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3 years ago

Find a slope for y=1.5x+1

Mathematics

2 answers:

lutik1710 [3]3 years ago

7 0

Answer:

1.5

Step-by-step explanation:

Slope-intercept form:

$y=mx+b$ , where m is the slope and b is the y-intercept.

Looking at this equation, you can get these values:

$m=1.5\\b=1$

The slope is 1.5.

MAXImum [283]3 years ago

3 0

Answer:1.5

Step-by-step explanation:

Comparing y=1.5x+1 with the general equation y=mx+c.we found out that since m is the slope for the general equation therefore 1.5 is the slope for the equation y=1.5x+1

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Find the equation of the inverse.<img src="https://tex.z-dn.net/?f=y%20%3D%20%20%7B2%7D%5E%7Bx%20%2B%205%7D%20%20-%206" id="TexF

Contact [7]

Find the equation of the inverse.

$y = {2}^{x + 5} - 6$

we have

$y=\mleft\{2\mright\}^{\mleft\{x+5\mright\}}-6$

step 1

Exchange the variables

x for y and y for x

$x=\{2\}^{\{y+5\}}-6$

step 2

Isolate the variable y

$(x+6)=2^{(y+5)}$

apply log both sides

$\begin{gathered} \log (x+6)=(y+5)\cdot\log (2) \\ y+5=\frac{\log (x+6)}{\log (2)} \\ \\ y=\frac{\log(x+6)}{\log(2)}-5 \end{gathered}$

step 3

Let

$f^{(-1)}(x)=y$

therefore

the inverse function is

$f^{(-1)}(x)=\frac{\log(x+6)}{\log(2)}-5$

7 0

1 year ago

What is the product? 7⋅(−4)⋅(−6) −168 −3 17 168

Lunna [17]

Answer:

The Product of 7⋅(−4)⋅(−6) −168 −3 is<em> </em><u>-3</u>

8 0

3 years ago

The graph below shows the amount of money left in the school’s desk fund, f, after d desks have been purchased. A graph titled D

natima [27]

Answer:

$110

Step-by-step explanation:

The computation is shown below:

Provided that

Number of desk purchased Fund Left $

0 700

1 590

2 480

3 370

4 260

5 150

6 40

Now the Fund decreased while purchasing is

= 5 desks - 2 desks

= 3 desks

i.e

= $480 - $150

= $330

Now the amount of money left for decreased the desk fund is

$= \frac{Fund\ decreased }{number\ of\ desk\ decreased}$

$= \frac{\$330}{3\ desk}$

= $110

3 0

3 years ago

Read 2 more answers

Use the value of the first integral I to evaluate the two given integrals. I = integral^3_0 (x^3 - 4x)dx = 9/4 A. integral^3_0 (

Troyanec [42]

Answer:

A) -9/2

B) 9/4

C) -9/2, same as A)

Step-by-step explanation:

We are given that $I=\int_0^3 x^3-4x dx=9/4$ . We use the properties of integrals to write the new integrals in terms of I.

A) $\int_0^3 8x-2x^3 dx=\int_0^3 -2(x^3-4x) dx=-2\int_0^3 x^3-4x dx=-2I=-9/2$ . We have used that ∫cf dx=c∫f dx.

B) $\int_3^0 4x - x^3 dx=-\int_0^3 (4x-x^3) dx=\int_0^3-(4x-x^3) dx=\int_0^3 x^3-4x dx=I=9/4$ . Here we used that reversing the limits of integration changes the sign of the integral.

C) It's the same integral in A)

4 0

3 years ago

1.) A six-sided number cube is rolled, and the spinner

sammy [17]

Answer:

Step-by-step explanation:

The question is not totally clear. I will assume that the spinner has 2 colors, red and blue.

Your chances of rolling a 3 are 1 in 6 = 1/6

Your chance of getting blue is 1/2

Your chances are 1/2 * 1/6 = 1/12

As a decimal that is 0.0833333

As a % it is 8.3333 %

8 0

3 years ago