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Ray Of Light [21]
3 years ago
6

What is the linear function equation represented by the graph?

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
5 0

Look at the picture.

The point-slope form of a line:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (0, 1) and (2, 0). Substitute:

m=\dfrac{0-1}{2-0}=\dfrac{-1}{2}=-\dfrac{1}{2}\\\\y-1=-\dfrac{1}{2}(x-0)\\\\y-1=-\dfrac{1}{2}x\qquad|+1\\\\y=-\dfrac{1}{2}x+1

Answer: f(x)=-\dfrac{1}{2}x+1

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What is 2x^2+3x-7=x^2+5x+39
aksik [14]
The answer for this equation is 68
3 0
3 years ago
The length of a rectangle is twice it’s width. If the area of the rectangle is 72ft ^2, find it’s perimeter
alisha [4.7K]

Hi!

length = l = 2 * width = 2 * w

Area = l * w = l * 2 * l = 2 * l^2

2 * l^2 = 72

l^2 = 72/2 = 36

l = square root of 36

l = 6

l = 2 * w => w = l/2 = 6/2 = 3

Perimeter = 2 * l + 2 * w = 2 * 6 + 2 * 3 = 12 + 6 = 18 feet

Hope this helps!

7 0
3 years ago
a car dealer paid a certain and marked it up by 7\5 of the price he paid later he sold it for $24000 what is the original price
DerKrebs [107]
X = original price

(7/5)x = 24000

x = (5/7)24000

x = 17143

the original price was $17,143
4 0
4 years ago
Problem: Suppose that on-the-job injuries in textile mill occur at the rate of 0.1 per day. What is the probability that two acc
sertanlavr [38]

Answer: the probability that two accidents will occur during the (five-day) work week is 0.0758

Step-by-step explanation:

Given that;

injuries in textile mill occur at the rate of 0.1 per day; λ = 0.1

probability that two accidents will occur during the (five-day) work week = ?

T= 5

so, the average number of on the job injuries for five days will be;

λT = 0.1 × 5

= 0.5

now if X follows Poisson distribution, hemce

P( X=k ) = [e^-λT (λT)^k] / k!

so the probability that two (2) accidents will occur during the (five-day) work week will be;

P( X=k ) = [e^-0.5 (0.5)²] / 2!

= (0.6065 × 0.25) / 2

= 0.1516/ 2

= 0.0758

the probability that two accidents will occur during the (five-day) work week is 0.0758

3 0
3 years ago
The sides AB , BC , and AC of a △ABC are tangent to a circle at points P, Q, and R respectively. Find AP, PB, BQ, QC, CR, and RA
Vsevolod [243]

Answer:

AP = RA = 1.5 cm

PB = BQ = 8.5 cm

QC = CR = 3.5 cm

Step-by-step explanation:

The distance from the vertex to the two nearest tangent points is the same. If we say the distance AP = RA = x, then PB = BQ = 10-x, and QC = CR = 5 -x.

Since we know

BQ +QC = 12

We can substitute the above expressions involving x to find what x is.

(10 -x) +(5 -x) = 12

15 -2x = 12

x = (15 -12)/2 = 1.5

This tells us ...

AP = RA = 1.5 cm

PB = BQ = 8.5 cm

QC = CR = 3.5 cm

5 0
4 years ago
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