Answer:es x/3
Step-by-step explanation:
I REALLY NEED HELP 12 POINTS
8. The exponential function f takes the value 10 when x = 1 and 30 when x = 2.
a.) what is the y-intercept of f? Explain how you know
b.) what is an equation defining f?
Answer:
x = 2
Step-by-step explanation:
f(x) = x + 8
f(x) = 10
10 = x + 8
minus 8 from the both sides
10 - 8 = x
2 = x
x = 2
Hope this is right correct me if im wrong!!!
Exponential function is a function between the dependent variable and independent variable in which the constant change in the independent variable gives the same proportional change in the dependent variable.
a) y intercept of the function is 10/3. b) Equation defining function is,[tex]y=\dfrac{10}{3} \times 3^x[/tex]
Given information-
The exponential function [tex]f[/tex] takes the value 10 when,
[tex]x=1[/tex]
The exponential function [tex]f[/tex] takes the value 2 when,
[tex]x=2[/tex]
What is exponential function?Exponential function is a function between the dependent variable and independent variable in which the constant change in the independent variable gives the same proportional change in the dependent variable.
The general form of the exponential function,
[tex]y=ab^x[/tex]
Here [tex]a[/tex] is the y intercept of the function and exponent of independent variable [tex]x[/tex].
The exponential function [tex]f[/tex] takes the value 10 when the value of x is 1.
thus,
[tex]10=ab^1\\10=ab\\a=\dfrac{10}{b}[/tex]
Let the above equation as equation number 1.
The exponential function [tex]f[/tex] takes the value 2 when the value of x is 2,
[tex]30=ab^2\\30=ab^2\\a=\dfrac{30}{b^2}[/tex]
Compare the values of a,
[tex]\frac{10}{b} =\frac{30}{b^2}\\ b=\dfrac{30}{10}\\ b=3[/tex]
Put the value of b in equation 1,
[tex]a=\dfrac{10}{3}[/tex]
Thus the y intercept of the function is 10/3.
Put the values to find the equation,
[tex]y=\dfrac{10}{3} \times 3^x[/tex]
Hence,
a) y intercept of the function is 10/3. b) Equation defining function is,[tex]y=\dfrac{10}{3} \times 3^x[/tex]
Learn more about the exponential function here;
https://brainly.com/question/15352175
what's the value of given expression
[tex] \sqrt{12\times 9 +13 } [/tex]
Answer:
The answer is 11
Step-by-step explanation:
X/2.7 + 3.6=4.8 solve for x
Answer:
3.24
Step-by-step explanation:
1) minus the whole number, 3.6 from both sides:
x/2.7 +3.6 = 4.8 -----> x/2.7 = 1.2
2) multiply both sides by 2.7 to get the x value on its own:
x/2.7 = 1.2 -------> x = 3.24
3) finally x is on its own with a value on the other side... x = 3.24
please Help I will mark brainliest.
Answer:
False
Step-by-step explanation:
[tex]\frac{1}{6}[/tex]÷6 = [tex]\frac{1}{6}[/tex]×[tex]\frac{1}{6}[/tex]
Uh does anyone understand?
4 MPH was her to speed
A 12 pack of diet soda has dimensions 4.75in and 28.5in whats the volume of the 12 pack round to the nearest ten
Answer:
[tex]Volume = 643.0\ in^3[/tex]
Step-by-step explanation:
Given
Dimension: 4.75in, 4.75in and 28.5in
[The complete dimension is missing from the question]
Required
Calculate the volume
The volume is calculated as thus:
[tex]Volume = 4.75in * 4.75in * 28.5in[/tex]
[tex]Volume = 643.03125in^3[/tex]
[tex]Volume = 643.0\ in^3[/tex] --- approximated
PLEASE HELP ASAP! Answer + explanations :(
Uhm- What are you needing help on? Because there is no pic or numbers-
the diameter of a baseball is approximately 3 inches. what is it's volume? round your answer to the nearest whole number.
Answer:
14.14in cubed
Step-by-step explanation:
formula for volume of sphere is 4/3 x pi x radius to the power of three.
Since the diameter is 3, to find the radius we need to divide 3 by 2. So the radius is 1.5.
plug 1.5 in formula:
4/3 x pi x 1.5 to the power of 3
anwser: 14.14 or in terms of pi is 4.5pi inches cubed
Answer:
9?
Step-by-step explanation:
uhhhhhhhhhhhhhhhhhhhhhhhhhhh
PLEASE PLEASE PLEASE PLEASE PLEASE HELP MEEEE!! Which direction does y=-2x^2-4x-5 open?
left
right
upward
downward
Answer:
it opens downward
Step-by-step explanation:
Answer:
downward!
Step-by-step explanation:
4
Find the area of the shape.
Either enter an exact answer in terms of T or use 3.14 for it and enter your answer as a decimal.
The answer is 37.68
We need to find the area of the sector of the circle.
There is a missing part in the upper left part of the circle.
The upper left part central angle measure 90 degree becuase it has a perpendicular sign.
Using central angle and arc theorem, the central angle equal the arc measure so that arc measure is 90 degrees.
There is 360 degrees in a circle so using arc addition,
the rest of the arc measure 270 degrees.
We can use this formula to find the area of the sector
[tex] \frac{x}{360} \times \pi \times {r}^{2} [/tex]
where x is the measure of the central angle and r is the radius.
Plug 270 in for x. The radius is 4.
[tex] \frac{270}{360 } \times \pi \times {4}^{2} [/tex]
[tex] \frac{3}{4} \times \pi \times 16[/tex]
[tex]12\pi[/tex]
which is about
37.68
What’s the length of diagonal AC
A. 7.8cm
B. 10cm
C. 15.6cm
D. 3.9cm
The solution is Option C.
The length of the diagonal of the rhombus is AC = 15.6 cm
What is the perimeter of Rhombus?A Rhombus has four sides of the same length, its perimeter can be determined using the formula Perimeter = 4a, where "a" stands for the side's length.
When the two diagonals of a rhombus are known,
The perimeter = 2√p² + q²
where 'p' and 'q' are the diagonals.
Given data ,
Let the diagonal of the rhombus be represented as ABCD
Now , the diagonals of the quadrilateral bisects at the angle O , and the quadrilateral is a rhombus
Substituting the values in the equation , we get
The measure of side AC = measure of side BD
And ,
The measure of side AO = The measure of side OC
So ,
The measure of side AC = 2 ( measure of side OC )
On simplifying the equation , we get
The measure of side AC = 2 x ( 7.8 ) cm
The measure of side AC = 15.6 cm
Hence , the measure of side AC is 15.6 cm
To learn more about perimeter of rhombus click :
https://brainly.com/question/4321700
#SPJ2
You can buy 3 items for $6, how
much will it cost for 10 items?
Answer:
You can buy 3 items for $6, how
much will it cost for 10 items?
60$
Step-by-step explanation:
Answer:
$60
Step-by-step explanation:
6×10 then u will get your answer
Find the length of the line joining the points A(-4.8) and B(-1, 4).
Answer:
5
Step-by-step explanation:
You will need the distance formula.
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
Now you can plug in your 2 points.
A([tex]x_{1}[/tex], [tex]y_{1}[/tex])
B([tex]x_{2}[/tex], [tex]y_{2}[/tex])
[tex]d = \sqrt{(-1 - (-4))^2 + (4-8)^2}[/tex]= 5
change the mixed numbers to improper fractions 5
[tex]5\ \frac{1}{3} [/tex]
question in pic help plz ASAP 1 min
Answer:
i think the answer is D
Step-by-step explanation:
how do i find x??????
Which of these is the same as 6^10
1: 3^10 + 3^10
2: 6^2 + 6^5
3: 6^4 x 6^6
4: 3^5 x 2^2
Answer:
1 is the correct answer 3^10 +3^10
Answer:
4
is the correct answer because 3^5*2^2
3*3^5*2
6^10
I just need help solving this problem. Also please don't put the answer into a file because I can't open them. It's also really sketchy.
Answer:
Step-by-step explanation:
WILL MARK BRAINLIEST
write an equation that represents the line
Answer:
y= 6/5x-5
Step-by-step explanation:
Please solve for x. Give a real answer and I’ll be really grateful ✨
Answer:
x=-2, x=5
Step-by-step explanation:
it just is
Translate into an algebraic expression.
Three-fourths of v subtracted from 6 times two-ninths y
a
3/4v - 6 times 2/9y
b
4/3v - 6 times 9/2y
c
(6 times 2/9y) - 3/4v
d
(6 - 3/4v) times 2/9y
PICK 2 PLEASE HELP
Simplify the expression
-2.3(-4p+1)-0.7
Answer:
= 9.2p-3
Step-by-step explanation:
Please help asap im begging
Write each number in standard form.
6.7 × 101
Answer:
676.7
Step-by-step explanation:
Common standard form:
6.7(101) = 676.7
Standard form referring to scientific notation (if you're from Europe):
676.7 = 6.767 * 10^2
What value of n makes the
statement true?
nx(7 + 8) = (5 x 7) + (5 x 8)
Answer:
n=5
Step-by-step explanation:
i hope this helps :)
PLEASE HELP ITS DISTRIBUTIVE PROPERTY HELPPPPPPPPPPPPPPPPPPPPPPP EXPLAIN YOUR ANSWER PLEASEEE
can you solve this for me
Answer:
i cant see the link try reposting
Step-by-step explanation:
Answer:
35%
Step-by-step explanation:
Can someone help please? ( ignore the graphs ) i appreciate it!
Answer:
Infinite solution
Step-by-step explanation:
each is 1/3 when divided
Answerrr plzzzzzz ty:)
What are the Set of positive multiples of 3 that are greater than or equal to 6 and less than or equal to 12?
Answer:
6,9,12
Step-by-step explanation:
thats the answer they are all multiples of 3, and they are all greater than or equal to 6 and less than or equal to 12
hope this helps x
brainliest plz??
brainliest for correct answer
Answer:
A and E :)
Step-by-step explanation: