Answer: x = -1, -3, 7 + √62, 7 - √62
Step-by-step explanation:
q p
x⁴ - 10x³ - 66x² - 94x - 39
= +/- 
possible rational factors: 1, -1, 3, -3, 13, -13, 39, -39
Use synthetic division <em>or long division</em> to see which factor will leave a remainder of 0.
try x + 1 = 0 ⇒ x = -1
-1 | 1 -10 -66 -94 -39
<u>| ↓ -1 11 55 39 </u>
1 -11 -55 -39 0
(x + 1)(x³ - 11x² - 55x - 39)
next, try x + 3 = 0 ⇒ x = -3 <em>for the new polynomial</em>
-3 | 1 -11 -55 -39
<u>| ↓ -3 42 39</u>
1 -14 -13 0
(x + 1)(x + 3)(x² - 14x - 13)
Lastly: find the zeros by setting each factor equal to zero and solve.
x + 1 = 0 ⇒ x = -1
x + 3 = 0 ⇒ x = -3
x² - 14x - 13 = 0
Answer:
8s stripes
Step-by-step explanation:
8 more than s stripes is the same as 8×s stripes
<span>The
<u>correct answer</u> is:
350 ml.
Explanation<span>:
Let x be the amount in the fifth container.
The mean is found by adding all of the amounts together and dividing by the number of containers (in this problem, 5). We know that the total from the other 4 containers is 2750; add this to x, our unknown number. Then we divide by 5 to arrive at our answer of 620.
Algebraically,
</span></span>
<span><span>
To solve, multiply both sides by 5:
</span></span>
<span><span>
Subtract 2750 from both sides:
2750+x-2750=3100-2750
x=350.
There are 350 ml in the fifth container.</span></span>
Answer:
y = 3/5x + 5
Step-by-step explanation:
Slope-intercept form is y = mx + b where m is the slope (rise / run of the line) and b is y-intercept (y value of where the line intersects with the y-axis.
The line is rising up 3 and run to the right 5 and so it's slope is 3/5. The line intersects with the y-axis at a y value of 5 and so it's y-intercept is 5.
Therefore, your answer in slope-intercept form is y = 3/5x + 5.
