Answer:
The slope is : -2/2
Step-by-step explanation:
To find the slope, start on the y-axis. -2 passes through the line on the y-axis so start there. Go up 2 unites, which will bring you to the origin. Now you need to reach -2 on the x-axis. Go left two units, which gives you 2/2. It's rise over run. It's -2 because you went left two units not right. When you go left, or down it'll be negative.
2 = rise
/
-2 = run
(x₁,y₁) = (-2,0)
(x₂,y₂) = (0,-2)
m = (y₂ - y₁)/(x₂ - x₁)
m = (-2 - 0)/(0 - (-2))
m = -2/2
m = -1
Given the table, what is the linear equation?
x y
1 7
2 10
3 13
4 16
Answer:
yes
Step-by-step explanation:
5.41 + k = 9.7 what is the value of k
PLZZ HELPP IM FAILLING THIS CLASS
Answer:
cups
0.14 and 0.098
plates
0.1375 and 0.144
silverware
0.047 and 0.129
Total:
30.25
Step-by-step explanation:
5.60/40 and 4.90/50
40 count and 50 count
cups
0.14 and 0.098
2.75/20 and 3.60/25
plates
0.1375 and 0.144
9.85/210 and 12.90/100
silverware
0.047 and 0.129
Total:
(5.60+4.90)*(0.85)+(2.75+3.60)*(0.85)+(9.85+12.90)*(0.70)
=30.2475
round
30.25
Answer:
The answer to your question is 30.25
Step-by-step explanation:
Hope I helped! Sorry if not. Have a wonderful day and an even better Christmas break! Happy Holidays! Remember to focus on the positive and follow me please! Thanks, Bye! ;D
the factory produces 115 items an hour. Write an equation that shows the relationship between hours x and items y plz help
Answer:
115x=y
Step-by-step explanation:
which of the following is not a valid probability?
A. 1
B. 0
C. 0.0000001
D. 1.0002
Answer:
0
Step-by-step explanation:
The list below shows the different choices of pizka at the local pizza shop:
- pepperoni: 4
- supreme: 7
- cheese: 6
- Hawaiian: 3
Based on these results, what is the theoretical probability of choosing a Hawaiian pizza?
Answer:
Step-by-step explanation:
help please I will give brainiest
50 points.
Record the simplified expression
Answer:
-4x+5
Step-by-step explanation:
-(4x-2) change sign of each in parenthesis so they are now -4+2
now you have -4x+2+3 add like terms
now you have -4x+5
[tex]\sf \longmapsto−4x+2+3[/tex]
Combine like terms[tex]\sf \longmapsto−4x+2+3[/tex]
[tex]\sf \longmapsto(−4x)+(2+3)[/tex]
[tex]\sf \longmapsto−4x+5[/tex]
The box plots below show the miles per gallon (mpg) ratings distribution for three types of cars.
someone please help!! 60 points!!
Answer:
It C am sure it correct....
Answer:
I think the answer would be C.
Give three examples of equations where the solution will be unique that is only one solution is possible.
Answer:
5x = 3x
4+8t-y=y-t+8
98/r=34t
Step-by-step explanation:
cuánto es 120 por 12
Answer:
120 x 12 = 1440
Step-by-step explanation:
Answer:
es 1440
Step-by-step explanation:
solo pones 120
x12
Integrate the following:
[tex]\displaystyle \int \frac{x^2}{x^2+x+3}\, dx[/tex]
Answer:
[tex]\int {\frac{x^2}{x^2+x+3} } \, dx = - \frac{5\sqrt{11} }{11}arctan(\frac{\sqrt{11}(2x+1) }{11} ) - \frac{1}{2}ln|x^2+x+3| +x + C[/tex]
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Completing the SquareRearranging VariablesAlgebra II
Long DivisionCalculus
U-Substitution[Integration Trick 1] Numerator Split[Integration Trick 2] Completing the SquareIntegration Rule 1: [tex]\int {cf(x)} \, dx = c\int {f(x)} \, dx[/tex]Integration Rule 2: [tex]\int {f(x)+g(x)} \, dx =\int {f(x)} \, dx + \int {g(x)} \, dx[/tex]Integration 1: [tex]\int {\frac{1}{u} } \, du =ln|u| + C[/tex]Integration 2: [tex]\int {\frac{du}{u^2+a^2} } = \frac{1}{a} arctan(\frac{u}{a} )+C[/tex]Integration 3: [tex]\int {x^n} \, dx = \frac{x^{n+1}}{n+1} +C[/tex]Step-by-step explanation:
Step 1: Define
[tex]\int {\frac{x^2}{x^2+x+3} } \, dx[/tex]
Step 2: Simplify Function
We do long division to simplify the function inside the function.
See Attachment for Long Division Work.
Once we do long division, our function becomes [tex]1-\frac{x+3}{x^2+x+3}[/tex]
Now we rewrite our Integral: [tex]\int ({1-\frac{x+3}{x^2+x+3} }) \, dx[/tex]
Step 3: Integrate Pt. 1
Distributive Integral [Int Rule 1]: [tex]\int {1} \, dx - \int {\frac{x+3}{x^2+x+3} } \, dx[/tex]Integrate 1st Integral [Int 3]: [tex]x - \int {\frac{x+3}{x^2+x+3} } \, dx[/tex]Step 4: Identify Variables Pt.1
Set variables for u-substitution.
u = x² + x + 3
du = (2x + 1)dx
Step 5: Integrate Pt. 2
Rewrite Integral [Int Rule 1]: [tex]x - \frac{1}{2} \int {\frac{2(x+3)}{x^2+x+3} } \, dx[/tex]Distribute 2 [Alg]: [tex]x - \frac{1}{2} \int {\frac{2x+6}{x^2+x+3} } \, dx[/tex]Rewrite Integral [Alg]: [tex]x - \frac{1}{2} \int {\frac{2x+1+5}{x^2+x+3} } \, dx[/tex]Rewrite Integral [Int Trick 1]: [tex]x - \frac{1}{2} [\int {\frac{2x+1}{x^2+x+3} } \, dx + \int {\frac{5}{x^2+x+3} } \, dx ][/tex](2nd Int) Complete the Square: [tex]x - \frac{1}{2} [\int {\frac{2x+1}{x^2+x+3} } \, dx + \int {\frac{5}{(x+\frac{1}{2})^2 + \frac{11}{4} } } \, dx ][/tex]Step 6: Identify Variables Pt. 2
Set variables for u-substitution for 2nd integral.
z = x + 1/2
dz = dx
a = √(11/4)
Step 7: Integrate Pt. 3
[Integrate] U-Substitution: [tex]x - \frac{1}{2} [\int {\frac{1}{u} } \, du + \int {\frac{5}{z^2 + (\sqrt{\frac{11}{4}})^2} } \, dz ][/tex]Rewrite Integral [Int Rule 1]: [tex]x - \frac{1}{2} [\int {\frac{1}{u} } \, du + 5\int {\frac{dz}{z^2 + (\sqrt{\frac{11}{4}})^2} } ][/tex]Integrate 1st Integral [Int 1]: [tex]x - \frac{1}{2} [ln|u| + 5\int {\frac{dz}{z^2 + (\sqrt{\frac{11}{4}})^2} } ][/tex]Integrate 2nd Integral [Int 2]: [tex]x - \frac{1}{2} [ln|u| + 5(\frac{1}{\sqrt{\frac{11}{4}}}arctan(\frac{z}{\sqrt{\frac{11}{4} } } ) ) ][/tex]Distribute 5 [Alg]: [tex]x - \frac{1}{2} [ln|u| + \frac{5}{\sqrt{\frac{11}{4}}}arctan(\frac{z}{\sqrt{\frac{11}{4} } } ) ][/tex]Distribute -1/2 [Alg]: [tex]x - \frac{1}{2}ln|u| - \frac{5}{2\sqrt{\frac{11}{4}}}arctan(\frac{z}{\sqrt{\frac{11}{4} } } )[/tex]Rationalize [Alg]: [tex]x - \frac{1}{2}ln|u| - \frac{5\sqrt{11} }{11}arctan(\frac{z}{\sqrt{\frac{11}{4} } } )[/tex]Resubstitute variables [Alg]: [tex]x - \frac{1}{2}ln|x^2+x+3| - \frac{5\sqrt{11} }{11}arctan(\frac{x+\frac{1}{2} }{\sqrt{\frac{11}{4} } } )[/tex]Simplify/Rationalize [Alg]: [tex]x - \frac{1}{2}ln|x^2+x+3| - \frac{5\sqrt{11} }{11}arctan(\frac{\sqrt{11}(2x+1) }{11} )[/tex]Rewrite [Alg]: [tex]- \frac{5\sqrt{11} }{11}arctan(\frac{\sqrt{11}(2x+1) }{11} ) - \frac{1}{2}ln|x^2+x+3| +x[/tex]Integration Constant: [tex]- \frac{5\sqrt{11} }{11}arctan(\frac{\sqrt{11}(2x+1) }{11} ) - \frac{1}{2}ln|x^2+x+3| +x + C[/tex]And we have our final answer! Hope this helped you on your Calculus Journey!
hope this will help you........
Please help! I am so bad at math!
Answer:
PR=12
Step-by-step explanation:
2x+6=3x-6
6=x-6
12=x
can yall do the work of the answer 95 to this
9514 1404 393
Answer:
? = 95°
Step-by-step explanation:
Long arc QR is twice the measure of inscribed angle QSR, so is 2×95° = 190°. That, together with the remaining short arcs ? and RS will make up the total circle of 360°.
arc QR + arc RS + ? = 360°
190° +75° +? = 360°
? = 360° -265° . . . . . . subtract 265° from both sides
? = 95°
find the slope of the following 2 points (2,-5), (9,3)
Answer:
8/7
Step-by-step explanation:
(2,-5) (9,3)
3-(-5)=8 because you apply your keep change change
9-2= 7
so 8/7
Find the slope between the points: (3,4) and (-1,-2)
Answer:
3/2 hope this helps hqhahjajja
Ms. Guthrie spent 80% of her cash on gifts.
What fraction of her cash did she spend on gifts?
She spent type your answer...
of her cash on gift.
Answer:
She spend (8/10) or (4/5) of her cash on gift.
Step-by-step explanation:
4/5 is simplified.
but not simplified its 8/10
Which expression is equivalent to 2x^2 - 2x + 7?
Answer:
(o,7) vertical intercept
minimum (1/2 , 13/2)
I need help please!!!!!
Core Algebra
Englis
Solving for an Unknown Using the Distributive Property
180(n-2)
The equation a = represents the angle measuresya, in a regular n-sided polygon. When the equation is
solved for n, n is equal to a fraction with a denominator of a - 180. What is the numerator of the fraction?
Answer:
-360
Step-by-step explanation:
I got it right
Explain how mental math can be used to estimate a 15% tip on a taxi ride that costs $23.25. Find the tip using that method.
Answer:
tip would be $3.50
Step-by-step explanation:
10% + 5% = 15%
10% of 23.25 is 2.33
5% of 2.33 is 1.17
add 2.33 and 1.17 to get 3.50
Answer:
I would do the question like
10% + 5% = 15% which would equal 3.50
Hope this helped (please mark brainliest)
1. Solve 6(x - 2) = 2(x + 12).
Answer:ok so. X= 9.
Step-by-step explanation: Step by Step Solution
More Icon
Reformatting the input :
Changes made to your input should not affect the solution:
(1): Dot was discarded near ").".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
6*(x-2)-(2*(x+12))=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
(6 • (x - 2)) - 2 • (x + 12) = 0
STEP
2
:
Equation at the end of step 2
6 • (x - 2) - 2 • (x + 12) = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
4x - 36 = 4 • (x - 9)
Equation at the end of step
4
:
4 • (x - 9) = 0
STEP
5
:
Equations which are never true:
5.1 Solve : 4 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : x-9 = 0
Add 9 to both sides of the equation :
x = 9
One solution was found :
x = 9
here you go
Answer:
6x-12=2x+24
combine like terms
4x-12=24
add 12 on both sides
4x=36
divide by 4
answer is:x=9
Step-by-step explanation:
Thomas was selling tickets to his school play. The tickets cost $5.00 for adults and $2.00 for children. He sold 200 tickets
and collected $610. Which system represents the number of adult and child tickets that Thomas sold?
O x+y=200
5x+2y= 610
o
X+y=610
5x+2y= 200
O x=
X+ y = 200
x+2y=610
O x+y= 200
5x+y=610
Answer:
I believe the answer is A
Step-by-step explanation:
on edge
The required system of equations represents the number of adult and child tickets that Thomas sold is x + y = 210 and 5x + 2y = 610. Option A is correct.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
Let the number of adult tickets is x and the number of children's tickets be y,
According to the quesiton,
The tickets cost $5.00 for adults and $2.00 for children. He sold 200 tickets and collected $610.
So equaiton models as,
x + y = 210
5x + 2y = 610
Thus, the required system of equations represents the number of adult and child tickets that Thomas sold is x + y = 210 and 5x + 2y = 610. Option A is correct.
Learn more about simultaneous equations here:
https://brainly.com/question/16763389
#SPJ6
Please help me I need the answer for this question. correct one please
The vertical cross-sectional shapes of this prism are all congruent triangles.
A. True
B. False
Answer:
false
Step-by-step explanation:
I hope i helped :)
The vertical cross-sectional of a triangular prism gives a quadrilateral shape.
What is a three dimensional shape?A three dimensional shape is a shape that have length, width and height. Example of three dimensional shapes are prism, pyramid, cone, cylinder and so on.
A triangular prism have two triangular bases and three quadrilateral lateral faces
The vertical cross-sectional of a triangular prism gives a quadrilateral shape.
Find out more on three dimensional at: https://brainly.com/question/10557391
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A jar has twenty-three coins consisting of dimes and nickels. The total amount of money is $1.90. How many dimes and nickels are there?
Answer:
8 nickels=.40
15 dimes=1.50
The number of dimes is 15 and the number of nickels is 8.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A container has 23 coins comprising dimes and nickels. The aggregate sum of cash is $1.90.
Let d be the number of dimes and n be the number of nickels. Then the equation is given as,
d + n = 23 ...1
0.1d + 0.05n = 1.90 ...2
From equations 1 and 2, then we have
0.1(23 - n) + 0.05n = 1.90
2.3 - 0.1n + 0.05n = 1.9
0.05n = 0.4
n = 8
Then the number of dimes is given as,
d + 8 = 23
d = 23 - 8
d = 15
The number of dimes is 15 and the number of nickels is 8.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Explain how you know when 2 ratios are proportional.
Answer:
Ratios are proportional when they represent the same relationship.
Step-by-step explanation:
Such as: finding equivalent fractions
Answer:
Ratios are proportional if they represent the same relationship.
Step-by-step explanation
One good way to tell is to make them fractions and then reduce them. If the reduced fractions are the same, you ratio is proportional! Good luck !
Mrs.Jones sells houses. She gets a 7% commission on all sales. How much commission would she earn on a house that sells for $200000?
Answer:
The commission Mrs.Jones gets is 14000 dollars
Answer:
$14,000
Step-by-step explanation:
First, convert the percentage to a decimal and get 0.07. Multiply this by 200,000 and get 14,000. So 7% of 200,000 is 14,000.
The table shows the distance Shannon ran over a week.
Day
Tuesday
Length {km)
5
2
6
Wednesday
1911 DO NOT
Friday
Saturday
How many more kilometers did Shannon run on Friday than on Saturday?
kilometer
PLEASE HELP
Answer:
Shannon run 1.5 km more on Friday than on Saturday.
Step-by-step explanation:
From the given table
Distance run on Friday = 4/2 = 2 kmDistance run on Saturday = 1/2 = 0.5 kmIn order to run how many more kilometers Shannon run on Friday than on Saturday, we need to subtract the distance run on Saturday from the distance run on Friday.i.e.
Friday run - Saturday run = 2 - 0.5
= 1.5 km
Thus, Shannon run 1.5 km more on Friday than on Saturday.