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3 years ago

Find the equation of the straight line passing through 4,1 with a gradient of 1

Mathematics

1 answer:

almond37 [142]3 years ago

3 0

Answer:

y = x - 3

Step-by-step explanation:

If the gradient (slope) of the line is m, then the point-slope form of the appropriate equation is y - k = m(x - h). If the gradient is 1, then

y - k = x - h

Since this line passes through (4, 1), we have

y - 1 = x - 4, or

y = x - 3

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Find the function rule for g(x). The function f(x) = x2 . The graph of g(x) is f(x) translated to the right 8 units and down 7 u

anygoal [31]

F(x)=x^2
Translated to the right 8 units: h(x)=(x-8)^2
and down 7 units: g(x)=(x-8)^2-7

Answer: Option D. g(x)=(x-8)^2-7

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3 years ago

The National Coffee Association reported that of U.S. adults drink coffee daily. A random sample of U.S. adults is selected. Rou

kirill115 [55]

The question is incomplete. The complete question is :

The National Coffee Association reported that 62% of U.S. adults drink coffee daily. A random sample of 225 U.S. adults is selected. Round your answers to at least four decimal places as needed.

Required:

a. Find the mean μ.

b. Find the standard deviation σ.

c. The standard deviation σ.

Solution :

a). Percentage of the US adults who drinks coffee daily = 62%

Therefore, the mean, μ = 0.62

b). We know, p = μ = 0.62

And n = 225

Therefore, the standard deviation is given by :

$\sigma=\sqrt{\frac{p\times (1-p)}{n}}$

$=\sqrt{\frac{0.62\times (1-0.62)}{225}}$

$=\sqrt{\frac{0.62\times 0.38}{225}}$

$=0.0324$

c). Standard deviation, σ = 0.0324

3 0

3 years ago

One characteristic of all linear functions is that they change by?

user100 [1]

Answer:

3.)equal differences over equal intervals

Step-by-step explanation:

A linear function has a constant rate of change.

A rate of change is the difference in the dependent variable for every change in the independent variable.

This means it has equal differences over equal intervals.

6 0

3 years ago

Read 2 more answers

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user100 [1]

Answer:

(16/3,-4)

Step-by-step explanation:

y=-3/4x & y=3/2x -12
then solve for x which means -3/4x=3/2x-12
then the value of x=16/3
put the x value in one equation
y=3/4(16/3)
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2 years ago

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It’s not A I failed and I stuck at math can someone plz help me thxxx

12345 [234]

Answer:

b. 12,960ft

Step-by-step explanation:

half of 24 gives you 12 therefore the answer must start from 12.

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3 years ago