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:
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
Related Questions
Pls do this it’s due tomorrow ASAP
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Answer:
Step-by-step explanation:
The volume of each is just the product of its dimensions
V=xyz
The total volume of both of them is
V=3(6)2+4(3)2
V=36+24
V=60 cm^2
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?
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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.
Answers
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
106 lb decreased by 5% is
Answers
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
If the ratio of the fourth to the first term of a geometric sequence is ⅛ then;
ar^3/a = 1/8
r^3 = 1/8
r = ∛1/8
r = 1/2
If the first term exceed the second by 5, then;
a = 5 + T2
a = 5 + ar
a = 5 + a(1/2)
a-1/2a = 5
1/2 a 5
a = 10
Hence the first term is 10
T8 = ar^7
T10 = 10(1/2)^7
T10 = 10(128)
T10 = 1280
Hence the 8th term is 1280
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
27 to 30 minutes = 2
[tex]Percent = \frac{27\ to\ 30\ mins}{Total} * 100\%[/tex]
[tex]Percent = \frac{20}{60} * 100\%[/tex]
[tex]Percent = \frac{2000}{60} * \%[/tex]
[tex]Percent = 33.33 * \%[/tex]
Answer:
50%
Step-by-step explanation:
I took the test!
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
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?
Answers
Find the distance between these points in two ways: (-2, 5) and (4, 13).
a. Use the point ( - 2, 5) as (x1, y1) and the point (4, 13) as (x2, y2) in the distance
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 RightAlgebra 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
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(4+2)^2+(13-5)^2}[/tex][Distance] [√Radical] (Parenthesis) Add/Subtract: [tex]\displaystyle d = \sqrt{(6)^2+(8)^2}[/tex][Distance] [√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{36+64}[/tex][Distance] [√Radical] Add: [tex]\displaystyle d = \sqrt{100}[/tex][Distance] [√Radical] Evaluate: [tex]\displaystyle d = 10[/tex]pls help. whats 6¹⁵÷6¹⁰=?
Answers
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
Y=-4x - 18 y=-10x-36
It’s system of equations PLS HELP ITS DUE TOMORROW
Answers
Answer:
Step-by-step explanation:
-10x - 36 = -4x - 18
-6x - 36 = -18
-6x = 18
x = -3
y = -4(-3) - 18= 12 - 18 = -6
(-3, -6)
Help pls-
I dont know it T^T
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:
f(x) + k means vertical translation up by k units
Two curve have the same maximum value, so the graph doesn't translate upwards or downwards, thus b=0
Ans: A
Is 13:15 and 30:26 a pair of equivalent ratios and why?
Answers
Given:
The two ratios are 13:15 and 30:26.
To find:
Whether the given ratios are equivalent or not.
Solution:
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.
can someone help me?
(if you can show your work that would be nice).
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.
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
5
- 25
Answers
Answer:
5 is the correct answer for the formula
Solving the system of linear equations by graphing y= -2+5 and y=4x-1
Answers
Answer:
According to the table in both equation u can see the similar variables x=1, y=3
Step-by-step explanation:
Please I don't have graph with me
1 point
What mathematical property is most obviously demonstrated by the
following equation: 4(x-7) = 4x - 28*
Commutative
Associative
Distributive
Identity
Inverse
Answers
To the inbox folder and I will be in the morning and will be in the morning of my head to get in and I don't have a great evening around but when are looking through them so many more details so it wouldn't even when she
What is the surface area of the cylinder with height 4 yd and radius 2 yd? Round your answer to the nearest thousandth.
Answers
Answer:75.398
Step-by-step explanation:
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
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:
5 gehhdjjdehdhuhehhebvebejheu
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]
Can anyone please help me with the problem
Answers
Answer:
<R=95 degrees (vertical angle theorem).
Step-by-step explanation:
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
12*12=144
If x=−1and y=−3, then 5(x2−7+y)=
Answers
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
Antonio eats 1 slice of pizza in 3 minutes. How long will it take Antonio to eat 4 slices?
Answers
Answer:
12 minutes
4*3
That's the answer
Which of the following is the difference of two squares?
16a ˆ2-9bˆ6
25mˆ2+100nˆ2
2xˆ2-4yˆ2
4g-16h
Answers
Answer:
2xˆ2-4yˆ2
Step-by-step explanation:
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
price of the tool set?
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
0.2424 * 100 = 24.24
So there is 24.24% discount.
The equation $(x - 7)^2 + (y + 13)^2 = 12$ represents a circle. What is its radius?
Answers
Answer:
2√3Step-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
r is the radius of the circle
Given the equation (x - 7)^2 + (y + 13)^2 = 12
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: