The axis of the symmetry will be shifted 2 units to the right.
What is Parabola?A parabola is a two dimensional figure on a plane which is U shaped and any point on the parabola is at an equal distance from a fixed point called focus and a fixed line called directrix.
The axis of symmetry of a parabola is the line which passes through the vertex of the parabola and divides the parabola in to two equal halves.
If the parabola is opening upward, then the axis of symmetry will be a vertical line passing through x = h, where h is the x coordinate of the vertex.
When the parabola is shifted 2 units to the right, then the x coordinate of the vertex changes to h + 2.
So the new axis of symmetry will be x = h + 2.
So the axis of symmetry is shifted 2 units to the right.
There will be no effect that the parabola moves 3 units down. The axis of symmetry will be the same.
Hence the axis of the symmetry will be shifted 2 units to the right.
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10 - 5(x - 1) what is the answer to this ?
Answer:
15 - 5x
Step-by-step explanation:
10 - 5(x - 1)
Multiply 5 by x and 1 using the distributive property.
10 - 5x + 5
Add like units. 10 + 5 = 15
15 - 5x is your final answer.
Match the graphs
Undefined
Positive
Negative
Zero
Answer:
This is what I got
Step-by-step explanation:
1. Is decreasing so therefore is negative
2. Is undefined, Changed but is neither negative or positive
3. Is zero because it just stays the same
4. Is increasing therefore is positive
Solve 3(x - 7) = 33
Answer:
18
Step-by-step explanation:
you have to do the inverse so first you need to do 33/3=11 then because it says -7 you add 7 to 11 which is 18.
i hope this helps
The value of 'x' in the given linear equation is 4.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, 'x' is a variable, 'A' is a coefficient and 'B' is constant."
Given liner equation is:
3(x - 7) = 33
⇒ 3x - 21 = 33
⇒ 3x = 33 - 21
⇒ 3x = 12
⇒ x = 4
Therefore, the value of 'x' is 4.
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A group of friends paid $7 each to play
a round of golf. It also cost $12 to rent
a golf cart. As a group, they paid $33
altogether. Determine the number of
friends that played golf.
#10
G8 YU
Answer:
3 friends played golf.
Step-by-step explanation:
5. Solve this system of equations. 3x + 4y = 36 y = -x +8.
please help meee3333............
Answer:
x = -4 and y = 12
Step-by-step explanation:
Since you have y = -x + 8 you can substitute this into the first equation where y was so you have 3x + 4(-x + 8) = 36.
That way, there is only one variable and it is easier to solve.
3x + 4(-x + 8) = 36
3x -4x + 32 = 36
-x +32 = 36
-x = 4
x = -4
Plugging this into the equation y = -x +8,
y = -(-4) + 8
y = 4 + 8
y = 12
what is the equation of this line?
Answer:
Y=4
Step-by-step explanation:
The line is horizontal, which means that variable would be 4. The line starts at 4, which mean the equivalent of the variable is 4.
which numbers in the list are less than -0.94?
Answer:
The answer is B
The numbers -2.23 [tex]-2\frac{2}{5}[/tex], and -0.95 are numbers that are less than -0.94 option (B) is correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have a number list:
-15/16, 0.24, -2.23, 97%, [tex]-2\frac{2}{5}[/tex], -0.95
We can write these numbers such as:
-0.9375, 0.24, -2.23, 0.97, -2.4, -0.95
Now comparing the each number with -0.94
-0.9375 > -0.94
0.24 > -0.94
-2.23 < -0.94
0.97 > -0.94
[tex]-2\frac{2}{5}[/tex] or -2.4 < -0.94
-0.95 < -0.94
Thus, the numbers -2.23 [tex]-2\frac{2}{5}[/tex], and -0.95 are numbers that are less than -0.94 option (B) is correct.
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24 POINTS lots of points PLEASE Answer the following correctly please need help
question is in the picture
Answer:
4 quizzes are taken per week
Step-by-step explanation:
12/3=4
20/5=4
CRM 3.1 - Lesson 6
Angle Relationships and Measures
Directions: Using the diagram provided, answer the questions below.
1. What is the relationship between m_1 and m23?
2. If mz1 = 120°, find m23
2.
3
3. What is the relationship between mzl and m24?
4. If m_4 = 65°, find m21
Using Angles Relationships to Solve Problems
Math
Answer:
How might an author's point of view be related to his or her purpose?
Step-by-step explanation:
9.
Brian says that ABCD is a right triangle. Is he correct? Explain.
B
17 m
13.5 m
21.7 m
Answer:
sorry but can u give me full question
Step-by-step explanation:
like picture
PLEASE HELP, I WILL GIVE BRAINLIEST AND 100 POINTS
Generate the first five terms of each sequence.
n^2
Answer:
a) [tex]f(n) = n^{2}[/tex]
[tex]f(1) = 1[/tex], [tex]f(2) = 4[/tex], [tex]f(3) = 9[/tex], [tex]f(4) = 16[/tex], [tex]f(5) = 25[/tex]
b) [tex]f(n) = n^{3}[/tex]
[tex]f(1) = 1[/tex], [tex]f(2) = 8[/tex], [tex]f(3) = 27[/tex], [tex]f(4) = 64[/tex], [tex]f(5) = 125[/tex]
c) [tex]f(n) = n^{2}+n^{3}[/tex]
[tex]f(1) = 2[/tex], [tex]f(2) = 12[/tex], [tex]f(3) = 36[/tex], [tex]f(4) = 80[/tex], [tex]f(5) = 150[/tex]
Step-by-step explanation:
This formulas uses only natural numbers, which means that [tex]n \ge 1[/tex]. Then, we evaluate each function at 1, 2, 3, 4 and 5:
a) [tex]f(n) = n^{2}[/tex]
[tex]f(1) = 1[/tex], [tex]f(2) = 4[/tex], [tex]f(3) = 9[/tex], [tex]f(4) = 16[/tex], [tex]f(5) = 25[/tex]
b) [tex]f(n) = n^{3}[/tex]
[tex]f(1) = 1[/tex], [tex]f(2) = 8[/tex], [tex]f(3) = 27[/tex], [tex]f(4) = 64[/tex], [tex]f(5) = 125[/tex]
c) [tex]f(n) = n^{2}+n^{3}[/tex]
In which each element is the sum of respective results found in a) and b).
[tex]f(1) = 2[/tex], [tex]f(2) = 12[/tex], [tex]f(3) = 36[/tex], [tex]f(4) = 80[/tex], [tex]f(5) = 150[/tex]
Please help me!
15. What is the amplitude of the wave in the diagram? What is the wavelength?
Express the ratio 3:9 in its simplest form.
Answer:
1:3 I think
Step-by-step explanation:
3/3=1
9/3=3
Answer:
3/9 = 1/3
Step-by-step explanation:
simplifying
QUICKK
Solve systems by substitution Find the solution
SHOW ALL WORK
y = -2
2x + 2y = 4
( , )
The expression 7n-8n-5+n+2-1 can be simplified to:
Answer:
It can be simplified to: -4
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
combine like terms 8n-8n-6+2
8n-8n=0 so
-6+2=-4
which calculation be used to find the value of p in the equation p^3=8?
Answer:
2
Step-by-step explanation:
The number of employees for a certain company has been decreasing each year by 5%. If the company currently has 900 employees and this rate continues find the number of employees in 17 years
Answer:
2062 employees
Step-by-step explanation:
Basically, you have an exponential function going on here. If you start with 900 employees and add 5 percent to the amount of employees (multiply by 1.005) seventeen times, you will get the equation [tex]E=900*1.05^{17}[/tex]. If we round down (because there can not be a fraction of an employee), there will be 2062 employees after 17 years.
Can you please help me answer this picture
Solve each system of equations using substitution
I did the first question as reference. Pretty simple once you get it!
Help please due in 5 minutes
Answer:
a
Step-by-step explanation:
Answer:
It b.
Step-by-step explanation:
You can use demos for this (graphing calculator. :)
RECEIVE 50 POINTS FOR THIS!!!!!!!!!! EASY QUESTION
1- I have three times as many cats as Alice but Bob has 7 less cats than me. In total we have 56 cats. How many cats do I have?
Answer:
27
Step-by-step explanation:
Look at the pic plsssssss
Answer:
I can't see it
Step-by-step explanation:
you should zoom in a little bit please
I’ll mark you brainlist please help
Answer:
The x is the domain and the y is the range. It's still a function
Step-by-step explanation:
1
28:34
Which of the following is most likely missing from your financial plan if you are not prepared for an emergency?
a financing
b. a budget
c. investments
d. savings
Please select the best answer from the choices provided
Ο Α
ОВ
0 С
Mark this and return
Save and Exit
Next
Submit
Answer:
Step-by-step explanation:
investment
Given that x^2 - y^2 = 45 and x + y = 9, find the values of x and y.
Answer:
x = 7
y = 2
Step-by-step explanation:
x² - y² = 45
(x+y) (x-y) = 45
x + y = 9 (known)
9 x (x-y) = 45
x - y = 5
y = x-5
x + (x - 5) = 9 (substitute)
2x = 14
x = 7
y = 2
Which measurements are necessary for determining both the speed and
velocity of a moving object?
A. Distance, time, and direction
B. Direction, displacement, and distance
C. Distance, direction, and acceleration
D. Direction, time, acceleration
Answer:
b i am pretty sure
Step-by-step explanation:
Direction, displacement, and distance are the measurements are necessary for determining both the speed and velocity of a moving object
What is Speed?Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement.
The measurements which are necessary for determining both the speed and velocity of a moving object.
Speed=Distance/Time
To calculate speed we need to know the distance and time.
Velocity is the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference
Velocity=Displacement / Time
Hence Direction, displacement, and distance are the measurements are necessary for determining both the speed and velocity of a moving object
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A stone is thrown straight down from a tall building. The relation h = 150 - 5t - 5t^2
approximates its path, with h in metres and t in seconds.
a) How tall is the building?
b) Factor the right side of the equation fully.
c) When does the stone hit the ground?
Answer:
a) The building is 150 m tall
b) h(t)=-5(t+6)(t-5)
c) The stone hits the ground at 5 seconds.
Step-by-step explanation:
Function Models
The path of a stone thrown down from a tall building is modeled by the function:
[tex]h(t)=150-5t-5t^2[/tex]
Where h is the height in meters and t is the time in seconds after the stone is thrown.
a) To find the height of the building, we set t=0 because it's the moment when the stone is thrown and has the same height as the building:
[tex]h(0)=150-5*0-5*0^2[/tex]
[tex]h(0)=150[/tex]
The building is 150 m tall
b) The function is
[tex]h(t)=150-5t-5t^2[/tex]
Factoring out -5:
[tex]h(t)=-5(-30+t+t^2)[/tex]
Rearranging:
[tex]h(t)=-5(t^2+t-30)[/tex]
To factor the polynomial in parentheses, we must find two numbers whose product is -30 and sum is 1. We can also use the quadratic formula to find the roots and factor later.
These numbers are 6 and -5, thus the function is:
[tex]h(t)=-5(t+6)(t-5)[/tex]
c) The stone hits the ground when h=0:
[tex]-5(t+6)(t-5)=0[/tex]
The equation has two solutions:
t = -6
t = 5
The only feasible solution is t = 5, thus the stone hits the ground at 5 seconds.
which number will make the fractions equal? 3/10 = 30/?
A) 1
B) 10
C) 100
D) 1000
Answer:
c) 100
Step-by-step explanation:
Pls help if u can ! For brainly
Answer:
5/8
Step-by-step explanation:
1/4+3/8=5/8
Solve plzzzzzz i need help
3p-4=14
Answer:
p = 6
Step-by-step explanation:
3p - 4 = 14 / +4
3p = 18 / ÷ 3
p = 6