Write an equation for the graph below in slope-intercept form:

Answer: x=7

Step-by-step explanation: 4(7+4)=44. 7(7)-5=44.

Answer:

x=7

Step-by-step explanation:

4(x + 4) = 7x - 5

Distribute

4x+16 = 7x-5

Subtract 4x from each side

4x+16 -4x = 7x-5-4x

16 = 3x -5

Add 5 to each side

16+5 = 3x-5+5

21 = 3x

Divide by 3

21/3 = 3x/3

7 =x

Step-by-step explanation:

We are given 4x+y=6x-1 to graph. The easiest way to graph is to turn this equation into slope-intercept form, which is y=mx+b.

First, we are going to subtract 4x from both sides to isolate the y variable which gets us y=2x-1, and now we have slope-intercept form. Now we're going to use what we know about the form to graph.

In such form, m is the slope and b is the y-intercept. Our b in our equation is -1, so you're going to put a dot at (0,-1) on the y-axis. Then for our slope, it is 2, but it's easier to envision as rise over run where 2 is how much we rise and 1 is how much we run (or move to the right). So from our starting point from the y-axis, we're going to move up 2 units and then to the right one unit. And with two dots on the graph, we can run a line through it which will give us our graphed line.

For safe measures, you can continue the pattern of rising 2 and running 1, or you can go down 2 and left 1, which is the opposite and yet still confines to the line.

If you don't understand this explanation, I also recommend checking out desmos! It's a graphing calculator online in which you can plug this equation in and it graphs it for you! The file I have attached to this is from desmos to help you see the graph, I hope you do well!

To solve this problem we will have to convert 4x + y = 6x - 1 to point - slope form, for simplicity --- ( 1 )

4x + y = 6x - 1,

- 2x + y = - 1,

Point - Slope Form : y = 2x - 1

Now let's graph this equation. Consider the x - intercept and y - intercept of this graph --- ( 2 )

0 = 2x - 1

2x = 1

x = 1 / 2 = 0.5 ( x - intercept ),

y = 2(0) - 1 = 0 - 1 = - 1 ( y - intercept )

We know that the x - intercept is 0.5, so we can plot the point (0, 0.5). Similarly we can plot the point ( - 1,0 ) given the y - intercept is - 1. After plotting these points we can run a line through them, creating our graph.

Answer:

See explanation below

Step-by-step explanation:

Using the exponent rule for products:

[tex]x^a\,*\,x^b = x^{(a+b)}[/tex]

we can write:

[tex]20^{12}\,*\,20^8=20^{(12+8)}=20^{20}[/tex]

Answer:

3x³ - 3y - 3   or     3(x³ - y - 1)

Step-by-step explanation:

3 - 3 + x³ + 6x³ - 3y - 3 - 4x³

group like terms

= x³ + 6x³ - 4x³ - 3y + 3 - 3 - 3

add similar terms

= 3x³ - 3y - 3   or     3(x³ - y - 1)

Answer:

1.

Original square side: s

Area = s^2

Modified square:

Length = 1.3s

Width = 0.82s

Area = 1.3s * 0.82s = 1.066s^2

(1.066 - 1)/1 * 100% = 6.6%

The area increases by 6.6%

2.

[tex] \dfrac{1}{x} + \dfrac{1}{y} = \dfrac{2}{15} [/tex]

[tex] \dfrac{y}{xy} + \dfrac{x}{xy} = \dfrac{2}{15} [/tex]

[tex] \dfrac{x + y}{xy} = \dfrac{2}{15} [/tex]

[tex] x + y = \dfrac{2xy}{15} [/tex]

[tex] \dfrac{7y + 5xy + 7x}{y + x + 2xy} = [/tex]

[tex] = \dfrac{7x + 7y + 5xy}{x + y + 2xy} [/tex]

[tex] = \dfrac{7(x + y) + 5xy}{x + y + 2xy} [/tex]

[tex] = \dfrac{7(\frac{2xy}{15}) + 5xy}{\dfrac{2xy}{15} + 2xy} [/tex]

[tex] = \dfrac{15}{15} \times \dfrac{7(\frac{2xy}{15}) + 5xy}{\dfrac{2xy}{15} + 2xy} [/tex]

[tex] =  \dfrac{14xy + 75xy}{2xy + 30xy} [/tex]

[tex] =  \dfrac{89xy}{32xy} [/tex]

[tex] =  \dfrac{89}{32} [/tex]

3.

