Solve for y
(y-k)h=c

The slope of the graph in decimal form is 1.08.

By geometry we know that a line can be constructed after knowing the location of two distinct points. Lines in explicit form are defined by slope and intercept, the former is calculated by the secant line equation and the intercept by solving a linear function.

If we know that [tex](x_{1}, y_{1}) = (4.2, 9.6)[/tex] and [tex](x_{2}, y_{2}) = (6.7, 12.3)[/tex], then the slope of the graph is:

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m = \frac{12.3-9.6}{6.7-4.2}[/tex]

[tex]m = 1.08[/tex]

The slope of the graph in decimal form is 1.08.

We kindly invite to see this problem related to linear functions: https://brainly.com/question/21604915

Answer:

3 have only been in ballet

Step-by-step explanation:

If

5 have been in ballet

9 have been in play

2 have been in both ballet and a play

Then

3 have only been in ballet

7 have only been in a play

Answer:

4 students

Step-by-step explanation:

add 2 + 5 = 7

add 9 + 2 = 11

subtract 11 - 7 = 4

there was 2 students added to the 5 students, there was 2 students added to the 9 students/ Sorry if incorrect, i worked it out 4 times.

Answer:

-8n - 32

Step-by-step explanation:

Distribute the -4 to the other terms.

-4 · 2n = -8n

-4 · 8 = -32

Answer: -8n-32

Step-by-step explanation:

Expand the equation, multiply all the terms by -4: -4(2n)+(-4)(8)

Evaluate: -8n+(-32)

Simplify the +(-32) into -32: -8n-32

Answer:

5) "C"

6) DOMAIN: {-3,-1,2,4,6}

    RANGE:   {4,1,2,-2,6}

Step-by-step explanation:

▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄

The value of a polynomial p(x) or f(x) at x = α is obtained by putting x = α in p(x) or f(x) and it is denoted by p(α) ...!

Let f(x) = 4x - 5

⇒f(2) = 4(2) - 5

= 4 × 2 - 5

= 8 - 5

= 3

Hence, If f(x) = 4x-5 then the value of f(2) will be 3 ...!

▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄

Answer:

Step-by-step explanation:

Answer:

7/5

Step-by-step explanation:

Answer:

1[tex]\frac{2}{5}[/tex] of an acre or 1.4 acres.

Step-by-step explanation:

The least common multiple of 10 and 2 is 10.

Convert [tex]\frac{9}{10}[/tex] and [tex]\frac{1}{2}[/tex] to fractions with a denominator of 10.

[tex]\frac{9}{10}[/tex]+[tex]\frac{5}{10}[/tex]

Since these fractions now have the same denominator, add them by adding the numerators.

[tex]\frac{9+5}{10}[/tex]

Add 9 and 5 to get 14.

[tex]\frac{14}{10}[/tex]

Reduce the fraction to the lowest terms by extracting and canceling out 2.

[tex]\frac{7}{5}[/tex]= [tex]1\frac{2}{5}[/tex] =1.4

hope this helps!

Answer:

a rotation of 180° about the origin

Equation of line is y = mx +b

Passing through (-3,7 )

X= -3, y= 7

plug in these

7 = -3m + b ... .Eq1

Also X = 4 , y= 10

10 = 4m + b ............... Eq 2

Solve Eq 1 and Eq 2 for m and b

m= 3/7

b= 58/7

Thus y =( 3/7) X + 58/7 is equation of line

0r 7y = 3X +58

Answer:

11x+3+8x+6=180(Linear pair)

19x+9=180

19x=171

x=9°

Answer:

6

Step-by-step explanation:

I am thinking it is 6 because you can just look at b and it looks the same

so I think it would be the same answer

Answer:

[tex]$x=\frac{-1}{5},[/tex]

[tex]y=\frac{2}{5},[/tex]

[tex]z=3$[/tex]

Step-by-step explanation:

Given system of equations in the form of the matrix shown below,

[tex]$A=\left[\begin{array}{ccc}1 & -2 & 0 \\ 1 & 3 & 5 \\ 1 & -1 & -1\end{array}\right] \quad B=\left[\begin{array}{c}4 \\ -1 \\ 3\end{array}\right]$[/tex]

[tex]$\left[\begin{array}{ccc}1 & -2 & 0 \\ 1 & 3 & 5 \\ 1 & -1 & -1\end{array}\right]\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\left[\begin{array}{c}4 \\ -1 \\ 3\end{array}\right]$[/tex]

[tex]$\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\frac{1}{-10}\left[\begin{array}{ccc}2 & -6 & -4 \\ -2 & -1 & 1 \\ -10 & 5 & 5\end{array}\right]\left[\begin{array}{c}4 \\ -1 \\ 3\end{array}\right]$[/tex]

