=a(0-(-2))^2+(-13)\)

\(\implies -5=a(0+2)^2-13\)

\(\implies -5=4a-13\)

\(\implies 4a=8\)

\(\implies a=2\)

Substitute the given vertex and found value of a into the Vertex formula:

\(y=2(x+2)^2-13\)

The standard form of a quadratic function is  f(x) = ax² + bx + c

Expand the function in vertex form to standard form:

\(\implies y=2(x^2+4x+4)-13\)

\(\implies y=2x^2+8x+8-13\)

\(\implies y=2x^2+8x-5\)

Answer:

99.20

Step-by-step explanation:

Okay let me show you how to do this. This is very easy so please do not complicate yourself.

"62/5" means 62 divided by 5.

We need to divide 62 by 5. So: 62 ÷ 5 = 12.40

Now that we've simplified the fraction, this is now what we have: 12.40 × 8

So now we need to multiply 12.40 by 8.

12.40 × 8 = 99.20

And there's your answer!

After answering the presented question, standard deviation t Lower bound = X - \((t * (s/\sqrt(n))) = 1271.89 - (1.860 * (34.753/\sqrt(9))) = 1238.94\)

A statistic that expresses the variability or variation of a bunch of values is the standard deviation. A high standard deviation indicates that the values are more distributed, whereas a low standard deviation indicates that the numbers are closer to the set mean. The standard deviation is a measure of how far the data are from the mean (or ). When the standard deviation is small, the data tends to cluster around the mean; when it is great, the data is more spread. The standard deviation represents the average variability of the data collection. It displays the average deviation from the mean of each score.

Next, we need to find the t-value for a 90% confidence interval with 8 degrees of freedom (n-1):

t = t(0.05, 8) = 1.860

Now we can calculate the lower and upper bounds of the confidence interval:

Lower bound = X - \((t * (s/\sqrt(n))) = 1271.89 - (1.860 * (34.753/\sqrt(9))) = 1238.94\)

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Answer:

d. 11050

Step-by-step explanation:

1. you're dividing to see how much one costs, 4420 divided by 4 = 1105

2. multiply by 10, 1105 x 10 = 11050 (add a zero)

Answer:

i dont know the exact answer but i can give you the instuctions on how to do do it.

Step-by-step explanation:

1. Cut 4420 in half (4420 divided by 2). Store that for later. This is two hours.

2. Multiply 4420 by 2 (This will give you 8 hours which, in mathematics, when added with two is ten.)

3. Add the answers you got from 1 and 2 to get your answer.

And there you have it.

Hope this helps!  

-Alex

Answer:

3.20 gallons

Step-by-step explanation:

The choose C. –1.5

I hope I helped youI hope ^_^

The probability that all three number cubes will land on an odd number is 1/8

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

Number of cubes = 3

Sections on each cube = 6

Odd sections on each cube = 3

This means that

P(Odd) = Odd sections/Total sections

So, we have the following representation

P(Odd) = 3/6

Simplify

P(Odd) = 1/2

For the three cubes, we have

P(All odd) = P(Odd)^Number of cubes

Substitute the known values in the above equation, so, we have the following representation

P(All odd) = (1/2)³

Evaluate

P(All odd) = 1/8

Hence, the probability is 1/8

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Answer: 1/8

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Given:

The ratio of sides of triangle MAP is 2:3:5.

To find the smallest angle:

Let the sides be 2x, 3x, and 5x.

Using the angle sum property of the triangle,

Therefore, the smallest angle is,

Hence, the smallest angle is 36 degrees.

Step-by-step explanation:

Hello, first you have to substitute x=-3 in 12-3x which is 12-3(-3)= 12+9=21. So number 1 is 21. You continue like that till you finish.

2. You substitute x=-3 in y=x^2 +3x - 2. So that would be y= - 3^2+3(-3)-2. Which is 9+(-9)-2 which will be 9-9-2=-2. So the first blank space for number 2 is - 2.

