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Igoryamba
3 years ago
14

Find the area of the rectangle

Mathematics
1 answer:
aksik [14]3 years ago
4 0
Hope it works for you

You might be interested in
Assume that f is continuous on [-4,4] and differentiable on (-4,4). The table gives some values of f'(x) x: -4, -3, -2, -1, 0, 1
kondaur [170]
f will be increasing on the intervals where f'(x)>0 and decreasing wherever f'(x). Local extrema occur when f'(x)=0 and the sign of f'(x) changes to either side of that point.

f'(x) is positive when x is between -4 and some number between -2 and -1, and also 2 (exclusive) and 4, so you can estimate that f(x) is increasing on the intervals [-4, -2] and (2, 4].

f'(x) is negative when x is between some number between -2 and -1, up to some number less than 2. So f(x) is decreasing on the interval [-1, 1].

You then have two possible cases for extrema occurring. The sign of f'(x) changes for some x between -2 and -1, and again to either side of x=2.
4 0
3 years ago
An equation parallel and perpendicular to 4x+5y=19
UNO [17]

Answer:

Parallel line:

y=-\frac{4}{5}x+\frac{9}{5}

Perpendicular line:

y=\frac{5}{4}x-\frac{1}{2}

Step-by-step explanation:

we are given equation 4x+5y=19

Firstly, we will solve for y

4x+5y=19

we can change it into y=mx+b form

5y=-4x+19

y=-\frac{4}{5}x+\frac{19}{5}

so,

m=-\frac{4}{5}

Parallel line:

we know that slope of two parallel lines are always same

so,

m'=-\frac{4}{5}

Let's assume parallel line passes through (1,1)

now, we can find equation of line

y-y_1=m'(x-x_1)

we can plug values

y-1=-\frac{4}{5}(x-1)

now, we can solve for y

y=-\frac{4}{5}x+\frac{9}{5}

Perpendicular line:

we know that slope of perpendicular line is -1/m

so, we get slope as

m'=\frac{5}{4}

Let's assume perpendicular line passes through (2,2)

now, we can find equation of line

y-y_1=m'(x-x_1)

we can plug values

y-2=\frac{5}{4}(x-2)

now, we can solve for y

y=\frac{5}{4}x-\frac{1}{2}


4 0
3 years ago
if x-1 is a factor of P(x)=x^3- 5x^2 + 7x-3 which of the following represents the complete factorization for P(x)?​
kozerog [31]

Answer:

P(x) =  (x-1)² (x-3)

Step-by-step explanation:

P(x)=x³- 5x² + 7x-3 = x² (x-1) - 4x(x-1) + 3(x-1) = (x²-4x+3)(x-1)

P(x) = (x-1)(x-3)(x-1) = (x-1)² (x-3)

3 0
3 years ago
Last year, a lighting supplier called Bright Idea shipped a total of 37,220 lamps to its distributors. This year, the supplier s
fredd [130]

Answer:

25%

Step-by-step explanation:

Given data

Last years shipment= 37220  lamps

These years shipment= 29776 lamps

% Decrease= Initial-Final/Initial*100

% Decrease= 37220-29776/29776*100

% Decrease= 7444/29776*100

% Decrease= 0.25*100

% Decrease= 25%

Hence the decrease is 25%

7 0
2 years ago
Mark is online buying songs to download to his smart phone. He has a $20 gift card. He sees that there is a one time fee of $10
Rashid [163]

Answer:

20 - 10 = 10 - 1.99 = 8.00

Step-by-step explanation:

sorry if it's wrong brainliest plzzzzzzzzzzzzzzzzzzzzz

7 0
2 years ago
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