Answer:
y = 3 (x+8)^2 -7
Step-by-step explanation:
The vertex form of the equation is
y = a(x-h)^2 +k
where (h,k) is the vertex
y = a (x- -8)^2 + -7
y = a (x+8)^2 -7
Now substitute the point into the equation to determine a
-4 = a (-7+8)^2 -7
-4 = a (1^2) -7
-4 = a -7
Add 7 to each side
-4+7 = a-7+7
3 =a
y = 3 (x+8)^2 -7
Answer:
y = 3(x + 8)² - 7
Step-by-step explanation:
y = a(x - -8)² - 7
y = a(x + 8)² - 7
-4 = a(-7 + 8)² - 7
3 = a
y = 3(x + 8)² - 7
Which relation is not a function?
Answer:
First one
Step-by-step explanation:
Answer:
A. {(9,3),(5,16),(6,8),(9,10),(11,13),(1,7)}
Explanation:
The first option is not a function because a single x-value cannot pair up to more than one y-value. We can see this occur in the ordered pairs below.
(9,3),(9,10)
A spa charges $125 for a one hour massage and $250 for a
pedicure + 90-minute massage package. One day, the spa had
27 customers and made $5,250.
How many massages, x, and pedicure + 90-minute massage
packages, y, did the spa perform? Express your answer as an
ordered pair (x,y).
Enter the answer
Let x represent number of massages and y represent number of pedicure + 90-minute massage packages.
We have been given that a spa charges $125 for a one hour massage, so amount earned from x massages would be [tex]125x[/tex].
The spa charges $250 for a pedicure + 90-minute massage package, so amount earned from y pedicure + 90-minute massages will be [tex]250y[/tex].
We have been given that one day the spa had 27 customers. We can represent this information in an equation as:
[tex]x+y=27...(1)[/tex]
[tex]y=27-x...(1)[/tex]
Since spa made $5,250, so amount earned from both massages would be equal to 5,250. We can represent this information in an equation as:
[tex]125x+250y=5250...(2)[/tex]
Upon substituting equation (1) in equation (2), we will get:
[tex]125x+250(27-x)=5250[/tex]
Let us solve for x.
[tex]125x+6750-250x=5250[/tex]
[tex]-125x+6750=5250[/tex]
[tex]-125x+6750-6750=5250-6750[/tex]
[tex]-125x=-1500[/tex]
[tex]\frac{-125x}{-125}=\frac{-1500}{-125}[/tex]
[tex]x=12[/tex]
Upon substituting [tex]x=12[/tex] in equation (1), we will get:
[tex]y=27-12=15[/tex]
Therefore, the spa performed 12 one hour massages and 15 pedicure + 90-minute massage packages that is [tex](12,15)[/tex].
If the probability that event A takes place is 0.299, what is the probability of event A not
happening?
Answer:
0.701
Step-by-step explanation:
0.299=299/1000
probability of not happening=1000-299/1000
=701/1000
=0.701
hope I helped
please like and Mark as brainliest
Are you a boy or a girl
Answer: A boy
Step-by-step explanation: I'm a boy
Answer: Girl!
Step-by-step explanation: why? Oof
If a dog is tied to a rope 15 feet long, how can it reach a bone
30 feet away? The rope isn't
T
E - TO - N - -HI-
5.4
13.4
8.6
10.6 1.4
10
Answer:
The other end of the rope was not tied to anything
Step-by-step explanation:
The dog was tied to a rope of 15 feet long and the bone was 30 feet away from where he was tied. The rope used to tie the dog is 15 ft long . But the other end of the rope wasn't tied to anything, this simply means the dog can easily approach and get the bone 30 ft away from where it was tied.
The other end of the rope was not tied to anything . This implies that the dog can simply reach the bone without breaking a sweat. The 15 feet rope was only tied to the dog , so it does not stop the dog from reaching a bone that is 30 ft away.
The lowest temperature in January was less than−6°. Which could be the lowest temperature in January?
The lowest temperature in January is -10°C.
What are Integers?Integers come in three types:
Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)Given:
The lowest temperature in January was less than−6°.
as, we know in integers the smaller the number the grater its value.
such as -100 < (-1)
So, -6 > -10
and, -6 < 0
and, -6 < -5
and, -6 < -2.
Thus, the lowest temperature is -10°C.
Learn more about Integers here:
https://brainly.com/question/15276410
#SPJ6
Final answer:
The lowest temperature in January can be any temperature that is less than -6°.
Explanation:
The question asks for the lowest temperature in January, given that it is less than -6°. Since the question does not provide a specific range, any temperature that is less than -6° can be considered the lowest temperature in January. For example, -10°, -15°, or -20° can all qualify as the lowest temperature in January.
a 1/12
b 36/1
c 1/36
d 1/6
Answer:
c
Step-by-step explanation:
someone pls help me with this
Answer:
0.75 packs of paper
Step-by-step explanation:
9 packs of paper divided evenly to 12 students:
9 divided by 12 = .75
Hope this helps!!
If the product of two integers is positive, their signs are positive or negative
Fernando bought a jacket for $185 and sold it for 1 1/2 times what he paid. Marisol spent 1/5 as much as Fernando on the same jacket but sold it for 1/2 as much as Fernando did. How much money did Marisol make? Explain your thinking using a diagram
We have been given that Fernando bought a jacket for $185 and sold it for 1 1/2 times what he paid.
Let us find selling price of jacket as:
[tex]\text{Selling price of Fernando's jacket}=\$185\times 1\frac{1}{2}[/tex]
[tex]\text{Selling price of Fernando's jacket}=\$185\times \frac{3}{2}[/tex]
[tex]\text{Selling price of Fernando's jacket}=\$277.5[/tex]
We have been given that Marisol spent 1/5 as much as Fernando on the same jacket.
[tex]\text{Cost of Marisol's jacket}=\$185\times \frac{1}{5}[/tex]
[tex]\text{Cost of Marisol's jacket}=\$37[/tex]
We are also told that Marisol sold the jacket for 1/2 as much as Fernando did.
[tex]\text{Selling price of Marisol's jacket}=\frac{\$277.5}{2}[/tex]
[tex]\text{Selling price of Marisol's jacket}=\$138.75[/tex]
The amount of money earned by Marisol would be selling price of jacket minus cost.
[tex]\text{Amount of money earned by Marisol}=\$138.75-\$37[/tex]
[tex]\text{Amount of money earned by Marisol}=\$101.75[/tex]
Therefore, Marisol made $101.75.
What is the difference in the Volume Formula for a prism and a pyramid. *
Answer:the volume of a prism is the area of the base times the height of the prism. The volume of the pyramid has the same base area and height as the prism, but with less volume than the prism. The volume of the pyramid is one third the volume of the prism.
Step-by-step explanation:
i hope this helps
Observe the graph below and determine the exponential function.
PLEASE HELP FAST
Step-by-step explanation:
I think the exponential function is 4,-8
Answer:
f(x) = 1/4
Step-by-step explanation:
I used google, and I wish there were some answer choices!! If there are, let me know!!
24+j= 37.947 I need to solve for j
Answer:
j= 13.947
Step-by-step explanation:
j=37.947-24
so j= 13.947
What’s the diameter of circle 0?
Answer:
AC
Step-by-step explanation:
A diameter is a straight line passing through the center of the circle. O is the center of the circle and AC is passing through O.
A vase with a circular base exerts a force of 15 N on a table with a pressure of 700 N/m2.
Find the radius of the base of the vase in cm to 2 dp.
Final answer:
The radius of the base of the vase is 19.5 cm.
Explanation:
To find the radius of the base of the vase, we can use the formula for pressure: pressure = force/area. In this case, the force exerted by the vase on the table is 15 N and the pressure is 700 N/m². Let's assume the base of the vase is a circle. The area of a circle is given by the formula A = π r², where r is the radius of the circle.
So, we can rearrange the formula for pressure to solve for the radius:
r = √(force/pressure) = √(15 N / 700 N/m²) = 0.195 meters.
To convert the radius from meters to centimeters, we multiply by 100: 0.195 meters * 100 = 19.5 centimeters. Hence, the radius of the base of the vase is 19.5 cm.
Final answer:
By applying the pressure formula and solving for the radius, the calculated radius of the base of the vase comes out to be approximately 8.26 cm to two decimal places.
Explanation:
To find the radius of the base of the vase, we need to use the formula for pressure, which is pressure (P) equals force (F) divided by area (A). The formula can be expressed as:
P = F / A
We have been given the pressure and the force, and the area of a circle is equal to π × radius^2 (πr^2). By substituting the known values into the pressure formula and solving for the radius, we get:
700 N/m2 = 15 N / (πr^2)
r^2 = 15 N / (700 N/m^2 × π)
r = √(15 / (700 × π))
Now, calculate the numerical value of the radius:
r = √(15 / (700 × 3.14159))
r ≈ √(0.0068194)
r ≈ 0.082595 cm
To present our answer in centimeters to two decimal places:
r ≈ 8.26 cm
Does anyone know the question to this?
Answer:
120
Step-by-step explanation:
10x3=30x4=120
I need help pleaseee (10 points)
Answer:
(x+9) (x+9)
Step-by-step explanation:
hope this helps ;/
Answer:
(x+9)(x+9)
Step-by-step explanation:
do the ratios 9/6 and 2/1 form a proportion
Answer:
This is not a proportion
Step-by-step explanation:
Set up a proportion
9/6 = 2/1
Check with cross products
9*1 = 6*2
9 = 12
This is not true so they are not proportional
What is the first step to solving this
equation?
4(2x-3)=4
Answer:
x=2
Step-by-step explanation:
Let's solve your equation step-by-step.
4(2x−3)=4
Step 1: Simplify both sides of the equation.
4(2x−3)=4
(4)(2x)+(4)(−3)=4(Distribute)
8x+−12=4
8x−12=4
Step 2: Add 12 to both sides.
8x−12+12=4+12
8x=16
Step 3: Divide both sides by 8.
8x /8 = 16 /8
x=2
Answer:
x = 2
Step-by-step explanation:
4(2x-3) = 4
⇔
4 × (2x-3) = 4 × 1
⇔
(2x-3) = 1 (divide both sides by 4)
⇔
2x = 1 + 3 (Move 3 to the right hand side)
⇔
2x = 4
⇔
x = 4/2
⇔
x = 2
Lauren owes her friend $32.50 for a concert ticket. She doesn’t have the cash now, but she’ll earn it babysitting this weekend. If Lauren gets paid $8 an hour to babysit, the equation that represents y, how much money will she have after paying back her friend, in terms of x, the number of hours she spends babysitting this weekend, is y = x .
Answer:
y=8x-32.5
Step-by-step explanation:
8 dollars an hours = slope
-32.5 owed = y-intercept
Find a solution to the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of
equations
4x - 2y - 5z = -51
4x - y - 2z = -36
4x - 2y + 4z = -24
a. (-6, 6, 3)
C (-6, 6, 62)
b. (-62, 62, 30)
d. (-62, 6, 62)
Answer:
A. ( -6, 6, 3)
Step-by-step explanation:
100% correct
Compare the following functions: f(x) = 3 sin(x − π) + 4 g(x) graph of a quadratic with points at 1, 5 and 3, 1 and 5, 5 h(x) x y −2 4 −1 3 0 2 1 1 2 2 3 3 4 4 Which function has the smallest minimum?
Answer:
All three functions have the same minimum
Step-by-step explanation:
Answer:
All three functions have the same minimum
Step-by-step explanation:
I'm taking the test
a triangular section of a farm is enclosed by fences that are 2 meters, 6 meters, and 7 meters long, estimate the area of the section
Final answer:
To estimate the area of a triangular section with sides 2 meters, 6 meters, and 7 meters, you can use Heron's formula. The semi-perimeter is 7.5 meters. The estimated area of the triangle is approximately 5.56 square meters.
Explanation:
To estimate the area of a triangular section of a farm enclosed by fences that are 2 meters, 6 meters, and 7 meters long, we can use Heron's formula. First, we calculate the semi-perimeter (s) of the triangle:
s = (a + b + c) / 2s = (2 + 6 + 7) / 2s = 15 / 2s = 7.5 metersNow, we use Heron's formula to find the area (A):
A = √(s(s-a)(s-b)(s-c))A = √(7.5(7.5 - 2)(7.5 - 6)(7.5 - 7))A = √(7.5 * 5.5 * 1.5 * 0.5)A = √(30.9375)A ≈ 5.56 square metersTherefore, the estimated area of the triangular section of the farm is approximately 5.56 square meters.
The temperature in a greenhouse should be 65 degrees or higher. One morning, the heater stopped working. The temperature dropped 6 degrees before someone fixed the heater. The temperature was still at least 65 degrees when the heater started working again. How can you best describe the temperature in the greenhouse before the heater stopped working?
The temperature in the greenhouse before the heater stopped working was at least 71 degrees Fahrenheit, based on the information that the temperature dropped 6 degrees but remained at least 65 degrees.
