22
g(x) =
*+
+7
What is the average rate of change of g over the interval —2, 4):

Answer:−

-2 < x ≤ 1

Step-by-step explanation:

A table that best represent the equation include the following: H. table H.

In order to determine the table that best represent the equation, we would have to substitute each of the values of x (x-values) into the linear function and then evaluate as follows;

When the value of x = 1 in table F, the linear function is given by;

y = x - 12

y = 1 - 12

y = -11 (False).

When the value of x = 0 in table G, the linear function is given by;

y = x - 12

y = 0 - 12

y = -12 (True).

When the value of x = 2 in table G, the linear function is given by;

y = x - 12

y = 2 - 12

y = -10 (False).

When the value of x = 0 in table H, the linear function is given by;

y = x - 12

y = 2 - 12

y = -10 (True).

When the value of x = 4 in table H, the linear function is given by;

y = x - 12

y = 4 - 12

y = -8 (True).

When the value of x = 6 in table H, the linear function is given by;

y = x - 12

y = 6 - 12

y = -6 (True).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

\(A= 35.8\)

Step-by-step explanation:

Given

\(sin(53.2) = cos(A)\)

Required

Find A

In trigonometry

\(sin(\alpha) = cos(\theta)\)

Then

\(\alpha + \theta = 90\)

So, this gives:

\(54.2 + A= 90\)

Make A the subject

\(A= 90-54.2\)

\(A= 35.8\)

Original: y = 3^x

---To find the inverse, switch the x and y, then solve for y.

Inverse: x = 3^y

---Take the log base 3 of both sides to get y by itself

Answer: \(log_{3}(x) = y\)

\(y = log_{3}(x)\)

Hope this helps!

The two triangles exist congruent if they contain two congruent corresponding sides and their contained angles exist congruent.

Let \($&\overline{A B} \cong \overline{D E} \\\) and \($&\overline{A C} \cong \overline{D F}\)

Angle between \($\overline{A B}$\) and \($\overline{A C}$\) exists \($\angle A$\).

Angle between \($\overline{D E}$\) and \($\overline{D F}$\) exists \($\angle D$\).

Therefore, \($\triangle A B C \cong \triangle D E F$\) by SAS, if \($\angle A \cong \angle D$$\).

Given:

\($&\overline{A B} \cong \overline{D E} \\\) and

\($&\overline{A C} \cong \overline{D F}\)

According to the SAS congruence property, two triangles exist congruent if they contain two congruent corresponding sides and their contained angles exist congruent.

Let \($&\overline{A B} \cong \overline{D E} \\\) and \($&\overline{A C} \cong \overline{D F}\)

Angle between \($\overline{A B}$\) and \($\overline{A C}$\) exists \($\angle A$\).

Angle between \($\overline{D E}$\) and \($\overline{D F}$\) exists \($\angle D$\).

Therefore, \($\triangle A B C \cong \triangle D E F$\) by SAS, if \($\angle A \cong \angle D$$\).

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Answer:

3799.4 in^3

Step-by-step explanation:

11^2 * 3.14 * 10

121 * 3.14 * 10

379.94 * 10

3799.4

The coordinates in the solution to the systems of inequalities graphically is (6, 2)

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

x + y > 3

x - 3y < 2

Next, we plot the graph of the system of the inequalities

See attachment for the graph

From the graph, we have solution to the system to be the shaded region

The coordinates in the solution to the systems of inequalities graphically is (6, 2)

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Answer:

y = 25x + 200

Step-by-step explanation:

y =  the total cost of the party

x = the number of guests

75/3 = 25

25 is the cost per guest.

Helping in the name of Jesus.

Answer:

D. (5,1)

Step-by-step explanation:

Because it is an isosceles triangle, the next point we choose must result in two sides with the same length. This means that either the two new sides are equal, or that one of the new sides is equal to the original side. If we wanted both of the new sides to be equal, they would have to be equal distance from the new point and one of the points of the original line. However, none of the options result in both new lines being the same length.

(2,1) would result in one new length being 1 unit long (2-1 x-coordinates) and the other being square root 5 (distance from point 2,1 to point 3,3 minus both coordinates and use Pythagoras). Points 3,2 and 4,1 yield the same result: Length 1=1 unit length 2=square root 5. Length 1 = 3 unit, length 2 = square root 5.

