Answer:
y = - (x - 5)² + 7Step-by-step explanation:
y = a(x - h)² + k - vertex form of the equation of the parabola with vertex (h, k)
So the equation of the parabola with vertex (5, 7):
y = a(x - 5)² + 7
The parabola passes through point (2, -2) so if x=2 then y=-2
- 2 = a(2 - 5)² + 7
- 2 -7 = a(-3)² + 7 -7
- 9 = 9a
a = - 1
So, the equation written in vertex form of a parabola with a vertex of (5, 7) that passes through (2, -2):
y = - 1(x - 5)² + 7
Suppose that an individual has a body fat percentage of 12.4% and weighs 158 pounds. How many pounds of his weight is made up of fat?
(6+2i)÷3i solve this problem
Factor 7 out of 7d - 56
A)7(d - 8)
B)7(d + 8)
C)7(d + 56)
D)7(d - 56)
Answer:
A
Step-by-step explanation:
7d/7=d
-56/7=-8
7(d-8)
Which is a linear graph, and which is a nonlinear graph?
How do you know?
Orange is linear; blue is nonlinear
Blue is linear; orange is nonlinear
Both are linear
Both are nonlinear
Answer:
Blue is linear
Step-by-step explanation:
For lines to be linear on a graph, they have to follow these 2 rules:
-be a straight line
-be written in the form of y=mx+b
Therefore, blue is linear and orange is nonlinear
so how do you do inverse fractions again?
Answer:
Opposite reciprocal; so 2/3 would be -3/2
Step-by-step explanation:
Answer:
To find fraction (number) inverse you need to do below steps: I. Remove wholes part. If you want to invert mixed number (or integer number), then you need convert it to improper fraction. For example: 2 1/2 should be converted to 5/2. In other case. when there is no wholes part, nothing to do in this step.
Step-by-step explanation:
A college student takes out a $7,500 loan from a bank. What will the balance of the loan be after one year (assuming the student has not made any payments yet):
if the bank charges 5.3% interest each year?
Answer:
the balance of the loan be after one year is $7897.5.
Step-by-step explanation:
sandy is having a thanksgiving feast for her family of 24. she is deciding between these two options. Help please which one is better and why . Due in three hours!!!
Answer:
option b
Step-by-step explanation:
A study was created to test the effects of jazz on people’s sleep patterns. The hypothesis of the experiment, 2 groups of people were created.Group I was placed in a quiet room where they went to sleep and they were timed on how long they slept. The group 2 was placed in a room where jazz music played softly as they began to sleep and played throughout the night. As each group awoke,their sleep times were monitored. What is the independent Variable ? And what is the Dependent Variable?
Answer:
independent variable- Presence or absence of soft jazz music
Dependent variable - sleep time
Step-by-step explanation:
The independent variable refers to that variable that is manipulated in an experiment. The independent variable is being studied and its effect on the dependent variable is documented. Presence or absence of soft jazz music is the independent variable.
The dependent variable is the response variable. It is that factor that changes when the independent variable is manipulated. In this case, the sleep time of the participants in the study is the dependent variable.
The sum of a number and its reciprocal is 3. Find the number
Select the graph that represents two quantities in a proportional relationship
Answer:
B and D
Step-by-step explanation:
A graph representing a proportional relationship is a straight line passing through the origin.
The only straight line graphs passing through the origin are B and D
Graph in Option D satisfies Proportional Relationship.
What is Proportional Relationship ?The relationship between two variables such that on increase of one variable the other also increases by some proportion.
It is represented by
y∝ x
y = kx
where k is the proportionality constant
The graph should pass through origin to show a proportional Relation
and should have same proportionality constant through out
Option D satisfies both the condition with k = 0.5.
Therefore Option D is the correct answer.
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This equation has one solution.
3(x-2) + 4x = 10(x + 1)
What is the solution?
O-5
O-2
-16
3
-16
7
Intro
Harper measured a line to be 5.4 inches long. If the actual length of the line is 5.3 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
The percent error of the measurement is 1.9%.
Given that, Harper measured a line to be 5.4 inches long.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
If the actual length of the line is 5.3 inches
So, the difference of length of line = 5.4-5.3
= 0.1
Now, the percent error = Difference in length of line/Actual length × 100
= 0.1/5.3 × 100
= 0.01887 × 100
= 1.9 %
Therefore, the percent error of the measurement is 1.9%.
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Mr.Hollis determines that he gives away $800 each month if he gives away 16% of his budget, how much is his overall budget
0/1 Patrick has $375 in his account. This is $90 more than his brother Ralph has in his account. Write an equation using x to find the amount of money in Ralph's account.
Answer:
x + 90 = 375
x represents the amount of money in Ralph's account.
Consider the figure shown below. Find the value of BL
Answer:
BL = 2
Step-by-step explanation:
Given:
AL = 3
AC = 10
BC = 9
AL = AM = 3 (tangents drawn form am external point)
CM = AC - AM
CM = 10 - 3
CM = 7
CM = CN = 7 (tangents drawn form am external point)
BN = BC - CN
BN = 9 - 7
BN = 2
BN = BL = 2 (tangents drawn form am external point).
