PLEASE HELP EXPLAIN THIS!?!
(picture below)
I have part A however idk how to work out part B how would i write the equation out???
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We find the slope by choosing two points that are on the line:
(9, 18) is easy to spot; and (2, 7) is fairly easy to spot as well. The formula for slope is:
m=y₂-y₁/x₂-x₁
m=7-18/2-9 = -11/-7 = 11/7
Slope intercept form, y=mx+b, has the slope and the y-intercept. Plugging those in we have y=11/7x+3.
y-yo = m (x-xo)
We look for the slope:
m = (y2-y1) / (x2-x1)
m = (18-15) / (9-7)
m = (3) / (2)
m = 3/2
We write the equation choosing any point:
y-15 = (3/2) (x-7)
we rewrite the equation:
y-15 = (3/2) x-10.5
y = (3/2) x-10.5 + 15
y = (3/2) x + 4.5
Then, for x = 13 we have:
y = (3/2) * (13) +4.5
y = 24
Answer:
The equation is:
y = (3/2) x + 4.5
The number of matches won for 13 months is:
y = 24
Related Questions
Find the value of x so that this quadrilateral is a parrallelogram
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Since this is a parallelogram, the 2 angles with the equations are congruent. Make them equal each other. 2x+60=4x-12. You get 72=2x. Divide by 2 on each side to get x=36. The answer is x=36.
I hope this helps!
Steph Curry makes 9 out of 10 free throws if he free throws 200 shots how many can the expect to get in
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Answer:
180 out of 200
Step-by-step explanation:
Jeremy 7 years older than Esmeralda in 3 years the sum of their ages will be 57 how old is Jeremy now
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J = Jeremy's age
E = Esmeralda's age
Next, create your equations.
J = E + 7
J + 3 + E + 3 = 57 which simplifies to J + E = 51
Now because J is defined in terms of E, substitute E as J into the second equation. E + 7 + E = 51
Next, 2E = 44
E = 22
Now, substitute the value of E into the original equation to find J. J = E + 7. J = 22 + 7. J = 29
Next check by substituting into the second equation. J + E = 51. 22 + 29 = 51.
Jeremy's age: 29
Esmeralda's: 22
if the input is 3 and the output is 13 what is the function
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f(3) = 13
52÷2 what is the answer to this math
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Brainliest? I am trying to get a higher rank!
10 POINTS
Solve the combined inequality:
6 -2x < 12 or 7 + 2x < -11
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We have then:
Inequality 1:
6 -2x <12
6-12 <2x
-6 <2x
-6/2 <x
-3 <x
Inequality 2:
7 + 2x <-11
2x <-11-7
2x <-18
x <-18/2
x <-9
Answer:
(-inf, -9) U (-3, inf)
3x+4y=-23
2y-x=-19
What is the solution (x,y) to the systems of equations above?
Answers
4y = 2x-38
Now we can substitute it for the 4y in the top equation:
3x + (2x-38) = -23 => 5x = -23+38 => 5x = 15 => x=3
Then 4y = 2*3-38 => y = -8
So the solution is (3,-8)
Final answer:
The solution to the system of equations 3x + 4y = -23 and 2y - x = -19, found using the elimination method, is (x, y) = (-61, -40).
Explanation:
To solve the system of equations 3x + 4y = -23 and 2y - x = -19, we can use the method of substitution or elimination. Let's use elimination to find the solution for (x, y).
Multiply the second equation by 2 to align the x terms: 2(2y - x) = 2(-19), which gives us 4y - 2x = -38.
Rewrite the equations to align like terms:
3x + 4y = -23
-2x + 4y = -38
Add the two equations together to eliminate y: (3x - 2x) + (4y + 4y) = -23 - 38, resulting in x = -61.
Substitute x back into the second original equation: 2y - (-61) = -19, which simplifies to 2y + 61 = -19.
Solve for y by subtracting 61 from both sides: 2y = -80, and then dividing by 2 gives us y = -40.
So, the solution to the system of equations is x = -61 and y = -40.
Ratio Question solving with algebra need help must finish soon
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Note, that the answers are marked by green colour.
Lucy is making a smoothie by following the recipe below
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how i describe the algebraic expression of n+4
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Answer:
Step-by-step explanation:
One way to put that into words would be "4 added to some number". Another way could be "the sum of some number and 4" or "4 more than some number". They all mean the same thing.
What are the coordinates of the image of the point (4, 2) after a dilation with a center of (0, 0) and a scale factor of 2? A. (0, 0) B. (2, 1) C. (4, 2) D. (8, 4)
Answers
Answer:
Option D (8,4)
Step-by-step explanation:
we know that
The dilation centered at the origin (0,0) is very simple. To find out the image point multiply the scale factor to the x and y-coordinates of the pre-image point.
so
(2*4,2*2) -----> (8,4)
Answer:
D. (8, 4) IS THE ANSWER
A circle is dropped into parabola y = x 2 . what is the radius of the largest circle that will touch the vertex?
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CAN I GET THE RIGHT ANSWER TO THIS??
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A secant is a line that has two different intersecting points with a circle
Four family members compared their ages. Terell is 3 years younger than Danny. Danny is 1 year younger that Pablo. Pablo's age is 1/3 Shaniqua age. How old is Terell if shaniqua is 36 years old?
Answers
What is the diameter of a circle with a circumference of 176 feet use for 22 over for pie
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Formula for Radius: R= C/2(pi)
R= 176/2(22/7)
R=28.01
2(28.01)=56.02
Answer= 56.02
One rejects the null hypothesis only when the:
a. sample mean is larger than the population mean.
b. p value associated with the test statistic is greater than the p level chosen.
c. p value associated with the test statistic is smaller than the p level chosen.
d. sample mean is smaller than the population mean.
Answers
If the P value is less than or equal to o, then the null hypothesis is rejected in favor of the alternative hypothesis. The alternative hypothesis is also known as the research hypothesis. These are part of the significance levels of research based projects.
Ronald Fast Food randomly selected 20\%20%20, percent of locations and asked the manager about the most popular meat. Of the locations surveyed, beef is the most popular meat at 444 locations.
Based on the data, what is the most reasonable estimate of the number of Ronald Fast Food locations where the most popular meat is beef?
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Hope this helped☺☺
In the diagram, what is the value of x?
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x is a supplementary angle to the angle labelled as measuring 82° (that is, the sum of x and 82° is 180°) because together, they make a straight line.
Mathematically,
x + 82° = 180°
x = 180° - 82°
x = 98°
Find the cosine and the tangent of 60 degrees
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thus:
tan θ=opposite /adjacent
opposite= √3
adjacent=1
hence:
tan 60=√3/1=√3
cos θ=adjacent/ hypotenuse
adjacent=1
hypotenuse=2
thus
cos 60=1/2
Answer:
D!!!
Step-by-step explanation:
What is the correct expression of 34,000 x 96,000 using scientific notation?
Answers
For this case we have the following product:
[tex] 34000 * 96000
[/tex]
We can rewrite both numbers using scientific notation.
We have then:
[tex] (3,4 * 10 ^ 4) * (9,6 * 10 ^ 4)
[/tex]
Then, we can rewrite the expression as follows:
[tex] (3,4 * 9,6) * (10 ^ 4 * 10 ^ 4)
[/tex]
Same basis, the exponents are added:
[tex] (3,4 * 9,6) * 10 ^ 8
[/tex]
Multiplying the expression within the parenthesis we have:
[tex] (32.64) * 10 ^ 8
[/tex]
Rewriting the left term as scientific notation we have:
[tex] (3,264 * 10 ^ 1) * 10 ^ 8
[/tex]
Finally we have:
[tex] 3,264 * 10 ^ 9 [/tex]
Answer:
the correct expression of 34,000 x 96,000 using scientific notation is:
[tex] 3,264 * 10 ^ 9 [/tex]
What is equation for the line or curve of the best fit for the following data?
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Option 2. y = 4.98x - 0.3
The given points can be plotted on a graph. The points mainly lie in a straight line so a straight line will be the best fit for the given set of ordered pairs. The equation of line that best fit can be found using any tool like Excel, Statcrunch etc. Using excel the points have been plotted and equation of best fit is found. The image attached below show the graph and equation
A student's cell phone plan has a monthly charge of $40 for 600 minutes of use and a $0.25/minute charge for each additional minute. Last month, the student talked on the phone for 790 minutes. Which of the following is the bill for the month?
Answers
We have to find the bill for this month.
Since, the student talked on phone for 790 minutes.
600 minutes are provided in a monthly charge of $40 and the remaining minutes are charged $0.25/minute.
So, 790 - 600 =190 minutes.
So, 190 minutes are minutes at $0.25/minute.
So, Cost applied on 190 minutes = [tex] 190 \times \$ 0.25 [/tex]
= 47.50
So, Total bill for 790 minutes =
Cost for 600 minutes + Cost for 190 minutes
= $40 + $47.50
= $87.50
So, the bill for the month is $87.50
5n + 3 = 2(n + 2) + 3n
N= ???
-Show All Work!-
Answers
5n + 3 = 2(n + 2) + 3n
Reorder the terms:
3 + 5n = 2(n + 2) + 3n
Reorder the terms:
3 + 5n = 2(2 + n) + 3n
3 + 5n = (2 * 2 + n * 2) + 3n
3 + 5n = (4 + 2n) + 3n
Combine like terms: 2n + 3n = 5n
3 + 5n = 4 + 5n
Add '-5n' to each side of the equation.
3 + 5n + -5n = 4 + 5n + -5n
Combine like terms: 5n + -5n = 0
3 + 0 = 4 + 5n + -5n
3 = 4 + 5n + -5n
Combine like terms: 5n + -5n = 0
3 = 4 + 0
3 = 4
Solving
3 = 4
The left and right sides are not equal, therefore there is no solution.
Johan takes out a 20-year mortgage at 4% to buy a house. When he looks at investing in 20-year, fixed-rate Treasuries, which of the following rates is most likely closest to the coupons on the Treasuries? Select the best answer from the choices provided. 2.2% 7.8% 3.9% 9.2%
Answers
Answer:
3.9%
Step-by-step explanation:
Investing in treasuries is often seeing as a risk free investment since it is sure that they will pay, but the rates are too low, when banks and other finnance corporations set up their mortages and other kinds of large loans interests rates they set them up higher than the fixed rate treasuries since otherwise it´d just be a better deal to put that money on treasuries than lending it to people.
solve the system of equations by substitution. 3/8 x + 1/3 y =17/24 and
x + 7y = 8
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To solve this system by substitution, first isolate x in the second equation.
[tex]x+7y=8[/tex]
[tex]x+7y-7y=8-7y[/tex]
[tex]x=8-7y[/tex]
Now, plug this expression ([tex]8-7y[/tex]) for x in the top equation to solve for y.
[tex] \frac{3}{8} (8-7y)+ \frac{1}{3} y= \frac{17}{14} [/tex]
[tex]3- \frac{21}{8} y+ \frac{1}{3} y= \frac{17}{24} [/tex]
[tex]72-63y+8y=17[/tex]
[tex]72-55y=17[/tex]
[tex]-55y=17-72[/tex]
[tex]-55y=-55[/tex]
[tex]y=1[/tex]
Now that you have y, plug it into the second equation and solve for x.
[tex]x+7y=8[/tex]
[tex]x+7(1)=8[/tex]
[tex]x+7=8[/tex]
[tex]x=1[/tex]
Last step is to plug your x- and y-values in to both equations to check your work.
[tex] \frac{3}{8} (1)+ \frac{1}{3} y= \frac{17}{24} [/tex]
[tex] \frac{3}{8} * \frac{3}{3} = \frac{9}{24} ; \frac{1}{3} * \frac{8}{8} = \frac{8}{24} [/tex]
[tex] \frac{9}{24} + \frac{8}{24} = \frac{17}{24} [/tex] <--True
[tex]1+7(1)=8[/tex]
[tex]1+7=8[/tex] <--True
Answer:
[tex]x=1 \\ y=1[/tex]
Answer:
1,1
Step-by-step explanation:
Correct:)
Graph the equation
5x+3y+62=30
Answers
Answer:
see below
Step-by-step explanation:
Subtract 62, then divide by -32 to put the equation into intercept form:
... x/(-6.4) + y/(-10 2/3) = 1
This tells you the x-intercept is -6.4, and the y-intercept is -10 2/3. A line through these two points is your graph.
Match the expressions with the property used to generate 5y + 2y + 6 + 2.
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Hope this helps!
A rectangular prism has a length of 312 inches, a width of 5 inches, and a height of 112 inches. What is the volume of the prism? Enter your answer in the box as a simplified mixed number or a decimal.
Answers
Answer:
The volume of the prism in the decimal form is 26.25 inches³ and [tex]26 \frac{1}{4}\ inches^{3}[/tex]
Step-by-step explanation:
Formula
Volume of a rectangular prism = Length × Breadth × Height
As given
A rectangular prism has a length of [tex]3 \frac{1}{2}[/tex]inches, a width of 5 inches, and a height of [tex]1 \frac{1}{2}[/tex] inches.
i.e
A rectangular prism has a length of [tex]\frac{7}{2}[/tex]inches, a width of 5 inches, and a height of [tex]\frac{3}{2}[/tex] inches.
[tex]Volume\ of\ a\ rectangular\ prism = \frac{7}{2}\times 5\times \frac{3}{2}[/tex]
[tex]Volume\ of\ a\ rectangular\ prism = \frac{7\times 5\times\times 3}{2\times 2}[/tex]
[tex]Volume\ of\ a\ rectangular\ prism = \frac{105}{4}[/tex]
In mixed number
[tex]Volume\ of\ a\ rectangular\ prism =26 \frac{1}{4}\ inches^{3}[/tex]
In decimal form
[tex]Volume\ of\ a\ rectangular\ prism = 26.25\ inches^{3}[/tex]
Therefore the volume of the prism in the decimal form is 26.25 inches³ and [tex]26 \frac{1}{4}\ inches^{3}[/tex]
Answer: [tex]26\dfrac{1}{4}\text{ inches}^3[/tex]
Step-by-step explanation:
Given : In a rectangular prism , length = [tex]3\dfrac{1}{2}\text{ inches}[/tex]
[tex]=\dfrac{3(2)+1}{2}=\dfrac{7}{2}\text{ inches}[/tex]
width = 5 inches
height= [tex]1\dfrac{1}{2}\text{ inches}=\dfrac{3}{2}\text{ inches}[/tex]
Now, the volume of the prism will be :-
[tex]V= l\times w\times h\\\\=\dfrac{7}{2}\times5\times\dfrac{3}{2 }\text{ inches}^3\\\\=\dfrac{105}{4}\text{ inches}^3\\\\=26\dfrac{1}{4}\text{ inches}^3[/tex]
Hence, the volume of the prism [tex]=26\dfrac{1}{4}\text{ inches}^3[/tex]
Find an equation of the tangent line to the tangent line to the given curve at the specified point y= ln(x^2-8x+1), (8,0)
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Details are provided on the attached picture.
Which of the following describes the graph of the transformed function compared with the parent function? Select all that apply.
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The factor of 0.4 means it is compressed (since the factor is < 1).
Since the term inside the radical is x - 2, this means that we translate the graph 2 units to the right.
So the only correct descriptions are: compressed by a factor of 0.4, and translated 2 units to the right.
Answer: a,c,d
Step-by-step explanation: got it right on edge :)