We can factor by grouping. To do so, we multiply the leading coefficient with the constant at the end. In other words, a times c (ax^2 + bx + c).
15*-4 = -60
Now we need to split the b term into two pieces that multiply to -60 and add to 4.
-6 and 10 will work.
Now group one part of b with the 15x^2 and the other part with -4.
(15x^2 + 10x) + (-6x - 4)
Now factor both terms.
5x(3x+2) - 2(3x+2)
3x+2 is one of our factors and 5x-2 is the other.
(3x+2)(5x-2)=0
Now just find the zeros.
3x+2 = 0
3x = -2
x = -2/3
And
5x-2 = 0
5x = 2
x = 2/5
So the answer is x = -2/3 and x = 2/5
Answer:
The quotient is: x-7
and remainder is : -300
Step-by-step explanation:
We need to divide 
by 
First arrange the term in terms of ascending order of x.
Arranging we get:
\
The division steps are shown in figure attached.
The quotient is: x-7
and remainder is : -300
Answer:
After finding the prime factorization of $2010=2\cdot3\cdot5\cdot67$, divide $5300$ by $67$ and add $5300$ divided by $67^2$ in order to find the total number of multiples of $67$ between $2$ and $5300$. $\lfloor\frac{5300}{67}\rfloor+\lfloor\frac{5300}{67^2}\rfloor=80$ Since $71$,$73$, and $79$ are prime numbers greater than $67$ and less than or equal to $80$, subtract $3$ from $80$ to get the answer $80-3=\boxed{77}\Rightarrow\boxed{D}$.
Step-by-step explanation:
hope this helps
You would subitute -2 for x in the equation
f(-2)=x^2-6
PEMDAS so exonents
-2^2-6
negative times a negative= positive
4-6
f(-2)=-2
f(x) means that you subsitute x for x in the equation exg
f(1)=x+2 means f(1)=1+2
f(4)=x+2 means f(4)=4+2
Answer:
Less than 4.70 GB
Step-by-step explanation:
Let x = # of GB that Janelys uses that month. Since Janelys wants to pay less than $70 given that the flat rate for subscribing to that company's data per month is $46.50 and each GB costs $5 to use, the inequality can be written as:
5x + 46.50 < 70
5x < 23.50 Subtract $45.60 from each side.
x < 4.70 GB Divide 5 from each side.
Thus, (if it is whole numbers) Janelys can use 4 GB while staying within her budget or (if decimals are fine) anything less than 4.70 GB. Hope this helped! :D
