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3 years ago

How to rewrite 11x+13y=8 in slope intercept form

Mathematics

2 answers:

likoan [24]3 years ago

5 0

Answer

y=-\frac{11}{13}x+\frac{8}{13}

Step-by-step explanation:

Anna [14]3 years ago

3 0

Answer:

y = -(11/13)x + (8/13)

Step-by-step explanation:

recall slope intercept form of a linear equation takes the general form:

y = mx + b

In this case, simply rearrange the given equation such that it looks like the general equation above.

11x+13y=8 (subtract 11x from both sides)

13y = -11x + 8 (divide both sides by 13)

y = -(11/13)x + (8/13) (answer)

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Answer:

Step-by-step explanation:

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2 years ago

The maximum value of the function: f(x)= -5 x ^2 +30x-200 is?

VARVARA [1.3K]

Answer:

$\displaystyle - 155$

Step-by-step explanation:

we are given a quadratic function

$\displaystyle f(x) = - 5 {x}^{2} + 30x - 200$

we want to figure out the minimum value of the function

to do so we need to figure out the minimum value of x in the case we can consider the following formula:

$\displaystyle x _{ \rm min} = \frac{ - b}{2a}$

the given function is in the standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

so we acquire:

b=30
a=-5

thus substitute:

$\displaystyle x _{ \rm min} = \frac{ - 30}{2. - 5}$

simplify multiplication:

$\displaystyle x _{ \rm min} = \frac{ - 30}{ - 10}$

simply division:

$\displaystyle x _{ \rm min} = 3$

plug in the value of minimum x to the given function:

$\displaystyle f (3)= - 5 {(3)}^{2} + 30.3 - 200$

simplify square:

$\displaystyle f (3)= - 5 {(9)}^{} + 30.3 - 200$

simplify multiplication:

$\displaystyle f (3)= - 45 + 90- 200$

simplify:

$\displaystyle f (3)= - 155$

hence,

the minimum value of the function is -155

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2 years ago

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3 years ago

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Answer:

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2 years ago