When its gets closer, it gets larger
Answer:
4
Step-by-step explanation
Formula: <em>b * h</em>/ 2 (Base times height divided by 2)
4 x 2 = 8
Divide in half
8/2 = 4
Answer:
B. The limits Lim x-->7 (x²-9x+14)/x-7 and lim x--> 7 (x-2) equals the same number when evaluated using direct substitution. The limit of both functions is 5
Step-by-step explanation:
Find the complete question in the attachment.
Given the limit of the functions
Lim x-->7 (x²-9x+14)/x-7
To solve this, we will need to factorize the quadratic function at the numerator first.
x²-9x+14
= x²-2x-7x+14
= x(x-2)-7(x-2)
= (x-7)(x-2)
The expression therefore becomes:
= lim x-->7 (x-7)(x-2)/x-7
= lim x-->7 (x-2)
Now substitute the value of x into the simplified function
lim x-->7 (x-2) = 7-2
lim x-->7 (x-2) = 5
Hence Lim x-->7 (x²-9x+14)/x-7 = 5
From the calculation above, it can be seen that Lim x-->7 (x²-9x+14)/x-7 = lim x--> 7 (x-2) = 5
Hence the correct answer based on the explanation above is B.
The limits Lim x-->7 (x²-9x+14)/x-7 and lim x--> 7 (x-2) equals the same number when evaluated using direct substitution.
Answer:
y=-3/2x-2
Step-by-step explanation:
first, we must calculate the slope (m) using the equation (y2-y1)/(x2-x1)
here are the given points: (0,-2) and (-4,4)
we can label the points:
x1=0
y1=-2
x2=-4
y2=4
now substitute into the equation:
m=(4--2)/(-4-0)
m=(4+2)/-4
m=6/-4
m=3/-2
m=-3/2
the slope of the line is -3/2
now use the point-slope form, which is y-y1=m(x-x1)
substitute the given numbers into the equation
y--2=-3/2(x-0)
do distributive prop.
y+2=-3/2x
subtract 2 from both sides
y=-3/2x-2
To convert the value given above, we need a conversion factor to multiply. The conversion factor to be used here would be 0.5 since from conversion tables 1 up is equal to 0.5 pints. We calculate as follows:
8 cups (0.5 pints / 1 cups ) = 4 pints
Hope this answers the question. Have a nice day.