what is the slope-intercept form equation that represents the line?

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

so let's get two points from each table to get their slope or rate

for function A hmmm (2 , -5) and (6 , -2), and for function B hmmm (-5, -46) and (7 , -30)

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}}\implies \cfrac{-2+5}{4}\implies \stackrel{\textit{\Large A}}{\cfrac{3}{4}} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-46})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{-30})[/tex]

[tex]\stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-30}-\stackrel{y1}{(-46)}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{(-5)}}}\implies \cfrac{-30+46}{7+5}\implies \cfrac{16}{12}\implies \stackrel{\textit{\Large B}}{\cfrac{4}{3}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{\Large B}}{\cfrac{4}{3}}~~ > ~~\stackrel{\textit{\Large A}}{\cfrac{3}{4}}~\hfill[/tex]

Answer:

  y = {-x, x < 2; x-4, 2 ≤ x < 3; 3x -10, 3 ≤ x < 5; x, 5 ≤ x}

Step-by-step explanation:

The absolute value function is a piecewise linear function that changes its definition when its argument changes sign.

Here, the three different absolute value expressions will change their behavior at three different values of x. That is, this equation will be described by a piecewise linear function in four (4) pieces.

For x < 2:

  y = (3 -x) +(2 -x) -(5 -x) = -x

For 2 ≤ x < 3:

  y = (3 -x) +(x -2) -(5 -x) = x -4

For 3 ≤ x < 5:

  y = (x -3) +(x -2) -(5 -x) = 3x -10

For 5 ≤ x:

  y = (x -3) +(x -2) -(x -5) = x

In summary, the equation can be written ...

  [tex]y=\begin{cases}-x,&\text{for }x < 2\\x-4,&\text{for }2\le x < 3\\3x-10,&\text{for }3\le x < 5\\x,&\text{for }5\le x\end{cases}[/tex]

_____

Additional comment

The absolute value function itself can be described by ...

  [tex]y=|x-a|=\begin{cases}a-x,&\text{for }x < a\\x-a,&\text{for }a\le x\end{cases}[/tex]

Answer:

5

Step-by-step explanation:

hope this helps!

Answer:Real estate agent

Step-by-step explanation:

got it right

Answer:

Real Estate Agent

Step-by-step explanation:

Answer: I think it is C

Step-by-step explanation: 32/4=8 so 1 cm = 8km

Answer:

-8

Step-by-step explanation:

-24=6-(4x24)+18= 6-96+18=-90+18=-72

-8=6-(4x8)+18= 6-32+18=-26+18=-8

Answer:

n is equal to -3

Step-by-step explanation:

11n - 11 + 35 = 3n

11n + 24 = 3n

11n - 3n = -24

8n = -24

n =-3

Answer:

n is equal to -3

Step-by-step explanation:

.

Answer:

The average amount spent is $120

Step-by-step explanation:

To find the average, divide 600 by 5 to get 120.

Answer:

120

Step-by-step explanation:

Step-by-step explanation:

for perpendicular:

m1×m2= -1

Answer:

The combined income each month should be $4,515.08. If it needs to be rounded, then it's just 4,515.

Step-by-step explanation:

All you needed to do was add.

Hope this helps you out

Answer:

No. of Permutations=3360.

Step-by-step explanation:

[tex]watch.some.anime[/tex]

The number of distinct permutations that can be formed using the letters of the word believable is 15,1200.

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

It is given that:

The word is:

"believable"

Total number of letters = 10

b repeated two(2) times

e repeated three(3) times

l repeated two(2) times

No. of Permutations = 10!/(2!3!2!)

No. of Permutations = 15,1200

Thus, the number of distinct permutations that can be formed using the letters of the word believable is 15,1200.

Learn more about permutation and combination here:

https://brainly.com/question/2295036

#SPJ5

Answer:

Period:  [tex]\pi[/tex]

Midline:  y = -3

Amplitude:  4

Range:   [-7, 1]

Step-by-step explanation:

Period - from one peak to the next (or from one trough to the next)

⇒ Period:  [tex]\pi[/tex]

Midline - center line

Range = -7 ≤ f(x) ≤ 1

[tex]\implies \sf midline =\dfrac{1-(-7)}{2}+(-7)=-3[/tex]

⇒ Midline:  y = -3

Amplitude - height from the center line to the peak (or to the trough)

Maximum height:  y = 1

center line:  y = -3

Therefore, amplitude = 1 - (-3) = 4

Range - the set of all values that the function takes

-7 ≤ f(x) ≤ 1  →  [-7, 1]

#Period

Find the distance between two peaks

#Midline

Range of the pitch (Peak to trough distance)

Midline:-

[tex]\\ \tt\Rrightarrow \dfrac{1+7}{2}-7=4-7=-3[/tex]

#Amplitude

Distance:-

#Range

The pitch

Answer: reflection across y = x

Step-by-step explanation:

Answer:

Rotation of 180°

Step-by-step explanation:

The 99% confidence interval for the population mean will be x± [tex]\frac{2.58 s}{\sqrt{n} }[/tex].

A confidence interval is a set of calculations for an unrecognized parameter that is specified as a range with a lower and upper bound.

If we take an n-sample from a normal population and wish to estimate the population mean, the confidence interval for the mean is:

[tex]\bar x[/tex]±[tex]Z_\frac{\alpha }{2} \times \frac{s}{\sqrt{n} }[/tex]

The level of significance is found by;

[tex]\rm \alpha =1- \ condifidence\ level \\\\\ \rm \alpha =1- 0.99 \\\\\ \rm \alpha = 0.001[/tex]

The value of z is

[tex]\rm Z_{\frac{\alpha}{2}} = \rm Z_{\frac{0.01}{2}} = Z_{0.005}=2.58[/tex]

Hence the 99% confidence interval for the population mean will be x± [tex]\frac{2.58 s}{\sqrt{n} }[/tex].

To learn more about the confidence interval refer to the link;

https://brainly.com/question/2396419

Answer:

x Overbar plus-or-minus StartFraction 2.58 times s Over StartRoot n EndRoot EndFraction

Step-by-step explanation:

The answer above is correct.

Answer:

c=11

Step-by-step explanation:

We have two points ( 6,5) and (7,c) and a slope of 6

The slope formula is

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

6 = (c-5)/(7-6)

6 = (c-5)/1

6 = c-5

Add 5 to each side

6+5 = c-5+5

11 =c

Answer:

Choice: (3) -12 -(-7)

Step-by-step explanation:

The distance between two points is by definition a positive number. If we wanted to know the distance between points 5 and 8, we should use the absolute value of the difference:

d=|5-8|=8-5=3

The same applies to negative points like -2 and -7:

d=|-2+7|=|2-7|=7-2=5

The only choice that does not result in a positive distance is (3) because

-12-(-7)=-12+7=-5

Thus this is not a distance between two points on a number line.

Choice: (3) -12 -(-7)

Step-by-step explanation:

that's wrong .....wait ...........

Answer:

the answer is easy.. I'm glad to help you out. it is 0.018+ 3.1 × 10^-3. just simply remove the bracket

Answer:

-2

Step-by-step explanation:

h(x) = −2x − 10, find h(−4).

h(−4) = -2 × (-4) - 10

= 8 - 10

= -2

Answer:

-2

Step-by-step explanation:

did the test

Answer: She wants to reduce costs

Step-by-step explanation:

Answer:

She wants the construction to move more quickly

Step-by-step explanation:

this was the correct answer as shown on the quiz. the choices were changed

Answer:

The last one is correct answer.

Answer:

See below.

Step-by-step explanation:

Given :-

To Find :-

Solving :-

Solution :-

Answer:

2.88x=7.2

x=7.2/2.88

x=2.5

=)

Answer:

x=4

Step-by-step explanation:

btw that's what M a t h w a y.

Step-by-step explanation:

Let's start by simplifying our light terms.

[tex]q = \frac{33 \times 10 {}^{9} }{11 \times 10 {}^{7} } [/tex]

33 is divisible by 11 so i can simplify up and down by 11.

[tex]q = \frac{3 \times 10 {}^{9} }{1 \times 10 {}^{7} } [/tex]

Now i have 10^9 in the numerator and 10^7 in the denominator. I can remove 10^7 from up and down to get;

[tex]q = \frac{3 \times 10 {}^{9 - 7} }{1 \times 10 {}^{7 - 7} } = \frac{3 \times 10 {}^{2} }{1 \times 10 {}^{0} } = \frac{3 \times 10 {}^{2} }{1 \times 1} [/tex]

[tex]q = 3 \times 10 {}^{2} [/tex]

And that is your scientific notation.

Answer:

57

Step-by-step explanation:

79-22=57

Answer:

∠c=50°, ∠1=95°, ∠2=135°, ∠3=130°

Step-by-step explanation:

Let's start with [tex]c[/tex]. We know that, universally, every angle in a triangle will add up to be 180°. Therefore, we do [tex]45+85=130[/tex]. Then, [tex]180-130=50.[/tex] This means ∠[tex]c[/tex] = 50°.

Then, for the other angles, we can use the rule that a straight line is equal to 180°. So for example, ∠1 + 85° = 180.

As a result:

∠1 = [tex]180-85=95[/tex]°

∠2 = [tex]180-45=135[/tex]°

∠3 = [tex]180-50=130[/tex]°

Answer:

Space inside tent is 60m³

Step-by-step explanation:

Given length 6m, width 4m is rectangular base and height of tent 5m

Space = Volume of Pyramid = ⅓ × area of base × height

⅓ × 6 × 4 × 5 = 60m³

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

Answer:

☆<《HOPE IT WILL HELP YOU 》>☆

Step-by-step explanation:

Exprassion is 16/45--x=0

Answer:

16 x 5/4

Step-by-step explanation:

u change  division to multiplication then flip the fraction.

tada!

:)

Answer:

1.25 is the common difference

Step-by-step explanation: