What is the y-intercept of the line?
What is the slope of the line?
Write an equation for the line
Answers
slope is 5/2 or 2.5
equation is: y = 2.5x -2
Related Questions
4r + 6r - 13 = 7r + 5
Answers
Answer:
r = 6
Step-by-step explanation:
4r + 6r - 13 = 7r + 5
10r - 13 = 7r + 5
10r - 7r = 13 + 5
3r = 18
r = 6
hi there! here's my answer for you...
Answer:
r = 6
Step-by-step explanation:
4r + 6r - 13 = 7r + 5
10r - 13 = 7r + 5
10r - 13 + 13 = 7r + 5 + 13
10r = 7r + 18
10r - 7r = 7r + 18 - 7r
3r = 18
3r/3 = 18/3
r = 6
hope this helped. have a good one!
PLEASE HELP
At Bulk candy, gummy bears cost $5 for 7 ounces. You LOVE gummy bears. You fill up the bag and the
weight comes in at 24.5 ounces. How much do you owe? (no tax)
Answers
Answer:
17.50
Step-by-step explanation:
7*3 is 21 and 7/2 is 3.7 so its 5*3 (15) plus 2.50, so 17.50
Hope this helped!
Tova has 17 marbles. The types of marbles she has are aggies, comets, and cats eyes. She has twictas many aggies as comets. She has 1 more cats eye than comets. She has 8 aggies. How many cats eyes does tova have?
Answers
Answer:
Tova has 5 cat's eyes.
Step-by-step explanation:
Use simple math to figure out the amounts. If she had twice as many aggies as comets, and the amount of aggies is 8, she had 4 comets. She had one more cat eye than comets. That means that she had 5 cat's eyes.
Answer: Tova has 5 cat's eyes.
Given y = sin(2x - π) + 1, find the (a) derivative, (b) equation of the tangent line at x = π/2, (c) equation of the normal line at x = π/2.
Answers
Answer:
(a) [tex]y'= 2cos(2x - \pi)[/tex]
(b) [tex]y=2x - \pi + 1[/tex]
(c) [tex]y=-\frac{x}{2} +\frac{\pi + 4}{4}[/tex]
Step-by-step explanation:
[tex]y=sin(2x-\pi)+1[/tex]
Part (a)Find the derivative of this function by using the chain rule and the power rule.
We know that the derivative of sinx = cosx. Find the derivative of this entire function first, [tex]sin(2x-\pi)+1[/tex], then multiply this by the derivative of the inside function, [tex]2x-\pi[/tex].
[tex]\frac{d}{dx}(sin(2x-\pi)+1)[/tex]Use the chain rule to find the derivative of sin(2x - π) + 1, which is cos(2x - π), then multiply this by the derivative of (2x - π). The derivative of π is 0, because it is a constant. The derivative of 2x is 2 based on the Power Rule.
[tex]cos(2x-\pi) \times 2[/tex]Simplify this expression.
[tex]2cos(2x - \pi)[/tex]This is the derivative of [tex]y=sin(2x-\pi)+1[/tex]; therefore, we can write:
[tex]y'= 2cos(2x - \pi)[/tex] Part (b)In order to find the equation of the tangent line at [tex]x=\frac{\pi}{2}[/tex], we will need to find the slope of the tangent line and the x- and y- coordinates (we already know the x- cord).
The steps to finding the equation of the tangent line at a certain are:
Plug into y' to find the slope of the tangent line.Plug into y to find the (x, y) coordinates.Use point-slope to write our equation in slope-intercept form.We know that y' = 2cos(2x - π). Let's plug x = π/2 into this equation for x to find the slope of the tangent line.
[tex]y'(\frac{\pi}{2} ) = 2cos(2(\frac{\pi}{2})-\pi)[/tex]Simplify inside the parentheses.
