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vfiekz [6]
3 years ago
8

What is 3(x-5)-14=2(x-7)+2

Mathematics
1 answer:
Evgen [1.6K]3 years ago
5 0

Answer: x = 7

Step-by-step explanation:

To solve the equation,

First step, open the bracket

3(x-5)-14=2(x-7)+2

3x -15 -14 = 2x -14 +2

Then, add the like terms

3x - 29 = 2x -16

Transpose the values at the right hand side to the left hand side

3x - 2x = -16 + 29

x = 7

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(Q6) Decide if the function is an exponential function. If it is, state the initial value and the base. y= -4.8·4^x
topjm [15]

Answer:

D

Step-by-step explanation:

Exponential equation takes the form  y=a*b^x  where

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The equation given in the problem can be written as  y=-4.8*4^x, so it is <em>an exponential equation, </em>  where a = -4.8 and b = 4.

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3 years ago
Trapezoid MNPQ is similar to Trapezoid RSTU. What is the length of the "x" on the misside side NP ? Also, what is the length of
ivolga24 [154]

Answer:

x =  15

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Step-by-step explanation:

Given

See attachment for MNPQ and RSTU

Required

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To solve this question, we make use of equivalent ratios of corresponding side lengths.

The ratio of corresponding sides are:

MN : RS

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PQ : TU

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From the attachment, we have:

MN : RS \to 18 : 30

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To solve for x, we equate MN : RS and NP : ST

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Express as fraction

\frac{18 }{ 30 }= \frac{x }{ 25}

Make x the subject

x =  25 * \frac{18 }{ 30 }

x =  \frac{25 * 18 }{ 30 }

x =  \frac{450}{ 30 }

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\frac{18 }{ 30 }= \frac{15 }{ y}

Make y the subject

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y =  \frac{15 *30}{ 18 }

y =  \frac{450}{ 18 }

y =  25

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