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3 years ago

Find the equation of the linear function represented by the table

Mathematics

1 answer:

Nikitich [7]3 years ago

6 0

9514 1404 393

Answer:

y = 3x +3

Step-by-step explanation:

The slope of the line can be found using the slope formula:

m = (y2 -y1)/(x2 -x1)

Using the first two sets of table values, this is ...

m = (9 -6)/(2 -1) = 3/1 = 3

You can find the point-slope equation using the form ...

y -k = m(x -h) . . . . . . line with slope m through point (h, k)

y -6 = 3(x -1) . . . . . using the first point in the table

Solving for y gives ...

y = 3x -3 +6 . . . eliminate parentheses, add 6

y = 3x +3

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Midpoint segment (-1,5) (-6,-2)

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Answer:

the answer is €74£ and if you dont get dats juss u get it together

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4 years ago

X+2/4=3/8 Solve for x pls!!

Oksana_A [137]

Answer:

x= $\frac{1}{2}$ or 0.5

Step-by-step explanation:

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3 years ago

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The half-life of a radioactive substance is the time it takes for a quantity of the substance to decay to half of the initial am

posledela

Step-by-step walkthrough:

Well a standard half-life equation looks like this.

$N = N_0 * (\frac{1}{2})^{t/p$

$N_0$ is the starting amount of parent element.

$N$ is the end amount of parent element

$t$ is the time elapsed

$p$ is a half-life decay period

We know that the starting amount is 74g, and the period for a half-life is 2.8 days.

Therefore you can create a function based off of the original equation, just sub in the values you already know.

$N(t) = 74g * (\frac{1}{2})^{t/2.8days$

This is easy now that we have already made the function. Here we just reuse it, but plug in 2.8 days.

$N(t) = 74g * (\frac{1}{2})^{t/2.8days} = N(2.8days) = 74g * (\frac{1}{2})^{2.8days/2.8days}\\= 74g * \frac{1}{2} = 37g$

Now we just gotta do some algebra. Use the original function but this time, replace $N(t)$ with 10g and solve algebraically.

$10g = 74g * (\frac{1}{2})^{t/2.8days}\\\\\frac{10g}{74g} = (\frac{1}{2})^{t/2.8days}$

Take the log of both sides.

$log(\frac{5}{37}) = log((\frac{1}{2})^{t/2.8days})$

Use the exponent rule for log laws that, $log(b^x) = x*log(b)$

$log(\frac{5}{37}) = \frac{t}{2.8days} * log(\frac{1}{2})$

$\frac{log(\frac{5}{37})}{log(\frac{1}{2})} = \frac{t}{2.8days}$

$2.8 * \frac{log(\frac{5}{37})}{log(\frac{1}{2})} = t$

slap that in your calculator and you get

$t = 8.1 days$

7 0

2 years ago

Juanita is converting 7 meters to inches. Will the number of inches be less than or greater than 7?

MakcuM [25]

The number of inches will be greater than 7

5 0

4 years ago

Read 2 more answers

WORTH 12 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! HELP ASAP

IrinaK [193]

Answer:

$\large\boxed{S.A.=1,000\ u^2}$

Step-by-step explanation:

We have two congruent right triangles and three rectangles.

First, calculate the length of the hypotenuse using the Pythagorean theorem:

$leg^2+leg^2=hypotenuse^2$

We have

$leg=8,\ leg=15,\ hypotenuse=h$

Substitute:

$h^2=8^2+15^2\\\\h^2=64+225\\\\h^2=289\to h=\sqrt{289}\\\\h=17$

The formula of an area of a right triangle:

$A_t=\dfrac{(leg)(leg)}{2}$

Substitute:

$A_t=\dfrac{(8)(15)}{2}=(4)(15)=60$

The formula of an area of a rectangle:

$A=wl$

w - width

l - length

Rectangle 1:

w = 15, l = 22

$A_1=(15)(22)=330$

Rectangle 2:

w = 17, l = 22

$A_2=(17)(22)=374$

Rectangle 3:

w = 8, l = 22

$A_3=(8)(22)=176$

The Surface Area of the triangular prism:

$S.A.=2A_t+A_1+A_2+A_3$

Substitute:

$S.A.=2(60)+330+374+176=1,000$

8 0

4 years ago