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igomit [66]
3 years ago
9

Zahra wants the equation below to have an infinite number of solutions when the missing number is placed in the box. Box (x minu

s 3) + 2 x = negative (x minus 5) + 4 Which number should she place in the box?
Mathematics
1 answer:
Margarita [4]3 years ago
3 0

Answer:

Below

Step-by-step explanation:

Let y be the missing number inside the box. The equation is:

●y( x-3)+2x= -(x-5)+4

● y (x-3) +2x = -x+5+4

● y (x-3) +2x = -x+9

● y (x-3) +2x+x = 9

●y(x-3)+3x =9

● yx-3y+3x= 9

●yx-3y+3x-9=0

●y(x-3) +3(x-3) =0

● (x-3)(y+3) = 0

●x-3=0 or y+3=0

●x=3 or y = -3

●x=3 or -y = 3

Add them together

● x-y = 6

●x=6+y

● y =6-x

So the number we should put in the box is 6-x

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Please help me out with this!!
galina1969 [7]

Answer:

see explanation

Step-by-step explanation:

Given

x + \frac{1}{2} ≤ - 3 or x - 3 > - 2

Solve the left and right inequalities separately, that is

x + \frac{1}{2} ≤ - 3 ( isolate x by subtracting \frac{1}{2} from both sides )

x ≤ - 3 - \frac{1}{2}, that is

x ≤ - \frac{6}{2} - \frac{1}{2}, thus

x ≤ - \frac{7}{2}

OR

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x > 1

Solution is

x ≤ - \frac{7}{2} or x > 1

7 0
3 years ago
The rectangular prism is to be sliced perpendicular to the shaded face and is to pass through point B, parallel to the front fac
kodGreya [7K]

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<u></u>

Step-by-step explanation:

As ,we know

<u>The rectangular cross section is parallel to the front face</u>

Which clearly states that

The dimensions of the rectangular  cross section is congruent with the dimensions of the front face

Lets assume that  dimensions of the front face are 10 centimeters by 18 centimeters

<u>Then ,The dimensions of the cross section will also be  10 centimeters by 18 centimeters</u>

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<u>Hence we can say that the</u> dimensions of the rectangular cross section will be<u> 10 centimeters by 18 centimeters</u>

4 0
3 years ago
9. Ms. Ortiz sells tomatoes wholesale. The function p(x)=–80x2 + 320x – 10, graphed below,
labwork [276]

Answer:

<u>The correct answer is B. $310 at $2 per kilogram</u>

Step-by-step explanation:

1. Let's find out the maximum profit Ms. Ortiz can make with a loaf of tomatoes:

function p(x)=–80x² + 320x – 10

For x = 1, price per kilogram of tomatoes would be: 4 - x = 3

–80x² + 320x – 10, replacing with x = 1

-80 * 1² + 320 * 1 - 10 = -80 + 320 - 10 = 230

For x = 2 price per kilogram of tomatoes would be: 4 - x = 2

–80x² + 320x – 10, replacing with x = 2

-80 * 2² + 320 * 2 - 10 = -320 + 640 - 10 = 310

For x = 3, price per kilogram of tomatoes would be: 4 - x = 1

–80x² + 320x – 10, replacing with x = 3

-80 * 3² + 320 * 3 - 10 = -720 + 960 - 10 = 230

<u>The correct answer is B. $310 at $2 per kilogram</u>

7 0
2 years ago
Which statement about perpendicular lines is false?
Alex_Xolod [135]
The statement that is false about perpendicular lines is that the never intersect, making the answer equal to C.
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3 years ago
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Answer:

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Step-by-step explanation:


5 0
3 years ago
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