[tex] y=-\dfrac{2}{3}x+2\\\\\left(-\dfrac{2}{5};\ \dfrac{34}{15}\right)\to x=-\dfrac{2}{5};\ y=\dfrac{34}{15}\\\\for\ x=-\dfrac{2}{5}\to y=-\dfrac{2}{3}\cdot\left(-\dfrac{2}{5}\right)+2=\dfrac{4}{15}+2=\dfrac{4}{15}+\dfrac{30}{15}=\dfrac{34}{15}\\CORRECT\\\\\left(\dfrac{7}{2};\ \dfrac{13}{3}\right)\to x=\dfrac{7}{2};\ y=\dfrac{13}{3}\\\\for\ x=\dfrac{7}{2}\to y=-\dfrac{2}{3}\cdot\dfrac{7}{2}+2=-\dfrac{7}{3}+2=-\dfrac{7}{3}+\dfrac{6}{3}=-\dfrac{1}{3}\neq\dfrac{13}{3}\\INCORRECT [/tex]
[tex] \left(\dfrac{1}{8};\ \dfrac{23}{12}\right)\to x=\dfrac{1}{8};\ y=\dfrac{23}{12}\\\\for\ x=\dfrac{1}{8}\to y=-\dfrac{2}{3}\cdot\dfrac{1}{8}+2=-\dfrac{1}{12}+2=-\dfrac{1}{12}+\dfrac{24}{12}=\dfrac{23}{12}\\CORRECT\\\\\left(\dfrac{8}{3};\ \dfrac{2}{3}\right)\to x=\dfrac{8}{3};\ y=\dfrac{2}{3}\\\\for\ x=\dfrac{8}{3}\to y=-\dfrac{2}{3}\cdot\dfrac{8}{3}+2=-\dfrac{16}{9}+2=-\dfrac{16}{9}+\dfrac{18}{9}=\dfrac{2}{9}\neq\dfrac{2}{3}\\INCORRECT [/tex]
Answer: (-2/5,34/15) and (1/8,23/12).
Betsy bought 6 bags of rice weighing a total of 30 lb. What is the rate of number of bags to pounds?
1/24
5/30
1/5
6/24
Answer:
1/5 is the correct answer :)
Step-by-step explanation:
I'm reading a book with 19 chapters. How many chapters should I read each week if I want to finish the book in 5 weeks or less?
please show hw you got your answer, and please show which one is the correct one. (coupon A or coupon B).
please tell why it is correct and please show how you got your answer.
Thank You!
Good luck!
what is 6-2(x+3)=10-3x
Cheri took out a loan for $14,350. The loan term was 3 years and Cheri’s payments were $625.77 per month. Since Cheri had filed for bankruptcy several years prior, she ended up paying a higher interest rate. With a better credit rating, her payments could have been $431.21 per month. How much more in interest did Cheri end up paying for her loan because of her bankruptcy? a. $5,836.80 b. $2,334.72 c. $8,624.16 d. $7,004.16
Need help again just on number 3
Which number is a solution of the inequality 7x-5>-2? ( by the way that sign is supposed to be a less than or equal to)
A.-3
B.-1
C.0
D.1
Final answer:
The correct answer to the inequality 7x - 5 ≥ -2 is D. 1, since 1 is greater than 3/7 and thus satisfies the inequality.
Explanation:
To solve the inequality 7x - 5 ≥ -2, we need to isolate x. Follow these steps:
Add 5 to both sides of the inequality to cancel out the -5 on the left: 7x ≥ 3.
Divide both sides by 7 to solve for x: x ≥ 3/7.
Now we need to determine which of the provided options is a solution to the inequality. We have:
A. -3 (which is less than 3/7)
B. -1 (which is also less than 3/7)
C. 0 (which is again, less than 3/7)
D. 1 (which is greater than 3/7, making it a solution to the inequality)
The correct answer is D. 1 because it satisfies the given inequality.
Driving from Chester to Boxerville, you see a sign that says you have seven miles to go. If the total length of the trip is 45 miles, how many miles have you already traveled?
What is the unknown quantity in the example?
x2 − x − 6 x2 = x − 6 2x + 2x + 12 x After multiplying each side of the equation by the LCD and simplifying, the resulting equation is .
Answer:
The answer to the second question is a.)x=-6 and x = -2/3
Step-by-step explanation:
Which expression is equivalent to 2x - 17? A) -17 + 2x B) -2x + 17 C) -2x - 17 D) 17 + 2x
Which phrase best describes what this graph demonstrates
The answer IS "A) This graph shows that both chlorophyll a and chlorophyll b absorb some higher energy light as well as some lower energy light"
I will give you all the answer to the test
asnwer Mitochondria
Q] Why do the cells in all living things need energy?
A]To fuel their chemical reactions
Q]What process takes place in chloroplast?
A] photosynthesis
Q}which option is a balanced equation for cellular respiration
A} C6H12O6+6O2->6CO2+6H2O
Find the side length of a square with the given area. 121in(2 Exponent)
A.) 11 Inches.
B.) 60.5 Inches.
C.) 1,331 Inches.
D.) 14,641 Inches.
Answer:
A.) 11 inches
Step-by-step explanation:
There's a couple of ways to do this. If you know how to take a square root, use this way: [tex]\sqrt{121}[/tex] is equal to [tex]\sqrt{11*11}[/tex]. So that would mean that [tex]\sqrt{121} = \sqrt{11^{2} }[/tex]. Canceling it out (the square root of a square equals the original base), it equals 11. So the side length would be 11 inches.
Remember, we know the AREA and need to find the side length, so this is why we don't square 121 to get 14,641. 121 is the area and not the side length.
Hope this helps.
NEED HELP ASAP! 34 POINTS!
Test each set of equivalent ratios to find which set of values describes the proportional relationship of the two quantities.
40.5 ounces of nuts to 48.6 ounces of raisins
A) (5, 7)(60, 84)(47, 65.8)
B) (36, 48.6)(2, 2.7)(12, 16.2)
C) (3, 3.9)(65, 84.5)(24, 31.2)
D) (11, 13.2)(99, 118.8)(20, 24)
Guys, this is 40 points! Please help me. I need it.
2. The line segment graphed on the coordinate plane represents a roof with several triangular supports. Each support is triangular, with a horizontal board that starts on the edge of the roof and connects with a vertical board that ends on the edge of the roof as shown.
(a) Does each support have the same starting coordinates? Explain.
(b) Does each support have the same ending coordinates? Explain.
(c) Does each support have the same change in x-values? Explain.
(d) Does each support have the same change in y-values? Explain.
(e) Does each support have the same ratio of change in y-values over change in x-values? Explain.
Answer:
a) No, the first support starts at (0,0) and the 2nd one starts at (2,1)
b) No, first one ends at (2,1) 2nd one ends at (6,3)
c) No, 2 ( 0 to 2) does not equal 4 ( 2 to 6)
d) No, 1 ( 0 to 1) does not equal 2 (1 to 3)
e) Yes, this is the slope of the diagonal line: 1/2
Answer:
(a) No
(b) No
(c) No
(d) No
(e) Yes
Step-by-step explanation:
(a) No, they don’t. The starting position for the small triangle is (0,0). The starting position for the large triangle is (2,1).
(b) No, they don’t. The ending position for the small triangle is (2,1). The ending position for the large triangle is (6,3).
(c) No, they don't. 2 - 0 doesn't equal 6 - 2.
(d) No, they don't. 1 - 0 does not equal 3 - 1
(e) Yes, they do. 3-1/6-2 = 2/4 = 1/2
math question down below
Jennifer wrote the expression: (2x3 + 3x2 + 2x – 4) – (x3 – 2x2 – x – 1). What is the simplified form of this expression?
Francis is making cookies. The recipe for chocolate chip cookies calls for 2 2/3 cups of flour, the recipe for peanut butter calls for 2.75 cups,and the recipe for ginger snaps calls for 5/2 cups. If Francis wants to use as little flour as possible, which cookie should he make? Explain your reasoning.
George said if 2 and 4 are factors of the number, then 8 is a factor of the number. Is he correct?
Finn is baking cakes for a party. The number of cups of sugar Finn needs is proportional to the number of cakes he plans to bake. Which statements are true about the number of cups of sugar Finn needs? Select each correct answer.
Answer: Finn needs 6 cups of sugar for 4 cakes
Finn needs 1 1/2 cups of sugar for 1 cake
Step-by-step explanation:
i took the test
Deshawn fuels 2 yachts and 6 barges. Each boat gets 126 gallons of fuel. To find how much fuel he needs for all the boats, deshawn first findsthe number of boats, then he uses an algorithm to multiply. Which are the three partial products deshawn could add to find the final product?
Deshawn, who fuels 2 yachts and 6 barges each with 126 gallons of fuel, can find the total fuel needed by calculating and summing three partial products; 800, 160 and 48, derived from breaking down the multiplication of 8 (total boats) and 126 (gallons per boat). The combined total is 1008 gallons.
Explanation:Deshawn needs to fuel 2 yachts and 6 barges, making a total of 8 boats. Each boat requires 126 gallons of fuel. Deshawn's algorithm for determining the total fuel required involves finding three partial products to multiply.
If we break down the multiplication of 8 (total boats) and 126 (gallons per boat), into three parts we get:
Multiplying 8 by 100 to get 800. Multiplying 8 by 20 (part of the 26 in 126) to get 160. Finally, multiplying 8 by 6 (the units digit in 126) to get 48.
These are the three partial products that Deshawn could add together (800 + 160 +48) to find the total fuel needed which is 1008 gallons.
Learn more about Partial Product Multiplication here:
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What number can you add to π to get a rational number?
PLEASE HELP thank you :P
Solution:
As we know π is an irrational number.The value of π is non terminating non repeating.
As we all know , π =[tex]\frac{\text{Circumference of circle}}{\text{Diameter}}[/tex],
The fact is still we are getting an irrational number.
As , 0 is a rational number.
So, The number which when added to π, to get a rational number is (-π).
Answer → π + (-π) = 0, i.e (-π) is that number.
125 ×5 - 25 + 10 =
a 520
b 610
c 1100
Which expression has a value of 7?
a.[(29-18)+(17+8)] divide by 6
b. [(29-18)+(17-8)] divided by 4
c. [(29+18)-(17+8)] divided by 2
d. [(29+18)+(17-8)] divided by 8
The diameter of a small gear is 16 cm. This is a 2.5 cm more than 1/4 of the diameter of a large gear. What is the diameter of the large gear? Round to the nearest cm.
A fish with 68 meters at a constant speed in 8 minutes. On her homework assignment, Tracy said the fish traveled 60 meters per minute. Morgan said the fish travel 8.5 meters per minute. Which of the following explains why either Tracy or Morgan is the correct?
W = 3x + 7y solve for y
Answer:
The value of the equation [tex]y=\frac{W-3x}{7}[/tex].
Step-by-step explanation:
Consider the provided equation.
[tex]W = 3x + 7y[/tex]
We need to solve the provided equation for y.
Subtract 3x from both side.
[tex]W-3x= 3x-3x+ 7y[/tex]
[tex]W-3x=7y[/tex]
Divide both sides by 7.
[tex]\frac{7y}{7}=\frac{W-3x}{7}[/tex]
[tex]y=\frac{W-3x}{7}[/tex]
Hence, the value of the equation is [tex]y=\frac{W-3x}{7}[/tex].
To solve the equation W = 3x + 7y for y, subtract 3x from both sides and then divide by 7 to isolate y, resulting in the solution y = (W - 3x) / 7.
To solve for y in the equation W = 3x + 7y, we need to isolate y. First, we subtract 3x from both sides of the equation so that the terms with y are on one side:
W - 3x = 3x + 7y - 3x
This simplifies to:
W - 3x = 7y
Next, we divide both sides of the equation by 7 to solve for y:
(W - 3x) / 7 = y
Therefore, the solution for y in terms of W and x is y = (W - 3x) / 7.
30,840 in expanded form?
Calculate the product. 45.67×32.58
for fhg find the measure of the smallest angle <hfg if m<ghf equals 92 degrees and m<hgf equals 72 degrees
The correct answer is:
16°.
Explanation:
The sum of the measures of the angles of a triangle is 180°. The two angles we have are 92° and 72°; together, these total to
92+72 = 164
This leaves us
180-164 = 16° for the remaining angle of the triangle.
To find the measure of the smallest angle
To find the measure of the smallest angle <hfg in triangle FHG, we need to use the fact that the sum of the angles in a triangle is 180 degrees. We are given that m<ghf = 92 degrees and m<hgf = 72 degrees. To find <hfg, subtract the measures of the other two angles from 180: 180 - 92 - 72 = 16 degrees. Therefore, the measure of the smallest angle <hfg is 16 degrees.
Learn more about Finding the measure of angles in a triangle here:https://brainly.com/question/31613708
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Sanjay begins to correctly graph the function f(x) = (x + 1)2 – 3. Based on the axis of symmetry and the vertex, which graph could be Sanjay’s?