MATHEMATICS HIGH SCHOOL

What is the range of this graph

Answers

Answer 1

Answer:

Answer:

[0,12]

Step-by-step explanation:

2x ( x-4) (x-2)

Step-by-step explanation:

Solve simultaneous equation
2x + 4y = 1
3x-5y=7

Answers

$\left \{ {{2x+4y=1\ \ | *(-3)} \atop {3x-5y=7\ \ | *2}} \right. \n\n \left \{ {{-6x-12y=-3} \atop {6x-10y=14}} \right.\n+----\nadd\ both\ equations\n\n-22y=11\ \ \ | divide\ by\ -22\n\ny=-(1)/(2)\n\n2x=1-4y\ \ | divide\ by\ 2\n\nx=(1-4y)/(2)=(1-4*(-(1)/(2)))/(2) =(3)/(2)$

Final answer:

To solve the simultaneous equations 2x + 4y = 1 and 3x - 5y = 7, we can use the elimination method. Multiply the equations to make the coefficients of x equal, subtract the equations, solve for y, and substitute the value of y in one of the original equations to find x. The solution is x = 3/2 and y = -11/22.

Explanation:

To solve the simultaneous equations:

2x + 4y = 1

3x - 5y = 7

We can use the method of substitution or elimination. Let's use the elimination method.

Multiply the first equation by 3 and the second equation by 2 to make the coefficients of x in each equation the same.
Now, subtract the equations:

(6x + 12y) - (6x - 10y) = 3 - 14

22y = -11

Divide both sides by 22 to solve for y:

y = -11/22

Substitute the value of y in one of the original equations to solve for x:

2x + 4(-11/22) = 1

2x - 2 = 1

2x = 3

x = 3/2

Therefore, the solution to the simultaneous equations is x = 3/2 and y = -11/22.

Learn more about Simultaneous equations here:

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in example 4A,simon raised a total of $25.00 for selling 10 candles.if simon raised $30.00 for selling 10 candles ,would the unit rate be higher or lower explain.

Answers

The unit rate would be higher if Simon raised $30.00 for selling 10 candles.

What is rate ?

In math, a rate is a ratio that compares two different quantities which have different units.

Now given that,

Total candle sold = 10

Total amount of 10 candles = $25.00

Thus, amount per candle = $25/10

⇒ amount per candle = $2.5

Similarly, Total candle sold = 10

Total amount of 10 candles = $30.00

Thus, amount per candle = $30/10

⇒ amount per candle = $3

Now, since total of $30.00 for selling 10 candles is greater than total of $25.00 for selling 10 candles.

Thus, the unit rate would be higher.

Thus, the unit rate would be higher if Simon raised $30.00 for selling 10 candles.

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higher: 25.00÷10=$2.50 and 30.00÷10=$3.00

so the unit rate is higher

Multiply. 2/10 x 20 = Express the product in the simplest formA. 40
B.20
C. 4
D. 1/100

Answers

$(2)/(10) * 20 \n \n (1)/(5) * 20 \ / \ simplify \n \n (20)/(5) \ / \ simplify \n \n 4 \ / \ simplify \n \n$

The final result is C) 4.

Answer:

C. 4

Step-by-step explanation:

2/10*20=4

Which explanation best describes how to solve this problem? Gloria was taking photographs at a waterfall. She deleted 18 photographs. Then, during the hike from the waterfall, she took 13 more. She deleted another 9. Now Gloria has 22 photographs left. How many photographs did Gloria have to begin with?

A.Guess and test. Guess that Gloria had 40 photographs to begin with. Subtract the number she deleted (18) and add the number she took (13). Then subtract the second amount she deleted (9). This gives 26. That is 4 more than 22. Add 4 to your guess. Gloria had 44 photographs to begin with.

B.Draw a diagram. Draw a large circle to represent the photographs Gloria had to begin with. Add 22 dots, 18 dots, and 9 dots to the circle. Cross out 13 dots for the ones she took during the hike. Add all remaining dots to figure out that Gloria started with 36 photographs.

C.Translate into an equation. 18 + 13 + 9 – 22 = b
Gloria had 18 photographs to begin with.

D.Work backward. Start with the number of photographs that Gloria has left (22). Add the photographs that were deleted (18 + 9). Then add photographs that she took during the hike (13).
Gloria had 62 photographs to begin with.