Which statements are true about the graph of the function f(x) = 6x – 4 + x2? Select two options. The vertex form of the function is f(x) = (x – 2)2 + 2. The vertex of the function is (–3, –13). The axis of symmetry for the function is x = 3. The graph increases over the interval (–3, infinity). The function does not cross the x-axis.
Answers
Answer:
B, D
Step-by-step explanation:
If you're going to make claims about the graph, it is helpful to see a graph (attached).
A) The vertex form of the function is f(x) = (x +3)^2 -13, not the one shown.
B) The vertex is (-3, -13). True
C) The axis of symmetry is x = -3, not the one given.
D) The graph increases for x > -3. True
E) The function crosses the x-axis at about x=-6.6 and x=0.6.
A function assigns the values. The statements that are true about the given function are B and D.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Here, we have,
To know the correct statements about the graph of the function f(x)=6x-4+x², we need to plot the graph, as shown below.
A.) The vertex form of the function is f(x)=(x-2)²+2.
To know if the vertex form of the function is f(x)=(x-2)²+2, solve the equation and check if it is of the form f(x)=6x-4+x².
Since the two functions are not equal this is not the vertex form of the function is f(x)=6x-4+x².
B.) The vertex of the function is (-3, -13).
As can be seen in the image below, the vertex of the function lies at (-3,-13.) Therefore, the statement is true.
C.) The axis of symmetry for the function is x = 3.
As the vertex is at -3, therefore, the function symmetry will be about x=-3.
Hence, the given statement is false.
D.) The graph increases over the interval (-3).
The given statement is true since the graph will be showing a positive slope in the interval (-3, +∞).
E.) The function does not cross the x-axis.
It can be observed that the function intersects the x-axis exactly at two points, therefore, the given statement is false.
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Related Questions
The steepness or grade of a road is expressed as a percent. if a road rises 6feet for every 24 horizontal feet. What is the slope of the road? what percent grade is this ?
Answers
Answer:
25%
Step-by-step explanation:
The ratio of rise to run is ...
rise/run = 6 ft/24 ft = 1/4
Expressed as a percentage, this is ...
1/4 × 100% = 25%
_____
Comment on this grade
Interstate highways are limited to a 7% grade. Most local jurisdictions limit the grade of a road to somewhere between 12% and 15%.
simplify (45) - (+14)
Answers
Answer:
31
Step-by-step explanation:
(45) - (+14)
45 - 14 (Negative sign is distributed)
=31
Cause 45 -14 =31
write the percent as a fraction or mixed number in simpelst form 35% A) 3 1/2 B) 13/20 C) 6 1/2 D) 7/20
Answers
Answer:
7/20
Step-by-step explanation:It is the same thing as .35. So just turn it into fraction and simplify.
Answer:
D) 7/20
Step-by-step explanation:
Divide 35 by 100:
35 / 100 = .35
Convert into a fraction and simplify:
[tex].35=\frac{35}{100}=\frac{35/5}{100/5}=\boxed{\frac{7}{20}}[/tex]
Option D should be the correct answer.
Solve for u, Simplify your answer as much as possible
52=5u-8
Answers
u = 12
Step-by-step explanation:
52 = 5u - 8
Step 1. Add 8 to both sides
60 = 5u
Step 2. Solve for u
5u = 60
u = 60/5
u = 12
Answer:
12 = u
Step-by-step explanation:
52=5u-8
Add 8 to each side
52+8=5u-8+8
60 = 5u
Divide each side by 5
60/5 = 5u/5
12 = u
can someone answer this QUICKLY and make it make SENSE please
Answers
Answer:
3x6, (3)(6), 6+6+6
Step-by-step explanation:
The are asking which equation matches the situation,...
3 tables, 6 chairs per table = 3 x 6chairs = 18 chairs
3x6
(3)(6)
6+6+6
What they want you to do is put that equation 3x6 in the "Represent the Situation" box and the rest in the "Do not represent Situation" one
A percent is the numerator of a ratio whose denominator is A. 25 B. 50 C. 75 D. 100
Answers
I am sure the answer is D
Answer:
D 100
Step-by-step explanation:
60% = 60/100
70% =70/100
. Emma wanted to make an origami fish for each of her 22 classmates. She takes 30 minutes to make one fish. How long will Emma take to make all the fish? A 320 minutes B 11 hours © 600 minutes D 660 hours
Answers
Answer:
11 hours
Step-by-step explanation:
50 minutes = 1 hour
30 minutes = 1/2 hour
She takes 1/2 per fish.
1/2 * 22 = 11
Answer: 11 hours
Hope this helps!
Please help answer all these questions. I will give brainliest questions aint in order
Answers
Answer:
please send the questions again
In a Euler diagram, “No X are Y” would be represented how?
Answers
Answer: Two separated circles, one called X and the other called Y.
(so there is no element of the set X that is also in the set Y)
Step-by-step explanation:
"No X are Y"
This means that there is not a single element in the set X that is also in the set Y.
So in an Euler diagram, you can represent this as two circles, one called Y and other called X, where the circles do not intersect or touch at any point.
This particular case is represented similarly to how you would represent it in a Venn diagram
system of equations. Think of a real-world example where you would need
to solve using a system of equations. Write two or three sentences
describing your example. Include the equations in your description, but do
not solve the system. That will be left to your classmates. helppppp
PLEASE HELP!!! ASAP!!!
Answers
Answer:
28 units²
Step-by-step explanation:
→ Work out the size of the triangle if it was a full rectangle
Height = 4 and Base = 2
→ Work out area of triangle
0.5 × Height × Base ⇒ 0.5 × 4 × 2 ⇒ 2 × 2 ⇒ 4
→ Minus the area of the triangle from the "imaginary full' rectangle
Area of rectangle = Length × Width ⇒ 8 × 4 ⇒ 32
32 - 4 = 28
Answer:
[tex]\huge\boxed{28\ units^2}[/tex]
Step-by-step explanation:
The figure consists of a triangle, a square and a rectangle.
Area of Triangle:
[tex]\sf \frac{1}{2} (Base)(Height)\\Where \ Base = 2 , Height = 4 \\=> \frac{1}{2} (2)(4)\\=> 4\ units^2[/tex]
Area of Square:
[tex]\sf (Length)(Length)\\(4)(4)\\=> 16\ units^2[/tex]
Area of rectangle:
[tex]\sf (Length)(Width)\\Where \ Length = 4 , Width = 2\\=> (4)(2)\\=> 8 \ units^2[/tex]
Area of the whole figure:
=> 4 + 16 + 8
=> 28 units²
Find the simple interest on \$5,000 at 4% interest for 3years.
Answers
As SI =PTR/100
SI=600$
I will give BRAINIEST to the next person who answers this!!
Answers
Answer:
Challenge #1:
Different examples:
2x+1=3x+2
4x+3=5x+4
3x+2=4x+3
Challenge #2:
Different examples:
2x+0=4x+1
3x+1=2x+5
6x+5=8x+6
Answer:
(-2x + 1 = 1x + 1) or (-4x + 2 = 2x + 2)
Step-by-step explanation:
7 divided by 900 please help this question is annoying
Answers
Perform the following calculation and express the answer in scientific
notation: 1.2 x 10^-2 m x 3.0 x 10^-6 m =
Answers
Answer:
Hey there!
1.2 x 10^-2 times 3.0 x 10^-6 = 3.6 x 10^-8 m^2.
Hope this helps :)
What is the solution to -5 + z = -12 A. z = -17 B. z = -7 C. z = 7 D. z = 17
Answers
Answer: -7
Step-by-step explanation:
Need help and show work plz
Answers
====================================================
Explanation:
With any parallelogram, the adjacent angles always add to 180 degrees.
(angle ADC) + (angle DCB) = 180
(angle ADC) + 120 = 180
angle ADC = 180 - 120
angle ADC = 60 degrees
--------
Angles 1 and 2 combine to form angle ADC by the angle addition postulate. This is just the idea of gluing smaller angles to form larger ones.
(angle 1) + (angle 2) = angle ADC
45 + (angle 2) = 60
angle 2 = 60-45
angle 2 = 15 degrees
What is 8.875% as a decimal and fraction in lowest terms???
I need help pls. Thxs!
Answers
Answer:
0.08875
71/800
Step-by-step explanation:
8.875% = 8.875/100 = 0.08875
8.875% = 8.875/100 = 8875/100000 = 1775/20000 = 355/4000 = 71/800
Answer:
0.08875
Step-by-step explanation:
Convert .23 Kiloliters to liters
what’s the answer?
Answers
Answer:
230 liters
Step-by-step explanation:
1000 liters is 1 kiloliter
Multiplying by the conversion factor
.23 kiloliters * 1000 liter/ 1 kiloliter= 230 liters
Answer:
= 230litres
Step-by-step explanation:
know that
1000liters makes 1 kilometer
if 1000liters make 1kilometer then we will multiply 0.23 by 1000litres
that is,
0.23 x 1000
= 230litres
Find RS. A. 5 B. 10 C. 9 D. 12
Answers
Answer:
RS = 5
Step-by-step explanation:
To find x use the equation 2x - 6 + 1 + x - 4 = 18
When you solve this x should equal 9
To find RS plug in x in (x-4)
9 - 4 (5)
Answer:
5 (Answer A)
Step-by-step explanation:
From the diagram we know that 2x - 6 + 1 + x - 4 must equal 18.
Then 2x - 6 + 1 + x - 4 = 18. Combining like terms, we get:
3x - 5 - 4 = 18, or 3x - 9 = 18
Then 3x = 27, and so x must be 9.
Then the length of RS is 9 - 4 = 5 (Answer A)
John and Maria also want to put new tile in their living room. The floor measures 20 feet long by
20 feet wide. The tiles they want to purchase cost $2.25 each, and each tile covers exactly 1 square
foot of floor space. How much will they need to spend on tile? (Section 10.8) (1 point)
Answers
Answer:
$900
Step-by-step explanation:
First, find the area of the floor with the equation A = lw
A = lw
A = (20)(20)
A = 400 ft²
Since each tile covers 1 sq ft and the floor's area is 400 sq ft, they will need 400 tiles.
To calculate the total cost, multiply 400 by 2.25
400(2.25) = 900
= $900
Witch one do I pick
Answers
Answer:
c
Step-by-step explanation:
NEED IT ASAP
Tony is shopping for new tires for his 4-wheel-drive truck. In addition to the price of the tires, there is a 10% sales tax plus a state-mandated $45 fee for disposing of his old tires. If Tony has determined that he will spend less than $559.80 total, then what is the price range he can spend on the tire set?
Answers
Sry couldn't find the answer
Find the sine and cosine of each angle as a fraction and as a decimal. Round to the nearest hundredth.
Answers
Answer:
1st triangle:
sin(C): 0.64, [tex]\frac{16}{25}[/tex]
cos(C): 0.8, [tex]\frac{4}{5}[/tex]
Second triangle:
sin(C): 0.75, [tex]\frac{\sqrt{5} }{3}[/tex]
cos(C): 0.67, [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Using SOH CAH TOA, we know that to find the sin of an angle, it's Opposite/Hypotenuse.
To find the cos of an angle, it's adjacent/hypotenuse.
In the 1st triangle:
The adjacent to C is 16, the hypotenuse is 25.
[tex]\frac{16}{25} = 0.64[/tex] is the sin of C.
The adjacent to C is 20, and the hypotenuse is 25.
[tex]\frac{20}{25} = 0.8[/tex] is the cos of C.
In the second triangle:
The opposite to C is [tex]\sqrt{5}[/tex] and the hypotenuse is 2.
[tex]\frac{\sqrt{5} }{2} \approx0.75[/tex] is the sin of C.
The adjacent to C is 2 and the hypotenuse is 3.
