What is the total weight of 23 baseballs that weigh 5.25 ounces each?
Answer:
120.75 ounces
Step-by-step explanation:
It's just a multiplication you will multiply 23 ×5.25 will get you your answer
The function h(x) is a transformation of the square root parent function, f(x) = √x. What is h(x)?
A. h(x) = √x + 5
B. h(x) = √x - 5
C. h(x) = √x - 5
D. h(x) = √x + 5
Answer: A: √x+5
Step-by-step explanation:
The parent square root function is √x
Transformations to this graph come in the form y =√(x-h) +k, where h is responsible for left-right movements, and k is responsible for up down movements.
For the image, we can see that f(x) is simply the parent square root function, √x. To get h(x) from f(x), there is a translation of 5 units to the left, which can be algebraically represented by a value of h = -5. Putting this into our form, we get h(x) = √x+5, which is your answer :)
The function h(x) is after transformation is √(x + 5).
Option A is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The square root parent function is f(x) = √x, which starts from the point (0, 0) and increases as x increases.
To transform the parent function to h(x) starting from the point (-5, 0), we need to perform a horizontal translation of 5 units to the right.
This is because if we plug in x = -5 into the parent function,
We get f(-5) = √(-5), which is not a real number.
Therefore, we need to shift the function horizontally so that it starts from
x = -5.
The transformation of the square root parent function with a horizontal translation of 5 units to the right is given by the equation:
h(x) = √(x + 5)
This function starts from the point (-5, 0) and increases as x increases.
We can verify this by plugging in x = -5 to get h(-5) = √(0) = 0, which is the starting point of the function, and by observing that h(x) increases as x increases.
Thus,
The function h(x) is √(x + 5).
Learn more about functions here:
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Which equation describes the graph?
Answer:
y=(-3/5)x + 5
Step-by-step explanation:
Looking at the graph, we can see two clear points; (0,5) and (5, 2). We know that the y-intercept is (0,5) so the b value of the standard form of a line, y=mx+b, is 5. Since we know two points, we can figure out the slope. So, the slope is (5-2)/(0-5) = 3/-5. Therefore the equation of this line is y=(-3/5)x+5. We can check this answer by plugging in points.
1 1 A recipe calls for cup of ingredient A for every 15 cups of ingredient B. You use 3 cups of ingredient A How many cups of ingredient B do you need? You need cups of ingredient B.
Answer:
45
Step-by-step explanation
Its actually quite simple all you have to do is multiply 15 by 3 and then you will get 45.
is the price proportional to the number of roses? how do you know? In th table below it shows the price, in dolloars, for thenumber of roses indicated
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 4,11,18. Find the 50th term.
Answer:
347
Step-by-step explanation:
This is Arithmetic Sequence where its common difference= 11-4 = 18-11 = 7
The Geometric Sequence General Formula = [tex]a_{n} =a_{1}+ d(n-1)[/tex]
where a1 is the 1st Term and d is the common difference
[tex]a_{50} =4+7*(50-1)=347[/tex]
y=-3(x + 5)^2 - 4
Convert the equation from vertex formi to standard form.
HELP ASAP PLEASE NEED FOR RIGHT NOW!!!
Answer:
-24/5
Step-by-step explanation:
I did the math...your welcome:)
help a girl out
it’s due tonight i’m dead
To find the equation of line take any two points on graph,
Point A = (0,3) = (X1,Y1)
Point B = (3,0) = (X2,Y2)
Y intercept is = 3,
Now find the slope of line using two point formula,
[tex]Slope = \frac{Y2-Y1}{X2-X1} \\ \
Slope = \frac{3-0}{0-3} = -1[/tex]
Equation of the line in standard form is,
[tex]Y - Y1 = m(X - X1)[/tex]
where m is the slope of line!
Now substituting Y1, m, X in above equation!
[tex]Y - Y1 = m(X - X1) \\ Y - 3 \: = - 1(X - \: 0) \\ Y - 3 = - X \\
X + Y = 3 \\
Y = 3 - X[/tex]
The equation of line in Slope intercept form,
[tex]\fbox{Y = - X + 3}[/tex]
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Can someone help me out with this math problem? Thank you
What is AC?
Answer:
The Answer is B! 3√5 I hope this helped u
If an exponential model has a 9% decay rate,
what multiplier would be used in the function
model?
