f(x) = x +4g(x) = 3x2 – 7Find (f .g)(x).A. (f-9)(x) = 3.73 – 28O B. (f.g)(x) = 3x2 + 12x2 – 7x - 28OC. (f.g)(x) = 3.r3 +28O D. (f.g)(x) = 3.7° + 12.2 - 72 +28

What plus Ten equals thirty two is equivalent to

x + 10 = 32

10 is adding on the left, then it will subtract on the right

x = 32 - 10

x = 22

we have the following:

replacing:

x 0 1 2 3 4

f(x) -6 -5 -3 1 9

Solution

Name an acute angle for which each of the angles are associated in terms of trig ratios:

Trigonometry ratios include sine, cosine and tangent

The associated angles interms of relation to acute angle is which of them is equivalent

Answer:

Answer d

Step-by-step explanation:

Make sure to get another answer + can you make sure if there is answer choices, please and thx

Rushdoors,

LSPLASH DOORS

:)

We will have the following:

The equation in this case is:

So, if he sells 23 copies, he will make:

So, he would make $4960.

Given the functions are,

[tex]f(x)=x^2-4\\g(x)=\sqrt[3]{x-1}[/tex]

Then the subtraction of functions is given by,

[tex](f-g)(x)=f(x)-g(x)=x^2-4-\sqrt[3]{x-1}[/tex]

Again,

[tex](f\circ g)(x)=f(g(x))=f(\sqrt[3]{x-1})=(x-1)^{2/3}-4[/tex]

And,

[tex]\left(\frac{f}g{}\right)(x)=\frac{f(x)}{g(x)}=\frac{x^2-4}{\sqrt[3]{x-1}}[/tex], it exists when x not equals to 1.

So domain of the function is all real number except 1.

Since, [tex]f(-x)=(-x)^2-4=x^2-4=f(x)[/tex], then the function is an even function.

Since [tex]g(-x)=\sqrt[3]{-x-1}[/tex], so it is neither odd function nor even function.

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The first step is to locate the points to find what kind of quadrilateral this is.

The next step is to find the lengths of the diagonals, if both have the same length then the quadrilateral is a rectangle, if the don't the quadrilateral is a parallelogram.

When looking at the picture is easy to determine that the quadrilateral is a parallelogram, but the statement that could prove what kind of quadrilateral this is is C. Find the lengths of the diagonals to show that the quadrilateral is a parallelogram.

Using the properties of parallel lines and transversal we can calculate the value of ∠5 as 64° .

The two lines are parallel to one another and the intersecting line is the transversal to the parallel lines.

the two given angles whose values are given are

∠4 = 106-y

∠6 = 3y-10

Now we can clearly see that these two angles ∠4 and ∠6 are co-interior angles.

We know that co-interior angles are supplementary.

Hence  ∠4 + ∠6 = 180°

now we will put the values in the equation:

or , 106-y + 3y-10 = 180 °

or , 96 + 2y = 180 °

or,  2y = 84 °

or, y = 42°

Therefore ∠4 =  106 - y = 106° - 42° = 64°

Now from the properties of parallel lines we can see that ∠4 and ∠5 are alternate angles.

Hence  ∠4 = ∠5 = 64°

therefore the value of ∠5 is 64° .

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-95/34

Explanation:

Simplify the expresssion:

None of the options has this value.

There is likely an error in question.

Answer:

Explanation:

Given the expression

It can be rewritten as

Use the formula

to get

which is the factored form of the given expression.

Answer:

It's Option D

Step-by-step explanation:

edge

We find its area as follows:

[This is the equation for the area of a circle divided by 2] Now, we replace the radius:

So, the area of the semi-circle is approximately 127.23 squared feet.

When you add/subtract values to the coordinates of a figure, its size doesn't change, you only move it to another location.

When you multiply the coordinates of a figure, you enlarge it, i.e. create a bigger figure proportional to the original one.

When you divide the coordinates of a figure, you reduce its size.

Since the figure was dilated and not moved, option F is incorrect.

To determine how much it was dilated select any point from the pre image and image and compare them.

For example

G (-2,1)

G'(-5,2.5)

To determine the coefficient used for the dilation divide the x-coordinate of the image point by the x-coordinate of the preimage point:

Now do the same to determine the coefficient used in the Y-coordinates:

2.5 expressed in fractions is 5/2

So the dilation made was (X,Y)→(2/5X,2/5Y)

The correct answer is E.

