Answer:
4
Step-by-step explanation:
2^2 - (2)(-2) - (-2)^2
=4+4-4
=4
2² - (2 × -2) - (-2²)
= 4 - (-4) - 4
= 4 + 4 - 4
= 8 - 4
= 4
Solve for k.
Give an exact answer.
1/4k = 3(-1/4k+3)
Answer:
k=9
HOPE THIS IS CORRECT!
Answer:
k =9
Step-by-step explanation:
I'm just built different
Greg went to Bed Bath and Beyond to buy Christmas gifts for his family this year. In his first trip he bought 4 candles, 5 wallflowers, and 6 lotions for a total of $123. Greg forgot some people on his list the first time so he makes a second trip and spent $48 to buy 2 candles, 3 wallflowers, and 1 lotion. The price of a lotion is 2 less than 2 times the price of a wallflower. How much does each item cost?
Answer:
Price of Candle: 12.5
Price Wallflower: 5
Price of Lotion: 8
Step-by-step explanation:
Let cost of a candle = [tex]x[/tex]
Let cost of a wallflower = [tex]y[/tex]
Let cost of a lotion = [tex]z[/tex]
Cost of 4 candles = 4[tex]x[/tex]
Cost of 5 wallflowers = 5[tex]y[/tex]
Cost of 6 lotions = 6[tex]z[/tex]
Cost of 2 candles = 2[tex]x[/tex]
Cost of 3 wallflowers = 3[tex]y[/tex]
Cost of 1 lotion = [tex]z[/tex]
As per question statement:
[tex]4x+5y+6z=123 .... (1)\\2x+3y+z=48 ...... (2)\\z=2y-2 ..... (3)[/tex]
Using equation (3) in (1) and (2), the equations get reduced to :
[tex]\Rightarrow 4x+17y = 135 ..... (4)\\\Rightarrow 2x+5y = 50 ..... (5)[/tex]
Multiplying (5) with 2 and subtracting from equation (1):
[tex]7y = 35\\\Rightarrow y = 5[/tex]
By equation (3):
[tex]\Rightarrow z =8[/tex]
By equation (4):
[tex]\Rightarrow x = 12.5[/tex]
Therefore, the answer is:
Price of Candle: 12.5
Price Wallflower: 5
Price of Lotion: 8
How will the solution of the system y > 2x + Two-thirds and y 2x + One-third?
Sample Response: There is no solution to the system in its original form. There are no points in common. If the signs are reversed, the system has an intersection with an infinite number of solutions.
What did you include in your response? Check all that apply.
The shaded area would reverse on both inequalities.
The graphs do not overlap until the signs are reversed.
There are an infinite number of solutions in the system once the signs are reversed.
There are no solutions before they are reversed.
Answer:
all of them.
Step-by-step explanation:
Hope this helps!
<3
~nxmbus
33+36 is the same as Blank +29
how do I find the value of x in a isosceles and equilateral triangle
What is the value of x?
Answer:
1 is the value of x
Step-by-step explanation:
...............
What is the y-intercept of the graph of the linear function?
Answer:
Your y-intercept will be -6
Step-by-step explanation:
Answer:
- 6
Step-by-step explanation:
The y-intercept of a graph is the point on the graph where the line crosses the y-axis (vertical line). In this case, it was -6.
**please mark brainliest!!
On a team, 6 girls and 5 boys scored a total of 57 points. The difference between the number of points scored by the 6 girls and the number of points scored by the 5 boys is 27. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy.
Answer:
The number of points scored by girls = x = 7 points
The number of points scored by boys = y = 3 points
Step-by-step explanation:
The number of points scored by girls = x
The number of points scored by boys = y
On a team, 6 girls and 5 boys scored a total of 57 points.
6 × x + 5 × y = 57
6x + 5y = 57....... Equation 1
The difference between the number of points scored by the 6 girls and the number of points scored by the 5 boys is 27.
6x - 5y = 27.......... Equation 2
6x + 5y = 57....... Equation 1
6x - 5y = 27.......... Equation 2
We Add the Equations together
12x = 84
x = 84/12
x = 7 points
6x + 5y = 57....... Equation 1
6(7) + 5y = 57
42 + 5y = 57
5y = 57 - 42
5y = 15
y = 15/5
y = 3 points
Hence:
The number of points scored by girls = x = 7 points
The number of points scored by boys = y = 3 points
A rectangular prism has a height of 15 centimeters. The base of the prism has an area of 22 square centimeters. What is the volume of the prism?
Answer:
330cm^3
Step-by-step explanation:
22 only has 2 factors 11&2. So take 11•2•15=330 Doing it as 22•1•15 works as well.
This is a test my sister made to see how smart I am plz help.
Answer:
16.) second choice: (5,-6)
17.) third choice: (-10) (-8) (-5) (0) (1)
18.) fourth choice: (.18) (0.4) (1/4) (227)
Ms. Davis counts 12 large boxes and 18 small boxes of pencils in the supply cabinet. Each large box contains 144 pencils. Each small box contains 24 pencils. Estimate the number of pencils. Is your estimate an underestimate or an overestimate? The find the exact answer.
Answer:
Estimated amount of pencils = 2040 pencils
Exact amount of pencils = 2160 pencils
Step-by-step explanation:
Estimated amount of pencils are calculated by:
rounding up the numbers to the nearest tens
large box= 144 pencils = 140 pencils
small box = 24 pencils = 20 pencils
Estimated number of pencils =
(12 × 140) + (18 × 20)
= 1680 + 360
= 2040 pencils
This is an underestimate
The exact number of pencils is calculated as:
(12 × 144 pencils ) + (18 × 24 pencils)
= 1728 pencils + 432
= 2160 pencils
Heng was trying to factor 10x^2+5x. She found that the greatest common factor of these terms was 5x5x5, x and made an area model:
Answer:
[tex]Width = 5x + 1[/tex]
Step-by-step explanation:
Given
[tex]Area = 10x^2 + 5x[/tex]
[tex]Length = 5x[/tex]
Required (Missing)
Determine the Width?
Area is calculated as:
[tex]Area = Length * Width[/tex]
Substitute values for Area and Length
[tex]10x^2 + 5x = 5x * Width[/tex]
Factorize the right hand side
[tex]5x(5x + 1) = 5x * Width[/tex]
Divide both sides by 5x
[tex]5x + 1 = Width[/tex]
Hence, the width of the model is 5x + 1
The image point of A after a translation right 4 units and down 4 units is the point B(12, – 7). Determine the coordinates of the pre-image point A.
Answer:
(8, –3)Step-by-step explanation:
Translation right or left means change of the x-coordinate.
Translation up or down means change of the y-coordinate.
Translation right or up means adding.
Translation left or down means subtracting.
[tex]A=(x_A, y_A)\quad\rightarrow\quad B=(x_A+4,\,y_A-4)\\\\x_A+4=12\qquad\qquad y_A-4=-7\\\\x_A=12-4\qquad\qquad y_A=-7+4\\\\x_A=8\qquad\qquad\qquad y_A=-3\\\\A=(8,-3)[/tex]
please help fast. - a pair of equations are shown below:
y = 7x - 8
y = 5x - 2
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
y = 7x - 8 → (1)
y = 5x - 2 → (2)
A
Solving by substitution
Substitute y = 7x - 8 into (1)
7x - 8 = 5x - 2 ( subtract 5x from both sides )
2x - 8 = - 2 ( add 8 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Substitute x = 3 into either of the 2 equations and evaluate for y
Substituting into (1)
y = 7(3) - 8 = 21 - 8 = 13
Solution is (3, 13 )
B
The point of intersection of the graph of the 2 equations is the solution to the above equations.
That is point of intersection = (3, 13 )
How much greater is the perimeter of a square with an area of 144 square meters than the perimeter of a square with a side length of 9 meters?
Answer:
12 meters
Step-by-step explanation:
Area of square = 144 Sq m
[tex]side \: of \: square = \sqrt{144} \\side \: of \: square = 12 \: m \\ \\ perimeter \: of \: square \: \\ = 4 \times 12 \\ = 48 \: m \\ \\ perimeter \: of \: square \: with \: \\ side \: 9 \: m \\ = 4 \times 9 \\ = 36 \: m \\ \\ diference \: in \: perimeters \\ = 48 - 36 = 12 \: m[/tex]
GUYSSSSSSS!!!!!!! PLEASE PLEASE!!! PLEASE HELP!! ILL MARK BRAINLIEST!!
Answer:(1, 1)
Step-by-step explanation:
u just move it 4 left and 3 up cuz x is left and right and its negative so left, then y is up and down and it's positive so up
Using the given diagram, solve for x.
Help Please!Solve For Z.
Answer:
Step-by-step explanation:
z = whole root (x^2 + 9)
What are the x intercept and y intercept of the graph of 5x+8y=20
Answer:
x intercept: (4,0)
y intercept: (0,2 1/2)
Step-by-step explanation:
x intercept is (4, 0) and y intercept is (0,5/2) of the graph of 5x+8y=20
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
5x+8y=20
8y=-5x+20
Divide both sides by 8
y=-5/8x+20/8
y=-5/8x+5/2
Now put x=0 to find y intercept
y=5/2
Now put y=0 to find x intercept
-5/2=-5/8x
4=x
Hence, x intercept is (4, 0) and y intercept is (0,5/2).
To learn more on slope of line click:
https://brainly.com/question/14511992
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The baseball team has a double-header on Saturday. The probability that they will win both games is 42%. The probability that they will win the first game is 60%, What is the probability that the team will win the second game given that they have already won the first game?
The probability that the team will win the second game given that they have already won the first game is 7/10
Event win in the 1st game is represented with A
Event win in the 2nd game is represented with B
In the question
i. The probability that they will win both games is P(AnB) = 42%
ii. The probability that they will win the first game is P(A) = 60%
The probability that the team will win the second game given that they have already won the first game is:
P(B/A) = P(BnA) / P(A)
P(B/A) = P(AnB) / P(A)
From the question
P(B/A) = 42% / 60%
P(B/A) = 0.42 / 0.60
P(B/A) = 7/10
In conclusion: The probability that the team will win the second game given that they have already won the first game is 7/10
See related question here https://brainly.com/question/23423241
please help and answer this question
Answer:
-2x+9
This is the answer you are looking for
YOUR WELCOME! :D
The table below represents a linear function f(x) and the equation represents a function g(x):
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)
Answer:
Step-by-step explanation:
Part A
for f(x) slope between points (-1,-6) and (1,0)
m= y2-y1/x2-x1 = -6-0/-1-1 = -6/-2= 3
for g(x) slope m=4 because we compare to equation y=mx+b the given equation g(x)=4x-5
The slope of f(x) is 3 and the slope g(x) is 4 so the line of g(x) is steeper
part B
The y intercept for g(x) is (0, -5)
The equation of f(x) can be found
y-y1 =m(x-x1) take any point for example point (1,0)
y-1 =3(x-0)
y=3x+1 so the y-intercept is at (0,1)
The y-intercept for f(x) is greater at y=1 then the one of g(x) at y=-5
PLA ANSWER I DONT KNOW THIS
Answer:
x=45
Step-by-step explanation:
I can give you two solutions
First solution:
In [tex]\triangle FBA[/tex] we know that
[tex]\angle BFA + \angle FAB + \angle ABF=180\\\\90+x+\angle ABF =180\\\\\angle ABF =90-x[/tex]
same case for [tex]\angle EBC[/tex] in [tex]\triangle ECB[/tex]
so we have that
[tex]\angle ABC = \angle ABF + \angle FBE +\angle EBC\\\\\angle ABC = 90-x+45+90-x\\\\\angle ABC = 180+45-2x[/tex]
we leave it like that because it's convenient
Now by properties of parallelograms we know that opposite sides add up to 180
[tex]\angle FAB + \angle ABC = 180\\\\x+180+45-2x=180\\\\x+45-2x=0\\\\45-x=0\\\\x=45[/tex]
so one angle is 45 and the other one is 135
Solution 2
if we look at DEBF we can say that it's a cyclic quadrilateral
because opposite sides add up to 180
in our case
[tex]\angle DFB = 180 -\angle BFA = 180-90 = 90\\\\\angle DEB = 90\\\\\Rightarrow \angle DFB + \angle DEB = 180\\\\[/tex]
so for the other to angles is also true
[tex]\angle FDE + \angle EBF = 180\\\\\angle FDE +45 = 180\\\\\angle FDE = 135[/tex]
so that's the measure of one angle of the parallelogram
the other angle x is
[tex]\angle EDF + \angle FAB = 180\\\\135+x=180\\\\x=45[/tex]
There you go choose yourself
3x + 10 =1 A:x=6B=X=3 C:x=-3
Answer:
x = -3
Step-by-step explanation:
3x + 10 -10 = 1 - 10
3x = -9
3x / 3 = -9/3
x = -3
HELP ASAP! Will mark brainliest! Please give actual, correct answers because this is very important.
Answer:
1.) -t (r - s)
-3 (-6 - 3)
16 + 6
22
2.) B
A linear equation consists of y = slope + y-intercept (y = mx +b). In this case, the slope will rise by 1 and run (right) by 1.
3.) I`m sorry I`m not too sure about this one
I hope the first couple helped, I`m sorry I don`t know the last one.
Which graph shows the solution for d?
Answer:
is there a picture????
PLEASEEE HELPP
solve for x
x/4 ≥ -8
x ≥ -2
x ≥ -32
x ≤ -32
x ≤ -2
Answer:
Step-by-step explanation:
X/4 ≥ -8
4 x X/4 ≥ -8 x 4
X ≥ -32
13) How do you know when to use the mean or median as the best measure of center?
Answer:
The mean is the most common measure of center. It is what most people think of when they hear the word "average". However, the mean is affected by extreme values so it may not be the best measure of center to use in a skewed distribution. The median is the value in the center of the data.
Step-by-step explanation:
hope this helps
Can somebody help me out with this ??? please .
Answer:
Step-by-step explanation:
you have alternate angles, which are equal
6z-91=71
6z=71+91=162
z=162/6=27
z=27
y=180-27=153
Brainliest!!!!!!!!!!!!!!
Answer:
The answer is 286.
Explanation:
We first find the first term of the sequence, a₁. We use the explicit formula for an arithmetic sequence to do this:
We know the 6th term is 22; this means we substitute 6 in for n. We also know the common difference is 6, so we use that for d. That gives us a₆=a₁+6(6-1).
We know the value of the sixth term is 22, so we use that instead of a₆:
22=a₁+6(6-1).
Evaluating this, we have
22=a₁+6(5)
22=a₁+30.
Subtract 30 from both sides, and we have
22-30=a₁
-8=a₁.
We now use this value in our explicit formula:
To find the fiftieth term we replace n with 50:
a₅₀= -8+6(50-1)
a₅₀= -8+6(49)
a₅₀= -8+294
a₅₀=286