[tex]$\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\frac{1}{-10}\left[\begin{array}{c}8+6-12 \\ -8+1+3 \\ -40-5+15\end{array}\right]$[/tex]

[tex]$\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\frac{1}{-10}\left[\begin{array}{c}2 \\ -4 \\ -30\end{array}\right]$[/tex]

[tex]$\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\left[\begin{array}{l}\frac{2}{-10} \\ \frac{-4}{-10} \\ \frac{-30}{-10}\end{array}\right]$[/tex]

[tex]$\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\left[\begin{array}{c}-1 / 5 \\ 2 / 5 \\ 3\end{array}\right]$[/tex]

Learn more about matrix refer:

Answer:

x=-5

Step-by-step explanation:

add 3 to -8

1 Regroup terms.

x-3=-8

x−3=−8

2 Add 33 to both sides.

x=-8+3

x=−8+3

3 Simplify  -8+3−8+3  to  -5−5.

x=-5

x=−5

Answer: x=−5

Answer:

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

entered :

-|3x-9|+2=-4

Step by step solution :

STEP

1

:

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

-|3x-9|+2 = -4

Another term is moved / added to the right hand side.

To make the absolute value term positive, both sides are multiplied by (-1).

|3x-9| = 6

STEP

2

:

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |3x-9|

For the Negative case we'll use -(3x-9)

For the Positive case we'll use (3x-9)

STEP

3

:

Solve the Negative Case

-(3x-9) = 6

Multiply

-3x+9 = 6

Rearrange and Add up

-3x = -3

Divide both sides by 3

-x = -1

Multiply both sides by (-1)

x = 1

Which is the solution for the Negative Case

STEP

4

:

Solve the Positive Case

(3x-9) = 6

Rearrange and Add up

3x = 15

Divide both sides by 3

x = 5

Which is the solution for the Positive Case

STEP

5

:

Wrap up the solution

x=1

x=5

I hope this help you

Answer: x= 1, 5

Step-by-step explanation:

First, isolate the absolute value. Subtract two from the equation to get -l3x-9l=-6, and then divide by -1 to get l3x-9l=6.

Since an absolute value measures how far away a value is from zero, it's always positive. For example, -10 and 10 have the same absolute value, 10, because they're both 10 units away from zero.

Because of this, you create two equations; 3x-9=6, and 3x-9=-6.

For the first equation, add 9 to 6 and divide that by 3 to get x=5.

For the second equation, add 9 to -6 and divide that by 5 to get x=1.

Answer: 3

Step-by-step explanation:

My calculator shows that

(2.1)/(1.488) = 1.41129

which is approximate. If you want the result to two decimal places, then it would be 1.41 and not 1.40

Try 1.41 and it should work out, assuming your teacher wants two decimal places.

Step-by-step explanation:

This is the same as

[tex]( \frac{2}{3} ) {}^{5 {}^{0.4} } = \frac{2}{3} {}^{2} = \frac{4}{9} [/tex]4/9 is the answer

Step-by-step explanation:

Expression = x + 2x + 7 + 3x + 1

Simplication

x + 2x + 7 + 3x + 1

6x + 8

Answer:

B. –48

Step-by-step explanation:

Answer:y=-48

Step-by-step explanation:

4*(2*-6)=-48

Answer:

The correct answer is y= 1/16

Step-by-step explanation:

2^-6 is 1/64 multiplied by 4 is 1/16

Substitute the value of the variable into the expression and simplify.

( − 6 , − 48 )

Answer:

647/ 4.8 ×9.7

Step-by-step explanation:

so what you need to do is 647 round up to 650 because 1-4 you get less but more than 5-9 u get more than that

4.8 becomes 5 and 9.7 becomes 10

650 /5×10

and u ill get 1,300 i hope this hepls u :)

Answer:

GCF is 8

32x - 24 = 8(4x - 3)

Step-by-step explanation:

Answer:

[tex]35+0.50t=51[/tex]

Step-by-step explanation:

Since the $35 is a one-time fee, 0.50 is the rate, t is the variable, and 51 is the total bill, we can form the equation:

[tex]35+0.50t=51[/tex]

Answer:

0.50t+35=51

Step-by-step explanation:

0.50 is the amount for each text message so it becomes 0.50t (0.50 × text message). This is added to the monthly cost which is 35 dollars (+35) the question wants an equation as the answer so (=51).

Answer: $535

Step-by-step explanation

He will be able to buy the refrigerator with the amount he deposited ($500) plus the interest generated from it ($35)(which we get by doing the following):

So the formula for interest is

Interest = (principal ×interest rate × time for which the money was deposited) / 100

Interest = ?

Principal = $500

Interest rate = 7%

Time = 1 year

Now

Interest = (500 × 7 × 1) / 100

Interest = 3500/ 100

Interest = $35

So the refrigerater's cost = 500 + 35

Cost = $ 535