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Alexandra [31]
3 years ago
9

Simplify the expression 7×+3(2×-3)-×

Mathematics
1 answer:
aksik [14]3 years ago
3 0

Answer:

12x-9

Step-by-step explanation:

7x+3(2x-3)-x

7x-6x-9-x

13x-9-x

12x-9

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There are 40 markers in a bag. Of the 10 scented markers, 6 are permanent markers. Half of the unscented markers are erasable.
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K12 ANSWER

Step-by-step explanation:

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Express 8.218.218, point, 21 as a mixed number.
Nikolay [14]

Answer:

8 21/100

Step-by-step explanation:

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8 21/100

7 0
3 years ago
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
Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver’s distance for the same section of the
motikmotik

Answer:

The one you chose in the image is correct (A)

7 0
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Really need help with this plsss answer
Nutka1998 [239]
Point slope form is:

y - y_{1} = m(x - x_{1})

With y_{1} and x_{1} being the coordinate points, and m being the slope.

So the coordinate points are (4, -5), and the slope is -6 in this case.

So just substitute everything in, to get:

y - ( -5) = -6(x - 4)

Or

y + 5 = -6 (x - 4)
3 0
3 years ago
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