Answer:
<h2>8. slope = 2</h2><h2>9. y-intercept = -3</h2><h2>10. in the attachment</h2>
Step-by-step explanation:
The slope-intercept form y = mx + b
m - slope
b - y-intercept → (0, b)
We have the equation
y - 2x = -3 <em>add 2x to both sides</em>
y = 2x - 3
slope m = 2
y-intercept b = -3
We need two points to draw a graph of this linear function.
One is y-intercept (0, -3). The second one is calculated by choosing any value of x and put it to the equation:
for x = 2 → y = 2(2) - 3 = 4 - 3 = 1 → (2, 1).
Answer:
(-1373)
Step-by-step explanation:
a = 1st term = -13
Common difference = d = 2nd term - 1st term
d = -33 - (-13) = -33 + 13
d = -20
n = 69
nth term = a + (n-1)d
69th term = (-13) + 68 * (-20)
= -13 - 1360
= - 1373
Answer:
Step-by-step explanation:
3x2−2x−5=0
Let us factorize using the split the middle term method.
On inspection we observe that middle term can be split in two parts whose product is equal to the product of first and third term.
Two terms are −5xand3x
The equation becomes
3x2+3x−5x−5=0, pairing the two and taking out common factors
⇒(3x2+3x)−(5x+5)=0,
don't forget to change the sign of −5 once placed inside the parenthesis.
⇒3x(x+1)−5(x+1)=0
⇒(x+1)(3x−5)=0
Either (x+1)=0 or (3x−5)=0
We obtain x=−1,53
or x=−1,123
Hello answer is "n is more than 9" !
Answer:
The simplest form of the fraction 
is 
.
i.e.
Step-by-step explanation:
Here are some simple observations regarding how to reduce a fraction into simpler terms:
- A fraction is reduced to lowest or simplest terms by finding an equivalent fraction in which the numerator and denominator are as small as possible.
- In order to reduce a fraction to lowest or simplest terms, divide the numerator and denominator by their (GCF). Note that (GCF) is also called Greatest Common Factor .
So, lets take a sample fraction and reduce into simpler terms.
Considering the fraction
so
Therefore, the simplest form of the fraction is .
i.e.
