Answer: 1/10
Step-by-step explanation:
The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?
g(x) = (x – 2)2 + k
g(x) = (x + 8)2 + k
g(x) = (x – h)2 – 5
g(x) = (x – h)2 – 15
If the axis of symmetry for g(x) is located 2 units to the right of the origin, then the function g(x) = (x-2)2 +k describes this relationship. The best choice would be A in this case.
What exactly is a function?The function is a statement, rule, or law that specifies the connection between one variable and another variable. It does this by comparing and contrasting the two variables.
Functions may be found almost everywhere, and creating links between physical objects requires their use.
Given
The answer to the question f(x) is.
(x+3)^2 -10
The left side by three units serves as the axis of symmetry for the function f(x).
The axis of symmetry for g(x) may be found five units to the right of where f is located (x).
If this is the case, the axis of symmetry for g(x) will be found 2 units to the right of the origin.
After that, the expression for g(x) will be g(x) = (x-2)2 +k.
Therefore, option A is the one to choose.
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A region’s average movie theater ticket price in 2007 was $6.51. For 2017, it was estimated to be $8.57. Find the percent of increase in average movie theater ticket price
If a region’s average movie theater ticket price in 2007 was $6.51. For 2017, it was estimated to be $8.57, the percent of increase in average movie theater ticket price is 16%
A region's average movie ticket price in 2007 was $6. 51
A region's average movie ticket price in 2017 was $8. 57
Increase in price = 8.57 - 6. 51 = $1.06
Percentage of increase = (increase in price / original price)*100
= (1.06/6.51)*100
16%
If a region’s average movie theater ticket price in 2007 was $6.51. For 2017, it was estimated to be $8.57, the percent of increase in average movie theater ticket price is 16%
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four times the square of a number increased by five times the same number
Answer:
4n^2 + 5n.
Step-by-step explanation:
If the number is n, then:
4n^2 + 5n.
arrange the following in ascending order 1/3 , 3/4 , 5/12 ,2/8
The ascending order is: 2/8 < 1/3 < 5/12 < 3/4.
What is termed as the ascending order?The configuration of numbers or even other items in order of increasing from smallest to largest is referred to as ascending order. Ascending order is represented by numbers that show up on a number line from left to right. We generally represent it with commas or by using the 'less-than symbol (<)' between numbers. For instance, 1, 2, 3, 4, 5 or 1 < 2 < 3 < 4 < 5.The given order is;
1/3 , 3/4 , 5/12 ,2/8
Write the values in the decimal forms;
0.33, 0.75, 0.416, 0.25.
Now arrange the sequence is the ascending order;
0.25, 0.33, 0.416, 0.75
Again transform them in fraction form;
2/8 < 1/3 < 5/12 < 3/4
Thus, the ascending order is found as 2/8, 1/3, 5/12, 3/4.
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Find a linear function h, given h(7
)equalsnegative 10
and h(negative 2
)equals8.
Then find h(3
)
The linear function of h is h(x) = -2x -13 and the values of h(3) = -19.
Two point form is a method for finding the equation of a function if two of its points are known. If (x1, y1) and (x2, y2) are the two points then equation of the function is given as-
(y - y1) = {(y1 - y2)/ (x1 - x2)} (x - x1)
Here, we are given that h(7) = -10 and h(-2) = 8
This, means that (7, -10) and (-2, 8) will satisfy the given function
Since, we have two points, we will use the two point form to find the equation of function h.
Substituting, x1 = 7, y1 = -10, x2 = -2 and y2 = 8 in the two point form equation we get-
( y - 7) = {(-10 - 8) / (7 + 2)} (x + 10)
y - 7 = (-18/9) (x + 10)
y - 7 = -2(x + 10)
y - 7 = -2x -20
y = -2x -20 + 7
y = -2x -13
Thus, h(x) = -2x -13
Hence, h(3) = -2(3) -13
= -6 -13
= -19
Therefore, h(3) = -19
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1. Identify the error.
Determine the coordinates for A' after a
reflection over the x-axis.
B
D
The coordinates for A' will be (3, 1).
(3, -1)
Any point can be located using a Cartesian coordinate system or coordinate system, and that point can be displayed as an ordered pair (x, y) known as Coordinates. The origin, denoted by the letter "O," is the point where the two number lines intersect. The horizontal number line is known as the X-axis, and the vertical number line is known as the Y-axis.
Reflection of a coordinate in x-axis, negates the y - coordinate.
