144 = -12 (x + 5)

find x

Show work.

Answer:

To find the five-number summary of a data set, we need to find the minimum value, the first quartile (Q1), the median, the third quartile (Q3), and the maximum value.

We can first put the data set in order from smallest to largest:

14, 17, 19, 23, 25, 28, 30, 34, 40, 43

The minimum value is 14, and the maximum value is 43.

To find the median, we need to find the middle value. Since there are 10 numbers in the data set, the median is the average of the fifth and sixth values:

Median = (25 + 28) / 2 = 26.5

To find the first and third quartiles, we can use the median as a reference point. The first quartile (Q1) is the median of the lower half of the data set, and the third quartile (Q3) is the median of the upper half of the data set.

The lower half of the data set consists of the first five values:

14, 17, 19, 23, 25

The median of these values is:

Q1 = (19 + 23) / 2 = 21

The upper half of the data set consists of the last five values:

28, 30, 34, 40, 43

The median of these values is:

Q3 = (34 + 40) / 2 = 37

Therefore, the five-number summary for this data set is:

Minimum = 14

Q1 = 21

Median = 26.5

Q3 = 37

Maximum = 43

Looking at the answer choices, we can see that option C is the correct answer:

OA. 14, 19, 29, 34, 43

B. 14, 23, 26.5, 30, 43

C. 14, 19, 26.5, 34, 43

OD. 14, 23, 29, 30, 43

Answer:

-10

Step-by-step explanation:

3(2) + 4(-4) = 6 + (-16) = -10

Answer: 177.65

Step-by-step explanation:

its the only accurate  answer.........

Step-by-step explanation:

directly proportional means

y = kx

with k being a constant factor for all values of x.

we get k by using the given data point (10, 15).

15 = k×10

k = 15/10 = 1.5

so, now for the other tree we know k and x and calculate y

y = 1.5×14.4 = 21.6 m

it is 21.6 m tall (its height is 21.6 m).

Answer:

95234

Step-by-step explanation:

5602 x 17 = 95234

Daniella: Were you thinking of perpendicular lines?

Ori: It seems like you've got the basic idea, but your definition could be more precise.

Kaori: Yes! Well done. Here, have a cookie. You've earned it.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

7.66+4.46+14.29

number 1: 7.66

number 2: 4.46

number 3: 14.29

Step 02:

Round each number to the nearest integer.

number 1: 7.66 ===> 8

number 2: 4.46 ===> 4

number 3: 14.29 ===> 14

8 + 4 + 14 = 26

7.66+4.46+14.29 = 26.41

The estimate by rounding the numbers is reasonable but not totally accurate.

That is the full solution.

The value of matrix A is \(A =\left[\begin{array}{cc}0&4\\-8&12\end{array}\right]\)

The given parameters are:

\(\lambda_1 = 4\) at \(v_1 = \left[\begin{array}{c}1&1\end{array}\right]\)

\(\lambda_2 = 8\) at \(v_2 = \left[\begin{array}{c}1&2\end{array}\right]\)

The matrix A is calculated using:

A = S ∧ S⁻¹

Where:

\(S = \left[\begin{array}{cc}v_1&v_2\end{array}\right]\)

\(\lambda = \left[\begin{array}{cc}\lambda_1&0\\0&\lambda_2\end{array}\right]\)

\(\lambda =\left[\begin{array}{cc}4&0\\0&8\end{array}\right]\)

Next, we have:

\(S = \left[\begin{array}{cc}v_1&v_2\end{array}\right]\)

This gives

\(S =\left[\begin{array}{cc}1&1\\1&2\end{array}\right]\)

Calculate the determinant of S

|S| = 1 * 2 - 1 * 1

|S| = 1

So, the inverse of S is:

\(S^{-1} = \frac{1}{1} * \left[\begin{array}{cc}2&-1\\-1&1\end{array}\right]\\\)

Evaluate

\(S^{-1} = \left[\begin{array}{cc}2&-1\\-1&1\end{array}\right]\\\)

Recall that:

A = S ∧ S⁻¹

So, we have:

\(A =\left[\begin{array}{cc}1&1\\1&2\end{array}\right] * \left[\begin{array}{cc}4&0\\0&8\end{array}\right] * \left[\begin{array}{cc}2&-1\\-1&1\end{array}\right]\)

Multiply the first two matrices

\(A =\left[\begin{array}{cc}1 * 4 + 1 * 0&1 * 0 + 1 * 8\\1 * 4 + 2 * 0&1 * 0 + 2 * 8\end{array}\right] * \left[\begin{array}{cc}2&-1\\-1&1\end{array}\right]\)

Evaluate

\(A =\left[\begin{array}{cc}4&8\\4&16\end{array}\right] * \left[\begin{array}{cc}2&-1\\-1&1\end{array}\right]\)

Evaluate the product

\(A =\left[\begin{array}{cc}4*2+8*-1&4 * -1 + 8 * 1\\4 * 2 + 16 * -1&4 * -1 + 16 * 1\end{array}\right]\)

Evaluate

\(A =\left[\begin{array}{cc}0&4\\-8&12\end{array}\right]\)

Hence, the value of matrix A is \(A =\left[\begin{array}{cc}0&4\\-8&12\end{array}\right]\)

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Answer:

The first option.

Step-by-step explanation:

y-intercept equation: y=mx+b

mx=slope

b=y-intercept

Looking at the graph, we can know that the slope is 1/3x so we can eliminate the 2nd choice. Now, we fix the second inequality into the y-intercept form which is

1st option: y>3x-2

3rd option: y>-3x+2

4th option: y>2x-2

Now, looking at the blue graph, the slope is 3x. And looking at the y-intercept,  it is on -2.

So, it will be the first option!

Hope this helps, and BRAINLIEST would help me a lot!

Answer:

2 = 10^(2x-1)

Step-by-step explanation:

Imma assume the "," is 10,

So basically, it's just 2 = 10^(2x-1) I think, sorry if I'm wrong tho

Answer:

Grogg's dad is 22

Step-by-step explanation:

Let D = dad's current age

Let g = Grogg's current age

6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g

4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g

Set the two equations equal to each other and solve for d

6d - 35 = 4d - 9  Subtract 4d from both sides

2d -35 = -9  Add 35 to both sides

2d = 44  Divide both sides by 2

d = 22

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

d = current dad age

g = current grogg age

d-7 = 6(g-7)

d-3 = 4(g-3)

Let's solve the first equation first:

Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35

Substitude d = 6g - 35 for d in d - 3 = 4g - 12

(6g-35)-3 = 4g-12 = 6g-38 = 4g-12

Subtract 4g from both sides: 2g - 38 = -12

Add 38 to both sides: 2g = 26

Easy: g = 13

And now substitude g in for any equations.

d-3 = 52-12

d = 43

The simplified form of the given expression as a fraction is 7x/x-7

Fractions  are written as a ratio of two integers. For instance a/b is a fraction where a and b are integers.

Given the expression below;

(1/7+1/x)/(1/49+1/x²)

Find the LCM to have:

(x+7/7x)/(x²-49)/49x²

Divide to have:

x+7/7x * 49x²/(x²-49)

(x+7) * 7x/(x+7)(x-7)

Cancel out the like terms to have:

1 * 7x/x-7

= 7x/x-7

Hence the simplified form of the given expression as a fraction is 7x/x-7

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The function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.

To complete the square for the function g(x) = 4x² - 28x + 49, we follow these steps:

Step 1: Divide the coefficient of x by 2 and square the result.

  (Coefficient of x) / 2 = -28/2 = -14

  (-14)² = 196

Step 2: Add and subtract the value obtained in Step 1 inside the parentheses.

  g(x) = 4x² - 28x + 49

  = 4x² - 28x + 196 - 196 + 49

Step 3: Rearrange the terms and factor the perfect square trinomial.

  g(x) = (4x² - 28x + 196) - 196 + 49

  = 4(x² - 7x + 49) - 147

  = 4(x² - 7x + 49) - 147

Step 4: Write the perfect square trinomial as the square of a binomial.

  g(x) = 4(x - 7/2)² - 147

Therefore, the function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.

