Answer:
y = .25x + 3
Step-by-step explanation:
First, you need to find the slope of the equation which is change in y over change in x. For this question, it's (6-2)/(12-(-4)) = 4/16 = 1/4
After, choose a point and plug it into the point slope formula: y - y0 = m(x - x0)
I chose the first point.
You should get y - 2 = .25(x + 4)
y -2 = .25x + 1
y = .25x + 3
To use the slope-intercept form, we need a slope.
Recall that the slope of a line m = (y2 - y1) / (x2 - x1). We are given the coordinates of two points, both of which lie on the line (the line passes through them): (-4,2) and 12,6).
So given these two points, let's let x1 = -4 and y1 = 2; and let's let x2 = 12 and y2 = 6. Substituting these values into the equation for the slope of a line, we get
m = (6 - 2) / [12 - (-4)] = 4 / 16, or m = 1/4
So now we have the slope, and we can use the point-slope form of the equation of a line to help us determine the y-intercept. The point-slope form is y - y1 = m * (x - x1)
Substituting our slope m = 1/4 and either one of the points (let's say the first point), we have
y - 2 = 1/4 * [x - (-4)] = 1/4 * (x + 4)
Now add 2 to both sides of this equation, and we have y = 1/4 * (x + 4) + 2
Using the distributive law, we can further reduce this to y = 1/4 * x + 1 + 2, or y = 1/4 * x + 3
Finally, the y-intercept of a line is where the line intersects the y-axis or, mathematically speaking, where the x-coordinate is equal to zero. So let's let x = 0 in the equation above, and solve for y. Substituting x = 0 into the equation for our line, we now have
y = 1/4 * 0 + 3 = 3
So our y-intercept is 3 (three). Now we can write the equation for our line in the slope-intercept form:
y = m * x + b, where m is the slope and b is the y-intercept. Substituting for m and b, we get
y = 1/4 * x + 3.
So the equation in slope-intercept form of the line that passes through points (-4,2) and (12,6) is
y = 1/4 * x + 3
(To check your answer, substitute either one of the points into the equation...)
PLEASE HELP ME!
An angle is 1/3 the measure of its complement. What is the measure of the angle, the complement and the supplement?
Answer:
Angle: 22.5 deg, Complement: 67.5 deg, Supplement: 157.5 deg
Step-by-step explanation:
22.5 is 1/3 of 67.5
so compliment is 67.5.
Supplement is just adding another angle so I chose 7.
I did 22.5 x 7 = 157.5
Another example would be:
Angle: 10 deg, Complement: 30 (because 10 x 3), Supplement: 70 (because 10 x 7)
Hope this helps :)
please assist me with this math problem
Answer: see below
Step-by-step explanation:
I'm not sure exactly what you are asking for but here is what the box plot tells you:
Minimum is 17 items.
Q1 (Lower Quartile) is 22 items. So, 25% of the customers bought 22 items.
Q2 (Median) is 32 items. So, 50% of the customers bought 32 items.
Q3 (Upper Quartile) is 35 items, So, 75% of the customers bought 35 items.
Maximum is 62 items.
The data is "heavier" on the right so it is skewed left.
Range is 62 - 17 = 45
IQR (Interquartile range) is Q3 - Q1 = 35 - 22 = 13
how do u solve this its pre-algebra 4x – 5y = 20
Answer:
x = 5 + 5y/4
Step-by-step explanation:
I think its like this: 4x - 5y = 20
Add 5y to both sides: 4x = 20 + 5y
Divide both sides by 4: x = 20/4 + 5y/4
Simplify: x = 5 + 5y/4
I'm pretty sure it is like this
Hope this helps!
Multiple Choice Find the least common multiple of the following
numbers: 3, 4, 5, 6, 10, and 15.
A. 1
B. 15
C. 60
D. 54,000
Answer:
C. 60
Step-by-step explanation:
They all have a multiple f 60.
Suppose you have a 6-face unfair dice with numbers 1,2,3,4,5,6 on each of its faces. If the probability distribution of throwing a number up is as follows: 1 with probability 1/12 2 with probability 1/12 3 with probability 1/12 4 with probability 1/12 5 with probability 1/12 6 with probability 7/12 What are the mathematical expectation and variance of the dice based on the above probability distribution
Answer:
Expectation is equal to 4.75
Variance is equal to 3.02
Step-by-step explanation:
Consider the attached image.
Let [tex]x_i[/tex] denotes each of the outcome.
Expectation [tex]=E(X)[/tex] = ∑[tex]x_if(x_i)[/tex]
[tex]=1(\frac{1}{12}) +2(\frac{1}{12}) +3(\frac{1}{12}) +4(\frac{1}{12}) +5(\frac{1}{12}) +6(\frac{7}{12})[/tex]
[tex]=\frac{1}{12}+\frac{2}{12}+\frac{3}{12}+\frac{4}{12}+\frac{5}{12}+\frac{42}{12}\\\\=\frac{57}{12}\\\\=4.75[/tex]
[tex]E(X^2)=[/tex] ∑ [tex]x_i^2f(x_i)[/tex]
[tex]=1^2(\frac{1}{12}) +2^2(\frac{1}{12}) +3^2(\frac{1}{12}) +4^2(\frac{1}{12}) +5^2(\frac{1}{12}) +6^2(\frac{7}{12})[/tex]
[tex]=(\frac{1}{12}) +4(\frac{1}{12}) +9(\frac{1}{12}) +16(\frac{1}{12}) +25(\frac{1}{12}) +36(\frac{7}{12})\\\\=\frac{307}{12}[/tex]
Variance [tex]=E(X^2)-[E(X)]^2[/tex]
[tex]=(\frac{307}{12})-(\frac{57}{12})^2\\\\ =\frac{307}{12}-\frac{3249}{144}\\\\ =\frac{3684-3249}{144}\\\\ =\frac{435}{144}\\\\ =3.02[/tex]
What are Power functions
Answer:
A power function is a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number.
Choose 3 answers there a pictures by the way
You
Answer:
i think a,c,e
Step-by-step explanation:
Answer:5
Step-by-step explanation:
which direction would the graph of y=|x+5|-1 open?
a. down
b.up
c.right
d.left
The answer fam is.......... "b.up"
what is the product 7/11 and 3/7?
Answer: 3/11
Step-by-step explanation:
you must do cross canceling to simplify the expression
then just do multiplication from left to right
7/11 times 3/7 the 7 can be crossed out and turned into a 1
then do 1 times 3 for the numerator then 11 times 1 for the denominator and get you answer 3/11
what is 9 + 10 x2 x 8
Answer:
169
Step-by-step explanation:
9 + 10 × 2 × 8
9 + ( 10 × 2 × 8)
9 + (20×8)
9 + 160
169
can i get help plzzzzz
and explain how you got the answer
Answer:
ok
Step-by-step explanation:
Simplify the following expression.
(4x2 + 8x + 15) + (x2 - x - 27) - (x + 5)(x - 7)
What’s the answer?
Answer:
4x^2+19x-47
Step-by-step explanation:
(4x^2+8x+15)+(x^2-x-27)-(x-5)(x-7)
=(4x^2+8x+15)+(x^2-x-27)-x^2+7x+5x-35
=(4x^2+x^2-x^2) + (8x-x+7x+5x) + (15-27-35)
= 4x^2+19x-47
Hope this helps!
The given expression after simplifying 4x^2+19x-47.
We have given the following expression
[tex](4x^2+8x+15)+(x^2-x-27)-(x-5)(x-7)[/tex]
What is the expression?An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
[tex]=(4x^2+8x+15)+(x^2-x-27)-x^2+7x+5x-35[/tex]
[tex]=(4x^2+x^2-x^2) + (8x-x+7x+5x) + (15-27-35)[/tex]
[tex]= 4x^2+19x-47[/tex]
The given expression after simplifying 4x^2+19x-47.
To learn more about the expression visit:
https://brainly.com/question/723406
#SPJ2
HELP PLEASE :(
Which inequalities have the solution set graphed on the number line? Select two options.
Answer:
2 & 5
Step-by-step explanation:
Answer:
It's 1 and 4
Step-by-step explanation:
Because the arrow is going to the left so that means x is less than -4 and those equations show that
On March 1, Dilbert Inc sells 2,000 units to Tundra Inc For $5/unit or a total of $10,000. Dilbert’s cost is $3/unit. Terms are 2/10, N/30. What is Dilbert’s journal entry to record their purchase?
Answer: See attachment
Step-by-step explanation:
The journal entry for Dilbert has-been prepared and attached. The journal entry shows the transaction that was done by Dilbert on a March 1st.
Check the attachment for the entry.
I have a geometry question
The price of an item has been reduced by 75%. The original price was $15. What is the price of the item now?
Answer:
3.75
Step-by-step explanation:
you can search this up going like 75% of 15 and it will give the answer before you hit enter
An item is regularly priced at $85. Salma bought it on sale for 35% off the regular price.
Answer:
55.25
Step-by-step explanation:
85 X 0.35 = 29.75
85 - 29.75 = 55.25
Answer: 29.75
My Explanation:
85 divided by 10 = 8.5 (10%)
8.5 x 4 = 34.0 (40%)
8.5 divided by 2 = 4.25 (5%)
34 - 4.25 = 29.75 (35!)
Hope this helped!
1.Jose is solving an equation 4(x-2) = 18. The first step to solving is 4x -8 = 18. What would the
next step be?
PLS HELP THANK YOU
Answer: x = 13/2
Step-by-step explanation:
Distribute: 4(x - 2) = 18
4x - 8 = 18
Add 8 to both sides
4x - 8 + 8 = 18 + 8
Simplify:
4x = 26
Divide both sides of the equation by the same term
4x = 26
4x/4 and 26/4
Cancel term that are both in the numerator and denominator
Divide the numbers
X = 13/2
Marie donated 40% of her comic books to a school. If se donated 14p comic books how may did she own before her donation
Answer:
Before her donation, Marie owned 35 comic books.
Step-by-step explanation:
Marie donated 40% of her comic books to a school, that is, Marie donated 40 comic books per 100 comic books she owned. We can write it as a ratio: the ratio of donated comic books to total comic books is 100:40. If she donated 14 comic books, the number of comic books she owned before her donation were:
14 donated cb × (100 total cb/40 donated cb) = 35 total cb
Are the statements true or false?
Select True or False for each statement.
Statement True False
1/ 4 · 3/ 4 = 3 /4 · 1/ 4
3/4÷2/5=2/5÷3/4
false false false false false
Answer:
no the first on is true and the last one is false
Step-by-step explanation:
The equation Y + 6 =1/3(x-9)
is written in point-slope form. What is the equation written in slope-intercept form?
Step-by-step explanation:
y+6 = (1/3)(x -9)
y+6 = x/3 - 9/3
y=x/3 -3 -6
y = x/3 -9
secx- cosx = sinx tanx
Answer:
See Explanation
Step-by-step explanation:
[tex] \sec \: x - cos \: x = \sin \: x \tan \: x \\ \\ LHS = \sec \: x - cos \: x \\ \\ = \frac{1}{ \cos x} - cos \: x \\ \\ = \frac{1 - { \cos x}^{2} }{ \cos x} \\ \\ = \frac{ { \sin x}^{2} }{ \cos x} \\ \\ = \frac{ \sin \: x \times \sin x}{ \cos x} \\ \\ = \sin x \: tan x \\ \\ = RHS \\ \\ thus \: proved \\ [/tex]
Taking an Uber ride in NYC has an initial fee of $2.55 with an additional charge of $1.75 per mile (we will ignore the small per minute waiting fee). In equation form, cost = 2.55 + 1.75(miles). a local NYC resident records the number of miles for his first 25 rides with Uber. The mean distance of his rides is 5.6 miles with a standard deviation of 1.2 miles. a) Find the mean cost of the 25 trips.
b) Calculate the standard deviation of the cost of the 25 trips.
