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2 years ago

I need help I’m bad at math

Mathematics

1 answer:

Alina [70]2 years ago

5 0

If you'd graph this function, you'd see that it's positive on [-1.5,0], and that it's possible to inscribe 3 rectangles on the intervals [-1.5,-1), (-1,-0.5), (-0.5, 1].

The width of each rect. is 1/2.

The heights of the 3 inscribed rect. are {-2.25+6, -1+6, -.25+6} = {3.75,5,5.75}.

The areas of these 3 inscribed rect. are (1/2)*{3.75,5,5.75}, which come out to:

{1.875, 2.5, 2.875}

Add these three areas together; you sum will represent the approx. area under the given curve on the given interval: 1.875+2.5+2.875 = ?

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Determine the coordinates of the point $P$ on the line $y=-x+6$ such that $P$ is equidistant from the points $A(10,-10)$ and $O(

lidiya [134]

Answer:

P=(3,3)

Step-by-step explanation:

We need to find a point P in the line $y=-x+6$ such that $PA=P0$ where $A=(10,-10)$

Observe that the coordinates of P are $(x,y)=(x,-x+6)$ because P is in the line.

Then,

$PA=P0\\(x,-x+6)(10,-10)=(x,-x+6)(0,0)\\10x+(-x+6)(-10)=0\\10x+10x-60=0\\20x=60\\x=3$

We reeplace the value of x in the coordinates of P and obtain the point

$(3,-3+6)=(3,3)=P$

7 0

2 years ago

A. Kalisha made two dozen large buns. She ate 1/2 of a bun and gave her mother and father one each. How many buns does she have

REY [17]

A. Well she starts with 24 buns. She ate 1/2 half of a bun leaving 23 1/2 buns left. Then she gave her mother and father a bun each so you do 23 1/2 - 2 which gets you 21 1/2 buns. So the total number of buns that she has left is 21 and 1/2 buns.

8 0

2 years ago

The area of rectangular field is (49m2-42m+9).Find the dimensions of the field

Drupady [299]

Answer:

The dimensions are (7m-3) by (7m-3)

Step-by-step explanation:

We have the area of the rectangular field to be:

$49 {m}^{2} - 42m + 9$

We need to factorize this expression.

Let us rewrite to obtain:

${(7m)}^{2} - 2(7 \times 3)m + {3}^{2}$

We can easily see that the expression is actually a perfect square trinomial.

This gives us:

$(7m - 3)^{2}$

$(7m - 3)(7m - 3)$

6 0

2 years ago

Plz help ASAP will mark brainlist

Vlad [161]

Answer:

$\huge \boxed{\mathrm{C}}$

Step-by-step explanation:

The domain is the set of all possible values for x.

The function does not cross the line x = 1.

The domain is all real numbers except 1.

The range is the set of all possible values for y.

The function does not cross the line y = 0.

The range is all real numbers except 0.

8 0

3 years ago

A rectangular storage container with an open top is to have a volume of 10 m3. the length of this base is twice the width. mater

BartSMP [9]

Refer to the diagram shown below.

The volume of the container is 10 m³, therefore
x*2x*h = 10
2x²h = 10
h = 5/x² (1)

The base area is 2x² m².
The cost is $10 per m², therefore the cost of the base is
(2x²)*($10) = 20x²

The area of the sides is
2hx + 2(2xh) = 6hx = 6x*(5/x²) = 30/x m²
The cost is $6 per m², therefore the cost of the sides is
(30/x)*($6) = 180/x

The total cost is
C = 20x² + 180/x

The minimum cost is determined by C' = 0.
That is,
40x - 180/x² = 0
x³ = 180/40 = 4.5
x = 1.651
The second derivative of C is
C'' = 40 + 360/x³
C''(1.651) = 120 >0, so x = 1.651 m yields the minimum cost.

The total cost is
C = 20(1.651)² + 180/1.651 = $163.54

Answer: $163.54

7 0

2 years ago