Given:
An exponential function goes through points (0,12) and (3,6144).
To find:
The exponential function.
Solution:
The general exponential function is:
[tex]y=ab^x[/tex] ...(i)
The function goes through point (0,12). Substituting [tex]x=0,y=12[/tex], we get
[tex]12=ab^0[/tex]
[tex]12=a[/tex]
The function goes through point (3,6144). Substituting [tex]a=12, x=3,y=6144[/tex] in the general exponential function, we get
[tex]6144=12b^3[/tex]
[tex]\dfrac{6144}{12}=b^3[/tex]
[tex]512=b^3[/tex]
[tex]512^{\frac{1}{3}}=b[/tex]
[tex]8=b[/tex]
Putting [tex]a=12,b=8[/tex] in (i), we get
[tex]y=12(8)^x[/tex]
Therefore, the required exponential function is [tex]y=12(8)^x[/tex].
What is the value of C so that X^2 + 15x + C is a perfect square trinomial?
O 30
O 15/2
O 15/4
O 225/4
Answer:
225/4
Step-by-step explanation:
x^2+15x+c
take half of 15 and square it
(15/2)^2
225/4
HELP DUE IN 5 MINUTES
Sebastian bought a 30-pack of mechanical pencils and plans to give the same number of pencils each to 6 friends
Which equation can he use to find p, the number of pencils each friend will receive?
p+6=30
p-36=30
6p=30
p/6=30
Answer:
6p=30
Step-by-step explanation:
Evaluate 4x^2+3y for x=5 and y=6
Answer:
2025+18=2043
Step-by-step explanation:
Answer:
118
Step-by-step explanation:
4x^2 + 3y
4(5^2) + 3(6)
4 * 25 + 18
100 + 18
118
Which equation can be used to solve for r in the following diagram?
60°
V
(4x – 20)
Answer:
c.
Step-by-step explanation:
60= (4x - 20)
expl: vertically Opposite angles
What is the value of 6n
2 when n =3?
Answer:
54
Step-by-step explanation:
6n²
= 6(3)²
= 6(9)
= 54
Please help! I will give Brainliest!
Who is correct?
Answer:
The inside angles have to equal 180 degrees so
So Hazel is correct
What is wrong with this solution? -6t + 16 = -8 Step One: -6t + 16 = -8 - 16 Step Two: -6 • -6t = -24 • -6 Solution: t = 144
Answer:
t = 4
Step-by-step explanation:
In step two, instead of multiplying by -6 on both sides, you need to divide by -6 to isolate t.
-6t = -24
÷-6 ÷-6
t = 4
When you multiply by -6 on both sides, the equation would be 36t = 144, which is not what we want. The opposite of multiplication is division, and in order to get the answer, you divide by the number multiplied.
Rajib wrote the equations y = 8 x minus 2 and y = negative 4 x minus 5. What can Rajib conclude about the solution to this system of equations? The point (2, 14) is a solution to this system of equations. The point (14, 2) is a solution to this system of equations. The point (Negative 4, negative one-fourth) is a solution to this system of equations. The point (Negative one-fourth, negative 4) is a solution to this system of equations.
Answer:
The point (Negative 4, negative one-fourth) is a solution to this system of equations
Step-by-step explanation:
y = 8x - 2
y = - 4x - 5
y - 8x = - 2 - - (1)
y + 4x = - 5 - - - (2)
Subtract 1 and 2
-8x - 4x = - 2 - (-5)
-8x - 4x = 3
-12x = 3
x = - 1/4
y = 8(-1/4) - 2
y = - 2 - 2
y = - 4
(-1/4, - 4)
Answer:
hello! your answer is D! :)
Step-by-step explanation:
i took the test.
can someone pls help and pls dont get it wrong
Answer:
D
Step-by-step explanation:
The inverse property states that any number multiplied by its reciprocal equals 1.
1. A new company wants to mail out samples of its hair products. The company has a sample box that is a rectangular prism with a rectangular base with
an area of 23 1/3 sq. in. The height of the prism is 1 1/4 in. Determine the volume of the sample box
A.24 7/12 sq. inches
B. 24 7/12 cubic inches
C.175/6 sq. inches
D. 175/6 cubic inches
Answer:
Volume of rectangular prism = 175 / 6 inch³
Step-by-step explanation:
Given:
Base area of rectangular prism = 23 ¹/₃ inch² = 70 / 3 inch²
Height of rectangular prism = 1 ¹/₄ inch = 5 / 4 inch
Find:
Volume of rectangular prism
Computation:
Volume of rectangular prism = Base area of rectangular prism x Height of rectangular prism
Volume of rectangular prism = [70 / 3] x [5 / 4]
Volume of rectangular prism = [350 / 12]
Volume of rectangular prism = 175 / 6 inch³
THE FASTEST AND MOST ACCURATE GETS THE BRAINLIEST NO LINKS PLS. Hannah and Harold are making cookies for a bake sale, and they need to make a lot of them. They need to make 70 baggies of cookies that each have 4 cookies in them. The recipe they are using says that one batch will make 2 dozen cookies.
Answer:
They need to make at least 12 batches.
Step-by-step explanation:
First, we need to find how many cookies in total, so we multiply 70 by 4.
70*4 = 280.
Secondly, 1 batch makes 2 dozen cookies, or technically 24 cookies. So we need to find how many batched with 280 divided by 24. This results in 11.6 repeating. But if you round it up, you get 12.
Time to check:
12 * 24 = 288. So it's the amount of cookies needed with 8 remaining.
Hope this helps.
Each table in a library can seat up to 5 people. There are enough tables for 75 people. How many tables are there in the library?
Answer:
15 tables
Step-by-step explanation:
75/5 = 15
Answer:
There are 15 tables in the library.
Step-by-step explanation:
You know this because you know the library holds 75 people and you know how many people can sit at a table so to find the answer you divide 75 by 5 and you get 15. To check this you can multiply 15 by 5 and you will get 75.
Which of the following lists is in order from smallest to largest?
0.2, 0.05, 0.48, 0.6
0.2, 0.48, 0.05, 0.6
0.05, 0.2, 0.6, 0.48
0.05, 0.2, 0.48, 0.6
Answer:
0.05, 0.2, 0.6, 0.48 I think
Answer:
0.05,0.2.0.60,0.48
Step-by-step explanation:
hope it helps ... kinda confused betwweeen 0.6 and 0.48
Represent 300 as an exact value in lowest form
0912
o 11/4
O
1073
0 65
Answer:
10√3
Step-by-step explanation:
Square the first number
100*3 is 300
100 is square root of 10
Find the length of the third side. If necessary, round to the nearest tenth.
1
20
10
Answer:
add more information
Step-by-step explanation:
Graph y = 2x and y= 2x
What x-values are solutions to the system?
Answer:
Wait u gave the same equation twice, do u mind checking back to it?
Step-by-step explanation:
Find the value of x.
:]]
Answer:
144
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
This is a right angle (complementary angles) so 90-43 is 47 and the angel is x - 7 so you have to add 7. Answer is 54 <3
Play practice starts at 7:15 P.M. Will needs 35 minutes to eat dinner, 20 minutes to get ready, and 25 minutes to get to the school theater. What is the latest time Will should begin eating dinner if he wants to be on time for play practice?
Answer:
5:55
Step-by-step explanation:
You add the minutes together and subtract it from the 7:15
=5:55pm
Shoes that normally cost $79.99 are on sale for
15% off. What is their sale price?
$79.99 - 15% = $67.9915
...........,..................................
Lynnette can wash 959595 cars in 5 days.
How many cars can Lynnette wash in 11 days?
Answer:
Lynnette can wash 2111109 in 11 days
Step-by-step explanation:
Have a good day :)
Please help me I need help I give brainly:)
Answer:
i don't know how i can help you
Step-by-step explanation:
HELP PLEASE!! VERY FAST!!
Answer:
the correct answer is option B. V only
Use distribute property to multiply!
7(42)
Answer:
294
Step-by-step explanation:
7 x 42 =
(7 x 40) x (7 x 2) =
280 + 14 =
294
What should be done to these equations in order to solve a system of equations by elimination?
I- 3x + 2y = 16
12x + 5y = 21
Choose one correct answer:
Multiply the first equation by 2 and the second equation by 3.
Multiply the first equation by 3.
O Nothing needs to be done, since they both equal have 2's and 3's for coefficients.
O Multiply the first equation by
3 and the second equations by 2
Answer:
B is the correct answer
Step-by-step explanation:
Since it gets rid of the y so you could find the x and then work around to find the Y.
Answer:
Multiply the first equation by 3.
Step-by-step explanation:
A bus driver took 4 ¾ hours to complete a journey. How many minutes is this?
Answer:
624 minutes and 10 seconds
what is the area of a rectangle with sides of 4 inches by 8 inches
Answer:
32
Step-by-step explanation:
[tex]4 \times 8 = 32[/tex]
left f(x)=|x| and g(x)=x+2. what are the domain and range of (f°g)(x)
Answer:
[tex](fog)(x)=|x+2|[/tex]
[tex]Dom_{fog} = R[/tex]
[tex]Range_{fog}=[0,\infty)[/tex]
Step-by-step explanation:
Un túnel se construye de manera que el claro sea un rectángulo de ancho X largo 2X. El concreto para sostenerlo en la parte de arriba tiene un espesor de 2M y a los lados un espesor de 1M. La superficie de la sección transversal del concreto es de 62 M2
Answer:
bfghfghhghsgssfhfgggggggggggStep-by-step explanation:
hghgsrhgtgthtrh
write an equation represented by the graph shown !
Answer:
y = |x+1.5|
Step-by-step explanation:
Start with the graph of y = |x|. To shift it left by 1.5 units, replace x with x+1.5.
General rules for shifting graphs:
Shift y = f(x) up by a units: y = f(x) + aShift y = f(x) down by a units: y = f(x) - aShift y = f(x) left by a units: y = f(x + a)Shift y = f(x) right by a units: y = f(x - a)Answer:
y=abs(x+1.5)
Step-by-step explanation:
The diameter of a circular coffee can lid is 5 inches. Which measurement is closest to the area of the coffee can lid? A. 7.9in. B. 19.6in C. 31.4in D. 78.5in
Answer:
Step-by-step explanation: