Answer:
(a) y intercept is approximately 4.3
(b) [tex]y = 1.5x+4.5[/tex]
Step-by-step explanation:
Given
See attachment for graph
Solving (a) The y intercept
This is the point where [tex]x =0[/tex]
From the attached graph; By observation
[tex]y \approx 4.3[/tex] when [tex]x =0[/tex]
So, the y intercept is approximately 4.3
Solving (b): The equation of best fit.
First, calculate the slope of the line using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (9,18)[/tex]
[tex](x_2,y_2) = (8,16.5)[/tex]
So:
[tex]m = \frac{16.5- 18}{8 - 9}[/tex]
[tex]m = \frac{-1.5}{- 1}[/tex]
[tex]m = 1.5[/tex]
The equation is then calculated using:
[tex]y =m(x - x_1) + y_1[/tex]
Where: [tex]m = 1.5[/tex] and [tex](x_1,y_1) = (9,18)[/tex]
[tex]y = 1.5(x - 9) + 18[/tex]
[tex]y = 1.5x - 9*1.5 + 18[/tex]
[tex]y = 1.5x - 13.5 + 18[/tex]
[tex]y = 1.5x+4.5[/tex]
x = _
•2
•6
•3.75
Thank you!
Answer:
so is the value of six times 1
Step-by-step explanation:
Theo is using the Quadratic Formula to solve a quadratic equation. Which of the following is the next step for simplifying
x=−4±4√6/2
Answer: look at the picture
Step-by-step explanation:
Removing the denominator by dividing both the numerator's terms by 2 is the needed next step for simplification. The result is: x=−2±2√6
How to find the solution to a standard quadratic equation?Suppose the given quadratic equation is
[tex]ax^2 + bx + c = 0[/tex]
Then its solutions are given as
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
Here, we're given the expression:
[tex]x = \dfrac{-4 \pm 4\sqrt{6}}{2}[/tex]
The next step to simplify is to make it look more simple.
[tex]x = \dfrac{-4}{2} \pm \dfrac{4\sqrt{6}}{2}\\\\x = -2 \pm 2\sqrt{6}[/tex]
Thus, removing the denominator by dividing both the numerator's terms by 2 is the needed next step for simplification. The result is: x=−2±2√6
Learn more about quadratic equations here:
https://brainly.com/question/3358603
Find the measure of 44.
{
44
158°
K
*4 = [?]
<4=22°
Answer:
<4+158=180 co interior angle
<4=180-158=22°
Answer:
solution given:
<4+<158°=180°[co- interior angle]
<4=180°-<158°=22°
<4=22° is your answer
Find the common ratio of the geometric sequence 7,63,567, ...
Answer:
Step-by-step explanation:
Answer: 9
Step-by-step explanation: a, ar, ar^2... a=7, ar=63. solving with substitution gives the common ratio of 9!
Is (4, 3) a solution to the inequality 7x + 5y = 15?
yes
no
Answer:
no
Step-by-step explanation:
7x+5y=15
(x,y)
(4,3)
put in 4 for x and 3 for y
7(4)+5(3)=15
43=15
This equation is impossible
Hope that helps :0
Step-by-step explanation:
7x+5y=15 (x=4,y=3)
7(4)+5(3)=15
28+15=15
43>15
they are no equal
follow me
1/2 of a number y is more than 22
Answer:
1/2y > 22
Step-by-step explanation:
I think that's what you were asking, but I'm not sure
So the is more than tells you that you're going to use the greater than sign. and 1/2 of y is 1/2y because of means mulitiplication
hope this helps:)
Answer:
1/2y > 22
Step-by-step explanation:
Write an equation for the number y:
1/2 of y is more than 22
1/2 * y is more than 22 ('of' equals multiply)
1/2y = more than 22 ('is' equals a equal sign)
1/2y > 22 ('more' is greater than and not greater than and equal since it doesn't state anything that it could acctually be equal to)
1/2y > 22
(You can solve for y if you need to find the value of the number)
A snack recipe calls for 5 3/4 cups of cereal and 3 5/12 cups less of raisins. How many total cups of snack mix does the recipe make? Write in simplest form.
Answer:
10 1/12 cups
Step-by-step explanation:
Ok, so since we know that the recipe calls for 5 3/4 cups of cereal we can go ahead and say it's at least that much.
Then we have where it says there are 3 5/12 less cups of raisins we need to subtract this from 5 3/4 cups and we get 2 4/12 of raisins.
Final equation: 5 3/4+2 4/12= 10 1/12 cups
Hope this helps!!
110 calories
5 gummy bears
What is the unit rate per gummy bear?
Answer:
348.7 Calories (per 100 g)Step-by-step explanation:
Answer:
it is 22 because if you divide 110 ÷ 5=22
Solve each equation by taking square roots NEED THIS ASAO WILL GIVE BRAINLIEST
Brianna has a 50$ online gift certificate from a book store. The cost of each book is $9. There is also a shipping charge of 5$ for her entire order. How many books can Brianna buy without spending more than her gift certificate amount?
Answer:
5
Step-by-step explanation:
9x+5=50
9x=45
x=5
Brianna can buy up to 5 books without spending more than her gift certificate amount.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
If each book costs $9 and Brianna has a $50 gift certificate, we can start by dividing the total amount she can spend by the cost of each book.
$50 gift certificate / $9 per book = 5.55 books
Since Brianna cannot buy a fractional part of a book, she can only purchase a whole number of books.
Therefore, the maximum number of books she can buy without spending more than her gift certificate amount is 5 books.
Additionally, there is a $5 shipping charge for the entire order, so Brianna should make sure to factor this into her budget.
If Brianna buys 5 books at $9 each, the total cost of the books will be $45. Adding the $5 shipping charge brings the total to $50, which is the exact amount of her gift certificate.
Therefore, Brianna can buy up to 5 books without spending more than her gift certificate amount.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
B
7
25
с
24
А
Find sin(a) in the triangle.
Answer: 7/25
Step-by-step explanation:
got it correct on khan academy
which of the following best describes a cylinder?
Answer:
The answer is C because a cylinder has a set of two parallel lines
Please help me if not that’s fine no links!
Answer:
30°
Step-by-step explanation:
53°+97°+x = 180°
The sum of three angles must equal 180°
Solve the equation.
150°+x = 180°
x = 180°-150°
x = 30°
Therefore, x = 30°
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!1111 I REALLY NEED HELP I A, BEGGIN YOU GUYS!!!!!!!!!!!!!!!!!!!!!!!!!!! ILL GIVE BRAINLIEST AND EXTRA POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
4y - 2(5 - y + 4) = 4y - 2(9 - y)
= 4y + 9*(-2) - y *(-2)
= 4y - 18 + 2y {Combine like terms 4y and 2y}
= 6y - 18
6y - 18 = 6*y - 6*3
= 6(y - 3)
6y- 18 = 2 *3y - 2*9
= 2(3y -9)
2(3y - 9) and 6(y- 3 ) are equivalent to 4y - 2(5- y +4)
Others are not equivalent
Brainliest for correct answer
Help fast it’s for a test I do t wanna fail!!
Answer:
it is decreasing by 1/2 half every number to get the next answer is 6
Step-by-step explanation:
A wheel with radius 1 foot makes 1 revolution in 4 seconds. What is the linear velocity, in feet per second, of a point on the edge of the wheel? 4π 8π
Answer:
[tex]v=\dfrac{\pi}{2}\ ft/s[/tex]
Step-by-step explanation:
Given that,
A wheel with radius 1 foot makes 1 revolution in 4 seconds
We need to find the linera velocity of a point on the edge of the wheel. We know that, the linear velcity is given by :
[tex]v=r\omega[/tex]
Where
[tex]\omega[/tex] is angular velcocity,[tex]\omega=2\pi\ rad[/tex]
[tex]\omega=\dfrac{1}{4}\times 2\pi\\\\=0.5\pi\ rad/s[/tex]
So
[tex]v=1\times 0.5\pi\\\\v=\dfrac{\pi}{2}\ ft/s[/tex]
So, the linear velocity of the wheel is equal to [tex]\dfrac{\pi}{2}\ ft/s[/tex].
Answer:
pi/2
B
Step-by-step explanation:
Got it right on EG
Helpppppppppppppooopp
Answer:
I can't see clearly
Step-by-step explanation:
A machine is shut down for repairs if a random sample of 100 items selected from the daily output of the machine reveals at least 15% defectives. (Assume that the daily output is a large number of items.) Suppose that a random sample of 20 items is selected from the machine. If the machine produces 5% defectives, find the probability that the sample will contain at least three defectives, by using the following methods.
a. The normal approximation to the binomial
b. The exact binomial tables
my brain can't process this lol
someon help me answer this!!
Answer:
12.0 units is the answer
Step-by-step explanation:
Pythagorean theorem can be written as,
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(6-(-2))^2 + (1-(-8))^2}\\\\d=\sqrt{(8\\)^2+(9)^2} \\\\d=\sqrt{64+81} \\\\d=\sqrt{145} \\\\d=12.041...[/tex]
Rounding off,
d = 12.0 units
I need the area can someone help meeee pls?
Answer:
54ft
Step-by-step explanation:
9ft x 6ft
multiply polynomials (x+4)(x+5)
Answer:
[tex]x^{2} +9x+20[/tex]
Step-by-step explanation:
A y = 3x + 2
C y=-3x + 2
B y = 3x + 2
D y = - 3 x + 1/2
for a minute i thought it was c. y = -3x + 2.
1.
Which equation has a solution of 8?
A = 16
C 8
B =
r
8
B 4r = 16
D-2r= -16
Answer:
it's x + 2 = 10 ,x - 4 = 4 , 3 x =24 and x over 8 = 1
Step-by-step explanation:
I guess that's the right answer
Question 2
Points 3
The length of the rectangle is (x + 4) and width of the rectangle is (5 - X). Find the perimeter of the rectangle.
Answer:
Step-by-step explanation:
hello :
the perimeter of the rectangle is P=2(w+l)
l : The length and w the width ..... continu calculate
HELPPP!!!
John is packing a box that is shaped like a cube and
has an edge that is 15 centimeters long. How much
space is available in the box for John to pack?
Answer:
810
Step-by-step explanation:
multiply them.
Your welcome,
The radius of a circle is 28 centimeters. Which measurement is closest to the circumference of the circle in centimeters?
Answer:
Solution in photo
Solve for x 103 (3x+4)
how do you find how many pounds he used, and how many pounds did he use?
Answer:
I'm not too sure what you are referring too and I can't clearly see the image but I'll give you some tips!
One way to find out how many pounds he used is to add all the pounds you know he used (what is written down) or to multiply, divide, whatever is best for the situation
so yeah hope this helped!
Can anybody explain how to solve this? Ur girl is kinda in a crisis rn...
Answer:
Slope= 1/2
y-intercept= -1
Step-by-step explanation:
So the formula that the equation is following is y=mx+b.
M stands for slope and b is the y-intercept.