Answer:
G(x) = (x-4)⁴
Step-by-step explanation:
The equation of the graph of f(x) which is formed by shifting 4 units to the right of g(x) is f(x) = (x - 4)⁴
What is Translation of Functions?Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.
There are horizontal translation and vertical translation of functions.
Given a function G(x).
G(x) = x⁴
A function F(x) is formed by shifting the graph of G(x) to the right by 4 units.
A function h(x) when shifted to the right by k units becomes h(x - c).
So the graph of G(x) when shifted to the right by 4 units becomes G(x - 4).
G(x - 4) = (x - 4)⁴
So, F(x) = (x - 4)⁴
Hence the function is F(x) = (x - 4)⁴.
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which product is greater than 1/2
5/2x1/2
3/3x1/2
2/3x1/2
4/5x1/2
Square PQRS is drawn inside rectangle ABCD such that side PQ is on side AB and side SR is on side DC, as shown below. Line segment PB is 17 inches long and line segment DR is 15 inches long. What is the perimeter of rectangle ABCD?
The perimeter of the rectangle ABCD is the sum of its side lengths, and the perimeter is 70 inches
How to determine the perimeter of ABCD?The question is incomplete, as the figure of the square and the rectangle are not given; so I will give a general explanation
The perimeter (P) of the rectangle ABCD is calculated using:
P = AB + BC + CD + DA
Since the opposite sides are equal, the formula becomes
P = 2 * (AB + BC)
Assume that the values of AB and BC are 20 and 15, respectively;
The equation becomes
P = 2 * (20 + 15)
Evaluate the product
P = 70
Hence, the perimeter of the rectangle ABCD is 70 inches (using the assumed values)
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A delivery company is considering adding another vehicle to its delivery fleet; each vehicle is rented for $350 per day. Assume that the additional vehicle would be capable of delivering 1,750 packages per day and that each package that is delivered brings in $0.35 in revenue. Also assume that adding the delivery vehicle would not affect any other costs.
Answer:
MRP: 612.5
MRC: 350
Step-by-step explanation:
MRP: 1750 x 0.35/1= 612.5
MRC: cost to rent each vehicle per day
Jack wants to measure the height of a tree. He sights the top of the tree, using a mirror that is lying flat on the ground. The mirror is 36 feet from the tree, and Tom is standing 9.1 feet from the mirror, as shown in the figure. His eyes are 6 feet above the ground. How tall is the tree? Round your answer to the nearest foot.
Answer:
11t.
hope this helps you
Which expression is equivalent to 16^3? 2^7 2^11 2^12 2^64
2^12
Step-by-step explanation:
16^3 = 4096
2^7 =128
2^11 = 2048
2^12 = 4096
2^64 = really big (1.8x10^19 to 2 s.f)
Hope this helps!
Hey whats 56x78 then divide it by 5.
Answer:
873.6
Step-by-step explanation:
Answer:
873.6
Step-by-step explanation:
56 x 78 is 4368
4268 / 5 is 873.6
45 miles divided by 1 hour and 45 minutes
Answer:
(45 miles) / ((1 hour) + (45 minutes)) =
11.4953143 m / s
Step-by-step explanation:
Answer:
25.71 mph
Step-by-step explanation:
45 miles in 1.75 hours
45 miles /1.75 hours = 25.71 mph
If a and b are positive integers the system consists of which inequalities?
Answer:
D) y > -ax + b
E) y < ax - b
Step-by-step explanation:
The line with the negative slope (blue on attached diagram):
negative slope → -axshading above y → y >positive y-intercept → +bTherefore: y > -ax + b
The line with the positive slope (red on attached diagram):
positive slope → axshading under y → y <negative y-intercept → -bTherefore: y < ax - b
shift up 5 units
shift down 5 units
shift right 5 units
shift left 5 units
Answer:
The answer is shift up 5 units.
Write an equation that represents each side of the figure. Please I need help ASAP!
What is the length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees? (give the answer in decimal form rounded to the nearest tenth.)
The length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees is 9.42.
What is the length of the arc?The arc length is defined as the interspace between the two points along a section of a curve.
An arc of a circle is any part of the circumference.
The length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees is given by;
[tex]\rm ARC =2\pi r \times \dfrac{\theta}{360}\\\\ARC =2\pi \times 12 \times \dfrac{45}{360}\\\\ ARC =3\times 3.14\\\\ARC =9.42[/tex]
Hence, the length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees is 9.42.
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Please help me solve this
Answer:
[tex]x - 6 > - 2 \\ x > - 2 + 6 \\ x > 4[/tex]
Step-by-step explanation:
So, the answer is the first one
Answer:
{x | x ∈ R, x > 4}
Step-by-step explanation:
Given:
x - 6 > -2
Add 6 to both sides:
⇒ x - 6 + 6 > -2 + 6
⇒ x > 4
Therefore, the solution set is:
{x | x ∈ R, x > 4}
Which expression is equivalent to (-3m-2n³)²(4mn²p-4)?
Answer:
Step-by-step explanation:
(-3m-2n³)²(4mn²p-4)
= (-3m-2n³)(-3m-2n³)(4mn²p-4)
= (9m^2 +6mn^3 + 6mn^3 + 4n^6)(4mn²p-4)
= (9m^2 + 12mn^3 + 4n^6)(4mn²p-4)
= 36m^3n^2 p + 48m^2n^5 p - 36m^2 + 16mn^8 p - 48mn^3 -16 n^6
Help please with this
Answer:
85 and 91
Step-by-step explanation:
Number two and three please asap
Answer: h and d
Step-by-step explanation:
the answer is correct because it shows it please give this a like
Below there are graphs of some inverse proportions. What function each one represent?
Answer:
y = 15/x
Step-by-step explanation:
An inverse proportion has the equation ...
y = k(1/x) . . . . k is the constant of proportionality
__
Solving for k, we find ...
k = xy
The coordinates of the given point can be used to find k:
k = (3)(5) = 15
Then the equation of the graph is ...
y = 15/x
simplify 3(6a+3b)+5(2a-b).
Answer:
28a+4b
Step-by-step explanation:
Determine the midpoint of each line segment with the given endpoints.
1. (-2,5) and (0,2)
2. (0,3) and (0,-3)
3. (-2,0) and (-4,0)
4. (9,0) and (0,-7)
Answer:
(-1, 3.5)(0, 0)(-3, 0)(4.5, -3.5)Step-by-step explanation:
Midpoint Formula
M = (x₁ + x₂ / 2, y₁ + y₂ / 2)#1 : (-2,5) and (0. 2)
M = (-2 + 0 / 2, 5 + 2 / 2)M = (-2/2, 7/2)M = (-1, 7/2)M = (-1, 3.5)#2 : (0, 3) and (0, -3)
M = (0 + 0 / 2, 3 - 3 / 2)M = (0, 0)#3 : (-2, 0) and (-4, 0)
M = (-2 - 4 / 2, 0 + 0 / 2)M = (-6/2, 0)M = (-3, 0)#4 : (9, 0) and (0, -7)
M = (9 + 0 / 2, 0 - 7 / 2)M = (9/2, -7/2)M = (4.5, -3.5)he price of a laptop was marked 80 percent off because it had a cracked screen.
If this resulted in a savings of $600, what is the value of x in the table above?
Answer:
Total Price = $750
Price Payed = $150
Step-by-step explanation:
Let me know if you need an explanation
9. You are installing a swimming pool. Write a polynomial that represents the area of the walkway
8 ft width of the pool
(6x-4) ft length (of the pool)
(2x + 6) ft length of the Walk way
10x ft width of the Walk way
Answer:
(10x² +12x +32) ft²
Step-by-step explanation:
The area of the walkway around the pool is the difference between the area of the entire rectangle, and the area of the pool. The area of each rectangle is found by multiplying its length and width.
__
Overall area:
((2x +6) ft) × (10x) ft = (10x² +60x) ft²
Pool area:
((6x -4) ft) × (8 ft) = (48x -32) ft²
Walkway area:
overall area - pool area = ((10x² +60x) ft²) -((48x -32) ft²)
= (10x² +12x +32) ft²
If you need $25,000 eight years from now, what is the minimum amount of money you need to deposit
into a bank account that pays an annual percentage rate (APR) of 5% that is compounded-
a. once a year?
Please Help me on this ! ( don’t send links)
Tiffany was helping her mom cook if they started at 2:30 and it took 2 hours and 45 minutes what time will it be done?
Answer:5:15
Step-by-step explanation:
2:30+2 hour=4:30
4:30+45=5:15
The dimensions of a triangular prism are shown in the diagram. The prism is not drawn to scale.
What is the volume of the triangular prism in cubic centimeters?
Answer:
151200 cm³
Step-by-step explanation:
volume = (area of base) × (height of prism)
volume = bh/2 × H
volume = (32 cm)(63 cm)/2 × 150 cm
volume = 151200 cm³
PLEASE ANSWER FAST I NEED HELP
Part D
? Question
Suppose Coach Bennet selects one senior and one junior as the first two players. The coach then randomly selects
the third player from either group.
Taylor and Jamie are both juniors on the team. If Taylor is selected as one of the first two players, what is the
probability that Jamie will be selected as the third player?
Type in the correct answer in the box. Use numerals instead of words. If necessary, round your answer to the
nearest tenth.
The probability that Jamie will be selected as the third player, given that Taylor is selected as one of the
The probability that Jamie will be selected as the third player, given that Taylor is selected as one of the is 22%.
ProbabilityLet J represent the event that junior is selected
Let S represent the event that senior is selected
Hence:
Probability when Jamie is selected as the last person
P(JSJ) or P(SJJ)
P(JSJ) =6/14×8/13×5/12
P(JSJ) =10/91
P(SJJ) =8/14×6/13×5/12
P(SJJ) =10/91
P(Jamie selected)=P(JSJ) + P(SJJ)
P(Jamie selected)=10/91+10/91
P(Jamie selected)=20/91
P(Jamie selected)=0.2198×100
P(Jamie selected)=21.98%
P(Jamie selected)=22% (Approximately)
Therefore the probability that Jamie will be selected as the third player, given that Taylor is selected as one of the is 22%.
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Answer:
Therefore, the probability of Jamie being selected as the third player, given that Taylor is already selected as one of the first two players, is 8.9%
Step-by-step explanation:
trust me
I AM A LIL BIT CONFUSED HERE CAN SOMEBODY HELP ME
Answer:
y = x^3 - 3x^2 - 22x +24
Step-by-step explanation:
I got my information from this video, it's very helpful and I'm sure you'll understand how to do these sorts of problems after watching it.
Hope this helps :)
Find a Polynomial Function Given the Zeros and Leading Coefficient (Degree 3)
I realized I can't post the link, but that's the name of it
Pythagorean Theorem
solve for the missing side round to the nearest 10th I will mark you BRAINLIEST IF ANSWEREE CORRECTLY NO LINKS IF YOU DO NOT KNOW THE ANSWER DONT COMMENT ON THIS THREAD
Answer 10
Step-by-step explanation:
its 8 when you round it to the nearest 10 its will give you 10
what is an equation of the line that passes through the points (6,5) and (7,7)
Answer:
The slope of the line is m = 2.
The y-intercept is (0,7).
The equation of the line in the slope-intercept form is y = 2 x - 7.
Step-by-step explanation:
The slope of a line passing through two points [tex]P = \left(x_{1}, y_{1}\right)[/tex] and [tex]Q = \left(x_{2}, y_{2}\right)[/tex]
is given by [tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
We have that [tex]x_{1} = 6[/tex] , [tex]y_{1} = 5y[/tex] , and [tex]y_{2} =7.[/tex]
Plug the given values into the formula for a slope: [tex]m=\frac{7-5}{7-6} =2[/tex].
Now, the y-intercept is [tex]b=y_{1} -mx_{1}[/tex] (or [tex]b =y_{2} -mx_{2}[/tex], the result is the same).
[tex]b=5-(2)*(6)=-7[/tex]
Finally, the equation of the line can be written in the form [tex]y=b+mx[/tex]:
[tex]y=2x-7[/tex]
Answer:
[tex]\Large\boxed{\sf{y=2x-7}}[/tex]Step-by-step explanation:
The slope formula is used to find the equation of the line that passes through the points in this problem.
SLOPE FORMULA:
[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{RISE}{RUN} }[/tex]
y₂=7y₁=5x₂=7x₁=6[tex]\Longrightarrow: \sf{\dfrac{7-5}{7-6}=\dfrac{2}{1}=2 }[/tex]
Use the slope-intercept form.
SLOPE-INTERCEPT FORM:
[tex]\Longrightarrow: \sf{Y=MX+B}[/tex]
[tex]\Longrightarrow: \text{The M represents the "slope".}[/tex]
[tex]\Longrightarrow: \text{The B represents the "y-intercept".}[/tex]
y=2x-7Therefore, the slope is 2 and the y-intercept is 7.The correct answer is y=2x-7.I hope this helps. Let me know if you have any questions.
find the area of the shape below giving your answer to the 1 decimal place. 10cm, 15 cm
Answer:
The area is : 189.27
Step-by-step explanation:
Rectangle: 10 x 15
Semicircle or half circle: A=πr2=π·52≈ 78.53982 = 78.54/2 = 39.27
Add Reactangle: 150 + 39.27
Help pls I’m literally so confused TvT
[tex]x^2 -3x -70\\\\=x^2 -10x +7x -70\\\\=x(x-10)+7(x-10)\\\\=(x+7)(x-10)[/tex]
Answer:
(x - 10)(x + 7).
Step-by-step explanation:
This is a quadratic expression and the factors are of the form (x + a)(x + b).
We have x^2 - 3x - 70.
- to find the values of a and b in this expression we need 2 numbers whose product is -70 and whose sum is -3.
They are -10 and +7 , so the factors are:
(x - 10)(x + 7).
select the correct number from each list to complete the equation.
8
-)+?
8
2
2.
-2
-2
Mit
to it
-4
3
-3
4
lto complete the equation.
8
-)+?
8
2
2.
-2
-2
Mit
to it
-4
3
-3
4
6