Answer:
[tex]g(x) = |x-3|[/tex]
Step-by-step explanation:
We are given the parent function:
[tex]f(x) = |x|[/tex]
And we want to find the equation after a reflection in the y-axis followed by a translation of three units right.
To reflect a function over the y-axis, we multiply the input by a negative. That is:
[tex]\displaystyle f(x) \rightarrow f(-x)[/tex]
In other words, a reflection over the y-axis will be given by:
[tex]f(-x) = |-x|[/tex]
To shift horzontally, we add if we are moving leftwards or subtract if we are moving rightwards. That is:
[tex]f(x) \rightarrow f(x-k)[/tex]
Where k is the horizontal translation.
Since we are translating three units rightwards, k = 3. Hence:
[tex]\displaystyle f(-(x-3)) = |-(x-3)|[/tex]
Recall that |ab| = |a||b|. Hence:
[tex]\displaystyle f(-(x-3)) = |-(x-3)| = |-1||(x-3)| = |x-3|[/tex]
Hence, f reflected over the y-axis followed by a translation of three units right is given by:
[tex]g(x) = |x-3|[/tex]
how many times does 48 go into 4,896
Answer:
102 times
Step-by-step explanation:
4,896 divided by 48 =102
so 48 goes 102 times into 4,896
hope this helps:)
Find the value of x that will make A||B.
Answer:
7
Step-by-step explanation:
By the definition of alternate interior angle:
3x-2=2x+5
3x-2x=5+2
x=7
Note:if you need to ask any question please let me know.
Answer:
x = 7
Step-by-step explanation:
since these are alternating interior angles, these two expressions will be = to each other
2x+5=3x-2
subtract the 2x from both sides
5=x-2
add the 2 to both sides
7=x
What is the height of the FlagPole?
26² - 10² = 676 - 100 = 576
√576 = 24
The height of the Flagpole is, 24 feet.
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
We have to given that;
The base length = 10 ft
And, The hypotenuse length = 26 ft
Now, Let height of the Flagpole = x
So, By Pythagoras theorem we get;
⇒ Hypotenuse² = Base² + Perpendicular²
⇒ 26² = 10² + x²
⇒ 676 = 100 + x²
⇒ x² = 676 - 100
⇒ x² = 576
⇒ x = √576
⇒ x = 24 feet
Thus, The height of the Flagpole = 24 feet
Learn more about the Pythagoras theorem visit:
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what is 18/5 as a terminating decimal (use long division)
Answer:
3.6
Step-by-step explanation:
sorry for the weird looking numbers, I used my mouse to write this
PLS HELP!!
Find the slope of the line through each pair of points.(-10, -1). (-15, -7)*
Answer:
6/5
Step-by-step explanation:
To find the slope, we use the formula
m = ( y2-y1)/(x2-x1)
= ( -7 - -1)/(-15 - -10)
= (-7+1)/(-15+10)
= -6/-5
= 6/5
kareem made $273 for 13 hours of work. At the same rate, how much would he make for 5 hours?
Answer:
$105
[tex] \frac{273}{13} \times 5 = 105[/tex]
solve for variable. 3p/5 + 8/5 =1
[tex]\\ \sf\longmapsto \dfrac{3p}{5}+\dfrac{8}{5}=1[/tex]
[tex]\\ \sf\longmapsto \dfrac{3p+8}{5}=1[/tex]
[tex]\\ \sf\longmapsto 3p+8=5[/tex]
[tex]\\ \sf\longmapsto 3p=5-8[/tex]
[tex]\\ \sf\longmapsto 3p=-3[/tex]
[tex]\\ \sf\longmapsto p=\dfrac{-3}{3}[/tex]
[tex]\\ \sf\longmapsto p=-1[/tex]
when a sum of rupees hundred is divided in the ratio of 2 is to 3 find the share of each part
2x + 3x = 100
5x=100
x=100/5
x= 20
Therefore, 2x=2×20=40
3x=3×20=60
Please mark me as brinliest.......
Glad to help you......
find the square of 20.
Answer:
400
Step-by-step explanation:
[tex] {20}^{2} = 20 \times 20[/tex]
that is equal to 400
Answer: 400
Step by step explanation:
20*20= (2*2)*(10*10)= 4*100=400
Use Distributive property to write the expression without parentheses
Answer:
28a + 17
Step-by-step explanation:
7(4a + 3) - 4
28a + 21 - 4
28a + 17
b=
\,\,f^2A+2HA
f
2
A+2HA
Answer:
this is not questions you mind is deie
How can $500 be divided between four people so that each person gets $20 more than the person before.
Answer:
$95, $115, $135, $155
Step-by-step explanation:
If the first person gets x dollars:
the next person gets 20 more, so x + 20 dollars
the next person gets x + 40 dollars
and the last person gets x + 60 dollars
We add all these allocations together, and we get $500
x + (x + 20) + (x + 40) + (x + 60) = 500
Combine like terms
4x + 120 = 500
Subtract 120 on both sides
4x = 380
Divide by 4 on both sides
x = 95
So the first person gets $95.
The second person must get $115
The third must get $135
And the fourth must get $155
Checking our work:
95 + 115 + 135 + 155 = 500
13 Points Plz Help Me
Step-by-step explanation:
y+x-2-6x = y-5x-2
2x+3-x-4 = x-1
5xy+4x-5xy-3 = x
6b-4a+4a-17b+b
Need help
Which expressions are equivalent
Answer:
The choose B. 2(2m-1)-8m
Step-by-step explanation:
2(2m-1)-8m = 4m-2 + (-8m)
I hope I helped you^_^
(50 POINTS!!!!!) I NEED THE CORRECT ANSWER... FAST!
Answer:
don't know sorry forgive me
Solve for x 3 ( 2x -50 ) = 2 ( 8x -7) + 4 X = _________ A. 14 B. 10 C. -14 D. -10
Answer:
B
Step-by-step explanation:
3(2x-50)=2(8x-7)+4x
6x-150=16x-14+4x
6x-150=20x-14
150-14=20x-6x
136=14x
x=136/14
x=9.7=10
Determine the supplement of each angle measure.
63°
Answer:
117 is the answer of your questions
Step-by-step explanation:
supplement=180
given angle=63
180-63=117
Please help. I’m not sure what the answer is
Answer:
A
Step-by-step explanation:
Monica has $10-off coupon. write an expression that describes the cost of t T-shirts, not including sales tax.
Answer:
19.95t - $10
Step-by-step explanation:
I think this is the answer but i could be absolutely wrong
Rewrite the equivalent addition expression and evaluate.
4.4 -(-6.6)
A) 11.0
B)-11
C)-2.0
D)2.0
Answer:
it will be 11
Step-by-step explanation:
thatsvthe answer minus and minus plus
What is the perimeter of this rectangle?
21 units
3 units
12 units
None of the above.
Answer:
12
Step-by-step explanation:
12 units....
perimeter is the total surface area of a certain object or shape... counting only the surfaced side of each square tat makes up this rectangle.... its perimeter is 12 units
Write an expression for the perimeter of a rectangle if the length is 12x – 4 and the
width is 3x+5.
Answer:
8x+2
Step-by-step explanation:
21. Describe a real-life situation that can be modeled by an absolute-value equation
with the solutions x = 5 and x = 10.
Will give Brainly
The absolute value of a number returns the positive value of the given number. A real life situation that describes the scenario is:
"the point which a boy stands if the boy is standing 2.5 meters away from the 7.5 meters point."
Given that:
[tex]x = 5\ or\ x = 10[/tex]
An example of real life situation is as follows:
Calculate the point which a boy stands if the boy is standing 2.5 meters away from the 7.5 meters point.
Represent the point at which the boy stays with x. So, the situation is represented as:
[tex]|x - 7.5| = 2.5[/tex]
Remove absolute brackets
[tex]x - 7.5 = 2.5\ or\ x - 7.5 = -2.5[/tex]
Solve for x
[tex]x = 7.5+2.5\ or\ x = 7.5-2.5[/tex]
[tex]x = 10\ or\ x = 5[/tex]
Hence, the value of x is 5 or 10
Read more absolute values at:
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What’s -2 + -9 =
please help me because tomorrow i have a test in math class , about integers and someone please explain too me . thank you if anyone can help
Answer:
-11
Step-by-step explanation:
-2+-9=
add like terms
-11
Evaluate and simplify expressions
Pls put the solution as well
Answer:
The answer for question no 1 is 9
Step-by-step explanation:
Check out the steps as I've done in the image sent
Work 2 and 3,using the same process
Hope you understand?
someone help me asap
Answer:
19/20 cups
Step-by-step explanation:
Add the amounts together
1/4 + 7/10
Get a common denominator of 20
1/4 *5/5 + 7/10 *2/2
5/20 + 14/20
19/20
Answer:
19/20
Step-by-step explanation:
find a common denominator then do the same with the numerator then add.
Find the midpoint of (4,5) & (2,2)
Answer:
&
Step-by-step explanation:
Answer:
[tex]\boxed {\boxed {\sf (3, \frac{7}{2}) \ or \ (3, 3.5)}}[/tex]
Step-by-step explanation:
The midpoint is the middle point of a line segment that bisects (splits into 2 equal parts) the line segment. When we calculate the midpoint, we basically find the average of the x-coordinate, then the average of the y-coordinates. The formula is:
[tex](\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})[/tex]
In this formula, (x₁, y₁) and (x₂, y₂) are the endpoints of the segment.
We are given the points (4,5) and (2,2). Match the value and the corresponding variable.
x₁= 4 y₁= 5 x₂= 2 y₂=2Substitute these values into the formula.
[tex](\frac{4+2}{2} , \frac{5+2}{2})[/tex]
Solve the numerators.
X-coordinate: 4+2= 6 Y-coordinate: 5+2=7[tex](\frac{6}{2}, \frac{7}{2})[/tex]
Divide.
[tex](3, \frac{7}{2}) \ or \ (3, 3.5)[/tex]
The midpoint of the line segment is (3, 7/2) or (3, 3.5).
what's the answer to 5 of the statement side , please help
Step-by-step explanation:
2x+3x=15
5x=15
x=15/5
x=3
Pls help! due tonight! Will give brainliest! And pls explain! 16 points!