Therefore we are looking for a point which instead yields one length which is the same length as the original. The original length was 2^2 + 2^2 = c^2 = square root 8.

If we try the point 5,1 then we get two lengths of 4 and square root 8, it forms a isosceles triangle whose base line is parallel to the x-axis.

Sorry is my explanation was confusing, it's much easier to try and draw it on a grid and visualize it. Basically the overall idea is to test the side values you get by finding the distance between the points and going with the option which results in two sides with the same length.

Hope this helped!

Answer:

D. (5,1)

Step-by-step explanation: Because it is an isosceles triangle, the next point we choose must result in two sides with the same length. This means that either the two new sides are equal, or that one of the new sides is equal to the original side. If we wanted both of the new sides to be equal, they would have to be equal distance from the new point and one of the points of the original line. However, none of the options result in both new lines being the same length.

(2,1) would result in one new length being 1 unit long (2-1 x-coordinates) and the other being square root 5 (distance from point 2,1 to point 3,3 minus both coordinates and use Pythagoras). Points 3,2 and 4,1 yield the same result: Length 1=1 unit length 2=square root 5. Length 1 = 3 unit, length 2 = square root 5.

Therefore we are looking for a point which instead yields one length which is the same length as the original. The original length was 2^2 + 2^2 = c^2 = square root 8.

If we try the point 5,1 then we get two lengths of 4 and square root 8, it forms a isosceles triangle whose base line is parallel to the x-axis.

Sorry is my explanation was confusing, it's much easier to try and draw it on a grid and visualize it. Basically the overall idea is to test the side values you get by finding the distance between the points and going with the option which results in two sides with the same length.

Answer:

y= 4

Step-by-step explanation:

y-b=m(x-a)

y-4=0(x-2)

y-4=0

y=4

9514 1404 393

Answer:

  3:10 p.m.

Step-by-step explanation:

The amount that will have leaked is ...

  1200 mL -450 mL = 750 mL

The time required for this amount to leak out is ...

  (750 mL)/(3 mL/min) = 250 min = 4 h, 10 min

There will be 450 mL left in the carton at 3:10 p.m.

Answer:

4π

Step-by-step explanation:

circumference = πd

circumference = π × 4

circumference = 4π

Answer: 150% can be written as a fraction as 3/2 or a mixed number as 1 1/2.

Step-by-step explanation: The fraction form is obtained by dividing 150 by 100 and simplifying the fraction to its simplest form.

Answer:

No, there is not sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.

This means that the null hypothesis is:

\(H_{0}: \mu = 434\)

It is believed that the machine is underfilling the bags.

This means that the alternate hypothesis is:

\(H_{a}: \mu < 434\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

434 is tested at the null hypothesis:

This means that \(\mu = 434\)

A 9 bag sample had a mean of 431 grams with a variance of 144.

This means that \(X = 431, n = 9, \sigma = \sqrt{144} = 12\)

Value of the test-statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{431 - 434}{\frac{12}{\sqrt{9}}}\)

\(z = -0.75\)

P-value of the test:

The pvalue of the test is the pvalue of z = -0.75, which is 0.2266

0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.

Answer:

This demonstrates the associative property of addition which states that a + (b + c) = (a + b) + c. Basically, it states that it doesn't matter which order you add numbers in, you will always get the same result.

Add 8x to both sides

Subtract 3 from both sides

Divide both sides by 6

Interval notation solution: x < 2

SOLUTION:

Step 1:

In this question, we are given the following:

This is a good application of Intersecting secant theorem for example:

I would give you a few minutes to go through the solution. If you don’t have anymore questions, I would be ending the session.Please, note that the solution to this problem can also always be found at brainly.com. I’d really appreciate you letting me know how I did by rating our session after you exit. Thanks and have a nice day.Step 2:

Now, from the question, we can see that:

Then, we have that:

CONCLUSION:

The final answer is:

Answer: 2 cakes and 2 slices of an extra ( assuming its cut into 10 slices)

Step-by-step explanation:

11 divided by 5 is equal to 2.2

in this case, 11 cakes divided by 5 friends is equal to 2 cakes and 2 slices.

normally you would just give them 2 cakes each (if you had 10 cakes) but you have 1 left over. So unless Sako wanted a cake as well, that's the answer(if she did, it would only be 2 cakes, no extra slices).

Answer: two and one fifth cakes

Step-by-step explanation:

Solution :

solve by considering data :

The perimeter of a rectangular pool is 56 meters. If the length of the pool is 16 meters, then find its width.

Here the perimeter and the length of the rectangular pool are given. We have to find the width of the pool.

The perimeter P of a rectangle is given by the formula, P=2l+2w, where l is the length and w is the width of the rectangle.

Given that, the perimeter is 56 meters and the length is 16 meters. So, substitute these values into the formula.

56=2(16)+2w

Simplify.

56=32+2w

Subtract 32 from both sides.

24=2w

Divide each side by 2 .

12=w

Therefore, the width of the rectangular pool is 12 meters.

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The given expression:

Apply the fraction rule:

Cancel out (z - 3)(z + 2):

Therefore,

Therefore, the quotient in simplest form is

The restrictions are that none of the cancelled factors can be 0, so z ≠ 3 and z ≠- 4.

Answer:

36 cm

Step-by-step explanation:

Because the plant is growing the same amount each week you would take 12(3) and get 36 cm at the end of the 12 weeks.

Answer:

Step-by-step explanation:

im pretty sure it basically means its perfectly bisected the middle of the bottom line if that make sense

so basically both sides of the line are equal so you can set them equal to each other

-2x = -3x - 2

x = -2

hope this helps <3

There are 2 sides per coin, and 3 flips, so 2^3 = 8 total items in the sample space

Tracing each branch from left to right will help form the 8 different outcomes. For instance, if you go along the upper most path of the upper tree, then you'll get HHH meaning you got 3 heads in a row. The next branch down would be HHT, and so on.

Ab=3.14xRadious to the power of 2

then to the area of the rectange you do B x H = YOUR ANSWER

Answer:

D

Step-by-step explanation:

There is no repeated x

The required set of points is y a function of x is C.{(2, 1), (0, 1), (1, 0), (2, 1)}. Option C is correct.

Sets are an orderly collection of items in mathematics that can be expressed in set-builder or roster form.

A function is a set of ordered pairs where each value of x has only one corresponding value of y. In other words, for a function, there can be only one value of y for each value of x.

So, among the sets of points given, set D, A, and C is not a function of x because the value x=1 has two corresponding values of y.

Therefore, the set of points in which y is a function of x is set C.{(2, 1), (0, 1), (1, 0), (2, 1)} because, for each value of x, there is only one corresponding value of y.

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The value of the function F(3) will be 1/125. It is obtained by putting the value 3 in the place of x.

A connection between independent variables and the dependent variable is defined by the function. Functions help to represent graphs and equations.

A function is represented by the two variables one is dependent and another one is an independent function. The relation between them is shown as y if dependent and x is the independent variable.

F(x)=(1/5)ˣ

F(3)=(1/5)³

F(3)=1/125

Hence, the value of the function F(3) will be 1/125.

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Answer:

Put the arrow facing the left with a non-filled up dot at the point between 31 and 32.

Step-by-step explanation:

x < 31.5 means that x is lesser than 31.5 and so x cannot be 31.5 itself.

< means lesser.

> means more than.

A filled up dot means that the number itself is included in the values of x.

A non-filled up dot means that the number itself is not included in the values of x.

An arrow facing left means lesser than that number.

An arrow facing right means more than that number.

Since 31.5 is not included in the values of x, we will be using the non-filled up dot.

Bentley had 17 pencils. Kerry

had 32 pencils. How many

more pencils does Kerry have

than Bentley?

Number of pencils Bentley had = 17 pencils.

Number of pencils Karry had = 32 pencils.

Number of pencils Karry have more than Bentley = 32 - 17 = 15

Karry have 15 pencils more than Bentley.

The graph of the function f(x)=(x-3)(x-1)(x+1) is given by the image presented at the end of the answer.

The function for this problem is defined as follows:

f(x)=(x-3)(x-1)(x+1).

The product is written as a product of it's linear factors, hence the x-intercepts are given as follows:

The y-intercept of the function is given as follows:

f(0) = -3(-1)(1) = 3.

The end behavior is given as follows:

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