Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = –8x + x2 + 7 ?
left 4, down 9
left 4, up 23
right 4, down 9<<<<<<< CORRECT
right 4, up 23
The translation should be right 4 units and down 9 units.
Which translation should we use?
First, we need to find the vertices of both functions.
for f(x) = x^2 the vertex is at (0, 0), as we already know.
For g(x) = -8x + x^2 + 7 the x-value of the vertex is at:
x = -(-8)/(2*1) = 4
Evaluating g(x) at x = 4 we get:
g(4) = -8*4 + 4*4 + 7 = -9
So the vertex is at (4, -9).
To go from (0, 0) to (4, -9) we need to move right 4 units and down 9 units, so the correct option is the third one.
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106 lb decreased by 5% is
What are the values of m and n in each right triangle
2^x=1/128 solve the equation
Answer:
x = − 7
Step-by-step explanation:
y = 4.5*x^2-9*x+8.5;4.5;-9;8.5
-(((-9)^2-(4*4.5*8.5))/(4*4.5))
-(-9/(2*4.5))
4.5*0^2-(0*9)+8.5
(7*x^5-(5*x^7))^(1/2)+1/((7*x^5-(5*x^7))^(1/2))
There are 12 negative charges and 8 positive charges. Which integer represents the total value of the charges?
Answer:
-4
Step-by-step explanation:
-12 + 8
-4
Help me with this please 100 points if its done right
Answer:
[tex]P=24\sqrt{x}[/tex] and [tex]A=36x[/tex]
Step-by-step explanation:
To find the perimeter of the triangle, you have to add all the sides of the triangle. So, we get:
[tex]P=8\sqrt{x} +7\sqrt{x} +9\sqrt{x}[/tex]
Combine like terms, meaning the numbers with [tex]\sqrt{x}[/tex]
[tex]P=24\sqrt{x}[/tex]
To find the area of the triangle, we will use the formula [tex]A=\frac{1}{2} bh[/tex], where b is the base and h is the height
The base is: [tex]9\sqrt{x}[/tex]
The height is: [tex]8\sqrt{x}[/tex]
Plug and chug:
[tex]A=\frac{1}{2} *9\sqrt{x} *8\sqrt{x}[/tex]
[tex]A=\frac{1}{2} *72x\\A=36x[/tex]
round off 9.999 to the nearest 10
Answer:
the answer is 10 you round up a nine it keeps going to the end
A cereal box says that it now contains 25% more cereal. If it originally had 12 ounces of cereal, how much does it have now?
Answer:
15
Step-by-step explanation:
Answer:
21 ounces.Step-by-step explanation:
This is percentage increase.In order to find that, we simply do:
(100+25)% = 125%
100% = 12 ounces
125% = ?
12*125/100 = 9 ounces
Add it up to the original amount:
12+9 = 21 ounces
help help help help
thanks
Answer:
3, each number is being multiplied by a factor of 3
PLZ HELP! Sorry about the terrible picture but I had to take it quick cuz I need an answer fast.
Answer:
it will 90° because it is making right angle at C
Answer:
40 digree is the answer
brooo I think it will help u
2y = x - 12, solve for X
Writing and Evaluating an Algebraic Expression Try it five more than the product of two and a number, decreased by seven; evaluate when a = 8
Answer:
7
Step-by-step explanation:
dont trust me i dont know the answer sry
Answer:
ya
Step-by-step explanation:
(6x + 6) + (-3 - 4x)
Answer:
2x+3
Step-by-step explanation:
[tex](6x+6)+(-3-4x)=2x+3[/tex]
Evaluate : xº + 3-1 - 32
Answer:
-29
Step-by-step explanation:
1+3-1-32
4-1-32
3-32
-29
anything raised to the power of 0 is on
please mark brainiest thank you
Select the correct answer. A farmers' group conducted an experiment to determine which fertilizer is better for plant growth. One fertilizer contains a urea supplement, while the other does not contain the urea supplement. For the experiment, they randomly selected 20 plants of the same species growing in their area. The farmers tested the urea-enhanced fertilizer on 10 plants and the non-urea fertilizer on the other 10 plants. After three months, they reported their findings as shown.
Answer:
Step-by-step explanation:
at the bottom it has a key and the key shows blue that had the urea supplement and green with out. the graph has a higher amount of growth for the plants with the urea supplement and green with about half the growth.
so you could say something like this: over the course of three months the plants with the urea supplement had almost double the amount of growth the plants without the urea supplement did, over all the the urea increased the amount of growth the plants had over the 3 month time span. :)
The conclusion from the farmer's data can be made is the fertilizer with urea supplement is more effective than the fertilizer without it.
What is histogram?A histogram is the way of representation of data which is used to show the frequency distribution using the rectangle similar to bar graph.
Farmers' group conducted an experiment to determine which fertilizer is better for plant growth. One fertilizer contains a urea supplement, while the other does not contain the urea supplement.
