Answer:
y=0.2x+3
Step-by-step explanation:
Let
x-----> the number of stickers
y-----> the price
we have that
For x=15, y=6
and
For x=25, y=8
step 1
Find the slope of the linear equation
m=(8-6)/(25-15)
m=2/10=0.10 $/sticker
step 2
Find the equation of the line into point slope form
The equation of the line is equal to
y-y1=m(x-x1)
we have
m=0.10
point (15,6)
substitute
y-6=0.2(x-15)
y=0.2x-3+6
y=0.2x+3
Which of the following are quadratic functions?
(Very easy) Find the surface area of this figure. Leave the answers in pi if applicable.
Answer:
36π cm cubed
Step-by-step explanation:
Surface area of a cylinder is 2πr^2 + 2πrh
4 cm is the diameter in the image, so the radius is 2 (4/2)
7 is the height
π2(2^2) + π2(2)(7)
8π + 28π
36π
The answer above me is right
When parallelogram EFGH is rotated 180° counterclockwise about the origin to create parallelogram E'F'G'H', what is the measure of angle G'?
Answer:
The measure of angle G is 108 Degrees, hope this helps.
Step-by-step explanation:
3x2-|y| When x=-5 and y =-2
I'm going to assume you're saying 3x to the power of 2. So first, apply the values of the variables to the equation just as shown:
3(-5)^2 - |-2|
So first, do -5 to the power of 2:
(-5)(-5)=25
Then, multiply 3 to 25:
3*25=75
Now, the absolute value of y is the absolute value of -2. The aboslute value of any number is its positive value, so now we are left with 75-2
75-2=73
73 is your answer.
find m1
please helpp
Answer:88 degrees
Step-by-step explanation:
88 degrees is the correct answer
The local hamburger shop sold a combined total of 625 hamburgers and cheeseburgers on Friday . There were 75 fewer cheeseburgers sold than hamburgers how many hamburgers were sold on Friday ?
By setting up a system of equations, it was determined that the local hamburger shop sold 350 hamburgers on Friday.
Explanation:To determine how many hamburgers and cheeseburgers were sold on Friday at the local hamburger shop, we can set up a system of equations based on the information given. Let H represent the number of hamburgers sold and C represent the number of cheeseburgers sold. According to the problem, H + C = 625 and H = C + 75.
To find the number of hamburgers, we replace C in the first equation with H - 75 from the second equation, so we have H + (H - 75) = 625. Simplifying this, we get 2H - 75 = 625. Adding 75 to both sides gives us 2H = 700. Dividing both sides by 2 gives H = 350. Therefore, 350 hamburgers were sold on Friday.
If f(x) = |x| and g(x)= |x| -4 which translation is applied to f(x) to her g(x)
Answer:
The translation is 4 down.
Step-by-step explanation:
evaluate 4! please help im in a crisis!!!!!!!!
Answer:
24
Step-by-step explanation:
4! means multiply all the number from 4 down to 1
4! = 4*3*2*1
= 24
For this case we have that by definition, the factorial of a number is the product of the "n" consvutive factors from n to 1. The factors are in descending order, that is:
[tex]n! = n (n-1) (n-2) ... 3 * 2 * 1[/tex]
Then, we have the following expression:
[tex]4![/tex]
Applying the definition we have:
[tex]4! = 4 * 3 * 2 * 1 = 24[/tex]
ANswer:
[tex]4! = 24[/tex]
how to factor 25v^2+5v^2+30v+6 (please show work)
So you have:
25v² + 5v² + 30v + 6
First you combine the like terms (all of the v²)
25v² + 5v² + 30v + 6
= 30v² + 30v + 6 (25v² + 5v² = 30v²)
Now notice that the largest common factor of all those numbers is 6. So you can take out a factor of 6:
30v² + 30v + 6
= 6 (5v² + 5v + 1)
----------------------------------------------------------
Answer:
25v² + 5v² + 30v + 6
= 30v² + 30v + 6
= 6 (5v² + 5v + 1)
This problem is worth 20 points! Please Help ASAP!!!!!!! You don't need to show work!
Pamela has a box that contains six books of fiction, seven books of humor, five books of plays, and two books of adventure. She removes one book from the box at random. Then places the book back in the box and randomly removes another book. What is the probability that Pamela first removes a book of humor followed by a book of plays?
A. 3/5
B. 1/8
C. 7/26
D. 7/80
Answer:
D.7/80
Step-by-step explanation:
⇒The question is on probability with replacement
⇒The events taken in this probability are independent of each other
⇒Formulae for combined probability of these events is the product of the probabilities of the event
Given;
6 books for fiction, F=6
7 books for humor, H=7
5 books for play, P=5
2 books for adventure, A=2
Evaluating
n(S)=6+7+5+2=20
P(H)=7/20
P(P)=5/20
P(H ∩ P)=P(H)×P(P)
7/20 × 5/20 =7/80
Add 3 to the product of 12 and the sum of 14 and 19
Answer:
399
Step-by-step explanation:
Rewrite the point-slope equation in slope-intercept form: y - 3 = 2(x + 4) A) y = 2x + 5 B) y = 2x + 7 C) y = 2x + 9 D) y = 2x + 11
The point-slope equation y - 3 = 2(x + 4) can be rewritten in slope-intercept form by distributing the slope and adding 3 to both sides, resulting in y = 2x + 11, which is option D.
Explanation:To rewrite the point-slope equation y - 3 = 2(x + 4) into slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept, we need to solve for y. Here is the step-by-step process:
Distribute the slope 2 across the expression (x + 4): y - 3 = 2x + 8.Add 3 to both sides of the equation to isolate y: y = 2x + 11.The resulting slope-intercept form of the equation is y = 2x + 11, which corresponds to option D.
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Which expression is equivalent to 8(u + 3)?
Answer:
8(u + 3) = 8u + 24Step-by-step explanation:
[tex]8(u+3)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(8)(u)+(8)(3)=8u+24[/tex]
True or False: 3( 12-8 )
______
2.5-4 = 2
Answer: False
Step-by-step explanation:
For what value of a does (1/9)^a+1 =81^a+1 x 27^2-a ?
-4
-2
2
6
Answer:
- 4
Step-by-step explanation:
Using the rule of exponents
• [tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]
• [tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex]
[tex](\frac{1}{9}) ^{a+1}[/tex] = [tex]9^{-(a+1)}[/tex] = [tex]3^{-2(a+1)}[/tex]
and right side
= [tex]3^{4(a+1)}[/tex] × [tex]3^{3(2-a)}[/tex]
Hence
[tex]3^{-2a-2}[/tex] = [tex]3^{4a+4}[/tex] × [tex]3^{6-3a}[/tex]
[tex]3^{-2a-2}[/tex] = [tex]3^{a+10}[/tex]
Equating exponents on both sides gives
a + 10 = - 2a - 2 ( add 2a to both sides )
3a + 10 = - 2 (subtract 10 from both sides )
3a = - 12 ( divide both sides by 3 )
a = - 4
Answer:
the answer to the question you is A on edg
Step-by-step explanation:
Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises.
f(−1) =
f(1) =
f(2) =
Answer:
Step-by-step explanation:
The value of the function f(x) at x=a can be determined by substituting a instead of x into the function expression.
1. When x=-1, then
f(-1)=2\cdot (-1)^3-3\cdot (-1)^2+7=-2-3+7=2.
2. When x=1, then
f(1)=2\cdot 1^3-3\cdot 1^2+7=2-3+7=6.
3. When x=2, then
f(-1)=2\cdot 2^3-3\cdot 2^2+7=16-12+7=11.
Answer:
f(-1)=2
f(1)=6
f(2)=11
Step-by-step explanation:
The given function is [tex]f(x)=2x^3-3x^2+7[/tex]
Substitute x = -1 to find the value of f(-1)
[tex]f(-1)=2(-1)^3-3(-1)^2+7\\\\=-2-3+7\\\\=2[/tex]
Thus, f(-1)=2
Substitute x = 1 to find the value of f(1)
[tex]f(1)=2(1)^3-3(1)^2+7\\\\=2-3+7\\\\=6[/tex]
Thus, f(1)=6
Substitute x = 2 to find the value of f(2)
[tex]f(2)=2(2)^3-3(2)^2+7\\\\=16-12+7\\\\=11[/tex]
Thus, f(2)=11
Which function has two x-intercepts, one at (0, 0) and one at (4, 0)? f(x) = x(x − 4) f(x) = x(x + 4) f(x) = (x − 4)(x − 4) f(x) = (x + 4)(x + 4)
If you want a polynomial to have the x-intercepts of your choice, you simply have to build a polynomial by multiplying pieces like [tex](x-x_k)[/tex] where [tex]x_k[/tex] is the x-intercept you want.
So, if you want x-intercepts 0 and 4, you have to build the polynomial
[tex](x-0)(x-4) = x(x-4)[/tex]
The function that has x-intercepts at (0, 0) and (4, 0) is f(x) = x (x − 4).
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 x-intercepts of a function are the points where the graph of the function crosses the x-axis.
At these points, the value of the function is zero.
To have x-intercepts at (0, 0) and (4, 0), the function must be zero when x is equal to 0 and 4.
Let's evaluate the given options:
f(x) = x(x − 4):
This function is zero at x = 0 and x = 4, so it has x-intercepts at (0, 0) and (4, 0).
f(x) = x(x + 4):
This function is zero at x = 0 and x = -4, so it does not have an x-intercept at (4, 0).
f(x) = (x − 4)(x − 4):
This function is zero at x = 4, but it also has a double root at x = 4, so it only has one x-intercept at (4, 0).
f(x) = (x + 4)(x + 4):
This function is zero at x = -4, but it does not have an x-intercept at (0, 0).
Therefore,
The function that has x-intercepts at (0, 0) and (4, 0) is f(x) = x(x − 4).
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Help please. Write a formula for the perimeter of an equilateral triangle. Evaluate the formula for the side length of 3.5 cm.
Answer:
A
Step-by-step explanation:
the side of the triangle is 3.5 cm. all 3 sides are the same length because it is an eq. triangle. 3.5*3=9+1.5=10.5
If X-A=B what is X???
We have that the value of matrix x is is mathematically given as
X={-7 -2;7 0}Option A
From the question we are told
If X-A=B what is X
MatrixGenerally the equation for Matrix is mathematically given as
X=B+A
Therefore
X=B{-9 5; 1 -1}+A{2 -7;6 1}
X={-7 -2;7 0}
Therefore
X={-7 -2;7 0}
Option A
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[tex]x^2+3=3-x[/tex]
Answer:
x= 0 and x = -1
Step-by-step explanation:
Solving the equation:
[tex]x^2 +3 = 3-x[/tex]
Adding -3 on both sides
[tex]x^2 +3-3 = 3-3-x[/tex]
[tex]x^2 = -x[/tex]
Rarranging
[tex]x^2 +x= 0[/tex]
Solving quadratic equation using quadratic formula
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
where a = 1 , b =1, c= 0
[tex]x=\frac{-1\pm\sqrt{(1)^2-4(1)(0)}}{2(1)}\\x=\frac{-1\pm\sqrt{1-0}}{2}\\x=\frac{-1\pm\sqrt{1}}{2}\\x=\frac{-1\pm1}{2}\\x = \frac{-1+1}{2} \,\,and\,\, x=\frac{-1-1}{2}\\x= \frac{0}{2} \,\,and\,\, x=\frac{-2}{2}\\x=0 \,\,and\,\, x= -1[/tex]
So, x= 0 and x = -1
The answer should be x = [0, -1]
-3 < n < 1 what is the possible value of n
Answer:
see explanation
Step-by-step explanation:
Given
- 3 < n < 1
Then possible integer values of n are n = - 2, - 1, 0
A wise women once said "650 reduced by triple my age is 452." What is her age?
Answer:
She is 66 years old.
Step-by-step explanation:
If you minus 452 from 650, you get 198.
198 (the whole amount taken from 650) and divide it by 3: you get 66.
Answer:
She is 66 years old.
Step-by-step explanation:
If you minus 452 from 650, you get 198.
198 (the whole amount taken from 650) and divide it by 3: you get 66.
Find the infinite geometric sum of 80 + 10 +1.25 + ... to 5 decimal places past the decimal point.
To find the infinite geometric sum of the series 80 + 10 + 1.25 + ..., use the formula S = a / (1 - r), with 'a' as the first term and 'r' as the common ratio. Apply the significant figures principle for accurate rounding when approximating to a certain number of decimal places.
Explanation:The student's question involves finding the infinite geometric sum of the series 80 + 10 + 1.25 + .... To determine this sum, we use the formula for the sum of an infinite geometric series, S = a / (1 - r), where 'S' is the sum of the series, 'a' is the first term, and 'r' is the common ratio between terms. In this series, 'a' is 80, and the common ratio 'r' can be found by dividing the second term by the first term, which is 10/80 or 1/8.
Plugging the values into the formula gives us S = 80 / (1 - (1/8)) which simplifies to S = 80 / (7/8) = 80 * (8/7) = 640/7. Calculating this yields an infinite sum which can be approximated to decimal places as needed.
For precise calculations, especially when rounding to a certain number of decimal places or significant figures, the rules of significant figures must be followed. As the sample information shows, if a number in the tenths place is to be dropped and it's greater than 5, we round up to ensure the final value adheres to the significant figures principle, consistently providing a more accurate and professional result.
Enter the product of 8w - 3 and w-1.
Answer:
8w² - 11w + 3
Step-by-step explanation:
(8w - 3)(w - 1)
= 8w² - 8w - 3w + 3
= 8w² - 11w + 3
Answer:
(8w -3) (w -1) =
8w^2-5w+3
Step-by-step explanation:
Indicate a general rule for the nth term of this sequence.
-6a, -3a, 0a, 3a, 6a. . .
an = 3an + 9a
an = -3an - 9a
an = -3an + 9a
an = 3an - 9a
difference=3a
so an=-6a+(n-1)3a
=3an-9a
Answer:
Option D. [tex]a_{n}=3an-9a[/tex] is the answer.
Step-by-step explanation:
The given sequence is -6a, -3a, 0a, 3a, 6a...........
Since the given sequence is having a common difference d = -3a - (-6a) = -3a + 6a = 3a
Therefore, the given sequence is an arithmetic sequence.
And for an arithmetic sequence general rule or explicit formula is given by
[tex]T_{n}=a+(n-1)d[/tex]
Where a = first term of the sequence
d = common difference
n = number of term which we have to find
Now we put the values from the given sequence
[tex]T_{n}=-6a+(n-1)3a[/tex]
[tex]T_{n}=-6a+3an-3a[/tex]
[tex]T_{n}=3an-9a[/tex]
Option D. [tex]a_{n}=3an-9a[/tex] is the answer.
Help plzzz! I need help with this question. Thx!
The average commute times for employees of a large company is 23 minutes.
The commute time of 12 employees are
25, 33, 26, 29, 17, 29, 42, 19, 15, 52, 11, and 14.
Answer:
Well to find the Mean you Add all of the numbers up and Divide by How many numbers there are
The sample mean is 26 mins and the population mean is 23 mins.
What is sample mean?An average of a group of data is referred to as a sample mean.
What is population mean?The population mean is an average of a group characteristic.
The population mean = 23 minutes(given)
Sample mean = (25 + 33 + 26 + 29 + 17 + 29 + 42 + 19 + 15 + 52 + 11 + 14) / 12
Sample mean = 312 / 12
Sample mean = 26 minutes
Hence, the value of sample mean is 26 minutes and the value of population mean is 23 minutes.
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what is 3× + 4 (× +2) +4y
Expand
3x + 4x + 8 + 4y
Collect like terms
(3x + 4x) + 8 + 4y
Simplify
= 7x + 8 + 4y
Answer:
7x + 4y + 8
Step-by-step explanation:
Please be more explicit regarding your goal. "What is ... " could be interpreted in several ways. I will assume you meant, "What is the simplest form of 3x + 4(x + 2) + 4y?" Finally, please use the regular character, " x, " when you mean a variable and use the character " × " for multiplication.
What is the simplest form of 3x + 4(x + 2) + 4y? Do the indicated multiplication. We get: 3x + 4x + 8 + 4y, which in turn is 7x + 4y + 8.
What value of x makes this equation true? -1/4x-12=x+3
Answer:
x = -12
Step-by-step explanation:
Step 1: Isolate x
1/4x + x = -12 - 3
Step 2: Combine like terms
5/4x = -15
Step 3: Simplify
x = (-15)(4/5)
x = -12
Answer: -12
Step-by-step explanation:−1 /4 x−12=x+3
Step 1: Subtract x from both sides.
−1 /4 x−12−x=x+3−x
−5 /4 x−12=3
Step 2: Add 12 to both sides.
−5 /4 x−12+12=3+12
−5 /4 x=15
Step 3: Multiply both sides by 4/(-5).
( 4 /−5 )*( −5 /4 x)=( 4 /−5 )*(15)
x=−12
In which of the following intervals is the average rate of change greater for f than for g
Answer: Option B
[3, 5]
Step-by-step explanation:
The function g(x) is a line of slope m = 4. Therefore, its rate of change is constant and equal to 4.
The rate of change of the function f(x) in the interval [tex][x_1, x_2][/tex] is calculated with the following formula
[tex]m =\frac{y_2-y_1}{x_2 - x_1}[/tex]
Note that the rate of change of the function increases as x increases.
For example
For [-1, 0]
[tex]m =\frac{4-3.5}{0 - (-1)}[/tex]
[tex]m =\frac{1}{2}[/tex]
[tex]\frac{1}{2}<4[/tex]
For [0, 2]
[tex]m =\frac{7-4}{2 - 0}[/tex]
[tex]m =\frac{3}{2}[/tex]
[tex]\frac{3}{2}<4[/tex]
For [1, 3]
[tex]m =\frac{11-5}{3-1}[/tex]
[tex]m =3[/tex]
[tex]3<4[/tex]
For [3, 5]
[tex]m =\frac{35-11}{5-3}[/tex]
[tex]m =12[/tex]
[tex]12>4[/tex]
use an inequality symbol to compare -17 blank -1
[tex]\text{Hey there!!}[/tex]
[tex]\text{Negatives are BELOW 0}[/tex]
[tex]\text{If you have a number line you would see that the negatives goes on the LEFT}[/tex] [tex]\text{SIDE of the number line, while the POSITIVES are on the RIGHT SIDE}[/tex]
[tex]\text{If 17 is GREATER THAN 1 on the number line than -17 is BIGGER THAN -1 in this case}[/tex]
[tex]\boxed{\boxed{\text{Answer:-17}<-1}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]