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Dovator [93]
2 years ago
11

Solve the following: a) 4x-3 = 2x + 7 b) 2x+6=7x14

Mathematics
1 answer:
Igoryamba2 years ago
6 0

\huge \qquad \qquad \sf \underline{Answer}

\textbf {Let's Solve :}

<h3>Question 1 :</h3>

  • \textsf{4x - 3 = 2x +7}

  • \textsf{4x -2x = 3 +7}

  • \textsf{2x = 10}

  • \textsf{x=5}

<h3>Question 2 :</h3>

  • \sf{2x + 6 = 7 \times 14}

  • \sf{2x + 6 = 98}

  • \sf{2x  = 98-6}

  • \sf{2x = 92}

  • \sf{x=46}

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A tennis ball bounces based on this equation y = x2 - x+2. A dog jumps based on this equation y=2x.
valentina_108 [34]

Answer: when the equations are equal, that is when  x = 1 or x = 2

Step-by-step explanation:

The dog will receive the ball , when both equations intercept , that is , when both equations are equal. This implies :

x^{2} - x + 2 = 2x

x^{2} - x - 2x + 2 = 0

x(x-1) - 2 (x - 1 ) = 0

(x - 1 ) ( x - 2 ) =0

Therefore , x = 1 or x = 2

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3 years ago
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Answer:

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Step-by-step explanation:

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When these data are graphed on a coordinate grid, the points all lie on the same line. What are the slope and y-intercept of thi
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I know this is late but here

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6 0
3 years ago
10.4 sweets cost 28p altogether,<br> how much much do 7 sweets cost
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Given (21,7) and (x,<br> 1), find all x such that the distance between these two points is 17.
Dmitriy789 [7]

Answer:

21+/-sqrt(253)=x

So one value for x is 21+sqrt(253)

and another is 21-sqrt(253)

Problem:

Given (21,7) and (x,1), find all x such that the distance between these two points is 17.

Step-by-step explanation:

Change in x is x-21

Change in y is 7-1=6

distance^2=(change in x)^2+(change in y)^2

17^2=(x-21)^2+(6)^2

289=(x-21)^2+36

Subtract 36 on both sides:

289-36=(x-21)^2

253=(x-21)^2

Take square root of both sides:

+/-sqrt(253)=x-21

Add 21 on both sides:

21+/-sqrt(253)=x

6 0
3 years ago
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