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3 years ago

Find the equation of the linear function represented by the table below in slope-intercept form.

Mathematics

1 answer:

Arturiano [62]3 years ago

8 0

Answer:

Equation of a line, y = mx+c

Slope (m)= (Y2-Y1)/(X2-X1), let Y2=7, Y1=3 , X2=2 and X1=1

m=(7-3)/(2-1)

= 4/1

= 4

Picking any value of y and its corresponding x including m, put them into the equation of the line

y=mx+c

3 =4(1)+c

3=4+c

3-4=c

-1=c

y=mx+c

y=4x+(-1)

y=4x-1

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jeka94

Assignment: $\bold{Solve \ \left(-2x^2\right)^3\cdot \:3x}$

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Answer: $\boxed{\bold{-24x^7}}$

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Explanation: $\downarrow\downarrow\downarrow$

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[ Step One ] Rewrite $\bold{\left(-2x^2\right)^3}$

$\bold{-2^3\left(x^2\right)^3}$

[ Step Two ] Rewrite Equation

$\bold{-2^3\cdot \:3x^6x}$

[ Step Three ] Apply Exponent Rule

Note: $\bold{Exponent \ Rule \ \:a^b\cdot \:a^c=a^{b+c}: \ x^6x=\:x^{6+1}=\:x^7}$

$\bold{-2^3\cdot \:3x^7}$

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4 0

3 years ago

Read 2 more answers

If there was a total of 30 computers and the computer lab is removing 3 broken computers and adding 13 wireless devices, about w

Liula [17]

32.5 % of lab are wireless devices

Solution:

Given that there was a total of 30 computers and the computer lab is removing 3 broken computers and adding 13 wireless devices

Now we can first find out total number of computers and devices in lab

total number of computers and devices in lab = 30 computers - 3 + 13 wireless devices

total number of computers and devices in lab = 30 - 3 + 13 = 40

So there are 40 computers and wireless devices in lab

To find: what percent of the lab are wireless devices

So we have to find what percent of 40 is 13

Let "a" be the required percent

a % of 40 = 13

$\frac{a}{100} \times 40 = 13\\\\a = \frac{13 \times 100}{40}\\\\a = 32.5$

32.5 % of of lab are wireless devices

6 0

3 years ago

True or False?In Exercise,determine whether the statement is true or false given that f(x) = In x.if it is false,explain why or

kompoz [17]

Answer:

The given statement is false.

Step-by-step explanation:

We are given the following in the question:

$f(x) = \text{In } x$

The given statement is

$f(x - 2) = f(x) - f(2), x > 2$

Putting the values on the right side of the given statement

$f(x-2)\\=\text{ln }(x-2) \neq \text{ln }x - \text{ln }2$

Thus, the given statement is false.

This can be explained with the help of an example:

For x = 3

$f(x-2) = f(3-2) = f(1)\\=\text{ln }1 = 0\\f(x)-f(2)\\=\text{ln }3-\text{ln }2 \\=0.4054$

6 0

4 years ago

A local kids play sold 8 adult tickets and 9 child tickets for a total of $205. On day two they sold only 4 adult tickets and 3

Naya [18.7K]

Answer:

The price of 1 adult ticket is $ 11 and price of 1 child ticket is $13

Step-by-step explanation:

Let x be the cost of 1 adult ticket

Let y be the cost of 1 child ticket

Cost of 8 adult tickets = 8x

Cost of 9 child tickets = 9y

We are given that A local kids play sold 8 adult tickets and 9 child tickets for a total of $205

So, 8x+9y=205 ----- 1

Cost of 4 adult tickets = 4x

Cost of 3 child tickets = 3y

We are given that 4 adult tickets and 3 child tickets for a total of $83.

4x+3y=83 ----2

Plot 1 and 2 on graph

8x+9y=205 -- Red line

4x+3y=83 -- Blue line

Intersection point provides the solution

So, Intersection point =(11,13)

So, The price of 1 adult ticket is $ 11 and price of 1 child ticket is $13

4 0

3 years ago

Help me please !!!!

morpeh [17]

Answer:

1. Two endpoints. 2. Always. 3.Always

Step-by-step explanation:

7 0

3 years ago