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Vitek1552 [10]
3 years ago
8

What is the equation of the line that has an x-intercept of x=2.5 and y-intercept of y=1.5?​

Mathematics
1 answer:
viva [34]3 years ago
3 0

Answer:

y = -3/5x + 3/2

Step-by-step explanation:

begin with the slope-intercept form of a line which is:  y = mx + b

'm' is the slope and 'b' is the y-intercept

the y-intercept is given but we need to find the slope

we can do so by using the points created by the x-and-y intercepts:

(0, 3/2) and (5/2, 0)  

3/2 ÷ -5/2 = -3/5 (slope)

y = -3/5x + 3/2

You might be interested in
6 labour complete a work in 12 days. How many labours should added to complete the works in 8 days?​
mario62 [17]

Answer:

9 labours

Step-by-step explanation:

In order to solve this, we must know which kind of proportionality is this. There are two types of proportions, direct and indirect/inverse proportions. In direct proportion, if one quantity increases, the other quantity also increases.

In indirect proportion, if one quantity increases, the other decreases and vice versa.

As per this question, we know if the number of labour increases, the number of days to complete a work decreases, thus proving that this is an indirect/inverse proportion.

6 labours => 12 days

x labours =>  8 days

Since its an inverse proprotion, multiply 6 with 12, and x with 8.

8x = 6 × 12

x = \frac{6*12}{8}

∴ x = <u>9 labours</u>

7 0
3 years ago
Which answer explains the correct way to move the decimal to find the quotient of 23.8 × 100?
natima [27]
The correct way to move the decimal to find the quotient is b. two places to the right.

This is because 100 has two zeroes in it, so you know that you have to move the decimal either two places to the right or two places to the left.  

100 is a positive number, and when multiplied by a positive number with a decimal, it makes an even larger number.  So, you would move 23.8 decimal place two places to the right.
6 0
3 years ago
34.25 multiplied by what Equals 342.5
laiz [17]
Just work backwards.

342.5/ 34.25 = 10
8 0
3 years ago
4. If your company purchases an annuity that will pay $50,000/year for 10 years at a 11% discount rate, what is the value of the
julsineya [31]

Answer:

The value of the annuity is $326,852.3766.

Step-by-step explanation:

Here is the required formula to find the present value of annuity:

We can find the present value of annuity:

PV = P + P (\frac{1-(1+r)^{-(n-1)} }{r})

Here:

            P = $50,000

            n = represents the number of number of periods

            r = 0.11

PV = 50,000 + 50,5000 (\frac{1-(1+0.11)^{-(10-1)} }{0.11})

PV = $326,852.3766

The value of the annuity is $326,852.3766 i.e. PV = $326,852.3766.

Keywords: discount rate,  present value of annuity

Learn more about present value of annuity from brainly.com/question/13218793

#learnwithBrainly

4 0
3 years ago
Ellus
Julli [10]

Answer:

range = 10

Step-by-step explanation:

The range is the difference between the largest and smallest values in the data set.

largest value = 12

smallest value = 2

range = 12 - 2 = 10

8 0
3 years ago
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