0.9 1.09
1.9 0.91
=====================================================
Explanation:
If you lose 9% of a substance, then you keep the remaining 91% because 100% - 9% = 91%. Or you can think of it as 91% + 9% = 100%
Then we convert 91% to decimal form to get 0.91
-----------
Or you can do the steps like this:
9% = 0.09
1 - 0.09 = 0.91
Can you help me please.
volume: 113.1 and SA:138.23
QUESTION ON PIC THANK YOU !
Answer:
There are (14 - 8) daisies = 6 daisies
roses / daises = 8 / 6 = 4 / 3
flowers / daises = 14 / 6 = 7 / 3
if 2/3x - 1=4, then x=?
Answer:
The answer is x=15/2
Step-by-step explanation:
HELP NEEEEDED ASAP!!!!!!!! Which graph represents this function?
f(x)=2x−1−−−−√
If a triangle has angles of 35° and 75°, and an included side length of 1 inch: What is the measure of the missing angle? How many triangles are possible?
Answer:
70
Step-by-step explanation:
angles in a triangle add up to 180 so both of the other angles added equal to 110. 180-110=70
The quotient of number and 7 is 6
Answer:
42
Step-by-step explanation:
Let's say the number=X
x/7=6
7*6=42
and 42/7=6
Chapter 8 Practice:
Compute the inverse Laplace transform of
[tex]F(s) = \frac{s² +1}{(s-1)(s+1)(s - 2)} [/tex]
(Cover up method)
Continue the given solution and solve for B and C :
[tex](s+1)\dfrac{s^2+1}{(s-1)(s+1)(s-2)} = (s+1)\left(-\dfrac1{s-1} + \dfrac B{s+1} + \dfrac C{s-2}\right)[/tex]
[tex]\dfrac{s^2+1}{(s-1)(s-2)} = -\dfrac{s+1}{s-1} + B + \dfrac{C(s+1)}{s-2}[/tex]
[tex]s=-1 \implies B = \dfrac13[/tex]
Similar steps lead to C = 5/3, and so
[tex]\dfrac{s^2+1}{(s-1)(s+1)(s-2)} = -\dfrac1{s-1} + \dfrac13\times\dfrac1{s+1} + \dfrac53\times\dfrac1{s-2}[/tex]
Now take the inverse transform of each term.
[tex]Y(s) = -\dfrac1{s-1} \implies y(t) = -e^t L^{-1}\left\{\dfrac1s\right\} = -e^t[/tex]
[tex]Y(s) = \dfrac13\times\dfrac1{s+1} \implies y(t) = \dfrac{e^{-t}}3 L^{-1}\left\{\dfrac1s\right\} = \dfrac{e^{-t}}3[/tex]
[tex]Y(s) = \dfrac53\times\dfrac1{s-2} \implies y(t) = \dfrac53e^{2t} L^{-1}\left\{\dfrac1s\right\} = \dfrac{5e^{2t}}3[/tex]
Then the inverse transform of F(s) is
[tex]F(s) = \dfrac{s^2+1}{(s-1)(s+1)(s-2)} \implies f(t) = -e^t + \dfrac{e^{-t}+5e^{2t}}3[/tex]
[tex]\implies f(t) = \boxed{\dfrac{5e^{3t} - 3e^{2t} + 1}{3e^t}}[/tex]
Benjamin bought two pounds of strawberries for $12.80. What is the price, in dollars per ounce of strawberries?
Answer:
0.50 cent per ounces
Step-by-step explanation:
0.50 cent per ounces
Choose the correct linear equation given the slope and a point P.
m = 5/6, P = (-6,-2)
Answer:
3rd option is correct
.........................................
Answer:
option c
Step-by-step explanation:
Linear equation in slope intercept form: y = mx +b
m is slope and b is y-intercept.
m = 5/6
[tex]y=\dfrac{5}{6}x+b\\[/tex]
The point P(-6 ,-2) passes through the line. So, plugin s and y values in the above equation.
[tex]-2=\dfrac{5}{6}*(-6)+b\\\\\\-2= -5 + b\\\\-2 + 5 = b\\[/tex]
b = 3
Equation of the line:
[tex]y=\dfrac{5}{6}x+3[/tex]
kinda easy math problems
1. {1, 2, 3, 4, 5, 6}
2. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
3. {B1, B2, B3, R1, R2, R3, R4, R5, R6, R7, R8, G1, G2, G3, G4, Y1, Y2, Y3, Y4, Y5, Y6, Y7}
B for blue, R for red, G for green, Y for yellow.
4. {TT, TH, HT, HH}
T for tails and H for heads
Explanation:
sample space is all possible outcomes
1. ((--1, 2, 3, 4, 5, 6--))
2. ((--1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15--))
3. ((--B1, B2, B3, R1, R2, R3, R4, R5, R6, R7, R8, G1, G2, G3, G4, Y1, Y2, Y3, Y4, Y5, Y6, Y7--))
B for blue, R for red, G for green, Y for yellow.
4. ((--Tail tail, Tail Heads, heads tails, heads heads--))
Each of 5 gift bags contains x pencils. Tyler adds 3 more pencils to each bag. Altogether, the gift bags contain 20 pencils.
Write an equation for the story. (use "X")
what is the reason for multiplication in the story?
Explanation:
Each of the five bags contain x pencils, where x is a placeholder for a positive whole number.
This means Tyler starts off with 5x pencils
He then adds 3 pencils per bag, so 3*5 = 15 extra pencils, to get the expression 5x+15. We're told the new grand total is 20 pencils.
Therefore, the equation for this story problem is 5x+15 = 20
The reason for the multiplication is because we have the same number of pencils per bag. So we're adding multiple groups together, or using multiplication to do a shortcut.
eg: instead of 5+5+5 = 15 we can do 5*3 = 15
PLEASE HELP i WILL MaRK BRAINLY plsssssss
A "light" popcom has 120 Calories per serving. This is 25% fewer Calories than a serving of regular popcorn. How many
Calories does each serving of regular popcom have?
175
b. 250
480
d. 160
C.
a
We're given:
The popcorn is 120 calories per serving120 calories is 25% fewer calories than original popcornWe must find the calorie count per serving of the original popcornDetermine VariablesLet x equal the calorie count per serving of the original popcorn.
Create an EquationThe light popcorn has a calorie count of 120, which is 25% fewer calories than regular popcorn. This means that 75% of the calorie count of regular popcorn is equal to that of the light popcorn:
[tex]x*0.75=120[/tex]
Solve the Equation[tex]x*0.75=120[/tex]
⇒ Divide both sides by 0.75:
[tex]\dfrac{x*0.75}{0.75}=\dfrac{120}{0.75}\\\\x=160[/tex]
AnswerTherefore, each serving of regular popcorn has 160 calories.
Maple Street is 4 miles long. There is a house every 1/4 of a mile. How many houses are there on Maple Street?
There are 24 houses on Maple Street.
There are 12 houses on Maple Street.
There are 16 houses on Maple Street.
There are 20 houses on Maple Street.
Answer: There are 16 houses
Step-by-step explanation: Why? Because of the fact that every house is 1/4 house and you can multiply that by every time 1/4x4 then 1/4x4 1/4x4 and 1/4x4 and you have 16 houses.
The ratio of boys in a class to girls is 3:2. If there are a total of 20 students in the class, how many students are boys?
Answer:
13.333333...
Step-by-step explanation:
divide 20 by 3/2
What is the solution To the system of equations below? Need answer ASAP please
Answer:
y=2x-5
y=-x+7
answer is (4,3)
Step-by-step explanation:
brainliest pls
Brainliest pls helppp
Find the equation of a line passing through point A (4,6) and B (-2, 8)
Mr. Ford will select 5 of the 120 people who tried out for a theatrical production. He will choose another 5 people to assist with the show.
How many people will he choose altogether?
Answer:
10
Step-by-step explanation:
Mr. Ford selects 5 people who tried out.
He then chooses 5 more people to assist with the show.
Together he has 5 + 5 = 10 people altogether.
Help please I’m having trouble with this problem
Answer: L= 90-3 i hope this helps u :)
Answer:
[tex]\sf length = 8b+2[/tex]
Explanation:
area of rectangle = length * widthGiven:
Area: 64b² - 4Width: 64b² - 4using the formula:
[tex]\hookrightarrow \sf 64b^2 - 4 = length * (8b - 2)[/tex]
[tex]\hookrightarrow \sf \dfrac{64b^2 - 4 }{(8b - 2)} = length[/tex]
[tex]\hookrightarrow \sf length = 8b+2[/tex]
--
Which statement is true about these functions?
OA Functions fand g are not inverses because f(g(x)) = 9(f(x))
OB. Functions fand gare not inverses because f(g(x)) = g(f(x)).
Ос. Functions fand g are inverses because f(g(1) # 9(()).
OD. Functions fand g are inverses because f(g(x) = g(1)
Answer:
c
Step-by-step explanation:
it just is