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chubhunter [2.5K]
3 years ago
15

Factor by grouping 6v^3-14v^2+15v-35

Mathematics
1 answer:
spayn [35]3 years ago
6 0

Answer:

(3v-7)(2v^2+5)

Step-by-step explanation:

To factor 6v^3-14v^2+15v-35 by grouping we are going to try pair to up the pair two terms and also the last two terms. Like this:

(6v^3-14v^2)+(15v-35)

Now from each we factor what we can:

2v^2(3v-7)+5(3v-7)

Now there are two terms: 2v^2(3v-7) and 5(3v-7).

These terms contain a common factor and it is (3v-7).

We are going to factor (3v-7) out like so:

2v^2(3v-7)+5(3v-7)

(3v-7)(2v^2+5)

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in a classroom of 1/6 of the students were wearing blue and 2/3 are wearing white there are thirty six students in the class how
jeyben [28]

Answer:

6

Step-by-step explanation:

1/6 of 36=6

2/3 of 36= 24

24+6=30

36-30=6

5 0
3 years ago
A cone with volume 5000 m^3 is dilated by a scale factor of 1/5
user100 [1]

ANSWER

The volume of the dilated cone is

40 {m}^{3}

EXPLANATION

The volume of the given cone is

5000 {m}^{3}

When this cone is dilated with a scale factor of 1/5, the volume of the dilated cone becomes,

({ \frac{1}{5} })^{3}  \times 5000 {m}^{3}

We simplify to obtain:

{ \frac{1}{125} }\times 5000 {m}^{3}

This gives us:

40 {m}^{3}

4 0
4 years ago
A tape diagram. 0 dollars is 0 percent. Question mark dollars is 35 percent. 49 dollars is 100 percent.
Leno4ka [110]
$31.85
$49 multiply by .35 = 17.15
$49-17.15 = $31.85
8 0
3 years ago
Read 2 more answers
The value of y varies inversely as the square of x, and y=4, when x=3.
Andrei [34K]

The value of x when y = 9 is x = 2 or x = -2

<em><u>Solution:</u></em>

Given that value of y varies inversely as the square of x, and y=4, when x=3.

Therefore the initial statement is:

y \propto \frac{1}{x^{2}}

To convert to an equation, multiply by k, the constant  of variation

y = k \times \frac{1}{x^2}

y = \frac{k}{x^2}  --- eqn 1

Given that,

y = 4 when x = 3

Now find value of k

4 = \frac{k}{3^2}\\\\4 \times 9 = k\\\\k = 36

<em><u>Find the value of x when y = 9</u></em>

x = ?

y = 9

From eqn 1,

9 = \frac{k}{x^2}\\\\9 = \frac{36}{x^2}\\\\x^2 = 4\\\\x = \pm 2

Thus value of x is found

3 0
3 years ago
Evaluate<br> 56% of 700<br> Can someone please help me ;)
Korvikt [17]
423 your welcome mate
3 0
3 years ago
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