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4 years ago

If f(x) = 3 -3 and g(x) = 3x2 + x – 6, find (f + g)(x).

Mathematics

1 answer:

DanielleElmas [232]4 years ago

3 0

Answer:

Step-by-step explanation:

note that (f + g)(x) = f(x) + g(x) , thus

f(x) + g(x)

= $\frac{x}{2}$ - 3 + 3x² + x - 6 ← collect like terms

= 3x² + $\frac{3}{2}$ x - 9 → D

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ehidna [41]

Breaking down:
$\frac{3}{15} = \frac{1}{5}$
${w}^{6} \div {w}^{2} = {w}^{4}$
${v}^{5} \div v = {v}^{4}$

Therefore,
$\frac{3 {w}^{6} {v}^{5} }{15 {w}^{2}v } \\ = \frac{{w}^{4} {v}^{4} }{5}$

Hope this helps. - M

5 0

3 years ago

A 1080 foot cable weighs 307 pounds. How much will 36 inches of cable weigh? Round to 2 decimal places

noname [10]

Answer:

0.85 pounds

Step-by-step explanation:

1080 foot cable = 307 pounds

36 inches/2.9999988ft = (2.9999988 x 307) / 1080 = 920.9996316/1080 = 0.85277743666 pounds ≈ 0.85 pounds

1 inch = 0.0833333 ft

36 inch = 36 x 0.0833333 = 2.9999988 ft

6 0

4 years ago

In the diagram below of triangle UVW, X is a midpoint of UV and Y is a midpoint

NeTakaya

Step-by-step explanation:

Given: X is midpoint of UV and Y is midpoint of VW.

$\therefore XY || UW$

(By mid-point theorem)

$\therefore \angle XYV \cong \angle UWY\\.. (corresponding\: \angle 's) \\\therefore m\angle XYV = m\angle UWY\\\therefore 98 - 6x = 63- x\\\therefore 98 - 63= 6x- x\\\therefore 35= 5x\\\\\therefore x = \frac{35}{5}\\\\\huge \orange {\boxed {\therefore x = 7}} \\\\m\angle UWY = (63 - x) °\\\\\therefore m\angle UWY = (63 - 7) °\\\\\huge \purple {\boxed {\therefore m\angle UWY = 56 °}}$

5 0

3 years ago

Find the volume of a rectangular prism if the length is 2x, the width is 4x2, and the height is 2x2 + x + 7. Use the formula

Kobotan [32]

$V \\ = 2x \times {4x}^{2} \times ({2x}^{2} + x + 7) \\ = {8x}^{3} ( {2x}^{2} + x + 7) \\ = {16x}^{5} + {8x}^{4} + {56x}^{3}$

Answer is the last option.

Hope this helps. - M

6 0

4 years ago

280 is what percent of 400?

skad [1K]

It would be 70% of 400

490(.7) = 280

4 0

3 years ago

Read 2 more answers