[tex]\frac{2}{3} \approx 0.67[/tex] is the cos of C.
Hope this helped!
pleeeaaaasseeeee help me!!!
determine the percent of change. round to the nearest whole percent if necessary. original: 250 new: 100
Answers
Answer:
going from new to original would be times 2.5
from original to new would be time 0.4
Step-by-step explanation:
new to original is the 250/100
original to new is 100/250
Answer:
-60%
Step-by-step explanation:
First, find the difference
250 - 100 = 150
Then divide the decrease by the original number
150/250 = 0.6
And to convert this to a percentage all you have to do is multiply it by 100
0.6(100) = 60
The percent of change is -60% which is a decrease since it's negative
If 120 is divided into 3 parts which are proportional to 1, [tex]\frac{1}{2} [/tex], and [tex]\frac{1}{6}[/tex], what is the middle part?
Answers
[tex]k+\frac{k}{2}+\frac{k}{6}=120\\\\6k+3k+k=720\\10k=720\\k=72[/tex]
72,36,12
answer: 36
Can someone help me with this math problem
Answers
Answer:
B. (m-1)(m-8)
Step-by-step explanation:
The factors of 8 (constant term) are
{(1,8), (2,4)}, from which we see that 1+8 = 9, the absolute value of the coefficient of the second term.
Therefore we can group the expression as
m^2 - 9m + 8
= m^2-m - (8m -8)
then factor each group
= m(m-1) - 8(m-1)
and factor out (m-1)
= (m-1)(m-8)
According to the 2000 census, the population of a city was 935,426. According to the 2010 census, the population of the same city was 934,578. Taylor says the 2000 population was greater than the 2010 population.
1. - Construct an argument that supports Taylor's conjecture.
2. - In 1870, the population was seventy-two thousand, five hundred six. Lupita wrote 72,560. Construct a math argument that explains whether Lupita wrote the number correctly.
Answers
2. Lupita is wrong it should be seventy-two thousand five hundred sixty.
The Taylor is right and Lupita is wrong.
It is required to Construct a math argument.
What is a statement?A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.
Given:
In 2000 census, the population of a city was 935,426.
In 2010 census, the population of the same city was 934,578.
1. Taylor is correct because in the thousands place there is a a five for 2000 and 2010 it’s a 4.
2. Lupita is wrong it should be seventy-two thousand five hundred sixty.
Therefore, the Taylor is right and Lupita is wrong.
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An isotope of lead, 201Pb, has a half-life of 8.4 hours. How many hours ago was there 70% more of the substance? (Round your answer to one decimal place.) hr
Answers
Step-by-step explanation:
half life time-50%-8.4hr
so for 10%- 8.4/5=1.68 hr
now for 70%
1.68 × 7 = 11.76 hrs
to one decimal place - 11.8hrs
11.8 hours ago, there were 70% more of the substance if an isotope of lead has a half-life of 8.4 hours.
What is half-life?Half life is the time that it takes for half of the original value of some amount of a radioactive element to decay.
Half-life period - 50% -8.4hours
so for 10%- 8.4/5 = 1.68 hour
now for 70%
1.68 × 7 = 11.76 hours
To one decimal place - 11.8hours
Hence, 11.8hours is the answer.
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Which list shows the order of the numbers from greatest to least? List 1: 2.3, 2.03, 2.5, 0.25 List 2: 0.25, 2.5, 2.03, 2.3 List 3: 2.03, 2.3, 2.5, 0.25 List 4: 2.5, 2.3, 2.03, 0.25
Answers
Answer:
4
Step-by-step explanation:
2.5, 2.3, 2.03, .25
2.5,2.3,2.03,0.25
what is the domain of the function shown in the graph below?
Answer type: interval, all real numbers, all values except one, all values except two
interval:
Answers
Answer:
All except one interval [-2,8]
Step-by-step explanation:
Notice that the function, wich an hyperbola, has a vertical asymptote in both -2 and 8 and there is nothing between this two values.
So we will exclude what's between them out of the domain.