- Polynomial Functions -For each function, state the vertex; whether the vertex is a maximum or minimum point; the equation of the axis of symmetry and whether the function's graph is steeper than, flatter than, or the same shape as the graph of f(x)=x²

Solution:

Given the triangle ABC as shown below:

To draw the image,

step 1: Determine the coordinates of the vertices of the triangle.

In the above graph,

step 2: Evaluate the new coordinates A'B'C' of the triangle after a dilation centered at the origin with a scale factor of 2.

After a dilation centered at the origin with a scale factor of 2, the iniatial coordinates of the vertices of the triangle are multiplid by 2.

Thus,

step 3: Draw the triangle A'B'C'.

The image of the triangle A'B'C' is as shown below:

• sin 2x = -12/13

• cos 2x = -5/13

• tan 2x = 12/5

Given that

Then

From the figure given, if theta = A

opposite = 28 and hypotenuse =53

substitute the values into the formula

Domain is the set of input values,

In the graph x axis show the domain

Where the x values is lies at -2,-1,0,1,2

Sothe domain will be :

Range is the set of output values,

In the graph the value of function at y axis is : 0,2,4,6,8-2,-4.....

So, the range will be :

The correct answer is,

The temperature using method 2 changed exponentially.

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

Step 01:

Data:

principal = $6000

rate (interest) = 5.5%

time = 6 years

Step 02:

compound interest:

n = annually

n = 1

r = 5.5 % = 5.5 / 100 = 0.055

A = amount

The answer is:

$8273.06

Question:

Solution:

Synthetic division is a quick method of dividing polynomials; it can be used when the divisor is of the form x-c. In synthetic division, we write only the essential parts of the long division. Notice that the long division of the given problem is written as:

thus, the synthetic division of the given problem would be:

Writing 6 instead of -6 allows us to add instead of subtracting. We can conclude that the correct answer is:

A.

Answer:

16

Step-by-step explanation:

6!3!

-------

2!5!

(1 × 2 × 3 × 4 × 5 × 6)(1 × 2 × 3)

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

(1 × 2)(1 × 2 × 3 × 4 × 5)

(720)(6)

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

(2)(120)

4320

------------ = 18

240

I hope this helps!

S={1/15}

1) Solving that expression

4-10x = 3+5x Subtract 4 from both sides

4-4-10x=3-4+5x

-10x =-1+5x Subtract 5x from both sides, to isolate x on the left side

-10x -5x = -1 +5x -5x

-15x=-1 Divide both sides by -15 to get the value of x, not -15x

x=1/15

S={1/15}

One cucumber costs $0.89, so with Erin buys "c" cucumbers, the price he will pay for the cucumbers is the unitary price (0.89) times the number of cucumbers ("c"), so the price is 0.89c.

One apple costs $0.99, so with Erin buys "a" apples, the price he will pay for the apples is the unitary price (0.99) times the number of apples ("a"), so the price is 0.99a.

Then, to find the final price Erin will pay, we just need to sum both prices: all the cucumbers and all the apples:

Final price = 0.89c + 0.99a

So the expression represents the final price (or cost) Erin will pay for all products.

In part B we must perform the following operation:

The key here is to group the terms according to the power of a they have:

Then, we can use the distributive property of the multiplication but in reverse:

If we do this in each of the terms between parenthesis we get:

Then the answer for part B is:

In part C we must simplify:

Here is important to remember that a negative sign before a parenthesis means that you have to change the sign of all the terms inside it. Then we have:

Now we can do the same thing we did in part B, we group the terms according to the powers of y:

Then we apply the distributive property in reverse:

Then the answer for part C is:

Yolanda has 120 eggs, but she used 98 eggs

r represents the equation for the number of eggs that she left:

To find this, subtract the total of eggs by the eggs used

Then, r = 120 - 98

Answer:

N = 1/4

Step-by-step explanation:

Okay, so 1/4 is equal to N.

3/4 x1/4=3/16

Given equation:

Discriminant:

Number of real solutions:

Since the discriminant is > 0 (that is ,it is a positive value)

Answer:

(0.8x, 0.8y)

Step-by-step explanation:

in a dilation with the origin as the center all point coordinates are multiplied by the scaling factor.

Initial value= $600

new value = $ 480

25% decrease is the answer

The measurement shows that the base of the triangle is approximately 7 cm

while the height is approximately 9cm

The area of the triangle is given by

Option D is the closest to the answer

Find the ratio of corresponding sides:

SRT to CBD =

70/50 = 1.4

SR / 60 = 1.4

SR = 60 x 1.4

SR = 84

84= 11x-4

Solve for x:

84+4 = 11x

88= 11x

88/11 = x

8=x

ANSWER

c = 14.14

EXPLANATION

To find the length of side AB, which is the hypotenuse of the right triangle ABC, we have to apply the Pythagorean Theorem,

Replace the known values and solve for c,

Hence, the value of c is 14.14, rounded to the nearest hundredth.

Given data:

The given graph of the line.

The slope of the line passing through (4, 0) and (12, 2) is,

Thus, the solpe of the line is 1/4.

Step-by-step explanation:

Given data:

The given graph of the line.

The slope of the line passing through (4, 0) and (12, 2) is,

\begin{gathered}\begin{gathered} m=\frac{2-0}{12-4} \\ =\frac{2}{8} \\ =\frac{1}{4} \end{gathered}\end{gathered}

m=

12−4

2−0

=

8

2

=

4

1

Thus, the solpe of the line is 1/4.

To find how much they will be able to spend, we have to use the compoud interest formula, so:

Solution

- The formula for finding the sample mean from the confidence interval is given below

- Thus, we can find the sample means as follows

Final Answer

The sample mean is 6.1 (OPTION B)

Given that:

To prove that:

We know that congruent parts of congruent triangles are congruent

Given that E is the midpoint of AC, therefore,

By the SAS congruency theorem as illustrated above, it is sufficient to prove that the triangles are congruent

It is necessary to adjust the given points of the graph to a line. The general form of the equation of a line is given by:

y = mx + b

where m is the slope of the line and b is the y-intercept of the line.

To calculate the slope m, use the following formula:

In this problem, we have the sequence

inverse sequence

36,34,32,30,28,26

The sum is equal to

S=36+34+32+30+28+26

S=186

In this problem, we have the sequence

inverse sequence

36,34,32,30,28,26

The sum is equal to

S=36+34+32+30+28+26

S=186

ANSWER

x = 124

EXPLANATION

First we have to clear the term that contains x in the equation. In this case, this term is the second term. So we have tu subtract 6 from both sides of the equation:

Then, we have to eliminate the root. Note that in the expression inside the root there are two terms. To do this, we have to apply the "opposite" operation on both sides of the equation, which in this case is exponent 5:

Now we do something similar to the first step. We want to leave on one side of the equation only the term that contains x and the rest on the other side. To do this we can either add 2x on both sides, or subtract 249 from both sides. We'll apply the first option because then we'll have a positive coefficient for x:

However, we now have to subtract 1 from both sides of the equation:

Finally, to find x, we have to divide both sides by 2:

Hence, the solution to the equation is x = 124.

Given:

Ingrid is preparing a budget. She is first calculating her income.

She makes $2,000 a month as a tutor.

And she is going to school to become a lawyer.

Eventually, she will make close to $10,000 a month

So, the best thing is to calculate her earnings when she becomes a lawyer.

So, the answer will be option A

She should use the difference between both incomes--$8,000.

Answer:

56 i think because if 25% = 1/4 and 14 is 25% you would need to multiply 14 by 4 to get 100% or 4/4

SOLUTION

The ratio can be established as shown below

The correct answer is OPTION D