Answer:
C
Step-by-step explanation:
I got it right
The function that best models the data set is y = 3x + 11
What is the slope of the line?"The slope of the line passing through points [tex](x_1,y_1),(x_2,y_2)[/tex] is,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]"
What is the equation of the line passing through two points?"The equation of the line passing through points [tex](x_1,y_1),(x_2,y_2)[/tex] is, [tex]\frac{y-y_1}{y_2-y_1} =\frac{x-x_1}{x_2-x_1}[/tex] "
For given question,
If we draw the line of best fit, then the the line would pass through points (3, 20) and (8, 35)
Let [tex](x_1,y_1)=(3, 20),(x_2,y_2)=(8, 35)[/tex]
Then the equation of the line would be,
[tex]\Rightarrow \frac{y-y_1}{y_2-y_1} =\frac{x-x_1}{x_2-x_1} \\\\ \Rightarrow \frac{y-20}{35-20} =\frac{x-3}{8-3} \\\\ \Rightarrow \frac{y-20}{15} =\frac{x-3}{5} \\\\ \Rightarrow y-20=15\times \frac{x-3}{5}\\\\ \Rightarrow y-20=3(x-3)\\\\ \Rightarrow y-20=3x-9\\\\ \Rightarrow y=3x+11[/tex]
Therefore, the function that best models the data set is y = 3x + 11
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A sixth-grade student bought three cans of tennis balls for $4 each. The sales tax for each can was $.95. Which expression(s) can be used to find the total amount the student spent. Select all that apply.
Given :
A sixth-grade student bought three cans of tennis balls for $4 each.
The sales tax for each can was $0.95.
To Find :
The total amount the student spent.
Solution :
Price of each can including taxes :
p = $( 4 + 0.95 )
p = $4.95
So, price of 3 such cans including tax is :
P = p×3
P = $( 4.95×3 )
P = $14.85
Therefore, total amount spend by the student is $14.85 .
Pllzzzz help it’s an exam !!!! A side of the triangle below has been extended to form an exterior angle of 125 . Find the value of x
Answer:35
Step-by-step explanation:
take 180 and subtract those numbers and u get ur answer
Pencils were ordered in boxes containing 6 pencils each. The grade level has 100 students. If the teachers want to start the year with 4 pencils per student, how many boxes do they need to buy before the school year starts?
Answer:
67
Step-by-step explanation:
(4*100)/6
=400/6
=66.67
Round to get 67
Triangle ABC has coordinates A(1, 1); B(2, 5); C(5, 1). What would be the coordinates of A'B'C' if you translated ABC left 2 and up 5 units? (Hint: x-values go left and right; y-values go up and down) *
A'(-1, 6) B'(0, 10) C'(3, 6)
A'(3, -4) B'(4, 0) C'(7, -4)
Answer:
A'(-1, 6) B'(0, 10) C'(3, 6)
Answer:
I would say it's the first one
Factor the following expression: x^2+3x
Does anyone know how to do this I’ve been trying for hours and I can’t find anything to help me?
Answer:
Honestly dude try your hardest u got this i belive in u ask your mom or dad or big brother or big sister if your seeing this right now im trying to help if if u love your mom u would do the same.
Step-by-step explanation:
Answer this please, will give 100 points.
Answer:
y=x doesent that mean 2=3 so what you do is the line that goes up thats y and the one that goes sideways thats x so at the to go to 2 then at the side go to 3
Answer:
Step-by-step explanation:
y=x doesent that mean 2=3
y=3x+5 6x - 2y = -10
Answer:
Parallel?
Step-by-step explanation:
6x = 2y + 10
3x = y + 5 divide both sides by 2
y = 3x + 5/3
Sam slopes, different intercepts.
what is the function shown on this graph
A. y=3×+2.
B. y=1/3x -2.
C. y=3x-2.
D. y=-3x-2
Answer:
I'm pretty Shure b is ur answer
write 268 in scientific notation
Answer:
2.68 x 10 to the second power
an equation for a line with a slope of zero.
Answer:
M=0
Step-by-step explanation:
Youre welcome
Answer:
y=3
Step-by-step explanation:
calculate the perimeter of this figure to the nearest tenth
Answer:
40.9
Step-by-step explanation:
Perimeter = 8 + 10 + 10 + 4 + 8.9
=> 20 + 4 + 8.9 + 8
=> 32 + 8.9
=> 40.9
This is already in the nearest tenth, so the answer = 40.9
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
#4 Where is 44 on the number line?
A) At 22.
C) Between 6 and 7, but closer to 6.
B) Between 6 and 7, but closer to 7
D) Between 7 and 8, but closer to 7.
Answer:
B), Between 6 and 7, but closer to 7
Step-by-step explanation:
The square root of 44 is around 6.6, so closer to 7
You can prove this by multiplying 6.6 by itself
6.6 x 6.6 = 43.56
pls help i'll give branliest
Answer:
50
Step-by-step explanation:
good luck!!
Answer:
50
Step-by-step explanation:
hope its correct..............
PLEASE SOMEONE HELP MEEE
Answer:
Alternate interior angle
Step-by-step explanation:
Hope this helps.
Answer:
your answer is A ....
5(x+3)-5
simplify this.
Answer:
5x+10
Step-by-step explanation:
Distribute:
=(5)(x)+(5)(3)+−5
=5x+15+−5
Combine Like Terms:
=5x+15+−5
=(5x)+(15+−5)
=5x+10
Expand the function f(x)=(3x+2)^4 with the binomial theorem, not factored
Step-by-step explanation:
Enter a problem...
Algebra Examples
Popular Problems
Algebra
Expand using the Binomial Theorem (3x+2)^4
(3x+2)4(3x+2)4
Use the binomial expansion theorem to find each term. The binomial theorem states (a+b)n=n∑k=0nCk⋅(an−kbk)(a+b)n=∑k=0nnCk⋅(an-kbk).
4∑k=04!(4−k)!k!⋅(3x)4−k⋅(2)k∑k=044!(4-k)!k!⋅(3x)4-k⋅(2)k
Expand the summation.
4!(4−0)!0!⋅(3x)4−0⋅(2)0+4!(4−1)!1!⋅(3x)4−1⋅(2)+4!(4−2)!2!⋅(3x)4−2⋅(2)2+4!(4−3)!3!⋅(3x)4−3⋅(2)3+4!(4−4)!4!⋅(3x)4−4⋅(2)44!(4-0)!0!⋅(3x)4-0⋅(2)0+4!(4-1)!1!⋅(3x)4-1⋅(2)+4!(4-2)!2!⋅(3x)4-2⋅(2)2+4!(4-3)!3!⋅(3x)4-3⋅(2)3+4!(4-4)!4!⋅(3x)4-4⋅(2)4
Simplify the exponents for each term of the expansion.
1⋅(3x)4⋅(2)0+4
Hope this helps!
Answer:81x^4+216x^3+216x^2+96x+16
Step-by-step explanation:cause yussss
ANSWER ASAP FOR 35 POINTS!!
A pool has a diameter of 12 feet and a height of 2 feet. If each cubic foot holds 7.48 gallons of water, about how many gallons of water can the pool hold? Use 3.14 for pi.
A) 6764 gallons
B) 2255 gallons
C) 1691 gallons
D) 564 gallons
Answer:
cc
Step-by-step explanation:
4
Erin says. "There are 30 boys in my sports club (to the nearest 10) and 20 girls (to the
nearest 10), so there must be 50 pupils to the nearest 10"
Is she right or wrong?
You must show working to explain your answer.
The ratio of boys to girls in Coach Sheppard's class is 3 to 5. There are 20 girls in the
class.
What is the total number of students in Coach Sheppard's class?
Answer:
32 Students
Step-by-step explanation:
3/5 = 12/20
This means you add the boys and girls to get 32.
Which equation represents the function graphed on the coordinate plane?
g(x)=|x+4|-2
g(x)=|x-4|-2
g(x)=|x-2|-4
g(x)=|x-2|+4
please help me this is due in a couple of minutes!!!!!! please help me.
Answer: A g (x)= [x+4]-2
Step-by-step explanation:
What does it mean for a line to have an undefined slope?
Answer:
it means it is a vertices line and the x coordinates never change
Step-by-step explanation:
Given slope = -5 & y-intercept = (0,0) write the equation
y=-5x
Step-by-step explanation:
pls please please answer !!!
Answer:
B) 120
Step-by-step explanation:
hope this helpssssss
which of the following equations represents the graph?
A. y = 3/4x - 3
B. y = 3/4x + 4
C. y = 4/3x - 3
D. y = 4/3x + 4
Answer:
D) 4/3 x + 4
Step-by-step explanation:
The y-intercept is at point (0, 4) and the x--intercept is at point (-3, 0).
The equation for every straight line is y = mx + b. y is y, m is the slope, x is x, and b is the y value in the y-intercept
Now we will use the formula for slope, which is rise/run or more understandable , the change in y/change in x.
y2 - y1/x2 -x1
0 - 4/-3 - 0
-4/-3 = 4/3
Remember when I said the y-intercept was (0, 4) and b was the value of the y in the y-intercept? 4 is the value of y in the y-intercept.
The answer is 4/3x + 4.
On the first day after the new moon, 2% of the Moon's surface is illuminated. On the second day, 6% is illuminated. Based on this information, predict the day on which the Moon's surface is 50% illuminated and 100% illuminated.
illuminated.
PLEASE HELPPPPPPP!!!!!!!!!!!
Answer:
Day 13= 50%
Day 26=100%
Step-by-step explanation:
Answers vary. Sample response: A simple approach is to attempt a linear model starting at Day 1. If the illumination is increased by 4% every day, then after 11 more days (after Day 2) it reaches 50%. In 13 more days, illumination reaches 100%. This gives a prediction of Day 13 for 50% and Day 26 for 100%.
The days where it is illuminated is Day 13= 50% and Day 26=100%
Linear model:Here A simple approach should be considered for linear model that begins at Day 1. In the case when the illumination is increased by 4% every day, so after 11 more days (after Day 2) it reaches 50%. In 13 more days, illumination reaches 100%.
Therefore, we can conclude that The days where it is illuminated is Day 13= 50% and Day 26=100%
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What is f(3) if f(x) = 2x + 1?
Answer:
f(3) = 7
Step-by-step explanation:
To evaluate f(3), substitute x = 3 into f(x), that is
f(3) = 2(3) + 1 = 6 + 1 = 7
which equation represents the line that passes through points (5, 4) and (-5, 0)
The equation should be [tex]y = 2\div 5x + 2[/tex]
Given that,
The points are (5, 4) and (-5, 0)Based on the above information, the calculation is as follows:
here we need to find the slope.
[tex]= (y_2-y_1)\div (x_2-x_1)\\\\= (0-4)\div (-5-5) \\\\= -4\div -10 \\\\= 2\div 5\\\\Y = 2\div 5x + b[/tex]
Now
Put in one point
[tex]4 = 2\div 5(5) + b, b = 2[/tex]
So,
[tex]y = 2\div 5x + 2[/tex]
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The relationship between two numbers is described below, where x represents the first number and y represents the second number.
The square of the first number is equal to the sum of the second number and 16. The difference of 4 times the second number and 1 is equal to
the first number multiplied by 7.
Select the equations that form the system that models this situation. Then, select the solution(s) of the system.
X=y+16
4y-1=7
Solve on both sides
4y=8
Y=8/2
Y=4
X= (4)+16
X=20
in triangle ABC, angle A is 25 degree, and Angle B is 105 degrees. what is the measure of angle c