Answers
Answer:
f ( x ) = - 2x^2 + 3x + 1
Step-by-step explanation:
If f (x ) extends to → − ∞, as x→ − ∞ , provided f(x) → − ∞, as x → +∞, we can rewrite this representation as such;
− ∞ < x < ∞, while y > − ∞
Now the simplest representation of this parabola is f ( x ) = - x^2, provided it is a down - facing parabola;
If we are considering a down - facing parabola, the degree of this trinomial we should create should be even, the LCM being negative. Knowing that we can consider this equation;
Solution; f ( x ) = - 2x^2 + 3x + 1, where the degree is 2, the LCM ⇒ - 2
Related Questions
A bicycle shop is selling $500.00 bikes. If the sales tax is 7%, what will the final cost of the bike be?
Answers
Answer:
The final cost of bike = $535.00Step-by-step explanation:
Cost of bikes = $500.00
If the sales tax is 7%, the amount paid as tax will be 7% of the total selling price of bike;
7% of $500.00
= [tex]\frac{7}{100} * 500\\[/tex]
= $35
The final cost of bike = initial selling price + amount paid as tax
The final cost of bike = $500.00 + $35.00
The final cost of bike = $535.00
2x-y<5
[tex]2x - y \leqslant 5[/tex]
Answers
Answer:
Step-by-step explanation:
Please be sure to include the directions when you post a question. I will assume you want to graph this inequality 2x - y ≤ 5.
2x - y = 5 is a linear function whose graph is that of a straight line. Because of the ≤ sign, the solution set includes all points on this straight line PLUS all points below it.
x - intercept: Set y = 0 in 2x - y = 5 and solve the resulting equation for x:
2x - 0 = 5. Then x = 5/2, and the x-intercept is (5/2, 0).
y-intercept: Set x = 0 and solve for y: 2(0) - y = 5: y = -5. Then the y-intercept is (0, -5).
Plot both points (5/2, 0) and (0, -5). Draw a solid line through them. Shade the area BELOW this line.
A car used 1/64 of a gallon of gas to drive 1/4 of a mile. At this rate, how many miles can a car travel using 1 gallon of gas?
Answers
Answer:
16 miles
Step-by-step explanation:
In order to find one gallon of gas, you multiply the 64 by 1/64 which will get you to 1 whole. Now you multiply the 64 by the 1/4 miles which will give you 16 miles.
PLEASE HELP I"M BEING TIMED!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Which expression is equivalent to log Subscript 12 Baseline StartFraction x Superscript 4 Baseline StartRoot x cubed minus 2 EndRoot Over (x + 1) Superscript 5 Baseline EndFraction?
4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x times 1)
4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline StartFraction x cubed Over 2 EndFraction minus 5 log Subscript 12 Baseline 1
log Subscript 12 Baseline 4 x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x) + 1
4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x + 1)
Answers
Answer:
[tex]D)4log_{12}x+\frac{1}{2} log_{12}(x^3-2)-5log_{12}(x+1)[/tex]
(4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x + 1)
Step-by-step explanation:
Given the expression:
[tex]log_{12}\dfrac{x^4\sqrt{x^3-2} }{(x+1)^5}[/tex]
first apply the division law of logarithm:
[tex]log_{a}x/y=log_{a}x-log_{a}y[/tex]
[tex]log_{12}\dfrac{x^4\sqrt{x^3-2} }{(x+1)^5}=log_{12}x^4\sqrt{x^3-2}-log_{12}(x+1)^5[/tex]
Next, by addition law:[tex]log_{a}xy=log_{a}x+log_{a}y[/tex]
[tex]=log_{12}x^4+log_{12}\sqrt{x^3-2}-log_{12}(x+1)^5\\\\Log a^m=mLog a, Log \sqrt{x}=log x^{1/2}\\\\ =4log_{12}x+log_{12}(x^3-2)^{1/2}-5log_{12}(x+1)\\\\=4log_{12}x+\frac{1}{2} log_{12}(x^3-2)-5log_{12}(x+1)[/tex]
Answer:
Its D on edge
Step-by-step explanation:
The two-way table of column relative frequencies below shows data on whether or not a person has internet access and their preferred method to communicate with friends.
Based on the data, which of the following statements must be true?
(Choice A)
A person who prefers to communicate with friends in person is more likely to have no internet access than to have internet access.
(Choice B)
A person with internet access is more likely than a person without internet access to prefer the wired telephone to communicate with their friends.
(Choice C)
A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends.
(Choice D)
More people without internet access prefer using social networking than people with internet access.
Answers
Answer: c
Step-by-step explanation: 54% of people with internet access prefer text messaging, while only 31% of people without internet access prefer text messaging.
Based on the data, Option (c) statements must be true. "A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends."
What is internet speed?It is Mbps or kbps of data packets that can be transferred within a specified time.
Because 54% of the people who have internet access uses the text messaging method While 31 % people with no internet access uses the text messaging method.Thus A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends.Learn more about internet speed,
https://brainly.com/question/13308791
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how many grams each of a 10% salt solution and a 5% salt solution must be mixed in order to obtain 400g of an 8% solution?
