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VARVARA [1.3K]
3 years ago
7

What is the factorization?

Mathematics
1 answer:
AleksAgata [21]3 years ago
6 0
First take out the GCF
-3x(x^2-5x-14)
-3x(x-7)(x+2)
-7+2=-5
-7*2=-14

Answer: D
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Name the property illustrated.<br><br> (4 + 6) + 9 = 4 + (6 + 9)
Andrews [41]
Commutative property.
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3 0
3 years ago
Determine whether or not 630 is a triangular number. start with the formula t n = n ( n + 1 ) 2 and then use the quadratic formu
ziro4ka [17]
Triangular sequence = n(n + 1)/2

If 630 is a triangular number, then:

n(n + 1)/2  = 630

Then n should be a positive whole number if 630 is a triangular number.

n(n + 1)/2  = 630

n(n + 1)  = 2*630

n(n + 1)  = 1260

n² + n = 1260

n² + n - 1260 = 0

By trial an error note that 1260 = 35 * 36

n² + n - 1260 = 0

Replace n with 36n - 35n

n² + 36n - 35n - 1260 = 0

n(n + 36) - 35(n + 36) = 0

(n + 36)(n - 35) = 0

n + 36 = 0   or   n - 35 = 0

n = 0 - 36,   or  n = 0 + 35

n = -36, or 35

n can not be negative. 

n = 35 is valid.

Since n is a positive whole number, that means 630 is a triangular number.

So the answer is True.
7 0
3 years ago
In a rectangle ABCD, A and B are the points (4,2) and (2,8) respectively l. Given that the equation of AC is y=x-2. Find the equ
Nastasia [14]
Hello,

A=(4,2)
B=(2,8)

(AB)≡y-2=(x-4)*(8-2)/(2-4) ==> y=-3x+14
(BC)≡y-8=(x-2)*1/3 ==> y=1/3 x+22/3



4 0
3 years ago
Whats the answer?!?!?
Alisiya [41]

Answer:

3 + 5 + 7

Step-by-step explanation:

In addition it does not matter what order the numbers are in.

3 0
3 years ago
Aiden's mom calculated that in the previous month, their family had used 40% of the monthly income for
Natali5045456 [20]

Answer:

The money left after gasoline expenses was <u>$622.50</u>.

Step-by-step explanation:

Given:

Last month, family had used 40% of the monthly income for  gasoline, and 63% of that gasoline was consumed by the family's SUV.

The family's SUV used $261.45 worth of  gasoline previous month.

Now, to find the money left of the family monthly income after gasoline expenses.

Let the total money spend on gasoline be g.

As, given:

The family's SUV used $261.45 worth of  gasoline, which was 63% of the gasoline that was consumed.

According to question:

63\%\ of\ g=$261.45.\\\\

\frac{63}{100} \times g=261.45\\\\0.63\times g=261.45

<em>Dividing both sides 0.63 we get:</em>

g=\$415.

<u><em>The total money spend on gasoline = $415.</em></u>

Now, 40% of the monthly income is used for gasoline.

Let the total monthly income be x.

So, to get the monthly income we put an equation:

40\%\ of\ x=\$415\\\\\frac{40}{100}\times x=415\\\\0.40\times x=415

<em>Dividing both sides by 0.40 we get:</em>

x=\$1037.50.

<u><em>The total monthly income = $1037.50.</em></u>

Now, to get the money left after gasoline expenses we subtract the total money spend on gasoline from the total monthly income:

\$1037.50-\$415\\\\=\$622.50.

Therefore, the money left after gasoline expenses was $622.50.

6 0
3 years ago
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