[tex] \dfrac{x - 3}{x^3 + 3x} = \dfrac{A}{x} + \dfrac{Bx + C}{x^2 + 3} [/tex]

[tex] = \dfrac{A(x^2 + 3)}{x(x^2 + 3)} + \dfrac{(Bx + C)x}{(x^2 + 3)x} [/tex]

[tex] = \dfrac{Ax^2 + 3A}{x(x^2 + 3)} + \dfrac{Bx^2 + Cx}{(x^2 + 3)x} [/tex]

[tex] = \dfrac{Ax^2 + 3A + Bx^2 + Cx}{x(x^2 + 3)} [/tex]

[tex] \dfrac{x - 3}{x^3 + 3x} =\dfrac{(A + B)x^2 + Cx + 3A}{x(x^2 + 3)} [/tex]

[tex] A + B = 0 [/tex]

[tex] C = 1 [/tex]

[tex] 3A = -3 [/tex]

[tex] A = -1 [/tex]

[tex] -1 + B = 0 [/tex]

[tex] B = 1 [/tex]

[tex] A + B + C = -1 + 1 + 1 = 1 [/tex]

Answer:

The answer is

Step-by-step explanation:

Volume of a cylinder = πr²h

where

h is the height

r is the radius

From the question

h = 7 in

To calculate the radius from the diameter we use the formula

radius = diameter/2

From the question

diameter = 6

radius = 6/2 = 3 in

Volume of the cylinder is

(3)²(7)π

= 9(7)π

= 63π

= 197.9203

We have the final answer as

Hope this helps you

Answer:

1.) 20 dollars

2.) (2t + 10) dollars

Step-by-step explanation:

Given that There is an automatic fee of $10 just to enter the parking lot, and when she leaves the lot, she will have to pay an additional $2 for every hour she had her car in the lot.

1.) How much total money would London have to pay for parking if she left her car in the lot for 5 hours?

5 × 2 = 10 dollars

Then add the automatic price which is $10

Therefore, London will pay a total of

10 + 10 = 20 dollars

2.) How much would London have to pay if she left her car in the lot for tt t hours?

(2 × t) + 10

2t + 10

The question is incomplete. Here is the complete question.

The football team needed to buy Gatorade for Saturday's big game. They have two options. The first option is they can buy it pre-made in 48 ounces bottles for $3.84 for each bottle. Or they can buy packets and mix with water. Each packet makes 64 ounces and will cost $4.80.

a) Find the cost per ounce of each.

b) Which size costs less?

c) The team will need to buy 192 ounces of Gatorade. How much do you save using the choice from answer b?

Answer: a) Pre-made: $0.08 cost per ounce; Packet: $0.075 cost per ounce

              b) Packets

              c) Save $0.96.

Step-by-step explanation:

a) Cost per ounce:

Pre-made:

[tex]\frac{3.84}{48}[/tex] = 0.08

Packet:

[tex]\frac{4.8}{64}[/tex] = 0.075

b) Comparing costs per ounce, packets costs less than pre-made.

c) Buying packets, the cost will be:

0.075*192 = $14.4

Buying pre-made:

0.08*192 = $15.36

Comparing costs, pre-made is 0.96 more than packets, so they will save 96 cents.

Answer:

{2, 6}

Step-by-step explanation:

Subset: A subset is a set of which all the element are contained or can be find in the universal set.

From the question above,

μ = {1,2,4,5,6}

* The first option {0,1,2} is wrong because  0 is not contained in the universal set.

* The second option {3,4} is wrong because, 3 is not contained in the universal set.

* The third option {5,6,7} is wrong because 7 is not contained in the universal set.

* The last option {2,6} is correct because all of the element of the set are contained in the universal set, and as such makes it a subset.

Hence the subset of {1,2,4,5,6} is {2, 6}

Answer:

Step-by-step explanation:

10 (x + 50) = 90

Answer:#2 is D and #3 is false

Step-by-step explanation:

Answer:

370,4440,001

Step-by-step explanation:

(-2) • (-2) • (10) • (10) • (10) • (10) = 40,000

21 • 21 • 21 = 9261

(-1) • (-1) • (-1) • (-1) = 1

(40,000) (9261) + 1

(370,440,000) + 1 = 370,4440,001

--

exponents

(-2)² + 10⁴ + 21³ + (-1)⁴

Answer:

Step-by-step explanation:

The rate of change in this case is 50 pounds per box. The fixed amount that the elevator must carry is 210 pounds, which is how much he weighs. The amount that varies with additional boxes is 50 pounds per box, making it the rate of change. If this situation was graphed, George's weight would be the y-intercept and the rate of change would be the slope.

Answer:

Total withholding allowances are 39.

Step-by-step explanation:

Given the gross earning of John = $743.61

It is given that 1 withholding allowance = $19

Now we have to find the total number of withholding allowances. Here, the number of withholding allowances can be determined by dividing the total earnings with $19.

Number of withholding allowances = 743.61 / 19 = 39.14 or 39 (round off).

Answer:

Step-by-step explanation:

I think it's -3

[tex]2x - 5 = \frac{1}{2} (3x - 13)[/tex]

[tex]4x - 10 = 3x - 13[/tex]

[tex]x = - 3[/tex]

Answer:

I don’t know this one sorry

Step-by-step explanation:

Answer:

because the square root of 10 is an irrational number, and only rational numbers are integers. integers are whole numbers and have no fractions or decimels... hope it helps

Answer:

a = 7

Step-by-step explanation:

a - 17 = -10

Add 17 to each side

a - 17+17 = -10+17

a = 7

Answer:

a = 7

Step-by-step explanation:

I hope this helps!

Answer:

Hey there!

10(5t+5)-10(10t+6)

50t+50-100t-60

-50t-10

Let me know if this helps :)

Answer:

≈ 7.2

Step-by-step explanation:

Use distance formula:

d = √(8-4)² + (8-2)²

Answer:

Remains on her gift card:

$3.07

Step-by-step explanation:

15 - ((2*2.65) + (2*1.79) + (1*3.05))

= 15 - (5.3 + 3.58 + 3.05)

= 15 - 11.93

= 3.07

Remains on her gift card:

$3.07

Answer:

f(x) down 5 units

and shifted to the left 9 units

Step-by-step explanation:

Transforming f(x) = |x| into g(x) = |x+9| - 5

involves:

1) shifting the graph horizontally 9 units to the left (with the subtraction of -9 from the variable "x", getting x+9 inside the absolute value symbols, and

2) shifting its graph 5 units down by subtracting 5 from the full expression

First box has 15 packets and every packet has 20 toys in it.

Second box has 20 packets and every packet has 15 toys in it.

For the first box, 15 x 20 = 300

For the second box, 20 x 15 = 300 again.

So these two box equal to each other.

Answer:

let people=x

and shoes=y

now,as per the question

2x-4=y

Answer:

5.385 Units

Step-by-step explanation:

5²+2²=c²

25+4=c²

29=c²

c=√29

c=5.385

Answer:8

Step-by-step explanation:

Answer:

24 bouquet

Step-by-step explanation:

300 divide by 12.50

Answer:

a. Assuming we are starting out with the same mass or number of both cells, definitely there would be more cells of sample 2 after three hours

b. If there are equal number of both cells initially, there would be 8 times more of cell 2 than cell 1

Step-by-step explanation:

a.The first part of the question asks if there would be more cells of sample 1 or 2 after three hours.

Now, the first assumption we shall be making is that we have equal numbers or let’s say mass of both cells initially.

Okay, let’s say we have x g of both cells initially.

Now sample 1 cell divides every 20 minutes.

How many times will have divided in 3 hours? The correct way to tackle this is by knowing the number of two minutes in 3 hours.

In an hour, we have 3 20 minutes. So in 3 hours, we will have 9 20 minutes

Let’s take a look at the sample 2 cell.

it divides every 30 minutes.

Now, in an hour, we have 2 30 minutes. In 3 hours, we will be having 6 30 minutes

Since cell 2 underwent 6 divisions while cell 1 underwent 9 divisions within the same 3 hours and they both have the same mass initially, then we will have more of cell 2 after three hours.

b. We want to know by how many more.

Now, for cell 1 since the division is 9 times, and it is definitely an exponential division, the mass or amount of the original left after 9 half divisions would be;

(1/2)^9 = 1/512

So 1/512 of x would be left and that would be x/512 left

For cell 2, we have the same approach. There are six divisions.

The amount left after the 6th division would be;

(1/2)^6 = 1/64

So the amount left after the sixth division would be x * 1/64 = x/64

Now, we want to know by which amount is the division of cell 2 greater.

That would be x/64 divided by x/512 = x/64 * 512/x = 8

Answer:

i think it is the control group sorry if i am wrong

Step-by-step explanation:

Answer:

[tex]2\sqrt{71}[/tex]

Step-by-step explanation:

[tex]a^{2} + b^{2}=c^{2}[/tex]

[tex]59+225=284[/tex]

[tex]\sqrt{284}= 2\sqrt{71}[/tex]

Answer:

c=[tex]2\sqrt{71}[/tex]

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2} \\15^{2} +(\sqrt{59} )^{2}=c^{2}\\225+59=c^{2}\\284=c^{2} \\2\sqrt{71} =c[/tex]