Answers
I dont want to give you the exact equation so u wont be copying- here is an example.
let x=grams of salt that you already have
let y=grams of salt that need to be added
let z=total amount of salt in the solution after adding salt
We know that salt makes up 25% of the 400g solution, and that 25% can also be written as .25. Thus, we can write an equation to determine x's value:
x=.25*400g
x=100g
Therefore, there are 100 grams of salt already in the solution.
Now that we've determined x's value, we'll bring z into the equation. There are two ways to calculate z. z is equivalent to the sum of x and y. Remember, x is equal to 100 grams. So, z's equation is as follows:
z=100g+y
The other way to calculate z is as a percentage of the final solution. As the question states, we want the final solution to have a salt content of 40% (which we can write as .40). The final amount of solution can be written as below:
400g+y=total amount of solution after adding salt.
This is because we are adding y (the amount of salt needed to bring the salt content to 40 percent)to the amount of solution which we already have.
Therefore, the second way to express z is below:
z=.40*(400g+y)
After we have two equations for z, we can set them equal to each other as follows:
100g+y=.40*(400g+y)
We then can distribute the .40 over the parenthesis.
100g+y=160g+.40y
And then we can subtract 100 grams from both sides of the equation.
y=60g+.40y
Next, we subtract .40 y from both sides of the equation to get y on one side.
.6y=60g
Finally, we can divide both sides by .6 to isolate y.
y=100g
Therefore, you must add 100g of salt to the solution to make it 40 percent salt.
DID I DO IT RIGHTT?? pls tell me
Eduardo is filling containers with water to make lemonade. He filled 4 containers in 29 minutes, and each container holds 8.7 gallons. At what rate did Eduardo fill the containers?
Answers
Answer: 7.25 minutes per container.
Step-by-step explanation:
Your looking for a ratio of time per container. 29/4 is the given ratio it was simplified to 7.25/1. Or simply 29 divided my 4.
I am not sure if this is right can someone check it ASAP please
Answers
Answer:
x=10
Step-by-step explanation:
3(4x-12) = 84
Divide each side by 3
3/3(4x-12) = 84/3
4x-12 =28
Add 12 to each side
4x-12+12 = 28+12
4x= 40
Divide each side by 4
4x/4 = 40/4
x = 10
Squaring both sides of an equation is irreversible. Is Cubing both sides of an equation reversible? Provide numerical examples to help support your answer.
Answers
Answer:
Cubing both sides of an equation is reversible.Step-by-step explanation:
Squaring both sides of an equation is irreversible, because the square power of negative number gives a positive result, but you can't have a negative base with a positive number, given that the square root of a negative number doesn't exist for real numbers.
In case of cubic powers, this action is reversible, because the cubic root of a negative number is also a negative number. For example
[tex]\sqrt[3]{x} =-1[/tex]
We cube both sides
[tex](\sqrt[3]{x} )^{3} =(-1)^{3} \\x=-1[/tex]
If we want to reverse the equation to the beginning, we can do it, using a cubic root on each side
[tex]\sqrt[3]{x}=\sqrt[3]{-1} \\\sqrt[3]{x}=-1[/tex]
There you have it, cubing both sides of an equation is reversible.
Cal's go cart has a gas tank with the dimensions shown below. He uses a gas can that holds 111 gallon of gas, to fill the go cart tank. 111 gallon = 231 inches^3
Answers
Awnser
8 gallons of cans
Multiply the polynomials: (2x^3−4x)(3x^2+2)
6x^5−16x^3+8x
x^5+18x^3−6x
5x^6+11x^3+8x
6x^5−8x^3−8x
Answers
a trapezoid has bases that measure 9cm and 5 cm. the height of the figure is 4cm. what is the area of the trapezoid
Answers
Answer:
28cm^2
Step-by-step explanation:
The area of a trapezoid is the bases added divided by two times the height.
(9+5)/2*4=7*4=28
28cm^2
what’s the answer for this question
Answers
Answer:
What is the perimeter? 89 cm
Step-by-step explanation:
(35.2 + 11.9) + (35.2 + 12.7)
= 47.1 + 47.9
= 89 cm
Which is the solution to
2x − y = 1
4x + y = 11 ?
A) (−2, 3)
B) (2, 3)
C) (3, 2)
D) (3, −2)
Answers
Answer:
B
Step-by-step explanation:
2 x 2 = 4 - 3 = 1
4 x 2 = 8 + 3 = 11
Hi there! I need some help with this question, thx!
In the table, Pattern A uses the rule "add 5" and Pattern B uses the rule "add 15."
Pattern A is 0, 5, 10, 15, 20
Pattern B is 0, 15, 30, 45, 60
Which statement is true?
A. Every term in Pattern B is 3 times the corresponding term in Pattern A.
B. Every term in Pattern B is 10 more than the corresponding term in Pattern A.
C. Every term in Pattern B is 5 times the corresponding term in Pattern A.
D. Every term in Pattern B is 13 the corresponding term in Pattern A.
Answers
Answer:
sky im going with A
Step-by-step explanation:
Please help!!!!!!!
Anyone help!
Answers
x=7
Step-by-step explanation:
median is the middle no.=6 and x
it will be 6+x=13
take 6 to the other side=7, hence x=7
I REEAAALLLYY NEED HELP!!!!!!! PLS
Answers
Answer:
3 1/4 inches
Step-by-step explanation:
If you just find the tallest conifer which is 9 1/2 and subtract it from the smallest which is 6 1/4 it equals 3 1/4.
16x^4y^2(9x^3y^4) fully simply
Answers
Answer:
[tex]=144x^7y^6[/tex]
Step-by-step explanation:
[tex]16x^4y^2\left(9x^3y^4\right)\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\x^4x^3=\:x^{4+3}\\=16y^2\cdot \:9x^{4+3}y^4\\\mathrm{Add\:the\:numbers:}\:4+3=7\\=16y^2\cdot \:9x^7y^4\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\y^2y^4=\:y^{2+4}\\=16\cdot \:9x^7y^{2+4}\\\mathrm{Add\:the\:numbers:}\:2+4=6\\=16\cdot \:9x^7y^6\\\mathrm{Multiply\:the\:numbers:}\:16\cdot \:9=144\\=144x^7y^6[/tex]
Answer:
Step-by-step explanation:
2 x(4−3xy^2)/y
What is another way to represent 3%?
Answers
Answer: 0.03
Step-by-step explanation:
3% in decimal form is 0.03
Answer:
The decimal form, which would be 0.03
People would say the decimal will be 0.3, but that is 30%, so the decimal would be 0.03.
what is 2x+3=x+15 100 points i don't want points
Answers
anewr
you could caluta
Step-by-step explanation:
Answer:
X = 12
Step-by-step explanation:
2x + 3 = x + 15
2x + 3 = x = -3
-3 + 15 = 12
So X = 12
Hope I helped!
Have a good day. =)
63x−8≤23 OR −4x+26≥6
Answers
Answer:
63x-8<23
63x<23+8
63x < 31
63. 63
x < 0.492
Need help ASAP. WILL MARK BRAINLIEST.
Answers
Answer:
2, 18, 56.52, It will double as well.
Step-by-step explanation:
First, multiply the radius by 9 to get the diameter, 18 inches. Then, multiply the diameter by 3.14(an approximation for pi) to get a circumference of about 56.52 inches.
If the diameter is doubled what happens to the circumference? Explain.
It will double because its like a second layer is added on, and 56.52 x 2 = 113.04, which would be the doubled circumference.
Hope this helps! :)
Need question help here!
Answers
Answer:
C
Step-by-step explanation:
6) Troy has a garden that is 17 feet by 14 feet. He is planning on planting some
bulbs in the garden. Each bulb requires 2 square feet of space. How many bulbs
can Troy plant in the garden? *
119
Answers
Answer:
140
Step-by-step explanation:
first multiply 17 by 14 to get 238 then dived 238 by 2 to get 140
At the end of a snow storm, Caroline saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. The depth of snow on Caroline's lawn, in inches, can be modeled by the function S(t)=-0.75t+15,S(t)=−0.75t+15, where tt is the time, in hours, after the snow stopped falling. What is the slope of the function and what is its interpretation in the context of the problem?
Answers
Answer:
-15
Step-by-step explanation:
Jason runs 440 yards in 75 seconds.at this rate,how many minutes does it take him to run a mile
Answers
Answer:
5 minutes
Step-by-step explanation:
Do a proportion
440/75= 1760/x
cross multiply
440x=1760(75)
simplify
132000/440
What are the three cues to remember for dribbling with mature form in basketball?
Answers
Answer:
Thee three cues are
1. Control the ball with he finger-pads
2. Always dribble at waist level
3. One's eyes should be up to see the team members and defenders while dribbling
Step-by-step explanation:
To dribble a basketball requires, keeping one's head up to see the on going game around. Endeavor to shield defenders from the ball with the aid of the non dribbling arm and body
When bouncing the ball, keep it low, and extend the arms and snap the wrists, while controlling the ball with your fingers rather than the palm
The three cues are
1. Handle the ball with the finger pads, not with the palm of the hands nor with the fingertips
2. Dribbling should be done only at the waist level
3. When dribbling a ball, one should keep his eyes up to see the game ongoing.
what is 24% of 135??
Answers
Answer:
32.4
135 x 24% = 135 x 0.24 = 32.4
Step-by-step explanation:
Answer:
32.4
Step-by-step explanation:
135 times 24 dived by 100
Question 3- Please help. Find the area of the sector for the image below:
Answers
Answer:
The answer is 16.8 cm^ 2.
I need help plz help me
Answers
Answer: 2538
Step-by-step explanation:
12*21/2
126
126/1*41/2
2538
Answer:
l*b*h=2583m²
Step-by-step explanation:
note no need units, so no need metre square or m²