For the experiment, they randomly selected 20 plants of the same species growing in their area. The farmers tested the urea-enhanced fertilizer on 10 plants and the non-urea fertilizer on the other 10 plants.
After three months, they reported their findings as shown. Let's understand what happen in each month,
In first month, 4 number of plants with above average growth with urea supplement, while only 2 plant shown this growth when urea is not supplied.In second month, 7 number of plants with above average growth with urea supplement, while only 4 plant shown this growth when urea is not supplied.In third month, 5 number of plants with above average growth with urea supplement, while only 3 plant shown this growth when urea is not supplied.Thus, the conclusion from the farmer's data can be made is the fertilizer with urea supplement is more effective than the fertilizer without it.
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Rahul is an engineer and designed an electric car which is moving at an average speed of 56 km per hour. One day, he is travelling and testing his car. If he travelled 7 hours on that day, how much distance does he travelled?
Answer: He travelled 392 km that day.
Step-by-step explanation:
We are given that,
Speed of electric car = 56 km per hour.
Time = 7 hours
We know that,
Distance = Speed x Time
If he travelled 7 hours on that day, then Distance traveled in 7 hours on that day= (56 km per hour) x (7 hours)
i.e. Distance traveled in 7 hours on that day== 392 km
Hence, he travelled 392 km that day.
A computer has the shape of a rectangular solid. Find the volume of the computer, with dimensions by 2 inches by 2 inches by 2.7 inches
What is the volume of the computer?
Answer:
10.8 in³
Step-by-step explanation:
2x2x2.7=10.8
Someone please help me I’ll give out brainliest please dont answer if you don’t
Find all the zeros of the equation.
-x^3-x^2=11x+11
Answer:
x= -1 , i(sqrt11) , -i(sqrt11)
Step-by-step explanation:
subtract 11x from both sides
-x^3 - x^2 - 11x = 11
subtract 11 from both sides
-x^3 - x^2 - 11x - 11 = 0
Factor the left side of the equation
- (x - 1)(x^2 + 11) = 0
Set both factors to zero and solve for x
x + 1 = 0 x^2 + 11 = 0
-1 -11
x^2 = -11
x = -1 x = +/- i(sqrt11)
Find the value of m. Quarts 0 1 2 e G 0 Gallons =0
if 2 quarts=1/2 galleon on the graph.
Then half of 2 quarts will be half of 1/2 galleons.
Therefore 1 quart=1/4 galleons.
Hope it helps!
8 grade solution plobem, first explantion gets brainest
Answer:
x=8
y=1/6x+4/6
y= 2
Step-by-step explanation:
What is 4 copies of 1/5
Answer:
1/5 + 1/5 + 1/5 + 1/5 = 4/5
Step-by-step explanation:
The 4 copies of the fraction 1/5 will be 4/5.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
As per the given,
4 copies of 1/5
The first copy of /5 = 1/5
Second one = 1/5
Third = 1/5
And fourth = 1/5
Collective all copies are 1/5 + 1/5 + 1/5 + 1/5
Take LCM as 5,
(1 + 1 + 1 + 1)/5 = 4/5
Hence "The 4 copies of the fraction 1/5 will be 4/5".
To learn more about the arithmetic operators,
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What is the area of this parallelogram
Answer:
B. 12.25
Step-by-step explanation:
A=bxh=3.5·3.5=12.25
Answer:
17.15
Step-by-step explanation:
There are 2 ways to solve this.
One way is this:
Add 1.4 and 3.5 together to get the total length of the parallelogram. The sum would be 4.9. Then multiply this number by the height of the figure(3.5cm). So that the product of 4.9 and 3.5 is 17.15.
The second way is this:
Find the area of the two triangles and the square and then add those products together. So add:
1.4 x 3.5 ÷21.4 x 3.5 ÷23.5 x 3.5So solve this equation and you will get:
2.45 + 2.45 + 12.25=17.15What is the area of the parallelogram?
Step-by-step explanation:
to find the area of a parallelogram multiply the base by the height. multiply so 8x4= 32. but thats not it, ill come back when i get it or ask a tutor
Answer:
A=bh
Step-by-step explanation:
Joanna is selling tickets for the school play $he ha$ already $old $35
worth of tickets. $he ha$ seven ticket$ left to sell for $5 per ticket. write
function to describe the total amount of money collected if she sells every single ticket
Answer:
okay, so given we have that she has already sold $35 worth of tickets. We know that she has seven tickets left to sell, and each is worth $5. So, we would do 7×$5=$35
Next, we would add $35(from the previous money she has made) and $35 (the money she just made from the 7 tickets) and that would equal $70
equation: y=35+7(5)
Step-by-step explanation:
I hope this helps! ^^
☁️☁️☁️☁️☁️☁️☁️☁️☁️
I'm very confused please help me ASAP
Answer:
The degree of the equation is 5.