BL = 2
Several Friends meet at an ice cream parlor.They order 5 ice cream cones and 3 sundaes and pay a total of $27.30.The ice cream cones cost a total of $14.25.What is the cost of one sundae?
Answer:
$4.35
Step-by-step explanation:
Answer:
the sundaes would have been $4.35 a peice! This is simple math i used a calculator! Dont waste your points! :)
Step-by-step explanation:
$27.30
- $14.25
________
13.05 Divided by 3 is = $4.35!
simplify: (-3x^3+2x^2+4x)-(8x^4-5x^3+6x^2-2x
Answer:
−8^4+2^3−4^2+6
Step-by-step explanation:
Distribute the - to 8x^4-5x^3+6x^2-2x:
-8x^4+5x^3-6x^2+2x
Now simplify:
-3x^3+2x^2+4x-8x^4+5x^3-6x^2+2x= −8^4+2^3−4^2+6
Hope this helps!
Help will give brainliest!!
Answer:
∠ TUW = 127°
Step-by-step explanation:
∠ QRU and ∠ TUW are corresponding angles and are congruent , thus
∠ TUW = ∠ QRU = 127°
I’ll give 15 points to who ever answers my question
Ah trust me you wont get them correct. I've done this last year when I was a sophomore and honestly if I were you just random guess it. Like real talk
HELP PLEASE ILL MAKE YOU BRILLIANT !?!
Answer:
For #7:
B= 506
C=25
D=792
For #8:
She would drive 385 miles
For #9:
He used 2.25 or 2 1/4 cups per batch
For #10:
She will have to mow 13 lawns.
For #11:
PART A:
The first box would be 0.5
The third box would be 40
The fourth box would be 3.5
PART B: You'll have to do that yourself now that you have to times.
PART C: She rode 20 kph
Really hoped this helped!!! Have a great night and Happy Thanksgiving :)
in 1975 a four function calculator cost $125. In 1995 a 4 function calculator cost $5. Find the
rate of change in cost of a calculator in dollars per year.
HELP ASAP
Answer:
it's -6 dollars per year.
Step-by-step explanation:
the expression would be (5-125)/(1995-1975) which would give you the average rate of change.
What is the product of the 5th square number and the 2nd square number?
for 2 the product is always an square number and 5 is 25
The product of the square of 5 and the square of 2 = 100
The question should be properly written as the product of the square of 5 and the square of 2.
The square of 5 = 5² = 25
The square of 2 = 2² = 4
The product of the square of 5 and the square of 2 = (Square of 5) x (Square of 2)
The product of the square of 5 and the square of 2 = 5² x 2²
The product of the square of 5 and the square of 2 = 25 x 4
The product of the square of 5 and the square of 2 = 100
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Renee used the values in the table to calculate simple interest.
Principal $750
Interest rate ?
Time 11 years
Interest $412.50
Which interest rate is missing from Renee’s table?
0.05%
0.5%
5%
50%
Answer:
5% hope its correct
Step-by-step explanation:
The rate of Interest is 55.
What is Simple Interest?Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.
Given:
Principal= $750
Time = 11 years
Interest= $412.50
Using Simple Interest
SI= (PRT)/100
412.5 = (750 x R x 11) 100
41250 = 8250R
R= 5%
Hence, the rate of Interest is 55.
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Find the slope of the line segment shown.
-1/2
-1
1/2
1
Answer:
slope = 1
Step-by-step explanation:
slope = (y2 - y1)/( x2-x1)
slope = -2-3/-3-2
slope = -5/-5
slope = 1
If two angles are both obtuse, the two angles are equal. What is the converse??
Answer:
If the angles are equal, then two angles are both obtuse
Step-by-step explanation:
converse flips the conclusion and hypothesis
A turtle is 20 5/6 inches below the surface of the pond. It dives to a depth of 32 1/4. What is the change of the turtles posistion. HELP ASAP PLEAS AND THEANK YOU!
Answer:
I believe it's 11
Step-by-step explanation:
Sorry if I'm wrong
ASAP what is the x and y intercept for −4x+7y=3
Answer:
x - (-3/4,0)
y - (0, 3/7)
Step-by-step explanation:
HELP ASAP The number of hours you study for an exam affects your grade. What is a reasonable value of the range?
A) 75
B) 1.25
C) -30
D) 1/2
Avery is moving and must rent a truck. There is an initial charge for the rental plus a fee per mile driven. Let C represent the total cost of renting the truck when the truck is driven m miles. The table below has select values showing the linear relationship between m and C. Determine the cost per mile that Avery drives.
M: 2, 4.5 ,7
C: 46, 53.5 , 61
Answer thought it was m=3 but nvm
Step-by-step explanation:
An animal shelter provides a bowl with 1.15 liters of water for 6 cats. About how much water will be left after the cats drink their average daily amount of water?
Answer:
they would each be getting an average of 0.25 liters of water a day
Step-by-step explanation: