Answer:
[tex]y = 4x - 12[/tex]
Step-by-step explanation:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept(value of x when y = 0).
In this question:
Slope 4, which means that [tex]m = 4[/tex].
So
[tex]y = 4x + b[/tex]
Contains point (1,-8).
This means that when [tex]x = 1, y = -8[/tex]. We replace this into the equation to find b. So
[tex]y = 4x + b[/tex]
[tex]-8 = 4(1) + b[/tex]
[tex]b = -12[/tex]
So
[tex]y = 4x - 12[/tex]
(AUB) nc
[2]
A union b intersection c’
See the attached image.
We start this problem by finding the union of [tex]A[/tex] and [tex]B[/tex]. This is highlighted in green in the attachment.
Next, we find the intersection of that area and [tex]C[/tex] (highlighted in yellow). This means we need to find the area where both [tex]A\cup B[/tex] and [tex]C[/tex] are highlighted. This intersection is highlighted in pink and is the final answer.
(Apologies for the image quality.)
The physical plant at the main campus of a large state university receives daily requests to replace florescent light bulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 37 and a standard deviation of 8. Using the empirical (68-95-99.7) rule, what is the approximate percentage of light bulb replacement requests numbering between 37 and 61
Answer:
49.85% of light bulb replacement requests numbering between 37 and 61
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 37, Standard deviation = 8
Using the empirical (68-95-99.7) rule, what is the approximate percentage of light bulb replacement requests numbering between 37 and 61
37 is the mean
61 = 37 + 3*8, so 61 is three standard deviations above the mean
The normal distribution is symmetric, which means that 50% of the measures are above the mean and 50% are below.
By the Empirical Rule, of the 50% of the measures that are above the mean, 99.7% will be between the mean of 37 and three standard deviations above the mean, which is 61. So, this percentage is:
0.5*0.997 = 0.4985 = 49.85%
Identify if it is Additive or Multiplicative.Also make the equation that matches.
Answer:
additive
Step-by-step explanation:
X +9 = Y
Hope this helps!
Braniliest?
Which of the following graphs represents a relation that is not a function
I need help please. .
Answer:
i think c
Step-by-step explanation:
PLEASSS HELP!!!!!!! I REALLY NEED HELP!!
Answer:
[tex] \underline{ \boxed{x = 11} } \\ \underline{ \boxed{ABE = 55}}[/tex]
Step-by-step explanation:
[tex]if \: the \: question \: is \to \\ \overline{AZ} \: \perp \: \overline{CD}, \: m \angle{ABE} = 5x, \\ and \\ \: m \angle{EBD } = 3x + 2\\ but \: m \angle{EBD } + m \angle{ABE} = 90 \\ hence \to \\ (3x + 2) + (5x) = 90 \\ 8x + 2 = 90 \\ 8x = 90 - 2 \\ 8x = 88 \\ x = \frac{88}{8} \\ \boxed{ x = 11} \\ \\ if \: x = 11, \: then \to \\ m \angle{ABE} = \: 5x = 5(11) \\ \boxed{m\angle{ABE} =55}[/tex]
X + 10y - 4y + 4x
:combine like terms:
a rectangular box has 6 flat faces and ? straight edges
A.4
b.6
c.8
d.10
e.12
Answer:
12 straight edges
Answer: 12
Step-by-step explanation:
10,000 times 100,00 help please
Answer:1,000,000
Step-by-step explanation:THERE U GO :)
5% as a decimal and a fraction
Answer:
5%=0.05=1/20
Step-by-step explanation:
1 foot =12 inches therefore 3 feet = what
Answer:
36 inches
Step-by-step explanation:
Just multipy 3 by 12.
PLEASE HELP FIND THE MEDIAN OF THESE NUMBERS:
55, 42, 78, 99, 69, 83, 74, 83, 97
Look at the triangle below.
Which of the following statements is not true?
a+b=y
180−(a+b)=y
x+y=180
180−x=a+
x+y=180 a+b=y
180−(a+b)=y
If charlie runs to the store 3 miles away in 32 minutes, what is his speed?
Answer:
5.63
Step-by-step explanation:
i took the test
Answer:
5.63 miles per hour
0.0948 miles per minute
10:40 pace per mile
Which sentence is true about an equiangular triangle
A. Only 2 angles have the same measure.
B. Only 2 sides are the same length.
C. Each angles has a different measure.
D. All sides are different lengths.
E. All angles have the same measure.
Answer:
E
Step-by-step explanation:
it has equi which means equal then it has angle. Equal angle triangle
Answer:
E
Step-by-step explanation:
its equal triangle hope this helped good luck
Please answer this for 100 points. Also click on the picture to full screen it.
Answer:
C
Step-by-step explanation:
Hope this helps have a great day. :))))
I NEED HELP WITH THIS PROBLEM
Answer:
3 1/2, 3
Step-by-step explanation:
Good luck!
Answer:
(3.5,-3)
hope that helpeddd :)
For the given pair of equations, give the slopes of the lines, and then determine whether the two lines are parallel, perpendicular, or neither.
10x – 3y = 3
3x + 10y = 30
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope of 10x - 3y = 3 is
(Type an integer or a simplified fraction.)
O B. The slope of 10x - 3y = 3 is undefined.
Answer:
the lines are perpendicular to each other
Step-by-step explanation:
The standard form of equation of a line is y = mx+c
m is the slope of the line
c is the intercept
Given the equations
10x – 3y = 3
3x + 10y = 30
Get the individual slopes
For 10x – 3y = 3
Rewrite in standard form
-3y = -10x + 3
y = 10/3 x - 3/3
y = 10/3 x - 1
Slope of the line is 10/3
For the equation 3x + 10y = 30
10y = -3x+30
y = -3/10 x + 3
Slope of the line is -3/10
Take the product of the slopes
10/3 * -3/10 = -1
Since the product of their slopes is -1, hence the lines are perpendicular to each other
Can someone help me pls
is lebron james black
Answer:
yes he is a african american
Step-by-step explanation:
jim had 20 to spend at the video rental he has a late fee of 4.00 and it will cost him 2.99 to rent each movie not including tax, which inequality can jim write to solve for the most number of movies, m, he can rent
Answer:
2.99m-4 (less than or equal to symbol after) 20
Step-by-step explanation:
This would come out too 5 movies because 20-4= 16 16-2.99=5.3 but it is impossible to buy 5.3 movies so you would round it down to 5
what is --
% of $85 = $17
Answer:
78
Step-by-step explanation:
Answer
78
Step-by-step explanation:
What is the quotient?
6)12
A 2
B. 3
C. 4
D. 5
Answer:
A.2 po
Step-by-step explanation:
himdi po ako sure sa answer ko
What is the slope of (-2,5) and (-2, -6)
a m=undintified
b m= 0
c m= 11 over 4
d m= negative 11 over 4
Answer:
B
Step-by-step explanation:
Apply slope intercept form, y2-y1 / x2 - x1. -6 is y2, -2 is x2, 5 is y1, and -2 is x1.
-6 - 5 / - 2 - (-2)
-11 / -2 + 2
-11 / 0
0
The slope is 0. B is your answer. I hope this helps you!
The question is on the jpg link.
Answer:
A. y=-4/3x
Step-by-step explanation:
The line that passes through those points has a slope of -4/3
Slope intercept form is y=mx+b
whereas m is the slope and b is where the line intercepts the y-axis.
the line intercepts the y-axis at the origin.
Substitute the slope into the equation
y=-4/3x+0
y=-4/3x
Hope this helps. Have a nice day you amazing bean child.
Help please on this question
Answer: I think that if it is not 214 than you should just guess and see if that is the correct answer
Step-by-step explanation:
Yahir Garcia Solis
Gerald read
7
of a book. Mary read of the same book.
How much more of the book did Gerald read?
Georgia made many contributions to the war effort during World War I.
For each Georgia contribution, indicate the industry or group of people who made it. ( 1 answer will be used two times)
Trained Recruits
provided canned goods, uniforms, and bandages
planted victory gardens
Georgia farmers
volunteered for military duty
Georgia military facilities
grew cotton for clothing
CHOICES:
Georgia Farmers
Georgia Military facilities
Georgia Factories
Georgia Citizens
A room 24'-0" x 22'-6" requires ____ square feet of ceiling tile and ____ square yards of carpet. (1 square yard = 9 square feet; 3' x 3' = 9')
Answer:
540 ft² ; 60 yd²
Step-by-step explanation:
1 square yard = 9 ft²
Dimension of room:
24ft 0in by 22ft 6in
1 in = 1/12 ft
6in = (1/12) * 6 ft = 0.5 feet
Hence, Dimension of room in feet ;
24ft by 22.5 ft ;
Square feet of ceiling tiles; (24 * 22.5)ft² = 540ft²
Square yards of carpet needed :
1 yd² = 9 ft²
Let yd² of carpet needed = x
1 yd² = 9 ft²
x yd² = 540 ft²
Cross multiply ;
9x = 540
x = 540 / 9
x = 60
Hence, 60yd² of carpet is needed
All of the following ordered pairs satisfy the function rule y=-3x+2 except
(1, -1)
(4,-10)
(-2,8)
(-3, 12)
Answer:
The ordered pair (-3, 12) DOES NOT satisfy the equation.
Step-by-step explanation:
Given the function
[tex]y=-3x+2[/tex]
Let us substitute all the values to check which points satisfy the function.
FOR (1, -1)
y = -3x+2
substitute x = 1, y = -1
-1 = -3(1) + 2
-1 = -3+2
-1 = -1
TRUE!
Thus, the ordered pair (1, -1) satisfies the equation.
FOR (4, -10)
y = -3x+2
substitute x = 4, y = -10
-10 = -3(4) + 2
-10 = -12+2
-10 = -10
TRUE!
Thus, the ordered pair (4, -10) satisfies the equation.
FOR (-2, 8)
y = -3x+2
substitute x = -2, y = 8
8 = -3(-2) + 2
8 = 6 + 2
8 = 8
TRUE!
Thus, the ordered pair (-2, 8) satisfies the equation.
FOR (-3, 12)
y = -3x+2
substitute x = -3, y = 12
12 = -3(-3) + 2
12 = 9+2
12 = 11
L.H.S ≠ R.H.S
FALSE!
Thus, the ordered pair (-3, 12) DOES NOT satisfy the equation.
Therefore, the ordered pair (-3, 12) DOES NOT satisfy the equation.
A family of three goes to a salon. Each person gets a haircut and highlights. The cost of each haircut is $15, and the cost per person for highlights is x dollars. Write and simplify an expression that represents the total cost for the family at the salon
Answer:
45+3.x
Step-by-step explanation:
Each person gets a haircut --> 3.15= 45