[tex]y'(\frac{\pi}{2} ) = 2cos(\frac{2\pi}{2}-\pi)[/tex] [tex]y'(\frac{\pi}{2} ) = 2cos(\pi - \pi)[/tex] [tex]y'(\frac{\pi}{2} ) = 2cos(0)[/tex] [tex]y'(\frac{\pi}{2} ) = 2[/tex]Now we know that the slope of the tangent line is 2.
Let's plug x = π/2 into the original function, y.
[tex]y(\frac{\pi}{2})=sin(2(\frac{\pi}{2})-\pi)+1[/tex]Simplify inside the parentheses.
[tex]y(\frac{\pi}{2})=sin(0)+1[/tex] [tex]y(\frac{\pi}{2})= 0+1[/tex] [tex]y(\frac{\pi}{2})=1[/tex]This tells us that the y-value, when x = π/2, equals 1. Our coordinates that we can use are (π/2, 1).
Now we can use point-slope form to write an equation for the tangent line to y at x = π/2.
Point-slope equation:
[tex]y-y_1=m(x-x_1)[/tex]We have [tex](x_1, \ y_1)[/tex], which are the x- and y- coordinates, and [tex]m[/tex], which is the slope of the tangent line.
Substitute these values into the equation:
[tex]y-(1)=2(x-(\frac{\pi}{2}))[/tex]Distribute 2 inside the parentheses.
[tex]y-1=2x-\frac{2 \pi}{2}[/tex]Add 1 to both sides of the equation.
[tex]y=2x-\frac{2\pi}{2} + 1[/tex] [tex]y=2x - \pi + 1[/tex]This is the equation of the tangent line of [tex]y=sin(2x-\pi)+1[/tex] at [tex]x=\frac{\pi}{2}[/tex].
Part (c)In order to find the equation of the normal line at x = π/2, we can use the information that the tangent line is perpendicular to the normal line.
This information is helpful because this means that their slopes are opposite reciprocals.
Let's use the point-slope equation again, but instead of m = 2, m will be the opposite reciprocal of 2 ⇒ -1/2. We will still use the same coordinate points.
[tex]m=-\frac{1}{2} \ \ \ \ \ \ (\frac{\pi}{2}, \ 1)[/tex] [tex]y-(1) = -\frac{1}{2}(x - (\frac{\pi}{2} ))[/tex]Distribute -1/2 inside the parentheses.
[tex]y-1=-\frac{1}{2}x + \frac{\pi}{4}[/tex]Add 1 to both sides of the equation.
[tex]y=-\frac{1}{2}x + \frac{\pi}{4}+1[/tex] [tex]y=-\frac{1}{2}x + \frac{\pi}{4} + \frac{4}{4}[/tex] [tex]y=-\frac{1}{2}x + \frac{\pi+4}{4}[/tex]You can leave it written as this, or write it as:
[tex]y=-\frac{x}{2} +\frac{\pi + 4}{4}[/tex]This is the equation of the normal line of [tex]y=sin(2x-\pi)+1[/tex] at [tex]x=\frac{\pi}{2}[/tex].
nuevo presidente estados unidos
Answers
Answer:
Joe Biden
Step-by-step explanation:
Answer:
El presidente actual de los Estados Unidos es Joe Biden
Step-by-step explanation:
Please help me and explain.
Answers
Answer:
Step-by-step explanation:
In the set [-5, 3], only A fits in. B is pi, which has a value of 3.1415....which is outside of the interval since it's greater than 3. C. is -6 which is less than -5, so that's outside of the interval as well. D is the square root of 36 which is 6...outside of the interval again. A it is. A could be rewritten as
[tex]-\frac{1}{2^2} =-\frac{1}{4}[/tex]
What is the area of the rectangle written in simplest form
A-5/9ft
B-3/4ft
C-3ft
D-31/3ft
Answers
Answer:
ans is A
area = l*b
area=(5/6)*(4/6)=20/36=5/9
The expression 63 × 42 is equivalent to which of the following numerical expressions?
18 x 8
B.
(6 x 4) 5
C.
246
D.
216 x 16
please answer
Answers
Answer:
2646
Step-by-step explanation:
is the correct answer for This question
The required equivalent expression is (216 x 16).
The correct is D.
What is Expression?In mathematics, an expression is a phrase that has at least two numbers or variables and at least one maths operation. Addition, subtraction, multiplication, or division are all examples of maths operations. An expression's structure is as follows:
(Number/variable, Math Operator, Number/variable) is an expression.
We have the Expression as,
6³ x 4²
Now, expand the exponents as
6³
= 6 x 6 x 6
= 216
and, 4² = 4 x 4 = 16
Thus, the required equivalent expression is (216 x 16).
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ2
Given a right triangle as shown below estimate the length of the missing side to the nearest tenth of a centimeter
Answers
Answer:
C. 19.4
Step-by-step explanation:
c=a2+b2−−−−−−√
a=162+112−−−−−−−−√
c=256+121−−−−−−−−√
c=377−−−√
c=19.4165
HELP PLZ
A carnival charges $250 per ride after an entrance fee.You paid a total of $22.50 after 6 rides.Write an equation that gives the total cost a function of the number of rides.
Answers
Equation: Y= 2.5x + 7.50
Will mark brainliest!
Please explain :)
Answers
Answer:
(x - 6) ( x+ 1)
Step-by-step explanation:
W I go crazy
= (x+1)(x-6)
Explanation:
Step one, Rewrite the expression:
x^2+x-6x-6
Step two, Factor the expression:
x(x+1)-6(x+1)
= (x+1)(x-6)
A recipe calls for using ¾ cup of brown sugar for each ⅔ cup of white sugar. How many cups of brown sugar are used per cup of white sugar?
Show the rate and unit rate.
Answers
Answer:
1 1/8 cups of brown sugar is needed. The unit rate is 1 1/8 cups of brown sugar per cup of white sugar.
Step-by-step explanation
2/3 * 3/2 = 1 This is for white sugar
3/4 * 3/2 = 9/8 or 1 1/8 This is for brown sugar
ion f (x) = -2(x+8)+11
Standard form
Answers
7 1/5 ÷ 8/1 in simplest form?
Answers
Answer:
9/10 (Decimal: 0.9)
Step-by-step explanation:
7 1/5 ÷ 8 = 9/10
(Decimal: 0.9)
I need help with this, Please explain to me this.
Answers
f(t)=x
T is the number of years since 1970 and x is the amount of million of barrels produced per day in the US
f(32)=6
32 years from 1970 is 2002
X=6
Therefore, 6 million barrels were made daily in the year 2002
Answer:
Ithink b
Step-by-step explanation:
because all of them are they dissimilar to the reason
Please answer this question.... You enter a room. 2 dogs, 4 horses, 1 giraffe, and a duck are lying on the bed. 3 chickens are flying over a chair. How many legs are on the ground?
Answers
Answer:
36 legs
Step-by-step explanation:
Including the chair and yourself
Solve the inequality 8y - 3(y - 2)< 2y + 4(2y + 4) write solution in interval notation
Answers
Answer: y>-2
Step-by-step explanation:
8y-3(y-2) < 2y+4(2y+4)
8y-3y+6 < 2y+8y+16
6-16<2y+8y-8y+3y
-10<5y
y>-2
Answer:
(−∞,−2)
Step-by-step explanation:
Start by simplifying each side as much as possible by distributing and combining like terms to get
8y−3(y−2)8y−3y+65y+6>2y+4(2y+4)>2y+8y+16>10y+16
Subtract 10y from both sides to collect the variables on the left, then subtract 6 from both sides to collect all the constants on the right.
5y+65y+6−10y−5y+6−5y+6−6−5y>10y+16>10y+16−10y>16>16−6>10
Divide each side by −5 to solve for y. Since −5<0, the inequality changes direction.
−5y−5y−5y>10<10−5<−2
In interval notation, we write this as (−∞,−2).
as for $65 each and included a 60% mark
+
Answers
Answer:
revenue: $104 profit: $39
Step-by-step explanation:
Find the missing angle.
Enter the number that belongs in the green box.
Enter
Answers
Answer:
35 degrees
Step-by-step explanation:
The sum of all angles in a triangle equals to 180
To find angle z, just subtract 55 and 90 from 180
180-55-90= 35
Angle z = 35 degrees
Hope this helps
Aden invested $300 at a rate of 3%. How many years would it take to earn $18 in interest?
(a) 3 years
(b) 9 years
(c) 6 years
(d) 2 years
help <3
Answers
18 = (3*300*t)/100
18 = 9t
t = 2
2 years
Explain why 3( + 4) = 3( − 5) has no solution. Choose the best response below. I NEED THIS ASAP!!!
a. The coefficients of are the same, but the constant terms are different.
b. The coefficients of are the same, and the constant terms are same.
c. The coefficients of are different, but the constant terms are the same.
d. The coefficients of are different, and the constant terms are different.
Answers
Answer:
a. The coefficients of are the same, but the constant terms are different.
Step-by-step explanation:
it makes the most sence to me, but appoligise if I'm wrong
Based on historical data, your manager believes that 30% of the company's orders come from first-time customers. A random sample of 64 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is greater than than 0.2?
Answers
Answer:
0.9594
Step-by-step explanation:
Given that:
Sample size (n) = 64
p = 30% = 0.3 ; 1 - p = 0.7
Probability that sample proportion is greater than 0.2
Mean (m) = n*p = 64 * 0.3 = 19.2
Standard deviation (s) = √n*p*(1-p) = √(19.2*0.7)= 3.67
0.2 of 64 = 12.8
Z > [(x - m) / s]
Z > (12.8 - 19.2) / 3.67
Z > (-6.4 /3.67)
Z > - 1.7438
= 0.9594
2.06 , 2.6 , 2.9
from smallest to largest
Answers
Answer:
2.06 is smallest ans 2.9 is largest
What is -15 = x/-0.5
Solve for X
Answers
Answer:
7.5
Step-by-step explanation:
you need to get the X alone so you multiply both sides by -0.5.
that leaves you with x=7.5
pls help pls ill mark brainliest
Answers
Answer:
Area/Circumference is the length of a circle!
Step-by-step explanation:
Answer: the answer is area/ circumference
Step-by-step explanation:
Mia is babysitting and has $40 to give to the 5 kiddos for snacks at the movie theater. How much money will each of the children get for snacks?
Answers
Answer:
Each child would get $8.00.
Step-by-step explanation:
An equation to represent this would be:
40/5
When you divide 40 by 5, you get 8 which results in the children each getting $8.00
Answer:
Each kiddo will get 8 dollars each
Step-by-step explanation:
40 divided by 5 = 8
In a particular game, the probability of winning $95 is 1/36 and the probability of losing $7 is 35/36. What is the expected value after playing this game? Round to the nearest cent.
Answers
Answer:
1.53
Step-by-step explanation:
1
36
(
85
)
+
(
35
36
)
(
−
4
)
=
E
V
85
36
−
140
36
=
E
V
−
55
36
=
E
V
E
V
≈
−
$
1.53
Which transformations map the strip pattern onto itself. dp dp dp dp
Answers
Answer:
A horizontal translation and a reflection across a vertical line is the map that has a strip pattern onto itself.
Step-by-step explanation:
5(3m + 12)+8 written in word form
Answers
Use the function to solve the question. What is f(-3) ?
Answers
Answer:
-3 f
ithink
Step-by-step explanation:
We are told that x is -3. Based on the side conditions of this piecewise function, we evaluate the top portion only.
f(-3) = -1/2(-3) + 4
Take it from here.
