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3 years ago

What is the difference between y=-2x+3 and the equation in the problem: y = -1.5x + 3?

Mathematics

2 answers:

slega [8]3 years ago

8 0

Yah he is correct, the slope is the only thing that is changing

Ostrovityanka [42]3 years ago

5 0

Answer:

The slope would be different

Step-by-step explanation:

The value by the x is different in both equations while everything else is the same

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PLEASE HELP ILL MARK BRAINLIEST !!!

Alexus [3.1K]

Answer:

a) the common difference is 20

b) $x_8=115 , x_{12}=195$

c) the common difference is -13

d) $a_{12}=52, a_{15}=13$

Step-by-step explanation:

a) what is the common difference of the sequence xn

Looking at the table, we get x_3=16, x_4=36 and x_5= 56

Deterring the common difference by subtracting x_4 from x_3 we get

36-16 =20

So, the common difference is 20

b) what is x_8? what is x_12

The formula used is: $x_n=x_1+(n-1)d$

We know common difference d= 20, we need to find $x_1$

Using $x_3=16$ we can find $x_1$

$x_n=x_1+(n-1)d\\x_3=x_1+(3-1)d\\15=x_1+2(20)\\15=x_1+40\\x_1=15-40\\x_1=-25$

So, We have $x_1 = -25$

Now finding $x_8$

$x_n=x_1+(n-1)d\\x_8=x_1+(8-1)d\\x_8=-25+7(20)\\x_8=-25+140\\x_8=115$

So, $\mathbf{x_8=115}$

Now finding $x_{12}$

$x_n=x_1+(n-1)d\\x_{12}=x_1+(12-1)d\\x_{12}=-25+11(20)\\x_{12}=-25+220\\x_{12}=195$

So, $\mathbf{x_{12}=195}$

c) what is the common difference of the sequence $a_m$

Looking at the table, we get a_7=104, a_8=91 and a_9= 78

Deterring the common difference by subtracting a_7 from a_8 we get

91-104 =-13

So, the common difference is -13

d) what is a_12? what is a_15?

The formula used is: $a_n=a_1+(n-1)d$

We know common difference d= -13, we need to find $a_1$

Using $a_7=104$ we can find $x_1$

$a_n=a_1+(n-1)d\\a_7=a_1+(7-1)d\\104=a_1+7(-13)\\104=a_1-91\\a_1=104+91\\a_1=195$

So, We have $a_1 = 195$

Now finding $a_{12}$ , put n=12

$a_n=a_1+(n-1)d\\a_{12}=a_1+(12-1)d\\a_{12}=195+11(-13)\\a_{12}=195-143\\a_{12}=52$

So, $\mathbf{a_{12}=52}$

Now finding $a_{15}$ , put n=15

$a_n=a_1+(n-1)d\\a_{15}=a_1+(15-1)d\\a_{15}=195+14(-13)\\a_{15}=195-182\\a_{15}=13$

So, $\mathbf{a_{15}=13}$

5 0

3 years ago

How can you solve problems by ordering rational numbers from least to greatest?

Mariana [72]

Answer:

B same form

Step-by-step explanation:

By using them for fractions or decimals. You can compare fractions by having them from least to greatest and it helps in getting the same denominator for fractions.

6 0

3 years ago

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The triangles indicated are similar. Solve for x.

sergejj [24]

Hope this helps.................

5 0

3 years ago

(4y^2)^3(3y^2) Please help :)

Ierofanga [76]

Answer:

192y^8

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Can you please show work please

-BARSIC- [3]

Answer:

1) y = 3x+5

2) y = $\frac{1}{2}x-4$

3) y = -x + 0

4) y = $-\frac{5}{3}x+8$

5) y = $\frac{3}{5} x - 7$

Step-by-step explanation:

y = mx+b

In slope-intercept form, these are important to know:

- y and x should stay as variables

- m = slope of the line

- b = y intercept

Using the facts above⬆, we can solve these problems

Remember: Substitute m and b using the given information

1) y = 3x+5

2) y = $\frac{1}{2}x-4$

3) y = -x + 0

4) y = $-\frac{5}{3}x+8$

5) y = $\frac{3}{5} x - 7$

Hope this helps :)

Have a great day!

3 0

2 years ago