Answer:
f(x) = -¹/₄(x + 2)² - 6Step-by-step explanation:
The vertex form of an equation of the parabola:
f(x) = a(x - h)² + k
vertex is (-2, -6) so h = -2, k = -6
so:
f(x) = a(x - (-2))² + (-6)
f(x) = a(x + 2)² - 6
the parabola goes through the point (-4, -7) so for x=-4, f(x)=-7
-7 = a(-4+2)² - 6
-7 +6 = a(-2)² - 6 +6
- 1 = a(4)
a = -¹/₄
Therefore the equation of the parabola in vertex form:
f(x) = -¹/₄(x + 2)² - 6
Divide 4 over 5 ÷ 1 over 10 = ___Divide 4 over 5 ÷ 1 over 10 = ____.
Numerical Answers Expected!_. Numerical Answers Expected!
3(-4/7) I don’t know how to get the answer
Answer:
Step-by-step explanation:
if its 3 - 4/7 then it = 2 3/7
if its 3*-4/7 then it = -12/7 = - 1 5/7
A parking garage charges an initial fee to enter, as well as an hourly rate to park. The equation, T = 6 + 2.50h, relates hours parked, h, and
the total charges in dollars, T.
What is the initial fee to enter the garage?
O A $2.50
OB. $3.50
OC. $6.00
OD. $8.50
S RESET
Anala Ramon, ID#******63
Growth: Algebra 1 CCSS 2010
Question # 36
Answer:
The answer is $6.00.
Step-by-step explanation:
They said that there was an initial fee along with an hourly fee. They also said that the hourly fee depended on the number of hours put in. Which would be h. So the initial fee stays the same and is just added to the hourly fee. As you can see the fee added on to the hourly fee is $6.oo.
The initial fee to enter the garage is option (C) $6.00.
What is the linear equation?The linear equation is the algebraic form of equation whose variables has the exponent of one. It is the combination of two variables and a constant value present in them.
For the given situation,
The equations is, T = 6 + 2.50 h
where, h is the parking hours and
T is the total charges in dollars.
The initial fee to enter the garage means there will be no fee for parking,
⇒ [tex]h=0[/tex]
Then the equation becomes,
⇒ [tex]T=6[/tex]
Hence we can conclude that the initial fee to enter the garage is option (C) $6.00.
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1. 360 miles in 6 hours
Answer:
60mph
Step-by-step explanation:
Figure B is a scaled copy of Figure A.
Answer:
1/3
Step-by-step explanation:
On left side its 6:2 so 6/2 is 3
the scale factor is 1/3 because figure is a reduction
hope it helps ;)
Answer:
1/3
Step-by-step explanation:
The side that's highest is 9 units, the the image its 3. 3/9= 1/3
write your answer here
[tex]0.0063 = 63 \times {10}^{ - 4} = 6.3 \times {10}^{ - 3} \\ [/tex]
Done... ♥️♥️♥️♥️♥️
Answer:
what she said ^^ :)
On a spelling test, Lucy got 4 out of 5 correct. If Lucy got
20 questions correct, then how many quesitons did she
miss?
Answer:
4
Step-by-step explanation:
Answer:
She missed 4 questions
Step-by-step explanation:
4/5=8/10=16/20
please help me quickly the question is on the image
At the local gas station gasoline costs $2.75 for per gallon and diesel costs $3.02 per gallon. Gabriel needs to purchase 15.2 gallons of gasoline for his truck, and 9.5 gallons of diesel fuel for his tractor.
Answer:
The total amount paid by Gabriel at the local gas station is $70.49.
Step-by-step explanation:
Cost of gasoline per gallon = $2.75
Cost of diesel per gallon = $3.02
Amount of gasoline Gabriel needs = 15.2 gallons
Amount of diesel Gabriel needs = 9.5 gallons
Compute the total amount paid by Gabriel at the local gas station as follows:
Total Cost = Cost of gasoline × Amount of gasoline
+ Cost of diesel × Amount of diesel
[tex]=(2.75\times 15.2)+(3.02\times 9.5)\\\\=41.8+28.69\\\\=70.49[/tex]
Thus, the total amount paid by Gabriel at the local gas station is $70.49.
A calculator that cost $60 in 1980 now sells for $10. What was the percent of decrease
Answer: 16.6%
Step-by-step explanation:
$60 divided by 6 = $10
so divide 100 by 6 and you get about 16.6
I Hope this Helps!
what does x equal -13 - 3x = -10
Answer:
ty -11
Step-by-step explanation:
Write 4.51 as a mixed number and as an improper fraction.
Do not try to simplify your answers.
mixed number:
it will be 451/100 as an improper fraction! :)
Which is an equivalent expression
Answer:
the answer to that is the second one, 4^-4
The heights of people of the same gender and similar ages follow Normal distributions reasonably closely. How about body weights? The weights of women aged 20 to 29 have mean 141.7 pounds and median 133.2 pounds. The first and third quartiles are 118.3 pounds and 157.3 pounds. Is it reasonable to believe that the distribution of body weights for women aged 20 to 29 is approximately Normal? Explain your answer.
Answer:
No it is not reasonable to believe that the that the distribution of body weights for women aged 20 to 29 is approximately Normal.
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 141.7 \ pounds[/tex]
The median is [tex]Q_2 = 133.2 \ pound[/tex]
The first quartile is [tex]Q_1 = 118.3 \ pound[/tex]
The third quartile is [tex]Q_3 = 157.3 \ pound[/tex]
Generally the Bowley's coefficient of skewness is mathematically represented as
[tex]B = \frac{ Q_3 +[ Q_1 -[2* Q_2}{Q_3 - Q_1}[/tex]
=> [tex]B = \frac{ 157.3 +[ 118.3 -[2* 133.2 }{157.3 - 118.3}[/tex]
=> [tex]B = 0.2359[/tex]
Give that the Bowley's coefficient is positive it means that the distribution of weight is positively skewed
if f(x)=4x^2+1 and g(x)=x^2-5 find (f-g)(x)
Answer:
Answer: 5x² - 4
Step-by-step explanation:
f(x) = 4x² + 1
g(x) = x² - 5
Then
(f + g)(x) = 4x² + 1 + x² - 5
= 5x² - 4
Answer: 5x² - 4
Alyssa is paid a 5 percent commission on her total sales each month. Last month, she sold $30,000 worth of items. After a state tax rate of 9 percent is deducted from her commission, how much is left to the nearest dollar?
$135
$150
$1,365
$1,500
Answer:
c
Step-by-step explanation:
bc
Which of the following is a solution to the linear function:
2x + 4y = 16
(2, 4)
(4, 2)
(-2, – 4)
(4,0)
Please Help due in 3 min
Answer:
D y=-4x+1
Step-by-step explanation:
Answer:
C) -4x+1
Step-by-step explanation:
Christian types 240 words in 4 minutes. Enter the number of words Christian types in 7 minutes at this rate.
Answer:
420 words per minute
Step-by-step explanation:
This is because if christian types 240 words in 4 minutes, all we need to do is find how many words per minute christian types then multiply it by 7. So
240/4= 60,
Christian types 60 words per minute, so now we must multiply 60 and 7
60*7=420
So with that being said. Christian types 420 words in 7 minutes.
5(x+2)=⅗ (5+10x)
how do i solve
Answer:
7x
Step-by-step explanation:
5(x+2)=⅗ (5+10x) - distribute 5*x= 5x 5*2=10 3/5*5= 3 3/5*10x=6x
5x+10= 3+6x
-5 -5
10=3+1x
10=3+x
-3 -3
7=x
hope this helps!
Wes is 4 years older than his sister. Let x be his sister's age. Write an expression that tells how old Wes is.
x+4
if x is Wes' sister's age, then it would be x + 4 since Wes is 4 years older.
The winner of the city marathon completed the race in 176.85 minutes. Assuming he ran at the same speed the whole time, how many minutes did it take him to run one mile? The marathon was approximately 26 miles long. Round your answer to the nearest tenth. A.68.0 minutes O B.6.7 minutes C. 15.9 minutes o D.6.8 minutes
Answer:
D
Step-by-step explanation:
The answer is 6.809 so rounded is 6.8
Jaylin solved this equation from the card sort:
15 – 7x= 3 + 5x
12 – 7x= 5x
12 = 12x
1= x
Is this correct?
The Department of Streets of a city has a budget of $1,962,800 for resurfacing roads and hiring additional workers this year. The cost of resurfacing a mile of 2-lane road is estimated at $84,000. The average starting salary of a worker in the department is $36,000 a year. Select all of the equations that represents the relationship between the miles of 2-lane roads the department could resurface, m, and the number of new workers it could hire, w, if it spends the entire budget. a \large 84,000m=\frac{1,962,800}{36,000w} b \large \frac{1,962,800+36,000w}{84,000}=m c \large 84,000m-36,000w=1,962,800 d \large \frac{1,962,800-84,000m}{36,000}=w e \large 84,000m+36,000w=1,962,800
Answer:
d \large \frac{1,962,800-84,000m}{36,000}=
e \large 84,000m+36,000w=1,962,800
Step-by-step explanation:
Given the following :
Budgeted amount = $1,962,800
Cost of resurfacing a mile of 2- lane road = $84,000
Salary of additional worker = $36,000
Number of miles = m
Number of workers = w
equations that represents the relationship between the miles of 2-lane roads the department could resurface, m, and the number of new workers it could hire, w, if it the entire budget is spent ;
(Cost of a mile of 2-lane road * number of miles) = total budget
(84000m + 36000w) = 1,962,800
To make w, the subject of the formula :
36000w = 1962800 - 84000m
w = (1962800 - 84000m) / 36000
To make m, the subject of the formula :
84000m = 1962800 - 36000w
m = (1962800 - 36000w) / 84000
What is the inverse of the function g(x)=5(x-2)
Answer:
[tex]\frac{x-2}{5}[/tex]
Step-by-step explanation:
The inverse function of the function g(x)=5(x-2) is g(x)⁻¹= [( x/5 )+2 )].
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The inverse function is calculated as:-
y = 5 ( x - 2 )
Replace the variables with each other in the equation.
x = 5 ( y - 2 )
( x/5 ) = y - 2
y = ( x/5 ) + 2
Therefore, the inverse function of the function g(x)=5(x-2) is g(x)⁻¹= [( x/5 )+2 )].
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Can someone please help me asap I’ll mark brainlist!!!!!
Answer:
No because the aren’t equalll
Step-by-step explanation:
Is this ggod
Answer:
No
Step-by-step explanation:
32/4 = 8
72/10 = 7.2
Juan And his little brother had a pizza divided into eight slices of equal size juan ate 5 slices and his little brother ate the rest what fractional part did each person eat? juan ate 5 of 8 slices or his brother ate of 8 slices pieces or?
Answer:
Juan ate 5/8 his little brother ate 3/8
Step-by-step explanation:
Answer:
juan = 5/8
brother = 3/8
Alma was given some money as a gift and deposited it into a savings account. She makes a withdrawal of the same amount at the end of each month. At the end of the 5th month, her balance was $442. At the end of the 13th month, her balance was $226.
Answer:
the input is the number or gallons aka b
the output is the balance in the account aka c
and the two points described are (5,442) and (13,226) aka c
Step-by-step explanation:
i did it on edge and got it right :)
Answer:
here the answer
Step-by-step explanation:
(8x^4-64x^3+3x-28) / (X-8)
Answer:
[tex]8x^{3}+3-\frac{4}{x-8}[/tex]
Step-by-step explanation:
Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.
Beth takes measurements of her door . The diagonal line is 12 ft and the base is 4 ft . what is the height of her door?
A. 10.1 ft
B. 32 ft
C. 9.5 ft
E. 11.3 ft
Answer:
the answer is E, right?
Step-by-step explanation: