Without factoring, determine which of the graphs represents the function g(x)=21x2+37x+12 and which represents the function h(x)=21x2−37x+12. Explain your reasoning. The graph of represents the function g(x)=21x2+37x+12. The graph of represents the function h(x)=21x2−37x+12. Because c is positive, the constant terms in each factor must have signs. Because the function has a positive value for b, the constant terms in each factor will both be which results in Response area roots, and the graph of Response area has two Response area x-intercepts. Because the function has a negative value for b, the constant terms in each factor will both be which results in Response area roots, and the graph of Response area has two Response area x-intercepts.

Answers

Answer 1

Answer:

The graph which represents the function g(x) = 21·x² + 37·x + 12, is described as follows;

Because 'c' is positive, the constant terms in each factor must have the same signs

Because the function has a positive value for 'b', the constant terms in each factor will both be positive which results in negative  roots and the graph of the function, g(x) = 21·x² + 37·x + 12, has two negative x-intercepts

The graph which represents the function h(x) = 21·x² - 37·x + 12, we have is described as follows;

Because 'c' is positive, the constant terms in each factor must have the same signs

Because the function has a negative value for 'b', the constant terms in each factor will both be negative which results in positive roots and the graph of the function, g(x) = 21·x² + 37·x + 12, has two positive x-intercepts

Step-by-step explanation:

The given functions are;

g(x) = 21·x² + 37·x + 12

h(x) = 21·x² - 37·x + 12

For the graph which represents the function g(x) = 21·x² + 37·x + 12, we have

Because 'c' is positive, the constant terms in each factor must have the same signs

Because the function has a positive value for 'b', the constant terms in each factor will both be positive which results in negative  roots and the graph of the function, g(x) = 21·x² + 37·x + 12, has two negative x-intercepts

For the graph which represents the function h(x) = 21·x² - 37·x + 12, we have

Because 'c' is positive, the constant terms in each factor must have the same signs

Because the function has a negative value for 'b', the constant terms in each factor will both be negative which results in positive roots and the graph of the function, g(x) = 21·x² + 37·x + 12, has two positive x-intercepts

Without Factoring, Determine Which Of The Graphs Represents The Function G(x)=21x2+37x+12 And Which Represents
Without Factoring, Determine Which Of The Graphs Represents The Function G(x)=21x2+37x+12 And Which Represents

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Antonio eats 1 slice of pizza in 3 minutes. How long will it take Antonio to eat 4 slices?​

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Answer:

12 minutes

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That's the answer

Select each expression that has a value of 15 when x = 15.
A.
15 -
+ 10
B.
15,521 = x
C. (3,015 - x) - 186
D. 20x2 = 30
E
222
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5 is the correct answer for the formula

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Answer:

Step-by-step explanation:

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The total volume of both of them is

V=3(6)2+4(3)2

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the ratio of the fourth to the first term of a geometric sequence is ⅛. if the first term exceeds the second term by 5, find the first and the 8th term of the sequence?​

Answers

Answer:

a = 10

T8 = 1280

Step-by-step explanation:

The nth term of a GP is expressed as;

Tn = ar^n-1

Forth term T4 = ar^3

first term = a

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ar^3/a = 1/8

r^3 = 1/8

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a = 5 + T2

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What is the slope of the line

Answers

Answer:

slope = 1

Step-by-step explanation:

(0 , 1)  ; (-1 , 0)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]=\frac{0-1}{-1-0}\\\\=\frac{-1}{-1}\\\\=1[/tex]

Each group of tables in the cafeteria is set up in 3 rows with 3 in each row. Mr. Grant needs 27 tables for the open house. How many groups of tables does he need to set up?

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the answer has to be 3

This spinner is spun 42 times. The spinner landed on A 18 times, on B 17 times, and on C 7 times. Compute the empirical
probability that the spinner will land on A.
B
A
C С
Express the answer as a fraction"/" in simpliest form.

Answers

Answer:

3/7

Step-by-step explanation:

18/42 without being simplified

gayshxhudjsjsizjzbsjzuzjbsj

A new energy drink advertises 130 calories for 6 oz. How many calories are in 18oz of the drink?

Answers

Answer:

390 calories

Step-by-step explanation;

18/3=6

130 x 3 = 390

Answer:

390

Step-by-step explanation:

You can set up a simple ratio, 130 is to 6 as x is to 18.  Notice how 6x3=18 so since you multiplied the 6 by 3, then multiply the 130 by 3, so 130 x 3 = 390 calories

Which of the following is the difference of two squares?
16a ˆ2-9bˆ6
25mˆ2+100nˆ2
2xˆ2-4yˆ2
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Answer:

2xˆ2-4yˆ2

Step-by-step explanation:

Classify the numbers. Some numbers may belong in more
than one box.
45 48 81 84 99

Answers

Answer:

3&9= 81, 99, 45 5&9= 45 2&6= 48, 84

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Answer:

<R=95 degrees (vertical angle theorem).

Step-by-step explanation:

you want to make a playlist with your top 12 favorite songs. in how many different ways can the playlist be made. order matters ​

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Answer:

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This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Multi-Step A court reporter types 1.5 words per second.



Part A



Graph the relationship, where x is the time in seconds and y is the number of words typed.

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I believe it would be Y=1.5x I say this because x represents the seconds and they can type 1.5 words Per second so you would be 1.5x and Y is the number of words which would be the solution at the end of the problem, this is why you put Y=

Find the distance between these points in two ways: (-2, 5) and (4, 13).
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formula.

Answers

Answer:

[tex]\displaystyle d = 10[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-2, 5)

Point (4, 13)

Step 2: Identify

x₁ = -2, y₁ = 5

x₂ = 4, y₂ = 13

Step 3: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

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Rick wants to buy a tool set with an original price of $165. Next week, the tool set will be on sale for $40 off. What is the sale
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Answers

Answer:

$125 is the sale price.

Step-by-step explanation:

Answer:

24.24% off

Price of tool set: $125

Step-by-step explanation:

$40 is the price change

You can divide 40 by the original price which is 165 and then multiply by 100 to get your percentage change.

40 / 165 = 0.2424

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Answers

Answer:

Ans: H and A

Step-by-step explanation:

By the identity:

1-(cos(x))[tex]cos^{2}(x)+ sin^{2}(x)=1\\cos^{2}(x)=1- sin^{2}(x)\\\\cos(x)=\sqrt{1- sin^{2}(x)} \\sin(x)=\sqrt{1- cos^{2}(x)}\\\\\sqrt{1- cos^{2}(x)}/sinx=1\\\sqrt{1- sin^{2}(x)}/cosx=1\\\sqrt{1- cos^{2}(x)}/sinx+\sqrt{1- sin^{2}(x)}/cosx=2\\\\\\[/tex]

Ans: H

For second quesiton, the transformation of a graph is that:

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Answers

Answer:

1. x1=15.75.

2. 24/48=0.5

3. 24/25=0.96

Step-by-step explanation:

1. 15.75/18=0.875

2. you multiply 48 times 0.5 to find 24.

3. multiply 0.96 with 25 to get 24.

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Answers

Answer:75.398

Step-by-step explanation:

Last week, the Bay City Bus Company tracked how long their school buses took to complete their routes. This box plot shows the results. Length of route (min.) 24 26 28 30 32 34 What percent of the buses completed their routes in 27 to 30 minutes?

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Plot: \{24, 26, 28, 30, 32, 34\}[/tex]

Required

Determine the percentage of those who uses the bus for 27 to 30 mins

The box plot is not given. So, I will make assumptions in order to solve this question.

Assume the following readings from the box plot:

[tex]Total\ Buses= 60[/tex]

[tex]27-30\ Minutes = 20\ buses[/tex]

Using these assumptions, the required percentage is:

Total = 6

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[tex]Percent = \frac{27\ to\ 30\ mins}{Total} * 100\%[/tex]

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Answer:

50%

Step-by-step explanation:

I took the test!

If x=−1and y=−3, then 5(x2−7+y)=

Answers

my answer would be -60

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Answers

Given:

The two ratios are 13:15 and 30:26.

To find:

Whether the given ratios are equivalent or not.

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Two ratios are equivalent if the values of the ratio are equal after simplification.

[tex]13:15=\dfrac{13}{15}[/tex]

And,

[tex]30:26=\dfrac{30}{26}[/tex]

[tex]30:26=\dfrac{15}{13}[/tex]

[tex]30:26=15:13[/tex]

The first ratio is 13:15 and the value of second ratio after simplification is 15:13 both ratios are different, so,

[tex]\dfrac{13}{15}\neq \dfrac{30}{26}[/tex]

Therefore, the required answer is "No", the given ratios are not a pair of equivalent ratios.

Y=-4x - 18 y=-10x-36
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Answers

Answer:

Step-by-step explanation:

-10x - 36 = -4x - 18

-6x - 36 = -18

-6x = 18

x = -3

y = -4(-3) - 18= 12 - 18 = -6

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The equation $(x - 7)^2 + (y + 13)^2 = 12$ represents a circle. What is its radius?

Answers

Answer:

2√3

Step-by-step explanation:

The standard equation of a circle is expressed as;

(x-a)²+(y-b)² = r² where;

(a, b) is the center of the circle

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On comparing;

r² = 12

Take the square root of both sides

√r² = √12

r = √12

r = √4*3

r = 2√3

Hence the radius of the circle is 2√3

Answer: 2 sqrt 3

Step-by-step explanation:

Abby is helping the art teacher pass out paint. She finds 9 full jugs of paint on a shelf. Each jug holds 3 liters. How much paint is on the shelf in all?

Answers

27 liters of paint... 3 liters per jug a total of 9 jugs meaning 9x3=27

What are all of the factors for 12 and 30? If you answer thank you for helping, I really appreciate it.

Answers

Answer:

12

2,3,4,6

30

12,3,5,6,10,15

106 lb decreased by 5% is

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percent of its value = 100.7
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Answer:

6^5 or 7776

Step-by-step explanation:

When you divide exponentials you minus the exponents. 15-10=5

6^5 = 7776

Answer:

6^5 = 7776

Step-by-step explanation:

6^15 /6^10 = 6^(15-10) = 6^5 = 7776

1 point
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Commutative
Associative
Distributive
Identity
Inverse

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Answers

Answer:

According to the table in both equation u can see the similar variables x=1, y=3

Step-by-step explanation:

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A rectangle deck has a length of 12 feet and a perimeter of 36 feet. What is the width and area

Answers

Answer:

width : 6 feet

area : 72

.................

Answer:

The deck is not rectangular

Width: 12

Area: 144

Step-by-step explanation:

Width:

36-(12*2)=24

36-24=12

Area

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