Answer: C.) –3, 4.
Step-by-step explanation: Given equation
.
Subtracting x^3 from both sides, we get
.
.
Adding 13x and 12 on both sides, we get
.
.
Dividing whole equation by -2, we get
.
Factoring quadratic, we get
.
x-4=0 and x+3=0
<h3>x=4 and x=-3.</h3>
Answer:
Step-by-step explanation:
n + d = 12
0.05n + 0.1d = 1 ║ × ( - 10 )
n + d = 12 ..... <em>(1)</em>
- 0.5n - d = - 10 ..... <em>(2)</em>
<em>(1)</em> + <em>(2)</em>
0.5n = 2 ⇒ n = 4
d = 12 - 4 = 8
There are <em>4 nickels</em> and <em>8 dimes</em> in the pocket.
Answer:
y = 1/2x + 4
Step-by-step explanation:
Use the formula for the equation of a line.
y = mx + b
Where m is the slope, and b is the y-intercept.
The slope is given.
y = 1/2x + b
The points (x, y) are given.
(4, 6)
Put y as 6 and x as 4, solve for b.
6 = 1/2(4) + b
6 = 2 + b
6 - 2 = b
4 = b
The y-intercept is 4 or (0, 4).
The equation of the line is y = 1/2x + 4.
Answer: 8000 points last week.
Step-by-step explanation:
If she has increased by 75% in a week to get 14000 points then we can say that 175% times a number has to equal 14,000 , where the number of points she had last week.
175% * x = 14000
1.75x =14000 Divide both sides by 1.75
x= 8000
So she had 8000 points last week.
Check:
175% * 8000= 14000
1.75 * 8000 = 14000
14000 = 14000