[tex]y=mx+b[/tex]
First, we find the slope.
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\m=\frac{3-1}{4+6} \\m=\frac{2}{10}\\m=\frac{1}{5}[/tex]
Second, we know the slope. Substitute any ordered pairs that are given in the equation.
[tex]y=mx+b\\y=\frac{1}{5}x+b\\[/tex]
I'll use the ordered pairs (4,3) as I substitute x = 4 and y = 3.
[tex]3=\frac{1}{5}(4)+b\\3=\frac{4}{5}+b\\15=4+5b\\15-4=5b\\11=5b\\\frac{11}{5}=b[/tex]
Therefore, the equation is [tex]y=\frac{1}{5}x+\frac{11}{5}[/tex]
Why is this the answer can u show work please
Giving extra points
A large container for water weighs 21 pounds. If a gallon of water weighs 8.34 pounds, what is an equation that relates the weight of the
water and the container, W. in pounds and the amount of water, A, in gallons? (1 point)
W
Answer:
The equation that relates the weight of the water and the container in pounds and the amount of water in gallons is [tex]A = \frac{W}{8.34}[/tex].
Step-by-step explanation:
From Physics we understand that conversions are represented by the following linear equation:
[tex]u' = r\cdot u[/tex] (1)
Where:
[tex]u[/tex] - Original value, measured in original unit. (pounds)
[tex]r[/tex] - Conversion value, measured in final unit per original unit. (gallons per pound)
[tex]u'[/tex] - Final value, measured in final unit. (gallons)
If we know that [tex]u' = A[/tex], [tex]u = W[/tex] and [tex]r = \frac{1}{8.34} \,\frac{gal}{lbm}[/tex], then the equation is:
[tex]A = \frac{W}{8.34}[/tex]
The equation that relates the weight of the water and the container in pounds and the amount of water in gallons is [tex]A = \frac{W}{8.34}[/tex].
A six sided cube is rolled. What is the probability of getting a 3 and then a 4, givrn the first number rolled was 3.
Answer:
1/6
Step-by-step explanation:
Use conditional probability:
P(A given B) = P(A and B) / P(B)
P(4 given 3) = P(4 and 3) / P(3)
P(4 given 3) = (1/36) / (1/6)
P(4 given 3) = 1/6
(please answer)
If f(x) = (x + 3) - 2, which of the following is the value of f(-3)?
Answer:
f(3)= 4
Step-by-step explanation:
x= -3=0
x= 3
f(3)=(3+3)-2
f(3)= 6-2
f(3)= 4
Please help it’s due
1 = 70
2 = 20
3 = 70
4 = 20
5 =110
rewrite the function f(x)=-3(x+3)^2-13
in the form f(x)=ax^2+bx+c
Answer:
-3x^2-18x-40
Step-by-step explanation:
(x+3)^2: x^2+6x+9
= -3(x^2+6x+9)-13
Expand:
-3(x^2+6x+9): -3x^2-18x-27
= -3x^2-18x-27-13
Final Answer: -3x^2-18x-40
Answer:
-3x^2-18x-40
Step-by-step explanation:
-3(x+3)^2-13
-3(x^2+6x+9)-13
-3x^2-18x-27-13
-3x^2-18x-40
What is the standard form of y –7 = – 23 (x + 1)
Answer:
23x+y=-16
Step-by-step explanation:
Help ASAP ASAP number 6
valor de x de (5x-20) 85
What is the volume for 14 8 10 10 10 8?
Answer:
I believe volume is three dimensions. And thus three terms, so I don't believe you have the right setup. Or you need to clarify something somewhere.
Step-by-step explanation:
Suppose you deposit $600 in a bank account with a simple interest rate of 2.5%. You want to keep
your deposit in the bank long enough to earn at least $120 in interest. How long should you keep your
deposit in the bank?
To earn at least $120 interest, you should keep your deposit in the bank for year(s).
Answer:120/2.5%
Step-by-step explanation:
Simplify: –6(2x – 5)
–12x – 30
–12x + 30
12x – 30
12x + 30
Answer: -12x + 30
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation:
-6(2x-5)
-6(2x+5)
-6(2x) + 6(5)
-12x +30
I really need help on this one too please!
Answer:
53 degrees
Step-by-step explanation:
a complementary angle is 90 degrees and it's split, if one is 47 degrees, you do 90-47 which equals 53
What is the solution to the equation 23(y−6)=−(y+2)+1 2 3 ( y - 6 ) = - ( y + 2 ) + 1 ?
Answer:
Substitute the given value into the function and evaluate.
23 (y − 6) = −(y + 2) + 1 = y = 137/24
2 = y = 137/24
3 = y = 137/24
y − 6 = −(y + 2) + 1 = y = 5/2
find the lowest degree polynomial that has vertical asymptotes at x=2,3 goes through the points (-2,0), and (-3,0) and has a horizontal tangent at y=2
Answer:
is there multiple choices
If f(x) and g(x) are quadratic functions but (f + g)(x) produces the graph below, which statement must be true?
Answer:
That the graph of (f+g)(x) is a parent graph of f(x) and g(x)
Answer:
A. The leading coefficients of f(x) and g(x) are opposite
Step-by-step explanation:
Andrea has 8 books on her summer reading list . She has read 5 out of the 8 books.what percent does she have left to read! Pls help ASAP!!
Answer:
3 percent because 8-5=3
Step-by-step explanation:
Answer:
37.5%
Step-by-step explanation:
What is the value of x?
Answer:
I believe it is x+3..
Step-by-step explanation:
Answer:
x = 5
which agrees with the first answer option listed
Step-by-step explanation:
Use the proportionality associated with similar triangles, considering that the larger triangle has sides:
x + (x+5) = 2 x + 5
and
(x+1) + (x-2) = 2 x - 1
and the smaller triangle:
x and (x-2)
The we build the following proportionality:
(2 x + 5) / x = (2 x - 1) / (x - 2)
cross multiply to eliminate denominators:
(2 x + 5) (x - 2) = x (2 x - 1)
operate:
2 x^2 - 4 x + 5 x -10 = 2 x^2 - x
combine like terms:
2 x^2 + x -10 = 2 x^2 - x
subtract 2 x^2 from both sides:
x - 10 = - x
add x to both sides:
2 x -10 = 0
add 10 to both sides
2 x= 10
divide both sides by 2:
x = 5
which agrees with the first answer option listed
Find two positive integers such that their sum is 10, and minimize and maximize the sum of their squares.
Two numbers whose sum is 10 is required.
The answer is
Minimum: 5, 5
Maximum: 9, 1
Let [tex]x[/tex] and [tex]y[/tex] be two numbers
[tex]x+y=10\\\Rightarrow y=10-x[/tex]
The sum of the squares would be
[tex]x^2+y^2=x^2+(10-x)^2\\ =2x^2-20x+100[/tex]
[tex]f(x)=2x^2-20x+100[/tex]
Differentiating with respect with x
[tex]f'(x)=4x-20[/tex]
Equating with zero
[tex]4x-20=0\\\Rightarrow x=\dfrac{20}{4}\\\Rightarrow x=5[/tex]
Double derivative of f(x)
[tex]f''(x)=4[/tex]
[tex]f''(x)>0[/tex]
So, at [tex]x = 5[/tex] the value of the function is minimum.
Therefore, at [tex]x=5[/tex] and [tex]y=10-5=5[/tex] the function has minimum value of [tex]5^2+5^2=50[/tex]
For the finding the maximum values of [tex]x[/tex] and [tex]y[/tex] we have to use trial and error method
[tex]9^2+1^2=82[/tex]
[tex]8^2+2^2=68[/tex]
[tex]7^2+3^2=58[/tex]
[tex]6^2+4^2=52[/tex]
0 and 10 will not be considered as 0 is neither positive nor negative.
So, the maximum value of the numbers is 9 and 1 and the maximum value of the function is 82.
Learn more:
https://brainly.com/question/1625850?referrer=searchResults
I WILL MARK BRAINIEST
Answer:
m<4= 60
m<1=60
m<3=30
Step-by-step explanation:
I'd like to explain but I would be very difficult to do with out being in person
Answer:
m1 = 60°
m2 = 90°
m3 = 30°
m4 = 60°
Step-by-step explanation:
m<5 + m<4 = 180° ( on a straight line)
120° + m<4 = 180°
m<4 = 60°
m<2 = m<3 + m<4
90° = m<3 + 60° ( on a straight line)
m<3 = 90° - 60°
m<3 = 30°
m<1 + m<2 + m<3 = 180°
m<1 = 180 - 90 -30
m<1 = 60°
someone please help me i am so bad with point slope stuff
Write the equation of the line that passes through the points (2,−6) and (6,-6).
Write the equation of the line that passes through the points (9,8)and (6,3).
Write the equation of the line that passes through the points (-9,-4) and (-9,-4).
What is the equation of the line that passes through the point (−8,5) and has a slope of 0?
What is the slope of the line that passes through the points (-2, 7)and (2, -5).
What is the slope of the line that passes through the points (6, -5)and (6, -8).
Answer:
1.) y = -6
2.) y = 5/3x - 7
3.) y = 5
4.) y = -3x + 1
5.) x = -3
Step-by-step explanation:
So the equation you want to use is this: [tex]\frac{y2-y1}{x2-x1}[/tex]
1.) Plug in
[tex]\frac{-6 - (-6)}{6 - 2} \\\\\frac{0}{4} = 0\\[/tex]
This line is zero slope to find the y-intercept get one of you points and plug them and the slope into this equation y = mx+ b. We will use (2,-6)
-6 = 0(2) + b (b represents y-intercept) (0*2=0)
-6 = b
So the equation is y = -6
2.) Do the same thing.
[tex]\frac{3-8}{6-9} \\\\\frac{-5}{-3} =\frac{5}{3}[/tex]
It's positive because when you divide a negative by a negative you get a positive. Plug in a point (6, 3) y = mx + b (b represents y-intercept)
3 = 5/3(6) + b (5/3*6 = 10)
3 = 10 + b (subtract 10 on both sides)
-7 = b
y = 5/3x - 7
3.) For this one you are just going to point slope form. y - y1 = m(x - x1)
Plug in
y - 5 = 0(x - (-8))
y - 5 = 0 (add 5 to both sides)
y = 5
4.) Do [tex]\frac{y2 - y1}{x2 - x1}[/tex] for this one
Plug in
[tex]\frac{-5 - 7}{2 - (-2)} \\\\\frac{-12}{4} = -3[/tex]
So the slope is -3. Plug into y = mx + b with the point (2, -5)
-5 = -3(2) + b (b represents y-intercept)
-5 = -6 + b (add 6 to both sides)
1 = b
The equation is y = -3x + 1
5.) Do the same thing as #4
[tex]\frac{-8 - (-5)}{6 - 6} \\\\\frac{-3}{0}[/tex]
This slope is undefined
Since you can't divide by 0 the equation would be
x = -3
Hope this helps ya!!
Brooke already owns 4 necklaces, and additional necklaces are priced at 2 for a dollar. With $2 to spend on new necklaces, how many total necklaces can Brooke own? Write and solve an equation to find the answer.
4+1+1=6
Step-by-step explanation:
she already has 4 necklaces so than she got 2 for a dollar so that equals 6.
if you answer correctly ill give brainliest
Basketball shoes are on sale for 22% off. What is the regular price if the sale price is $42?
Answer:
x =53.85
Step-by-step explanation:
Let x be the original price
If the price is 22% of, you will pay 100% -22% = 78%
x * 78% = 42
Change to decimal form
.78x = 42
Divide each side by .78
.78x/.78 = 42/.78
Rounding to the nearest cent
x =53.85
a spring stretches to 18 cm with a 70 g weight attachment to the end. with a 100 g attached, it stretches to 24 cm . which equation models the distance y the spring stretches with weight x attached to it?
Answer:
Yes it is y=1/5x+4
Step-by-step explanation:
Pls help i dont get i t
The store is selling 6 oranges for $ 1.80. How much will it cost to buy 16 orange .Show work .
Answer:
$4.80
Step-by-step explanation:
6 oranges for 1.80
sp 6 divided by 1.80 comes out to 0.3 per orange
0.3 times 16 comes out to 4.80
therefor $4.80
Answer:
$4.80
Step-by-step explanation:
1.80/6=0.3
0.3=$0.30 for each orange
16×0.3=4.8
4.8=$4.80 for 16 oranges
If the price of the early bird session is 2x - 3 and the price of the mid-morning session is 5x + 6, find an expression that represents difference in the price between the mid-morning session and the early bird session?
solve 7x -2 + 10x + x + 6x
Let's simplify step-by-step.
7x−2+10x+x+6x
=7x+−2+10x+x+6x
Combine Like Terms:
=7x+−2+10x+x+6x
=(7x+10x+x+6x)+(−2)
=24x+−2
Answer:
=24x−2 <----
Answer:
probably 24x-2
Step-by-step explanation:
combine like terms
Function and Linear question look at the image
I will give brainliest if correct
5. Veronika works at Future Shop and earns $10.50/h plus 6% commission on sales. Last week Veronika worked 40
hours. What was Veronika's weekly gross salary if her total sales were $2050?