Step-by-step explanation:
At first we have a 4 polinomyal expressions. Something happens here that in the third step we only have 2 polynomial expressions.
What is occuring? In this case, we just grab two polynomial and try to reduce the expression to a simple expression (And larger) so, we take the first two polynomial expressions:
(2x + 3) * (x² - 1)
In this case, the first term will multiply the first and second term of the second polynomial expression, and after that, the second term of the first polynomial do the same thing with the other two terms:
(2x * x²) + (2x * -1) + (3 * x²) + (3 * -1)
= 2x³ - 2x + 3x² - 3
Now, we apply the same thing with the other two expressions:
(x + 1) * (x - 2)
= (x * x) + (x * -2) + (1 * x) + (1 * -2)
= x² - 2x + x -2
= x² - x - 2
For the last step, we do the same thing, only that in this case is larger cause we have a bigger expression, but the principle is the same. To get a better understanding I will put every operation by line so you won't get confused:
(2x³ - 2x + 3x² - 3) * (x² - x - 2)
= (2x³ * x²) + (2x³ * -x) + (2x³ * -2)
+ (-2x * x²) + (-2x * -x) + (-2x * -2)
+ (3x² * x²) + (3x² * -x) + (3x² * -2)
+ (-3 * x²) + (-3 * -x) + (-3 * -2)
= (2x⁵ - 2x⁴ - 4x³)
+ (-2x³ + 2x² + 4x)
+ (-3x⁴ - 3x³ - 6x²)
+ (-3x² + 3x + 6)
Simplifying:
= 2x⁵ - 5x⁴ - 9x³ - 7x² + 7x + 6The term with the highest exponent will determine the degree of the equation. So the equation is 5th degree.
Hope this helps
A biologist wants to compare the proportions of rainbow trout infected with whirling disease (an illness of
trout and salmon caused by a microscopic parasite) coming from two separate watersheds. For each
watershed, the biologist will collect a random sample of trout and record the proportion infected in the
sample. The biologist intends to estimate the difference for all trout in the two watersheds. Assuming all
conditions for inference are met, which of the following is the most appropriate method for the biologist to
use to analyze the results?
A
A one-sample z-interval for a population proportion
B
A one-sample z-interval for a sample proportion
с
A one-sample z-interval for a difference in sample proportions
D
A two-sample z-interval for a difference in population proportions
E
A two-sample z-interval for a difference in sample proportions
Answer:
D
Step-by-step explanation:
Because, the biologist wants to find the difference between the population of trouts from two watershed,
A biologist wants to compare the proportions of rainbow trout infected with whirling disease (an illness of trout and salmon caused by a microscopic parasite) coming from two separate watersheds.
The biologist will collect a random sample of trout and record the proportion infected in the sample The biologist intends to estimate the difference for all trout in the two watersheds
According to the given question, the most appropriate method for the biologist will be -A two-sample z-interval for a difference in population proportions
Because,Biologist wants to compare the proportions of rainbow trout infected with whirling disease and find the difference between the population of the trouts from two watershed .
Therefore , Statement D is the Correct
Learn more about Similar questions here : https://brainly.com/question/1904003
write the place value of the 5 in each number. a) 1 325
Answer:
Place Value of 5 in 1325 is 'Thousands'
find a angle which is 2/3 of its complement
Answer:
36°
Step-by-step explanation:
let x be the required angle then
x = [tex]\frac{2}{3}[/tex] ( 90 - x) [ complementary angles sum to 90° ]
x = 60 - [tex]\frac{2}{3}[/tex] x ( add [tex]\frac{2}{3}[/tex] x to both sides )
[tex]\frac{5}{3}[/tex] x = 60 ( multiply both sides by [tex]\frac{3}{5}[/tex] )
x = 36°
note 36° is [tex]\frac{2}{3}[/tex] of 54°
negative 5x plus 4y equals 3 i need x and y please
Answer:
x = 9
y = 12
Step-by-step explanation:
-5x + 4y = 3
x = 2y - 15
Manipulate the equations such that the coefficients of two variables are additive inverses
-5x + 4y = 3
x = 2y - 15
Inverse operations
-> 4y - 3 = 5x
-> 2y - 15 = x (*(-5))
->4y - 3 = 5x
-> -10y + 75 = -5x
Now add the equations to eliminate a variable,
4y - 3 = 5x
-10y + 75 = -5x
-6y + 72 = 0
Inverse operations
-6y + 72 = 0
72 = 6y
/6 /6
12 = y
Back solve to find (x)
2y - 15 = x
2(12) - 15 = x
24 - 15 = x
9 = x
a flower garden is in the shape of a right triangle. The longest side of the triangle measures 13 meters. One of the shorter sides is 7 meters longer than the other. Determine the length of the shortest side
Answer:
5
Step-by-step explanation: