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zhuklara [117]
3 years ago
6

What are the factors of x^2+4x+3​

Mathematics
2 answers:
lianna [129]3 years ago
5 0

Answer:

(x+3)(x+1)

Step-by-step explanation:

x^2+4x+3​

What 2 numbers multiply to 3 and add to 4

3*1 =3

3+1 = 4

(x+3)(x+1)

r-ruslan [8.4K]3 years ago
4 0

Answer:

<h2>(x + 1)(x + 3)</h2>

Step-by-step explanation:

"First notice that the function is a quadratic and so will have two factors. Since the coefficient of  

x 2  is 1, the factors will be of the form:  

( x + a ) ( x + b )

We will assume that a and b are integers.

Hence, we need to find a and b such that the product of the factors is equal to the given quadratic function .

Now consder the absoute value of constant term, 3. Since 3 is prime its only factors are 3 and 1. Since the constant term is positive, a and b can only be 3 and 1 or -3 and -1.

Finally observe that the coefficient of  x  is positive 4 and that the sum of 3 and 1 is positive 4. Thus, a and b must be 3 and 1 (or the other way around, but this makes no difference to our factorisation) "

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Answer:

+10 on both sides so

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Marizza181 [45]

The volume of a cone with a diameter of 30 feet and a height of 60 feet is 14130.

<h3>What is the volume of a cone?</h3>

The volume of the cone is given by;

\rm Volume  \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\Where;\  r = radius \ and \ h = height

The volume of a cone with a diameter of 30 feet and a height of 60 feet.

The radius of the cone is;

\rm Radius =\dfrac{Diameter}{2}\\\\Radius=\dfrac{30}{2}\\\\Radius=15

Substitute all the values in the formula

\rm Volume  \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\ Volume  \ of \ cone=\dfrac{1}{3}\times 3.14 \times 15^2 \times 60\\\\Volume  \ of \ cone=14130

Hence, the volume of a cone with a diameter of 30 feet and height of 60 feet is 14130.

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2 years ago
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A boy has only dimes and quarters in his piggy bank. if he has 70 coins worth 12 dollars and 40 cents altogether, how many quart
dlinn [17]

Let us bear in mind the equivalent value of these coins: 

One dime = $0.10 

One quarter = $0.25 

Let x = number of dimes 

        y<span> = number of quarters</span> 

Since the boy has 70 coins in total, we can say that: 

<span>x + y = </span><span>70 </span>(can be written as x = 70 – y) 

Since the boy has a total of $12.40, we can say that: 

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To solve this problem, we need to solve this system of equation. We have to substitute the value of x as written in the first equation (x = 70 –y) 

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7 – 0.10y + 0.25y = 12.40 

0.15y = 5.40 

y = 36 

X = 70 – 36 

X = 34 

Therefore,<span> the boys </span>has<span> 34 dimes and 36 quarters. To check our answer, we just have to check if his money would total $12.40.</span> 

34 dimes = $3.40 

36 dimes = $9.00 

<span>Total           </span><span>$12.40</span>

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