[tex]\text{Given that,}\\\\(x_1,y_1) = (2, 3) ,~~~ (x_2,y_2) =(-2,-5)\\\\\\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 - x_1} = \dfrac{-5-3}{-2-2} = \dfrac{-8}{-4} = 2\\\\\\\text{Equation with given points,}\\\\y - y_1 = m(x-x_1)\\\\\implies y -3 = 2(x -2)\\\\\implies y -3 = 2x -4\\\\\implies 2x -y = 1[/tex]
Patrick makes chocolate chip cookies. The recipe calls for 1 3/4 cups of flour. If Patrick triples the recipe, how much flour will he need?
A. 3 9/12 cups
B. 4 1/4 cups
C. 3 3/4 cups
D. 5 1/4 cups
Answer: 21/4 or 5 1/4
Step-by-step explanation: sorry for the 21/4 if this is wroNG IM SOOO SORRy if it is..
The sum of the first 10 terms of a linear sequence is 5 and the sumof the next 10 terms is 215. Find the sequence.
Answer:
The first term of the sequence is -8.95 with a common difference of 2.1.
The sequence is:
-8.95, -6.85, -4.75, -2.65...
Step-by-step explanation:
We are given that the sum of the first ten terms of a linear sequence is 5, and the sum of the next ten terms is 215.
And we want to find the sequence.
Recall that the sum of an A.P. is given by:
S = k / 2 ( a + xk)
Where a is the first term, k is the number of terms, and x_k is the last term.
We can represent our term values with the direct formula:
Xn = a + d (n-1)
Where the first term, x₁ = a.
The sum of the first ten terms is 5. Hence, S = 5, k = 10, a = x₁ and x_k = x₁₀:
(5) = 10/2 (a+xk)
5 = 5(a+(a+9d))
2a + 9d = 1
The sum of the next ten terms (that is, from x₁₁ to x₂₀) is 215. Hence, S = 215 when k = 10, a = x₁₁, and x_k = x₂₀:
(215) = (10)/2 (a + xk)
215 = 5((a+d(11-1))+(a+d(20-1)))
2a + 29d = 43
This yields a system of equations:
[tex]\left \{ {{2a+9d=1} \atop {2a+29d=43}} \right.[/tex]
Solve:
(2a + 9d) + (-2a - 29d) = (1) + (-43)
-20d = -42
d = 2.1
Consequently:
a = 1/2(1-9d)
= 1/2(1-9(2.1))
= -8.95
In conclusion, the first term of the sequence is -8.95 with a common difference of 2.1.
The sequence is:
-8.95, -6.85, -4.75, -2.65...
WATER The workers at the plant drink 38 gallons of water per day. Write an equation to find the number of gallons g the workers drink in any number of days d?
What is a trend line in math.
Answer:
Determining if a set of points exhibits a positive trend, a negative trend, or no trend at all.
A trend line, often referred to as a line of best fit, is a line that is used to represent the behavior of a set of data to determine if there is a certain pattern.
use synthetic division to evaluate f(x)=x^3-6x+1 for x=6. f(6)=____
Given: x=6
By substituting value of x as 6 in the given expression, we get:
[tex]f(6) = {x}^{3} - 6x + 1[/tex]
[tex]→f(6) = {6}^{3} + (6 \times 6) - 1[/tex]
[tex]→f(6) = 216 - 36 + 1[/tex]
Now, using integer sign property,
[tex]→f(6) = 216 - 35[/tex]
[tex]→f(6) = 181[/tex]
Therefore, f(6)=181
Solve. −6.6x=−4 What is the solution to the equation? Enter your answer as a simplified fraction in the box. x =
Answer:
20/33
Step-by-step explanation:
i took the test
Answer:
x = 20/33
Step-by-step explanation:
−6.6x = −4
Divide both sides by -6.6
x = -4/(-6.6)
x = 40/66
x = 20/33
Answer: x = 20/33
Select the correct answer.
Which equation has a unit rate greater than the unit rate of the relationship shown in the graph?
7
5
3
3
9
If Lucy runs 1 mile in 6
minutes, how many miles
will she run in 23 minutes?
Is this a function? I don’t think it is but I’m not sure.
Answer:
no
Step-by-step explanation:
Olivia has blue, pink and orange counters in a bag.
The ratio of blue to pink to orange counters is 4:5:2
(a) What fraction of the counters are blue?
(b) What fraction of the counters are orange?
Answer:
A. 4/11
B. 2/11
Step-by-step explanation:
Use the given values to find the fractions (4+5+2=11)
BOWLING A bowling alley charges a flat fee to rent shoes. There is an additional fee for each game played. The function y=2.5x+3
represents the cost y of bowling x games. Interpret the parameters of the function.
find the sum of the first 8 terms of the geometric sequence 2,4,8,16,..
(with solution)
PA HELP PO THANKYOUU
Answer:
I think the common difference is 2. The formula to create the sequence is n (number) is multiplied by 2.
1 x 2 = 2
2 x 2 = 4
4 x 2 = 8
8 x 2 = 16
16 x 2 = 32
32 x 2 = 64
64 x 2 = 128
128 x 2 = 256
256 is the 8th term of the sequence. Since your question says that we should look for the sum, add the number of the sequence I guess.
2 + 4 +8 + 16 + 32 + 64 + 128 + 256 = 510
What is the slope of the line for this question?
Step-by-step explanation:
the slope of the line is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
we have 2 points marked on the chart :
(6, -1) and (9, 3)
x changes by +3 (from 6 to 9)
y changes by +4 (from -1 to 3)
the slope is therefore +4/+3 = 4/3
1/2÷1/2÷1/2÷1/2÷1/2÷1/2÷1/2 solve
Answer:
7
Step-by-step explanation:
I used keep change flip, and repeated the process and got the answer.
Hope this helps! :)
Answer:
1/72
Step-by-step explanation:
1/2÷1/2÷1/2÷1/2÷1/2÷1/2÷1/2
1/2 * 1/2 * 1/2 *1/2 *1/2* 1/2 * 2/1
1/72
Find the value of the variable(s) in each figure explain your reasoning.
Answer:
...............................
In an attempt to predict a single response variable y, three models are estimated. The standard error of the estimate for Model 1 equals 10, for Model 2 equals 100, and for Model 3 equals 1000. According to the standard error of the estimate, which model provides the best fit
simplify-3 divided by (-2/5)
Decimal form: 7.5
Fraction form: 15/2
Improper fraction: 7 1/2
Hope this is enough! :D
Hard cover book lenght in cm
Answer:
f
Step-by-step explanation:
What is the scale factor from ABC to XYZ?
A 1/5
B 1/6
C 5
D 6
Answer:
Is 6
Step-by-step explanation:
5X6=30
3X6=18
4X6=24
Pleaaaaaaaaaaaaaaaaaaaaaaase help me
Answer:
It would be the first one
Step-by-step explanation:
Start at 0 and the end shows 2.5
I need help please brainliest to correct answer
NO BOTSSSS PLEASEEEE
Also if you want fr33 p0!ints go answer my last question
Why are various creative works split up into different types under copyright law?
Some artists look for ways to extend copyright for longer than the laws normally allow. Why do they do this?
What kinds of artists benefit the most from creative commons licenses? Explain your answer.
Why is it useful for students to practice the MLA and APA citation methods?
What kinds of art works can be considered remixes or mashups? Explain your answer.
Answer:
1. The nature of creative work is that it can take almost any form, so the scope of the copyright law was drafted in such a way to take that into account. The categories that works can potentially be protected in are so wide that it’s difficult to imagine what types of creative work are not protected.
2.Some artists look for ways to extend copyright for longer than the laws normally allow. Why do they do this?
3.The Benefits of Using a Creative Commons License Numerous high-profile authors (including futurist Cory Doctorow), artists, musicians (such as the rock band Nine Inch Nails), and even government agencies and entities (including the White House) use Creative Commons licenses. You’ll find many more case studies on the Creative Commons site.
Step-by-step explanation:
Answer:
What kinds of artists benefit the most from creative commons licenses? Explain your answer.
Every license helps creators, they are called licensors if they use our tools retain copyright while allowing others to copy, distribute, and make some uses of their work at least non-commercially. Every Creative Commons license also ensures licensors get the credit for their work they deserve.
what is the answer for k=6x+100
Answer:
x = k/6 - 50/3
Step-by-step explanation:
K=6x+100
--> Swap sides so that all variable terms are on the left hand side.
6x+100=k
--> Subtract 100 from both sides.
6x=k−100
--> Divide both sides by 6.
6x/6 = k-100/6
--> Dividing by 6 undoes the multiplication by 6.
x = k-100/6
--> Divide k−100 by 6.
Answer : x = k/6 - 50/3
Hope this helps you!
What fraction of an hour is 15 minutes?
Give your answer in its simplest form.
Answer:
1/4
Step-by-step explanation:
15/60 = 1/4
Hello there! :)
15 minutes is 1/4 of an hour.
An hour is 60 minutes:
[tex]\frac{}{60}[/tex]
We have 15 minutes:
[tex]\frac{15}{60}[/tex]
Reduce your answer by dividing 15 and 60 by 15:
[tex]\frac{1}{4}[/tex]
Hope this helps!
~Just a determined gal
#CarryOnLearning
Please mark brainliest!!
[tex]Mysterious Nature[/tex]
If y + 6 = 45, then y = 39
Answer:
True!
Step-by-step explanation:
Dan and Paul share some money in the ratio 13:5.
Dan decides this is unfair so he gives Paul £32 of his share to make the ratio 1:1.
How much did Paul originally have?
Answer:
Dan had $104
Paul had $40
Step-by-step explanation:
13x-32=5x+32
8x=64
x=8
8*5=40
13*8=104
17. A store is advertising the following sale:
[Tomato Soup-- 4cans for $0.98]
To the nearest cent, how much would five cans of tomato soup cost? (show work to prove answer)
(A)- $0.25
(B)- $1.23
(C)- $2.45
(D)- $4.90
Answer:
Step-by-step explanation:
Answer:
(B)
Step-by-step explanation:
4 cans - $0.98
1. $0.98/4 = $0.245 will cost 1 can
2. $0.245 × 5 = $1.225 will cost 5 cans
so $1.225 = $1.23
so the answer is B
How to synthetically divide polynomials.
Answer:
Write down the problem. For this example, you will be dividing x3 + 2x2 - 4x + 8 by x + 2. Write the first polynomial equation, the dividend, in the numerator and write the second equation, the divisor, in the denominator.
Reverse the sign of the constant in the divisor. The constant in the divisor, x + 2, is positive 2, so reversing the sign of the constant would give you -2.
Since the opposite of the constant term is -2, we put the -2 inside a box. A common mistake is to put a 2 inside the box, watch out here.
Write all of the coefficients of the dividend inside the division symbol. [2] Write the terms from left to right, just as they appear. It should look like this: -2| 1 2 -4 8.
Bring down the first coefficient. Bring down the first coefficient, 1, below itself. It should look like this:
-2| 1 2 -4 8
↓
1
Multiply the first coefficient by the divisor and place it under the second coefficient.[3] Simply multiply 1 by -2 to get -2 and write this product under the second term, 2. Here's how it would look:
-2| 1 2 -4 8
-2
1
Add the second coefficient and the product and write the answer below the product. Now take the second coefficient, 2, and add it to -2. The result is 0. Write this result below the two numbers, just as you would in long division. Here's how it would look:
-2| 1 2 -4 8
-2
1 0
Multiply this sum by the divisor and place the result under the third coefficient. Now take the sum, 0, and multiply it by the divisor, -2. The result is 0. Place this number below 4, the third coefficient. It should look like this:
-2| 1 2 -4 8
-2 0
1
Add the product and the third coefficient and write the result under the product. Add 0 and -4 to get -4 and write this answer below the 0. Here's how it would look:
-2| 1 2 -4 8
-2 0
1 0 -4
Multiply this number by the divisor, write it under the last coefficient, and add it to the coefficient. Now, multiply -4 by -2 to get 8, write this answer under the fourth coefficient, 8, and add this answer to the fourth coefficient. 8 + 8 = 16, so this is your remainder. Write this number below the product. Here's how it would look:
-2| 1 2 -4 8
-2 0 8
1 0 -4 |16
Place each of the new coefficients next to a variable of one less power than their original corresponding variables. In this case, the first sum, 1, is placed next to an x to the second power (one less than three). The second sum, 0, is placed next to an x, but the result is zero, so you can remove this term. And the third coefficient, -4, becomes a constant, a number without a variable, since the original variable was x. You can write an R next to the 16, because that is the remainder. Here's how it would look:
-2| 1 2 -4 8
-2 0 8
1 0 -4 |16
x2 + 0x - 4 R 16
x2 - 4 R16
Write the final answer. The final answer is the new polynomial, x2 - 4, plus the remainder, 16, over the original divisor, x + 2. Here's how it would look: x2 - 4 +16/(x +2).
Step-by-step explanation:
That was quite long, but those are the steps to synthetically divide polynomials.
C=pi/2 what is the area?
Answer:
A=1
Step-by-step explanation:
The formula to find the area of a circle is πr^2, meaning that you divide the diameter in half which is 1. So 1^1 is one. The area would be one.
Hope this helps :)
The area would be one, is, A=1.
What is area of circle?The area of a circle is π multiplied by the square of the radius. The area of a circle, (A) when the radius 'r' is given is πr2. π is approximately 3.142
here, we have,
C=pi/2
The formula to find the area of a circle is πr^2,
meaning that you divide the diameter in half which is 1.
So 1^1 is one.
The area would be one.
To learn more on area of circle click:
brainly.com/question/22964077
#SPJ2
How do you know it is positive or negative in exponents.
A bakery can make 4 cheesecakes for every 5 blocks of cream cheese. Which table represents the relationship between the number of cheesecakes the bakery makes and the number of blocks of cream cheese the bakery uses?
Answer:
where is the picture of the tables?
Step-by-step explanation: