Mathematics High School

## Answers

**Answer 1**

**Given:**

x2 + 15x + 54.

**Required:**

Find the relationship between zeros and x-intercepts of the polynomia

**Explanation:**

Although the zeroes of

[tex]\begin{gathered} x^2+15x-9 \\ \\ are\text{ -6,-9} \\ \\ And\text{ the x-intercepts of it are -6 and -9 } \\ \\ \\ they\text{ mean different things.} \end{gathered}[/tex]

**Required answer:**

They are different

## Related Questions

Jacquelyn wants to see a piece of fabric into a scarf in the shape of an isosceles triangle as shown in the diagram. What are the values of X and Y.

### Answers

the image given is

now in a given isoceles triangle, two sides are equal

from the diagram above, 47 and x are equal

[tex]\begin{gathered} 47=x \\ x=47 \end{gathered}[/tex]

now we have the values of two sides i. e 47, 47 (which is was x). we can use these values to find the value of y

rememeber that sum of angles in a given triangle is equal to 180 degrees

[tex]\begin{gathered} x+y+47=180 \\ 47+47+y=180_{}_{} \\ 94+y=180 \\ y=180-94 \\ y=86 \end{gathered}[/tex]

from the calculations above, x = 47, y = 86

2. Which statement best describes the relationship based on the graph?

### Answers

Sandsher, this is the solution to the exercise:

As you can see in the image, when the outside temperature increases, there is also an increase in the number of cars sold. However, we are not sure if the outside temperature is the only cause to explain such trend, and the increase is not constant and steady.

In consequence, the correct answer to this exercise is:

**C. An increase in temperature is related to an increase in cars sold.**

Melissa has reached her credit card limit of $ 6,500. Since Melissa has poor credit history, the annual interest rate on her credit card is 19%. Using an online calculator, Melissa determined that if she pays $ 220 per month and does not make any additional purchases with her credit card, it will take her 41 months to pay off the credit card. Which of the follow represents the total interest Melissa will pay when her credit card is paid off?

### Answers

**Problem**

Melissa has reached her credit card limit of $ 6,500. Since Melissa has poor credit history, the annual interest rate on her credit card is 19%. Using an online calculator, Melissa determined that if she pays $ 220 per month and does not make any additional purchases with her credit card, it will take her 41 months to pay off the credit card. Which of the follow represents the total interest Melissa will pay when her credit card is paid off?

**Solution**

For this case we can start the amount of money paid by Mellissa with this operation:

**220$/month *41 months = $9020**

And since the credit card limit is $6500 we can calculate the interest paid with this difference:

**$9020- $ 6500=$2520**

And the best answer for this case would be $2520

Daria bought a bracelet at original cost $16 to sell in her handicraft store. She marked the price up 45%. What was the listprice of the bracelet?

### Answers

**Answer:**

**The list price is $23.2**

**Explanation:**

The orignal cost of the bracelet is $16. First we need to find how much is 45% of the original cost $16, and then add this to the original cost to knwo the list price of the bracelet.

Step 1: Find how much is 45% of $16.

To find this percentage we divide $16 by 100 and then multiply by 45:

[tex]\frac{16}{100}(45)=0.16(45)=7.2[/tex]

This means that the final price will be $7.2 more than the original.

Step 2: Find the list price.

We add the original price $16 and the added price of $7.2:

[tex]16+7.2=23.2[/tex]

The list price is $23.2

How long is the rail? Round your answer tothe nearest tenth.safety rail10 yd90°10 yd

### Answers

We can see that the safety rail is a quarter of circle with radius equals 10yd. So it's lenght is:

[tex]l=\frac{\pi\cdot r}{2}=5\cdot\pi=15.7yd[/tex]

GP 3: Haley is making admission tickets to the middle school dance. So far she has made 112 tickets, and her planis to make 320 tickets.What percent of the admission tickets has Haley produced so far?VerbalPractionDecimal

### Answers

The 100% of tickets are 320 tickets (this is Haley's goal), she made 112 tickets. To determine what percentage of 320 does 112 represent you can use cross multiplication:

320 ____ 100%

112 _____ x%

Both relations are at the same ratio so that

[tex]\begin{gathered} \frac{100}{320}=\frac{x}{112} \\ x=112(\frac{100}{320}) \\ x=35 \end{gathered}[/tex]

112 tickets represent 35% of 320, which means that she made 35% of the admission tickets so far.

Inverse Functions. NEED HELP PLSS! Give answer option. A,B,C or D.

### Answers

**The Solution:**

Given:

[tex]f(x)=x-2[/tex]

Required:

Find the inverse of the given function.

Step 1:

**Let:**

[tex]\begin{gathered} y=f(x)=x-2 \\ y=x-2 \end{gathered}[/tex]

Step 2:

Isolate x.

[tex]\begin{gathered} y+2=x \\ \\ x=y+2 \end{gathered}[/tex]

Step 3:

Replace y with x.

[tex]f^{-1}(x)=x+2[/tex]

**Answer:**

**[option D]**

A solution to a linear system" means which of the following? The y-intercepts are the same A) The rates of change for both functions are the same B) The x value equals the y value The x and y values make both equations true

### Answers

the x and y values makes both equations true

**Explanation**

a linear system is the set of 2 linear equations.

**Step 1**

the solution to a linear system is the coordiante where the line intersect, this coordiante satisfies both equations, then

the x and y values makes both equations true

Drag each tile to the correct box.Arrange the geometric series from least to greatest based on the value of their sums.Σ 2(3)*-1V7Σ 2-1k-1A5Σ 3(2)*–1k=1V5Σ 3-1k=1

### Answers

SOLUTIONS

Arrange the geometric series from least to greatest based on the value of their sums.

3. The table shows the linear relationship between the balance of a student's savings account and the number of weeks she has been saving. Savings Account Week 0 1 2 4 7 12 Balance (dollars) 24 32 40 56 80 120 Based on the table, what was the rate of change of the balance of the student's savings account in dollars and cents per week?

### Answers

The number of weeks are 0 1 2 4 7 12

The balances are 24 32 40 56 80 120

The rate of change of the balance of the student's savings account in dollars and cents per week is also referred to as the slope of the graph that can be potted with these values. The formula for slope is expressed as

Slope = (y2 - y1)/(x2 - x1)

y1 and y2 would be consecutive values of the balance

x1 and x2 would be consecutive values of the number of weeks

When x1 = 0, y1 = 24

When x2 = 1, y1 = 32

Slope = (32 - 24)/(1 - 0)

Slope = 8

**The rate of change of the balance of the student's savings account in dollars and cents per week is 8 dollars per week. Converting to cents, it would be 800 cents per week**

w6ZThe measure of arc XY is 85 degrees. The measure of arc WZ is 25 degrees. What is the measure of angle 32760 degrees12.5 degrees

### Answers

**Answer:**

** 30degrees**

**Explanation:**

**Using the theorem;**

The angle at the vertex is half the difference of the angles at its intercepted arc. **Mathematically,**

<3 = 1/2(arc XY - arc WZ)

Given

arc XY = 85degrees

arc WZ = 25 degrees

**Substitute the given values into the formula;**

<3 = 1/2 (85-25)

<3 = 1/2(60)

<3 = 60/2

<3 = 30degrees

**Hence the measure of <3 is 30degrees**

Seriously cannot figure this out please help now

### Answers

**Answer:**

x = 4 ; a = 15 ; b= -2

**Step-by-step explanation:**

a cruise ship average 21 nautical miles per hour over a period of 15 hours. How far does the ship travel during that time?

### Answers

Speed = 21 nautical miles per hour

graph the equation x + 4y equals negative 6 but plotting points

### Answers

In order to graph the equation, we need to find two points that are solution of the equation, then we plot the points and the line that passes through both points.

To find the points, we can choose values for x and then calculate the correspoding values of y.