Answer:

A

Step-by-step explanation:

The product of  the expression \(\frac{x^2 - 16}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}\)  is \(\frac{x(x- 1)(x - 4)}{x(x + 4)}\)

An expression is an algebraic term used for a mathematical statement that include variables and mathematical operations

Below is how to calculate the product

The product expression is given as:

\(\frac{x^2 - 16}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}\)

Express x^2 - 16 as a difference of two squares

\(\frac{(x - 4)(x + 4)}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}\)

Divide the expression

\(\frac{x - 4}{2} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}\)

Factorize the other fraction

\(\frac{x - 4}{2} * \frac{x(x^2 - 2x + 1)}{(x -1)(x + 4)}\)

Further factorize

\(\frac{x - 4}{2} * \frac{x(x- 1)(x - 1)}{(x -1)(x + 4)}\)

Divide

\(\frac{x - 4}{2} * \frac{x(x- 1)}{x + 4}\)

Multiply the fractions

\(\frac{x(x- 1)(x - 4)}{x(x + 4)}\)

Hence, the product of  \(\frac{x^2 - 16}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}\)  is \(\frac{x(x- 1)(x - 4)}{x(x + 4)}\)

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g is the centroid of triangle abc, the value of x is 2/3.

The length of segment DG is (2/3) * (length of AB) ,The length of segment AG is (1/3) * (length of AB),The length of segment AD is (1/3) * (length of AB).

The centroid of a triangle is the point at which the three medians of the triangle intersect each other. In other words, it is the point of intersection of the three lines which each divide the opposite side of the triangle into two equal parts.

Let us consider a triangle ABC with vertices A (a1, b1), B (a2, b2), and C (a3, b3). The x coordinate of the centroid G (x, y) is given by:

x = (a1 + a2 + a3) / 3

The y coordinate of the centroid G (x, y) is given similarly as x

In your question, the x coordinate of the centroid G is given as x = 2/3. This means that the x coordinate of G is 2/3 of the way between A and B.

Therefore, the length of segment DG is (2/3) * (length of AB).

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It's called the "y intercept" and it's the y value of the point where the line intersects the y- axis. For this line, the y-intercept is "negative 1." You can find the y-intercept by looking at the graph and seeing which point crosses the y axis. This point will always have an x coordinate of zero.

Sadly the question is incomplete, so we can not see the described transformation of the parent function, thus we can't see the error in that description.

What we can do is describe the transformation shown here.

Here we can see the parent function:

f(x) = x^2

This function opens upwards, so what we see in the graph is this function reflected across the horizontal axis (the x-axis). So the transformation is just a reflection across the x-axis.

(notice that it passes through (-1, -1) and (1, -1), so there is no dilation nor contraction)

For a general function f(x), a reflection across the x-axis is just:

g(x) = -f(x)

So here the transformed function is:

g(x) = - x^2

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Answer:

\(y = x - \frac{2}{3} \)

from

\(y = mx + c\)

Step-by-step explanation:

since the gradient of the line is 0

The walkway is 12 feet 9 inches long.

To find the total length of the walkway, we need to add the lengths of the three boards together.

The first board is 3 feet 7 inches long, which can be written as 3'7".

The second board is 5 feet 4 inches long, which can be written as 5'4".

The third board is 3 feet 10 inches long, which can be written as 3'10".

Now, let's add the lengths together:

3'7" + 5'4" + 3'10"

When adding feet and inches, we need to carry over any extra inches beyond 12 to the feet.

Adding the inches first:

7" + 4" + 10" = 21"

Now, let's add the feet:

3' + 5' + 3' = 11'

So, the total length of the walkway is 11 feet 21 inches.

We need to convert the inches to feet by dividing by 12:

11' + 21" ÷ 12 = 11' + 1'9" = 12'9"

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Answer:

Please find attached pdf

Step-by-step explanation:

Step-by-step explanation:

P=(-3,-4)=(X1,Y1)

Q=(6,-7)=(X2,Y2)

Pq=root under( x2-x1)^2+(y2-y1)^2

= root under {6-(-3)}^2+{-7-(-4)}^2

= {6+3}^2+{-7+4}^2

= 9^2+(-3)^2

= 81+9

= 90

= 3root under10 unit.#

Answer:

4 brownies because 1/4 cup of sugar is used to make one brownie so if we use a whole 4/4 cups of sugar we would be able to make 4 brownies

According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99

A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.

B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.

To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.

Note: The given question is incomplete. The complete question is:

Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.

A) find the number of adults in terms of 'N'.

B) if there are 124 children how many adults are there?​

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Answer:

F. 5±√15/3

Step-by-step explanation:

NONE OF THESE ANSWER CHOICES ARE CORRECT, F IS JUST THE CLOSEST ONE

Quadratic formula is x = (-b±√(b^2-4ac))/2a

in this case, a=3, b=(-10), and c=5

When you input those values into the equation, you get x = (-(-10)±√(-10^2-4(3)(5))/2(3)

When you solve that equation, you get

x = 5±√10/3

F is the closest option to that answer so I chose F

Please mark as brainliest ;)

Step-by-step explanation:

area of rrctangle:

12×8= 96cm²

now if rectangle dissapears and then we "glue" what's left, we gonna get two circles

area of circle which gas diameter of 12cm( so radius will be 6cm)will be

πr²=36π≈113.04

another circles radius is 4cm,so area is:

16π≈50.25

sum of all areas: S≈96+113.04+50.25≈259.28cm2

The intervals are denoted as:

Closed intervals = [a, b]

This interval includes a and b.

Open intervals = (a, b)

This interval does not include a and b.

The interval that denotes the values between -4 and 3 on the given number line is [-4, 3].

What are intervals?

The intervals are numbers or values between two given point

The intervals are denoted as:

Closed intervals = [a, b]

This interval includes a and b.

Open intervals = (a, b)

This interval does not include a and b.

We have

A number line.

The set of values that is in the blue line is from -4 to 3.

This means that the blue line includes values from -4 to 3.

There are infinite numbers between -4 to 3.

The blue line denoted that the values -4 and 3 are also included.

The interval that denotes the values between -4 and 3 is:

= [-4, 3]

Thus,

The interval that denotes the values between -4 and 3 on the given number line is [-4, 3].

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The account offers an annual interest rate of 3.07 percent, assuming quarterly compounding.

A financial institution provides a "double-your-money" savings account in which you will have $2 in 6 years for every dollar you invest today. This means that the investment grows by a factor of two over six years, resulting in an annual growth rate of 12.25 percent,

given the quarterly compounding interest.What is the method for calculating the rate of return?

The formula for calculating the rate of return on a compounding basis is:(1 + r/n)^(nt) = P/FWhere:r = the annual interest rate (stated);n = the number of compounding periods per year;t = the number of years the investment is held;P = the initial amount invested;

F = the final amount accumulated.The formula is solved for the annual interest rate, r, by using logarithms:(1 + r/n)^(nt) = P/Fr = n [(F/P) ^ (1/nt) - 1]

Let's put the given values into the formula to calculate the annual interest rate:We know that the investment will double in 6 years.

Therefore, the final amount will be $2.P = 1 dollar (the amount invested)F = 2 dollars (the final amount accumulated)t = 6 yearsn = 4 (since the interest is compounded quarterly)Substitute these values into the formula:r = 4 [(2/1)^(1/24) - 1]≈ 0.0307 (or 3.07%)

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If we had bought a season ticket in the bleacher section, costing

a season has 81 home games, so the cost per game would be

Therefore the cost per game for a season ticket holder is $10

Answer:

Ali is a boy

Step-by-step explanation:

Ali is a good boy

The value of the required missing angle is;

m<JKM = 35°

We know from geometry that the sum of angles in a triangle sums up to 180 degrees.

Now, we are trying told that in the given Triangle that the angle m<J = 55 degrees.

We also see that the angle <KMJ is equal to 90 degrees becasue it is a right angle.

Thus to find the angle m<JKM, we can write the name expression as;

m<JKM = 180 - (90 + 55)

m<JKM = 35°

Thus that's the value of the required missing angle.

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Answer:

You would multiply 1/4 by 2/2 in order to get a common demoninator. The answer is 1/8.

Step-by-step explanation:

The correct answer is c. mass, height.

If you increase the mass of an object and raise it to a higher height, you will increase its amount of potential energy. Potential energy is directly proportional to both mass and height.

The potential energy of an object in a gravitational field is given by the equation:

Potential Energy = mass * gravitational acceleration * height

By increasing the mass (m) and the height (h), the potential energy (PE) of the object increases:

PE ∝ m * h

Therefore, increasing the mass and height of an object will increase its potential energy.

The total amount in her account after t years will be 1500 + 30t.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

The total amount A in an account earning simple interest is given by the equation A = P + Prt, where P is the principal, r is the rate as a decimal, and t is time in years.​

Faith deposited $1500 in an account earning 2% simple interest.

The total amount in her account after t years will be

A = 1500 + 1500 × 0.02 × t

A = 1500 + 30 × t

The total amount in her account after t years will be 1500 + 30t.

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Answer:

0.97725

Step-by-step explanation:

Given :

Population mean, μ = 4.2

Population standard deviation, σ = 1.8

Sample size, n = 36

Obtain the Zscore of x = 4.8

Zscore = (x - μ) ÷ (σ / √n)

Zscore = (4.8 - 4.2) ÷ (1.8 / √36)

Zscore = 0.6 ÷ 0.3

Z = 2

Hence,

P(Z ≤ 2)

Using the Z probability calculator :

P(Z ≤ 2) = 0.97725