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2 years ago

Find the cube root of 27d3 + 54a2b + 36ab2 + 8b3

Mathematics

1 answer:

enot [183]2 years ago

8 0

Answer:

(3a + 2b)3

Step-by-step explanation:

STEP 1 :

Equation at the end of step 1

(((27•(a3))+((54•(a2))•b))+(36a•(b2)))+23b3

Step 2:

(((27•(a3))+((54•(a2))•b))+(22•32ab2))+23b3

Step 3:

(((27•(a3))+((2•33a2)•b))+(22•32ab2))+23b3

Step 4:

((33a3 + (2•33a2b)) + (22•32ab2)) + 23b3

Step 5:

Factoring: 27a3+54a2b+36ab2+8b3

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On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 1) and (3, 0). Everything above

Charra [1.4K]

Answer:

$y\geq\frac{1}{3}x-1$

Step-by-step explanation:

A solid straight line has a positive slope and goes through (0, negative 1) and (3, 0)

<em>Find the slope of the solid line</em>

$m=(0+1)/(3-0)\\\\m=\frac{1}{3}$

The equation of the solid line in slope intercept form is equal to

$y=mx+b$

we have

$m=\frac{1}{3}$

$b=-1$ ---> given problem

substitute

$y=\frac{1}{3}x-1$

Everything above and to the left of the line is shaded

so the inequality is equal to

$y\geq\frac{1}{3}x-1$

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2 years ago

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1. Greg Forrester's charge account statement showed a previous balance 20 points

Slav-nsk [51]

Answer:

Option $152.19

Step-by-step explanation:

Data provided in the question:

Previous balance = $152.35

Finance charge = $1.78

New purchases of $45.23 and $15.67

Payment = $50.00

Credit = $12.84

Now,

New Balance

= [Previous balance + Finance charge + New purchases ] - [ Payments + Credits ]

= [ $152.35 + $1.78 + ($45.23 + $15.67) ] - [$50.00 + $12.84 ]

= $215.03 - $62.84

= $152.19

Hence,

Option $152.19

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2 years ago

Charlie reads quickly. He reads 1\dfrac371 7 3 1, start fraction, 3, divided by, 7, end fraction pages every \dfrac23 3 2 st

OLEGan [10]

<h2>Answer:</h2>

The number of pages he will read in one minute is:

$2\dfrac{1}{7}\ \text{pages}$

<h2>Step-by-step explanation:</h2>

It is given that:

Charlie reads $1\dfrac{3}{7}\ \text{pages}$ in every $\dfrac{2}{3}\ \text{minutes}$ .

We know that:

$1\dfrac{3}{7}=\dfrac{10}{7}$

This means that:

Charlie reads $\dfrac{10}{7}\ \text{pages}$ in every $\dfrac{2}{3}\ \text{minutes}$ .

This means that:

$\text{In}\ \dfrac{2}{3}\ \text{minutes he reads}\ \dfrac{10}{7}\ \text{pages}\\\\\text{Hence}$

$\text{In}\ 1\ \text{minute he will read}\ \dfrac{\dfrac{10}{7}}{\dfrac{2}{3}}\ \text{pages}$

$\text{In}\ 1\ \text{minute he will read}\ \dfrac{10\times 3}{7\times 2}\ \text{pages}$

Hence,

$\text{In}\ 1\ \text{minute he will read}\ \dfrac{15}{7}\ \text{pages}$

Hence,

$\text{In}\ 1\ \text{minute he will read}\ \dfrac{15}{7}\ \text{pages}$

$\text{In}\ 1\ \text{minute he will read}\ 2\dfrac{1}{7}\ \text{pages}$

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2 years ago

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VashaNatasha [74]

Answer:

3.0

Step-by-step explanation:

1(0.1) + 2(0.2) + 3(0.3) + 4(0.4) = 3.0

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2 years ago

There are 25 trees on the Jackson’s property. Twenty percent of the trees are oak trees. Which equation can be used to find the

ahrayia [7]

Answer:

StartFraction 25 divided by 1 Over 20 divided by 1 EndFraction = StartFraction 25 Over 20 EndFraction

Step-by-step explanation:

Number of trees = 25

Percentage of aok trees = 20%

To obtain the Number of oak trees :

(Number of trees ÷ 1) ÷ (percentage ÷1)

(25 / 1) ÷ (20 / 1) = (25 /1) * (20 / 1) = 25 / 20

StartFraction 25 divided by 1 Over 20 divided by 1 EndFraction = StartFraction 25 Over 20 EndFraction

8 0

2 years ago

Find the cube root of 27d3 + 54a2b + 36ab2 + 8b3​

Find the cube root of 27d3 + 54a2b + 36ab2 + 8b3