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Alexeev081 [22]
3 years ago
14

Find the co-ordinates of the point where the line y = 3x - 8 crosses the y-axis.​

Mathematics
1 answer:
lana66690 [7]3 years ago
4 0
(0,-8)

Explanation: In y=mx + b, m represents the slope of the line and b represents the y intercept, since b is -8, it will cross the y-axis at (0,-8)
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\[f(x)=\sqrt{x ^4-16x ^{2}}\]
marusya05 [52]
f ( x ) =  \sqrt{ x^{4} -16 x^{2} }
a ) The domain:
x^4 - 16 x² ≥ 0
x² ( x² - 16 ) ≥ 0
x² - 16 ≥ 0
x² ≥ 16
x ∈ ( - ∞, - 4 ] ∪ [ 4 , + ∞ )
b ) f ` ( x ) = \frac{1}{2 \sqrt{x ^{4}-16 x^{2}  } } *  ( x^{4}-16 x^{2} )` =
= ( 2 x³ - 16 x ) / √(x^4 - 16 x²)
c ) The slope of the tangent line at x = 5:
f ` ( 5 ) = ( 2 * 125 - 16 * 5 ) / √ ( 625 - 400 ) = 170 / 15 = 34 / 3
The slope of the line normal to the graph at x = 5:
m = - 3 / 34 
4 0
3 years ago
If someone could answer the second part that would be awesome thanks, no spam please
Zigmanuir [339]

Answer:

c

Step-by-step explanation:

m<4 and m<3 is a straight angle. straight angles are equal to 180 degrees. the friend found m<3=40 and m<4 is equal to 140 degrees (im not good at explaining, sorry)

6 0
3 years ago
The dot plot shows the number of hours, to the nearest
Hoochie [10]

Answer: Fifth grade mean: 4.67

Seventh grade mean: 3.46

Fifth grade median: 5

Seventh grade median: 3.5

Step-by-step explanation: I just did the question

3 0
3 years ago
Can someone help me. Please
Alex Ar [27]
The answer for this question is c.
4 0
3 years ago
Your beginning balance on your lunch account is $42. You buy lunch for $1.80 every day and sometimes buy a snack for $0.85. Afte
tangare [24]

Answer:

The answer to your question is: I bought 7 snacks

Step-by-step explanation:

Data

beginning balance = $42 = b

lunch = $1.80  = l

snack = $ 0.85  = s

final balance = $0.05 = f

                        f = b - 1.8l - 0.05s

                     0.05 = 42 - 1.8l - 0.85s

After 20 days I spent = 1.8(20) in lunches = $36

                    0.05 = 42 - 36 - 0.85s

                   0.05 = 6 - 0.85s

                  0.05 - 6 = -0.85s

                  -5.95 = -0.85s

                  s = -5.95/-0.85

                  s = 7

         

4 0
3 years ago
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