So, negation of 1 = -1
So, the new coordinate is ( 3, -1)
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refer to the number line. find the coordinate of point C that is 7/8 of the distance from m to j. m = 2 , j=18
The coordinate of point C that is 7/8 of the distance is 14
How to find the coordinate of point C that is 7/8 of the distance?The given parameters are
C =7/8 from m to j
While the points are
M = 2
J = 18
The coordinate of point C that is 7/8 of the distance is calculated as
C = 7/8 * (J - M)
This gives
C = 7/8 * (18 - 2)
Evaluate
C = 14
Hence, the coordinate of point C that is 7/8 of the distance is 14
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Jon walked 90 feet in 13.5 seconds. What is his speed in miles per
hour? (1 mi = 5280 ft)
Round your answer to the nearest tenth.
Do not include a unit of measure with your response; provide just a
numeric answer.
6.66 feet/sec
SPEED = 90 / 13.5
= 6.66 feet/ sec
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You are getting ready to open a new bank account.
Create a list of 10 things that are the most important things to research and consider before choosing the bank or financial institution you would like to do business with.
The factors to consider before choosing a bank are;
1) The security of your funds.
2) The type of account you want to open.
3) The cost of hidden fees such as annual fees, transfer fees, and other service fees.
4) The banks interest rates.
5) Cash Limits
6) Online Banking.
7) Trust factor.
8) Location of the bank
9) Credit Unions
10) Opportunity of free checks
What are the factors to consider when choosing a bank account?
The factors to consider before choosing a bank are;
1) The security of your funds; This is important so that your funds are well protected against any type of fraud.
2) The type of account you want to open; This is also key because of operations.
3) The cost of hidden fees such as annual fees, transfer fees, and other service fees.
4) The banks interest rates; This is important as one would like a higher interest rates on his savings.
5) Cash Limits; This is important because some banks have a withdrawal limit per day.
6) Online Banking; This is important as banking is now global and as such online presence is very key.
7) Trust factor; You need to be able to trust this bank enough to put your money there.
8) Location of the bank
9) Credit Unions
10) Opportunity of free checks
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Find a linear equation whose graph is the straight line with the given properties.
through (1, 4) with slope 6
Answer:
y = 6x - 2
Step-by-step explanation:
We will use the slope-intercept form of a line to help us. We know the slope, we need to determine the y-intercept. To find this, we need an x and y on the line and the slope. Fortunately, they have given us all of the information. An ordered pair is in the form (x,y) So we will use x = 1 and y = 4 from the point they have given us (1,4) They have also given us the slope of 6. We will plug this all into our equation and solve for b the y-intercept.
y = mx + b
4 = 6(1) + b
4 = 6 + b Subtract 6 from both sides of the equation.
-2 = b
Now, write the equation
y = mx + b
y = 6x -2
Consider the equation 5x + 8y = 24, A line parallel to the above line would have a slope of:
Answer:
Any line with a slope of -5/8 would be parallel to this line.
Step-by-step explanation:
First write this in the slope intercept form of a line
y = mx + b. The number before the x will be the slope.
5x + 8y = 24 Subtract 5x from both sides of the equation
8y = -5x +24 Divide everything by 8
y = -5/8x + 3
What is the answer to 10 2/3 x 5 3/8
Answer:
57.3
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{10 \dfrac{2}{3}\times 5\dfrac{3}{8}}[/tex]
[tex]\mathsf{= \dfrac{10\times3 + 2}{3}\times\dfrac{5\times8 + 3}{8}}[/tex]
[tex]\mathsf{= \dfrac{30 + 2}{3} \times \dfrac{40 + 3}{8}}[/tex]
[tex]\mathsf{= \dfrac{32}{3}\times \dfrac{43}{8}}[/tex]
[tex]\mathsf{=\dfrac{32\times43}{3\times 8}}[/tex]
[tex]\mathsf{= \dfrac{172}{3}}[/tex]
[tex]\mathsf{= 57\dfrac{1}{3}}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{57\dfrac{1}{3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
A pizza parlor is considering adding taco pizza and Hawaiian pizza to its menu. It surveyed a group of potential customers to find out what they thought, and the results of the survey are shown in the bar graph below, with the percentage of respondents favoring the addition of each pizza shown above the corresponding bar.
They should sell 106 taco pizzas in a day.
What is percentage?A percentage is a number or ratio expressed as a fraction of 100.
Given that, a pizza parlour is considering adding taco pizza and Hawaiian pizza to its menu, it surveyed a group of potential customers to find out what they thought,
They are making 78% of taco pizzas and 135 pizzas a day.
