MATHEMATICS HIGH SCHOOL

What equation is solved by the graphed systems of equations?a. 3x + 4 = 5x - 10
b. 3x - 4 = 5x - 10
c. 3x + 4 = 5x + 10
d. 3x - 4 = 5x + 10
What equation is solved by the graphed systems of equations? - 1

Answers

Answer 1
Answer: The solution on the graph is (x,y)=(7,25), so x=7.

a. \n3x+4=5x-10 \n3x-5x=-10-4 \n-2x=-14 \nx=(-14)/(-2) \nx=7 \n \nb. \n3x-4=5x-10 \n3x-5x=-10+4 \n-2x=-6 \nx=(-6)/(-2) \nx=3 \n \n c. \n3x+4=5x+10 \n3x-5x=10-4 \n-2x=6 \nx=(6)/(-2) \nx=-3 \n \nd. \n 3x-4=5x+10 \n3x-5x=10+4 \n-2x=14 \nx=(14)/(-2) \nx=-7

x=7 in the equation a, so the answer is A.

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CSCx (1 + SINx) = 1 + CSCx

prove the identity

Answers

Remember that the cosecant is the reciprocal of the sine.  CSC(x) = 1/SIN(x).

Now operate on the left side, and see if you can make it look like the right side:

CSCx (1 + SINx)

Substitute for CSCx :

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Multiply them:

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Tom gets $12 off a box of chocolates that had an original $48. what percentage is the discount?

Answers

The discount price is the amount off by the discount divided by the original price.

12 / 48 = .25

The discount is 25% off.
Hope that helped =)
$12 
original price $48.

12 ÷ 48 = .25

Turn to percent:-

.25 × 100 = 25
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25% was the percentage discount. 

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Answers

f\circ g=f(g(x))\n\nf\circ g=3(x+1)=3x+3

What is the solution to the inequality 75 greater-than StartFraction x over 15 EndFraction?x 1,125
x 5

Answers

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Step-by-step explanation:

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Solve the system of equations 3x+2y=14 2x-4y=4

Answers

3x + 2y = 14....multiply by 2
2x - 4y = 4
----------------
6x + 4y = 28 (result of multiplying by 2)
2x - 4y = 4
----------------add
8x = 32
x = 32/8
x = 4

2x - 4y = 4
2(4) - 4y = 4
8 - 4y = 4
-4y = 4 - 8
-4y = -4
y = -4/-4
y = 1

solution is (4,1)

Manny has 28 chapters in a book to read. He reads 7 chapters each week. How many weeks will it take for Manny to read the book?

Answers

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