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The probable question may be:

Rewrite the function by completing the square.

g(x)=4x²-28x +49

g(x)= ____  (x+___ )²+____.

Answer:

(-9,-6) ,(-3,0),(-2,1),(4,7)(6,9)

Answer:

x = -9 —> f(x) = – 6

x = -3 —> f(x) = 0

x = -2 —> f(x) = 1

x = 4 —> f(x) = 7

x = 6 —> f(x) = 9

Step-by-step explanation:

x = -9 —> f(x)= x+3 —> f(-9)= -9+3 = -6 —> f(x) = – 6

x = -3 —> f(x)= x+3 —> f(-3)= -3+3 = 0 —> f(x) = 0

x = -2 —> f(x)= x+3 —> f(-2)= -2+3 = 1 —> f(x) = 1

x = 4 —> f(x)= x+3 —> f(4)= 4+3 = 7 —> f(x) = 7

x = 6 —> f(x)= x+3 —> f(6)= 6+3 = 9 —> f(x) = 9

I hope I helped you^_^

Answer:

seeeeeeeeeeee i told u

see

Answer:

The answer is 36

Step-by-step explanation:

Let the number be x

7 less than the quotient of a number and 3 is written as

The result is 5

So we have

Move - 7 to the right side of the equation

That's

Multiply both sides by 3 to make x stand alone

We have

We have the final answer as

Hope this helps you

Ian earned $500 in simple annual interest after 10 years, while Jackson earned $1,128.89 more in interest than Ian after 10 years due to compound interest.

Ian's account earns simple annual interest, which means that he earns 5% interest on his initial deposit every year. After 10 years, he will have earned

interest = principal x rate x time

interest = 1000 x 0.05 x 10

interest = $500

Jackson's account earns interest that is compounded annually, which means that he earns 5% interest on his initial deposit plus any interest that has already been earned every year. After 10 years, he will have earned

\(balance = principal x (1 + rate)^{time}\)

balance = 1000 x (1 + 0.05)¹⁰

balance = $1,628.89

To find out how much more interest Jackson earned than Ian, we need to subtract the interest Ian earned from the balance in Jackson's account

$1,628.89 - $500 = $1,128.89

Therefore, Jackson earned $1,128.89 more in interest than Ian after 10 years.

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Answer:

B

Step-by-step explanation:

Yes, because for each input there is exactly one output. You can have two of the same x values but you cannot have 2 of the same y values. if you have two of the same y values, it is not a function as it doesn't pass the vertical line test.

Answer:

h= 3x/x −5

Step-by-step explanation:

hx=3x−5

Step 1: Divide both sides by x.

hx/x = 3x/x −5

h= 3x/x −5

        x

Answer:

h= 3x/x −5

Henry's chances of getting a second turn when he rolls the number cubes are 1/9 or approximately 11/18.

To find Henry's chances of getting a second turn when he rolls the number cubes, we need to find the probability of rolling an even number less than 10.

First, let's find the total number of possible outcomes when rolling two number cubes. Each cube has 6 possible outcomes (1, 2, 3, 4, 5, or 6), so the total number of possible outcomes is 6 x 6 = 36.

Next, let's find the number of outcomes that meet the criteria for a second turn (even number less than 10). We can list out all the possible outcomes that meet these criteria:

2 (1+1)

4 (1+3 or 2+2)

6 (1+5 or 2+4 or 3+3)

8 (2+6 or 3+5 or 4+4)

So, there are 4 outcomes that meet the criteria for a second turn.

To find the probability, we divide the number of favourable outcomes (4) by the total number of possible outcomes (36).

4/36 = 1/9

So Henry's chances of getting a second turn when he rolls the number of cubes are 1/9 or approximately 11/18.

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.

The slope of the line passing through the points (-6, 1) and (8, -7) is -4/7.

Slope is simply expressed as change in y over the change in x.

