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VMariaS [17]
2 years ago
5

Factor the polynomial by grouping : x^3+5x^2-6x-30

Mathematics
1 answer:
andrew-mc [135]2 years ago
4 0

The idea is to pair up the terms, factor each sub-group, and then pull out the overall GCF to fully factor.

x^3+5x^2-6x-30

(x^3+5x^2)+(-6x-30)

x^2(x+5)+(-6x-30)

x^2(x+5)-6(x+5)

(x^2-6)(x+5)

-------------

Answer: (x^2-6)(x+5)

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Vladimir buys 1.20 pounds of Skittles, 312 pounds of M&Ms, and 5.2 pounds of pretzels. If the candy cost $1.20 a pound and t
BlackZzzverrR [31]

Answer: $10.90

Step-by-step explanation:

Skittles-1.44

M&M's-3.744

Pretzels-5.72

Not sure if its a typo, thats if theres 3.12lbs of of M&M's

The answer is theres 312 M&M's is 374.4

6 0
3 years ago
A bird flies from the bottom of a canyon that is 71 4/5 feet below sea level to a nest that is 875 7/10 feet above sea level. Wh
Rainbow [258]

The difference in elevation between the bottom of the canyon and the​ bird's nest is 947 1/2 feet

<h3>What is the difference in elevation between the bottom of the canyon and the​ bird's nest?</h3>

The given parameters are:

Nest = 71 4/5 feet above the seal level

Bottom of canyon = 875 7/10 below sea level

Below sea level means negative

So, we have:

Nest = 71 4/5 feet

Bottom of canyon = -875 7/10

The difference in elevation between the bottom of the canyon and the​ bird's nest is calculated as

Difference = |Nest - Bottom of canyon|

This gives

Difference = |71 4/5 - (-875 7/10)|

Evaluate the difference

Difference = |947 1/2|

Remove the absolute bracket

Difference = 947 1/2

Hence, the difference in elevation between the bottom of the canyon and the​ bird's nest is 947 1/2 feet

Read more about depth at:

brainly.com/question/17147411

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8 0
1 year ago
Identify the value of x that makes each pair of ratios
TEA [102]
C
5 is 1/3 of 15 and 1 is 1/3 of 3 so C would be correct
5 0
3 years ago
Write each expression as a single power of 10​
swat32

Answer:

<u>It</u><u> </u><u>is</u><u> </u>

<u>{10}^{5}</u>

Step-by-step explanation:

\frac{ {10}^{4}. {10}^{5}  . {10}^{6} }{ {10}^{3} . {10}^{7} }  =  \frac{ {10}^{(4 + 5 + 6)} }{ {10}^{(3 + 7)} }  \\  \\  =  \frac{ {10}^{15} }{ {10}^{10} }  \\  \\  =   {10}^{(15 - 10)}  \\  =  {10}^{5}

3 0
3 years ago
The area of a trapezium is 384cm². Its parallel sides are in the ratio3 : 5 and the perpendicular distance between them is 12 cm
Pani-rosa [81]
Area of trapezium=384 square cm
Ratio of parallel sides=
Distance between parallel sides=h=12 cm
5 0
3 years ago
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