Answers
Answer:
f(x) = 4*(5/2)^x
Step-by-step explanation:
First, we know that our function has the points:
(0, 4)
(1, 10)
(2, 25)
The first one (0, 4) means that:
f(0) = 4.
Then you can evaluate the four given functions in x = 0 and see which ones meet this condition (have the outcome equal to 4)
Here we can discard the function f(x) = 15*x - 5 because:
f(0) = 15*0 - 5 = -5
Then this function is discarded.
Now let's look at the second point, (1, 10)
This means that f(1) = 10
Then you can evaluate the remaining functions in x = 1, and see if the outcome is equal to 10.
Here we can discard the first function f(x) = (x + 2)^2 because:
f(1) = (1 + 2)^2 = 3^2 = 9
So the output is not 10 as we wanted.
(while for the other two functions we have)
for f(x) = 6*x + 4
f(1) = 6*1 + 4 = 10
for f(x) = 4*(5/2)^x
f(1) = 4*(5/2)^1 = 4*(5/2) = (4/2)*5 = 10
Now we use the last point, (2, 25)
This means that when x = 2, the outcome needs to be equal to 25.
For the function f(x) = 6*x + 4 we have:
f(2) = 6*2 + 4 = 12 + 4 = 16
So we can discard this one.
Then we could conclude that the remaining option is the correct one, but let's ceck.
f(x) = 4*(5/2)^x
then for x = 2
f(2) = 4*(5/2)^2 = 4*(25/4) = 25
correct.
Then the correct option is f(x) = 4*(5/2)^x
Related Questions
Which of the fractions is equivalent to 2/5?
Answers
Answer:
4/10, 6/15, 8/20, 10/25
Step-by-step explanation:
Can somebody please help me with this question?
Answers
To find how many degrees a polygon's angles add up to, use the formula (n - 2) · 180, where n = the number of angles. So, since this polygon has 5 angles (it's a pentagon)
(5-2) · 180 = 3 · 180 = 540.
Now, all we have to do is add up all of the angles:
75 + 126 + 126 + 81 + c = 540
c = 132
John invests $15,000 in a savings account that pays 2.5% simple interest. If John makes no
withdrawals or deposits into the account, how much will be in the account after 9 years?
Answers
Answer:
18,375
Step-by-step explanation:
,........................................................................................l
Answers
C2>a2+b2 is it a obtuse right or acute
Answers
Answer:
obtuse
Step-by-step explanation:
When c, the hypotenuse, is greater than the legs (a and b), it's an obtuse triangle
A chili cook-off has adult tickets (a) and child tickets (c) . A group of Visitors buy three adult tickets and two child tickets and pays a total of $26. Another group buys five adult tickets and 3 child tickets and pays $42. Write and solve a system of equations to find the price of each type of ticket. (I just need the equations)
Answers
Answer:
Equation 1 would be: 3a+2C
Equation 2 would be: 5a+3C
Step-by-step explanation:
Two of the angles in a triangle measure 90 degrees and 7 degrees what is the measure of the third angle
Answers
90+7+83=180
Answer:
The third angle would be 83 degrees.
Step-by-step explanation:
Seeing that every triangle's angles will always add up to 180 degrees, we would do the following:
180-90=90
90-7=83 degrees.
What is the solution set for this inequality?
-8x + 32 -16
x < 6
x > 6
x > -2
x < -2
Answers
Answer:
x>-2
Step-by-step explanation:
-8x+32-16<0
-8x<16
divide both sides by -8
x>-2
that's because when you divide by a negative your inequality sign changes
Name the marked angle in 2 different ways.
V
U
S
T
Answers
Answer:
VUS, UST
Step-by-step explanation:
How many people ordered beer?
*it is not 15
Answers
Answer:
18 people ordered beer.
Step-by-step explanation:
15 + 3 = 18 people
Answer:
18
Step-by-step explanation:
Add the 15 as well as the three people who purchased both wine and beer. The total for beer purchases would be 18.
Can someone please help me out pleaseeeee !!!!!
Answers
Answer:
Step-by-step explanation:
0: -2
1: -4
2: -6
The area of a circle is 4 square centimeters. What is the circumference?
Answers
Step 1) get r from area= pi *r^2
2) found the centimeters
c. Translate the follom
4.) 51 - (x+5)
5.) 3(7-8)
Answers
Step-by-step explanation:
1. 51-x-5
= 46-x Answer
2. 21-24
= -3 Answer
The product of two factors is x2+ 6x + 8. If one of the factors is (x + 4), what is the other factor?
Answers
=x^2 +2x + 4x + 8
=x^2 + 6x + 8
the other factor is (x + 2)
Create an exponential function that models this situation based on the time in secons in the video.
B(t)= __
Answers
Answer:
B(t) = 2*[tex]2^{t}[/tex]Step-by-step explanation:
You have all correct choices.
We can use the given values and work out the equation:
B(t) = [tex]ab^{t}[/tex]B(0) = 2 ⇒ a*b⁰ = 2 ⇒ a = 2B(1) = 4 ⇒ a*b¹ = 4 ⇒ 2b = 4 ⇒ b = 2The function for this situation is:
B(t) = 2*[tex]2^{t}[/tex]Answer:
2(2)^t
Step-by-step explanation:
PLATO
please help and putting the steps would help
Answers
Answer:
x = 8
Step-by-step explanation:
These angles provided are alternate interior angles. That means they are congruent (equal). All you need to do now is answer the equation "8x-4 = 60".
From that you can see that x is 8.
Answer:
the angles are alternate interior angle pair, they are equal
8x - 4 = 608x = 64x = 8The radius of a sector is 1 m
a. Find the area of a 1° sector of the circle.
b. What is the area of the circle containing the sector?
c. If 360 of the 1° sectors of the circle are placed side by side to approximate a parallelogram, what is the approximate area of the parallelogram?
d. What is the difference of the areas in parts (b) and (c) as a percentage of the entire circle?
Answers
Which expression represents the distance between the two numbers on the
number line?
a. -1 + 2.5
b. -1 -2.5
c. 12.5 - (-1)
d. 12.5 -11
Answers
Answer:
B.
Step-by-step explanation:
........................
Please help me please hurry
Answers
Answer
899
Step-by-step explanation:
99
71 is 10% of what number?
52 is 97% of what Number?
Explain steps.
Answers
Answer:
71 is 10% of 710
52 is 97% of 5200/97
Step-by-step explanation:
Let’s start with 71 is 10% of what number.
basically, what this is saying, is that 71 = 10% times and unknown valu. We can set this as x.
so, 71=0.1x
divide on both sides,
710=x
now the second one.
repeat the same process.
52=0.97x
divide
5200/97 =x
Q: Find six rational numbers between 3 and 4 .
Answers
Answer:
Six rational numbers between 3 and 4 are 3.1, 3.2, 3.3, 3.4, 3.5 and 3.6.
Answer:
six rational numbers between 3 and 4 are 227 , 237 , 247 , 257 , 267 , 277
The population of a city decreases by 4% per year. If this year's population is 171,000, what will next year's population be, to the nearest individual?
Answers
6. cory gets paid every two weeks. he works 40 hours per week at $7.75 per hour. cory has the following deductions: 8% for medical insurance, 12% for federal and state taxes, and 10% for retirement. cory's net pay will be $________.
Answers
Answer:
$434
Step-by-step explanation:
Gross Pay
$7.75 per hour40 hours per weekPay received every 2 weeks⇒ Total gross pay = 7.75 × 40 × 2 = $620
Deductions
Medical insurance = 8%Taxes = 12%Retirement = 10%⇒ Total deductions = 8% + 12% + 10% = 30%
Net Pay
Net Pay = Total Gross Pay - Total deductions
= $620 - (30% of $620)
= $620 - (0.3 × $620)
= $620 - $186
= $434
Therefore, Cory's net pay will be $434.
Answer right and you get brainliest
What is the area
Answers
Area of triangle= 1/2 b x h
12 x 25=300/2 =150
i'll give brainliest
reflect (-4,4) in the x-axis
Answers
Answer:
(-4,-4)
Step-by-step explanation:
Anytime you reflect a coordinate point across the x-axis, the y-coordinate becomes its opposite and the x-coordinate stays the same.
In this coordinate: (-4,4)
Reflecting (-4,4) across the x-axis means the x-coordinate (-4) would stay the same and the y-coordinate (4) would become its opposite (-4).
The new coordinates after being reflected across the x-axis are (-4,-4).
Stella was out at a restaurant for dinner when the bill came. Her dinner came to $10. She wanted to leave a 25% tip. How much was her meal plus the tip, before tax, in dollars and cents?
Answers
Tip at 25% is $2.50
Total before tax is $12.50
Answer:
12.50
Step-by-step explanation:
C(4,4)
D(-8,0
B(6, -2)
A(-6, -6)
Answers
Answer:
I don't know how to do it the subject
The perimeter of a rectangle is 56mm. Three of the sides have a length of 15mm, 13mm, and 15mm. What is the side length?
Answers
a hardware factory produces 3.6 •10^5 bolts in 2400 minutes. what is the factory rate of production in bolts per minute
Answers
100,000*3.6
360,000
360,000/2400
I believe it’s 150 bolts per minute
help me with this please and if you can do a step by step it would help
Answers
Answer:
Angle 6x and Angle 5x + 10 are corresponding angle pair,
they are equal
6x = 5x + 106x - 5x = 10x = 10so each angle = 6 × 10 = 60°