Solve for x: 7x – 7 = 7
PLS BE QUICK

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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Answer:naneeeeee

Step-by-step explanation:

1. The quadratic function for the Area in terms of x: A(x) = 24x.

2. The cross-sectional area is maximized when the depth of the gutter is 0.

3. The maximum cross-sectional area is square inches 0.

To determine the depth of the gutter that maximizes its cross-sectional area and allows the greatest amount of water to flow, we need to follow a step-by-step process.

1. Write a quadratic function for the area in terms of x:

The cross-sectional area of the gutter can be represented as a rectangle with a width of 24 inches and a depth of x. Therefore, the area, A(x), is given by A(x) = 24x.

2. The cross-sectional area is maximized when the depth of the gutter is:

To find the value of x that maximizes the area, we need to find the vertex of the quadratic function. The vertex of a quadratic function in form f(x) = ax² + bx + c is given by x = -b/(2a). In our case, a = 0 (since there is no x² term), b = 24, and c = 0. Thus, the depth of the gutter that maximizes the area is x = -24/(2 * 0) = 0.

3. The maximum cross-sectional area is square inches:

Substituting the value of x = 0 into the quadratic function A(x) = 24x, we get A(0) = 24 * 0 = 0. Therefore, the maximum cross-sectional area is 0 square inches.

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The inverse of matrix A, if it exists, is:

A^(-1) = [7/43, 2/43; 10/43, 9/43]

To find the inverse of a matrix A, we need to determine if the matrix is invertible by calculating its determinant. If the determinant is non-zero, then the matrix has an inverse.

Given the matrix A = [9, -2; -10, 7], we can calculate its determinant as follows:

det(A) = (9 * 7) - (-2 * -10)

= 63 - 20

= 43

Since the determinant is non-zero (43 ≠ 0), we can proceed to find the inverse of matrix A.

The formula to calculate the inverse of a 2x2 matrix is:

A^(-1) = (1/det(A)) * [d, -b; -c, a]

Plugging in the values from matrix A and the determinant, we have:

A^(-1) = (1/43) * [7, 2; 10, 9]

Simplifying further, we get:

A^(-1) = [7/43, 2/43; 10/43, 9/43].

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Solve for x by simplifying both sides of the equation, then isolating the variable.

x=−2

hope this is what your looking for

Answer:

x = -2

Step-by-step explanation:

\(-4+x=\frac{3}{4}x-\frac{9}{2}\)

\(\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\)

\(-4+x+4=\frac{3}{4}x-\frac{9}{2}+4\)

\(Simplify\)

\(x=-\frac{1}{2}+\frac{3}{4}x\)

\(\mathrm{Subtract\:}\frac{3}{4}x\mathrm{\:from\:both\:sides}\)

\(x-\frac{3}{4}x=-\frac{1}{2}+\frac{3}{4}x-\frac{3}{4}x\)

\(\frac{1}{4}x=-\frac{1}{2}\)

\(\mathrm{Multiply\:both\:sides\:by\:}4\)

\(4\cdot \frac{1}{4}x=4\left(-\frac{1}{2}\right)\)

\(x=-2\)

~lenvy~

Answer: 3(x^2 + 4)/(x - 5)(x + 4)

Step-by-step explanation:

To simplify, begin with 3x^2 + 12 by dividing by 3 first: 3(x^2 + 4)

x^2 - x - 20 can be simplified into (x - 5) (x + 4). To find these terms, you have to figure out what two numbers multiply together to equal -20 but also add to -1.

Answer:

Domain: [-6, 2]

Range: [-4, 0]

Function: Yes

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

A relation is a function if each x value corresponds to only one y-value.

Answer:

21.94% of people aged 20 to 34 have IQs between 125 and 150.

Step-by-step explanation:

The complete question is: Scores on the Wechsler Adult Intelligence Scale (a standard IQ test) for the 20 to 34 age group are approximately Normally distributed with  μ = 110  and  σ = 25.

What percent of people aged 20 to 34 have IQs between 125 and 150?

Let X = Scores on the standard IQ test for the 20 to 34 age group

SO, X ~ Normal(\(\mu=110,\sigma^{2} =25^{2}\))

The z-score probability distribution for the normal distribution is given by;

                            Z  =  \(\frac{X-\mu}{\sigma}\)  ~ N(0,1)

where, \(\mu\) = population mean = 110

            \(\sigma\) = standard deviation = 25

Now, the percent of people aged 20 to 34 have IQs between 125 and 150 is given by = P(125 < X < 150) = P(X < 150) - P(X \(\leq\) 125)

       P(X < 150) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{150-110}{25}\) ) = P(Z < 1.60) = 0.9452

       P(X \(\leq\) 125) = P( \(\frac{X-\mu}{\sigma}\) \(\leq\) \(\frac{125-110}{25}\) ) = P(Z \(\leq\) 0.60) = 0.7258

The above probability is calculated by looking at the value of x = 1.60 and x = 0.60 which has an area of 0.9452 and 0.7258.

