Answers
Answer:
a = 8, b = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given the exponential function
f(x) = a[tex]b^{x}[/tex]
To find a and b use the given coordinate points on the graph
Using (0, 8 ), then
8 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , then
a = 8
f(x) = 8[tex]b^{x}[/tex]
Using (2, 18 ) , then
18 = 8b² ( divide both sides by 8 )
[tex]\frac{18}{8}[/tex] = b² , that is
b² = [tex]\frac{9}{4}[/tex] ( take the square root of both sides )
b = [tex]\sqrt{\frac{9}{4} }[/tex] = [tex]\frac{3}{2}[/tex]
Thus
f(x) = 8[tex](\frac{3}{2}) ^{x}[/tex]
Related Questions
A ceramic vase that cost an antique store $5 was marked $20. What is the percentage markup on the price of the ceramic vase?
15%
75%
300%
400%
Answers
How many 24-foot jump ropes can be made from a rope that is 100 feet long? Only include numerical answer.
Answers
100/24=4.17
You cannot have part of a jump rope, so you have to round the answer down to 4
Write the equation of the line in slope-intercept form (y = mx + b) that has a slope of 4 and passes through the point (0,2).
Answers
Answer:
I need a graph.
Step-by-step explanation:
You can also use rise over run to help you. However if you are stating me that 4 is slope. Then it will be y=4x+ something because I am not sure if 2 is the y intercept even though its on the y-axis.
Write and evaluate the expression. Then, complete the statements.
Ivan lost twenty dollars. Evaluate when d = $35.
The expression to model the situation is
.
The value of the expression when d = $35 is
.
PLS HELP FAST!
Answers
Answer:
The expression to model the situation is
✔ d - 20
The value of the expression when d = $35 is
✔ $15
.
Step-by-step explanation:
i just took the test
Answer:
Step-by-step explanation:
the sum of two and a number is less than five
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
Given the English statement
''The sum of two and number is less than five''.
Let us breakdown the statement.
Let 'n' be the number. The sum of two and number = 2 + nWe know that the less than symbol is denoted by '<' which is used for comparison.
Thus, the statement 'The sum of two and a number is less than five' is algebraically represented as:
2 + n < 5Let us solve the algebraic expression.
[tex]2+n<5[/tex]
Subtract 2 from both sides
[tex]2+n-2<5-2[/tex]
Simplify
[tex]n<3[/tex]
Thus, the solution is:
[tex]2+n<5\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:n<3\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:3\right)\end{bmatrix}[/tex]
Please also check the attached solution line graph.
I NEED HELP REALLY QUICK (IN DBA)
find the dot product of the uv given: u v=
Answers
9514 1404 393
Answer:
19
Step-by-step explanation:
u =<2,5> v=<7,1>
The dot product is the scalar sum of products of corresponding components:
u·v = 2·7 + 5·1 = 14 +5 = 19
The dot product is 19.
(brainliest) please help me out with this graph! :)
Answers
Answer:
like write an equation? If so it's a 0 slope
Step-by-step explanation:
bin at a department store contains blue and red blankets. The ratio of blue blankets to red blankets is 2 to 3. What percent of the blankets in the bin are blue?
Answers
Answer:
Step-by-step explanation:Answer
5.0/5
1
minashi
Beginner
7 answers
44 people helped
Step-by-step explanation:
13=blue blankets 7=red blankets
First, we need to know how many blankets there are in total.
13+7=20
Now, we don't need the seven anymore. Our ratio is blue blankets to total blankets.
13/20
Now, we need to know how many blue blankets there are in percentage.
13/20 = x/100
Next step: 13 times 100 is divided by 20
x= 13(100)÷20
x=1300÷20
x= 65
Solve the system of equations by substitution.
