All categories

3 years ago

What is the graph of the solution to the following compound inequality?

Mathematics

1 answer:

ohaa [14]3 years ago

3 0

Answer:

Step-by-step explanation:

<, > - open circle

≤, ≥ - solid circle

<, ≤ - draw to the left

>, ≥ - draw to the right

$3-x\geq2\qquad\text{subtract 3 from both sides}\\\\-x\geq-1\qquad\text{change the signs}\\\\\boxed{x\leq1}\\\\4x+2\geq10\qquad\text{subtract 2 from both sides}\\\\4x\geq8\qquad\text{divide both sides by 4}\\\\\boxed{x\geq2}$

You might be interested in

I WILL GIVE YOU BRAINLY PLSS <br><br><br> Worth 19 points

Pavel [41]

Answer:

942

Step-by-step explanation :

so your d is 300 so your r = 300/2= 150

a=3.14*r*r= 3.14*150*150= 70650

c= 3.14*d= 3.14*300= 942

_________________________________________________

The curved surface area of solid cylinder is

As we are given that:

Diameter of solid cylinder = 8 cm

Length or Height o solid cylinder = 140 cm

Formula used to calculate the curved surface area of cylinder is:2n x h

Curved surface area of cylinder =2r x h

where,

r = radius of cylinder

h = height or length of cylinder

Radius of cylinder = daimeter

Now putting all the given values in above formula, we get:

Curved surface area of cylinder = 2x 22/7 x 140cm

Curved surface area of cylinder = $3520cm^{2}$

Therefore, the curved surface area of solid cylinder is3520cm^{2}

8 0

3 years ago

Read 2 more answers

Use the mid-point rule with n = 4 to approximate the area of the region bounded by y = x3 and y = x. (10 points)

USPshnik [31]

See the graph attached.

The midpoint rule states that you can calculate the area under a curve by using the formula:
$M_{n} = \frac{b - a}{2} [ f(\frac{x_{0} + x_{1} }{2}) + f(\frac{x_{1} + x_{2} }{2}) + ... + f(\frac{x_{n-1} + x_{n} }{2})]$

In your case:
a = 0
b = 1
n = 4
x₀ = 0
x₁ = 1/4
x₂ = 1/2
x₃ = 3/4
x₄ = 1

Therefore, you'll have:
$M_{4} = \frac{1 - 0}{4} [ f(\frac{0 + \frac{1}{4} }{2}) + f(\frac{ \frac{1}{4} + \frac{1}{2} }{2}) + f(\frac{\frac{1}{2} + \frac{3}{4} }{2}) + f(\frac{\frac{3}{4} + 1} {2})]$
$M_{4} = \frac{1}{4} [ f(\frac{1}{8}) + f(\frac{3}{8}) + f(\frac{5}{8}) + f(\frac{7}{8})]$

Now, to evaluate your f(x), you need to look at the graph and notice that:
f(x) = x - x³

Therefore:
$M_{4} = \frac{1}{4} [(\frac{1}{8} - (\frac{1}{8})^{3}) + (\frac{3}{8} - (\frac{3}{8})^{3}) + (\frac{5}{8} - (\frac{5}{8})^{3}) + (\frac{7}{8} - (\frac{7}{8})^{3})]$

$M_{4} = \frac{1}{4} [(\frac{1}{8} - \frac{1}{512}) + (\frac{3}{8} - \frac{27}{512}) + (\frac{5}{8} - \frac{125}{512}) + (\frac{7}{8} - \frac{343}{512})]$

M₄ = 1/4 · (2 - 478/512)
= 0.2666

Hence, the <span>area of the region bounded by y = x³ and y = x</span> is approximately 0.267 square units.

6 0

3 years ago

What is the slope-intercept form of a line that contains the point (0,3) and a slope =-2?

rosijanka [135]

Answer:

Step-by-step explanation:

-2 is in front of x so thats gonna be the slope

and +3 is the y-intercept

5 0

3 years ago

the metal in a penny is worth about 0.505 cents how many cents is this written as a fraction in simplest form

aivan3 [116]

Hello,

505/1 000 = ( 505 / 5 ) / ( 1 000 / 5 ) = 101/200

Bye :)

5 0

2 years ago

⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ a(1)=−13 a(n)=a(n−1)+4 Find the 2nd2^{\text{nd}} 2 nd 2, start superscript, start text, n, d, end text, end su

Fofino [41]

Answer:

a(2) = -9

Step-by-step explanation:

It looks like you want the 2nd term in the arithmetic sequence defined by the recursive formula ...

a(1) = -13
a(n) = a(n -1) +4

Using the formula with n=2, we have ...

a(2) = a(1) +4

a(2) = -13 +4 . . . . substitute the value of a(1)

a(2) = -9

8 0

3 years ago