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given the data in the question;

Point A: ( -6,1 )

x₁ = -6

y₁ = 1

Point B: ( 8,-7 )

x₂ = 8

y₂ = -7

Now, plug the given x and y values into the slope formula above and simplify:

\(Slope\ m = \frac{y_2 - y_1}{x_2 - x_1} \\\\Slope\ m = \frac{-7 - 1}{8 - (-6)} \\\\Slope\ m = \frac{-7 - 1}{8 + 6} \\\\Slope\ m = \frac{-8}{14} \\\\Slope\ m = -\frac{4}{7}\)

Therefore, the slope of the line is -4/7.

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Answer:

-10.8

Step-by-step explanation:

-8.1 + 1.3 = -6.8 + -4 = -10.8

Hope this helps mate

Answer:

h = 61.25 m

Step-by-step explanation:

It is given that,

The initial velocity of the ball, v = 60 m/s

It is thrown from a height of 5 feet, \(h_o=5\ ft\)

We need to find the maximum height it reaches. The height reached by the projectile as a function of time t is given by :

\(h=-16t^2+vt+h_0\)

Putting all the values,

\(h=-16t^2+60t+5\) .....(1)

For maximum height, put

\(\dfrac{dh}{dt}=0\\\\\dfrac{-16t^2+60t+5}{dt}=0\\\\-32t+60=0\\\\t=\dfrac{-60}{-32}\\\\t=1.875\ s\)

Put t = 1.875 in equation (1)

\(h=-16(1.875)^2+60(1.875)+5\\\\h=61.25\ m\)

So, the maximum height reached by the ball is 61.25 m.

This function written in vertex form include the following: A. f(x) = (x –1)² – 7.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

For the given quadratic function f(x) = x² – 2x – 6, we have:

a = 1, b = -2, and c = -6

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(-2)/2(1)

Axis of symmetry, Xmax = 2/2

Axis of symmetry, Xmax = 1.

Next, we would determine vertex as follows;

f(x) = x² – 2x – 6

f(x) = 1² – 2(1) – 6

f(x) = -7.

Now, we can write quadratic function in vertex form;

f(x) = a(x - h)² + k

f(x) = (x - 1)² - 7

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Complete Question:

The image shows a geometric representation of the function f(x) = x² – 2x – 6 written in standard form.

What is this function written in vertex form?

f(x) = (x –1)² – 7

f(x) = (x +1)² – 7

f(x) = (x –1)² – 5

f(x) = (x +1)² – 5

Answer:

a) 15yd

b)2.45ft

Step-by-step explanation:

P = perimeter, l=length and w = width of the rectangle

P = 2l+2w

a) 40 = 2l+2(5)

40 = 2l+10

30=2l

15=l

b) 18.4 = 2(6.75) + 2w

18.4 = 13.5+2w

4.9=2w

2.45=w

Answer:

-1 and 2

Step-by-step explanation:

The dollar value of total revenue at each price is $\(0\), $\(10\), $\(12\), $\(12\), $\(10\), and $\(6\). Total revenue will be the greatest at a price of $\(4\), with \(3\) units sold.

To find the dollar value of total revenue at each price, we can multiply the price by the corresponding quantity in the demand schedule:

Price: $\(6\)

Quantity: \(0\)

Total Revenue: $\(6 \times 0\) = $\(0\)

Price: $\(5\)

Quantity: \(2\)

Total Revenue: $\(5 \times 2\) = $\(10\)

Price: $\(4\)

Quantity: \(3\)

Total Revenue: $\(4 \times 3\) = $\(12\)

Price: $\(3\)

Quantity: \(4\)

Total Revenue: $\(3 \times 4\) = $\(12\)

Price: $\(2\)

Quantity: \(5\)

Total Revenue: $\(2 \times 5\) = $\(10\)

Price: $\(1\)

Quantity: \(6\)

Total Revenue: $\(1 \times 6\) = $\(6\)

To determine at which price the total revenue will be the greatest, we observe that the highest total revenue occurs at the price with the highest quantity sold. In this case, the price with the highest quantity is $\(3\), and the corresponding quantity sold is \(4\) units.

Therefore, at a price of $\(3\), the total revenue will be the greatest, with \(4\) units sold.

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