Rita is starting a running program. The table shows the total number of miles she runs in different weeks. What is the equation of the line of best fit for the data? State each number to the thousandths place.
Step-by-step explanation:
Y = 1.671 X + 4.699
The equation of best fit data is Y = 1.671 X + 4.699
What are fit equations?
Fitting an equation to data is finding a linear, quadratic, exponential, or any other sort of function whose graph includes, or comes as close as possible to, a given set of data in the form of ordered pairs. The relative predictive power of a model shows how accurately the model is related to the data.
The theoretical pattern best accounts for the relationships among variables in a data set. For example, a regression equation having the best fit to sample data is the one that minimizes differences between observed and predicted values.
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Someone please help me, write a variable equation to represent the situation, and solve it by using inverse operations.
Three times the difference between a number and six is eighteen.
What is the equation of the circle?
Answer:
x² + y² = 3
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( where r is the radius )
Using Pythagoras' identity in right triangle CRT
CR² = 1² + ([tex]\sqrt{2}[/tex] )² = 1 + 2 = 3 ( take the square root of both sides )
CR = r = [tex]\sqrt{3}[/tex] , then
x² + y² = ([tex]\sqrt{3}[/tex] )² , that is
x² + y² = 3
Please help! Solve the following system by substitution:
Answer:
C.
Step-by-step explanation:
C= 5 and D= -2.
a football team gains 9 1/2 yards on their first play then lose 10 yards for a penalty they lose 5 yards and then gain 7 yards on the next two plays what is the teams overall gain or loss and did rhey make a first down (10+ yards)?
Answer: No
Step-by-step explanation: Because if the team lost 10 yards from 9 1/2 then they would be negative yards if they lose 5 yards they will have 5 1/2 and if they gain 7 yards their total will be 1.5 so they never made it to 10+ yards.
What is the difference in length between
Answer: 7/8
Step-by-step explanation:
1 1/4 - 3/8 = 1.25 - 0.375 = 0.875 = 7/8
Shelley has a nickel and a penny and flips each coin. What is the probability that she will get tails on each coin?
Answer:
The probability of both coins landing on tails is 25%
Step-by-step explanation:
A coin toss is a 50% chance to get on either side, if you toss 2 coins that probability is cut in half and becomes a 25% chance to get both of the coins to land on the same side.
’ll give brainlist to whoever answer correct. Do not give any links or answer for points
This is a repost so I’ll give you brainlist if you answer on the other one to.
Answer:
Neither
Step-by-step explanation:
Consecutive means 1 right after the other. so they touch. and if they are SIDES then they must be intersecting somewhere along the way so they wouldn't be either of the other two.
Find the equation for the
following parabola.
Vertex (2, -1)
Focus (2, 3)
Answer:
(x−2)^2=16(y+1)
Step-by-step explanation:
The equation for the parabola is (x - 2)² = 16(y + 1) if the vertex of the parabola is (2, -1) and focus of the parabola is (2, 3) option (D) is correct.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have:
The vertex of the parabola = (2, -1)
The focus of the parabola = (2, 3)
As we know, the vertex form of the parabola is given by:
(x - h)² = 4a(y - k)
(h, k) is the vertex of the parabola:
(x - 2)² = 4a(y - (-1))
(x - 2)² = 4a(y + 1)
The value of a can be found using the formula:
a = √[(c-h)² + (d-k²]
(c, d) is the focus of the parabola:
(c, d) = (2, 3)
a = √[(2-2)² + (3-(-1))²]
a = √ (3+1)²]
a = 4
(x - 2)² = 4(4)(y + 1)
(x - 2)² = 16(y + 1)
Thus, the equation for the parabola is (x - 2)² = 16(y + 1) if the vertex of the parabola is (2, -1) and focus of the parabola is (2, 3) option (D) is correct.
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1. A new book bag costs $45. If it is on sale for 25% off and a tax of 7%, how much would it
cost?
Answer:
I believe it would be $31.39
Step-by-step explanation:
Original Price - $45
Price With Sale And Tax $31.39
Hope that helps!
PLEASE HELP ASAP
Find the surface area and the volume of the prism.
Answer:
Surface Area: 1320
Volume: 2160
Step-by-step explanation:
Before calculating Volume and Surface Area, we need to calculate the missing side of the right triangle using the Pythagoreon theorem: [tex]a^2+b^2=c^2[/tex]
where c is the hypotenuse, 26.
Substituting the values into the equation you get:
10^2 + b^2 = 26^2
100 +b^2 = 676
Subtract 100 from both sides.
b^2 = 576
b = 24
Now that we have the missing side, we can calculate the rest of the question.
Surface Area = 2([tex]\frac{1}2[/tex] × 24 × 10) + (18 × 26) + (18 × 24) +(18 × 10)
240 + 468 + 432 + 180 = 1320 unit^2
Volume = [tex]\frac{1}2[/tex] × base × height × length
[tex]\frac{1}2[/tex] × 24 × 10 × 18 = 2160 unit^2
Brainliest if you don't mind ;)
which of the following points is the solution of the quadratic equation : 3x² - 5x-2=0
Answer:
answer in the file
Step-by-step explanation:
pls helppp! tysmmmm!!
Someone please help with all this. Show working out as well! Will mark as brainliest.
Thanks
9514 1404 393
Answer:
a) k = -19
b) P(x) = (5x +1)(3x -1)(2x -1)
c) x = {-1/5, 1/3, 1/2}
d) see attached
e) no; P(-1) = -48
f) see attached
Step-by-step explanation:
a) The second attachment shows synthetic division of P(x) by the factor (x -1/3). The remainder is 0 when the final expression is zero:
1 + (10 +k)/9 = 0
(10 +k)/9 = -1 . . . . . subtract 1
10 +k = -9 . . . . . . . .multiply by 9
k = -19 . . . . . . . . . . subtract 10
For (3x -1) to be a factor, the value of k is -19.
__
b) The graph (see part C) shows the zeros of the function to be -0.2, 0.333..., and 0.5. This means the linear factors are ...
P(x) = (5x +1)(3x -1)(2x -1)
The linear factors can also be obtained by finishing the factoring of ...
P(x) = (3x -1)(10x^2 -3x -1)
The quadratic factor is the synthetic division result, divided by 3. It can be factored by grouping: 10x^2 -3x -1 = (10x^2 -5x) +(2x -1) = 5x(2x -1) +1(2x -1).
So P(x) = (3x -1)(5x +1)(2x -1).
__
c) The graph shows the zeros to be x ∈ {-1/5, 1/3, 1/2}.
__
d) See the attachment for a graph
__
e) The point (-1, -40) is not on the graph. Evaluating P(-1) gives -48. The point that would be on the graph for x=-1 is (-1, -48).
__
f) See the attachment.
3 feet= ? inches. what is it? TwT
Answer:
36 inches
Step-by-step explanation:
Answer is...
3ft → 36in
Step-by-step explanation:
To convert feet into inches, you multiply how much feet by 12.
That being said, we can multiply 3 by 12 to get how many inches 3 feet equals.
3 × 12 = 36
Hence, 36in is the answer.
Let me know of any question or concerns by commenting below.
pLEASE HELP I'LL GIVE BRAINLIEST
Hope it helps you......
f(x) = 3x - 5 for x < -5
f(x) = 5 for 5 < x < 4 4
f(x) = -2x + 5 for 4 < x
piecewise function
Complete the table of values for y = 0.5x + 1
can you help?
hope the answer can help you.
Answer:
x is -2, -1, 0, 1, 2 and y is 0, 0.5, 1, 1.5, 2
help me plz it’s due rn
Answer:
x= 8/12 or x = 18/12
Step-by-step explanation:
The cafeteria bought 200 French bread pizzas for lunch next week. If they had bought the pizza last week while it was on sale, it would only have cost $ 2.00 per pizza. Now, 7 days later, the price is $ 3.78 per pizza. How much money could they have saved if they bought the pizza last week?
Answer:
$356
Step-by-step explanation:
To solve this problem, use this: (200 * 3.78) - (200 * 2)
(200 * 3.78) - (200 * 2)
200 * 3.78 is the same as 2 * 378, which is 756.
756 - (200 * 2)
200 * 2 is the same as 4 * 100, which is 400.
756 - 400
Subtract 400 from 756 to get 356.
356
If they brought the pizza last week, the school could have saved $356.
Based on the timeline, which of the following statements is true?
Answer:
Answer B.Step-by-step explanation:
If you check each answer, only B works since it is the only one that would place everything correctly on the timeline
Assignment Active Identifying the Rules of Exponents to Evaluate Which rules of exponents will be used to evaluate the expression. Check all that apply. [(7")(7")T quotient of powers product of powers power of a power power of a product negative exponent zero exponent Done Intro
Answer:
its 44
Step-by-step explanation:
because IRS 444 j utf d funk nhc ddh
PLEADE HELP I WILL MARK YOU AS BRAINEIST
Answer:
83
Step-by-step explanation:
a = 25
The biggest angle is (3a+8) = 83
Answer:
83
Step-by-step explanation:
(3a+8)+(60-a)+(4a-38)=180
combine like terms, 6a+30=180
inverse operation to isolate the variable, 6a=150
divide six on both sides, a=25
replace a in every expression, 3(25)+8=83
60-25=35
4(25)-38=62
83 is biggest out of the three, therefore 83 is the answer.
graph g(x)=− 51 (x+5) ^2 − 2
Answer:Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
5
,
1
)
Focus:
(
5
,
9
8
)
Axis of Symmetry:
x
=
5
Directrix:
y
=
7
8
x
y
3
9
4
3
5
1
6
3
7
9
A consumer magazine rates televisions by identifying two levels of price, four levels of repair frequency, three levels of features, and three levels of picture quality. How many different ratings are possible?
Answer:
72 different ratings
Step-by-step explanation:
To find how many different ratings there are, multiply all the factors together.
2 * 4 * 3 * 3 = x
8 * 9 = x
x = 72
72 different ratings
PLZ HELP ME GUYS PLZ
Answer:
y=2x+3
x=(-1)
y=-5x+6
x=1
Step-by-step explanation:
Just find x in the equation
Guys I need help on this please
Answer:
The correct answer should be the first option.
Step-by-step explanation:
Answer:
First option. The graphs domain is -∞<x<∞ and its range is -5 ≤ y < ∞
Step-by-step explanation:
I graphed this function
Domain: x ∈ R
Range: y ∈ [-5, + ∞
Minimum (1, -5)
Verticle intercept (0, -4)
A stop sign is in the shape of an octagon. Find the perimeter if each side is 2a + 1 units
Given,
Side of the octagon = ( 2a + 1 ) units» Perimeter means total length of its boundary.
→ Octagon has 8 sides.
So,
→ Perimeter of Octagon = Length of 8 sides
→ Perimeter of Octagon = 8 ( 2a + 1 ) units
→ Perimeter of Octagon = 16a + 8 units
Therefore,
Perimeter of the octagon is [tex] \bf 16a + 8 [/tex] units.Step-by-step explanation:
Side of the octagon
An octagon has 8 sides. Each side is 2a + 1 units.
8(2a + 1)
= 16a + 8
PLEASE HELP ME,!!!!!!!!!!! ALL LINKS WILL BE REPORTED!!
Which of the following indicates the subtraction property of equality when solving the equation 86 – 2 (9x + 4) = 12x + 18?
Question options:
A)
2(9x + 4) = 86 – 12x – 18
B)
–2(9x + 4) = 12x + 18 – 86
C)
x = 2
D)
86 – 18x – 8 = 12x + 18
Answer:
D
Step-by-step explanation:
Answer: D) 86 - 18x - 8 = 12x + 18
Jordan earned $200 this month delivering newspapers. His mom said he must put 20% into his savings account. He wants to buy headphones that cost $ 99.95 and two shirts that cost \$17 each. He also has to pay 7% sales tax on his purchases . Jordan said, "No problem. I will put 20% into savings , buy the things I want, and still have about $10 left." Use estimation to determine if Jordan's calculation is reasonable. Show your work.
Answer:
Yes, his calculation is reasonable. He will have about $16.67 left.
Step-by-step explanation:
200 - (200 * .2) = $160 Subtract money for savings
99.95 + (99.95 * .07) + (17*2) + (17 * .07) + (17 * .07) = $143.33 Add taxes
160 - 143.33 = $16.67 Subtract money for purchases from money left after savings