Answer:
a) The mean cost of the 25 trips is:
$12.35.
b) The standard deviation of the cost of the 25 trips is:
$52.50
Step-by-step explanation:
a) Data and Calculations:
Initial fee (fixed) = $2.55
Variable (additional) charge = $1.75 per mile
Equation = 2.55 + 1.75(miles)
Trips = 25
Mean distance for first 25 rides = 5.6 miles
Standard deviation = 1.2 miles
Mean cost of the 25 trips = 2.55 + 1.75 (5.6) = $12.35
Total cost = $308.75 (25 * 12.35) based on mean cost
Standard deviation of the cost of the 25 trips:
Total standard deviation for the 25 trips = 30 miles (1.2 * 25)
= $52.50 (1.2 * 25 * $1.75)
Which of the following graphs represents a function ?
Answer:
It is C, in my opinion. Have a nice day. :)
Step-by-step explanation:
Last year, Ron underestimated the number of notebooks he would need. So this year. Ron bought 310 notebooks, and had 60 more than he needed. Fill in the table for this year's values.
Options for A:250 310 330
Options for B:250 310 330
Options for C:40 60 330
Options for E:19% 24% 81%
i did D already
someone please help!
Answer:
a =
✔ 310
b =
✔ 250
c =
✔ 60
d =
✔ 60/250
e =
✔ 24%
Step-by-step explanation:
Can someone help me with this question
Answer:
[tex]\frac{2}{3} x + \frac{1}{3} - \frac{1}{3} x = \frac{1}{3} ( x - 1)\\\\ \\\frac{4}{3}x - \frac{4}{3} - \frac{2}{3} = \frac{4}{3} ( x - 1)\\\\( \frac{1}{3} x + \frac{2}{3} ) + ( -\frac{2}{3}x - \frac{4}{3}) = -\frac{1}{3} ( x + 2)\\\\(\frac{2}{3}x + \frac{1}{3} ) + (\frac{2}{3} x - \frac{2}{3} ) = \frac{1}{3} ( 4x - 1 )[/tex]
Step-by-step explanation:
Simplify each equation by combining like terms, and then factoring
[tex]\frac{2}{3} x + \frac{1}{3} - \frac{1}{3} x[/tex]
= [tex]\frac{1}{3} x + \frac{1}{3}[/tex]
= [tex]\frac{1}{3}[/tex] ( x + 1)
[tex]\frac{4}{3}x - \frac{4}{3} - \frac{2}{3}[/tex]
= [tex]\frac{4}{3}x - \frac{6}{3}[/tex]
= [tex]\frac{4}{3}[/tex] ( x - 1 )
[tex]\ ( \frac{1}{3} x + \frac{2}{3} ) + ( -\frac{2}{3}x - \frac{4}{3})[/tex]
=[tex]-\frac{1}{3}x - \frac{2}{3}[/tex]
=[tex]- \frac{1}{3} x[/tex] ( x + 2)
[tex]\ (\frac{2}{3}x + \frac{1}{3} ) + (\frac{2}{3} x - \frac{2}{3} )[/tex]
= [tex]\ \frac{4}{3}x - \frac{1}{3}[/tex]
= [tex]\(\frac{1}{3}[/tex] ( 4x - 1)
Answer:
Step-by-step explanation:
[tex]1)\frac{2}{3}x + \frac{1}{3}-\frac{1}{3}x = \frac{2}{3}x-\frac{1}{3}x +\frac{1}{3}\\\\\\=\frac{(2-1)}{3}x+\frac{1}{3}\\\\\\=\frac{1}{3}x+\frac{1}{3}\\\\\\=\frac{1}{3}(x+1)[/tex]
[tex]2) \frac{4}{3}x-\frac{2}{3}-\frac{2}{3}=\frac{4}{3}x + \frac{(-2-2)}{3}\\\\\\[/tex]
[tex]=\frac{4}{3}x -\frac{4}{3}\\\\\\=\frac{4}{3}(x-1)[/tex]
[tex]3) (\frac{1}{3}x+\frac{2}{3})+(\frac{-2}{3}x-\frac{4}{3})=\frac{1}{3}x-\frac{2}{3}x+\frac{2}{3}-\frac{4}{3}[/tex]
[tex]= \frac{-1}{3}x-\frac{2}{3}\\\\\\=\frac{-1}{3}(x+2)\\[/tex]
4) [tex](\frac{2}{3}x +\frac{1}{3})+(\frac{2}{3}x-\frac{2}{3})=\frac{2}{3}x+\frac{2}{3}x+\frac{1}{3}-\frac{2}{3}[/tex]
[tex]=\frac{4}{3}x-\frac{1}{3}\\\\\\=\frac{1}{3}(4x-1)[/tex]
Oak Grove and Salem are 78 km from
each other. How far apart would the cities
be on a map that has a scale of 1 cm: 13
km?
Answer:
690 km will take it.for good condition
Step-by-step explanation:
mark me BRAINLIEST
In 2001, a school population was 1696. By 2007 the population had grown to 2614.
1) How much did the population grow between the year 2001 and 2007?
students
2) How long did it take the population to grow from 1696 students to 2614 students?
years
3) What is the average population growth per year?
students/year
4) What was the population in the year 2000?
students
5) Find an equation for the population,
P
, of the school
t
years after 2000.
P
=
6) Using your equation, predict the population of the school in 2011.
students
Answer:
grew by 6
Step-by-step explanation:
What is the percentage of change from 400 to 300?
Answer:
25%
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
400*.25=100
400-100=300
Hope this helps!!
The measure of angle B in a triangle is 4 more than twice the measure of angle A. The measure of angle C is 30 less than 3 times the measure of angle A. Find the measure of each angle.
Answer:
[tex]A = 34\frac{1}{3}[/tex]
[tex]B = 72\frac{2}{3}[/tex]
[tex]C = 73[/tex]
Step-by-step explanation:
Given
Shape: Triangle
[tex]B = 4 + 2A[/tex]
[tex]C = 3A - 30[/tex]
Required
Solve for A, B and C
Since the shape is a triangle,
[tex]A + B +C = 180[/tex]
Substitute [tex]B = 4 + 2A[/tex] and [tex]C = 3A - 30[/tex] in [tex]A + B +C = 180[/tex]
[tex]A + 4 + 2A + 3A - 30 = 180[/tex]
Collect Like Terms
[tex]A + 2A + 3A = 180 + 30 - 4[/tex]
[tex]6A = 206[/tex]
Solve for A
[tex]A = 206/6[/tex]
[tex]A = 34\frac{1}{3}[/tex]
Substitute [tex]A = 34\frac{1}{3}[/tex] in [tex]B = 4 + 2A[/tex]
[tex]B = 4 + 2 * 34\frac{1}{3}[/tex]
[tex]B = 4 + 2 * \frac{103}{3}[/tex]
[tex]B = 4 + \frac{206}{3}[/tex]
[tex]B = \frac{12 + 206}{3}[/tex]
[tex]B = \frac{218}{3}[/tex]
[tex]B = 72\frac{2}{3}[/tex]
Substitute [tex]A = 34\frac{1}{3}[/tex] in [tex]C = 3A - 30[/tex]
[tex]C = 3 * 34\frac{1}{3} - 30[/tex]
[tex]C = 3 * \frac{103}{3} - 30[/tex]
[tex]C = 103 - 30[/tex]
[tex]C = 73[/tex]
