First you use the formula (-b/2a) to find the axis of symmetry(or the x value) and then you plug that into the equation to find the y value.
a = 2
b= -16
16/2(2)=16/4=4
(4, x ) so we have the x-value and now we plug 4 into the original equation
y=2(4)^2-16(4)+8
y=2(16)-64+8
y=32-64+8
y=-24
So the vertex is at (4,-24)
A retiree invests 3,000 in a savings plan that pays 3% per year what will the account balance at the end of the first year
3000*.03= 90 so your balance would be 3000+90=$3090
list all the number sets to which 2/3 belongs
2/3 belongs to a set of
* Rational numbers
* Real numbers
* Complex numbers
all at the same time
Is this all right because my homework is tomorrow
Yeah, its all correct
It's all correct, but I'm not really sure about the drawing part because I can't see it all, although I think you did a great job :)
The Turner family and the James family each used their sprinklers last summer. The water output rate for the Turner family's sprinkler was
25L
per hour. The water output rate for the James family's sprinkler was
15L
per hour. The families used their sprinklers for a combined total of
75
hours, resulting in a total water output of
1475K
. How long was each sprinkler used?
Identify a pair of alternate exterior angles.
Answer: 1 ,5 and 2,6 (D is the correct answer)
Find the value of x using the given information. Then find the measure of
Solve for b2: A=1/2(b1+b2)h
[tex]b_{2}[/tex] = [tex]\frac{2A}{h}[/tex] - [tex]b_{1}[/tex]
multiply both sides by 2 to eliminate the fraction
([tex]b_{1}[/tex] + [tex]b_{2}[/tex] )h = 2A
divide both sides by h
[tex]b_{1}[/tex] + [tex]b_{2}[/tex] = [tex]\frac{2A}{h}[/tex]
subtract [tex]b_{1}[/tex] from both sides
[tex]b_{2}[/tex] = [tex]\frac{2A}{h}[/tex] - [tex]b_{1}[/tex]
Which function has a domain of all real numbers except x=pi/2+_npi?
A. Y=cos x
B. Y=cot x
C. Y= 1/sinx
D. Y=sec x
The answer would be D. Y=secx
Hope this helps and good luck!
Find the missing number to complete this division fact. 63 ÷ ∎ = 9
[tex]( {x}^{3} + {x}^{2} + x + 2) \div ({x}^{2} - 1)[/tex]
[tex](x^3+x^2+x+2) divide by (x^2-1)[/tex]
We use long division to divide
There is no x term in x^2 -1 so we put 0x
x + 1
----------------------------
x^2+0x-1 x^3+ x^2 + x+ 2
x^3+0x^2-x
-----------------------------(subtract the bottom from top)
x^2 +2x + 2
x^2 +0x - 1
--------------------------------(subtract the bottom from top)
2x + 3
-----------------------------------------
Quotient : x+1
Remainder : 2x+3
Subtract. 405,000,000-1.7×10^8
405,000,000 - 1.7×10^8
= 4.05 × 10^8 - 1.7 × 10^8
= (4.05 - 1.7) × 10^8
= 2.35 × 10^8
Hope it helps
Please answer quickly thanks
What’s -3r=1/2(32-8r)
It is safe to assume the goal is to solve for 'r'. To do so we need to isolate 'r'.
[tex]-3r = 1/2(32-8r)\\\\-3r = 16-4r\\\\r = 16[/tex]
The transformation of triangle abc is an example of what
Final answer:
The transformation of triangle ABC is an example of a linear transformation that preserves lines and parallelism.
Explanation:
The transformation of triangle ABC is an example of a linear transformation.
A linear transformation is a transformation that preserves lines and parallelism. It transforms lines into lines and takes parallel lines to parallel lines.
For example, if triangle ABC is transformed into triangle A'B'C', the corresponding sides of the triangles will be parallel. Additionally, any lines within the triangle will remain lines after the transformation.
Ms. Lynch has 21 coins in nickels and dimes. Their total value is $1. 65. How many of each coin does she have? Please answer!!
Hi, there
Question:Ms. Lynch has 21 coins in nickels and dimes. Their total value is $1. 65. How many of each coin does she have?
Explanation:
1.65 x 21
Answer 34.65
Hi!
Ms. Lynch has 21 coins in nickels and dimes. Their total value is $1. 65. How many of each coin does she have?
12 x 0.1 = 1.2
9 x 0.05 = 0.45
1.2 + 0.45 = $1.65
Answer:
She has 12 Dimes and 9 Nickels!
An architect notices that the scale on a blueprint he is using has been torn off. However, he sees that a 12.5-ft. wall that has been built is 5 in. long on the blueprint. What is the scale for this blueprint?
Answer:
The scale is : 1 in : 2.5 ft
Step-by-step explanation:
An architect notices that the scale on a blueprint he is using has been torn off.
However, he sees that a 12.5-ft. wall that has been built is 5 in. long on the blueprint.
Let the scale be x
[tex]\frac{5}{12.5} =\frac{1}{x}[/tex]
So, scale = [tex]x=\frac{12.5}{5}[/tex] = 2.5
So, the answer is : 1 in : 2.5 ft
Answer:
The scale is : 1 in : 2.5 ft
Step-by-step explanation:
pls make me brainliest
The boat travels x miles per hour from one island to another island in 2.5 hours. The boat travels 5 miles per hour faster on the return trip of 2 hours. What is the distance between the island?
What is the difference ? X/x^2-2x-15-4/x^2+2x-35
x / x² - 2x - 15 - 4 / x² + 2x - 35
FIND THE FACTOR OF EACH DENOMINATOR
= x / (x-5)(x+3)
- 4 / (x-5) (x+7)
FIND THE LCD AND MULTIPLY EACH TERM TO ARRIVE AT THE SAME DENOMINATOR.
= x / (x-5)(x+3) *
(x+7) / (x+7) - 4 / (x-5) (x+7) * (x+3)/(x+3)
PERFORM SUBTRACTION
= x2 + 7x / (x-5) (x+3) (x+7) - (4x + 12) / (x-5) (x+7) (x+3)
= x2 + 7x – 4x – 12 / (x-5) (x+3) (x+7)
this would be your answer = x² + 3x – 12 / (x-5) (x+3) (x+7)
Answer:D
Step-by-step explanation: I just did it on edge
convert 4 3/4 to an improper fraction:
to a decimal:
is this repeating or terminating a decimal?
4 3/4= 19/4=4.75 its a terminating decimal
the length of a rectangle is 4 in. greater than the width. the perimeter of the rectangle is 24 in. find the dimensions of the rectangle
The width is 8 in.The lenth is 4 in.
An animal shelter currently only has 30 dogs and 20 Cats. What is the ratio cats to animals?
Answer: 3:2
Step-by-step explanation:
Given : An animal shelter currently only has 30 dogs and 20 Cats.
i.e. Number of dogs = 30
Number of cats = 20
Then, the ratio of cats to animals is given by :-
[tex]\dfrac{\text{Number of cats}}{\text{Number of animals}}\\\\=\dfrac{30}{20}\\\\=\dfrac{3}{2} \ \ \text{[By dividing 10 in the numerator and denominator]}[/tex]
Therefore, the ratio of cats to animals = 3:2
What is the solution to the inequality?
-2/3 (2x - 1/2)<= 1/5x - 1
I hope this is the answer you're looking for!
(8,15) (-14,-3)
find the slope
The slope is 9/11 because if you use the formula (change in y)/(change in x), you would get -18/-22 and then if it were to be simplified, it would be 9/11
Peter went bowling, Monday to Friday, two weeks in a row. He only bowled one game each time he went. He kept track of his scores below.
An item that is normally sells for $130 is marked down 30%. What is the sale price
To find the sale price of an item that is normally $130 with a 30% markdown, calculate the discount amount ($39) and subtract it from the original price to get a sale price of $91.
The question asks to calculate the sale price of an item after a 30% markdown. To determine the sale price, you have to first calculate the discount amount and then subtract it from the original price of the item. Here's how you do it:
Find the discount amount: original price x discount rate.Subtract the discount amount from the original price to get the sale price.For an item that is normally sold for $130 and is marked down 30%, the sale price can be calculated as follows:
Discount amount: $130 x 0.30 = $39.Sale price: $130 - $39 = $91.Algebraic expressions for five less three times the length L
write and solve an equation to find the missing value:
What is the length of the hypotenuse of the triangle? 26 ft 34 ft 68 ft 74 ft
Answer: 26 ft.
Step-by-step explanation:
In the given picture, there is a right triangle.
The legs of the right triangles are 10 ft and 24 ft.
To find the length of hypotenuse, we use Pythagoras theorem, we get
[tex]H^2=10^2+24^2\\\\\Rightarrow\ H^2=100+576\\\\\Rightarrow\ H^2=676\\\\\Rightarrow\ H=\sqrt{676}\\\\\Rightarrow\ H=26\ ft[/tex]
Hence, the length of the hypotenuse = 26 ft.
Pythagoras theorem says that the square of the hypotenuseis equal to the sum of the squares of the other two sides.Daniel is a singer, and he promises his agent that he will give him a 25% commission based on what he makes from a show. After paying the agent, Daniel takes home $120. Use the diagram to answer the following questions.
Daniel’s agent made .
Daniel and the agent made a total of from the show.
Answer:
Daniels agent made $40.
Daniel and the agent made a total of $160 from the show.
Step-by-step explanation:
Given:
Let the total amount made from the show = x
Daniel's agent made = 25% of x
Daniel made = $120
From the question, we know that the total amount is the sume of what daniel and the agent took.
So,
x = 120 + 25% of x
x-0.25x = 120
0.75x = 120
x = 160.
Hence the total amount made from the show is $120.
Daniel's agent made = 25 % of 160
= 0.25*160
= 40
Hence, Daniel's agent made $40 from the show.
Answer:
40
160
Step-by-step explanation:
Write an equation for :
She would put 1000.00 a year into an account starting on the babys 1st birthday
Hello Azzizigilchrist.
The equation of this question would be $1000x
x stands for the amount of years it has been
So if it has been 4 years, 1000 * 4 equals 4000
:)