MATHEMATICS HIGH SCHOOL

Solve photo question. Mathematics

Answers

Answer 1

Answer: We can substitute each and check if it gives us the answer 13

1st one:
4(1)+3(6) = 13
4 + 18 = 13
22 ≠ 13
It does not satisfy the equation!

therefore, The last one is the answer after checking them all.

4(4) + 3(-1) = 13
16 - 3 = 13
13 = 13

(4, -1)

Answer 2

Answer: (4,-1). 4x+3y=13. You do 4(4)+3(-1)=13. hope that helps.

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Solve the following problem first using a tape diagram and then using an equation: In a school choir, 1/2 of the members were girls. At the end of the year, 3 boys left the choir, and the ratio of boys to girls became 3:4. How many boys remained in the choir?

Answers

Answer: 9 boys remained in the choir.

Step-by-step explanation:

Let x be the number of of boys and y be the number of girls.

In a school choir, 1/2(half) of the members were girls.

i.e $x=y$ (1)

At the end of the year, 3 boys left the choir, and the ratio of boys to girls became 3:4.

$(x-3)/(y)=(3)/(4)\n\n\Rightarrow\ 4(x-3)=3(y)\n\n\Rightarrow\ 4x-12=3y$

Put y= x from (1), we get

$4x-12=3x\n\n\Rightarrow\ 4x-3x=12\n\n\Rightarrow\ x=12$

Thus , the number of boys : x= 12

Boys remained in the choir = 12-3=9

A number decreased by 18.8 is 77.2 what is the number

Answers

Answer:

97

Step-by-step explanation:

You just add 77.2 + 18.8

Please help me properties of arithmatic

Answers

(6 - 8x) + (-6 + 9x) = (6 - 8x) + (9x + (-6)) = (6 - 8x) + (9x - 6)

Commutative property: a + b = b + a

Commutative is the property .

Select all expressions that are equivalent to 12- 4xA. 4(3 - x)
B.-4(x + 3)
C.-4(3+x)
D. -2(6 -2x)

Answers

I think it’s just A the rest all come out with -12 after being distributed

What is the simplified expression for 5 a b + 9 a b minus a b?

Answers

Answer:

13ab

Step-by-step explanation:

5ab+9ab-ab=ab(5+9-1)=13ab

What is the inverse of the function f(x) = 2x+ 1?A. h(x) = 1/2x -1/2
B. h(x) = 1/2x + 1/2
C. h(x) = 1/2x - 2
D. h(x) = 1/2x + 2

Answers

$f(x) = 2x + 1$

$y = 2x + 1$

Subtract sides -1

$y - 1 = 2x + 1 - 1$

$y - 1 = 2x$

$2x = y - 1$

Divided sides 2

$(2)/(2)x = (y - 1)/(2) \n$

$x = (1)/(2)y - (1)/(2) \n$

Thus ;

${f}^( - 1) = h(x) = (1)/(2)x - (1)/(2) \n$

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Sothecorrect answer is((A)).

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