write an exponential function y=ab^x for a graph that includes (2,4) and (3,16)
Answer:
Using the equation y = abx , substitute both of your given points into that equation.
2 = ab2 and 4 = ab3 Solve each equation for a.
2⁄b2 and 4⁄b3 = a
Therefore, 2⁄b2 = 4⁄b3
Cross multiply: 2b3 = 4b2
Divide both sides by b2
2b = 4
a = 2/4 = 1/2
b = 2
y = 1 (2)x
2
Hope it helps
Please mark me as the brainliest
Thank you
9514 1404 393
Answer:
y = (1/4)4^x
Step-by-step explanation:
In general, you can use a 2-point form to write the exponential function for points (x1, y1) and (x2, y2) as ...
y = y1·(y2/y1)^((x -x1)/(x2 -x1))
Using the given points, this becomes ...
y = 4·(16/4)^((x -2)/(3 -2)) = 4·4^(x-2)
We can eliminate the exponent arithmetic by making use of a couple of rules of exponents.
y = 4·(4^x)(4^-2) = (4^-1)(4^x)
y = (1/4)(4^x)
Solve for x................
Answer:
x = 17
Step-by-step explanation:
Use the interior angle sum theorem which says:
if n is the number of sides the sum of the interior angles is 180(n-2)
there are 6 sides, so the interior angle sum is 180(6 - 2) = 180 * 4 = 720.
This means that if you add all the angles you will get 720, so:
[tex]110 + 8x - 1+5x+36+116+7x+19+6x-2=720[/tex]
[tex]26x+278=720\\26x = 442\\x = 17[/tex]
6
3. Javon, Sam, and Antoine are baking cookies. Javon
has 1/2 cup of flour, Sam has 14 cups of flour, and
Antoine has 1 cups of flour. How many cups of
flour do they have altogether?
Answer:
15.5 or 15 and a half cups of flour
Step-by-step explanation:
1/2 = 0.5
14 + 0.5 + 1 = 15.5
Answer: 3 5/12
or
2 17/12
Step-by-step explanation:
hope this helped!!
Please help i will give branliest!!!
Answer:b
Step-by-step explanation:
3.5*5*.5=8.75
helppppppp pleaseeee
Answer:
A
Step-by-step explanation:
2.5 x 3.4 = 8.5
Panchito discovered the summer’s most refreshing beverage by mixing a 80% cranberry juice with a 4% of orange juice. How much of each should he mix together to make 190 ml of a 60% cranberry-orange juice blend
Answer:
Quantity of cranberry juice = 95 ml
Quantity of orange juice = 95 ml
Step-by-step explanation:
Step 1
Given ,
We have 80% cranberry juice and 4% of orange juice.
We have to find how much each should be mixed to make 190 ml of a 60% cranberry-orange juice blend.
Step 2
Let's assume
Quantity of cranberry juice =x ml
Quantity of orange juice =y ml
Then,
x + y = 190
and
x×80100 +y×4100 = 190×60100
⇒ 0.8x+0.4y = 114
⇒ 2x+y = 285
⇒ y = 285−2x
Step 3
Substituting y = 285−2x in x + y = 190
⇒ x+285−2x = 190
⇒ −x = 190−285
⇒ −x = −95
⇒ x = 95 ml
Substituting x = 95 in x + y = 190
⇒ 95 + y = 190
⇒ y = 190−95
⇒ y = 95 ml
So,
Quantity of cranberry juice =95 ml
Quantity of orange juice = 95 ml
What is the answer
a3-c + b, when a=3,b=6, c=8
Answer:
The answer is 25
Step-by-step explanation:
Convert these improper fractions into mixed numbers.
5/4
Answer:
1 1/4
Step-by-step explanation:
4/4 + 1/4 = 5/4
4/4 = 1
so 1 1/4
Answer: 1 1/4
Step-by-step explanation: first we have to find the whole number then we divide the numerator and the denominator. then we are only interested in the whole numbers so we ignore the one to the right of the decimal. then we will used the whole number we calculated in step one and multiply it by the original denominator then is subtracted from original numerator. our next step is to simplify. then when that down we need to calculate the greatest common factor.
Cynthia has a photo frame that has a circumference of 56.52cm. What is the radius of the photo frame?
Answer:8.99 cm
Step-by-step explanation:
Answer:
[tex]8.995[/tex]cm
Step-by-step explanation:
The circumference formula is: [tex]C=2\pi r[/tex]
We are given the circumference, which is 56.52cm.
The question wants us to find the radius, r.
To achieve this, we must solve for r.
Plugging in 56.52 for C we get:
[tex]56.52=2\pi r[/tex]
Dividing both sides by [tex]2\pi[/tex], we find r:[tex]8.995[/tex]
[tex]\frac{56.52}{2\pi } =r[/tex]
[tex]8.995[/tex]≈[tex]r[/tex]
If you want to round it up, you can round it to 9cm.
please help i put pic of question
Answer: [ -8, -5] or [1, 4]
Step-by-step explanation:
Thats what I got I'm in 7th and I havent learned this yet but hope I helped <3!!!
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
I'm only sure about the second one
Answer:
Yes
Step-by-step explanation:
(2, 1) is a solution to the given system of linear equations.
x + 16y = 2 + 16*1 = 2 + 16 = 18
2x + 11y = 2*2 + 11*1 = 4 + 11 = 15
triangle CAT is translated using the rule (x,y) (x-3, y+4) to create triangle C’A’T’. if a line segment is drawn from point c to point C’ and from point A to point A’. which statement would best describe the line segments drawn
Answer:
They are parallel and congruent
Step-by-step explanation:
Use intercepts to graph the linear equation 3x - y = -5.
x intercept
y intercept
step by step
Answer:
x intercept =(-5/3,0)
y intercept = (0,5)
Step-by-step explanation:
FOR THE X INTERCEPT:
-plug 0 in for the y value because the y value is 0 at the x intercept.
* 3x-0=-5 ---> 3x=-5 -----> x=-5/3 while y = 0
FOR THE Y INTERCEPT
-do the same thing as the x intercept, but instead of making y 0, make x 0.
* 3(0) -y=-5 ----> 0-y=-5 -----> -y=-5 ------->y=5 while x=0
Can someone please help me Ik it’s blurry but you have to zoom in it’s due tomorrow
Answer AND Step-by-step explanation:
1. x = 53° Supplementary Angles Theorem
2. x = 37° Complementary Angles Theorem
3. x = 45° Right angle = 90°, and 90 divided in half is 45, so 45 + 45 = 90
4. x = 180° Straight lines are 180 degrees.
5. x = 130° Vertical Angles Theorem
6. x = 90° Right Angle, and Vertical Angles Theorem
7. x = 15° Complementary Angles Theorem
8. x = 60° Supplementary Angles Theorem
9. x = 20° Complementary Angles Theorem
10. x = 140° Supplementary Angles Theorem
11. x = 47° Supplementary Angles Theorem
12. x = 18° Supplementary Angles Theorem
Supplementary Angles Theorem - two angles that are next to each other and add up to 180 degrees.
Complementary Angles Theorem - two angles that are next to each other and add up to 90 degrees.
Vertical Angles Theorem - Angles that are directly across from each other made by an intersection will have the same angle value.
#teamtrees #PAW (Plant And Water)
Find p(–4) if p(x) = x ^3 – 3x^ 2 + 7x + 6.
Answer:
p(-4) = -134
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
p(x) = x³ - 3x² + 7x + 6
p(-4) is x = -4
Step 2: Evaluate
Substitute in x [Function]: p(-4) = (-4)³ - 3(-4)² + 7(-4) + 6Evaluate exponents: p(-4) = -64 - 3(16) + 7(-4) + 6Multiply: p(-4) = -64 - 48 - 28 + 6Subtract: p(-4) = -140 + 6Add: p(-4) = -134if p(x)=x*2-1 and q(x)=5(x-1),which expression is equivalent to (p-q)(x)?
Answer:
[tex](p - q)(x) = (x -1) (x - 4)[/tex]
Step-by-step explanation:
Given
[tex]p(x) = x^2 - 1[/tex]
[tex]q(x) = 5(x - 1)[/tex]
Required
(p - q)(x)
This is represented as:
[tex](p - q)(x) = p(x) - q(x)[/tex]
[tex](p - q)(x) = x^2 - 1 - 5(x - 1)[/tex]
[tex](p - q)(x) = x^2 - 1 - 5x + 5[/tex]
Collec like terms
[tex](p - q)(x) = x^2 - 5x + 5 - 1[/tex]
[tex](p - q)(x) = x^2 - 5x + 4[/tex]
Expand
[tex](p - q)(x) = x^2 -4x - x + 4[/tex]
Factorize
[tex](p - q)(x) = x(x -4) - 1(x - 4)[/tex]
[tex](p - q)(x) = (x -1) (x - 4)[/tex]
Convert 20 miles to km
Answer:
32.1869
Step-by-step explanation:
You can use an online converter!
You can look up Miles to KM
The product of 4 and a number
Answer:
4*x
Step-by-step explanation:
Answer:
4x
Step-by-step explanation:
x in this case would be the number
The director of a customer service center wants to estimate the mean number of customer calls the center handles each day, so he randomly samples 29 different days and records the number of calls each day. The sample yields a mean of 279.4 calls with a standard deviation of 25.1 calls per day. He can be 99% confident that the mean number of calls per day is between 266.5 and ________. (Round your answer to 1 decimal place.)
Answer:
He can be 99% confident that the mean number of calls per day is between 266.5 and 292.3.
Step-by-step explanation:
Confidence interval:
A confidence interval is symmetric, which means that the difference between the sample mean and the lower bound is the same as the difference between the upper bound and the sample mean.
In this question:
Sample mean: 279.4 calls
Lower bound: 266.5 calls
Upper bound: x calls
Due to the symmetry of the confidence interval:
[tex]x - 279.4 = 279.4 - 266.5[/tex]
[tex]x = 12.9 + 279.4[/tex]
[tex]x = 292.3[/tex]
So
He can be 99% confident that the mean number of calls per day is between 266.5 and 292.3.
HELP! please explain how to solve the point of maximum growth rate for the logistic function?!?? I'm really confused!
Answer:
18 units over 210 units of time
Step-by-step explanation:
the function reaches its limit at 116 and starts at 0 at -94
|-94|+|116|=210
if x=4y then what percentage of 2x is 2y
Answer:
x=2y
2x=4y
percent=(2y/2x)*100%=(x/2x)*100%=50%
Answer:
the answer to this question would be 50%
A student eats 7 servings of vegetables and 4 servings of fruits one day. Which statement is true?
Answer:
Step-by-step explanation:
B
What is 5 3/4 - 6 1/2
Answer:
-1 1/4
Step-by-step explanation:
1/2 - 2/4
5 - 6 = -1
3/4 - 2/4 = 1/4
-1 1/4
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
What line is parallel to y=5x+2 ?
Answer:
i think this is a awer
Step-by-step explanation:
n example of a line parallel to y = 5x - 2 would be y = 5x + 6. The difference between the two lines is where they cross the y-axis. Another example would the line in standard form, 10x - 2y = 8.Nov 9, 2015
Answer:
y=5x +6
Another example would the line in standard form, 10x - 2y = 8.
PLEASE ANSWER QUICKLY THX
this is harder than 1213321+2143 jk
Erin Thompson agreed to purchase a house for 97,900
Answer:
wow
Step-by-step explanation:
no way bro that's brazy
2(4y) + 4(3r) answer
Answer: 8y+12r
Step-by-step explanation:
Take the equation
2(4y)+4(3r)
Distribute the 2 and 4 into the parenthesis'
8y+12r
HELP PLSSSSS I BEG YOUUUUUUUUUUUUUUUUU
Answer:
just shade in the same thing
just shade in the same thing
Write the following expression in exponential form: 4.5 × 4.5 × 4.5 × 4.5 × 4.5 × 4.5 × 4.5
Answer:
[tex]4.5^{7}[/tex]
Step-by-step explanation:
Just count how many 4.5 there are.
4.5^7
jwnnd jwdjndw jnfjwnjj fjnwjnfs cn jjwj wmc sknkw c mssc kskwc
Which of the following are dependent events? Select all that apply.
You draw a marble from a bag, replace it, and draw again.
You flip a coin and roll a number cube.
You draw two numbers from 1 to 10 from a hat without replacing them first.
You randomly choose two socks from a drawer, hoping they will match.
Answer: all
Step-by-step explanation:
Answer: You randomly choose two socks from a drawer, hoping they will match.
You draw two numbers from 1 to 10 from a hat without replacing them first.
Step-by-step explanation:
dependent events: compound events in which one event affects the likelihood of the other event
independent events:compound events in which one event does not affect the likelihood of the other event