All categories

2 years ago

Which linear function represents the table

Mathematics

1 answer:

Stels [109]2 years ago

3 0

THE ANSWER IS C

y = -2x - 7

I HOPE I HELPED. CAN I GIVE ME BRAINLIEST

You might be interested in

Hi! I need help with the attached question in calc. Thank you:)

Elena L [17]

Answer:

3π square units.

Step-by-step explanation:

We can use the disk method.

Since we are revolving around AB, we have a vertical axis of revolution.

So, our representative rectangle will be horizontal.

R₁ is bounded by y = 9x.

So, x = y/9.

Our radius since our axis is AB will be 1 - x or 1 - y/9.

And we are integrating from y = 0 to y = 9.

By the disk method (for a vertical axis of revolution):

$\displaystyle V=\pi \int_a^b [R(y)]^2\, dy$

So:

$\displaystyle V=\pi\int_0^9\Big(1-\frac{y}{9}\Big)^2\, dy$

Simplify:

$\displaystyle V=\pi\int_0^9(1-\frac{2y}{9}+\frac{y^2}{81})\, dy$

Integrate:

$\displaystyle V=\pi\Big[y-\frac{1}{9}y^2+\frac{1}{243}y^3\Big|_0^9\Big]$

Evaluate (I ignored the 0):

$\displaystyle V=\pi[9-\frac{1}{9}(9)^2+\frac{1}{243}(9^3)]=3\pi$

The volume of the solid is 3π square units.

Note:

You can do this without calculus. Notice that R₁ revolved around AB is simply a right cone with radius 1 and height 9. Then by the volume for a cone formula:

$\displaystyle V=\frac{1}{3}\pi(1)^2(9)=3\pi$

We acquire the exact same answer.

8 0

2 years ago

the excursion boat on the river takes 2 1/2 hours to make the trip to a point 12 miles up stream and to return. If the rate at w

MissTica

Let V, be the rate in still water and let C = rate river current
If the boat is going :
upstream, its rate is V-C and if going
downstream, its rate is V+C,
But V = 5C, then
Upstream Rate: 5C - C = 4 C
Downstream rate: 5C+C = 6C

Time = distance/Rate, (or time = distance/speed) , then:
Upstream time 12/4C and
Downstream time: 12/.6C

Upstream time +downstream time:= 2h30 ' then:

12/4C + 12/.6C = 2.5 hours
3/C + 2/C = 5/2 (2.5 h = 5/2)
Reduce to same denominator :
5C = 10 and Rate of the current = 2 mi/h

4 0

3 years ago

1- (-6k + 6) < 3k +1 + 5k

rjkz [21]

Answer:

k>5/14

Step-by-step explanation:

4 0

3 years ago

Refer to the rectangle below. The length of the rectangle is x + 12. The width of the rectangle is x + 3.

Elis [28]

Answer:

$x^2+15x+36$

Step-by-step explanation:

The complete question is shown in the attachment.

The length of the rectangle is x + 12. The width of the rectangle is x + 3.

Recall that area of a rectangle is $Length \times Width$

In terms of x, the area is $(x+12)(x+3)$

Recall the distributive property of real numbers: $(a+b)(c+d)=a(c+d)+b(c+d)$

We apply this property to get:

$(x+12)(x+3)=x(x+3)+12(x+3)$

We expand again to get:

$(x+12)(x+3)=x^2+3x+12x+36$

We now simplify to obtain:

$(x+12)(x+3)=x^2+15x+36$

The area of the rectangle is $x^2+15x+36$

4 0

3 years ago

Which is closest to the distance between A and B on the number

nata0808 [166]

Answer:

C) 13

Step-by-step explanation:

A on the number line is about -5 and B is 8. Act as if there wasn't a negative sign in front of the 5. Add the two numbers together the get the distance.

7 0

3 years ago