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3 years ago

Evaluate 2k + 3m if k= 1 and m=5

Mathematics

1 answer:

rusak2 [61]3 years ago

4 0

2(1) + 3(5) = 2+15 = 17

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You are going on a field trip and need to choose where to go, The zoo charges a $100 fee plus $10 per student. The museum charge

Ghella [55]

Answer:

21 kids have to go on the trip to make the museum a better deal

Step-by-step explanation:

Zoo: y=10x+100

Museum: y=5x+200

10x+100=5x+200

5x=100

x=20

When 20 kids go on trip the costs will be the same. Therefore, once 21 kids go the museum will be cheaper then the zoo as it is increasing at a rate of 5 dollars

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3 years ago

Help please 10 minutes

Rufina [12.5K]

The slope-intercept form:

$y=mx+b\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have (1, -7) and (-1, 1).

Substitute:

$m=\dfrac{1-(-7)}{-1-1}=\dfrac{8}{2}=4$

Therefore we have

$y=4x+b$

Substitute the coordinates of the first point to the equation of line:

$-7=-4(1)+b$

Answer:

$\dfrac{1+7}{-1-1}=-4;\ -7=-4(1)+b$

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4 years ago

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Nutka1998 [239]

Answer:

Step-by-step explanation:

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3 years ago

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10 qt into gallons and quarts

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Answer:

qt is quarts so it would be 10 quarts and 2.5 gallons is 10 quarts

Step-by-step explanation:

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4 years ago

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A circle with a centre 0, has an equation x2 + y2 = 25

GaryK [48]

The linear equation of the tangent at point A is given by:

$y = \frac{-4x + 25}{3}$

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, to find the slope, we need to find the derivative at (4,3), using implicit differentiation. Hence:

$2x\frac{dx}{dx} + 2y\frac{dy}{dx} = 0$

$\frac{dy}{dx} = -\frac{x}{y}$

$\frac{dy}{dx} = -\frac{4}{3}$

Then:

$y = -\frac{4}{3}x + b$

We use point (4,3) to find b, hence:

$y = -\frac{4}{3}x + b$

$3 = -\frac{16}{3} + b$

$b = \frac{25}{3}$

Hence, the equation is:

$y = \frac{-4x + 25}{3}$

More can be learned about linear equations at brainly.com/question/24808124

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7 0

2 years ago