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lawyer [7]
2 years ago
6

%204%29%E2%80%8B%7D" id="TexFormula1" title=" \bold{(10x - 6x³ + 8x²) - (5x² + 12x³ - 4)​}" alt=" \bold{(10x - 6x³ + 8x²) - (5x² + 12x³ - 4)​}" align="absmiddle" class="latex-formula">​
Mathematics
2 answers:
Serjik [45]2 years ago
5 0

Answer:

\boxed{\sf -18x^3+3x^2+10x+4}

Explanation:

\rightarrow \sf (10x - 6x^3 + 8x^2) - (5x^2 + 12x^3 - 4)

distribute

\rightarrow \sf 10x - 6x^3 + 8x^2 - 5x^2 - 12x^3 + 4

collect terms

\rightarrow \sf -6x^3-12x^3+3x^2+10x+4

add similar terms

\rightarrow \sf -18x^3+3x^2+10x+4

barxatty [35]2 years ago
3 0

Answer:

-18x^3+3x^2+10x+4

Step-by-step explanation:

Given:

(10x-6x^3+8x^2)-(5x^2+12x^3-4)

Apply the rule (a) = a:

\implies 10x-6x^3+8x^2-(5x^2+12x^3-4)

\textsf{Use the distributive law} \quad -(a+b)=-a-b:

\implies 10x-6x^3+8x^2-5x^2-12x^3-(-4)

Apply the rule -(-a) = a:

\implies 10x-6x^3+8x^2-5x^2-12x^3+4

Collect like terms:

\implies -6x^3-12x^3+8x^2-5x^2+10x+4

Combine like terms:

\implies -18x^3+3x^2+10x+4

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BabaBlast [244]
Well,

Slope-intercept form is given as follows:
y = mx + b

In this equation, "m" is the slope, and "b" is the y-intercept.

y = 12x + 7

We can clearly see that the 12 in the equation is the "m" in the general slope-intercept form.

Therefore, the slope of the equation is 12.
6 0
3 years ago
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There are 4 circles and 8 squares. What is the simplest ratio of circles to total shapes?​
andre [41]

Answer:

4 : 12

4/ 12

4 to 12

Step-by-step explanation:

5 0
3 years ago
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The base of a circular fence with radius 10 m is given by x = 10 cost, y = 10 sin t. the height of the fence at position (x, y)
antiseptic1488 [7]

The parametric equations for x and y describe a circle of radius 10 m, so the length of the base of the fence is the length of the circumference of a circle of radius 10 m. The formula for that circumference (C) is ...

... C = 2πr

... C = 2π·(10 m) = 20π m

The height as a function of angle (t) is found by substituting for x and y.

... h(t) = h(x(t), y(t)) = 4 + 0.01·((10cos(t))²-)10sin(t))²) = 4+cos(2t)

The average value of this over the range 0 ≤ t ≤ 2π is 4, since the cosine function has two full cycles in that range, and its average value over a cycle is zero.

Thus, the area of one side of the fence is that of a rectangle 20π m long and 4 m wide. That will be

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The amount of paint required to cover both sides of the fence is

... 2×(80π m²)×(1 L)/(10 m²) = 16π L ≈ 50.3 L

_____

You can work out the integral for area as a function of t. When you do, you will find it gives this same result.

5 0
3 years ago
Guyys!! Im helping my lil sister here but I completely forgot it?
iren [92.7K]

Answer:B:72


Step-by-step explanation:

Because you are doing multiplication and division in this problem

5 0
3 years ago
Solve 4 2 + 7) = 16.
Karolina [17]

<u><em>Answer:</em></u>

<u><em>4(2+7)=16</em></u>

<u><em>The answer is:</em></u>

<u><em>36=16</em></u>

<u><em>or</em></u>

<u><em>A</em></u>

<u><em>Hope this helps:3</em></u>

<u><em /></u>

4 0
3 years ago
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