Therefore, P(125 < X < 150) = 0.9452 - 0.7258 = 0.2194 or 21.94%

Answer:

The cost for each pound of jelly beans and each pound of almonds is $1.25 and $2.25  respectively.

Step-by-step explanation:

Let the cost for each pound of jelly beans and each pound of almonds be x and y respectively.

ATQ,

For 5 pounds of jelly beans and 3 pounds of almonds, the total cost is $13.

5x+3y = 13 ...(1)

For 2 pounds of jelly beans and 6 pounds of almonds, the total cost is $16.

2x+6y = 16

x + 3y = 8 ....(2)

Subtract equation (2) from (1)

5x+3y-(x + 3y)= 13-8

4x = 5

x = 5/4

x = $1.25

Put the value of x in equation (2) as follows :

1.25 + 3y = 8

3y = 8-1.25

y =$2.25

Hence, the cost for each pound of jelly beans and each pound of almonds is $1.25 and $2.25  respectively.

Answer:

D

Step-by-step explanation:

2² + 6² = x²

4 + 36 = x²

40 = x²

x = 2√10

Answer:

Combination with repetition

Step-by-step explanation:

This is a combination since the order in which Jackson purchases the fruit does not matter. Repetition is allowed (he’s at the store so he can buy as many as he wants).

The number of different collections of fruit can he choose should be considered when there is Combination with repetition

Since he can buy any 3 fruit (the store sells apples, oranges, pears, bananas, strawberries,blueberries, and kiwis)

So here it is the combination because the order where Jackson buy the fruit should not matter. Also, the repetition should be allowed that means he buy as he needs.

Therefore, the first option is correct.

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Answer:

linear function

Step-by-step explanation:

straight line then add up

Answer:

Mary has the better deal

Step-by-step explanation:

Jennifer's $1.35 * 12 = $16.20

Mary's 12 flowers = $15.96

Answer: Mary's flower shop

Step-by-step explanation:

$1.35 x 12 is $16.20 which means buying a dozen flowers from Jennifer's flower shop is 24 cents more.

PART 1: (a)The value of x in the pie graph is x = 30°

PART 2: (a)The value of x is 36°

(c) percentage of students for soccer is 25%

PART 3: (a)The value of Art is 165°

PART 1

(a) The value of x in the pie graph can be found by subtracting the other values from 360° because the sum of angles in a circle is 360°. That is:

x = 360 - 180 - 60 - 45 - 45 = 30°

(b) frequency = (angle of the part)/360 * 20

Baksket ball = 162/360 * 20 = 12

Bus        12

Car         4

Train       3

Walk       2

Bicycle   3

PART 2

(a) The value of x can be found by subtracting the other values from 360° because the sum of angles in a circle is 360°. That is:

x = 360 - 150 - 45 = 36°

(b) frequency = (angle of the part)/360 * 24

Basketball = 180/360 * 24 = 9

Basketball  9

Tennis        2

Hurling       4

Soccer       5

(c) percentage of student for soccer = 5/20 * 100 = 25%

PART 3

(a) The value of Art can be found by subtracting the other values from 360° because the sum of angles in a circle is 360°. That is:

Art = 360 - 162 - 90 - 72 = 165°

(b) frequency = (angle of the part)/360 * 120

Technology = 150/360 * 120 = 50

Technology  50

Music            15

Art                 55

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Answer:

15 adult, 45 student

Step-by-step explanation:

5x+2y=165

x+y=60

x = 60-y

300-5y+2y=165

-3y = -135

x= 15

y= 45

Answer:

give them all a common denominator

1/3= 2/6

5/6= 5/6

1/2= 3/6

1/6= 1/6

and then use the "new" fraction to order the other ones. but be sure to use the original values, not the ones you made using the GCF. so the answer would be:

1/6, 1/3, 1/2, 5/6

The appropriate hypotheses for the researcher are: Null hypothesis: p <= 0.5 and Alternative hypothesis: p > 0.5.

In statistics, a hypothesis is an assumption or proposition about a population parameter, based on sample data. A hypothesis is a statement that is tested to determine whether it is true or false. It is an important component of statistical inference, which involves drawing conclusions about a population based on a sample of data. There are two types of hypotheses in statistics: the null hypothesis and the alternative hypothesis. The null hypothesis is the hypothesis that is tested against the alternative hypothesis. It is usually a statement of "no effect" or "no difference" between two groups or conditions. The alternative hypothesis is the hypothesis that is accepted if the null hypothesis is rejected. It is usually a statement of an effect or difference between two groups or conditions.

Here,

The null hypothesis states that the proportion of households in the city that gave a charitable donation in the past year is less than or equal to 50 percent. The alternative hypothesis states that the proportion of households that gave a charitable donation is greater than 50 percent. The researcher will test these hypotheses using the sample data to determine whether there is convincing statistical evidence to support the alternative hypothesis.

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Answer:

3399.168

Step-by-step explanation:

Answer:

399.168

Step-by-step explanation:

The expanded form of 21,477,737 will be (2 × 10⁷ + (1 × 10⁶) + (4 × 10⁵) + (7 × 10⁴) + (7 × 10³) + (7 × 10²) + (3 × 10) + (7 × 1).

Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.

When a mathematical object is increased by a multiplier that is bigger in actual values than one, an expansion follows.

In another word, if you solve a factor by opening the bracket then you will go to get on some expanded term called expansion.

The digit  21,477,737 can be expanded like that

21,477,737 = 20000000 + 1000000 + 400000 + 70000 + 700 + 30 + 7

21,477,737 =  (2 × 10⁷ + (1 × 10⁶) + (4 × 10⁵) + (7 × 10⁴) + (7 × 10³) + (7 × 10²) + (3 × 10) + (7 × 1).

Hence "The expanded form of 21,477,737 will be (2 × 10⁷ + (1 × 10⁶) + (4 × 10⁵) + (7 × 10⁴) + (7 × 10³) + (7 × 10²) + (3 × 10) + (7 × 1)".

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Answer:

-3268.72

Step-by-step explanation:

Answer:

I got -3268.72

Answer:35 degrees.

Step-by-step explanation:

The height of the pole is the opposite

Answer:

3600

Step-by-step explanation:

Given that there are 8 people to be seated around a circular table.

As per formula:

Number of ways that they n people can sit around a circular table = \((n-1)!\)

We know that 2 people of out of these 8 are not allowed to sit together.

If we subtract the number of ways of these 2 people sitting together from the total number of ways of sitting of 8 people, we will get the number of ways that these 2 people do not sit together.

Number of ways of 2 people not sitting together = Total number of ways of 8 people sitting - Number of ways these 2 people sitting together.

Using formula:

Total number of ways = \((8-1 )! = 7! = 5040\)

Let these two people always sit together, so these 2 can be thought as one pair.

So, 6 people and 1 pair,

Total number of ways the 2 people sitting together = \((7-1)! \times 2 = 6! \times 2 = 720 \times 2 =1440\)

Total number of ways that the two do not sit together =

\(5040 - 1440\\\Rightarrow 3600\)

Figure O is reflected followed by a translation of 4 units in the left direction.

Given that:

Figure O and Figure P are shown on the graph.

The translation does not change the shape and size of the geometry. But changes the location.

Figure O is translated leftward by 4 units.

The reflection does not change the shape and size of the geometry. But flipped the image. A reflection is a transformation that maps every point P over a line such that the line segment PP' will intersect the line of reflection at a right angle.

The translated figure O is reflected across the x-axis.

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The cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.

To find the cost of one hosta and one geranium, we can set up a system of equations based on the given information.

Let's assume the cost of one hosta is represented by 'h' and the cost of one geranium is represented by 'g'.

From the information given, we can set up the following equations:

Eugene's spending:

18h + 6g = $150

Jessica's spending:

7h + 16g = $113

We can now solve this system of equations to find the values of 'h' and 'g'.

Multiplying the first equation by 2 and the second equation by 3 to eliminate 'g', we get:

36h + 12g = $300

21h + 48g = $339

Now, we can subtract the second equation from the first to eliminate 'h':

(36h + 12g) - (21h + 48g) = $300 - $339

36h - 21h + 12g - 48g = -$39

15h - 36g = -$39

Simplifying further, we have:

15h - 36g = -$39

Now we can solve this equation for 'h' and substitute the value back into any of the original equations to find 'g'.

Let's solve for 'h':

15h = 36g - $39

h = (36g - $39) / 15

Substituting this value of 'h' into Eugene's equation:

18[(36g - $39) / 15] + 6g = $150

(648g - $702) / 15 + 6g = $150

648g - $702 + 90g = $150 * 15

738g - $702 = $2250

738g = $2250 + $702

738g = $2952

g = $2952 / 738

g ≈ $4

Now, substituting the value of 'g' back into Eugene's equation:

18h + 6($4) = $150

18h + $24 = $150

18h = $150 - $24

18h = $126

h = $126 / 18

h ≈ $7

Therefore, the cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.

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Answer:

F and H are both 121 degrees

Step-by-step explanation:

"A kite has 4 interior angles and the sum of these interior angles is 360°. In these angles, it has one pair of opposite angles that are obtuse angles and are equal." - Cue math

Ok, so the two acute angles add up to 118 degrees, and in order to find the remaining angles we need, subtract 118 from 360 to get 242. Because the two obtuse angles are equivalent, divide 242 by 2 to get the measure of each.

About 71 members of the group are expected to be between 51 years old and 59 years old.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

Considering the mean of 55 years and the standard deviation of 4 years, ages between 51 and 59 years are within one standard deviation of the mean, hence the percentage is of:

68%.

Out of 104 people, the number of people with ages in the range is given as follows:

0.68 x 104 = 71 people. (rounded to the nearest integer).

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