Well 3 feet=1 yard
so the conversion factor is 3ft/1yd

so 12 yards converted to feet is
12yd times 3ft/1yd
the yd will cancel and you will be left with 36 feet

each banner is 1 foot so 36/1=36
she can make 36 banners

7 0

3 years ago

A set of composite number less than 12.Express it in listing and set-builder methods

Ivanshal [37]

composite numbers less than 12={1,3,4,6,8,9,10}

7 0

3 years ago

Use synthetic division to determine if x+2 is a factor of f(x)=5x2+13x+6

Karolina [17]

Answer:

x+2 is a factor of $f(x) = 5x^2 + 13x + 6$

Step-by-step explanation:

To check: If (x+2) is a a factor of the polynomial $f(x) = 5x^2 + 13x + 6$

We need to check if x = -2 is the FACTOR of the given polynomial.

⇒ To show: f (-2) = 0

Now

$f(-2) = 5(-2)^2 + 13(-2) + 6\\=5(4) -26 + 6\\= 20 + 6 - 26\\= 26 - 26 = 0\\\implies f(-2) = 0$

Since, f(-2) = 0

⇒ -2 is the ROOT of the Polynomial f(x).

⇒(x +2) is the factor of the given polynomial.

Hence, x+2 is a factor of $f(x) = 5x^2 + 13x + 6$

4 0

3 years ago