the graph models the projected populations, in thousands, of two towns after x years. both towns experience a 1.9% annual growth rate. which equation represents g(x) as a transformation of f(x)?
a. g(x) = f (x+3/5)
b. g(x) = f (x-5/3)
c. g(x) = f (x) + 3/5
d. g(x) = 5/3 * f(x)
Answers
Answer:
d. g(x) = 5/3 * f(x)
Step-by-step explanation:
A transformation is the movement of a point from its initial position to a new position. Transforming an object involves transforming all the points in the object. Types of transformation are rotation, reflection, dilation and translation.
From the graph When x = 0, y = f(0) = 30, also when x = 16, y = f(16) = 40
For the graph of g(x), when x = 0, y = g(0) = 50 and when x = 16, y = g(16) = 67
This means that g(x) = 5/3 * f(x), g(0) = 5/3 * f(0) = 5/3 * 30 = 50, also g(16) = 5/3 * f(16) = 5/3 * 40 = 67
Answer:
D.)
Step-by-step explanation:
Related Questions
A commercial jet liner hits an air pocket and drops 223 feet. After climbing 177 feet it drops another 162 feet. What is its overall vertical change?
The jets overall vertical change is
?? feet
Answers
Answer: it's 248 I just did the question .
Step-by-step explanation:
Pls helppp me this is very very urgent
Answers
Answer:
1. 5040
2. 20
Step-by-step explanation:
1. using the formula for permutation
nPr=n!/(n-r)!
10P4 = 10!/(10-4)!
=10*9*8*7*6!/6!
then we are left with
=10*9*8*7
=5040
2.using the formula for combination
nCr=n!/(n-r)!r!
6C3=6!/(6-3)!3!
=6*5*4*3!/3!3!
=6*5*4/3*2*1
=20
Please help me with question
Answers
Answer:
4 hours 7 minutes
Step-by-step explanation:
Since Trevon takes 10 hours to clean the attic, he cleans 1/10, 10% or .1 of the attic per hour. Since Cody takes 7 hours to clean the attic, he cleans 1/7, 14.3% or .143 of the attic per hour.
Together, that means they clean .1 + .143 of the attic per hour. That's an hourly rate of:
.1 + .143 = .243
The portion of the attic they clean in x hours is .243x. We'd like to know how long it will take them to clean 100% or 1 of the attic. So:
.243x = 1 Divide each side by .243
x = 1/.243
x ≈ 4.115
Let's convert .115 to minutes by multiplying by 60
.115 * 60 = 6.9 round to 7 for 7 minutes
It will take them around 4 hours 7 minutes to clean the attic.
please help me on this
Answers
Answer: True
Step-by-step explanation: The altitude of an isosceles triangle can be drawn from the vertex angle and be proven to be a median
A circular go-kart track has a diameter of 75 meters. Approximately how long is the track? A225 meters B100 meters C750 meters D500 meters
Answers
Answer:
235 metersStep-by-step explanation:
This problem is on the mensuration of flat shapes, a circular shape.
the problem also requires that we find the perimeter of the circular track
the expression for the perimeter of a circle is given as
[tex]C= 2\pi r[/tex]
Given
diameter of the circular track = 75 meters
radius of circular track = d/2 = 75/2= 37.5 meters
Substituting our data into the expression for perimeter we have
[tex]C= 2*3.142 *37.5\\\\C= 235.65[/tex]
Approximately the length is 235 meters.
I NEED HELP SO BADLY!!!!!!!!!! WHAT IS THE PERIMETER????? IF CORRECT, I WILL GIVE U BRAINLIEST
Answers
Answer: 34
Step-by-step explanation: B=10 S1=12 S2=12. Add them up
Answer:
I'm assuming the sides are 12 and the bottom 10 so your perimeter is 34
If you count the boxes the line of the triangle takes up, its 12 and the bottom is 10
Sides: 12
bottom: 10
If you add them up:
12 + 12 + 10 = 34
2(4x-6) = 4(3x-7) what is x
Answers
Answer:
The value of x in this equation is -4.
Step-by-step explanation:
2(4x - 6) = 4(3x - 7)
Distribute 2 to (4x - 6) and distribute 4 to (3x - 7)
8x - 12 = 12x - 28
Subtract 12x form both sides of the equation.
-4x - 12 = -28
Add 12 to both sides of equation.
-4x = 16
Divide -4 on both sides of the equation.
x = -4
The value of x is -4.
Answer:
x=4
Step-by-step explanation:
Starting with 2(4x-6) you apply the distributive law: a(b-c) = ab - ac
a =2, b=4x, c=6
2(4x-6) = 2*4x-2*6 Then multiply the numbers 2*4
8x-2*6 = multiply 2*6
8x-12
Then for 4(3x-7) you apply the distributive law.
a =4, b=3x, c=7
4*3x-4*7 multiply 4*3
12x-4*7 multiply 4*7
12x-28
Then the equation would be 8x-12 = 12x-28. Add 12 to both sides.
8x=12x-16 Subtract 12x to both sides
-4x=-16 divide both sides by -4
then you'll get Positive 4 as your x.
Make M the subject of the expression T = WP [ M² - ( M-S)² ]
Answers
Answer:
see below (I hope this helps!)
Step-by-step explanation:
T = WP [ M² - (M - S)² ]
T = WP [ M² - (M² - 2MS + S²) ]
T = WP (2MS - S²)
T = 2WPMS - WPS²
T + WPS² = 2WPMS
M = (T + WPS²) / (2WPS)
5 more than 2 times a number
Answers
Answer:
2x+5
Step-by-step explanation:
Five more than two times a number would be 2 times x which is a number plus five because more means adding
Multiply the trinomials.
(zº-x+9)(+*+x+15)
A. X* - 23x? - 16x + 135
B. **+23x? - 6x +135
C. X* + 3x? - 16x+135
D. **- 3x² - 6x +135
Please select the best answer from the choices provided
Answers
Answer:
b
Step-by-step explanation:
If the number 4 were added to the set { 2,3,3,3,4,5,8 }, which central tendency would change?
Answers
Answer:
The central tendency that changes is the median.
Step-by-step explanation:
- The mean without number 4 is 28.
28/7 = 4
But if we add the 4, the mean would be 32.
32/8 = 4
The mean does not change.
- The mode also does not change because the number that appears most frequently is 3.
- And the range does not change either since the range is the subtraction of the largest number with the smallest, in this case:
8 - 2 = 6
- On the other hand, the median is the middle number, without 4 the median would be 3, but with 4 the median would be 4 + 4/2, which is the same 4.
Find the number by which 4732 should be divided to get perfect square.
Answers
Answer:
7
Step-by-step explanation:
Prime factors of 4732:
4732 = 2² × 7 × 13²As we see if we remove 7 from the factors list, we get the perfect square of 2²×13²= 26²
So the number by which 4732 should be divided is 7
4732/7 = 676 = 26²A student used the graph below to identify the minimum/maximum. The student said the graph had a maximum of 1. Explain the students mistake and how the student can tell the difference between a maximum and minimum. (Write your answer in at least 2 complete sentences).
Answers
Answer: Answer is in the step.
Step-by-step explanation:
The student made a mistake by identifying the maximum point by the x coordinate value of the vertex. Minimum or maximum points are determine using the y coordinate value.The student can determine the difference between a maximum and minimum by identifying the y coordinate of the vertex.
Mrs. Grundy has two children. Given that Mrs. Grundy has at least one child born on a Monday, what is the probability that both her children were born on Mondays? Assume that each child was equally likely to be born on any day of the week, and that the two birthdays are independent (Mrs. Grundy doesn't have twins!).
Answers
Answer:
1/7
Step-by-step explanation:
If one child was born on a Monday, then we don't have to consider that when solving the question, as it asks if both children were born on a Monday.
Thus, we only need to find the probability that the second child is born on a Monday. Since there are 7 days in a week and equally likely that the child is born on any day, then the probability of the child being born on a Monday would be 1/7.
help!! Ill give you 33 points!!!!
Answers
Direct variation uses the equation y = kx, where I is the constant of variation.
1. Is not a direct variation because the line is curving so the change in x is not constant.
2 and 3 Are straight lines, so Show direct variation. You can find 2 points on each line and calculate the slope which would be a constant variation.
help..help..!! ASAP..
Answers
so you divide the rational number if the decimal on both sides if one is greater and the other less than the number that's greater should have the greater sign. but, if theres a number that's less then you should put the less than sign and if both numbers are the same number you should put the equal sign
Can someone help me please
Answers
The two “triangles” (the second one is inside the first) formed by Julie and the tree and their shadows are similar triangles, meaning that they have proportional leg lengths.
Therefore, you can make a ratio between each triangle’s pair of legs (i.e. AB:BD and EC:CD).
The tree’s shadow is a sum of Julie’s shadow and the distance between them, so its length would be x + 56 feet.
You would set up the ratios in order like so:
AB EC
BD equals CD
(Imagine there are fraction lines between AB/BD and EC/CD.)
You can solve the unknown factors in the ratio by cross-multiplying and isolating x:
i.e. if AB = x
x EC
BD equals CD becomes CD*x = BD*EC.
If there are two instances of x (like “x” and “x + 56” in the case of this problem), you can subtract one from the other to “isolate x” (i.e. 3x = x + y becomes 2x = y).
A model of a car has a scale of 1:25.
The model is 18 cm long.
Calculate, in metres, the actual length of the car.
Answers
Assuming you are saying 1 cm to 25 cm, the answer is 450 cm or 4.5 meters.
For every 1 cm of the model, it is 25 cm in real life.
The model is 18 cm long.
18×25=450 cm
There are 100 cm in a meter.
450÷100 is 4.5
The car is 4.5 meters in real life.
♡ Hope this helps! ♡
❀ 0ranges ❀
A man buys a certain number of Litchies at 20 per rupee and equal number at 30 per rupee. He
oranges at 90 paisa each. If he plans to make a profit of
of the oranges ?
b)
mixed them and sold them at 25 per rupee. Find his gain or loss percent.
150/
If he sold it for Rs 81 less, his loss would have been
Answers
Full question :
A man buys a certain number of oranges at 20 for Rs. 60 and an equal number at 30 for Rs. 60. He mixes them and sells them at 25 for Rs. 60. What is the gain or loss percent?
Answer:
4% loss(percentage loss on cost price)
Step-by-step explanation:
we will be employing algebra in solving this problem :
20 oranges at 60 Rs=60Rs/20 per orange=3Rs per orange
Say x oranges bought at 3Rs per orange=3Rsx
Equal number of oranges at 30 oranges for 60 Rs=60Rs/30 per orange=2Rs per orange
Say x oranges bought at 3Rs per orange=2Rsx
Total Cost Price = 3Rsx + 2Rsx = 5Rsx
He then sells all oranges at 25 for 60 Rs
Therefore price per orange=60/25=12/5Rs
since he sold x+x oranges(from the above calculations)
Total selling price=total oranges *12/5Rs=2x oranges*12/5Rs=24x/5Rs
Profit or loss=24x/5-5x=-x/5
therefore we have a loss =-x/5
Percentage of loss(on cost price)
=x/5÷5x∗100=
=1/25∗100=4%
does anyone know this?
Answers
Answer:
f(-9) = 279
Step-by-step explanation:
f(x) = 4x^2 + 7x + 18
f(-9) = 4(-9)^2 +7(-9) + 18
= 4(81) - 63 + 18
= 324 - 63 + 18
= 279
(0.04)
3x + 2y?
What is the value of the expression above when x = 3 and y = 4? You must show all work and calculations to receive full credit.
* G G
Source ✓ C
B I 5 xu xê
Format
IX = :: HE " ES
Styles
Answers
Answer:
17
Step-by-step explanation:
3x + 2y = 3(3) + 2(4) = 9 + 8 = 17
Answer:
[tex]\huge\boxed{17}[/tex]
Step-by-step explanation:
[tex]3x+2y\\\\\text{When: }\boxed{x=3; y=4}\\\\3(3)+2(4)\\\\3*3+2*4\\\\9+8\\\\\boxed{17}[/tex]
You are at a restaurant and the check comes to a total of $37. If you want to leave a
19% tip, how much total money should you pay, to the nearest cent?
Answers
Answer:
$44.03
Step-by-step explanation:
Payment due:
$3719% tip:
$37*0.19 = $7.03Total payment:
$37+ $ 7.03= $44.03$ 44.03 to be paid in total including 19% tip.
Answer:
the tip you would give is $7.03
on a map the scale shown is 1 inch = 5 miles if a park is 75 square miles what is the area of the park on the map
Answers
Answer:
75 miles squared
Step-by-step explanation:
First we have to convert 1 inch = 5 miles to square miles as that is what we are trying to get
So, 1 inch squared = 25 miles squared
To get 75 miles squared, we multiply both sides by 3.
So 3 * 1 inch squared = 3 * 25 miles squared
Gets us 3 inch squared = 75 miles squared
Combine the radicals 4V7 +3V28
Answers
Answer:
The answer is
[tex]10 \sqrt{7} [/tex]Step-by-step explanation:
To solve the radicals make sure that they both have the same radical
That's
[tex]4 \sqrt{7} + 3 \sqrt{28} [/tex]Simplify 3√28 in order to combine the radicals
We have
[tex]3 \sqrt{4 \times 7} = 3 \times \sqrt{4} \times \sqrt{7} [/tex][tex] = 3 \times 2 \times \sqrt{7} [/tex][tex] = 6 \sqrt{7} [/tex]So we now have
[tex]4 \sqrt{7} + 6 \sqrt{7} [/tex]Using the rules of surds
That's
[tex]x \sqrt{a } + y \sqrt{a} = (x + y) \sqrt{a} [/tex]Simplify the expression
We have
[tex]4 \sqrt{7} + 6 \sqrt{7 } = (4 + 6) \sqrt{7} [/tex]We have the final answer as
[tex]10 \sqrt{7} [/tex]Hope this helps you
Answer:
Step-by-step explanation:
[tex]4\sqrt{7}+3\sqrt{28}=4\sqrt{7}+3\sqrt{2*2*7}\\\\\\ =4\sqrt{7}+3*2\sqrt{7}\\\\\\= 4\sqrt{7}+6\sqrt{7}\\\\\\=(4+6)\sqrt{7}\\\\\\ =10\sqrt{7}[/tex]
Does x=-3 fall on the interval (-♾, -4)? Yes or no and why:
Answers
-3 is greater than -4 and does not lie in the range between (-infinity, -4)
Number line:
<————-o—-|——|——-...
-infinity -4 -3 -2
evaluate 3+11t−9u when t=9 and u=11
Answers
Answer:
3Step-by-step explanation:
[tex]3+11t-9u\\t = 9\\u =11\\\\3+11(9) -9(11)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:11\left(9\right)\::\quad 99\\=3+99-9\left(11\right)\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:9\left(11\right)\::\quad 99\\=3+99-99\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:3+99-99\:\\:\quad 3[/tex]
Answer:
[tex] - 19[/tex]
Step-by-step explanation:
[tex]3 + 11t - 9u = 3 + 11(9) - 9(11) = 3 + 99 - 121 = - 19[/tex]
5. Simplify the expression.
5+4·(8 — 6)2
013
O21
036
040
Answers
Answer:
21
Step-by-step explanation:
Use PEMDAS
P ---> Parenthesis
E ----> Exponents
M & D -------> Multiplication & Division
A & S ------> Addition & Subtraction
5 + 4*(8 - 6)² = 5 + 4*(2)²
= 5 + 4*4
= 5 + 16
= 21
Convert a distance of 4500 yards to miles
Answers
Answer:
2.556818 miles
Step-by-step explanation:
Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y)
Answers
Answer:
f (x,y) = sin (x,y) & points = (1,0)
Maximum rate of change in f at given point & direction = 1
Step-by-step explanation:
The function & points are not given,
Considering them as general example : f (x,y) = sin (x,y) & points = (1,0)
Maximum rate of change in f (x,y) happens in direction of ∇ f (1,0)
∇ f (x,y) = [ df / dx , df/ dy ]
= [ y cos (xy) , x cos (xy) ]
∇ f (1,0) = [ 0, cos (0) ] = (0,1)
Magnitude at (1,0) = ∇ f (1,0) = √ 0^2 + 1^2 = 1
Solve the following equation for the variable. 2m – 3 =23
m =
What was the FIRST step?
Answers
Answer:add 3
Step-by-step explanation:
+ 3 + 3
2m = 26
/ 2 / 2
m = 13
The first step is to add three to each side. And m is equal to 13.