Answer:
This is the answer do it fast. Ok
Answer:
see explanation
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = x² - 8x + 13 ← is in standard form
with a = 1 and b = - 8 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{-8}{2}[/tex] = 4
Substitute x = 4 into the equation for corresponding value of y
y = 4² - 8(4) + 13 = 16 - 32 + 13 = - 3
Vertex = (4, - 3 )
The axis of symmetry is a vertical line passing through the vertex with equation
x = 4 ← equation of axis of symmetry
To determine direction of opening
• If a > 0 then graph opens up
• If a < 0 then graph opens down
Here a = 1, thus graph opens up
Approximately 10% of the population is left-
handed. If a school had a student population
of 1200 students, how many of them could
you expect to be right-handed?
Answer:
1080
Step-by-step explanation:
if 10 percent are left handed that means that 90 percent are right handed
number of people that are right handed = 0.9 × 1200number of people that are right handed = 1080Answer:
120
Step-by-step explanation:
10%=0.1
1200*0.1=120
A pair of pants at Cool Topic originally cost $69. They are on sale for $52. What is the markdown? ________________ What is the percent markdown? (round to the nearest whole percent) _______________
Answer:
27.4%
Step-by-step explanation:
Step one:
given
original cost $69
seling price $52
Required
The percent reduction
Step two:
% reduction= change in price/original price*100
% reduction= 69-52/62*100
% reduction=17/62*100
% reduction= 0.274*100
% reduction= 27.4%
What value(s) of x will make x2 = 9 true? O A. 3 and -3 O B. 3 a O c. 3 O D. 81 and -81
Answer: D. 3
Step-by-step explanation:
3 times 3 equals 9 so the answer is 3
Answer:
The answer is 3.
Step-by-step explanation:
I took the quiz and got 100%
PUZZLE: six wolves catch six lambs in six minutes. How many wolves will be needed to catch sixty lambs in sixty minutes?
no, the answer is not sixty!!
Find the value of x in a triangle 68 27
1+y=-4/5x-2
Solve for Y
Step-by-step explanation:
y=-4/5x-2-1
y=-4/5x-3
y/4=5x-3
(y/4)-3 =5x
(y-12)/4=5x
The solution for y will be y = -4/5x-3
What is expression?Numbers, symbols and operators grouped together that show the value of something.
Given an expression, 1+y=-4/5x-2
Solving for y, we get
1+y=-4/5x-2
y = -4/5x-2-1
y = -4/5x-3
Hence, The solution for y will be y = -4/5x-3
For more references on expression, click;
https://brainly.com/question/14083225
#SPJ2
What is the average rate of change of f over the interval -1
on a separate sheet of paper and upload the work as a photo. Show all
appropriate work necessary for full credit.
f(x)=
x² - x - 1
Answer:
Average rate of change for the function [tex]f(x)= x^2-x-1[/tex] over the interval -1<x<1 is -1
Step-by-step explanation:
We need to find average rate of change of f over the interval -1 < x < 1
The function given is: [tex]f(x)= x^2-x-1[/tex]
The formula used to find average rate of change is:
[tex]Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}[/tex]
We have, a = -1 and b = 1
Finding f(b) when b=1
[tex]f(x)=x^2-x-1\\f(1)=(1)^2-(1)-1\\f(1)=1-1-1\\f(1)=-1[/tex]
Now, finding f(a), when a= -1
[tex]f(x)=x^2-x-1\\f(-1)=(-1)^2-(-1)-1\\f(1)=1+1-1\\f(-1)=2-1\\f(-1)=1[/tex]
Now, putting values and finding average rate of change
[tex]Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}\\Average\:rate\:of\:change=\frac{f(1)-f(-1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-(1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-1}{1+1}\\Average\:rate\:of\:change=\frac{-2}{2}\\Average\:rate\:of\:change=-1[/tex]
So, average rate of change for the function [tex]f(x)= x^2-x-1[/tex] over the interval -1<x<1 is -1
which one is it???? .
Answer:
option A, I guess .....
.
PLS HELP ITS DUE TODAY!!
If you have 75 Dollars, then number of nickels, y
- y = 75 ÷ 20
- y = 20 x 75
- y = 20 ÷ 75
Answer:
y=20x75 is the answer
Step-by-step explanation:
You can basically eliminate other two choices since they are division
Which percent is equivalent to 2.5?
2.5%
25%
250%
2,500%
Answer:
250%
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
find the third proportion to 8 and 12
Answer:
let the third proportion be x.
then 8,12 and x are in proportion
then 8:12=12:x
8x=12×12
x=144/8=18
Step-by-step explanation:
Gracie made cupcakes for a bake sale. She bought a cake mix for $4.79, a dozen
eggs for $2.99, a bottle of vegetable oil for $6.79, and a can of frosting for $5.25.
What were her total expenses for the cupcakes?
$21.45
$19.82
$18.92
Answer:
She spent 19.82 in all
Step-by-step explanation:
I added them
If one mile equals 5,280 feet, how many feet are in 7 miles?
754 feet
1,326 feet
3,696 feet
36,960 feet
Answer:
36,960
Step-by-step explanation:
multiply 5280 by 7
TJ rented a truck to move to a apartment the regular price of a Truck Rental is $200 TJ has a 50% off coupon he wants to know the sale tax of the truck rental
Answer:
$100
Step-by-step explanation:
From the question, we are given the following
Rental price of the truck
percentage off coupon = 50%
Required
Sale tax of the truck rental
Sale tax of the truck rental = 50% of the truck price
Sale tax of the truck rental = 50% of $200
Sale tax of the truck rental = 50/100 * 200
Sale tax of the truck rental = 0.5 * 200
Sale tax of the truck rental = $100
Hence the sale tax of the truck rental is $100
What is the product?
3 6 1
2
24 OX|0
0 6 2
1
Answer:
[7]
[4]
[2]
Step-by-step explanation:
The first matrices has 3 rows and 3 columns.
The second matrices has 3 rows and 1 column.
Therefore, your result with have 3 rows and 1 column because the smaller row and column is used.
Solve:
[3 * 2 + 6 * 0 + 1 * 1] [7]
[2 * 2 + 0 * 0 + 0 * 1] = [4]
[0 * 2 + 6 * 0 + 2 * 1] [2]
y is inversely proportional to the square of x.
A table of values for x and y is shown.
Х| 1 2 3 4
Y| 4 1 4/9 1/4
a) Express y in terms of x.
b) Work out the positive value of x when y = 25
Answer:
[tex]a) \: y = \frac{4}{ {x}^{2} }[/tex]
[tex]b) \: x = \frac{2}{5} [/tex]
Step-by-step explanation:
Please see the attached pictures for the full solution.
3. As a fundraiser the school has a pie eating contest. Matt eats 2.75 pies in 300 seconds. b. Use place value, multiplication with powers of 10, or equivalent fractions to explain what is happening mathematically to the decimal points in the divisor and dividend before dividing.
Answer:
Using equivalent fractions, the time Matt takes to eat 1 pie is 1200/11 which is the same as [tex]109\frac{1}{11}[/tex] seconds
Step-by-step explanation:
The number of pies Matt eats = 2.75 pies
The time duration Matt eats 2.75 pies = 300 seconds
Mathematically, the time duration for Matt to eat one pie is given as follows;
The time to eat 2.75 pies = 300 seconds
Dividing both sides of the equation by 2.75 gives;
The time to eat 2.75/2.75 pie = 300/2.75 seconds
2.75/2.75 = 1, therefore, we have;
The time to eat 1 pie = 300/2.75 seconds
The equivalent fraction of 3000/2.75 = 1200/11
Therefore;
The time Matt takes to eat 1 pie = 1200/11 seconds
Which expression is equivalent-3(6x+7)+4(7x+2)
Answer: are there choices?
Step-by-step explanation:
John's Mathematics exam mark this year is increased by 5% to 84. Find his Mathematics exam mark
last year.
Answer:
80%
Step-by-step explanation:
Let's call the past exam mark m,
m*105%=84
m*105/100=84
m=84/(105/100)
m=80
Hope this helps!
Answer:
80
Step-by-step explanation:
new value = 84
old value = n
can use percent change formula: (new value - old value) / old value = 5/100
[tex]\frac{84-n}{n}[/tex] = [tex]\frac{5}{100}[/tex]
cross-multiply (you can simplify 5/100 to be 1/20 first): 20(84 - n) = n
1680 - 20n = n
1680 = 21n
n = 80
Mr. Thompson drew a rectangle on the chalkboard with a length to width ratio of 5 to 2. He asked students to draw a rectangle with the same ratio of length to width in their journals. Audrey plans to draw a rectangle with a width of 6 centimeters. What length should Audrey's rectangle have?
Answer:
15 centimeters
Step-by-step explanation:
Ratio of Mr. Thompson rectangle = length : width
= 5 : 2
Audrey plans to draw a rectangle with a width of 6 centimeters.
Ratio of Audrey rectangle = length : width
= x centimeters : 6 centimeters
Equate the two ratios to find the value of x
5 : 2 = x : 6
Cross product
5 * 6 = 2 * x
30 = 2x
Divide both sides by 2
x = 30 / 2
= 15
x = 15 centimeters
Audrey's rectangle should have a length of 15 centimeters
Answer:
15
Step-by-step explanation:
Which of these does NOT represent the number of minutes in a hour?
Answer:
the question is cut in half
Alex helps his father milk cows on their dairy farm. They are paid $2.25
per gallon of milk, that they get from their cows. Together, Alex and his
father are able to milk 12 gallons over a 2-hour period. How much money
could Alex and his father expect to earn if they worked for 10 hours?
А
$22.50
B
$54.00
C
$135.00
D
$270.50
Find the area of the equilateral triangle whose side length is a. Please help, 10 points.
Answer:
see explanation
Step-by-step explanation:
The area (A) of an equilateral triangle with side a is calculated as
A = [tex]\frac{a^2\sqrt{3} }{4}[/tex]
Please help!!!!!!!!!!!!!!!
Answer:
x = 48.59 degrees
Step-by-step explanation:
Do sin-1(12/16) and put it in a calculator. After that, you will get your final answer as 48.59 degrees. This requires sin because the opposite angle is 12 for x. The adjacent angle is something else.
Helplsieedgoodgradeplspls
Answer:
He would need to walk the dog 6 more times because 8 times 11 is 88 and if he has already walked the dog 5 times you would subtract that from 11 to get 6. So the answer would be 6
Step-by-step explanation:
8·11= 88
11-5= 6
Find the slope of the line
that goes through the given
points
t
(1,2) (3,-4)
I
1
Answer:
Step-by-step explanation:
y2-y1=
x2-x1
2--4=6(negatives cancel out)
3-1=2
so 6/2 =3
3 is slope
what is the domain and range
Answer:
0,1,2,3 is the domain
-2,1,2,4 is the range
Divya wants to rent a car to drive for the weekend. The rental company has a special that allows her to rent it for $200 for the weekend, plus $0.07 per mile. Divya only has $230. Write an inequality, solve, and determine her limitations when renting.
Answer:
[tex]200 + 0.07m \leq 230[/tex]
A maximum of [tex]\approx[/tex] 428 miles is the distance what Divya can travel.
Step-by-step explanation:
Given that:
Rent to be paid for the car in the weekend = $200
Charges to be paid per mile = $0.07
Total money available with Divya = $230
To find:
The inequality as per her limitations and solution to the problem.
Solution:
Let the number of miles for which Divya can drive = [tex]m[/tex] miles
Charges for one mile = $0.07
Charges for [tex]m[/tex] miles = $0.07[tex]m[/tex]
Total charges for renting and [tex]m[/tex] miles = Rental charges + Operational charges
Total charges for renting and [tex]m[/tex] miles = $200 + $0.07[tex]m[/tex]
These are charges must be lesser than equal to the amount of money available with Divya.
Therefore, we can write:
[tex]200 + 0.07m \leq 230[/tex]
Subtracting 200 from both the sides:
[tex]0.07m \leq 30[/tex]
Dividing both sides with 0.07:
[tex]m \leq \dfrac{30}{0.07}\\m\leq 428.6[/tex]
Therefore, a maximum of [tex]\approx[/tex] 428 miles is the distance what Divya can travel.
Simplify -8n - 7(6n - 6)
Answer:
-50n + 42
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
-8n - 7(6n - 6)
Step 2: Simplify
Distribute -7: -8n - 42n + 42Combine like terms: -50n + 429. Determine which of the following sequences is a geometric sequence. Check all that apply.
3,9, 27, 81, ...
100, 90, 80, 70, ...
5, 10, 20, 40, ...
2, 10, 18, 26,...
625, 125, 25, 5, ...
-2, 6, -18, 54, ...
Step-by-step explanation:
first geometric sequence
3^1, 3^2 ,3^3, 3^4,......
3, 9, 27, 81.......
second
5^1, 5^2, 5^3, 5^4,........
5, 25, 125, 625,........
third
2, 10, 18, 26,.....
which has the difference of 8
fourth
100, 90, 80, 70,......