Answer:
y + 8 = 2x + 2
Step-by-step explanation:
Use the points given to find the slope. Divide the difference in y-values by the difference in x-values.
(-1) - (-7) = 6
5 - (-8) = 3
6/3 = 2
The slope is 2.
Now, pick one of the points to put in point-slope form. It doesn't matter which. You will get the right answer either way. I will use (-1, -8).
y - y₁ = m(x - x₁)
y - (-8) = 2(x - (-1))
y + 8 = 2(x + 1)
y + 8 = 2x + 2
HELP ASAPPPPP Becca is using a sheet of scrapbook paper with a width of x inches, and a length of 2x inches. She cut off one inch of both the length and the width. What is the area ( in square inches) of the newly cut paper, in terms of x?
Answer:
52 square in
Step-by-step explanation:
x2 is 25 by 50
The area of the new rectangle in terms of x is 2x² - 3x + 1 sq inches.
What are the area and perimeter of a rectangle?The area of a rectangle is the product of its length and width.
The perimeter of a rectangle is the sum of the lengths of all the sides.
We know the area of a rectangle is (length×width).
Given, A paper with a width of x inches, and a length of 2x inches.
So, The area is (x×2x) sq inches.
= 2x² sq inches.
Now, he cut off one inch of both the length and the width which is,
= (x - 1)(2x - 1) sq inches.
= 2x² - x - 2x + 1 sq inches.
= 2x² - 3x + 1 sq inches.
learn more about rectangles here :
https://brainly.com/question/29123947
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What’s the number between -6 and -7 on a number line
Answer: -6.5
Step-by-step explanation:
To find the number between them,find their average or mean .
-6 + -7 = -13
-13/2 = -6.5
The number between them is -6.5
12. Higher order Thinking is the Product of two irrational numbers always an irrational number ? Explain
Answer:
Not always but sometimes
Step-by-step explanation:
The product of two irrational numbers is sometimes and not always an irrational number.
So, Let us take two Example:
Example # 1:
Let the two irrational numbers be [tex]\sf \sqrt{37} \ and \ \sqrt{2}[/tex]
So, Multiplying these will give us
=> [tex]\sf \sqrt{37} * \sqrt{2}[/tex]
=> [tex]\sf \sqrt{74}[/tex]
Which is an irrational number.
Example # 2:
Let the two irrational numbers be [tex]\sf \sqrt{2} \ and \ \sqrt{2}[/tex]
So, Multiplying them would give us:
=> [tex]\sf \sqrt{2} * \sqrt{2}[/tex]
=> [tex]\sf (\sqrt{2} )^2[/tex]
=> 2
Which is a rational number.
This means that the product of two irrational numbers is not always an irrational number but sometimes an irrational number.
Compete the equatuon descibing how x and y are related
The difference of two times a number and three
Answer:
2n - 3
Step-by-step explanation:
The difference of implies a subtraction between two terms. Two times a number, implies some number being multiplied by two. Hence, we can build the expression:
2n - 3
Where n represents the unknown number.
Cheers.
Prove that the EOQ cost function can be rewritten as
g(Q) = h/2 * Q(Q - underroor 2K/h) + underroot 2Kh
Use this to prove without using calculus.
Answer:
the EOQ cost function [tex]\mathbf{g(Q)= \dfrac{h}{2 \lambda Q}( Q- \sqrt{\dfrac{2 \lambda K }{2}})^2 + \sqrt{\dfrac{2 h K}{\lambda}}}[/tex]
Step-by-step explanation:
Given that:
[tex]g(Q) = \dfrac{h}{2 \lambda Q} \begin {pmatrix} Q- \sqrt{\dfrac{2 K \lambda}{h}} \end {pmatrix}^2 + \sqrt{\dfrac{2 Kh}{\lambda}}[/tex]
Total cost = Purchase Cost + Ordering Cost + Holding Cost
i.e
T = [tex]P \lambda + h \dfrac{Q}{2}+\dfrac{\lambda K}{Q}[/tex]
By differentiating with respect to Q and equating to zero, we have:
[tex]0 = 0 +\dfrac{h}{2}- \dfrac{\lambda K}{Q^2}[/tex]
[tex]Q* = \sqrt{\dfrac{2 k \lambda}{h}}[/tex]
Now;
[tex]T = P \lambda + \dfrac{h}{2Q}(Q-Q^*)^2 + hQ^*[/tex]
[tex]T = \dfrac{h}{2Q}(Q- \sqrt{\dfrac{2 \lambda K}{h}})^2 + \sqrt{2 hK \lambda } + P \lambda[/tex]
[tex](\dfrac{T - P \lambda}{\lambda }) = \dfrac{h}{2 \lambda Q}( Q- \sqrt{\dfrac{2 \lambda K }{2}})^2 + \sqrt{\dfrac{2 h K}{\lambda}}[/tex]
Therefore:
the EOQ cost function [tex]\mathbf{g(Q)= \dfrac{h}{2 \lambda Q}( Q- \sqrt{\dfrac{2 \lambda K }{2}})^2 + \sqrt{\dfrac{2 h K}{\lambda}}}[/tex]
Find the missing number to make the average correct. The average of 11, 17, 18, and ? is 17.
Answer:
The missing number is:
22
Step-by-step explanation:
There are 3 numbers and one more
4 numbers and your average is 17
then:
17*4 = 68
then:
11 + 17 + 18 + a = 68
46 + a = 68
a = 68 - 46
a = 22
Check:
(22 + 11 + 17 + 18)/4 = 17
68/4 = 17
it 3x - 2 = 7, then 3x = 9
is an example of the ?
Answer:
Addition Property of Equality
Step-by-step explanation:
So we had:
[tex]3x-2=7[/tex]
And then we got:
[tex]3x=9[/tex]
We did this by adding 2 to both sides of the equation. When we added 2, the left side cancelled and the right side equated to 9:
[tex](3x-2)+2=(7)+2\\3x=9[/tex]
Since we added 2 to both sides, this is an example of the addition property of equality.
3(2x-1)=4x+12 what value of X satisfies the equation above
Answer:
[tex]x = \frac{15}{2} \\\\x =7\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]3\left(2x-1\right)=4x+12\\\\\mathrm{Expand\:}3\left(2x-1\right):\quad 6x-3\\6x-3=4x+12\\\\\mathrm{Add\:}3\mathrm{\:to\:both\:sides}\\6x-3+3=4x+12+3\\\\Simplify\\6x=4x+15\\\\\mathrm{Subtract\:}4x\mathrm{\:from\:both\:sides}\\6x-4x=4x+15-4x\\\\Simplify\\2x =15\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2x}{2}=\frac{15}{2}\\\\Simplify\\x = 15/2[/tex]
Answer:
[tex]7\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]3(2x-1)=4x+12\\[/tex]
Use 3 to open the bracket
[tex]3(2x-1) = 6x -3\\\\ 6x-3 = 4x+12\\[/tex]
Collect like terms and simplify
[tex]6x-4x = 12+3\\2x = 15[/tex]
Divide both sides of the equation by 2
[tex]\frac{2x}{2} = \frac{15}{2} \\\\x = \frac{15}{2} = 7\frac{1}{2}[/tex]
Mark is three times as old as Julie. The sum of their ages is 56. How old is Mark? If J = Julie's age and M = Mark's age, which system of equations could be used to solve the problem? 3J = M and J + M = 56 J = 3M and J + M = 56 J = 3M and JM = 56
Answer:
Mark is 42. 3J = M and J + M = 56
Step-by-step explanation:
Since Mark is 3 times as old as Julie, and the sum of their ages is 56, you could divide 56 by 4 (one time because of Julie’s age, the other 3 times because of how many times Mark is older than Julie) You would get 14. That means that Julie is 14. To find Mark’s age, you would multiply 14 (Julie’s age) by 3. The answer would be 42.
Find the area and perimeter of the rectangle Length = 5cm Breadth =2cm
Answer:
perimeter: 14
Area: 10
Step-by-step explanation:
PERIMETER
2x(L+B) = 2x(5+2) = 2x(7) = 14
AREA
LxB = 5x2 = 10
PLEASE MARK ME BRAINLIEST
30 points, help would be appreciated :)
Answer:
the answer is 77°
Step-by-step explanation:
26 +51 is 77 and they're opposite angles
Select all the properties that can be used to solve 7y – 15 = –29. Group of answer choices Distributive Property Commutative Property of Addition Identity Property of Multiplication Inverse Property of Multiplication Addition Property of Equality
Answer:
Property of Equality
Y= -13/7
Step-by-step explanation:
7y – 15 = –29.
Applying rule of equality which is"anything done on one side of the equal sign should be done also on the other side of the equal sign"
7y – 15 = –29.
Adding 15 to both sides
7y - 15+15= -28+15
7y= -13
Dividing throughout by 7
7y/7= -13/7
Y= -13/7
Can someone help my son with this it’s homework and he don’t understand it
Hey there! I think the answer is (-1,3)
I need help with this question
6^2-3*(3^2*2)+5
Answer:
-13
Step-by-step explanation:
Simplify the following:
6^2 - 3×3^2×2 + 5
3^2 = 9:
6^2 - 3×9×2 + 5
9×2 = 18:
6^2 - 318 + 5
6^2 = 36:
36 - 3×18 + 5
-3×18 = -54:
36 + -54 + 5
| 1 |
| 3 | 6
+ | | 5
| 4 | 1:
41 - 54
41 - 54 = -(54 - 41):
-(54 - 41)
| 5 | 4
- | 4 | 1
| 1 | 3:
Answer: -13
How many ways can you choose seven people from a group of twenty?
Answer:
77520 according to google
Which value of x is a solution of the equation 4(x + 3)- 10 = 6(x - 2)?
Answer:
X=7
Step-by-step explanation:
4(x+3) - 10=6 ( x-2)
multiply
4x +12 - 10 = 6x - 12
4x + 2 = 6x- 12
subtract the positive 2 to the -12
4x = 6x -14
subtract 6x to the 4x
-2x = -14
divide -2 from the -14 (neg divided by a neg = positive)
x= 7
Can some body please help me with #12 pleassssssse T^T
Demitrius deposited $41.67, which was 60% of his paycheck.
Using this, we can make an equation.
If x is the amount of his paycheck,
[tex]0.6x=41.67[/tex]
[tex]x=69.45[/tex]
The value of the paycheck was $69.45.
Hope this helps.
頑張って!
HELP ASAP!!! To make a quiche, you need 1 tablespoon of butter for every 6 eggs. Write a ratio that compares these two quantities. Which ratios are equivalent to this ratio? Check all that apply. StartFraction 12 eggs Over 2 tablespoons EndFraction StartFraction 15 eggs Over 3 tablespoons EndFraction StartFraction 24 eggs Over 4 tablespoons EndFraction StartFraction 9 eggs Over 1.5 tablespoons EndFraction
Answer:
Options A, C and D.
Step-by-step explanation:
It is given that, we need 1 tablespoon of butter for every 6 eggs to make a quiche.
Ratio that compares these two quantities [tex]=\dfrac{6\text{ eggs}}{1\text{ tablespoons} }[/tex]
We need to find the ratios which are equivalent to this ratio.
[tex]\dfrac{6\text{ eggs}}{1\text{ tablespoons} }\times \dfrac{2}{2}=\dfrac{12\text{ eggs}}{2\text{ tablespoons} }[/tex]
[tex]\dfrac{6\text{ eggs}}{1\text{ tablespoons} }\times \dfrac{3}{3}=\dfrac{18\text{ eggs}}{3\text{ tablespoons} }\neq \dfrac{15\text{ eggs}}{3\text{ tablespoons} }[/tex]
[tex]\dfrac{6\text{ eggs}}{1\text{ tablespoons} }\times \dfrac{4}{4}=\dfrac{24\text{ eggs}}{4\text{ tablespoons} }[/tex]
[tex]\dfrac{6\text{ eggs}}{1\text{ tablespoons} }\times \dfrac{1.5}{1.5}=\dfrac{9\text{ eggs}}{1.5\text{ tablespoons} }[/tex]
Therefore, the correct options are A, C and D.
Answer:
A,C,D
HOPE THIS HELPS!
Determine whether each point lies on the graph of the equation.(a) 2x - y - 3 = 0 (a) (1, 2)Yes, the point is on the graph.No, the point is not on the graph.(b) (1, -1)Yes, the point is on the graph.No, the point is not on the graph.
Answer:
a) (1, 2) not on the graph.
b) (1, -1) is on the graph.
Step-by-step explanation:
Given the equation of the line as:
[tex]2x - y - 3 = 0[/tex]
The points given are
a) (1, 2)
To determine whether it is on the graph of the line or not.
To do so, we can do 2 things:
1. Draw the graph and plot the point on the graph to check whether it is on the graph or not.
2. To put the point in the given equation of the line, whether the equation is satisfied or not.
For method 1: Kindly refer to the attached image of the line and point plotted.
Method 2:
Let us put [tex]x=1, y=2[/tex] in the Left Hand Side (LHS) of equation.
[tex]2\times 1 - 2 - 3\\\Rightarrow -3 \neq 0 , RHS[/tex]
(1, 2) Not on the graph.
(b) (1, -1)
For method 1: Kindly refer to the attached image of the line and point plotted.
Method 2:
Let us put [tex]x=1, y=-1[/tex] in the Left Hand Side (LHS) of equation.
[tex]2\times 1 - (-1) - 3\\\Rightarrow 3-3 = 0 = RHS[/tex]
(1, -1) is on the graph.
x-c= y-rd, for x . . . . . . . . . . . . . .
Answer:
x = y - rd + c
Step-by-step explanation:
x - c = y -rd
x = y - rd + c
HELP ASAP ILL GIVE YOU ALL!!! What is the coefficient of (6x^2-4x-5)-
Answer:
32x-5
Step-by-step explanation:
6x^2-4x-5
36x-4x-5
32x-5
2r-6+5r=3-r+7
pls explain how you get the answer. thanks
Answer:
r=2
Step-by-step explanation:
2r-6+5r=3-r+7
7r-6=10-r
7r+r=10-6
8r=16
r=2
Al terminar de pintar la puerta de su recamara Gerardo observó que le quedaron 3/4 de litro de pintura, sí utilizó 5/8 de litro en pintar, ¿cuánta pintura tenía antes de empezar a pintar?
Answer: Tenias 1 3/8 de litros.
Step-by-step explanation:
Necesitas de sumar lo que quedo y lo que uso Gerardo, pero el 8 y el 4 necesitan de ser iguales. Si multiplicas 4x2 te da 8 y serían iguales. As lo mismo con el tres: 3x2 y te da 6. Suma el 6 por 5 y te da 11/8. Simplifica y te dará 1 litro y 3/8.
90 POINTS & Brainliest Is the following relation a function? Two circles are shown, one labeled x and the other labeled y. The x circle contains the numbers 6, negative 2, 4, and negative 1. The y circle contains the numbers 2, negative 2, and 1. Arrows map numbers from x to numbers from y. There are arrows going from 6 to negative 2, from negative 2 to 2, from 4 to 1, and from negative 1 to 1. Yes
Using the numbers you have :
6 to -2
-2 to 2
4 to 1
-1 to 1
This is a function.
An input can only have one output, but an output can have multiple inputs.
We can make a table with the values we are given.
6 and -2
4 and -1
2 and 2
-2 and 1
Since no x-value repeats itself, it is a function. To make a function, no x-values can be repeated.
Best of Luck!
What is the domain for the green segment in the piecewise function
below? *
y
6
Х
1-8
1-4/
o
4
8
6
- 12
-18
1-24
O (-10,10)
O (2,10)
O 13,10]
O (1,9)
Answer:
(2,10)
Step-by-step explanation:
The x value for the green segment starts at 2 and ends at 10
Which of the following Expressions has a coefficient of 10 and a constant of 5?
Answer:
10r + 5
Step-by-step explanation: This is the correct answer also i just got my answer wrong lol for reals this is the correct answer
Answer:
its 10x + 5
Step-by-step explanation:
what number is the opposite of -24
Answer:
+24 is the opposite of -24 I think
Step-by-step explanation:
Hope it will help ^_^
Solve: 2x + 4 = 12. Show your work!
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 4}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{2x + 4 = 12}[/tex]
Move 4 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{2x = 12 - 4}}[/tex]
Subtract 4 from 12
[tex] \dashrightarrow{ \sf{2x = 8}}[/tex]
Divide both sides by 2
[tex] \dashrightarrow{ \sf{ \frac{2x}{2} = \frac{8}{2} }}[/tex]
Calculate
[tex] \dashrightarrow{\sf{x = 4}}[/tex]
Hope I helped!
Best regards! :D
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
[tex]2x+4=12[/tex]
To solve this equation, first we must minus out(subtract) 4 from both sides of the equation.
[tex]2x+4-4=12-4[/tex]
This equals [tex]2x=8[/tex]
Now we will make this into a fraction and divide the sides by 2.
[tex]\frac{2x}{2}[/tex] equals to [tex]\frac{8}{2}[/tex]
Now we got an answer!
[tex]x=4[/tex]
Hope this helps!
The tempature in Frwnoo is 71.8.
Round this temp. to nearest whole number.
Answer:
72
Step-by-step explanation:
Round to nearest whole number.
71.8 is rounded to 72.
72 is the answer to your question.