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
Helppppp!!!!!!!!! Plz
Answers
Which of the following is the radical expression of2 times d to the seven tenths power? (2 points)
a
seventh root of 2 d to the tenth power
b
tenth root of 2 d to the seventh power
c
2 times the tenth root of d to the seventh power
d
2 times the seventh root of d to the tenth power
Answers
How much more popcorn does the bigger box hold than the smaller box? cm^3
Answers
9514 1404 393
Answer:
70 cm³
Step-by-step explanation:
Amanda's container holds ...
V = LWH = (10 cm)(10 cm)(13.5 cm) = 1350 cm³
Mary's container holds ...
(8 cm)(8 cm)(20 cm) = 1280 cm³
The larger box holds 1350 -1280 = 70 cm³ more popcorn.
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Jose draws ABC. AB has a length of 10 inches and BC has a length of 15 inches.
Determine whether each measurement could be the length of AC.
Choose Yes or No for each measurement.
a. 4 inches Yes : No
b. 15 inches Yes : No
c. 23 inches Yes : No
d. 5 inches Yes : No
e. 25 inches Yes : No
f. 10 inches Yes : No
Answers
Answer:
Step-by-step explanation:
The length of AC should be between 5 inches and 25 inches
Jose in this problem draws a triangle, ABC.
We know the length of two sides of the triangle:
AB = 10 inches
BC = 15 inches
The length of the third side in a generic triangle can be calculated using the cosine theorem:
where
a, b, c are the three sides
is the angle opposite to side
Looking at the formula, we observe that:
- The maximum value for is obtained for , so that . In this case, the length of the missing side (AC, in this case) is
- The minimum value for is obtained for , for which , so in this case the length of AC is
So, the length of AC must be between 5 and 25 inches.
-Random Brainly user
Answer:
10 inches and yes
Step-by-step explanation:
if you start with A then draw a line to B which is 10 inches, then you draw to C 15 inches. to finish the triangle would be A to C which would be the same thenth as A to B. your only choice to finish the triangle is A to C. left and right side of the triangle would be the same. bottom of the triangle is 15, B to C
I need help with this if anyone got a answer tell me pls
Answers
Answer:
15
Step-by-step explanation:
30 + 4x=90
4x=60
x=15
The product of 1 1/2 and 2 is less than, equal to, or greater than 2
Answers
Answer:
The answer is 1 1/2 < 2
Step-by-step explanation:
If we convert 1/2 into a decimal, we would get .5. Add that to 1 and we get 1.5. Therfore, 2 > 1.5
Find the value of x. I WILL GIVE YOU BRAINLIEST!!!!
Answers
Hi there!
[tex]\large\boxed{x = 40}[/tex]
We can solve for x knowing that the sum of interior angles in a triangle is 180°.
The square at the bottom indicates a right angle, or 90°. Therefore:
180 = 90 + x + (x + 10)
Combine like terms:
180 = 100 + 2x
Subtract 100 from both sides:
180 - 100 = 2x
80 = 2x
Divide both sides by 2:
x = 40.
Answer:
hi
Step-by-step explanation:
x+90⁰+x+10=180
x+x+10=180-90
2x+10=90
2x=90-10
2x=80
x=80/2
x=40
have a nice day
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!! IF YOU PUT A LINK YOU WILL BE REPORTED!!!!!!!!!
Answers
Answer:
A. False
B. True
C. True
D. True
Step-by-step explanation:
Hey man good luck that’s all i can say brotha
What are the roots of the equation?
x2 + x - 6 = 0
Answers
Your answer:
x = 2, -3
A pool measuring 12 meters by 26 meters is surrounded by a path of uniform width, as shown in the figure. If the area of the pool and the path combined is 576 square meters, what is the width of the path?
The width of the path is __?__ meters
Answers
Answer:
path width = 3 m
Step-by-step explanation:
let x = the width of the path
(12 + 2x)(26 + 2x) = 576
312 + 24x + 52x + 4x² = 576
4x² + 76x - 264 = 0
divide both sides of the equation by 4:
x² + 19x - 66 = 0
(x + 22)(x - 3)= 0
x = 3 m
complete the inequality statement
4/13 __6/13
Answers
Solve for u. -5u/8=-10
Answers
Answer:
u 16
Step-by-step explanation:
Translate the English expression into an equivalent mathematical expression, then simplify.
If a person earns $326 for working 40 hours, what is that person’s hourly wage?
Answers
Sorry I am on mobile so I don’t have the sign.
This will show you how much hourly pay is though because the given salary is for 40 hours.
The probability that Tristan wins a certain game of chance is 1/4. If he plays the game 120 times, how many times can he expect to win the game? _________ times
Answers
He is expected to win about 30 times. 1/4 times 120
what adds to 3 and multiplies to -70
Answers
Hope this helps!
A pair of jeans is on sale for 20% off. The sale price is $55.00. What is the original amount of the pair of jeans?
Answers
Answer:
$86.75 i think
Step-by-step explanation:
Can someone please tell me the answer
Answers
It's B because 2 equals 86 dgrees since its vertical angles
What is the difference of 95,216 and 35,535? a59,681 b60,321 c60,781 D130,751
Answers
Answer:
the answer is A) 59, 681
Step-by-step explanation:
all you have to do is subtract
so 95,216 - 35,535= 59,681
hope i helped
-lvr
Emani borrowed $2,000 from his bank. The loan will be compounded quarterly for 3.5 years at an 8% interest rate. The full amount to the nearest
whole cent) he will owe to the bank (principal + interest) is:
Note: Use the formula: FV = P(1 + yt.
Answers
Answer:$3,661.24.
Step-by-step explanation:
Angles relationships
Answers
2x = 74
x = 74 ÷ 2
x = 37
that's all
Answer:
x = 37
Step-by-step explanation:
x2 = 74
74 ÷ 2 = 37
therefore the answer is x = 37
Pls help i'm lost il give brainly
Answers
Answer:
a= 16
b= -8
c= 6
d= -16
e= -4
Step-by-step explanation:
Answer:
Step-by-step explanation:
A= 16 degrees
B= -8 degrees
C= 6 degrees
D= -16 degrees
E= -4 degrees
The life in hours of a biomedical device under development in the laboratory is known to be approximately normally distributed. A random sample of 15 devices is selected and found to have an average life of 5625.1 hours and a sample standard deviation of 226.1 hours.
(a) Test the hypothesis that the true mean life of a biomedical device is greater than 5500 using the P-value approach.
(b) Construct a 95% lower confidence bound on the mean.
(c) Use the confidence bound found in part (b) to test the hypothesis
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
H0 : μ = 5500
H1 : μ > 5500
The test statistic assume normal distribution :
Test statistic :
(Xbar - μ) ÷ s/sqrt(n)
(5625.1 - 5500) ÷ 226.1/sqrt(15) = 2.1429 = 2.143
Pvalue from test statistic :
The Pvalue obtained using the calculator at df = 15 - 1 = 14 is 0.025083
α = 0.05
Since ;
Pvalue < α
0.025083 < 0.05 ; Reject H0
The confidence interval :
Xbar ± Tcritical * s/sqrt(n)
Tcritical at 95% = 1.761 ;
margin of error = 1.761 * 226.1/sqrt(15) = 102.805
Lower boundary : (5625.1 - 102.805) = 5522.295
(5522.295 ; ∞)
The hypothesized mean does not occur within the constructed confidence boundary. HENCE, there is significant eveidbce to support the claim that the true mean life of a biomedical device is greater than 5500
Which values are solutions to the inequality below?
Check all that apply.
x2 < 81
A. 6
B. 9
C. 10
D. -4
E. -9
F. -12
Answers
Answer:
Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.
Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.
Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.
Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.
2,451 people came to watch the Easter parade. 745 of those people were adults. How many children came to the parade?
Answers
Answer:f
Step-by-step explanation:d
how many pints are equal to 28 quartz
Answers
Answer: 56
Step-by-step explanation: PLZ GIVE BRAINLIEST!
Answer: 56 pints
Step-by-step explanation: Hope this help
2x+1=7 .explanation please
Answers
Answer:
x=3
Explanation
2x+1=7
Step 1: Subtract 1 from both sides.
2x+1−1=7−1
2x=6
Step 2: Divide both sides by 2.
2x/2 = 6/2
x=3
plz mark me as brainliest
Gabi has been watching TV for 26 minutes. It is now 5:48. What time did she start watching?
Answers
Ninety percent of the 50 members of Clean and Green Movement voted for the new
president. How many did not vote for the new president?
Answers
Answer:
5
Step-by-step explanation:
90% of 50 is 45.
So 50-45
5
Hope this helps
Will give brainliest
Find the area of the following
parallelogram:
2 cm
4 cm
3 cm
A= [?] cm?
Answers
Answer:
Area of the parallelogram =base×height
area of parallelogram =3cm×2cm
area of parallelogram = 6cm²
The area of parallelogram is 6 square units.
What is a parallelogram?A parallelogram is a quadrilateral whose opposite sides are parallel and equal in length. The opposite angles of a parallelogram are equal. The diagonals of a parallelogram bisect each other.
For the given situation,
The base of the parallelogram,b = 3 cm
The height of the parallelogram,h = 2 cm
The formula of area of parallelogram is
[tex]A=bh[/tex]
⇒ [tex]A=(3)(2)[/tex]
⇒ [tex]A=6[/tex]
Hence we can conclude that the area of parallelogram is 6 square units.
Learn more about parallelogram here
https://brainly.com/question/16056863
#SPJ2
(-3)(a +x), if a =8, x = -10
Answers
Answer:
6
Step-by-step explanation:
a =8
x = -10
(-3)(a +x)
(-3)(8 - 10)
(-3)(-2)
6