Step 1

Find the equation of the axis of symmetry

The equation of symmetry is given as

Step 2

Find the x-intercepts

Step 3

Find the y-intercepts

Step 4

Find the coordinates of the vertex

Answer:

The first brand is 34 gallons

The second brand is 136 gallons

Explanation:

Let x represent the first brand, and

y represent the second brand

The total number of gallons of mixture to be obtained is 170, so

x + y = 170 .................................................................................(1)

And

45% of x + 70% of y = 65% of (x + y)

0.45x + 0.7y = 0.65(x + y)

0.45x - 0.65x = 0.65y - 0.7y

0.2x = 0.05y

Divide both sides by 0.05

4x = y ...........................................................................................(2)

Solving (1) and (2) simultaneously

Using (2) in (1)

x + 4x = 170

5x = 170

Divide both sides by 5

x = 170/5 = 34

Put x = 34 in (2)

4(34) = y

y = 136

We just need to use the simple interest formula:

Where:

I = Interest

PV = Principal or initial investment = 9000

r = interest rate = 0.02

t = time = 2

$360

To answer this question, we need to substitute the value of 9 into the quadratic function as follows:

Therefore, the answer is f(9) = -59.

Given:

A sample of 100 customers.

(8, 7) or (8.5, 7.5)

See explanation below

From the graph, there are two points away from the main clusters.

This is because their distance compared to other points is far apart. The main cluster is where most of the points are located

The two points are (x, y): (8, 7) and (8.5, 7.5)

In the absence of options, you can pick any of the points as the point that is apart from the cluster.

Kidney $1.18 per 500g

Lima. $ 2.13. Per 2 lbs= 1000g

Then

Kidney = 1.18 x 1 lb

Lima = 2.13/2= 1.065 x 1 lb

So ANSWER IS :Better deal Is LIMA BEANS

Part 7b

UNIT PRICE for better deal is

LIMA BEANS , At $1.065 per lb

To find the probability that the next car through the intersection will be black divide the number of black car by the total number of cars.

The total number of cars is the sum of the number of cars of each color, which is 58.

Expressed as a percent it is 15.5%.

It means that the correct answer is the last choice.

ANSWER

EXPLANATION

Given;

The standard equation of circle of a circle centered at (h,k) with radius r is;

Re-write the given equation in the standard form, we have;

Hence, h=-3, k=-5, radius is 4

We have to find the inverse of the function f(x) = 2x + 3.

We can find the inverse function as:

From the options we can see that the slope has to be positive, so we can discard optiosn B and C.

Then, we can check option A:

- It has a y-intercept of -1.5, which is equal to -3/2.

- The x-intercept is (3,0), what indicates that it increases 0.5 units of y per unit increase in x. This corresponds to a slope of 0.5 or 1/2.

Then, as both characteristics match with the equation of the inverse, the right representation is option A.

Answer:

The inverse is f^-1(x) = 1/2*x - 3/2 [Option A]

Explanation:

d: number of days.

m: number of miles.

The total cost of the car 'y' is:

Lydia plans to drive 225 miles, this is m = 225. And she has $150 to spend, so we have to solve y ≤ 150.

The inequality to solve is:

Solving the inequality:

Lydia can afford 3 days at most.

Answers:

• Inequality: ,42.5d + 22.5 ≤ 150

• d ≤ 3

Let us start this problem by analyzing the area we want to calculate

.

To calculate the surface area we will divide the are in two parts:

The area of the base:

The area of the base can be calculated as the difference between the areas of the to disks , as follows:

Where we use twice the formula for the area of a circle pi*radius^2, for the outer disk the radius is 12 and for the inner disk the radius is 4.

The lateral area of the two cones, the outer and the inner

Now we will calculate the lateral area of a cone (that is we will not include the base) this area is illustrated by the following draw:

The lateral area of a cone can be calculated using the next formula

Where h is the height of the cone, and r is the radius of the base, for the bigger cone we know from the figure that the height is 6 ft and the radius is 12 ft, for the smaller cone we also know from the figuere that the height is 3 ft and the radius is 4 ft. Therefore we can calculate:

and

Finally, putting all the areas together we find that:

Let N be the number of subs, then we can write the following relationship:

That is, this equality gives us the number of subs we can buy. If we move 5.10 to the right hand side, we have

this means that we can buy 4 subs approximately.

the 7% means

7/100 = 0.07

200 % means

200/100 = 2

and 0.3 % means

0.3/100 = 0.003

Given the expression

To simplify the expression above, we convert all negative indices to positive indices

Applying the rule of indices

Applying the rule to the given expression gives

Substitute the above deduction into the given expression

Hence, the simplified form is

Answer:

• m=-7

• b=7

Explanation:

Given the line:

To determine the slope and y-intercept, first, express the line in the slope-intercept form (y=mx+b).

You can then compare:

• Slope, m = -7

• y-intercept, b =7

The slope of the line is -7 and the y-intercept is 7.

From the image.

we have

1 y

1 x^2

6 x

8 (1squares)

We can write the standard equation as

But we need to express it in vertex form y = a(x-h)^2 + k where (h,k) is the vertex

to complete the squares we need to express the equation as

y = (x^2+6x+8+__)-___

to complete the square we need to add +1 inside the parenthesis and -1 outside

y = (x^2+6x+8+1)-1

We can express the equation

y = (x+3)^2 -1

2 3/4-(-1 1/2)=

2 3/4 + 1 1/2=

(2+1) (3/4 + 1/2)=

3 + 5/4=

3 + 1 1/4=

4 + 1/4=

4 1/4 or 17/4 or 4.25