The slope is 2/3, and the y-intercept is 4. In slope intercept form, the equation is y=2/3x+4
Answer:
<u>y = - 6.375</u>
Step-by-step explanation:
Step 1:
4 ( y - 3y ) - 19 = 32 Equation
Step 2:
4y - 12y - 19 = 32 Multiply
Step 3:
- 8y - 19 = 32 Combine Like Terms
Step 4:
- 8y = 51 Add 19 on both sides
Step 5:
y = 51 ÷ - 8 Divide
Answer:
<u>y = - 6.375</u>
Hope This Helps :)
Option C:
{x: –1 < x < 7}
Solution:
Given expression is (x – 2 < 5) ∩ (x + 7 > 6).
Let us first solve the inequality.
First inequality:
⇒ x – 2 < 5
Add 2 on both sides of the expression.
⇒ x – 2 + 2 < 5 + 2
⇒ x < 7
Second inequality:
⇒ x + 7 > 6
Subtract 7 on both sides of the expression.
⇒ x + 7 – 7 > 6 – 7
⇒ x + 7 – 7 > 6 – 7
⇒ x > –1
Now to find the intersection of these inequalities.
(x – 2 < 5) ∩ (x + 7 > 6) = (x < 7) ∩ (x > –1)
= (x < 7) ∩ (–1 < x)
= –1 < x < 7
Thus, option C is the correct answer.
(x – 2 < 5) ∩ (x + 7 > 6) = {x: –1 < x < 7}
Answer:
Step-by-step explanation:
A function is given to us and we need to find the x Intercepts of the graph of the given function . The function is ,
For finding the x intercept , <u>equate the given function with 0, we have ;</u>
Equate each factor with 0 ,
Divide both sides by 2 ,
Again ,
Taking squareroot on both sides,
Add 5 to both sides,
Similarly ,
<u>Hence</u><u> the</u><u> </u><u>x </u><u>Intercepts</u><u> </u><u>are </u><u>-</u><u>4</u><u> </u><u>,</u><u> </u><u>0</u><u> </u><u>and </u><u>5</u><u> </u><u>.</u>
{ See attachment also for graph } .