Answer:
5
Step-by-step explanation:
=> 2x+3
<em>For x = 1</em>
=> 2(1) + 3
=> 2+3
=> 5
Answer:
slope = 2 because it goes up by 2 and across 1
10 = 2(1)+b
10=2+b
-2 -2
b = 8
y intercept = 8
equation: y = 2x+8
yes it is proportional because it has a constant rate of change or slope
Answer: 22 1/2 cups
Step-by-step explanation:
multiply 2 1/4 (2.25) by 10 and you get 22.5 or 22 1/4 cups
Answer:
63.9
Step-by-step explanation:
Convert 9% to a decimal: 0.09
710×.09=63.9
Please give me brainliest
Answer:
y = (1/4)x² - (5/4)x + 1
Step-by-step explanation:
The x-intercepts of the quadratic equation are simply it's roots.
Thus, we have;
(x + 1) = 0 and (x - 4) = 0
Now, formula for quadratic equation is;
y = ax² + bx + c
Where c is the y intercept.
At y-intercept: (0,1), we have;
At (-1,0), thus;
0 = a(1²) + b(1) + 1
a + b = -1 - - - (1)
At (4,0), thus;
0 = a(4²) + b(4) + 1
16a + 4b = -1
Divide both sides by 4 to get;
4a + b = -1/4 - - - (2)
From eq 1, b = -1 - a
Thus;
4a + (-1 - a) = -1/4
4a - 1 - a = -1/4
3a - 1 = -1/4
3a = 1 - 1/4
3a = 3/4
a = 1/4
b = -1 - 1/4
b = -5/4
Thus;
y = (1/4)x² - (5/4)x + 1
