Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula

where
m is the slope
( x1 , y1) is the point
From the question the point is (-3, -1) and slope 2
The equation is
<h2>

</h2>
Hope this helps you
First, we get the standard error of the mean using
σm = σ / √N
= 5 / √100
= 0.5
Next, we subtract and add 1.96 standard deviations from the mean (since the confidence interval is 95%). So,
8 ±1.96 (0.5)
= 8 <span>± 0.98
The answer is
</span>E) 8±0.98
Answer:
Rate of change of the area of the rectangle at that instant = 7 cm²/hr.
Step-by-step explanation:
Area of rectangle = Height x Width
A = hw
The height of a rectangle is increasing at a rate of 3 centimeters per hour and the width of the rectangle is decreasing at a rate of 4 centimeters per hour.

Differentiating area with respect to time,

We need to find rate of change of area when the height is 5 centimeters and the width is 9 centimeters.

Rate of change of the area of the rectangle at that instant = 7 cm²/hr.
Answer:
400 grams.
Step-by-step explanation:
The mass of one medium egg is 50 grams. To solve for 8 medium eggs. Multiply.
50 * 8 = 400
400 grams.
Solve your system of equations step by step.
x−2y=14;x+3y=9
Solve x−2y=14 for x:
x−2y+2y=14+2y (Add 2y to both sides)
x=2y+14
Substitute (2y+14) for x in x+3y=9:
x+3y=9
2y+14+3y=9
5y+14=9(Simplify both sides of the equation)
5y+14+−14=9+−14 (Add -14 to both sides)
5y=−5
5y5=−55 (Divide both sides by 5)
y=−1
Substitute (−1) for y in x=2y+14:
x=2y+14
x=(2)(−1)+14
x=12(Simplify both sides of the equation)
So,
y=-1
x=12
Answer is C)