Using the graph, determine the coordinates of the roots of the parabola.
-6
-7
-4
-5
-3
-2
-10-9-8
-1
3
6
4
8
-1
Answer:
(1,0) (5,0)
Step-by-step explanation:
roots of a parabola are the x intercepts
Find an equation of the line that passes through ( -3,-10) and (7,-8). You do not need to simplify
The equation of line that passes through the given points is x-5y=47.
Given that the line that passes through ( -3,-10) and (7,-8).
The standard form of the line equation is ax+by+c = 0. Here a, b are the coefficients, x, y are the variables and c are the constant terms. It is a quadratic equation, of the variables x and y. The values of x and y represent the coordinates of the point on the line in the coordinate plane.
Firstly, we will find the slope of equation of line by using the given points.
(x₁,y₁)=(-3,-10) and (x₂,y₂)=(7,-8).
m=(y₂-y₁)/(x₂-x₁)
Now, we substitute the values, we get
m=(-8-(-10))/(7-(-3))
m=(-8+10)/(7+3)
m=2/10
m=1/5
Further, we will find the equation of line using the formula y-y₁=m(x-x₁).
Now, we will substitute the values , we get
y-(-10)=(1/5)(x-(-3))
y+10=(1/5)(x+3)
Further, we will multiply both sides by 5, we get
5(y+10)=x+3
5y+50=x+3
5y+50-50=x+3-50
5y=x-47
x-5y=47
Hence, the equation of line that passes through ( -3,-10) and (7,-8) is x-5y=47.
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Determine whether the lines are parallel, perpendicular, or neither. Justify your answer. y = 2x - 8
Y = 1/2x + 6
⚠️if you answer correctly I will give you brainliest
Answer:
perpendicular
Step-by-step explanation:
it is perpendicular because you flipped and negative the slope. if it was parallel the slope would be the same with no negative
Order the side lengths EF, FG, and GE from least to greatest,
(Note that the figure is not drawn to scale.)
A
44
Answer:
Angle g=76 degrees
the order i would say is EF,GE,FG
tell what you get
You're welcome
Step-by-step explanation:
Triangle equal 180 degrees so 180-60-44=76
so last angle is 76 degrees
What is the unit rate of a line that goes through the points (3,1)?
Answer:
2?
Step-by-step explanation:
maybe 2 is in between 1 and 3
Decide which of the two given prices is the better deal and explain why.
You can buy shampoo in a 6-ounce bottle for $3.49 or in a 15-ounce bottle for $9.59.
Round to the Nearest cent as needed.
I got $1.72 (rounded) per ounce for the 6-ounce bottle and $1.56 per ounce for the 15-ounce bottle, and answered that the 15-ounce bottle was the better deal, but it still says my answer is incorrect
Answer:
6-ounce bottle for $3.49 because its
.58 per ounce
3.49 divided by 6 = .58
Step-by-step explanation:
9.59 divided by 14 is .69 per ounce
chegg
What is the value of p
3/5 + 1/5(40 - p) = 0
Answer:
Answer is -43
Step-by-step explanation:
1/5(40-p)= -3/5
40-p = (-3/5)/(1/5)
40-p = -3
-p = - 43
p = 43
The Wind Up Corp computed their monthly expense equation as E=3.2q+56,000.
Its products will be sold to retailers at a wholesale price of $9 each.
If 18,403 units are sold, how much is the profit or loss?
NOTE.... PLEASE ONLY GIVE A POSITIVE ANSWER HERE!
The amount of the profit will be $50,738.
What is a profit?A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running, or creating anything.
The profit is given as,
Profit = Selling price - Cost price
The Wind Up Corp computed their monthly expense equation is given below.
E = 3.2q + 56,000
Its products will be sold to retailers at a wholesale price of $9 each. If 18,403 units are sold. Then the expense will be
E = 3.2 x 18403 + 56000
E = $114,889
Then the selling price will be
S = 9 x 18403
S = 165,627
Then the amount of the profit will be
P = 165,627 - 114,889
P = $50,738
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how you find 5/3 as classify numbers
5/3 is a irrational number cause it simplified is 1 2/3 which in decimal form is 1.6666 infinite to determine if a fraction is a irrational or rational number put it in decimal form
if this helped Brainliest me on this answer
A hotel rents 240 240 rooms at a rate of $ 40 $40 per day. For each $ 2 $2 increase in the rate, four fewer rooms are rented. Find the room rate that maximizes daily revenue. The rate that maximizes revenue is $
Answer:
The daily rate that maximizes the revenue is $40 and the maximum revenue is $9600
Step-by-step explanation:
Given
[tex]Rooms = 240[/tex]
[tex]Price= \$40[/tex]
[tex]Increment = \$2[/tex]
First, we calculate the revenue.
[tex]Revenue (r) = Price (p) * Number\ of\ Rooms(n)[/tex]
[tex]r = p*n[/tex]
Let x be the change in rate.
i.e.
For every 2x increment in price (p) i.e. p + 2x
There will be 4 fewer rooms (n) i.e. n - 4x
So, the revenue is updated as:
[tex]r = (p + 2x) * (n - 4x)[/tex]
[tex]Price = 40[/tex]
So:
[tex]r = (40 + 2x) * (n - 4x)[/tex]
[tex]Rooms = 240[/tex]
So:
[tex]r = (40 + 2x) * (240 - 4x)[/tex]
Expand
[tex]r = 40 * 240 - 40 * 4x + 2x * 240 - 2x*4x[/tex]
[tex]r = 9600 - 160x + 480x - 8x^2[/tex]
Reorder
[tex]r = -8x^2 - 160x + 480x + 9600[/tex]
[tex]r = -8x^2 +320x + 9600[/tex]
The maximum of a function is calculated as:
[tex]Max = -\frac{b}{2a}[/tex]
In: [tex]r = -8x^2 +320x + 9600[/tex]
[tex]a = -8[/tex] [tex]b = 320[/tex] [tex]c = 9600[/tex]
So:
[tex]Max = -\frac{b}{2a}[/tex]
[tex]Max = -\frac{320}{-8}[/tex]
[tex]Max = \frac{320}{8}[/tex]
[tex]Max = 40[/tex]
To get the maximum revenue;
Substitute 40 for x in [tex]r = -8x^2 +320x + 9600[/tex]
[tex]r = -8(40)^2 + 320 * 40 + 9600[/tex]
[tex]r = 9600[/tex]
The daily rate that maximizes the revenue is $40 and the maximum revenue is $9600
help meeeeeeeeeeeeee
Answer: 36
Step-by-step explanation:
Y
4
3+
2+
1+
30
-4
-3-2
-1
1
2
CO
3
4
-1+
-2+
-3
-4-
41
What is the slope of the line?
Answer:
1
Step-by-step explanation:
Using two points on the line, (0, -3) and (3, 0),
[tex] Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Let,
[tex] (0, -3) = (x_1, y_1) [/tex]
[tex] (3, 0) = (x_2, y_2) [/tex]
Plug in the values
[tex] Slope (m) = \frac{0 -(-3)}{3 - 0} = \frac{3}{3} = 1 [/tex]
Slope = 1
someone hurry and help plsss
Answer:
-3 is the answer for the question
the variable y varies directly as x. when x=20, y=12. what is the value of y when x=15?
Answer:
9
Step-by-step explanation:
The value of y at x =15 is 9.
What is Direct Variation?Two variables are said to be in Direct Variation when increasing one variable the other also increases.
The direct variation is represented by
y ∝ x
y = kx
where k is the proportionality constant
the value of y =12 , x = 20
12 = k * 20
12/20 = k
k = 0.6
The equation becomes
y = 0.6 x
The value of y at x = 15 is
y = 0.6 * 15
y =9
Therefore, the value of y at x =15 is 9.
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sole it please! 6th grade!
Answer:
this is answer .i solved it .i think it is correct
What is the answer to Y=30x+25
Answer:
x=1/30y + -5/6
Step-by-step explanation:
Communicating
about Mathematics-
How can defining your variables when writing a system of equations help you determine the
answer to the question being asked?
Answer:
maths
Step-by-step explanation:
WILL GIVE U BRAINLIEST
Question
What is the turning point of the graph of f(x)=|x−2|+3?
(2, 3)
(−3, 2)
(3, 2)
(2, −3)
The absolute function is having its turning point at the coordinate ( 2,3).
It is required to find the turning point of the graph .
What is Absolute value?Absolute value describes the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.
Given:
The absolute function is
f(x) = |x-2| +3.
We have to find the turning point of the graph of f(x)=|x−2|+3.
According to given question we have,
When we plot the graph of the absolute function f(x) = |x-2| +3 it will give two straight lines the first line is on the left side and the second line is on the right side. The graph of the function changes its position at the coordinate ( 2,3).
Therefore, the absolute function is having its turning point at the coordinate ( 2,3).
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I need help with this math question
Answer:
D. 6 1/12
Step-by-step explanation:
3 2/3 + 1 3/4 + 2/3
= 3 8/12 + 1 9/12 + 8/12
= 3 + 1 + (8/12 + 9/12 + 8/12)
= 4 + (25/12)
= 4 + (24/12 + 1/12)
= 4 + 2 1/12
= 6 1/12
Least to greatest
-5 -5 12/15 5 28/40
The ranking of the given numbers from least to greatest is;
5, 5²⁸/₄₀, 5⁴/₅
How to rank numbers from least to greatest?
We are given the numbers as;
5, 5¹²/₁₅, 5²⁸/₄₀
Now, let us breakdown the mixed fractions for easier comparison with all numbers;
5¹²/₁₅ can be broken down into 5⁴/₅
For the second mixed fraction which is 5²⁸/₄₀;
5²⁸/₄₀ can be broken down into 5⁷/₁₀
Now, 7/10 is lesser than 4/5 and so 5⁴/₅ is greater than 5²⁸/₄₀. Thus, ranking of all numbers from least to greatest is; 5, 5²⁸/₄₀, 5⁴/₅
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Cesar made an art sculpture composed of 1,240 craft sticks and 240 pieces of balsa wood. What is the ratio of craft sticks to
balsa wood? Simplify your answer.
please help
Answer:
31 : 6, 31 craft sticks to 6 balsa wood
Step-by-step explanation:
Make 1240 and 240 into a fraction
[tex] \frac{1240}{240} [/tex]
Divide 1240 and 240 by 10
1240 ÷ 10
= 124
240 ÷ 10
= 24
[tex] \frac{124}{24} [/tex]
Divide 124 and 24 by 4
124 ÷ 4
= 31
24 ÷ 4
= 6
[tex] \frac{31}{6} [/tex]
This can be written as 31 : 6, 31 craft sticks to 6 balsa wood in addition to the fraction.
Have a lovely rest of your day! :)
24 € (17, 19, 21,..., 35)
Is it true or false
Answer:
true
Step-by-step explanation:
Jacob has a coin and a spinner with 3 equal sections, one colored red, one colored blue, and one colored green. Which tree diagram best represents all possible outcomes of Jacob spins the spinner once and flips the coin once?
Answer:5y
Step-by-step explanation:
67
Hey how you have a good day !! XD
(Please need help )Cedrick traded his Halloween candy with his friends. He likes Snickers as his favorite
candy. If Cedrick had 32 pieces of candy, and after trading with his friends, came home
with 28 Snickers. What percent of his candy consists of Snickers?
Answer:
87.5%
Step-by-step explanation:
28/32=0.875
0.875*100= 87.5
87.5% of 32 = 28
find the value of this expression if x=6 and y=5
xy/7
Answer:
4 2/7
Hope this helps and have a nice day!!
What is the standard form equation of the line shown below?
Answer:
y = -0.25x + 4.5
Step-by-step explanation:
hope this helps :D pls mark brainliest :D
semejanza y congruencia
Answer:
English pls
Step-by-step explanation:
Given: AOB is a right angle
Prove: mBOC = 90°
O
B
Since
AOB is a right angle, it is 90°. AOB is supplementary to BOC,
so m AOB + m BOC = 180°. By the substitution property of equality,
90 + m BOC = 180°. Applying the subtraction property of equality,
m BOC = 90%.
What statement is missing from the proof?
The missing piece of information in the proof is that m∠DOA and m∠BOC are vertical opposite angles.
How to find vertically opposite angles?We want to prove that m∠BOC = 90°.
We are given that m∠AOB is a right angle triangle. Thus;
m∠BOC must also be equal to 90°
Now, since m∠BOC and m∠AOB are right angles, then it means that we must equally say that m∠DOA and m∠BOC are vertical opposite angles and they are as such equal.
Thus, the missing piece of information in the proof is that m∠DOA and m∠BOC are vertical opposite angles.
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A pack of batteries that come in a 48 count are $24.98 what is the unit price of just one battery?
Answer A pack of batteries that come in a 48 count are $24.98 what is the unit price of just one battery is $0.50
A helicopter hovers 40 feet in the air then the helicopter rises at 21 feet per second what is the helicopters height after 45 seconds
Answer:
its 985 ft :]
Step-by-step explanation:
Answer:
it is 985 ft
Step-by-step explanation:
I used a calculator