Given:
The exponential function passes through two points (0,4) and (3,32).
To find:
The formula for the exponential function.
Solution:
The general form of an exponential function is
[tex]y=ab^x[/tex] ...(i)
where, a is initial value and b is growth factor.
The exponential function passes through two points (0,4) and (3,32). It means the function must be satisfy by these points.
Putting x=0 and y=4 in (i), we get
[tex]4=ab^0[/tex]
[tex]4=a(1)[/tex]
[tex]4=a[/tex]
Putting a=4, x=3 and y=32 in (ii), we get
[tex]32=4b^3[/tex]
Divide both sides by 4.
[tex]8=b^3[/tex]
Taking cube root on both sides.
[tex]2=b[/tex]
Putting a=4 and b=2 in (i), we get
[tex]y=4(2)^x[/tex]
Therefore, the required formula for the exponential function is [tex]y=4(2)^x[/tex].
Watch help video
If using the method of completing the square to solve the quadratic equation
X2 – 9x + 38 = 0, which number would have to be added to "complete the
square"?
Answer:
Step 1 Divide all terms by a (the coefficient of x2).
Step 2 Move the number term (c/a) to the right side of the equation.
Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.
hope this help
but this is little info dont worry i will answer your question just in a minute
Step-by-step explanation:
A seven-person relay team completed a race in 84.7 seconds. On average, what was each runner's time?
Answer:
12.1 seconds
Step-by-step explanation:
84.7/7 = 12.1
Answer:
12.1
Step-by-step explanation:
Divide the 84.7 by the # of people on team (7)
Need brief explanation about why false is correct
We are given the equation:
(a + b)! = a! + b!
Testing the given equation
In order to test it, we will let: a = 2 and b = 3
So, we can rewrite the equation as:
(2+3)! = 2! + 3!
5! = 2! + 3!
We know that (5! = 120) , (2! = 2) and (3! = 6):
120 = 2 + 6
We can see that LHS ≠ RHS,
So, we can say that the given equation is incorrect
SOMEONE, PLEASE HELP LITERALLY STRUGGLING!!!!!!
Circle 1 represents students involved with drama after school, circle 2 represents students involved in sports, and circle 3 represents students in academic club activities. What can you conclude about students who fit in region B?
A.
Region B represents the students involved in sports only.
B.
Region B represents the students involved in sports and academic clubs.
C.
Region B represents the students involved in drama and sports.
D.
Region B represents the students not involved in academic clubs.
Please select the best answer from the choices provided
A
B
C
D
Answer:
A
Step-by-step explanation:
Two liabraries donated to a local school. One library donated 786 books and the other library donated 1245 books. The school divided the books evenly among 11 classrooms. Estimate the number of books each classroom received. Check if the answer is reasonable.
Joe would have earned $504 for working a 42 hour week but he was sick and missed 4 hours. How much did he earn?
Answer: $456
Step-by-step explanation:
$504/42 hr = 12 per hour
4 hours = $48
$504 - $48 =
= $456
Answer:
He earned $456
Step-by-step explanation:
504/42=12
42-4=38
38*12=456
Good Luck!!!!
Estimate:
81 - 11.70 =
Answer:
the answer ur looking for
81 −11.7 ≈ 70
Find the area of the circle. Use pi =3.14 and round to the nearest hundredth. R=14m
Answer:
615.75 or 616.0
Step-by-step explanation:
what is 62 divided by 17 plus 29
I will mark brainliest
Answer:
32.647
Step-by-step explanation:
PLS HELP I ONLY HAVE HR
Question 4 (4 points)
(04.02)
The graph shows the amount of money paid when purchasing bags of candy at the zoo:
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 10. Four points are shown on the graph on ordered pairs 0, 0 and 1, 2 and 2, 4 and 3, 6. These points are joined by a line. The label on the x-axis is Bags of candy. The title on the y-axis is Total cost in dollars.
What is the cost of one bag of candy? (4 points)
a
$2
b
$4
c
$0
d
$6
Answer:
a $2
Step-by-step explanation:
One of the ordered pairs were (1, 2) which meant that at 1 bag of candy, the total cost in dollars is 2 based on the labelling of the x- and y-axis. Thus, the cost of one bag of candy is $2.
What is 37% of 600?
ANSWER CORRECT
Answer:
the answer is 222
Answer:
222
Step-by-step explanation:
To solve the equation above for X, you first switch the sides to get the X on the left side, then you multiply each side by 600, and then finally divide the numerator by the denominator on the right side to get the answer. Here is the work to illustrate:
37/100 = X/600
X/600 = 37/100
X*600/600 = 37*600/100
X = 22200/100
X = 222
it want me to type here sooo um brainleist for the one who gibs the correct answer!!
Answer:
70 + 95 = 5(14 + 19)
Step-by-step explanation:
To factor the expression, 70 + 95, using the GCF, take the following steps:
✔️Find the prime factors of each number:
Prime factors of 70 = 2 × 5 × 7
Prime factors of 95 = 5 × 19
Multiply the factors that both numbers have in common to get the GCF.
This, both number have only one factor in common which is 5.
Therefore, the GCF of 70 and 95 is 5.
✔️Factoring the experession given using the GCF, we have:
70 + 95 = 5(14 + 19)
what word problem would fit for 7x+10=-3x-2
Answer:
A number is multiplied by 7 and the added to 10 and it is equal to when -3 is multiplied by the same number and then 2 is taken away. Find the number.
Step-by-step explanation:
interpretation: 7x+10=-3x-2
2000x5000000000000000000000000000
Answer:
your answer is 1e+31
Step-by-step explanation:
Answer:
1e+31
Step-by-step explanation:
translate this sentence to an equation
38 is the product of Malik's score and 2. Use the variable m to represent Malik's score.
Answer:
Step-by-step explanation:
m * 2 = 38
Equation: 2m = 38
Solution:
2m = 38
m = 38/2
m = 19
Malik's score = 19
Answer:
Given :-38 is the product of Malik's score and 2. Use the variable m to represent Malik's score
To Find :-Marks scored by Malik
Solution :-The equation will be
[tex] \frak{2m = 38}[/tex]
Total marks
[tex] \tt \: m \: = \dfrac{38}{2} [/tex]
[tex] \tt \: m \: = 19[/tex]
The marks scored by Malik is 19
i need some help asap no rocky
Answer:
This is way out of my level sorry. Thanks me
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
math
Find the equation of the linear relationship
answer is 10---- i think
Answer:
y = -2x + 170
Step-by-step explanation:
(30, 110) (40, 90) y = mx + b
x1 y1 x2 y2 90 = -2 (40) + b
90 - 110 = -20 = -2 90 = -80 + b
40 - 30 10 +80 +80
170 = b
really hope this helps :)
help neededddd:))))))....
Answer:
Your answer is 3.
Step-by-step explanation:
I hope this helped.
If the value of y varies directly with x, which function represents the relationship between x and y when y = 16/5
and X=20
A. Y=25/4x
B. Y=116/5x
C. Y=4/25x
D. Y=64x
Answer:
C. Y=4/25x
Step-by-step explanation:
If y varies directly as x, tis is expressed as;
y ∝ x
y = kx
k is the constant of proportionality
Goven
y = 16/5 and x = 20
16/5 = 20k
16 = 100k
k = 16/100
k = 4/25
Substitute k = 4/25 into the original equation
y = kx
y = 4/25 x
Hence the required expression is y = 4/25 x
A factory employs over 3000 workers, of whom 30% are women. If the 15 members of the union executive committee were chosen from among the workers without regard to gender
Answer:
I think 4000 worker and I will be there at some point today and I
Connections Academy Geometry10A semester exam. Does anyone have the answers im 1% away from passing.
Answer:
probably not, but if you were to post the questions without it saying on it that its an exam (because those get deleted all the time) people could help you through it. :)
Step-by-step explanation:
Your baseball team has a goal to collect at least 160 blankets for a shelter. Team members brought 42 blankets on Monday and 65 blankets on Wednesday. Write and solve an inequality to find out how many blankets the team must donate on Friday to make or exceed their goal?
Yolanda deposited $2,130 into an account. She made no additional deposits or withdrawals. Yolanda earned 4.25% annual simple interest on the money in the account.
What was the balance in dollars and cents in Yolanda's account at the end of 4 years
Answer:
$2492.10
Step-by-step explanation:
Deposit amount = $2130Interest rate = 4.25% annual simpleTime = 4 yearsBalance at the end of 4 years:
$2130*(1 + 4*0.0425) = $2492.10simplify or solve the problem
4 ( 3x - 6 ) = 12
a) -3
b) 0
c) 3
A bag contains exactly three red marbles, five yellow marbles and two blue marbles. If three marbles are drawn from the bag without replacement, what is the probability that all three will be the same color? Express your answer as a common fraction
Answer:
11/120Step-by-step explanation:
Red = 3Yellow = 5Blue = 2Possible options would be red or yellow as only two blue marbles.
Probability of 3 red:
3/10*2/9*1/8 = 1/120Probability of 3 yellow:
5/10*4/9*3/8 = 1/12Probability of same three is:
1/120 + 1/12 = 11/120Which number is bigger: 1.58 or 1.025
Answer:
1.58 is bigger than 1.025
Step-by-step explanation:
Answer:
1.58 is greater
Step-by-step explanation:
because just compare the digits...in once place both are having same no. but in tenths place they are different since 5 is greater than 0
CAN SOMEONE HELP ME PLS
Michelle is planting flowers in her garden. She wants the ratio of daisies to carnations to be 3 to 2. Michelle wants to plant a total of 30 flowers. How many daisies should she plant?
Answer:
18 Daisies and 12 Carnations
Step-by-step explanation:
The total amount of flowers adds to be 30 therefore the amount of daises plus the amount of carnations should equal 30 (d+c=30). Then your ratio of daises to carnations is 3 to 2. Which means that you are going to have three daisies for every 2 carnations.
There are 32 Drama DVD's. The ratio of Drama DVD's to Mystery DVD's is
8:5. How many Mystery DVD's are there?
Answer:
20 Mystery DVD’s
Step-by-step explanation:
32/8=4
4*5=20
Answer:
There are 20 Mystery DVD's.
Step-by-step explanation:
Since the ratio of Drama to Mystery is 8:5, then we can conclude that 32:x is another equivalent form of the ratio, given that 32 represents drama, and x represents the unknown number of mystery.
Set up the ratios as 8/5 as one fraction, and 32/x as another, but make them equal each other. Cross multiply the numerators and denominators, then you will get 8x=160
divide both sides to solve for x.
x=20
If a data set has mean of 150 and a standard deviation of 25, what is the z-score of an element with a value of 250?
Answer:
Z-score is 4
Step-by-step explanation:
N(150, 25^2)
Use z-score formula (can be found from internet with miu and sigma symbol)
[tex]z = \frac{250 - 150}{25} \\ z = \frac{100}{25} \\ z = 4[/tex]