Answer:
Step One
Use the vertex to determine the basic equation for the parabola.
y = a(x - 2)^2 + 7 Notice the sign change for x. I have provided a graph to show how this would look with a = 1 (in red.)
What it means is the 2 has to be minus in order that the vertex will shift 2 units in the x direction.
Step Two
Use the point to solve for a.
y = a(x - 2)^2 + 7
When x = - 1
Then y = 3
3 = a(-1 - 2)^2 + 7 combine -1 with - 2
3 = a (-3)^2 + 7
3 = 9a + 7 Subtract 7 from both sides
3 - 7 = 9a
-4 = 9a Divide by 9.
a = -4/9
or
a = - 0.4444
y = -0.4444(x + 2)^2 + 7 <<<<< answer
y = - 4/9 (x + 2)^2 + 7
Note: if you have choices, list them please.
Note: The red graph is y = (x - 2)^2 + 7 ; a = 1
The blue graph is y = - 4/9(x - 2)^2 + 7 ; a = - 0.44444
1 It widens the graph
jcherry99 avatar
It turns the graph upside down. The next one is the tough one.
jcherry99 avatar
It gives the parabola two real roots.
jcherry99 avatar
If you thought of others, so much the better.
Step-by-step explanation:
Answer:
y = - 4x² - 16x - 9
Step-by-step explanation:
the equaion of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
here (h, k ) = (- 2, 7 ) , then
y = a(x + 2)² + 7
to find a substitute (- 1, 3 ) into the equation
3 = a(- 1 + 2)² + 7 ( subtract 7 from both sides )
- 4 = a(1)² = a
then
y = - 4 (x + 2)² + 7 ← in vertex form
= - 4(x² + 4x + 4) + 7
= - 4x² - 16x - 16 + 7
= - 4x² - 16x - 9 ← in standard form
The probability that the sample will accurately represent the target group within the margin of error is called the Group of answer choices confidence level. polling bias. margin of error. random sample.
Answer:
What is the probability of a sample mean?
The Probability of a Sample Mean The Probability of a Sample Mean We saw in the previous section that if we take samples, the distribution of the sample means will be approximately normal. This will hold true even when the underlying population is not normally distributed, provided we take samples of n=30 or greater.p-by-step
please help I don't know the median
Answer:8
Step-by-step explanation:
least to greatest:6,8,8,9,9
crossout the ends:6,9 and 8,9
what is left in the middle:8
Answer:
6
Step-by-step explanation:
Median is the middle of the data set which is 6.
Answer the one you would like!
first pic no 13
sec no 14
third no 15
shjdidifjie
express 0.23 (bar) in the form of p/q
Answer:
[tex]0.\overline{23}= \frac{23}{99}[/tex]
Step-by-step explanation:
Let [tex]x = 0.\overline{23}[/tex]....(1)
Multiply both sides by 100.
[tex]100x = 23.\overline{23}[/tex]....(2)
Subtracting equation (1) from equation (2)
[tex]100x -x= 23.\overline{23}-0.\overline{23}[/tex]
[tex]\implies 99x= 23[/tex]
[tex]\implies x= \frac{23}{99}[/tex]
[tex]\implies\huge{\orange{ 0.\overline{23}= \frac{23}{99}}}[/tex]
solve pls brainliest
= 29/6 ×4
=29/3 ×2
=58/3
=19(1/3)
The table below shows a student's quiz scores on four quizzes.
Answer:
with aritmetical form u do this: 14+14+18+12=58
now 58/4=14.5
average score Is 14.5
Below are the supply and demand equations for umbrellas in a certain market. in these equations, p represents price, d represents demand, and s represents supply. d = startfraction negative 4 over 3 endfraction p 22 s = 3 p minus 36 what is p at the point of equilibrium, to the nearest tenth? a. 19.3 b. 16.5 c. 13.4 d. 12.0
The value of price (p) at a point of equilibrium is 13.4. Then the correct option is C.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The equation of the demand (D) and supply (S) is given below.
[tex]\rm D = -\dfrac{4}{3}p +22\\\\S \ = 3p -36[/tex]
Where p is price.
At equilibrium, we have
D = S
Then
[tex]\begin{aligned} \dfrac{4}{3}p +22 &= 3p -36\\\\3p + \dfrac{4}{3} p &= 36 + 22\\\\\dfrac{13}{3}p &= 58\\\\p &= 13.38 \approx 13.4 \end{aligned}[/tex]
More about the linear system link is given below.
https://brainly.com/question/20379472
Stella is creating a volcano in the shape of a cone for her science project. The height of the volcano is 12 inches and the radius of the base is 5 inches.
What is the slant height?
Answer: V≈314.16
Step-by-step explanation:
V=πr2h
3=π·52·12
3≈314.15927
PLS HELPPP IT'S ABOUT LOCUS
Answer:
Here,
First Find distance between them by using formula √+x2-x1)2+(y2-y1)2
Then use the equation and then find locus.
i do not know this answer, i need help
Answer:
18 kilometers
Step-by-step explanation:
if you know the perimeter, then all you have to do is add up what you have, 10+7=17 and then subtract it giving you the bits that you dont know, so 35-17=18 kilometers.
Answer:
s = 9 Km
Step-by-step explanation:
the perimeter is the sum of the 4 sides
given perimeter = 35 , then
10 + 7 + s + s = 35
17 + 2s = 35 ( subtract 17 from both sides )
2s = 18 ( divide both sides by 2 )
s = 9 Km
Write the equation of the given line in slope-intercept form:
Answer:
Step-by-step explanation:
so u add it like its a shape and put a x and there :)The function y = x^4 - 16x^2 has zeros at x = -4, x = 0, and x = _ and a y-Intercept at (0, _)
Answer:x=4 (0,0)
Step-by-step explanation:
Determine the zeros of function,factor the functions. Set the factored function equal to 0 and solve. Then find the y-y-intercept of the given function by setting x equal to 00and Solving for y.
A. >
B. <
C. =
D. none of the above
Answer:
i think the answer is >
Step-by-step explanation:
Hoped this helped
pls tell me if im wrong
Answer:
b
Step-by-step explanation:
You have to turn the scientific notation into standard form and compare the 2 and it comes into 8200 and 460000 and 8200 is less than 460000.
A movie theater charges $10.50 per ticket and $5per bucket of popcorn. You never buy the popcorn because you think it's too expensive.
Is the total price you pay proportional to the number of tickets you buy?
Choose 1 answer:
(Choice A)
A
Yes
(Choice B)
B
No
Yes they are proportional
Answer:
A- yes
Step-by-step explanation:
If you never buy the popcorn because you think that it is too expensive then the only thing you are paying for is the tickets therefore the price you pay is proportional to the number of tickets you buy.
What is the slope of the line in this graph? please help urgent
Answer:
(b) 5/7
Step-by-step explanation:
When determining slope from a graph, it is convenient to locate points on the graph where it crosses grid lines. This graph crosses the origin, and the point (7, 5). The slope is found by counting grid squares or by the slope formula ...
m = (y2 -y1)/(x2 -x1)
m = (5 -0) /(7 -0) = 5/7 . . . . . . . . . using points (0, 0) and (7, 5)
The slope of the line is 5/7.
what are the perimeter and area of a triangle with a length of 20 in. and a width of 15 in?
Answer:
Area- 150 Perimeter- 60
Hope This Helps! :) Please Give Brainliest if this helped you!
The distance from earth to the moon is about 3.84 times 10^6 meters. what is one fourth of this distance
If the distance from the earth to the moon is about 3.84 x 10⁶.One-fourth of this distance will be 960,000
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, the distance from the earth to the moon is about 3.84 x 10⁶.
One-fourth of this distance is found by dividing the total distance by 4.
We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.
Suppose the one-fourth of this distance will be x,
(1/4)× 3.84 x 10⁶ =x
x=(3.84 x 10⁶)/4
x=960,000
Thus, if the distance from the earth to the moon is about 3.84 x 10⁶. One-fourth of this distance will be 960,000
Learn more about the arithmetic operation here:
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A tank that holds 120 gallons is leaking at a rate of
gallon per hour. Wri
an expression that represents the amount of gallons left in the tank after h
number of hours.
Answer:h=120 - (120•1/4)
Step-by-step explanation:
Part A
Which angles are congruent to ∠5 ? Select all that apply.
∠1
∠2
∠3
∠4
∠6
∠7
Part B
I m∠6 = 85° what is the measure of ∠3?
m∠3 =
°
Show all the work and answer quick!
Answer:
a) 3x
b) 3x
c) 2 2/3 times greater
Step-by-step explanation:
The length of the rectangle:
The width of the rectangle is x. If you add the two widths together when finding perimeter, x + x, that would give you 2x.
Sum of widths: x + x = 2x
Use the sum of the widths to find the sum of the lengths by subtracting from the perimeter.
sum of lengths = perimeter - sum of widths
8x - 2x = 6x
Since there are 2 lengths divide by 2.
6x/2 = 3x
The length of the rectangle is 3x
Perimeter of the square:
The sides of the square are 1/4 of the length of the rectangle. "of" means to mulitply: (I made 3x a fraction by placing it over 1)
[tex]\frac{1}{4} (\frac{3x}{1} )[/tex] = [tex]\frac{3}{4} x[/tex]
Now find the perimeter of the square by multiplying the side length by 4.
[tex]\frac{3}{4}x(\frac{4}{1} )[/tex] = [tex]3x[/tex]
Last part:
solve the rectangle's perimeter by substituting x with 4.
P = 8x
P = 8(4)
P = 32 cm
Solve the square's perimeter by substituting x with 4.
P = 3x
P = 3(4)
P = 12 cm
Divide the rectangle's perimeter by the square's perimeter.
32/12 = 2 2/3 times bigger.
angle properties pls help
Answer: Which question I’ll do a
Step-by-step explanation:
Since it is turned into an 100 degree angle you do length times width and you will get your answer 90 degrees
Was this helpful
pls help me to answer this
Answers:
T-shirt = $25
Shorts = $15
Books = $50
Shoes = $30
Cell phones = $750
===============================================
Explanation:
Taking 10% of a number is simply moving the decimal point over one spot to the left.
For example, the selling price of a t-shirt is $250.00 and taking 10% of this gets us to $25.00
As another example, 10% of 150.0 is 15.0
If a whole number ends with a 0, then taking 10% of the number means we chop that zero off.
Solve for x and round to the nearest tenth for both (please:) )
Answer:
see explanation
Step-by-step explanation:
using the sine ratio in the right triangle.
sin23° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{7}[/tex] ( multiply both sides by 7 )
7 × sin23° = x , then
x ≈ 2.7 ( to the nearest tenth )
----------------------------------------------------
using the tangent ratio in the right triangle
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{27}{17}[/tex] , then
x = [tex]tan^{-1}[/tex] ( [tex]\frac{27}{17}[/tex] ) ≈ 57.8° ( to the nearest tenth )
The lengths of a particular snake are approximately normally distributed with a given mean mu = 15 in. and standard deviation sigma = 0.8 in. what percentage of the snakes are longer than 16.6 in.?
The percentage of the snakes is longer than 16.6 in. with a mean of 15 in. and a standard deviation of 0.8 in. is 2.275%.
What is a normal distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The lengths of a particular snake are approximately normally distributed with a given mean = 15 in. and standard deviation = 0.8 in.
Then the percentage of the snakes is longer than 16.6 in. will be
[tex]z = \dfrac{ x - \mu }{ \sigma }\\\\z = \dfrac{16.6-15}{0.8}\\\\z = 2[/tex]
Then we have
[tex]\rm P(x > 16.6) = P(z > 2) = 0.02275 \ or \ 2.275 \%[/tex]
More about the normal distribution link is given below.
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Answer:
D, 5%
Step-by-step explanation:
edge
Joe is 1.6 m tall. His shadow is 2 m long when he stands 3 m
from the base of a floodlight. What is the height of the floodlight?
Answer:
Step-by-step explanation:
Which loan has the lowest total repayment?
==========================================================
Explanation:
Refer back to this related question
https://brainly.com/question/27362373
In that link I detail how to find that
Loan A has a monthly payment of $348.50Loan B has a monthly payment of $518.02Loan A has a duration of 5 years, aka 5*12 = 60 months. Over those 60 months, you'll pay back a total of 60*348.50 = 20,910 dollars for loan A.
Loan B has a shorter duration of 3 years = 3*12 = 36 months. Therefore, you'll pay back 36*518.02 = 18,648.72 dollars in total for loan B.
---------------
Summary total repayment
Loan A = 20,910 dollarsLoan B = 18,648.72 dollarsWe have loan B as the winner in terms of the lowest total repayment. The longer a loan is, the higher chances are that you'll pay back more in interest (thereby making the total repayment larger).
Answer :
Loan BExplanation :
Loan A's monthly payment → $348.50Loan B's monthly payment → $518.02Cost of Loan A repayment
Duration = 5 years = 5 x 12 = 60 monthsCost = 60 x 348.50 = $20,910Cost of Loan B repayment
Loan B has a shorter duration of 3 years = 3*12 = 36 months. Therefore, you'll pay back 36*518.02 = 18,648.72 dollars in total for loan B.
Duration = 3 years = 3 x 12 = 36 monthsCost = 36 x 518.02 = $18,648.72Clearly, Loan B has the lowest total repayment.
This table shows outcomes of a spinner with 3 equal sections colored blue, yellow, and red. Section Outcomes Blue 22 Yellow 32 Red 46 Based on the outcomes, enter the estimated probability of the spinner landing on blue.
Based on the outcomes, the estimated probability of the spinner landing on blue which has equal sections colored blue, yellow, and red is 0.22 or 22%.
What do you mean by probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
This table shows outcomes of a spinner with 3 equal sections colored blue, yellow, and red.
Section Outcomes Blue 22 Yellow 32 Red 46 Total 100The total number of outcome is 100. The total number of favorable outcome to land blue is 22.
Thus, the estimated probability of the spinner landing on blue has to be found out is,
[tex]P=\dfrac{22}{100}\\P=0.22\\P=22\%[/tex]
Hence, based on the outcomes, the estimated probability of the spinner landing on blue which has equal sections colored blue, yellow, and red is 0.22 or 22%.
Learn more about the probability here;
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Elif Is making yogurt parfaits for her daughter Sila. She has 3 pounds of Greek yogurt to make 12 parfaits. If her recipe calls for 4 ounces of Greek yogurt, will she have enough?
Answer:
for because the 3+1 =4
Step-by-step explanation:
thank you
find the equation of a line passing through (3,2) and (5,6)
Answer:
y=1/-2x+2.5
Step-by-step explanation:
Y=Mx+c
Mx(slope)=y2-y1/x2-x1= 6-2/-5-3 =4/-8= 1/-2
C(y-intercept)= replace one of of the points here to find C
2=1/-2(3)+c, c= 2.5
Final answer > y=1/-2x+2.5
Triple u then divide 3 by the result?
Answer:
[tex]beinggreat78~is~here~to~help![/tex]
The equation should look something like this.
[tex]\frac{u(3)}{3}[/tex]
Be careful with your use between cubing and multiplying; Cubing is multiplying the number by itself multiple times, while multiplying is like repeated adding, yet much easier.
In this case, if it says triple, I highly recommend multiplying by 3, which is what I did, it only looks different because it is in parentheses.
What have we learned?
We learned how to write algebraic equations, and some further information on multiplying.