Divide both sides by 36
6/36 = p
1/6 = p
<span>Answer:
Standard Form:
3.441
<span>Expanded forms can be written
like a sentence or stacked for
readability as they are here.</span>
Expanded Numbers Form:
<span><span> 3 </span><span>+ 0.4</span><span>+ 0.04</span><span>+ 0.001</span></span>
Expanded Factors Form:
<span><span> 3 ×1 </span><span>+4 × 0.1</span><span>+4 × 0.01</span><span>+1 × 0.001</span></span>
Expanded Exponential Form:
<span><span>3 × 100</span><span>+<span>4 × 10-1</span></span><span>+<span>4 × 10-2</span></span><span>+<span>1 × 10-3</span></span></span>
Word Form:
three and
four hundred forty-one thousandths
</span>
The points are; (7/2, -1/2).
<h3>What is the given point?</h3>
Now the tangent line is given as;20x 4y = 1. When we rewrite it in the slope intercept form, we have the equation as; y = 1 - 20x/4 or y = 1/4 - 5x.
Then to obtain the slope of the curve we have; y = 19 - 2x
dy/dx = 2
Using the relation;
m1m2 = -1
m2 = -1/2
Hence;
y = 1/4 - 5(-1/2)
y = 1/4 + 5/2
y = 7/2
Thus the points are; (7/2, -1/2)
Learn more about normal curve:brainly.com/question/10664419
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Answer:
Step-by-step explanation:
y = -3x² + 24x - 50
factor out leading coefficient
y = -3(x² - 8x) - 50
complete the square
coefficient of the x term: -8
divide it in half: -4
square it: (-4)² = 4²
use 4² to complete the square and keep the equation balanced:
y = -3(x² - 8x + 4²) + 3(4²) - 50
y = -3(x-4)² - 2
Let x be the amount of hours the plumber worked.
Therefore, we get:
40x+65=325
Solve for x.
40x=260
x=6.5
Therefore, the plumber worked for 6.5 hours.
