Answer:
y = -1/2(x + 4)² + 2 or y = -1/2x²- 4x - 6Step-by-step explanation:
Given
Vertex = (-4, 2)The graph passes through the point (-8, -6)The function in vertex form is:
y = a(x + 4)² + 2Substitute the coordinates of (-8, -6) and find the value of a:
-6 = a(-8 + 4)² + 2-8 = 16aa = -1/2The function is:
y = -1/2(x + 4)² + 2or in standard form:
y = -1/2(x² + 8x + 16) + 2 = -1/2x²- 4x - 690 centimeters tall when 2 years old 100 centimeters tall when 5 do the number of centimeters and the number of years have a proportional relationship?
Answer:
10
Step-by-step explanation:
reduce the answer to the lowest terms
13/2 . 4
Answer:
5 5/12
Step-by-step explanation:
How to solve the equation: -2(-3x-4)=14
Answer:
1
Step-by-step explanation:
-2(-3x-4)=14
6x + 8 = 14
6x= 14-8
6x=6
x=1
The Capulet's are building a horse stall for their horse, Shaggy. The length, y, of the stall must be more than twice the width, x. However, they only have enough material to build 50 feet of fencing. Write the system of equations or inequalities used to solve it. Identify one option that would meet the criteria.
Answer:
y = 18
x = 7
Step-by-step explanation:
Since the Capulet's only have a total of 50 feet of fencing then that will also be the maximum perimeter of the fence and cannot exceed that value. Therefore, using the information provided we can conclude the following
y > 2x
y + y + x + x <= 50ft
2x + 2x + x + x <= 50ft
Now that we have these equations we can first solve for x and then solve for y
2x + 2x + x + x <= 50ft
6x <= 50ft ... divide by 6
x <= 8.33
y > 2 * 8.33
y > 16.66
Therefore, one possible value would be
helps fast plzzzzzzzzz
Answer:
I believe it would be the third option; 5k = 90
Please let me know if I'm incorrect.
Answer:
5k - 90, is the answer
Choose either multiplied by or divided by to make each calculation correct.
14..............0.2 = 70
16..............1.25 = 20
20.............0.5 = 10
36..............0.75 = 48
Answer:
Step-by-step explanation:
Here are the answers
Please help .......................
Answer: slide the triangle to the right 3 times and down 1
Step-by-step explanation:
Question 2 of 10
Use the matrix tool to solve the system of equations. Choose the correct
ordered pair.
4x + 5y = 2
5x - 3y = 21
Answer:
(3 , -2)
Step-by-step explanation:
4 5 2 5 -3 21 1 -8 19 -> * -4
5 -3 21 -> switch 4 5 2 -> * -1 -> 4 5 2 ->
1 -8 19 -> 1 0 3 1 0 3
0 37 -74 -> *8/37 0 37 -74 -> * 1/37 -> 0 1 -2
Find side x, giving your answer to 1 decimal place.
810
7 cm
40°
Х
Answer:
10.8
Step-by-step explanation:
By sine rule:
[tex] \frac{x}{ \sin 81 \degree} = \frac{7}{ \sin 40 \degree} \\ \\ x = \frac{7 \sin 81 \degree}{ \sin 40 \degree} \\ \\ x = \frac{7 \times0.9876883406 }{0.6427876097} \\ \\ x = \frac{6.91381838}{0.6427876097} \\ \\ x = 10.755992 \\ \\ x \approx 10.8[/tex]
Using the tangent formula we can write as,
Tan 40° = 7 / x
Tan 40 = 0.84
The value of x is 8.3 cm
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
A triangle with angle 40° angle 81° and 7 cm on on side of the triangle.
Using the tangent formula we can write as,
Tan 40° = 7 / x _____(1)
Now,
Tan 40 = 0.84
From (1) we get,
0.84 = 7 / x
x = 7 / 0.84
x = 8.3 cm
Thus,
The value of x is 8.3 cm
Learn more about trigonometric identities here:
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Vlad has 4 times as many blue marbles as green marbles. Which could be the number of blue marbles Vlad has?
Answer: A:16 marbles
Step-by-step explanation:
Because the number of blue marbles has to be four times as many as the number of green marbles, the blue marbles have to be a multiple of 4 because the number of marbles has to be a whole number.
Look at the options to see any option that is a multiple of 4.
That option is 16 so option A is correct.
Blue marbles being 16 means that green marbles are 4.
Calculate the mean of 79,58,72,61,80
Answer:
Mean = 70
Step-by-step explanation:
plz help I don't have a lot of time left
Answer:
the 2nd colonie of bacteria grows faster
Step-by-step explanation:
Answer:
a. Bacteria B grows at a faster rate because it has a higher number than Bacteria A. By solving the problem of both Bacteria A and Bacteria B, you would see why Bacteria B grows at a faster rate.
b. Bacteria B grows faster by 35000
Step-by-step explanation:
please help asap!!!!
Answer:
391.5
Step-by-step explanation:
Find the area of all the sides.
Triangles area: 9 X 10=90 because there are 2 so you don't need to divide by 2
Rectangles area: (9X10)X2= 180 because there is 2
Another rectangle area 13.5 X 9= 121.5
Add all: 90+180+121.5
Answer 391.5
Nadia has a bag of different colored balloons. Without
looking in the bag, she selects a balloon, records its color
and puts it back in the bag. All balloons are equally likely to
De chosen. She performs 50 trials.
Number of times a blue balloon was chosen 22
Number of times a yellow balloon was chosen 7
Number of times a orange balloon was chosen 8
Number of times a purple balloon was chosen
13
Based on the data Nadia collected, what is the estimated probability, in
simplest form of choosing an orange balloon from the bag?
A.4/25. B. 4/50. C.8/100. D.50/8
Answer: A.4/25
Step-by-step explanation:
Number of trials that were performed = 50
Number of times a blue balloon was chosen = 22
Number of times a yellow balloon was chosen = 7
Number of times an orange balloon was chosen = 8
Number of times a purple balloon was chosen = 13
The estimated probability of choosing an orange balloon from the bag will be the number of times that an orange balloon was chosen divided by the total number of trials. This will be:
= 8/50
= 4/25
Answer:
Its 4/25 so its A.
Step-by-step explanation:
The sale price of an item is $180 after a 25% discount is applied. What is the original price of the item?
original price is $240
Answer:
$240
Step-by-step explanation:
.75*x=180
This equation is setup so we can find the value of the original price, since 25% is deducted, you can multiply x by 75% and set it equal to 180 since that is the resulting discounted price.
Matt has 3 different colored T-shirts and 2 different colored shorts
How many outfits can Matt make with these clothes?
Answer:
Step-by-step explanation:
3 x 2 = 6
Matt can make 6 different outfits with these clothes.
What are the Combinations?Combinations are the procedures used in mathematics to pick k things from n different items without replacement.
The following formula computes the combinations of k items from n:
(n, k) = n! / k!×(n-k)!
Given that Matt has 3 different colored T-shirts and 2 different colored shorts.
Matt can make 3 x 2 = 6 different outfits with these clothes.
This is because for each T-shirt color, he has 2 options for shorts, and he has 3 different T-shirt colors.
So for each T-shirt color, the number of outfit combinations is 2. And since he has 3 T-shirt colors, the total number of outfits is 3 x 2 = 6.
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Shailes class had 2 students out of 5 students choose Fortnite as their favorite video game. What was the
part percent
percentage of students who like Fortnite?
whole 100
O 2%
O 10%
40%
O 100%
Answer:
40%
Step-by-step explanation: 2 divided by 5 is 0.4 so that is 40%
Answer:
40%
Step-by-step explanation:
those two people who like fortnite are the 1 percent of bacteria lysol doesn't kill. fortnite is lame and bad
can you please help me on both of these.
Answer:
1) 9 units
2) 15
Step-by-step explanation:
Since they both have the same x coordinate, just find how much is between the y coordinates. In the first problem, 6 is 9 units away from -3, and in the second one, 7 is 15 units away from 8
The selling price of a skateboard is 147 $. The store has 75% markup policy. What uis the selling price of the skateboard
Answer:
Selling Price = $147
Mark Up = 75%
------------------
The selling price of the skateboard is $84.
Your grandparents started a savings account with $10,000 the day you were born. It earns 5% annually compounded monthly. How much will you have when you turn 18?
Answer: You will have $24,551.84 when you turn 18.
Step-by-step explanation:
Formula for accumulated amount earned in t years:
[tex]A=P(1+\dfrac{r}{12})^{12t}[/tex], where P = principal value, r = rate of interest
Given: P= $10000, r = 5% t = 18 years.
Substitute all values in formula, we get
[tex]A=10000(1+\dfrac{0.05}{12})^{12\times18}\\\\=10000(1.004167)^{216}\\\\=10000(2.45518445623)\approx24551.84[/tex]
Hence, you will have $24,551.84 when you turn 18.
Solve for Angles X&Y.
Answer:
y = 102°
x = 78°
Step-by-step explanation:
y = 900-(115+105+128+142+148+160)
y= 900-798
y= 102
x= 180-y
x= 180-102
x= 78
30/40 devided by 10
Answer:
3/16
plz give brainliest
Step-by-step explanation:
So here we are dividing a fraction by a whole number if that's what you mean by "30/40"
If I did this correctly by converting the mixed number (whole number) to fractions and using the fraction formula for division you will end up with.
3/40
-- Now looking this over I'm unsure which of us is correct but double check the answers yourself :)
What is the average rate of change over the interval 1
given f(x)=50+30x, find f(1), f(2), and f(3)
Please help
The numbers inside the parentheses are the x values. Replace x with each number and solve.
F(1) = 50 + 30(1)= 50+ 30 = 80
F(2) = 50 + 30(2)= 50 + 60 = 110
F(3) =!50 + 30(3)= 50 + 90 =140
The value of the function f(x) = 50 + 30x at x = 1, 2, and 3 will be 80, 110, and 140.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The function is given below.
f(x) = 50 + 30x
The value of the function at x = 1, will be
f(1) = 50 + 30 × 1
f(1) = 50 + 30
f(1) = 80
The value of the function at x = 2, will be
f(2) = 50 + 30 × 2
f(2) = 50 + 60
f(2) = 110
The value of the function at x = 3, will be
f(3) = 50 + 30 × 3
f(3) = 50 + 90
f(3) = 140
Thus, the value of the function f(x) = 50 + 30x at x = 1, 2, and 3 will be 80, 110, and 140.
More about the function link is given below.
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A chess club plans to sell water bottles to raise $425
they already have $175
if they sell water bottles for $8 each, at least how many bottles do they need to sell in order raise enough money
which inequality represents the situation
Answer:
31
Step-by-step explanation:
I rounded it down thats it
The equality for this equation is
175 + 8b >/= 425
B = number of bottles required to sell. Now, I don't want to give you the answer but I can assist you in easily finding it. Subtract 175 from both sides
8b >/= 250
Now, divide at from both sides and remove the greater than mark which should mean that in the end it should look like it says
**edited** I mean divide 8 from both sides.
b = ?
That is the number of bottles they must sell, if it is a decimal, round it up because there is no such thing as a decimal number for selling water bottles.
1 of 6
E
© Petrol is poured into a barrel.
The graph shows the number of litres of petrol in the barrel.
Calculate how much petrol is being poured into the barrel each minute.
100 Amount of petrol (litres)
Answer:
22 Litres
Step-by-step explanation:
Hope it helps. NOT
Part A) The Rosegold Cinema is conducting a mathematical study. In its theater, there are 225 seats. Adult tickets cost $10.50 and child tickets cost $6.25. The cinema's goal is to sell at least $1250 worth of tickets for the theater. Write a system of linear inequalities that can be used to find the possible combinations of adult tickets, x, and child tickets, y, that would satisfy the cinema's goal.
Part B) Marta claims that selling 100 adult tickets and 60 child tickets will result in meeting the cinema's goal. Explain whether she is correct or incorrect, based on the graph drawn.
If Angela made $75, how many hours did she tutor?
Answer:
2hours
Step-by-step explanation:
Answer:
2.14285714286 or simplifyed 2.14
Step-by-step explanation:
75 divided by 35= 2.14285714286
The Children's play area at the Community pool holds a total of 3185 gallons of water it takes 2.5 hours to fill the pool with 1625 gallons of water how many gallons of water does the pool have after 1 hour find the unit rate
Answer:
650 gallons after 1 hour
Unit rate:650gallons/hour
Step-by-step explanation:
We are given that
Total capacity of pool=3185 gallon
In 2.5 hours water pool fill=1625 gallon
We have to find how many gallons of water fill in the pool after 1 hour and unit rate.
Using unitary method
1625 gallons of water takes time to fill the pool=2.5 hours
1 gallon of water takes time to fill pool=[tex]\frac{2.5}{1625}[/tex]hours
3185 gallon of water takes time to fill the pool=[tex]\frac{2.5}{1625}\times 3185[/tex] hours
3185 gallon of water takes time to fill the pool=4.9 hours
1 hours , water fill in pool =[tex]\frac{1625}{2.5}[/tex]gallons
1 hours , water fill in pool=650 gallons
Unit rate: How many volumes of water fill in 1 hour.
Unit rate=[tex]\frac{1625}{2.5}=650gallons/hour[/tex]
Can someone pls help me with this?
Answer: It would be A because the base cost is three dollars with extra 150 per order
Step-by-step explanation: