Solve the slope for the table.

Answer:

t is a right angle q is a vertex of a right angle

Answer:

-4 (as - and + = -)

Step-by-step explanation:

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The ordered pairs  that make this equation true is (4, 10)

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Given the linear equation: y = 10x - 30:

At (1, -12): y = 10(1) - 30 = -20 ≠ -12

At (8, 1): y = 10(8) - 30 = 50 ≠ 1

At (4, 10): y = 10(4) - 30 = 10

At (6, 20): y = 10(6) - 30 = 30 ≠ 20

The ordered pairs  that make this equation true is (4, 10)

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Answer:

0.04

Step-by-step explanation:

Answer:

0.05

Step-by-step explanation:

don't want to write it

Answer:

Step-by-step explanation:

Table

Answer:

Y=-4x+99

Step-by-step explanation:

Your y intercept is always the last number in the equation

The equation in slope-intercept form to represent the temperature y after x hour is Y=-4x+99

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

The slope of the line is calculated as follows:

m = Δy/Δx

Given that At 1:40 PM, the temperature is 99˚F. For the rest of the evening, the temperature drops an average of 4˚F per hour.

Therefore, the slope of the line is;

m = Δy/Δx

m = 4

The equation in slope-intercept form is;

Y=-4x+99

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Use the Pythagorean Theorem  [tex]a^2 + b^2 = c^2[/tex].

Since we have 2 sides we can easily solve for the third.

[tex]c^2 = 10^2 + 14 ^2[/tex]

[tex]c = \sqrt{100 + 196}[/tex][tex]= \sqrt{296}[/tex] ≈[tex]17.205[/tex]

Answer:

Step-by-step explanation:

Let n represent am unknown number

Q1) The sum of five times a number and six:

Let n represent an unknown number.

The expression is

Step-by-step explanation:

I guess, it means every meter costs these amounts.

and the specified costs are not fit the whole bundle.

it is also unclear, if "half of it" means half of the original x meters, or half of the remaining meters (after selling 2/5 of the original meters). I assume the first.

so, we have

-5x

+ 2/5x × 5.5

+ 1/2x × 6.4

+ (10/10 - 4/10 - 5/10)x × 6 = + 1/10x × 6

= 120 ( a income minus costs is the profit, so balancing both sides in a "+" and "-" expression gives us the remaining profit).

about the line with the 1/10 :

the leftovers. 10/10 is the whole x at the beginning.

2/5 = 4/10.

1/2 = 5/10.

I brought all involved fractions to the same denominator of the smallest common multiple of 2 and 5 (10).

in full

-5x + (2/5)x×5.5 + (1/2)x×6.4 + (1/10)x×6 = 120

-5x + 2.2x + 3.2x + 0.6x = 120

-5x + 6x = 120

x = 120

so, he bought 120m in the first place.

Answer:

C

Step-by-step explanation:

Slope of a line that goes trough the points (x1=9, y1=1) and (x2=17, y2=2)

m= (y2-y1)/(x2-x1) = (2-1) / (17-9) = 1/8

Answer:

-2x-1

Step-by-step explanation:

first you simplify what is inside the parenthesis to get: -1/3(6x+3)

then, you distribute the -1/3 to each of the numbers inside the parenthesis to get: -2x-1

01.

2x-3y=-24

-3y=-2x-24

3y=2x+24

y=(2x+24)/3

02.

x+(6*2)=18

x=18-12

x=6

Answer: y =  2/ 3 x+8, and x = 6

Step-by-step explanation: 2x−3y+−2x=−24+−2x                                                   −3y /−3  =  −2x−24 /−3                                                                                                     y =  2/ 3 x+8                                                                                                                           x+(6)(2) = 18                                                                                                                          x+12+(-12) = 18+-12                                                                                                                x = 6

Answer:

Step-by-step explanation:

Remove The decimal,

= > 0.012 = 12/100

= > 3/25...ans

Answer:The first option is correct

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

3rd option because m is bigger than or equal -2 which means that it is going to be from [-2,infinity[

Answer: z = 18

Step-by-step explanation:

180 = 90 + (3z+4) + (2z-4)

z = 18

Answer:

81/256

Step-by-step explanation:

The exponent 4 is meaning how many times you have to multiply a number it is on top of.

So you need to multiply 3/4, 4 times by itself

So

3/4* 3/4* 3/4* 3/4

3 times 3 times 3 times 3 is 81

4 times 4 times 4 times 4 is 256

So the answer is 81/256

Hope this helps!

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The equivalent expression is ~

just assume the whole thing in brackets as a single variable and perform addition ~

Answer:

Step-by-step explanation:

expand and simplify (x+3)²

(x+3)² =

x² + 9 + 2 × x × 3 =

x² + 9 + 6x

Answer:

x² + 6x + 9

Step-by-step explanation:

( x + 3 ) ²

( x + 3 ) ( x + 3 )

x ( x + 3 ) + 3 ( x + 3 )

x² + 3x + 3x + 9

x² + 6x + 9

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

Step-by-step explanation:

22/25, 6, 6.21, 137/20, 6.885

Answer:

Linear algebra is flat differential geometry and serves in tangent spaces to manifolds.

Step-by-step explanation:

Linear algebra is the study of lines and planes, vector spaces and mappings that are required for linear transforms. It is a relatively young field of study, having initially been formalized in the 1800s in order to find unknowns in systems of linear equations.

Combined with calculus, linear algebra facilitates the solution of linear systems of differential equations. Techniques from linear algebra are also used in analytic geometry, engineering, physics, natural sciences, computer science, computer animation, and the social sciences (particularly in economics).

Answer:

m = -8/5

Step-by-step explanation:

[tex]m=\frac{-9-7}{8-(-2)} =\frac{-16}{10} =-\frac{8}{5}[/tex]

Hope this helps

Answer:

61 miles

does this help??

Step-by-step explanation:

Answer:

A.) 8x^5 - 3x^4 + 6x^3 - x^2 + 12x - 33

Answer: A

Step-by-step explanation:

Because the only thing that can be combined is - 43 and 10, you just need to combine that and write everything else out.

- 43 + 10 = - 33

Now just write everything out...

8x^5 - 3x^4 + 6x^3 - x^2 + 12x - 33

Which is A

I hope it's about 1.8 sec

Answer:

just open a spreadsheet and put the numbers of students in one line, and the hours worked on another, and select all and create a graph

Step-by-step explanation:

Answer:

y = 2x +2

Step-by-step explanation:

The general slope-intercept equation of a line is y=mx+b , where m is the slope and b is the y-intercept ( where the line intersects the y-axis)

From the graph we see that

m= difference in y/difference in x = (6 - -6)/ (2- -4) = 12/6 = 2

m=2 is the slope

b is where the line cuts the y-axis and is at 2

b=2 is the y-intercept

Substitute m and b in the general equation to find the equation of the graphed line.

y = 2x +2

Revenue, profit and expenses are all integral parts of a company's balance sheet

The expense function is given as:

[tex]\mathbf{E = 8q + 12000}[/tex]

The demand function is given as:

[tex]\mathbf{p = -10p + 20000}[/tex]

(a) The expense in terms of q

This is already given as: [tex]\mathbf{E = 8q + 12000}[/tex]

(b) The expense in terms of p

Substitute -10p + 20000 for p in [tex]\mathbf{E = 8q + 12000}[/tex]

[tex]\mathbf{E = 8(-10p + 20000) + 12000}[/tex]

Expand

[tex]\mathbf{E = -80p + 160000 + 12000}[/tex]

[tex]\mathbf{E = -80p + 172000}[/tex]

(c) The revenue in terms of P

This is calculated as:

[tex]\mathbf{R = p \times q}[/tex]

So, we have:

[tex]\mathbf{R = p \times (-10p + 20000)}[/tex]

Expand

[tex]\mathbf{R = -10p^2 + 20000p}[/tex]

(d) The profit in terms of p

We have:

[tex]\mathbf{R = -10p^2 + 20000p}[/tex] and [tex]\mathbf{E = -80p + 172000}[/tex]

So, the profit P is calculated as:

[tex]\mathbf{P =R - E}[/tex]

This gives

[tex]\mathbf{P =-10p^2 + 20000p +80p - 172000}[/tex]

[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]

(e) The price that yields maximum profit

In (d), we have:

[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]

The maximum price is calculated using:

[tex]\mathbf{p = -\frac{b}{2a}}[/tex]

Where:

[tex]\mathbf{b =20080}[/tex]

[tex]\mathbf{a = -10}[/tex]

So, the equation becomes

[tex]\mathbf{p = -\frac{20080}{2 \times -10}}[/tex]

[tex]\mathbf{p = 1004}[/tex]

Hence, the price that yields the maximum profit is $1004

(f) The maximum profit

In (e), we have: [tex]\mathbf{p = 1004}[/tex]

Substitute 1004 for p in [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]

[tex]\mathbf{P =-10(1004)^2 + 20080(1004) - 172000}[/tex]

[tex]\mathbf{P =9908160}[/tex]

Hence, the maximum profit is $9908160

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Answer:

x < 12/5

Step-by-step explanation:

First, distribute 5 among everything inside the parenthesis to get 5x + 17 > 10x + 5.

Next, subtract 5 on both sides to get

5x + 12 > 10x.

Afterwards, subtract the 5x on both sides to get 12 > 5x.

Finally, divide 5 on both sides to get 12/5 > x (You can always flip it around so that the x is on the other side btw.) Answer is written above⤴⤴⤴.

Hope this helps you :)