We want to multiply the monomial
by the monomial
.
Remember that to multiply monomials we need to use the laws of exponents; in this case, the law for multiplying powers with the same base. The rule says that, when you multiply powers of the same base, you just need to add the exponents:
,
. Also, is worth pointing out that the exponent of a variable with no exponent is 1:
.
Remember that we also need to multiply their coefficients , which are the numbers that multiply the variables; again, variables with no numbers have a coefficient of 1, so
. Multiply coefficients is easy, you just need to multiply them as you usually do with everyday numbers.
Let's apply all of that to our multiplication:
![(2x)(x^2)=(2x^1)(1x^2)=2*1x^{1+2}=2x^3](https://tex.z-dn.net/?f=%20%282x%29%28x%5E2%29%3D%282x%5E1%29%281x%5E2%29%3D2%2A1x%5E%7B1%2B2%7D%3D2x%5E3%20)
We can conclude that 2x times x squared is 2x cubed.
Answer:
Y=6x-4
Step-by-step explanation:
Y=mx+b
in this cace we have m- the slope
Y=6x+b
now we can plug in the coordinates to solve for b- the y intercept
(1,2) 1 being the x value, and 2 being the y value
2= 1·6+b
2=6+b
-4=b
now we take our previous equation, and add to it
Y=6x-4
Answer:
6
Explanation:
According to secant-secant theorem,
(PB)(PA)=(PD)(PC)
(7)(12)=(PD)(14)
NOW
84/14 = PD
PD = 6
Answer:
y= 8x +7
Step-by-step explanation:
<u>slope-intercept form:</u>
y= mx +c, where m is the gradient (or slope) and c is the y-intercept.
Since it is a linear function, the gradient of any 2 points would be equal.
![gradient = \frac{y1 - y2}{x1 - x2}](https://tex.z-dn.net/?f=gradient%20%3D%20%20%5Cfrac%7By1%20-%20y2%7D%7Bx1%20-%20x2%7D%20)
Thus, gradient of the line
![= \frac{39 - 23}{4 - 2} \\ = \frac{16}{2} \\ = 8](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B39%20-%2023%7D%7B4%20-%202%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B16%7D%7B2%7D%20%20%5C%5C%20%20%3D%208)
Subst. m=8 into the equation:
y= 8x +c
To find the value of c, substitute a pair of coordinates.
When x=0, y= 7,
7= 8(0) +c
c= 7
Thus, the equation of the linear function is y= 8x +7.
|2x + 1| < = 5
-5 < = 2x + 1 < = 5 ...subtract 1
-5 - 1 < = 2x + 1 - 1 < = 5 - 1
-6 < = 2x < = 4 ....divide by 2
-6/2 < = (2/2)x < = 4/2
-3 < = x < = 2
B. a number line with closed dots (because of the = sign) on -3 and 2 with shading in between