solve 7x> 5x + 2. show the graph of the solution on the number line​

The equation of the line is y = (2/3)x -1

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

From the given graph, we have two points (0, 1) and (3,3)

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

y - 1= (3 -1 ) / (3 -0) x (x -0)

y = (2/3)x -1

The equation of the line is;

y = (2/3)x -1   {equation 1}

Slope intercept form of a line is

y = mx + b          {equation 2}        ,

where m is the slope and b is the y-intercept.

On comparing the equation (1) and (2) we get

It means,

Slope = 2/3

y-intercept = -1

Therefore, the equation of the line is y = (2/3)x -1

To learn more about the slope;

brainly.com/question/3605446

#SPJ6

Answer:

[tex]sec^2(x)[/tex]

Step-by-step explanation:

The function that best approximates the given situation is sec²x.

We have to find

[tex]\lim_{h \to\00} \frac{tan(x+h)-tan x}{h}[/tex]

Since the given expression reduces to 0/0 form when we apply the limits

So, let us apply the L'hospital rule

L'Hospital's Rule tells us that if we have an indeterminate form 0/0 or ∞/∞ all we need to do is differentiate the numerator and differentiate the denominator and then take the limit.

So, after differentiating the numerator as well as the denominator of the given expression with respect to h we get

[tex]\lim_{h \to\00} \frac{sec^2(x+h)-0}{1}[/tex]

[tex]= lim_{h \to\00} \frac{sec^2(x+0)}{1}\\\\= sec^2x[/tex]

Therefore, the function that best approximates the given situation is sec²x.

To get more about limits visit:

https://brainly.com/question/23935467

Answer:

2187

Step-by-step explanation:

Multiply 3 seven times in your calcultor to check this answer or look it up on google

Answer:

The relation is a FUNCTION

Step-by-step explanation:

as you can see the value of domain or the x there's no repeating number at all.

Answer:

Not a function

Step-by-step explanation:

(0,3),(3,5) and (0,3),(-6,-2) hit (3,5),(-2,6)

8ºC below 0 is -8ºC (negative eight degrees celsius).

Below means subtract. 0 - 8 = -8.

Answer:

110

Step-by-step explanation:

219 divided by 2 equals 109.5, so you basically just round to the nearest whole number. You should get 110, thus, your answer. Of course, you could just leave it as 109.5, but if you want it estimated, or simplified, the information above should help.

Hope this helps!

Answer:

Point form:

(1, -1)

Equation form:

x=1, y=-1

Step-by-step explanation:

I hope the work wasnt part of the assignment cause i really have trouble showing mine.

Answer:

5%

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

using the box method,

multiply 9 × 100

= 900 and divide 900 by 15

900 ÷ 15 = 60%

60% is the amount of pitches he hit

100% - 60% = 40%

he missed 40%

Answer:

4c

Step-by-step explanation:

1c+3c = 4c

Answer:

-3,-2,-1,-0.8,0.8,1,7

Step-by-step explanation:

brainliest please

Answer:

-3, -2, -0.8, 0.8, 1, 1, 7

Step-by-step explanation:

negatives first then positive

Answer:

D. Marcus rent a car for 5 days

Step-by-step explanation:

You can solve this by simply plugging the answer choices into the variable d for both equations and comparing the total costs.

When you plug in 5 days you get:

Plan A

C = 30 x 5

C = 150

Plan B

C = 25 x 5 + 15

C = 140

The cost is less for Plan B in this case, so it is better to use Plan B when renting for 5 days.

Answer:

the new notebook price is

Step-by-step explanation:

10% of $2.00 is 20 cents. 5% is 10 cents. 20+10= 30. 30 cents. $2.00+30 = $2.30

Answer:

1) The amount the family spent on pizza is $300

2) The amount the family spent on soda is $43.2

3) The amount the family spent in all is $343.2

Step-by-step explanation:

The number of pizzas bought by the family = 24

The price of each pizza = $12.50

The number of bottles of soda the family bought = 36

The price of each bottles of soda = $1.20

1) The amount the family spent on pizza = 24 × $12.50 = $300

2) The amount the family spent on soda = 36 × $1.20 = $43.2

3) The amount the family spent in all = The amount the family spent on pizza + The amount the family spent on soda

∴ The amount the family spent on soda = $300 +$43.2 = $343.2.

Answer:

Sure this is a question from probability

Possible 2^n can be use

2^35 =3.432597387 × 10^10

Step-by-step explanation:

I'm not sure

Paula can create number of possible ways of pictures are 35!.

A permutation is defined as a mathematical process which determines the number of different arrangements in a set of objects when the order of the sequential arrangements.

Given that Paula has 35 unique puzzle pieces

So, the method of organizing possible pictures can she create dependent on each other to succeed.

There is an arrangement process

It is equal to the permutation of 35 numbers

⇒ ³⁵P₃₅

The formula of ⁿPₓ = n!/(n-x)!

⇒ 35!/(35-35)!

⇒ 35!/0!           [∵ 0! = 1]

⇒ 35!

Hence, Paula can create number of possible ways of pictures are 35!.

Learn more about permutation here:

brainly.com/question/1216161

#SPJ5

Answer:455.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 is x and 0 is y while 6 is x and -3 is y and 6,-3 is the 2nd graph

Answer:

3 and 4 or C and D

Step-by-step explanation:

The independent value is the quantity of rice. The dependent value is the volume of water. B and C are the appropriate choices.

An ordered pair of numbers a and b, expressed as a / b, is a ratio if b is not equal to 0. An equation that balances two ratios is known as a percentage. The numerical relationship between the two numbers illustrates how frequently one value contains or is contained within another.

Regarding the ratio of rice to water, the adages "The amount of rice is the independent value" and "The amount of water is the dependent value" are applicable.

The amount of rice is the independent value because it is the value that is being varied or controlled in the ratio. The amount of water is the dependent value because it depends on the amount of rice used in the ratio.

Therefore, the correct options are:

The independent value is the quantity of rice.

The dependent value is the volume of water.

To know more about ratios follow

https://brainly.com/question/14063853

#SPJ7

Answer:

b

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

The slope increases by 1/3.

The slope formula is y2-y1/x2-x1.

When you plug in the points and simplify, you get 1/3.

Answer:

any options that were given to you?

Answer:

its D

Step-by-step explanation:

D on edge 2020

Answer:

No, It is not a function!

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

1/8 = 12.5%

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

1:no 2:yes 3:no 4:yes 5:no.

Step-by-step explanation:

The first one is not equivlent the second one is equivlent and third one is not equivlent the forth one is equivlent and the fifth one is not equivlent.

Answer:

C. 4x + y = 21

Step-by-step explanation:

X + 2y = 21

A. 4x + 6y = 64

B. 2x + y = 36

C. 4x + y = 21

D. -3x + 4y = 33

E. 3x + 2y = 28

x = 3

y = 9

X + 2y = 21

3 + 2(9) = 21

3 + 18 = 21

21 = 21

A. 4x + 6y = 64

4(3) + 6(9) = 64

12 + 54 = 64

66 is not = 64

B. 2x + y = 36

2(3) + 9 = 36

6 + 9 = 36

15 is not = 36

C. 4x + y = 21

4(3) + 9 = 21

12 + 9 = 21

21 = 21

The last one is the best answer choice

An outlier is not near the main cluster of data

little tip to help you remember is that the name is outlier and out means out and outliers are always out of the main cluster of data

Answer:

-4.5

Step-by-step explanation:

-9/2= -4.5

Answer:

perpendicular line: y = -[tex]\frac{1}{4}[/tex]x - [tex]\frac{9}{4}[/tex]

parallel line: y = 4x - 15

Step-by-step explanation:

Perpendicular line:

A perpendicular line to y = 4x-3 would have a slope that is the negative reciprocal (flip the fraction and add a negative sign). The negative reciprocal of 4 is - [tex]\frac{1}{4}[/tex].

Now that we have our slope, we can plug the given point of (3, -3) into the slope-intercept equation to find b.

-3 = - [tex]\frac{1}{4}[/tex](3) + b

-3 = - [tex]\frac{3}{4}[/tex] + b

Add [tex]\frac{3}{4}[/tex] to each side of the equation to isolate b.

-[tex]\frac{9}{4}[/tex] = b

Now we can write our equation, y = -[tex]\frac{1}{4}[/tex]x - [tex]\frac{9}{4}[/tex]

Parallel Line:

A parallel line to y = 4x-3 has the same slope. To find the equation, plug the slope and given point (3, -3) into the slope intercept equation and solve for b.

-3 = 4(3) + b

-15 = b

Now you can write the equation, y= 4x -15

Answer: 6/7 is the slope

Step-by-step explanation: 9-3/8-1

y2-y1/X2-X1  

Answer:

14 Serving

Step-by-step explanation:

If you multiply 1/3 14 times.

they're 13 1/3 pound servings in 4 2/3 pounds of cheese

Answer:

3

Step-by-step explanation:

You take 8.25+1.25 and get 9.5. Then you add 9.5 and add it again, until you get a whole number. Then 9+3 is also 12 so, you answer is 3 toppings.