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2 years ago

5

Work out the equation of the line which has a gradient of -2 and passes through the point (1,7)

1 answer:

Ilya [14]2 years ago

5 0

point slope form of a line

y-y1 = m(x-x1)

y-7 = -2 (x-1)

if you want it in slope intercept form

y-7 = -2x +2

add 7 to each side

y = -2x +9

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Find the value of the expression |2x−8| where x=−2.5; 0; 4; 5; 9.5.

Lelu [443]

The absolute value $|x|$ returns the "positive version" of a number. In other words, if $x$ is already positive, then $|x|=x$ . Otherwise, if $x$ is negative, then the absolute value changes its sign, so that it returns positive: $|x|=-x$ .

So, in this case, we have to plug the required values for $x$ in the expression $2x-8$ . Then, if the result is positive we're ok, otherwise we discard the negative sign.

We have:

$x=-2.5 \implies |2x-8| = |-5-8|=|-13|=13$

$x=0 \implies |2x-8| = |0-8|=|-8|=8$

$x=4 \implies |2x-8| = |8-8|=|0|=0$

$x=5 \implies |2x-8| = |10-8|=|2|=2$

$x=9.5 \implies |2x-8| = |19-8|=|11|=11$

5 0

2 years ago

Consider the function represented by 9x+3y=12 with x as the independent variable. How can this function be written using functio

ruslelena [56]

Answer:

f(x)=-3x+4

Step-by-step explanation:

just took the test

4 0

3 years ago

What is 2x + 11y when x = 4 and y = 2?<br><br> A. 30<br><br> B. 38<br><br> C. 48<br><br> D. 136

Alla [95]

The correct answer is A

6 0

3 years ago

Read 2 more answers

What is the average rate of change of f over the interval [3,4]?

masya89 [10]

Answer:

4

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

Here [ a, b ] = [ 3, 4 ] , then

f(b) = f(4) = - 1 ← from table

f(a) = f(3) = - 5 ← from table , then

average rate of change = $\frac{-1-(-5)}{4-3}$ = $\frac{-1+5}{1}$ = 4

3 0

2 years ago

suppose Tinsel Town Videos lowers the price of its movie club membership by 10 percent and as a result, CineArts Videos experien

alexandr402 [8]

Answer: The value of cross price elasticity is 1.6.

Step-by-step explanation:

Since we have given that

Percent change in price = 10%

Percent change in quantity = 16%

So, we need to find the cross price elasticity between the two movie club memberships.

As we know the formula for cross price elasticity :

$\dfrac{\%\text{change in demand}}{\%\text{change in price}}\\\\=\dfrac{16}{10}\\\\=1.6$

Hence, the value of cross price elasticity is 1.6.

7 0

2 years ago