Answer:
The greatest common factor term 20a^12 b² -15a⁸b^4 of the expression 20a ^12 b² -15a⁸b^4 = 5x4xa⁸ xa⁴xb²x = 5a⁸xb²x4a⁴ and -15⁸b⁴ = 5x-3xa⁸xb²x-3b²
Step-by-step explanation:
Hence, The expression 20a¹²b²- 15a⁸b⁴= 5x-3xa⁸xb²xb²= 5a⁸b²(4a⁴-3b²)
- Hope this helped! :3
Servers at a snack shop use the table below to find the total cost for frozen yogurt, but some of the numbers have worn off. The total cost is proportional to the number of cups of frozen yogurt. Find the missing numbers in the table.
Answer:
1.50 for one cup of frozen yogurt.
Step-by-step explanation:
Question 21 (5 points)
Saved
The equation 3(4x) = (4x)3 illustrates which property?
O multiplicative inverse
distributive
O commutative
O associative
Answer:
a
Step-by-step explanation:
Need help ASAP!! I'll give brainliest to the correct answer!!
Answer:
∡SRT
Step-by-step explanation:
angle which creates the longest side is the largest angle
please show the work of how you got the answer please :)
Answer:
146
Step-by-step explanation:
72+4(33+2)−19
=49+4(33+2)−19
=49+4(27+2)−19
=49+(4)(29)−19
=49+116−19
=165−19
=146
please help asap! i’ll give brainliest
Answer:
D
Step-by-step explanation:
Answer:
its A) love bc 1/f multipled by 1/3 = 2/9
Step-by-step explanation:
One health club charges a $40 membership fee and $40 per month. Another club charges a $100 membership fee and $25 per month. Write and solve an equation to find the number of months that it will take for the two health clubs to be equal
Answer:
After 4 months, the charges will be same.
Step-by-step explanation:
Membership charges of club one = $40
Per month charges = $40
Let,
x be the number of months
y be the total amount
y = 40x + 40
Membership charges of club two = $100
Per month charges = $25
y = 25x + 100
For equal charges, both equations will be same
40x + 40 = 25x + 100
40x - 25x = 100 - 40
15x = 60
[tex]\frac{15x}{15}=\frac{60}{15}\\x=4[/tex]
Therefore,
After 4 months, the charges will be same.
Can someone help me out pls
Answer:
a
Step-by-step explanation:
The original price of last year's gaming system was $399. It is now selling at a 24% discounted price. What is the sale price?
Answer:
$303.24
Step-by-step explanation:
399.00x24%=95.76
399.00÷95.76=303.24
Please help this is due in ten minutes!!!!!!!!!!!!
Use the figure to find the measures of <1 and <2.
find the coordinates for P in the diagram given r=4 and theta=7pi/6
(the diagram is an empty unit circle)
Answer: can you please set this up differently?????
Step-by-step explanation:
NEED HELP, please help ASAP!!!!!!!!
Answer: B
Step-by-step explanation:
ITS TIMED PLEASE HELP!
Answer:
1/81
Step-by-step explanation:
Answer:
1/81
Step-by-step explanation:
9^-6/9^-4=9^-6-(-4)=9^-2=1/81
You are trying to decide whether to use Uber or Lyft during a vacation. Uber charges $3 to pick up plus an additional $0.25 for each mile driven. Lyft does not charge to pick up but they have a rate of $0.75 for each mile driven.
Let x = the number of miles traveled and y = the total cost for the trip.
Answer:
Uber: y = .25x + 3
Lyft: y = .75x
Step-by-step explanation:
Boris rides around a 800 metre track recording his speed each time. In
the three laps he recorded 49 secs, 53 secs and 48 secs. What was his
average time per lap?
Answer:
The easiest way to work out average times is to convert them all to seconds. 60 secs makes 1 min etc. Add all the seconds. Then divide the sum by the number of entries, hope this works.
Step-by-step explanation:
Write an
explicit formula for An, the nth term of the sequence 7, -42, 252, ....
Answer:
[tex]A_n = 7(-6)^{n-1}[/tex]
Step-by-step explanation:
Key skills needed: Explicit formula, Geometric sequence
1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.
This can be done by doing -42 ÷ 7 or 252 ÷ -42
-42 ÷ 7 equals -6.
252 ÷ -42 also equals -6.
2) This means that constant is -6.
3) The general form for an explicit formula of a geometric sequence is:
[tex]a_n = a_1(r)^{n-1}[/tex]
--> r means the constant (or common ratio) that is being multiplied.
--> [tex]a_1[/tex] means the first term
--> [tex]a_n[/tex] means the "nth" numbered term (so [tex]a_3[/tex] is the 3rd term, [tex]a_{10}[/tex] is the 10th term and so on).
--> [tex]n-1[/tex] is just the "n" in [tex]a_n[/tex] minus 1.
4) We can use this formula to create an explicit formula for the geometric sequence in the problem.
--> [tex]r = -6[/tex] (Since we got -6 as the constant/common ratio).
--> [tex]a_1 = 7[/tex] (Since 7 is the 1st term)
This means that our formula would be --> [tex]A_n = 7(-6)^{n-1}[/tex]
Hope you understood and have a nice day!! :D
Which is the correct equation for the graph of f(x), a transformation of the graph of g(x) = log2x? A. f(x) = -log2(x + 2) B. f(x) = log2(x − 2) + 2 C. f(x) = -log2x + 2 D. f(x) = log2x − 2
The equation of the function f(x) is: f(x) = log2(x − 2) + 2 option (B) f(x) = log2(x − 2) + 2 is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a parent function:
g(x) = log₂x
Transformation:
g(x) → g(x) + 2
G(x) =log₂x + 2
The function will shift upside by 2 units.
G(x) → G(x-2)
f(x) =log₂(x-2) + 2
The function will shift right side by 2 units.
Thus, the equation of the function f(x) is: f(x) = log2(x − 2) + 2 option (B) f(x) = log2(x − 2) + 2 is correct.
Learn more about the function here:
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Answer:The equation of the function f(x) is: f(x) = log2(x − 2) + 2 option (B) f(x) = log2(x − 2) + 2 is correct.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a parent function:
g(x) = log₂x
Transformation:
g(x) → g(x) + 2
G(x) =log₂x + 2
The function will shift upside by 2 units.
G(x) → G(x-2)
f(x) =log₂(x-2) + 2
The function will shift right side by 2 units.
Thus, the equation of the function f(x) is: f(x) = log2(x − 2) + 2 option (B) f(x) = log2(x − 2) + 2 is correct.
Learn more about the function here:
brainly.com/question/5245372
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Step-by-step explanation:
-81= −45−9n i need help please
-45 - 9n = -81
-9n = -81 + 45
-9n = -36
n = -36/-9
n = 4
Hope this helps you. :)
Answer:
4=n
Step-by-step explanation:
-81= -45-9n
+45 +45
-36= -9n
÷ -9 ÷-9
4= n
substitute:
-81= -45 -9 (4)
-81= -45 -36
-81= -81
Find the unknown side lengths in these right triangles.
When is it true the Pythagorean Theorem is..?
A) True for all triangles
B) True for all right triangles
C) True for some right triangles
D) Never true
Answer:
Triangle 1 - [tex]\sqrt{29[/tex] (if they want simplest radical form) or 5.4 (if they want to the nearest tenth)
Triangle 2- i couldnt figure this one out- may not be true
Pythagorean Theorem is... C) true for all right triangles
Step-by-step explanation:
Given that x^2 - y^2 = 45 and x + y = 9, find the values of x and y.
Answer:
x = 7
y = 2
Step-by-step explanation:
x² - y² = 45
(x+y) (x-y) = 45
x + y = 9 (known)
9 x (x-y) = 45
x - y = 5
y = x-5
x + (x - 5) = 9 (substitute)
2x = 14
x = 7
y = 2
Jessica and Mofor are selling pies for a school fundraiser. Customers can buy apple pies and
lemon meringue pies. Jessica sold 7 apple pies and 6 lemon meringue pies for a total of $169.
Mofor sold 3 apple pies and 6 lemon meringue pies for a total of $141. Find the cost each of one
apple pie and one lemon meringue pie.
Answer
L=20 A=7
Step-by-step explanation:
Help!
Sarah was standing on a dock next to the ocean. She kicked a soccer ball off the dock to her friend in the water. 4 seconds after she kicked the ball it reached a height of 9 feet above the water. It hit the water 6 seconds later.
Write an equation for the path of the rock in y=a(x-h)^2+k and give the height of the dock that she kicked the ball from. Show your work!
Answer:
1) The equation for the of the ball in y = a·(x - h)² + k is;
y = -16·(x - 5)² + 25
2) The height of the dock, d = -375 feet below the water level
Step-by-step explanation:
1) The question is with regards to quadratic function representing projectile motion
The given parameters are;
The height the ball reaches 4 seconds after Sarah kicked the ball = 9 feet
The time the ball hits the water = 6 seconds after reaching the 9 feet height
The form of the quadratic equation representing the motion is given as follows;
y = a·(x - h)² + k = a·x² - 2·a·h·x + a·h² + k
Let 'x' represent the time of motion of the ball, and let 'a', represent the acceleration due to gravity, we have;
The equation for the ball, y = a·(x - h)² + k
Where;
(h, k) = The coordinates of the vertex
h = The horizontal component of the vertex coordinate = 0
Therefore, we have;
When x = 0, y = d
d = -16·(0 - h)² + k = -16·h² + k
d = -16·h² + k
When x = 4, y = 9 - d
9 - d = -16(4 - h)² + k = -16(4 - h)² + k
When x = 2, y = d
d = -16(2 - h)² + k
When x = 6, y = 9
9 = -16(6 - 5)² + k
When x = 8, y = d
d = -16(8 - h)² + k
-16(8 - h)² - (-16(2 - h)²) = 0
h = 5
From 9 - d = -16(4 - h)² + k = -16(4 - 4)² + k
d = 9 - k
9 = -16(6 - h)² + k
k = 9 + 16(6 - 5)² = 25
d = 9 - k = 9 - 25 = -16
Therefore, h = 5, k = 25
The equation for the of the ball in y = a·(x - h)² + k is therefore;
y = -16·(x - 5)² + 25
2) When x = 0, y = d, ∴ d = -16(0 - 5)² + 25 = -375 feet below the water
The height of the dock, d = -375 feet below the water level
Drag and drop numbers into the boxes so that the paired values are in a proportional relationship
Answer:
6 goes on top of 3
4.5 goes under 9
Step-by-step explanation:
its self-explanatory
Write 7√5 using rational exponents.
Answer:
7*(5)^0,5
Step-by-step explanation:
The value of number 7√5 in form of rational exponents will be 1561/1000.
What is Rational number?A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.
Given that;
The number is,
⇒ 7√5
Now,
Since, The number is,
⇒ 7√5
Solve as;
⇒ 7√5 = 7 × 2.23
= 15.61
= 1561/100
Thus, The value in rational exponents = 1561/1000
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Hannah wants to buy a $510 camera. She can save $35 each week from her paycheck. However, before Hannah can buy the camera, she must give her brother $85 that she owes him. For how many weeks will Hannah need to save before she can pay back her brother and buy the camera?
Group of answer choices
A. 17
B. 15
C. 19
D. 21
Answer:
Letter C.19
SORRY IF THIS IS WRONG..
Pls help if your good at math I’ll mark brainliest and a thank you:)
A. -1/2
B. 2
c. 1 / 2
D. -2
Answer:
C. 1/2
Plzzzzz give me Brainliest!!!!!
Solve the inequality: -2z - 3 < 5
Answer:
z>-4
Step-by-step explanation:
Answer:
z>4
Step-by-step explanation:
-2z-3<5
add 3 to 5: -2z < 8
divide by -2: z < -4
but since you divided by a negative number, you have to change the way the inequality is facing so the answer is z>-4
HELP PLS! IS THIS RIGHT? ONLY ANSWER IF YOU KNOW! THANKS!
Answer:
YES its 8
Step-by-step explanation:
Find the slope for this line.
.
What is the answer to this equation 7b=70
Answer:
It is 10.
Step-by-step explanation:
b=70 divided by 10 which is 7
What is the scale factor in the dilation?
Answer:
The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object). When the absolute value of the scale factor is greater than one, an expansion occurs. When the absolute value of the scale factor is less than one, a compression occurs.
Step-by-step explanation: