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r-ruslan [8.4K]
3 years ago
14

What is the equation of the following linear funchon?

Mathematics
1 answer:
juin [17]3 years ago
3 0

Answer:

3x+8

Step-by-step explanation:

linear function formula ax+b

when x=3 3a+b=17 and when x=6 6a+b=26

3a=9 a=3,

when x=3 3.3+b=17 9+b=17 b=8

3x+8

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We need a flower garden with a perimeter of 16 feet and an area of 12 square feet. Using the information in the customer order,
son4ous [18]

The length and width might be 6ft and 2ft because you have 6+6+2+2=16ft for the perimeter and 6x2=12sqft for the area

5 0
4 years ago
What is the value of m in the equation one-half m minus three-fourths n equals 16, when n equals 8? a. 20 b. 32 c. 44 d. 48
Semmy [17]

Answer:

c. 44

Step-by-step explanation:

½m - ¾n = 16

½m - (¾×8) = 16

½m - 6 = 16

½m = 16 + 6

½m = 22

m = 44

4 0
3 years ago
Triangle K L J is cut by line segment N O. Line segment N O goes from side L K to side L J. The length of L N is (x minus 3) inc
kozerog [31]

Answer: x= 8

Step-by-step explanation:

According to the converse of basic proportionality theorem,

If in ΔABC , DE is a line drawn from AB to AC such that \dfrac{AD}{DB}=\dfrac{AE}{EB}

then, DE is parallel to the third side BC.

Applying converse of basic proportionality theorem, to get NO parallel to KJ, we must have

\dfrac{LO}{OJ}=\dfrac{LN}{NK}\\\\\Rightarrow \dfrac{x-4}{x}=\dfrac{x-3}{x+2}\\\\\Rightarrow\ (x-4)(x+2)=x(x-3)\\\\\Rightarrow\ x^2-2x-8=x^2-3x\\\\\Rightarrow\ -2x+3x=8\\\\\Rightarrow\ x=8

Hence, the value of x should be 8, so that Line segment N O is parallel to line segment K J.

8 0
3 years ago
Read 2 more answers
Help:
dalvyx [7]

Answer:

Step-by-step explanation:

a. (11x) + (22x)= 33x

b. (-6x) - (-6x) = 0

c. (-13) + (14x) - (+13t) = -13t + 14x - 13

d. (-4t) + (+4t) - (-6t) = 6t

4 0
3 years ago
Read 2 more answers
Need Help
grigory [225]
<h3>Answer:  Approximately 191 bees</h3>

================================================

Work Shown:

One way to express exponential form is to use

y = a*b^x

where 'a' is the initial value and 'b' is linked to the growth rate.

Since we're told 34 bees are there initially, we know a = 34.

Then after 4 days, we have 48 bees. So we can say,

y = a*b^x

y = 34*b^x

48 = 34*b^4

48/34 = b^4

24/17 = b^4

b^4 = 24/17

b = (24/17)^(1/4)

b = 1.090035

Which is approximate.

The function updates to

y = a*b^x

y = 34*(1.090035)^x

------------------------

As a way to check to see if we have the right function, plug in x = 0 and we find:

y = 34*(1.090035)^x

y = 34*(1.090035)^0

y = 34*(1)

y = 34

So there are 34 bees on day 0, ie the starting day.

Plug in x = 4

y = 34*(1.090035)^x

y = 34*(1.090035)^4

y = 34*1.4117629

y = 47.9999386

Due to rounding error we don't land on 48 exactly, but we can round to this value.

We see that after 4 days, there are 48 bees.

So we confirmed the correct exponential function.

------------------------

At this point we can find out how many bees there are expected to be after 20 days.

Plug in x = 20 to get

y = 34*(1.090035)^x

y = 34*(1.090035)^20

y = 190.672374978452

Round to the nearest whole number to get 191.

There are expected to be roughly 191 bees on day 20.

4 0
3 years ago
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