What is the equation of the line passing through the points and in slope-intercept form?

Mathematics

1 answer:

Dennis_Churaev [7]2 years ago

3 0

Slope intercept for is m= y2-y1/x2-x1

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Solve this system algebraically.

seraphim [82]

From y-2x+3=0 we have y=2x-3
So we can replace y by 2x-3 in the equation: 9x+2y=5
And we have 9x+2(2x-3)=5
Or 9x+4x-6=5
and 13x=5+6
Or x=11/13, then y=2x-3= 2. 11/13-3=22/13-3= -17/13

So we have the answer {(11/13, -17/13)}

4 0

3 years ago

Kirstin knows that the initial fee for adopting a dog from the animal shelter is $75. This fee needs to be considered when calcu

irina [24]

Answer:

The function is represented by $C(d) = 75\,USD + r\cdot d$ .

Step-by-step explanation:

In this case, we must observe that total cost of the dog ( $C(d)$ ) is the sum of two components: i) Fixed cost ( $C_{f}$ ) - Adoption fee, ii) Variable cost ( $C_{v}$ ) - Daily cost of feeding the dog, both measured in US dollars.

In addition, we suppose that variable cost is directly proportional to the number of days that Kirstin owns her dog. That is:

$C (d) = C_{f} + C_{v}$

$C(d) = C_{f} + r\cdot d$

Where:

$d$ - Number of days that Kirstin owns her dog, measured in days.

$r$ - Daily feeding costs, measured in US dollars per day.

If $C_{f} = 75\,USD$ , then:

$C(d) = 75\,USD + r\cdot d$

The function is represented by $C(d) = 75\,USD + r\cdot d$ .

8 0

2 years ago

Please help :(,,,,,,???,,,,,,

nadya68 [22]

Step-by-step explanation:

The first one (f×g)(x) is asking you what is f of x times g of x. This means you multiply the function. You can multiply by the first term (5x) then the second (3) and combine like terms.

${15x}^{2} (5x) = {75x}^{3} \\ 19x(5x) = 95 {x}^{2} \\ 6(5x) = 30x$