78% of 135 = 135*78 /100 = 106
Hence, They should sell 106 taco pizzas in a day.
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Sally can paint a room in 6 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the room if they worked together?
Answer:
2 hours
Step-by-step explanation:
Rate_Sally=1/3, Rate_Steve=1/6, Rate_Together=Rate_Sally+Rate_Steve;
T_Together=1/Rate_Together
=1/(1/3+1/6)=1/(1/2)=2 hours
How to create a number line with -4 less than r
when it tells you what R is then you show a number line with -4 less then R
What is 150 minus 22.37?
Answer:
Step-by-step explanation:
127.63
What ia the answer for 4.5 gl to dl
Answer: 45,000,000,000 dl
Step-by-step explanation:
10,000,000,000 dl=1 gl
4.5 gl * 10,000,000,000 dl/1 gl =
4.5 * 10,000,000,000 dl = 45,000,000,000 dl
find the number subsets of A? if A=(1,2,3,4)
The number of subsets of A is 16
How to calculate the subset ?Given that the numbers in the subset are 1,2,3,4
The number of elements are 4
The number of subsets can be calculated as follows
2⁴
= 16
Hence the number of subsets of A is 16
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Are 12 17 and 14 19 determined ratio are proportional
No, 12 17 and 14 19 determined ratio are not proportional.
What are proportional ratios?If two ratios depict the same connection, they are said to be proportionate. By writing two ratios as fractions and then reducing them, one may determine if they are proportionate. Your ratios are proportional if the reduced fractions are equal.
We can observe that 17 and 19 are prime numbers,
So, 12 : 17 cannot be simplified further,
Neither 14 : 19 can be simplified.
⇒ 12 : 17 ≠ 14 : 19
∴ We can say that 12 17 and 14 19 determined ratio are not proportional.
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The cost of a school banquet is $95 plus $15 for each person attending. Write an equation
that represents the relationship between the total cost and number of people attending.
Answer:
95 + (15 x n) n = number of people attending
Step-by-step explanation:
the Price will vary based on how many people attend the wedding, so if the variable n represents the number of people attending you only need to times that by 15$ and then add the original 95$
I'm looking for the solution and answer, thanks :)
The solution of the expression [f(x) - f(a)] / (x - a) will be [-7 / (a + 5)(x + 5)].
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The function is given below.
f(x) = 7 / (x + 5)
The difference quotient in the form [f(x) - f(a)] / (x - a) will be
[tex]\rm \rightarrow \dfrac{f(x) - f(a)}{x - a}\\\\\rightarrow \dfrac{\frac{7}{x + 5} - \frac{7}{a + 5}}{x - a}\\\\\rightarrow \dfrac{7 \left ( \frac{a + 5 - x - 5}{(x + 5)(a + 5)} \right )}{x - a}\\\\\rightarrow \dfrac{7(a - x)}{(x - a)(x + 5)(a + 5)}[/tex]
Further, simplify the expression, then we have
⇒ - 7 / (x + 5)(a + 5)
The solution of the expression [f(x) - f(a)] / (x - a) will be [-7 / (a + 5)(x + 5)].
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please help for brainiest asap!!!
The first mistake in solving the given algebraic expression is; Line 3
How to solve Algebraic Expressions?We are given the algebraic expression as;
6(2y + 6) = 4(9 + 3y)
The first step would be to use distributive property of algebra to expand the bracket to get;
12y + 36 = 36 + 12y
The next step will be to use subtraction property of equality to subtract 36 from both sides to get;
12y = 12y
Now, since the coefficients of the variable is the same on both sides, then it means the equation has no solution and as such the conclusion is that the first mistake is in line 3.
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f(x) = -3x² - 2x
how to find f (8)
Answer:
f(8) = -208
Step-by-step explanation:
Apply 8 into the equation
f(8) = -3(8)² - 2(8)
= -192 - 16
= -208
8 will be your x value since it's implied within the question itself.
Answer:
-208
Step-by-step explanation:
Given function:
[tex]\text{f}(x)=-3x^2-2x[/tex]
To find f(8), substitute x = 8 into the function:
[tex]\begin{aligned}\text{f}(x) & =-3x^2-2x\\\implies \text{f}(8) & =-3(8)^2-2(8)\\& =-3(64)-2(8)\\& =-192-16\\& = -208\end{aligned}[/tex]
Therefore, f(8) = -208.
Carly tutors students in math on the weekends and offers both thirty-minute sessions and sixty-minute sessions. She earns $15 for each
thirty-minute session and $25 for each sixty-minute session.
If she earned $230 this past weekend and had x thirty-minute sessions and x - 2 sixty-minute sessions, what is the value of x?
A 7
B. 5
C. 8
D. 6
The value of x is 7. The correct option is A. 7
Solving Linear equationsFrom the question, we are to determine the value of x
From the given information,
Carly earns $15 for each thirty-minute session and $25 for each sixty-minute session
Also,
She earned $230 this past weekend and had x thirty-minute sessions and x - 2 sixty-minute sessions
Then, we can write that
x × $15 + (x -2) × $25 = $230
Solve for x in the equation
15x + 25(x -2) = 230
15x + 25x - 50 = 230
40x - 50 = 230
40x = 230 + 50
40x = 280
x = 280/40
x = 7
Hence, the value of x is 7. The correct option is A. 7
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Answer:
B. 7
Step-by-step explanation:
Correct on edmentum!
What’s the distance between A and B
A= (-3,-4)
B= (4,5)
A) square root of 256
B) square root of 130
C) Square root of 82
D) square root of 32
Answer:
C
bacause the root is 82 and it's not that far
Graph the following figure in the coordinate plane. Find the perimeter. X(0,1), Y(4, -2), Z(-5, -2)
The perimeter of the figure is 8 + √14 units
How to graph the figure in the coordinate plane and find the perimeter?The coordinates are given as
X(0,1), Y(4, -2), Z(-5, -2)
Next, we plot the above coordinates on a coordinate plane
See attachment for the plot of the coordinates on a coordinate plane
Next, we calculate the distance between the points using
d = √(x2 - x1)^2 + (y2 - y1)^2
So, we have
XY = √(0 - 4)^2 + (1 + 2)^2 = 5
XZ = √(0 + 5)^2 + (1 + 2)^2 = √14
YZ = √(4 + 5)^2 + (-2 + 2)^2 = 3
The perimeter is calculated as
P = XY + XZ + YZ
So, we have
P = 5 + √14 + 3
Evaluate
P = 8 + √14
Hence, the perimeter of the figure is 8 + √14 units
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Can someone help me with this please?
Answer:
1)
D) -5<x≤-2
R) 0<y≤3
2)
D) 1≤x≤5
R)2≤y≤4
Step-by-step explanation:
(Only in 7th so might be wrong)
1)
D) -5<x≤-2
R) 0<y≤3
2)
D) 1≤x≤5
R)2≤y≤4
look at the range of where the x and y is at (1-2 included = 1<x≤2)
PLEASE ANSWERING THIS QUESTION!
By completing the square, the expression [tex]\sf{x^2-12x+101}[/tex] equals (x+A)^2+B
where A = (Blank)
and B = (Blank)
Show your work!
Do not spam answers!
Explain your answer!
Thanks!
The given expression expressed in the form (x+A)^2+B is (x - 6)² + 65
A = -6 and B = 65
Completing the squareFrom the question, we are to express the given expression in the form (x + A)^2+B by completing the square
The given expression is
x² -12x + 101
Using the completing the square method
x² -12x + 101
Divide the coefficient of x by 2 and then square it
The coefficient of x is -12
Dividing by 2, we get
-12/2 = -6
Squaring
(-6)²
Now, add and subtract this value from the expression
x² -12x + (-6)² + 101 - (-6)²
Then, we can write that
(x - 6)² + 101 - (-6)²
(x - 6)² + 101 - 36
(x - 6)² + 65
Thus,
The given expression expressed in the form (x+A)^2+B is (x - 6)² + 65
By comparison,
A = -6
and
B = 65
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motorcycle maker, says that it expects to build 312,000 motorcycles this year, up from 290,700 last year. Find the percent of increase in production.
Explanation:
A = last year's value = 290,700
B = this year's value = 312,000
C = change in values
C = B - A
C = 312,000 - 290,700 = 21,300
The positive result shows the increase of 21,300 more motorcycles made this year, compared to last year. A negative C value would represent a percent decrease.
Divide this change over the original.
C/A = (21,300)/(290,700) = 0.07327141382869
which is approximate. Let's say we rounded to four decimal places to get 0.0733 which then converts to the percentage 7.33%
Suppose g ( x ) = √ x − 3 / x − 11 . what is the domain of g?
The domain of the function g ( x ) = √ x − 3 / x − 11 is R - 11.
What does a function's domain entail?Inputs are assigned outputs by functions. The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.
How do you determine a function's domain?Consider the function y = f(x), which has the independent variable x and the dependent variable y. A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.
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