The vertex and range of the given function is y = x + 1 + 3 is (0, 4); - (0, 4); 3 ≤ y ≤ ∞.
What is Domain and Range?The Domain of a function is the set of all possible values that a function satisfies.
The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we put an x value in.
Now the given function is,
y = (x + 1) + 3
or, y = x + 4
Now to find the y coordinate of vertex,
put x = 0 in the given function is,
Thus, we get
y = 4
So, the vertex of the given function is
y = x + 1 + 3 is (0, 4); - (0, 4).
Now for range,Put (x + 1) = 0 in the given function
Thus we get,
y ≤ ∞
and y ≥ 3
Thus the range of the given function will be,3 ≤ y ≤ ∞
Thus, the vertex and range of the given function is y = x + 1 + 3 is (0, 4); - (0, 4); 3 ≤ y ≤ ∞
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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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Need answer asap.......
Answer: For this one, I'll use y=mx+b because that equation make the most sense in this scenario.
A) X is the number of hours, and 15, or b is the tip
B) y= 30x + 15.
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Stay safe and healthy!
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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
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
(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
1/2 X+4=6, Solve for X
Answer:
x = 4
Step-by-step explanation:
1/2 x 4 = 2 + 4 = 6
Answer:
x = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
1/2x + 4 = 6
Step 2: Solve for x
Subtract 4 on both sides: 1/2x = 2Divide 1/2 on both sides: x = 4Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 1/2(4) + 4 = 6Multiply: 2 + 4 = 6Add: 6 = 6Here we see that 6 does indeed equal 6.
∴ x = 4 is the solution to the equation.
Find the average rate of change of g ( x ) = 7 x 2 + 8 x 3 on the interval [-3, 4].
The average rate of change of g ( x ) = 7 x 2 + 8 x 3 on the interval [-3, 4] is 111.
According to the given question.
We have a function g(x) = 7x^2 + 8x^3.
And a interval [-3, 4].
As we know that, the average rate of change of y over an interval between 2 points (a, f(a)) and (b, f(b)) is the slope of the secant line connecting the 2 points.
To calculate the average rate of change between the 2 points we use the formula
f(b) - f(a)/ b - a
Therefore, the average rate of change of g ( x ) = 7 x 2 + 8 x 3 on the interval [-3, 4] is given by
[7(4)^2 + 8(4)^3 - 7(-3)^(2) - 8(-3)^3]/4 + 3
= [112 + 512 - 63 + 216]/7
= 777/7
= 111
Hence, the average rate of change of g ( x ) = 7 x 2 + 8 x 3 on the interval [-3, 4] is 111.
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PLEASE HELP ASAP!!!!!
Are the lines y=3x-2 and y=5+3x parallel, perpendicular, or neither? How do you know?
Answer:
Parallel
Step-by-step explanation:
They're Parallel because whenever you graph them you see they never touch.
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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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
need help asap with this geomtry question!
Answer:
[tex]1-25[/tex]
Step-by-step explanation:
[tex]As\ we\ know\ that,\\The\ Sum\ of\ two\ sides\ of\ a\ triangle\ is\ always\ greater\ than\ the\ third\ side.\\Hence\ here,\\(10+14)>(x-2)\\24>x-2\\24+2>x-2+2\\26>x\\Or, x<26\\Hence,\\As\ x\ practically\ cannot\ be\ neither\ be\ negative, null nor\ 26,\ the range\ is\ from\ 1-25.\\[/tex]
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! :)
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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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
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
sole it please! 6th grade!
Answer:
this is answer .i solved it .i think it is correct
I really need help with this
The price of fuel may increase due to demand and decrease due to overproduction. Marco is studying the change in the price of two types of fuel, A and B, over time.
The price f(x), in dollars, of fuel A after x months is represented by the function below:
f(x) = 2.27(0.88)x
Part A: Is the price of fuel A increasing or decreasing and by what percentage per month? Justify your answer. (5 points)
Part B: The table below shows the price g(m), in dollars, of fuel B after m months:
m (number of months) 1 2 3 4
g(m) (price in dollars)3.44 3.30 3.17 3.04
Which type of fuel recorded a greater percentage change in price over the previous month? Justify your answer.
Answer:
A. decreasing 12% per month
B. fuel A recorded the greater change
Step-by-step explanation:
Given an equation and a table of values, you want to compare the rates of change each represents.
A.The fuel price is described by ...
f(x) = 2.27(0.88^x)
We recognize this exponential equation to be of the form ...
f(x) = (initial value) × (growth factor)^x
Comparing parts of the equation, we see ...
growth factor = 0.88
The relation between growth factor and growth rate is ...
growth factor = 1 + growth rate
growth rate = growth factor - 1 = 0.88 -1 = -0.12 = -12%
This tells us the rate of change in fuel price is -12% per month.
B.To find the percentage change, we can use the formula ...
percent change = ((new value) / (old value) -1) × 100%
Applied to the first two table values, we have ...
percent change = (3.30/3.44 -1) × 100% ≈ -4.07%
This decrease of 4.07% is less than the decrease of 12% represented by the equation. Type A fuel recorded the greater percentage change.
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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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Does the MVT apply? Explain why or why not.
y=-x^2/x-1 ; [-1,1]
Hi there!
[tex]\large\boxed{\text{No, it does not.}}[/tex]
[tex]y = \frac{x^{2} }{x-1}[/tex]
Looking at the equation, we can see that there is a discontinuity at x = 1 (Vertical Asymptote).
The interval given also includes x = 1 as an enclosed value.
Therefore, the MVT does not apply because the equation is not continuous on the interval [-1, 1].
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
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
help meeeeeeeeeeeeee
Answer: 36
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:
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
please answer this extreme hard question. WHAT IS 1+1
golly gee this is hard... um take the one put it in the box..? maybe 7?
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
If x=30827533.828277 and y=91036482828.54233 and z= 64699225.9172, what is x times z divided by (x times y)?
9514 1404 393
Answer:
≈ 0.0007106955794750354
Step-by-step explanation:
(xz)/(xy) = z/y = 6469922591720 / 9103648282854233
≈ 0.0007106955794750354 . . . . rounded to 16 significant figures
__
The result will be a repeating decimal fraction with a very long repeat. It may be longer than 70 billion digits.
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 answer to Y=30x+25
Answer:
x=1/30y + -5/6
Step-by-step explanation:
someone hurry and help plsss
Answer:
-3 is the answer for the question