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ElenaW [278]
3 years ago
12

CAN YOU HELP WITH THIS ONE QUESTION , JUST TRYING TO GET BACK ON HONOR ROLL !

Mathematics
1 answer:
Ivanshal [37]3 years ago
6 0

Answer:

B. TRUE.

(3, 2) is the intersection point of the graphs of

x + y = 5 and x - y = 1.

Step-by-step explanation:

Option B is TRUE because intersection point should satisfy both the equation

and in option be it comes true.

i.e x = 3  and y = 2 we have

3 + 2 = 5 and  3 - 2 = 1

5 = 5       and    1 = 1

Hence TRUE

A.

(3, 2) is the intersection point of the graphs of

3x + 2y = 5 and 3x - 2y = 1.

i.e x = 3  and y = 2 we have

3×3 + 2×2 = 5 and 3×3 - 2×2 = 1

13 ≠ 5               and 5 ≠ 1

Hence FALSE

C.

(5, 1) is the intersection point of the graphs of

3x + 2y = 5 and 3x - 2y = 1.

i.e x = 5  and y = 1 we have

3×5 + 2×3 = 5 and 3×5 - 2×3 = 1

21 ≠ 5               and  9 ≠ 1

Hence FALSE

D.

(5, 1) is the intersection point of the graphs of

x + y = 5 and x - y = 1.

i.e x = 5  and y = 1 we have

5 + 1 = 5 and 5 - 1 = 1

6 ≠ 5      and 4 ≠ 1

Hence FALSE

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1) the sum of three consecutive integers even is 3,2,1. find the integers.
BabaBlast [244]

3)The original rational number was 17/12.

4)The age of Ruby and Reshma are 20 and 28 years respectively.

Explanation:

3)Let the numerator be x.

So denominator will be (x - 5)

If we add 5 to numberator then it will be (x + 5)

New number is (x + 5)/(x - 5)=11/6

Solve for X by cross multiplying

6(x + 5)=11(x - 5)

6x + 30=11x - 55

5x=85

x=17

So original rational number was 17/12.

4)The ages of Ruby and Reshma are in the ratio 5:7

So, let the present ages of Ruby and Reshma be 5x and 7x respectively.

Also, it is given that four years from now the ratio of their ages will be 3:4

So, the equation - 5x + 4 / 7x + 3 = 3/4

⇒4(5x+4)=3(7x+4)

⇒20x+16=21x+12

⇒21x−20x=16−12

⇒x=4

⇒5x=20 and 7x=28

The age of Ruby and Reshma are 20 and 28 years respectively.

6 0
2 years ago
X f(x)<br> -2 -1/200<br> -1 -1/20<br> 0 -1/2<br> 1 -5<br> 2 -50
Hitman42 [59]

9514 1404 393

Answer:

  f(x) = -1/2·10^x

Step-by-step explanation:

The y-intercept is -1/2.

The common ratio is (-1/20)/(-1/200) = 10, so the exponential function can be written as ...

  f(x) = -1/2·10^x

6 0
3 years ago
What is the answer to 3k-1=7k+2
Phoenix [80]
Answer is given above

5 0
3 years ago
Read 2 more answers
The length of a rectangle is 11 less than 9 times the width. The
Olin [163]

Answer:

Length = 7   Width = 2

Step-by-step explanation:

L = Length

W = Width

L=9w-11

2L+2W=18

2(9W-11) + 2W = 18

18W - 22 +2W = 18

20W -22 = 18

20W = 40

W = 2

L = 9(2)-11

L=18-11

L=7

8 0
3 years ago
The function f(x) = -6x. The graph of g(x) is f(x)vertically stretched by a factor of 7 and reflected in the x-axis. What is the
Vera_Pavlovna [14]

we are given a function

f(x)=-6x

First translation:

The graph of function  is  vertically stretched by a factor of 7

Whenever we vertically stretch any function  by 'a' units

so, we can write it as

g(x)=a\times f(x)

Here, it is vertically stretch by 7

so, we get

g(x)=7\times -6x

g(x)=-42x

Second translation:

Whenever we reflect  any function  about x-axis

we multiply y-value by -1

so, we can write it as

g(x)=-f(x)

Here , it is reflected in the x-axis

so, we can multiply by -1 to y-value

we get

g(x)=-1\times -42x

g(x)=42x.............Answer


3 0
3 years ago
Read 2 more answers
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