Explanation:As the temperature dropped 6 degrees and was still at least 65 degrees when the heater was fixed, we can set up a simple inequality to represent this situation:
Let T represent the temperature before the heater stopped working. After the heater stopped working and the temperature dropped by 6 degrees, the new temperature would be T - 6. According to the provided information, this new temperature was still at least 65 degrees, which gives us the inequality:
T − 6 ≥ 65
Adding 6 to both sides of the inequality, we find:
T ≥ 71
This means that the temperature in the greenhouse before the heater stopped working was at least 71 degrees.
At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. Who is the first customer that is going to win both free items?
Answer:
The 150th person
Step-by-step explanation:
popcorn will be given out 5 times
and the drink 2 times.
30 times 5 equals 150
75 times 2 equals 150
Answer:
The answer I got is The 150th person
100% should be right
A restaurant charged one customer $28.20 for 3 small dishes and 5 large dishes and charged another customer $23.30 for 4 small dishes and 3 large dishes. What will 2 small and 4 large dishes cost?
Answer:
Let s and l be the price of small and large dishes. The first equation is
While the second equation is
(I assume that you meant "4 small dishes and 3 large dishes")
If we multiply the first equation by 4 and the second by 3 we have
Subtract the two equation and you have
Substitute this value in one of the equation to derive
So, one small dish costs 2.9 and one large dish costs 3.9. This means that 2 small and 4 large dishes cost
Step-by-step explanation: Brainliest Answer Plz
What are the x- and y-intercepts of the function graphed below?*
(0, 3) and (6,0)
(3,0) and (0,6)
(3,0) and (6.0)
(0.3) and (0,6)
Answer:
(3,0) and (0,6)
Step-by-step explanation:
(x,y) is the only way to make ordered pair.
The x was a 3 so you could cross out the first and last because they put the 3 in the y spot. When is should be (3,0).
Then the y was 6 and that I would be (0,6) so the third would also be crossed out because they put the 6 in the y spot.
So the answer is (3,0) and (0,6).
Inequality stuff... look at image for the question. An explanation would also be nice, but you can comment it along with the answer.
Will give Brainliest for the correct answer! :]
Answer:
x>-8
Step-by-step explanation:
When you multiply (or divide) both sides of an inequality by a negative number (in this case -1), you need to flip the inequality symbol. For instance in this case, -x<8 is the same as x>-8. This is because you know that if -x is less than 8, if x is less than -8 then the inequality wouldn't be true any longer. This can be demonstrated with an example: Say that x is -10. -(-10) is 10, and no longer smaller than 8. Therefore, x>-8. Hope this helps!
Shwetha comes to the swimming pool once every 12 days. Vinnie comes once every 4 days and Olga comes once every 10 days. Last Monday all of them were in the pool. In how many days all of them will meet at the swimming pool again? What day of the week will it be?
Answer:
60 days, Friday
Step-by-step explanation:
This problem is solved using concept of LCM.
LCM is the least number which is the common multiple of given set of different number.
To find the LCM we method of prime factors, the steps are given below
get all the all the prime factor of the given set of numberselect all the prime factors as many times they occur in given set of numbermultiply together the numbers selected together to get LCM________________________________________________
Given
frequency of visiting swimming pool by Shwetha = once in 12 days
factors of 12 = 2 * 2 * 3
frequency of visiting swimming pool by Vinnie = once in 4 days
factors of 2 = 2 * 2
frequency of visiting swimming pool by Olga = once in 10 days
factors of 10 = 2 * 5
minimum no of days after which they will be visiting together will be least common multiple of number of days after which they visit swimming pool individually.
Selecting the prime numbers with their highest occurrence
we have 2, 2, 3 ,5
multiplying them together we have
2 * 2 * 3* 5 = 60
therefore 60 is the LCM of 12, 4, 10
it means that Shwetha, Vinnie and Olga will visit swimming pool together once in 60 days
It is given that they visited on Monday and now they will visit after 60 days again.
since in one week there are seven days, every eighth day will be monday
so we divide 60 days by 7 to see how many cycles of monday has passed.
60/7 = 8 4/7
It suggest that 8 weeks has passed and they will meet on 4 days after Monday which will be Friday.
Thus they will meet meet at the swimming pool again in 60 days.
It will be Friday.
Answer:
60 days, friday
Step-by-step explanation:
After chamar poured 2 liters of water into a large jug, the jug contained 10 liters of water. How many liters were in the jug to start
Answer:
8
Step-by-step explanation:
10 - 2 = 8
Answer:
8
Step-by-step explanation:
10-2=8
8 is how many it started with