For x = -2 and x = 2, we have:

[tex]\begin{gathered} x=-2\colon \\ -2+4y=-6 \\ 4y=-6+2 \\ 4y=-4 \\ y=-1 \\ \\ x=2\colon \\ 2+4y=-6 \\ 4y=-8 \\ y=-2 \end{gathered}[/tex]

So we have the points (-2, -1) and (2, -2). Graphing the points and the line, we have:

3A. Explain in your own words how to find the domain of a function if you know its equation.B. Find the domain of f (x) =√9-7x6x?+13x-15Be sure to show relevant work.

### Answers

Solution

Step 1

A)The domain refers to all real values of x for which the function is defined. The values of x for which the function is undefined are not a part of the domain. If you are given the equation then you can find the domain of that function by solving/ factorizing the denominator of the equation to find the zero(s) of the equation in the denominator. These values gotten are the values of x that will make the function undefined and hence are not part of the domain. Every other real value of x apart from these zero(s) obtained is part of the domain.

B)

Step 1

Factorize the denominator of the equation to find the zeroes of the equation

[tex]6x^2+13x-15=0[/tex]

Step 2

Find the required factors to replace 13x and is equal to -90x²

[tex]\text{These factors are 18x and -5x}[/tex]

Step3

Replace 13x with these factors

[tex]6x^2+18x-5x-15=0[/tex]

Step 4

Factorize the equation and find the values of x

[tex]\begin{gathered} (6x^2+18x)(-5x-15)=0 \\ 6x(x+3)\text{ -5(x+3)=0} \\ (6x-5)(x+3)=0 \\ 6x-5\text{ = 0} \\ 6x=5 \\ x=\frac{5}{6}\text{ OR} \\ x+3=0 \\ x=-3 \end{gathered}[/tex]

**Hence, the domain of the function is**** all real values of x except -3 and 5/6**

robert planted 12 daffodils bulbs and 18 tulip bulbs in his gardenl ast winter. if all the bulbs sprout and bloom this spring, what will be the same ratio of tulips of daffodils in roberts garden? express as a simplified answer?2/ 3 18/123/212/8

### Answers

If Robert Planted 12 daffodils and 18 Tulips, it implies that for every 18 Tulips there will be 12 daffodils, meaning that the ratio is 18 to 12.

In simplified notation, the above ratio is 3/2.

**Answer:** Third option.

[tex]147x + (7 \times 9)[/tex]what is the answer and how to u get it

### Answers

[tex]\frac{3^4}{3^2}=3^{4-2}=3^2\text{ = 9}[/tex]

**The answer is 9, letter B.**

A bank received 116,714 key chains to give to

customers. Each of the 14 tellers received the same

number of key chains. At most, how many did each

teller receive? How many chains were left over?

### Answers

**Answer:**

Each teller would get **8336 keychains, and there would be 10 keychains leftover.**

**Step-by-step explanation:**

[tex]116,714[/tex] ÷ [tex]14 = 8336[/tex] R [tex]10[/tex]

find the numbers of divisors of the composite number 231

### Answers

The given number is 231.

Remember that a composite number means it can be expressed as factors.

In this case, if we multiply 3 x 7 x 11 we get 231.

Therefore, the number 231 has three divisors which are 3, 7, and 11.

Which of the following expressions will have a product greater than 4?

four times ninety-nine hundredths

four times eight-eighths

three-fourths times four

one hundred and one-one hundredths times four

### Answers

The **Expression** that have a **product** greater than 4 is one hundred and one hundredths times four , the correct option is (d).

In the question ,

**four expressions** are given as

(a) four times ninety-nine hundredths

= 4 × 99/100

= 4 × 0.99

= 3.96

(b) four times eight-eighths

= 4 × 8/8

= 4 × 1

= 4

(c) three-fourths times four

= 3/4 × 4

= 3

(d) one hundred and one hundredths times four

= 1.01 × 4

= 4.04

Therefore , The **Expression **that have a product **greater than 4** is **one hundred** and one hundredths times four .

The given question is incomplete , the complete question is

Which of the following expressions will have a product greater than 4?

(a) four times ninety-nine hundredths

(b) four times eight-eighths

(c) three-fourths times four

(d) one hundred and one hundredths times four

Learn more about **Multiplication** here

https://brainly.com/question/19130641

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Which of the following tables shows the correct steps to transform x^2 + 6x + 8 = 0 into the form (x − p)^2 = q?[p and q are integers]

### Answers

[tex]\begin{gathered} \text{Given} \\ x^2+6x+8=0 \end{gathered}[/tex]

Determine the third term so that it is the perfect square of the trinomial.

Divide the coefficient of the second term, and square it. We get the following:

[tex]\begin{gathered} 6x\Rightarrow6 \\ \\ \Big(\frac{6}{2}\Big)^2 \\ =(3)^2 \\ =9 \end{gathered}[/tex]

This means that the third term should be 9. Since we already have 8 as the third term of the given equation, add 1 on both sides to get the perfect square on the left side. Therefore, we have the following steps.

[tex]\begin{gathered} x^2+6x+8=0 \\ x^2+6x+8+1=0+1 \\ x^2+6x+9=1 \\ (x+3)^2=1 \end{gathered}[/tex]

The number 25.5 is what percent of 51?

### Answers

To finf this, we simply divide 25.5 by 51, and then multiply the result by 100.

This is done as follows:

[tex]\begin{gathered} \frac{25.5}{51}\times100 \\ \Rightarrow0.5\times100 \\ =>\text{ 50 percent} \end{gathered}[/tex]

**Therefore 25.5 is 50% of 51**

I need help with steps on how to solve and how to get the answer

### Answers

two rectangles to be similar, their sides have to be proportional (form equal ratios). The ratio of the length should equal the ratio of the width.

thus,

[tex]\begin{gathered} \frac{12}{x}=\frac{6}{10} \\ 12\cdot10=6x \\ 120=6x \\ x=\frac{120}{6} \\ x=20 \end{gathered}[/tex]

Therefore x=20.

Solve the following system by elimination. Show work and explain each step. [tex]3x + y = 13 \\ 4x - 3y = 13[/tex]

### Answers

There are two equations given 3x + y = 13 and 4x - 3y = 13.

Multiply the first equation by 3 to get 9x + 3y = 39 and add it to second equation.

[tex]\begin{gathered} 9x+3y+4x-3y=39+13 \\ \Rightarrow13x=52 \\ \Rightarrow\frac{13x}{13}=\frac{52}{13} \\ \Rightarrow x=4 \end{gathered}[/tex]

Substitute x = 4, in first equation to find y,

[tex]\begin{gathered} 3(4)+y=13 \\ \Rightarrow12+y=13 \\ \Rightarrow y=13-12 \\ \Rightarrow y=1 \end{gathered}[/tex]

The function g(x) is a transformation of f(x). Graph g(x) on the given coordinate plane.

### Answers

**For the point 19,** we need to note that the function g(x) is the function f(x) moved 2 units to the left in the x-axis and moved 4 units upward in the y-axis, then we need to return this transformation to get back to f(x), then what we need to do is to move the graph two units to the right and 4 units down, and the result will be:

**For the point 20**, what we are going to do is to look at each of the points and transform them to the preimage. for example:

since g(-3)=2 then 2f(-3-3)-2=2 then f(-6)=2

since g(-2)=4 then 2f(-2-3)-2=4 then f(-5)=3

since g(0)=1 then 2f(0-3)-2=1 then f(-3)=1.5

since g(1)=3 then 2f(1-3)-2=3 then f(-2)=2.5

since g(3)=3 then 2f(3-3)-2=3 then f(0)=2.5

now we can graph these points to obtain the new graph:

**For the point 21:**

since g(-3)=2 then 1/2f(-(-3))-4=2 then f(3)=12

since g(-2)=4 then 1/2f(2)-4=4 then f(2)=16

since g(0)=1 then 1/2f(0)-4=1 then f(0)=10

since g(1)=3 then 1/2f(-1)-4=3 then f(-1)=14

since g(3)=3 then f(-3)=14... and now we can do the third graph:

if the vertical height of the roller coaster below is 315 feet, find d to the nearest foot.

### Answers

we have that

cos(47)=315/d -----> by adjacent side divided by the hypotenuse

solve for d

d=315/cos(47)

d=462 feet

therefore

answer is option B

Brigg's Widgets used market surveys and linear regression to develop a demand function based on the wholesale price. The demand function is q = –120p + 9,000. The expense function is E = 6.00q + 15,000.

a. Express the expense function in terms of p.

b. At a price of $15.00, how many widgets are demanded?

c. How much does it cost to produce the number of widgets from part b?

### Answers

Considering the given demand and expense **functions**, it is found that:

**a. **The **expense **function in terms of p is written as follows: E = -720p + 20,400.

**b. **At a price of $15, the **demand **is calculated as 7200.

**c.** Using the expense function, the **cost **to produce the 7200 widgets is of $58,200.

Functions

The **demand **function is presented as follows:

q = -120p + 9000.

The **expense **function is presented as follows:

E = 6q + 15,000.

In **terms of p**, the expense function is found replacing the lone instance of q in E by it's definition of -120p + 900, hence:

E = 6(-120p + 900) + 15,000

E = -720p + 20,400.

At a **price **of $15, the **demand **is calculated replacing the lone instance of p by 120 in the demand function, hence:

q = -120 x 15 + 9000 = 7200.

The **cost **to produce the 7200 widgets is calculated replacing the lone instance of q by 7200 in the expense function as follows:

E = 6(7200) + 15,000 = $58,200.

A similar problem, also about **functions, **is presented** **at https://brainly.com/question/25537936

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SCIENTIFIC NOTATION #1 math Win 40 ART A: Write each of the measurements below using standard notation. 2. A hou 1. An elephant weighs 1.3 x 104 lbs. 30000 00 ART B: Write each of the measurements below using scientific notation. 3. An airplane flies 560 kilometers/hour 4. A sed ex lol

### Answers

Part C:

4.

**Answer:**

**The United states population is ****5 times**** larger than the United Kingdom population.**

**Explanation:**

Given in the question;

The United states has a population of

[tex]3\times10^8=300,000,000[/tex]

While, The United Kingdom has a population of

[tex]6\times10^7=60,000,000[/tex]

The ratio of the population of the United states to that of the United Kingdom is;

[tex]\begin{gathered} r=\frac{3\times10^8}{6\times10^7}=\frac{300,000,000}{60,000,000} \\ r=\frac{30}{6} \\ r=5 \end{gathered}[/tex]

Therefore, **the United states population is ****5 times**** larger than the United Kingdom population.**

A dietitian believes that eating more leafy green vegetables lowers blood pressure. She asks a group of you and yourfriends to continue eating as you normally do. She asks your brother and his friends to add two servings of spinach totheir daily diet. She records the blood pressure levels of all subjects before and after the diet change. Which group of anexperiment are you part of?-single-blind-confounding-control-experimental

### Answers

Answer: Confounding experiment

Explanation:

In this experiment, the following points are to be noted:

1) you and your friends are to continue with the normal meal they usually take

2) your brother and his friends are to add two servings of spinach to their daily meals.

From these two points mentioned, the dietician did not care about the normal meals that the participants always ate even before the experiment.

Also, all other factors that affect blood pressure apart from food are not considered. The participants are not subjected to the same conditions.

**We can then conclude that the experiment is not controlled**.

Since both the experimenter (the dietician in this case) and the participants know about the make up of the test,** it is not a single-blind test.**

**Since all the possible variables that affect body pressure are not made identical for all the participants, the experiment is a confounding experiments**

A chef had 7 potatoes. How many bowels of mashed potatoes could he make if each bowel used one-seventh of a potato?

### Answers

Since each bowel use one-seventh of a potato;

and the chef had 7 potatoes;

Then, he could make;

[tex]\begin{gathered} 1bowel\rightarrow\frac{1}{7}potato \\ \text{xbowel}\rightarrow7potatoes \\ x=\frac{7}{\frac{1}{7}} \\ x=7\times7 \\ x=49\text{bowels} \end{gathered}[/tex]

Thus, the chef could make **49 bowels of mashed potatoes ** with his 7 potatoes.