3x + 4y - 12
x + 7y = 8
Answers
Step-by-step explanation:
[tex]3x + 4y = 12 \\ x + 7y = 8 \\ x = 8 - 7y \\ 3(8 - 7y) + 4y = 12 \\ 24 - 21y + 4y = 12 \\ 12 = 17y \\ y = 0.705 \\ x = 8 - 7(0.705) = 3.065 = 3.07[/tex]
Write two division expressions that have the same value as 36.8 divided by 2.3 (16)
Answers
Answer:
64 divided by 4=16
144 divided by 9=16
Step-by-step explanation:
Select the equation in point-slope form for the line that passes through (3, - 5) and has a slope of 2.
Answers
Answer:
..Step-by-step explanation:
17505 rounded to the nearest 100
Answers
505 is the hundreds place
And 505 is closer to 500
Answer:
17500
Step-by-step explanation:
Cos my pancakes told me
If x = 8, what is the value of 4x + 6?
I NEED HELP! I’m on a test!!
Answers
Answer:
=38
Step-by-step explanation:
Use substitution :3
4(8)+6=38
substitute x to 8 then calculate!
There you'll get your answer.
the required value of expression 4x + 6 is 38 when x = 8.
If x = 8, what is the value of 4x + 6 to be determine.
In mathematics, it deals with numbers of operations according to the statements.
The equation is the relationship between variables and is represented as y = 4x +8 is an example of a polynomial equation.
Here, the expression is given as,
y = 4x + 8
now we have x = 8, put this x in y
y = 4(8) + 6
Solving the equation using the PEMDAS rule of mathematics
1St open the parenthesis of 8 then multiply this 8 by 4.
y = 4*8 +6
y = 32 + 6
Now adding 32 and 6 will give 38
y = 38
Thus, the required value of expression 4x + 6 is 38 when x = 8.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
I WILL GIVE YOU BRAINLY PLSS
Worth 19 points
Answers
Answer:
Okie since i "answered" you can give him brainly
Step-by-step explanation:
Which pair of angles add up to 180 degrees?
Answers
a and g i think, hope this helps
A triangle has an area of 55 cm² and a base of 10 cm².
What is the height of the triangle?
Answers
Answer:
11 cm
Step-by-step explanation:
Answer:
11 Cm
Step-by-step explanation:
b Base
10
cm
A Area
55
cm²
γ
c
a
h
b
b
h
b
h
b
c
γ
a
b
a
c
b
γ
P
c
γ
a
b
A
Using the formula
A=hbb
2
Solving forhb
hb=2A
b=2·55
10=11cm
Jim is making salsa. His recipe calls for 3 1 3 cups of tomato sauce for every 1 6 cups of cilantro. If Jim has 1 cup of cilantro, how many cups of tomato sauce will he need?
Answers
Answer: 20 cups of tomato
Step-by-step explanation:
From the question, we are informed that Jim is making salsa and that his recipe calls for 3 1/3 cups of tomato sauce for every 1/6 cups of cilantro.
If Jim has 1 cup of cilantro, thus simply means that he has multiplied the previous cup of cilantro by:
= 1 ÷ 1/6
= 1 × 6/1
= 6
Therefore, we would also multiply the cups of tomato by 6. This will be:
= 3 1/3 × 6
= 10/3 × 6
= 20 cups of tomato
MULTIPLE CHOICE QUESTION How do you change the second expression (x - 2)
Answers
Answer:
x-2=(-2)x
Step-by-step explanation:
Given mſn, find the value of x.
t
(x+27)
(2x-7)
Answers
Answer:
x = 34
Step-by-step explanation:
(x+27) = (2x-7)
subtract x from both side then add 7 to both side
which will give you x = 34
simplify ( 3x + 3 )^2
Answers
Answer:
9x^2 + 18x + 9
Step-by-step explanation:
(3x+3)(3x+3)
9x^2 + 9x + 9x + 9
9x^2 + 18x + 9
2. Four big water bottles can hold 8 gallons of water. How much water can ten big water bottles
hold?
Answers
Answer:
16 1/2 gallons of water.
Step-by-step explanation:
Since 4 bottles can hold 8 gallons, and you need to know how much 10 can hold, you can multiply 4 and 8 times 2 so you get 8 and 16, and then if you choose 10 instead of 8 instead you would get the result of 10 bottles being able to hold 16 1/2 gallons of water.
I hope this helps you :D
-4x^3 times 2y^-2 times 5y^5 times x^-8
Answers
Answer:
-64x X 4y X 3125y X x
-64X^2 X 1250Oy^2
Step-by-step explanation:
Answer:
-40y^3 / x^5
Step-by-step explanation:
Apply exponent rules
a^b * a^c = a^b+c
a^-b = 1/a^b
Do these ratios form a proportion 12/16 and 15/20
Answers
Answer:
This is a proportion
Step-by-step explanation:
Cross multiply:
12 * 20 = 16 * 15
Simplifying:
12 * 20 = 16 * 15
Multiply 12 * 20
240 = 16 * 15
Multiply 16 * 15
240 = 240
Add '-240' to each side of the equation.
240 + -240 = 240 + -240
Combine like terms: 240 + -240 = 0
0 = 240 + -240
Combine like terms: 240 + -240 = 0
0 = 0
Solving
0 = 0
Find the value of y if the line through the points (-3, y) and (4, 6) has a slope of -2.
Answers
Answer:
-20
Step-by-step explanation:
(y - 6) / (-3-4) = -2
(y-6)/7=-2
y-6=-2*7
y=-14-6 =-20
if i got an 80% on part 1 on my quiz and a 100% on part 2 of my quiz what would be my score in total in percent?
Answers
Answer: 125%
Step-by-step explanation:
Please help me with this soon
Answers
Answer:
The answer is 20π
Step-by-step explanation:
C = dπ
C = 20π
Answer:
c, 40 feet
Step-by-step explanation:
if half the area of a circle is 20, the other half is also 20, so 20 plus 20 is 40
How is this number read?
18.73
A. eighteen seventy-three
B. eighteen and seventy-three tenths
C. eighteen and seventy-three hundredths
D. eighteen and seventy-three thousandths
Answers
Answer:
the answer is d to the qu5
Answer:
The answer is c
Step-by-step explanation:
I took the quiz on K12
You put $1,000.00 into a saving account that gives you a 14% return. What is your growth factor?
Answers
Answer:
i would not rlly know what my growth factor is actually
Step-by-step explanation:
On a piece of paper, graph y+ 2 > -3x - 3. Then determine which answer
choice matches the graph you drew.
A
B
с
51
5
51
6.
BT
(-2,1)
(-2.1)
(-2.1)
x (-2, 1)
-5
6
-56 (0.-5)
(0-5)
-540.-5)
-5.0.-5)
A. Graph A.
O B. Graph B
O C. Graph C
D. Graph D
Answers
Answer: D
Step-by-step explanation:
The graph that represents the inequality [tex]y+ 2 > -3x - 3[/tex] is graph d
The inequality is given as:
[tex]y+ 2 > -3x - 3[/tex]
Subtract 2 from both sides of the inequality
[tex]y+ 2 -2 > -3x - 3 -2[/tex]
[tex]y > -3x - 5[/tex]
See attachment for the graph of [tex]y > -3x - 5[/tex]
The graph that matches the attached graph is graph (d)
Read more about inequalities at:
https://brainly.com/question/11234618
James is a botanist studying the production of beans by two types of bean plants.
He noticed that the string bean plant produced 30% more beans than the lima bean
plants. Based on James' observation, if the string bean plants produced 130 string
beans, how many lima beans did the lima bean plant produce?
Answers
Answer:
100 lima beans
Step-by-step explanation:
We can write an equation with s = string beans and l = lima beans:
s = 1.3l
We can now plug in 130 = s to get:
130 = 1.3l
We divide both sides by 1.3 and get:
100 = l
That means the lima bean plant produced 100 lima beans
Answer:
91
Step-by-step explanation:
130 * 30% =
130 * 0.3 =
39
130 - 39 = 91
