The graph of f (z) -x^2 was translated 4.5 units to the left to create the graph of function g.
which function represents g?
Answers
If the function is translated 4.5 units to the left to createe the graph of function g(x), hence the resuting function will be g(x) = (x + 4.5)^2
Translation of coordinatesGiven the function expressed as
f(x) = x^2
If the function is translated 4.5 units to the left to createe the graph of function g(x), hence the resuting function will be:
g(x) = (x + 4.5)^2
Note that translation to the left means addition of the factor
Learn more on translation here: https://brainly.com/question/1046778
Related Questions
Marco created a table to help him represent the sample space of spinning a spinner and flipping a coin. Result of spin Result of coin toss Red Green Yellow Heads Red, heads Green, heads Yellow, heads Tails Red, tails Green, tails Yellow, tails What is the probability that the result of the spin is green and the coin lands tails up? one over six two over six three over six four over six.
Answers
The probability that the result is green - tail is 1/6.
Spinner has three colors that are red, green and yellow and coin has two sides that are head or tail.
What is the formula for probability?Divide the number of events by the number of possible outcomes
The sample space is,[tex]{(red - head; red - tail; green - head; green - tail; yellow - head; yellow - tail)}[/tex]In total there are 6 ways to combine different colors with coin sides.
Therefore ,the probability that the result is green - tail is 1/6.
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Answer:
1/6
Step-by-step explanation:
A gas pump fills gas into a flying hot air balloon at a constant rate. The table shows the relationship between the total number of gallons of gas, y, a hot air balloon uses flying for x hours.
pls hurry
Number of Hours Gallons of Gas
2 60
3 90
4 120
a 3x
b 6x
c 30x
d 60x
Answers
Answer: C 30X
Step-by-step explanation:
What is 3/8 to the nearest half? I need an explanation too cause I don't understand how to say it :)))
Answers
Answer:
HOP IT HELPS
3/8=1.5/4
because when you divide
3÷2 and 8÷2
you get
1.5/ 4
Answer:
1/2
Step-by-step explanation:
3/8 to the nearest 1/2.
The question wants to know if you round 3/8 to the nearest half, what value would that be? On a number line from 0 to 1, we could mark every 1/8 unit:
0/8==1/8==2/8==3/8==4/8==5/8==6/8==7/8==8/8
Note that 0/8 is 0, 4/8 is 1/4 and 8/8 is 1.
3/8 is one step from 4/8, or 1/2. So the nearest half would be 1/2.
Help pls
MODELING WITH MATHEMATICS The period of a
pendulum is the time the pendulum takes to complete
one back-and-forth swing. The period T in seconds)
can be modeled by the function T = 1.11ve, where
l is the length (in feet) of the pendulum. Graph the
function. Estimate the length of a pendulum with a
period of 2 seconds. Explain your reasoning.
Answers
Answer:
Approximately 1.6
Step-by-step explanation:
To graph. a function, let use desmos or graphing calculator.
Here the function.
The length of the pendulum as shown here when x=2, is 1.6
If someone can answer these both I’ll give 75 points
Answers
Solution (1):
Note that:
Sum of interior angles = 180°This means that...
5x + 3x + 2 + 130 = 180Finding the value of x.
5x + 3x + 2 + 130 = 180=> 8x + 132 = 180=> 8x = 180 - 132=> 8x = 48=> x = 6Solution (2):
Note that:
Sum of interior angles = 180°This means that...
x + 66 + x + 86 + 50 = 180°Finding the value of x.
x + 66 + x + 86 + 50 = 180°=> 2x + 202 = 180°=> 2x = -22=> x = -11Thirty-five math majors, 29 music majors and 26 history majors are randomly selected from 585 math majors, 279 music majors and 393 history majors at the state university. What sampling technique is used
Answers
Answer:
Stratified
Step-by-step explanation:
Given the differential equation dy/dx= -x/2y, find the particular solution, y = f(x), with the initial condition f(4) = 3.
Answers
Answer:
Step-by-step explanation:
3. Angles X and Y have a sum of 159 degrees. Angle X is 43 degrees smaller than angle Y.
Write a system of equations that represent this, then solve it to find the measures of both
angles.
Answers
[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]
[tex]\longrightarrow[/tex]Since angle X and Y have a sum of 159
[tex]\implies \bf Y + X= 159 \_\_\_\_(1) [/tex]
[tex]\longrightarrow[/tex]Since X is 43 degrees smaller than Y , so subtracting X from Y would give 43 , therefore equation will be written as -
[tex]\implies \bf Y - X = 43 \_\_\_\_(2) [/tex]
Adding Equation (1) and (2)
[tex]\begin{gathered}\\\implies\quad \sf Y+X+Y-X = 159+43 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf Y+Y + X-X = 202 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 2Y = 202 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf Y = \frac{202}{2} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \boxed{\sf {Y = 101 }} \\\end{gathered} [/tex]
Putting Y in eq (1)
[tex]\begin{gathered}\\\implies\quad \sf X + 101 = 153 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf X = 153-101 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \boxed{\sf{ X = 52 }}\\\end{gathered} [/tex]
Use the graph above to answer the question. Select all the terms that describe the graph of the function in interval 3 HELPPPPPPPP
Answers
Answer:
true false false true true
evaluate each expression (-1) • 2 • 3
Answers
Answer:
-6
Step-by-step explanation:
-1 * 2 * 3
= -2 * 3
= -6
Answer:
-1 x 2 = -2
-2 x 3 = -6
Answer:
-6
Solve for x and y
2x-5y=1, 3x+2y=11
Answers
2x - 5y = 1
We need to group all the variable terms on one side and all the constant terms on the other side of the equation. Therefore move the term -5y to the other side of equation.
[tex]\rm{2x - 5y = 1 }\\ [/tex]
[tex] \rm{2x - 5y + 5y = 1 + 5y}\\[/tex]
Subtract -5y from both sides of the equation
Simplify 2x - 5y + 5y = 1 + 5y
Cancel -5y with 5y
Reorder 1 + 5y so highest order terms are first
[tex] \rm{x = \frac{5y + 1}{2} } \\ [/tex]
Move factors not having X from the left side of equation 2x = 5y + 1
[tex] \rm{ \frac{2x}{2} = \frac{5y + 1}{2} } \\ [/tex]
Divide both sides of equation 2x = 5y + 1 by 2
Cancel 2 with 2
[tex] \rm{ \frac{\cancel{2}x}{\cancel{2}} = \frac{5y + 1}{2} } \\ [/tex]
[tex] \rm{x = \frac{5y + 1}{2} } \\ [/tex]
Therefore, the x of 2x - 5y = 1 is [tex] \rm{ \frac{5y + 1}{2} } [/tex]
Solve for y2x - 5y = 1
[tex]\rm{-5y + 2x = 1}\\ [/tex]
Reorder 2x -5y so highest order terms are first
-5y = -2x + 1
We need to group all the variable terms on one side and all the constant terms on the other side of the equation. Therefore move the term 2x to the other side of equation -5y + 2x = 1
[tex]\rm{-5y + 2x - 2x = 1 - 2x}\\[/tex]
Subtract 2x from both sides of the equation
Simply - 5y + 2x -2x = 1 - 2x
Cancel 2x with -2x
Reorder 1 - 2x so highest order terms are first
[tex] \rm{y = - \frac{2x + 1}{5} }\\[/tex]
Move factors not having y from the left side of equation -5y = -2x + 1
[tex]\rm{ \frac{ - 5y}{ - 5} = \frac{ - 2x + 1}{ - 5} }\\ [/tex]
Divide both sides of equation -5y = -2x +1 by -5
Simplify [tex]\rm{ \frac{ - 5y}{ - 5} = \frac{ - 2x + 1}{ - 5} } [/tex]
Cancel 5 with -5
Resolve sign on fraction [tex] \rm{\frac{ - 2x + 1}{ - 5} }[/tex]
Therefore, the y of 2x-5y = 1 is [tex]\rm{\frac{ - 2x + 1}{ - 5} } [/tex]
Solve for x3x + 2y = 11
We need to group all the variable terms on one side and all the constant terms on the other side of the equation. Therefore move the term 2:y to the other side of equation 3 x + 2y - 2y = 11 - 2y
Subtract 2y from the both sides of the equation
Simplify 3x + 2y - 2y = 11 - 2y
Cancel 2y with 2y
Reorder 11 - 2y so highest order terms are first
[tex] \rm{x = \frac{2y + 11}{3} } \\ [/tex]
Move the factors not having x from the left side of equation 3x = -2y +11
[tex] \rm{ \frac{3x}{3} = \frac{-2y + 11}{3} } \\ [/tex]
Divide both sides of equation 3x = 2y + 11 by 3
Cancel 3 with 3
[tex] \rm{ \frac{\cancel{3}x}{\cancel{3}} = \frac{-2y + 11}{3} } \\ [/tex]
[tex] \rm{x = \frac{2y + 11}{3} } \\ [/tex]
Therefore, the x for 3x + 2y = 11 is [tex] \rm{ \frac{2y + 11}{3} } [/tex]
Solve for y2y + 3x = 11
Reorder 3x + 2y so highest order terms are first
[tex]\rm{2y + 3x = 11}\\[/tex]
We need to group all the variable terms on one side and all the constant terms on the other side of the equation. Therefore move the term 2:y to the other side of equation 2y + 3x = 11
[tex]\rm{2y + 3x - 3x = 11 - 3x}[/tex]
Subtract 3y from the both sides of the equation
Simplify 2y + 3x - 3x = 11 - 3x
Cancel 3x with - 3x
Reorder 11 - 3x so highest order terms are first
[tex] \rm{y= - \frac{3x + 11}{3} } \\ [/tex]
Move factors not having y from the left side of equation 2y = -3x + 11
[tex] \rm{ \frac{2y}{2} = \frac{-3x + 11}{3} } \\ [/tex]
Divide both sides of equation 2y = -3x + 11 by 2
Cancel 2 with 2
[tex] \rm{ \frac{\cancel{2}y}{\cancel{2}} = \frac{-3x + 11}{3} } \\ [/tex]
[tex] \rm{y = \frac{-3x + 11}{3} } \\ [/tex]
Therefore, the y for 2y + 3x = 11 is [tex] \rm{ \frac{-3x + 11}{3} } [/tex]
Using your knowledge of 2- and y-intercepts, which graph matches the equation y = x + 2x - 3?
Answers
Answer:
ANSWER (A.
Step-by-step explanation:
HOPE IT HELP'S !
Describe in detail how you would create a number line with the following points: 1, 3.25, the opposite of 2, and – (–4fraction of one-half). Please be sure to describe on which tick marks each point is plotted and how many tick marks are between each integer. It may help for you to draw this number line by hand on a sheet of paper first.
Answers
Answer:
Step-by-step explanation:
Given : points 4 , 1 ,25 , opposite of 3 , -1/2
To Find : draw on Number Line
Solution :
Numbers with a negative sign are less than zero
Right of zero represented by ‘+’ sign and to the left of zero represented by ‘–’ sign.
+ sign numbers can be denoted as simply numbers
On a number line the number increases as we move to the right and decreases as we move to the left.
1 : Draw a line and mark some points at equal distance on it as shown in the figure below Mark a point as zero on it. Points to the right of zero are positive integers and are marked simply 1, 2, 3 and so on , while points to the left of zero are negative integers and are marked – 1, – 2, – 3 and so on
2. Go 4 unit on right sides from Zero to show 4
3. Go 3 units on Left from zero to show opposite of 3
4. Divide number line between 1 & 2 in 4 Equal parts and go 1 part right of 1
5. Divide number line between 0 & -1 in 2 Equal parts and go 1 part left of 0
give brainliest.
The path of a football kicked by a field goal kicker can be modeled by the equation y = –0. 04x2 1. 56x, where x is the horizontal distance in yards and y is the corresponding height in yards. What is the approximate maximum height of the football? 15. 21 yd 19. 5 yd 38. 94 yd 45. 63 yd.
Answers
The maximum height of the football is 15.21 yards.
Maximum height of parabolaThe maximum height is the vertex of the parabola, when the parabola faces down.
Given
The path of a football kicked by a field goal kicker can be modeled by the equation y = -0.04x^2 + 1.56x.
Where x is the horizontal distance in yards and y is the corresponding height in yards.
The x- coordinate of the vertex is given by;
[tex]\rm x=\dfrac{-b}{2a}[/tex]
The value of b is 1.56, and a is -0.04.
Substitute all the values in the equation
[tex]\rm x=\dfrac{-b}{2a}\\\\x=\dfrac{-1.56}{-0.08}\\\\x=19.5[/tex]
Substitute the value of x in the given equation
[tex]\rm y = -0.04x^2 + 1.56x\\\\ y = -0.04(19.5)^2+1.56(19.5)\\\\y = - 15.21 + 30.42 \\\\ y=15.21 \ yd[/tex]
Hence, the maximum height of the football is 15.21 yards.
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Find f(6) if f(x) = x2 ÷ 3 + x.
18
21
10
4
Answers
Answer:
the answer for d question is 10
Need Help Please!!!!!!
Answers
Answer:
64°
.
.........................
Can there be outliers if there is no correlation
Answers
Answer
NO
step by step explanation:
The definition of outlier is observational data that appears with extreme values, either univariate or multivariate. What is meant by extreme values in observations are values that are far or completely different from most of the other values in the group
I hope this helps
[tex]v = \frac{er}{r + a} [/tex]
Find R in image
Answers
Step-by-step explanation:
[tex]V = \frac{ER}{R + a} [/tex]
[tex]V(R+a)=ER[/tex]
[tex]VR + Va=ER[/tex]
[tex]Va= ER-VR[/tex]
[tex]Va=R(E-V)[/tex]
[tex]R = \frac{Va}{E-V} [/tex]
Which theorem can you use to show that the quadrilateral on the tile floor is a parallelogram?
4
-Parallelogram Opposite Sides Converse
-Parallelogram Opposite Angles Converse
-Opposite Sides Parallel and Congruent Theorem
-Parallelogram Diagonals Converse
Answers
Answer: Parallelogram Opposite Sides Converse
Step-by-step explanation:
There are 2 pairs of opposite congruent sides.
Solve the proportion
Answers
Answer:
1. (3/2)
2. (20)
3. (3)
4. (-9/5)
5. (-8/7)
6. (-2/3), (4)
Step-by-step explanation:
1. 2. 3. 4.
x 3 12 3 x 1 x + 3 3
/ = / / = / / = / / = /
4 8 x 5 9 x 2 5
8x = 12 60 = 3x x² = 9 5x + 15 = 6
÷8 ÷8 ÷3 ÷3 x = √9 -15 -15
5x = -9
x = (3/2) x = 20 x = 3 ÷5 ÷5
x = (-9/5)
5. 6.
4 - x 3 1 x - 3
/ = / / = /
12 7 2x + 1 9
28 - 7x = 36 9 = 2x^2 - 5x - 3
-28 -28 + 3 + 3
12 = 2x^2 - 5x
-7x = 8 -12 -12
÷-7 ÷-7
2x^2 - 5x - 12 = 0
x = (-8/7)
-b +-√b^2 - 4ac
/ = -(-5)√-5^2 - 4 (2)(-12)
2a /
2(2)
= 5-+√121 5 - 11 -6
/ = / = / = (-2/3)
-4 4 4
= 5 + 11 16
/ = / = (4)
4 4
I hope this helps!
Youre amazing!!! could you help me? 50 points!!! Write an expression that can be used to produce vector d from vector c, and explain how you determined that expression.
Answers
Answer:
Multiply vector c by the scalar -1/2.
Step-by-step explanation:
Look at vector c.
It has an x component of 4 and a y component of 4.
You can write vector c as a sum of its components using unit vectors in the x direction (i) and in the y direction (j).
c = 4i + 4j
Now look at vector d, and write it also as a sum of its x and y components.
d = -2i - 2j
Now ask yourself, what operation do I do to 4 to end up with -2?
One answer is to multiply 4 by -1/2.
d = (-1/2)c = (-1/2)(4i) + (-1/2)(4j) = -2i - 2j
That worked. By multiplying vector c by the scalar -1/2, you end up with vector d.
If 14% of a number is 18, find 7% of that number.
Answers
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
14%= 18
1%= [tex]\frac{18}{14}[/tex]
7%= [tex]\frac{18}{14}[/tex] x 7
= [tex]\frac{18}{2}[/tex]
= 9
2x+3y=53 what is the value of y and x
Answers
Answer:
[tex]2x = 53 - 3y \\ x = \frac{53 - 3y}{2} \\ y = \frac{53 - 2x}{3} [/tex]
Please help me, I am having trouble solving this type of problems!!!
Answers
Answer:
a
Step-by-step explanation:
arc length is calculated as
arc = circumference × fraction of circle
= 2πr × [tex]\frac{110}{360}[/tex]
= 2π × 4 × [tex]\frac{11}{36}[/tex] ( cancel 4 and 36 by 4 )
= 2π × [tex]\frac{11}{9}[/tex]
= [tex]\frac{22}{9}[/tex] π inches
graph the following equation y= 1 - 5/3x
first, fill incthe table.
Answers
Answer:
good luck
Step-by-step explanation:
I do not remember
HELLLLLPPPPPPPP!!!!!!!!!!!!! IT GOT DELETED LAST TIME!!!!!!
4x^3y^2 x 3x^6y^3/24x^11y^2
Answers
Answer:
x²⁰y⁷
____
2
Step-by-step explanation:
multiply
combine exp
cancel terms
combine multiplied terms
combine exp
The average boa constrictor is about 7 1/2 feet long. How many inches is that?
Answers
Answer:
90 In
Step-by-step explanation:
12 x 7 = 84
12 x 1/2 = 6
84 + 6 = 90
Solve the following quadratic function by utilizing the souare root method y=x2-1 x= = +[?] ]
Answers
Answer:
x = ±1
Step-by-step explanation:
We have to assume you want the solution for y = 0:
0 = x² -1
1 = x² . . . . . . add 1
±1 = x . . . . . . take the square root
x = ±1
Hi i have a trick question 2 actually so we started to do simply fy and i dont understand these 2 so here it is -2 x y +7x
and 10x + 2y - 2x +2y/2 +8y
Answers
Answer:
The first one is: -2xy+7x
The second one is: 12x+9y
Number one is a little weird in how you put it, but I hope this helps!
Samantha saw two bottles of ketchup at the store for the same price. One bottle contained 4 pints of ketchup, and the other contained 1.25 quarts of ketchp. Which bottle was the better bargain?
Answers
Answer:
The bottle with 1.25quarts is the better bargain because a quart is the same thing as 2pints