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3 years ago

A function is given. f(x) = 5x − 7; x = 2, x = 3 (a) determine the net change between the given values of the variable.

Mathematics

1 answer:

const2013 [10]3 years ago

7 0

There is one more value of x between 2 and 3, multiplied by 5, so 5 is the net change between the two variables.

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Circles M and K are congruent and QR is congruent to LN. Find QR

ddd [48]

At first, we need to find x.

QR = LN

2x+1 = 3x-7

x=8

Substitute value of a=8 into QR = 2x+1.

QR = 2*8+1 = 17

QR =17

5 0

3 years ago

four families go to the cinema. the reid family take 2 adults and 2 children for £18 ; the mghee family take 1 senior, 2 adults

RoseWind [281]

Answer:

$\pounds 26.50$

Step-by-step explanation:

Let

x = cost for one adult

y = cost for one child

z = cost for one senior.

The Reid family:

take 2 adults and 2 children and paid $2x+2y$ that is $\pounds 18$ , so

$2x+2y=18$

The Mghee family:

take 1 senior, 2 adults and 1 child and paid $x+2x+y$ that is $\pounds 18.50$ , so

$x+2x+y=18.50$

The Griffiths family:

take 1 senior and 3 adults and paid $z+3x$ that is $\pounds 19.50$ , so

$z+3x=19.50$

You get the system of three equations:

$\left\{\begin{array}{l}2x+2y=18\\ \\z+2x+y=18.50\\ \\z+3x=19.50\end{array}\right.$

From the first equation:

$2y=18-2x\\ \\y=9-x$

From the third equation:

$z=19.50-3x$

Substitute them into the second equation:

$19.50-3x+2x+9-x=18.50\\ \\-3x+2x-x=18.50-19.50-9\\ \\-2x=-10\\ \\2x=10\\ \\x=5$

Then

$y=9-5=4\\ \\z=19.50-3\cdot 5=19.50-15=4.50$

Hence,

the cost for one adult is $\pounds 5$

the cost for one child is $\pounds 4$

the cost for one senior is $\pounds 4.50$

The Linton family takes 1 senior, 2 adults and 3 children and paid

$\pounds 4.50+2\cdot \pounds 5+3\cdot \pounds 4=\pounds 26.50$

3 0

3 years ago

3 3/4 divide 2 1/12 sssss

dybincka [34]

3 3/4 divide 2 1/12 = 1.8

8 0

3 years ago

Need help asappp special right triangle

Korvikt [17]

Answer:

your answer is 30

Step-by-step explanation:

p to r is 15

p to q is 15 beacuse these lines are the same

and 15 plus 15 is 30

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2 years ago

Use the number line to answer the questions that follow

pychu [463]

Answer:

A. make a point on the line to the right 2 units from 0

B. the opposite of 2 isn't located at the same place as point P on the number line because the opposite of 2 is -2 and the point P is the opposite of negative 2 which would be positive 2. So the two points are not in the same place because they have different signs.

Step-by-step explanation:

hope this helps

I know the wording is a bit complicated lol <3

5 0

2 years ago