Answer:
A. Sin 2x
Step-by-step explanation:
This is a trig function and has the shape of sine or cosine. Since it intersects at (0,0), it is likely a sine graph. A normal sine graph starts at (0,0), crests up at 1, and crosses back down at the x-axis at (3.14, 0). However, this graph starts at (0,0) and crosses back again at half that value. This graph has been horizontally compressed by multiplication of a number greater than 1. So this graph is Sin 2x.
Answer:
Step-by-step explanation:
#22
<h3>Given </h3>
- Equation x² -4x + 1 = k(x - 4) with equal roots
<h3>To find</h3>
<h3>Solution</h3>
<u>The equation in standard form is:</u>
- x² -4x + 1 = k(x - 4)
- x² - 4x - kx + 1 + 4 = 0
- x² - (k + 4)x + 5 = 0
<u>When the quadratic equation has equal roots its discriminant is zero</u>
- D = 0
- b² - 4ac = 0
- (k + 4)² - 4*5 = 0
- (k + 4)² = 20
- k + 4 = ± √20
- k = - 4 ± √20
- or
- k = -4 ± 2√5
Answer:
The answer to your question is the letter B) y = 3x - 3
Step-by-step explanation:
Data
Point = (2, 3)
slope = m = 3
Process
To solve this problem just substitute the values given in the slope-point equation.
Formula
y - y1 = m(x - x1)
x1 = 2 y1 = 3
-Substitution
y - 3 = 3(x - 2)
-Expand
y - 3 = 3x - 6
-Solve for y
y = 3x - 6 + 3
-Result
y = 3x - 3
Answer:
Step-by-step explanation:
B
<span><span>4a+6b=10
4a=10-6b
a=(10-6b)/4
a=(5-3b)/2
</span>
<span>2a-4b=12
2((5-3b)/2)-4b=12
(5-3b)-4b=12
5-7b=12
-7b=7
b=-1
</span>
<span>2a-4b=12
2a-4(-1)=12
2a+4=12
2a=8
a=4
a=4, b=-1 </span>
12a=48</span>