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3 years ago

Which linear equation has a slope of 3 and a y-intercept of –2?

2 answers:

7 0

Hey there!

We'll write our linear equation in the slope-intercept form, which is:

y = mx +b

Where m is the slope and b is the y-intercept. With that being said, we don't have to solve for anything here. We have both the slope in the y-intercept to plug in. We have:

y = 3x - 2

With 3 as the slope and 2 as the y-intercept.

Hope this helps!

oksian1 [2.3K]3 years ago

6 0

Answer:

y=-2x+3

Step-by-step explanation:

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A researcher records the hospital admission rates for coronary heart disease at 10 local hospitals. She finds that 2 different h

In-s [12.5K]

The central tendency researcher use to describe these data is "mode".

The value that appears most frequently in a data set is called the mode. One mode, several modes, or none at all may be present in a set of data. The mean, or average of a set, and the median, or middle value in a set, are two more common measurements of central tendency.

Calculation of mode is done by-

The number that appears the most frequently in a piece of data is its mode.
Put the numbers in ascending order by least to greatest, then count the occurrences of each number to quickly determine the mode.
The most frequent number is the mode.
Simply counting how many times each number appears in the data set can help you identify the mode, which is the number that appears the most frequently in the data set.
The figure with the largest total is the mode.
Example: Since it happens most frequently, the mode for the data set [5, 7, 8, 2, 1, 5, 6, 7, 5] is 5.

To know more about the mode of the data, here

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6 0

2 years ago

25t - 87.5 = 12.5<br> What is the answer

patriot [66]

The answer is:t=4 You welcome

5 0

3 years ago

Read 2 more answers

Last month, when Joe took his puppy to the veterinarian, the puppy weighed 5.4 pounds. This month, the puppy weighed 7.56 pounds

tino4ka555 [31]

<u>Answer:</u>

40%

<u>Step-by-step explanation:</u>

We are given that last month, Joe's puppy weight 5.4 pounds while this month, the puppy weighed 7.56 pounds.

We are to find the percentage increase of the weight of the puppy

We know that the formula of percentage increase if given by:

<em>Percentage increase = (new value - initial value)/initial value × 100</em>

So substituting the given values to get:

Percentage increase in puppy's weight = $\frac{7.56-5.4}{5.4} \times 100$ = 40%

7 0

3 years ago

State the vertex and axis of symmetry of the graph of y=ax2+c.

Neporo4naja [7]

State the vertex and axis of symmetry of the graph of y=ax^2+c

General form of quadratic equation is $y=ax^2 + bx +c$

There is no bx in our given equation, so we put 0x

Given equation can be written as $y=ax^2 + 0x +c$

a=a , b=0

Now we use formula to find vertex

$x=\frac{-b}{2a}$

$x=\frac{-0}{2a}=0$

Now we plug in 0 for 'a' and find out y

$y=a(0)^2 + 0x +c= c$

So our vertex is (0,c)

The axis of symmetry at x coordinate of vertex

So x=0 is our axis of symmetry

3 0

3 years ago

Read 2 more answers

The unit cost, in dollars, to produce bins of cat food is $3 and the fixed cost is $6972. The price-demand function, in dollars

stellarik [79]

Answer:

Revenue , Cost and Profit Function

Step-by-step explanation:

Here we are given the Price/Demand Function as

P(x) = 253-2x

which means when the demand of Cat food is x units , the price will be fixed as 253-2x per unit.

Now let us revenue generated from this demand i.e. x units

Revenue = Demand * Price per unit

R(x) = x * (253-2x)

= $253x-2x^2$

Now let us Evaluate the Cost Function

Cost = Variable cost + Fixed Cost

Variable cost = cost per unit * number of units

= 3*x

= 3x

Fixed Cost = 6972 as given in the problem.

Hence

Cost Function C(x) = 3x+6972

Let us now find the Profit Function

Profit = Revenue - Cost

P(x) = R(x) - C(x)

= $253x-2x^2 - (3x + 6972)$

= $253x-3x-2x^2-6972\\= 250x-2x^2-6972\\=-2x^2+250x-6972\\$

Now we have to find the quantity at which we attain break even point.

We know that at break even point

Profit = 0

Hence P(x) = 0

$-2x^2+250x-6972=0\\$

now we have to solve the above equation for x

Dividing both sides by -2 we get

$x^2-125x+3486=0$

Now we have to find the factors of 3486 whose sum is 125. Which comes out to be 42 and 83

Hence we now solve the above quadratic equation using splitting the middle term method .

Hence

$x^2-42x-83x+3486=0\\x(x-42)-83(x-42)=0\\(x-42)(x-83)=0\\$

Either (x-42) = 0 or (x-83) = 0 therefore

if x-42= 0 ; x=42

if x-83=0 ; x=83

Smallest of which is 42. Hence the number of units at which it attains the break even point is 42.

5 0

4 years ago