3 years ago

Which expression is equivalent to 3x + 6

Mathematics

1 answer:

Ksju [112]3 years ago

8 0

Answer:

3(x+2)

High Hopes

Barry-

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Find the rate of change

andrezito [222]

Step-by-step explanation:

(x1,y1) = (-1,-1)

(x2,y2) = (2,-2)

m = (y2 - y1)/(x2 - x1)

m = (-2 + 1)/(2 + 1)

m = -1/3

Option → C

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2 years ago

If a cereal box (rectangular prism) has the dimensions of 6 inches by 4 inches by 14 inches, what is the volume?

musickatia [10]

Answer:

the volume is 336

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3 years ago

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Find f(g(x)) and g(f(x)).<br> f(x)=x²-2 and g(x)=√x+1

Archy [21]

Answer:

1. x - 1

2. $\sqrt{x^2-1}$

Step-by-step explanation:

$f(g(x)) = \sqrt{x+1}^2 - 2\\ = x + 1 - 2\\= x - 1$

$g(f(x)) =\sqrt{x^2-2+1}\\ = \sqrt{x^2-1}$

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2 years ago

Diego solved an equation by multiplying both sides of the equation by 6. Then he checked that 6 is the correct solution by subst

Maslowich

I believe your answer would be c

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3 years ago

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Find the approximate area between the curve f(x) = -4x² + 32x and on the x-axis on the interval [0,8] using 4 rectangles. Use th

Doss [256]

Split up the interval [0, 8] into 4 equally spaced subintervals:

[0, 2], [2, 4], [4, 6], [6, 8]

Take the right endpoints, which form the arithmetic sequence

$r_i=2+\dfrac{8-0}4(i-1)=2i$

where 1 ≤ <em>i</em> ≤ 4.

Find the values of the function at these endpoints:

$f(r_i)=-4{r_i}^2+32r_i=-16i^2+64i$

The area is given approximately by the Riemann sum,

$\displaystyle\int_0^8f(x)\,\mathrm dx\approx\sum_{i=1}^4f(r_i)\Delta x_i$

where $\Delta x_i=\frac{8-0}4=2$ ; so the area is approximately

$\displaystyle2\sum_{i=1}^4(-16i^2+64i)=-32\sum_{i=1}^4i^2+128\sum_{i=1}^4i=-32\cdot\frac{4\cdot5\cdot9}6+128\cdot\frac{4\cdot5}2=\boxed{320}$

where we use the formulas,

$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$

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3 years ago