Answer:
B
Step-by-step explanation:
f(x) = x³
g(x) = (x - 3)³ - 2
The inside of the parenthesis represents a horizontal shift
If the number operation being done to x inside of the parenthesis is adding ( or if the number is positive ) then the graph will shift to the left. If the operation being done inside of the parenthesis to x is subtraction ( or if the number is negative ) then the graph will shift to the right.
The operation being done is subtraction therefore it will shift to the right. So it will go 3 units to the right.
the number on the outside works like a y intercept. if it's positive it goes up, if it's negative it goes down. the number is -2 so it will go down 2 units
we can conclude that g is shifted 3 units right and 2 units down
the answer is B
The café's menu lists 3 choices: Egg &Chips -£3.00 Sausage & Chips - £3.60 Sausage & Mash - £2.70 How much would it charge for Egg & Mash?
The price of the given menu items can be used to find the price of Egg &
Mash to be £2.1.
Response:
The price for Egg & Mash is £2.1
Which method can be used to find the price for Egg & Mash?Let x represent the cost of Egg, let y represent the cost of Chips, let
z, represent the cost of Sausages, and a the cost of Mash we have the
following system of linear equations;
x + y = 3...(1)
z + y = 3.6...(2)
z + a = 2.7...(3)
x + a = Required
Solution:
Subtracting equation (1) from (2) gives;
z + y - (x + y) = 3.6 - 3 = 0.6
z - x = 0.6
Therefore;
z is £0.6 more expensive than x
x = z - 0.6
By plugging in the value of x = z - 0.6, gives;
x + a = z - 0.6 + a = z + a - 0.6
z + a = 2.7, which gives;
x + a = z + a - 0.6 = 2.7 - 0.6 = 2.1
Egg and Mash = x + a = £2.1Learn more about system of simultaneous equation here:
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270 students went on a field trip. 6 buses were each filled with s students. How many students were on each bus?
Answer:
45
Step-by-step explanation:
HELP ME PLEASE HURRY THIS IS DUE IN 30 MINS
Answer:
F(x)= (x-5)(x+3)
Step-by-step explanation:
we have two roots/ X-intercepts meaning we can assume that it is a quadratic function
Can anyone please help me with this? I’d appreciate it a lot!
Answer:
(−2, −3)
Step-by-step explanation:
Let's solve your system by substitution.
x−9y=25;6x−5y=3
Step: Solvex−9y=25for x:
x−9y=25
x−9y+9y=25+9y(Add 9y to both sides)
x=9y+25
Step: Substitute9y+25forxin6x−5y=3:
6x−5y=3
6(9y+25)−5y=3
49y+150=3(Simplify both sides of the equation)
49y+150+−150=3+−150(Add -150 to both sides)
49y=−147
49y
49
=
−147
49
(Divide both sides by 49)
y=−3
Step: Substitute−3foryinx=9y+25:
x=9y+25
x=(9)(−3)+25
x=−2(Simplify both sides of the equation)
Therefore answer:
x=−2 and y=−3 which is (-2, -3)
Hope it helps!
Tony wants to buy 2.3 pounds of dried berries and 2.6 pounds of trail mix. How much will he spend?
Tom earned 5600 last summer delivering newspapers. This summer, he earned 20% more. How much did he earn this summer?
Answer:
$6,720
Step-by-step explanation:
20% of 5600 is 1120.
1120+5600= 6,720
Estimate to compare. Select < or >. Round each number to the nearest whole number to estimate each sum.
2.73 + 5.28 ? 3.12 + 1.72
estimate estimate
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A sporting goods store sells square exercise mats that are 17 m on a side. Find the perimeter and area of the mat.
Answer:
Permeter= 68m
Area= 289m^2
Step-by-step explanation:
Perimeter = 17^4 = 68m cause perimeter is the total length and square has 4 sides
Area= 17 ^17= 289m^2
Area of square is to multiply length x length
The perimeter and area of the mat will be 68 meters and 289 square meters.
What is the area and perimeter of the square?All the sides of a square are congruent. Let a be the side length of the square. Then the area of the square is the square of the side length of the square.
The area of the square will be
A = a² square units
The sum of all the sides of the square will be known as the perimeter of the square.
The perimeter of the square will be
P = 4a units
A sporting goods store sells square exercise mats that are 17 m on a side.
The area of the square will be
A = 17²
A = 289 square meters
The perimeter of the square will be
P = 4 x 17
P = 68 meters
The perimeter and area of the mat will be 68 meters and 289 square meters.
More about the area and perimeter of the square link is given below.
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#SPJ2
Solve for x
2x-3x(3+2)=10
Answer:
Step-by-step explanation:
2x - 3x(3+2) = 10
Distribute the -3x to the numbers inside the parenthesis:
2x - 9x -6 = 10
Simplify:
-7x = 16
Isolated the x:
x = 16/-7
The table shows a probability of drawing numbered tickets from a jar if 8 tickets are randomly drawn how many tickets would be expected to have a number that ends with a 6
Answer:
4
Step-by-step explanation:
If you do .50 x 8 from each ticket being drawn and the probability you get 4
please help !!!!! If (x−3)^2=5, what values of x make the quadratic equation true?
Answer:
x = 3 ±√5
Step-by-step explanation:
We can take the square root of both sides of the equation:
(x -3)^2 = 5 . . . . . . . . given
x -3 = ±√5 . . . . . . . . square root
x = 3 ±√5 . . . . . . . . add 3
_____
Additional comment
It is a good idea to remember this process. It is the final step in solving a quadratic by "completing the square."
This shelf is perpendicular to the wall. The shelving bracket makes an angle with the wall that measures 120°. Find the measures of the two interior acute angles shown. A. 50° and 40° B. 30° and 60° C. 46° and 20° D. 50° and 50°
Answer:
B
Step-by-step explanation
i just did it
Answer:
(B) 30 and 60 degrees
Step-by-step explanation:
At what ordered pair is "Parking Lot B" located at?
The ordered pair of the parking lot is the coordinates of the lot in the coordinate plane
Parking lot B is located in the ordered pair (-3,4)
How to determine the ordered pair of lot BFrom the figure, we have the following highlights
Parking lot B is located at x = -3 on the horizontal axis, and it is located at y = 4 on the vertical axis.
So, we have:
(x,y) = (-3,4)
Hence, parking lot B is located in the ordered pair (-3,4)
Read more about ordered pairs at:
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A tractor-trailer travels 205. 296 miles in 3. 12 hours. What is the speed at which the tractor-trailer is traveling? A. 62. 05 miles per hour B. 63. 2 miles per hour C. 64. 05 miles per hour D. 65. 8 miles per hour E. 66. 5 miles per hour.
Answer:
65.8 mph
Step-by-step explanation:
What I did was I divided 205.296 by 3.12 and I got 65.8.
Darren purchased a bicycle for 25% of the original cost at Walmart if the original cost of the bicycle was $200 how much did Darren pay?
Claire decided to take 40k hike in the woods she completed 15km of the hike what percent did she complete?
carl drove 400km of a 12ookm trip what percent of the trip did he complete?
(Please help me quickly plss)
Please help me in this question!
Step-by-step explanation:
The second part fir y
Explained in pic
if the radius of a circle is increased by 50 perent what will be the percent increase in the circumfrence
Answer:
50%
Step-by-step explanation:
The equation for circumference is:
[tex]C=2\pi r[/tex]
In this case, the radius and the circumference are directly proportional meaning that if the radius increases by 50%, the circumference will also increase by 50%.
Let's use some examples to prove this:
Radius : 2
Increase by 50% : 2*50%=2*(50/100)=2(1/2)=1 --> 1+2 = 3
[tex]C=2\pi r=2\pi 3=6\rightarrow 50 \ percent\ increase\ from\ 4\\C=2\pi r=2\pi 2=4[/tex]
Radius : 4
Increase by 50% : 4*50%=4*(50/100)=4(1/2)=2 --> 2+4 = 6
[tex]C=2\pi r=2\pi 6=12\pi\rightarrow50\ percent\ increase\ from\ 8\\C=2\pi r=2\pi 4=8\pi[/tex]
In both cases, when we increased the radius by 50%, the circumference also increased by 50%, proving our previous statement correct.
Therefore, when the radius of a circle is increased by 50%, the circumference will also increase by 50%
Show all your work and the answer in the space below.
Answer:
m= 12
Step-by-step explanation:
[tex]\frac{3m+4}{8} = 5[/tex]
First multiply both sides by 8 to cancel out the 8 on the left side
[tex]3m + 4 = 80[/tex]
Isolate the m so subtract 4 from both sides.
[tex]3m = 36[/tex]
Divide both sides by 3.
[tex]m = 12\\[/tex]
In the year 2003, a company made $6.5 million in profit. For each consecutive year after that, their profit increased by 8%. How much would the company's profit be in the year 2007, to the nearest tenth of a million dollars?
Answer:
$8,580,000 (rounded) = $9,000,000
Step-by-step explanation:
Keep in mind, 2007 is four years after 2003.
So, 8(%) • 4 = 32(%)
Over the course of 4 years, the companies profits increased by a total of 32 percent.
(*Write 6.5m in standard form)
6,500,000 + 32% = $8,580,000
8,580,000 (rounded up) = 9,000,000
how many times does 144 go into 204?
Answer:
1.4166
Step-by-step explanation:
204/144
Hope this helps!!
Answer:
144 can go into 204 once cause if it goes twice it gonna be 288
(-2,3)
find tan cos sin
[tex]\huge \underline\frak \red{Answer}[/tex]
Given thing are
cos Θ = 2/3
we know that Cos Θ = Adjacent Side / Hypotenuse, so we get
Adjacent Side = 2
Hypotenuse = 3
Hypotenuse : BC = 3
Adjacent Side : AB = 2 (Adjacent to ∠ Θ)
Opposite Side : AC = ? (Opposite to ∠ Θ)
To find the Opposite Side - AC , we use Pythagoras theorem ((Hypotenuse)2 = (Leg 1)² + (Leg 2)²)
AC = √ BC² - AB²
AC = √ 32 - 22
AC = √ 9 - 4
AC = √5
Now we will try to simplify square root of 5. As no pairs can be made the final value will be
__
AC = √ 5
So Sin, Cos and Tan will be as follows -
Sin Θ = Opposite Side / Hypotenuse
__
Sin Θ = √5/3
Tan Θ = Opposite Side / Adjacent Side
__
Tan Θ = √5/2
Cos Θ = Adjacent Side / Hypotenuse
Cos Θ = 2/3
Suppose f(x) = x+1. Find the graph of
Click on the correct answer.
graph 1
graph 2
graph 3
graph 4
Answer:
see step-by-step
Step-by-step explanation:
can't see the graphs (too blurry)
but [tex]f(\frac{1}{4}x)=\frac{1}{4}x+1[/tex]
Therefore, the y-intercept = (0, 1)
and the x-intercept = (-4, 0)
It's either graph 1 or 4, but you'll have to check the axis intercepts.
please help me. B more than 9
Need help with MATH!!!!
Answer:
-47/48
Step-by-step explanation:
isaac parents paid $3,200 per month to rent an office space for their own business. Of this amount, $325 was for the utilities. What percent of their rental cost was for the utilities
Triangle BCD, with vertices B(-2,-7), C(-4,-2), and D(-7,-4), is drawn on the coordinate grid below.
What is the area, in square units, of triangle BCD?
(Geometry)
Answer:
[tex] \frac{4}{15} [/tex]
in percentages
If eight pencils cost 5.20 what is the unit price of pencils
8 divided by 5.2
that’s all it takes
Answer:
0.65
Step-by-step explanation:
Since we have given that
Cost of 8 pencils = 5.20
We need to find the cost of 1 pencil.
For this we'll use the unitary method,
5.20 divided by 8 = 0.65
Yolanda makes $11.25 per hour at her part-time job. During one week, she worked 1225 hours and also earned some tips. Her final pay for the week was $159.50.
How much money did Yolanda earn in tips?
Answer:
she earned $20 in tips
Step-by-step explanation:
- figure out how much she'll get payed in 12 hours of work, :
12 x $11.25 = $135 for 12 hours work, then find out 2/5 of $11.25 to find out how much she would get for the 2/5 of an hour she worked:
2/5 of $11.25 = $4.50, after all of that, add up both of these sums together to get her total pay for hours worked:
$135 + $4.50 = $139.50
now you need to subtract that sum from her total pay to find out how much money she earned in tips:
$159.50 - $139.50 = $20, so basically thats how i got 20.
You have Pennies and nickles that are equal to $8.80. You have twice the number of nickles than Pennies. Write an equation for this problem. How many nickles do you have and how many Pennies do you have?
Answer:
Step-by-step explanation:
Let's set up the variables as nickel=n and penny=p, for how many coins he has of each type. What we know is that Calvin had $8.80 total and that he has twice as many nickels as pennies. So, one equation for his total money and another for how many separate coins: 8.80 = 0.01p + 0.05n 2p=n
Solve 5p(2p - 3)(p + 7) = 0.
p=___, p=____, p=_____
Answer:
5p(2p-3)(p+7)=0
10p-15 p +7 =0
10p+p=0+15-7
11p =8
11p=8
p=8/11
Answer:
p=0, p=1.5, p=-7
Step-by-step explanation:
Assuming we need the equation to equal zero we do this.
5p(2p-3)(p+7)
5p = 0 (2p-3) = 0 (p+7)= 0 Separate each part
5(0) = 0 2(1.5)-3 = 0. (-7)+7 = 0 Replace P so the outcome is 0
p=0, p=1.5, p=-7 Solution