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Olenka [21]
3 years ago
11

Just started a new unit and I have no idea what to do anyone have a simpler way to explain this?

Mathematics
1 answer:
jonny [76]3 years ago
4 0
Well it looks like you just need to get the y axis number and the x axis number and multiple then
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What is the value of c such that the line y=2x+3 is tangent to the parabola y=cx^2
satela [25.4K]

The value of c such that the line y = 2\cdot x + 3 is tangent to the parabola y = c\cdot x^{2} is -\frac{1}{3}.

If y = 2\cdot x + 3 is a line <em>tangent</em> to the parabola y = c\cdot x^{2}, then we must observe the following condition, that is, the slope of the line is equal to the <em>first</em> derivative of the parabola:

2\cdot c \cdot x = 2 (1)

Then, we have the following system of equations:

y = 2\cdot x + 3 (1)

y = c\cdot x^{2} (2)

c\cdot x = 1 (3)

Whose solution is shown below:

By (3):

c =\frac{1}{x}

(3) in (2):

y = x (4)

(4) in (1):

y = -3

x = -3

c = -\frac{1}{3}

The value of c such that the line y = 2\cdot x + 3 is tangent to the parabola y = c\cdot x^{2} is -\frac{1}{3}.

We kindly invite to check this question on tangent lines: brainly.com/question/13424370

3 0
2 years ago
A data set whose original x values ranged from 120 through 351 was used to generate a regression equation of ŷ=0.06x + 14.2. Use
lawyer [7]

Answer:

35.32

Step-by-step explanation:

The regression equation usually demonstrated as

y=a+bx.

In the above equation y is the dependent variable, x is the independent variable, a is the intercept of regression line and b is the slope of regression line.

The given regression equation is

y^=0.06x+14.2

The predicted value of y can be computed by simply putting the value of x in above equation.

So,

y^=0.06(352)+14.2

y^=21.12+14.2

y^=35.32

Thus, the predicted value of y for x=352 is 35.32.

6 0
4 years ago
For a family party, Tanisha made 2/5 of the dessert. If a total of 40 dessert were brought to the party, how many did Tanisha su
Pavel [41]
16 desserts 8+8+8+8+8= 40 so 2/5 of 40 is 16 
Hope this help Have a great day.
4 0
4 years ago
Read 2 more answers
What is x/2+4=10 I really need to know the steps
Gennadij [26K]

Answer:

12

Step-by-step explanation:

x/2+4=10

-4          -4

________

x/2=6

(2/1)*(x/2)=(2/1)*(6)

________

x=12

3 0
3 years ago
Positive , negative or zero
Bess [88]

Answer:

negative, it'll be negative 2

3 0
3 years ago
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