Solve: x^2-x-6=0
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Answer: No. Kendall did not correctly determine the new balance. The new balance is -$1840.

Step-by-step explanation:

From the question, we are informed that Kendall's business spent more money than it collected, and therefore the business's balance sheet showed a balance of -$1,280 at the end of the month. We are informed that the next day, Kendall's business spent $560 on new tools.

Therefore, since Kendall made a purchase, this is an expense and we have to subtract it from the previous balance. This will be:

= -$1280 - $560

= - $1840

The new balance is -$1840

Answer:

She is not correct. The correct answer should be -$1840

Step-by-step explanation:

Explanation: Kendal is ultimately wrong, because in his step in adding the $560 spent on new tools, she had added a positive number, which meant they deposited money to go out of debt. Instead he was supposed to subtract the $560, or even add -$560 to the businesses balance. If calculated correctly, by subtracting $560 to the current balance, it would get us to -$1840.

Answer:

The slope of a line in the plane containing the x and y axes is generally represented by the letter m, and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.

Step-by-step explanation:

Answer:

Choice A

Step-by-step explanation:

Answer:

375 paying customers

Step-by-step explanation:

First you need to find how much the fee was increased from $5.00 to $7.50

7.5 - 5 = 2.5

Then how many times the pay increase goes into that number to find your X value

2.5/.5 = 5

Now that we have found our x value lets plug it into the equation to find the money the park will make in increments of 1

500 - 25(1) = 475

500 - 25(2) = 450

500 - 25(3) = 425

500 - 25(4) = 400

500 - 25 (5) = 375

Answer:

375

Step-by-step explanation:

Answer: 132 hamburgers and 30 sodas

Step-by-step explanation:

x= Number of hamburgers

y= Number of sodas

1 x + 1 y = 102

1 x -1 y = 30

Eliminate y

Add the two equations

2 x = 132

/ 2

x = 66

plug value of x in (1)

1 x + 1 y = 102

132 + y = 102

y = 102 -132

y = 30

y = 30

x= 132 Number of hamburgers

y= 30 Number of sodas

Answer:

Hotdogs=36

Sodas=66

Step-by-step explanation:

X-Hotdogs

Y-Sodas

Y-30=X

Y+X=102

New equation: 102-X-30=X

Add X to both sides

102-30=2x

x=36

y=66

Answer:

1

Step-by-step explanation:

slope m=y2-y1/X2-x1

=6-2/9-5

=4/4= 1

Answer:

x is 2 and 6 is y

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

440 - 400 = 240. i cant really explain-

Answer:

y=3x+2

Step-by-step explanation:

Answer:

f(3) = 4

Step-by-step explanation:

Give x = 3 in the interval x ≥ 1 then f(x) = x + 1 , and

f(3) = 3 + 1 = 4

Answer:

4x+32= 4(x+8)

Step-by-step explanation

4x+32

The GCF of 4x and 32 is 4, so the first step is to divide each term by 4. The quotients are x and 8. The factored expression will be 4(x + 8).

Answer: 50+80=130

I wasn’t really sure of what you were really asking, apologies.

Answer:

130 is your answer!

Step-by-step explanation:

50 + 80 can be put as 5 + 8 = 13 and then add a 0. You will get 130!

Answer:

[tex]\{0,1,2\}[/tex]

Step-by-step explanation:

Given:

[tex]\{(1, 3), (0, 4), (2, 1)\}[/tex]

Required

Determine the domain

A relation is represented as: [tex]\{(x_1, y_1), (x_2, y_2), (x_3, y_3).....(x_n,y_n)\}[/tex]

Where:

[tex]\{x_1,x_2,x_3.....x_n\}[/tex] are the domain of the relation

So, by comparison:

[tex]\{1,0,2\}[/tex] or [tex]\{0,1,2\}[/tex] represents the domain

Note: you did not add the answer options, so I am solving this question generally to solve your query, which anyways would clear your concept.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

[tex]y= 4x + 9[/tex]

All we need is to find any random value of 'x' and then solve for 'y'.

For example, putting x=2

[tex]y= 4x + 9[/tex]

[tex]y=4(2)+9[/tex]

[tex]y=8+9[/tex]

[tex]y=17[/tex]

Thus, (2, 17) is one of the many ordered pairs solutions of the equation.

Similarly, putting x=3

[tex]y= 4x + 9[/tex]

[tex]y=4(3)+9[/tex]

[tex]y=12+9[/tex]

[tex]y=21[/tex]

Thus, (3, 21) is one of the many ordered pairs solutions of the equation.

Answer:

45h that the answer I think

Answer:

C and h are both variables so the answer is ∞.

Answer:

Well, 6.94 - 4.99 = 1.95 also that divided by 0.65 = 3 So it is 3  pounds of bananas

Step-by-step explanation:

P.S can I have brainliest?

Answer:

D) 3.0

Hope this helped

Answer:

x = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Equation

2(x + 2x) = 36

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 36 does indeed equal 36.

∴ x = 6 is the solution to the equation.

Answer :

2(x+2x)=36

2x + 4x =36

6x =36 is the answer

Hope it helped

Answer:

Total gas used = 3/2 of a tank of gas

Step-by-step explanation:

Visit to friend = 6/8 of a tank of gas

Commute to work = 1/2 of a tank of gas

Weekend trip = 1/4 of a tank of gas

Total gas used = Visit to friend + Commute to work + Weekend trip

= 6/8 + 1/2 + 1/4

= 6+4+2/8

= 12/8

= 3/2

Total gas used = 3/2 of a tank of gas

Answer:

y = 4/1 - 2

Step-by-step explanation:

That is your words in slope intercept form

Answer:

D.) 2:40

Step-by-step explanation:

36/9 = 4constant rate

From 10 am to 1 pm is 4 hours so 4*4 = 16 gal

16+9 = 25 gal

25 + 4+4= 33 gal

we only need 3 more gallons so it would be 2:40.

HOPE THIS HELPED :)

Answer:

Step-by-step explanation:

4%

Answer:

10....... and friends with diabetes

Step-by-step explanation:

Answer:

Last week, she earned a total of $702 last week in commission.

Step-by-step explanation:

To solve this, we first need to find 13% of $5,400.

5,400 x 0.13 = 702

Therefore, Nadia earned a total of $702 last week in commission.

Now, we need to calculate how much money she'll earn in a whole year. So, let's see how many weeks are in a year.

1 year = 52 weeks when rounded to the nearest whole number

702 x 52 = $36,504

Therefore, Nadia earned a total of $36,504 in commission in 2011.

Hope this helps! :D

Answer: Y = (0,4)

X = 20/3

Step-by-step explanation:

Answer:

the points are at 0,4 and 6.6670 or 6,0

Step-by-step explanation:

Brainlist?

The volume of the solid formed by rotating the region about the y-axis is 6π/7 cubic units.

To find the volume of the solid formed by rotating the region bounded by the curves y = x³/4, x = 0, y = 1 in the first quadrant about the y-axis, we can use the method of cylindrical shells.

The formula for the volume using cylindrical shells is:

[tex]\mathrm V = \int\limits^a_b {2\pi \mathrm x \times \mathrm f(x)} \, dx[/tex]

Where:

a and b are the limits of integration (in this case, a = 0 and b = 1 since we are rotating in the first quadrant).

f(x) is the height of the shell at the given x-value.

2πx is the circumference of the shell at the given x-value.

In this case, we need to express y = x³/4 in terms of x to find the function f(x).

Given: y = x³/4

To find the function in terms of x, solve for x:

[tex]x = (4y)^{(1/3)[/tex]

Now, the function f(x) becomes:

[tex]\mathrm f(x) = (4x)^{(1/3)[/tex]

Now, let's calculate the volume using the cylindrical shell method:

[tex]\mathrm V = \int\limits^1_0 {2\pi \mathrm x \times \mathrm 4x^{1/3}} \, dx[/tex]

[tex]\mathrm V = 2\pi \int\limits^1_0 { x^{4/3}} \, dx[/tex]

To integrate, add 1 to the exponent and divide by the new exponent:

[tex]\mathrm V = 2\pi \times (3/7) \times x^{(7/3)} |^0_1[/tex]

Now, evaluate the expression at the limits of integration:

[tex]\mathrm V = 2\pi \times (3/7) \times (1)^{(7/3)} - 2\pi \times (3/7) \times (0)^{(7/3)[/tex]

[tex]\mathrm V = 2\pi \times (3/7) - 0[/tex]

[tex]\mathrm V = 6\pi/7[/tex]

So, the volume of the solid formed by rotating the region about the y-axis is 6π/7 cubic units.

Learn more about Revolving solid click;

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Answer:

1. m=1/2

2. x=4/7

3. t=4

4. y=5

Step-by-step explanation:

1. 5m+4=7m+6

5m-7m=6-5

2m=1

m=1/2

2. -5x+3=2x-1

-5x-2x=-1-3

-7x=-4

x= -4/-7= 4/7

3. 5t-3=3t+5

5t-3t=5+3

2t=8

t=8/2= 4

4. 53y-55= 42y

53y-42y=55

11y=55

y=55/11=5

hope it helps!

Answer:

1. 5m+4=7m+6

Step 1: Subtract 7m from both sides.

5m+4−7m=7m+6−7m

−2m+4=6

Step 2: Subtract 4 from both sides.

−2m+4−4=6−4

−2m=2

Step 3: Divide both sides by -2.

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

m=−1

_______________________________

2.  −5x+3=2x−1

Subtract 2x from both sides.

−5x+3−2x=−1

Combine −5x and −2x to get −7x.

−7x+3=−1

Subtract 3 from both sides.

−7x=−1−3

Subtract 3 from −1 to get −4.

−7x=−4

Divide both sides by −7.

x= [tex]\frac{-4}{-7}[/tex]

[tex]Faction \frac{-4}{-7}[/tex] can be simplified to [tex]\frac{4}{7}[/tex] by removing the negative sign from both the numerator and the denominator.

x= [tex]\frac{4}{7}[/tex]

_____________________________

3. 5t−3=3t+5

Subtract 3t from both sides.

5t−3−3t=5

Combine 5t and −3t to get 2t.

2t−3=5

Add 3 to both sides.

2t=5+3

Add 5 and 3 to get 8.

2t=8

Divide both sides by 2.

t= [tex]\frac{8}{2}[/tex]

Divide 8 by 2 to get 4.

t= 4

___________________________

4. 3y−55=42y

Subtract 42y from both sides.

53y−55−42y=0

Combine 53y and −42y to get 11y.

11y−55=0

Add 55 to both sides. Anything plus zero gives itself.

11y=55

Divide both sides by 11

y= [tex]\frac{55}{11}[/tex]

Divide 55 by 11 to get 5.

y=5

The properties of items in a question can be used to simplify the solution to the questions

The area of triangle ΔABD is 20 - 4·√3

The reason the above value for the area of ΔABD is correct is as follows:

The given parameters are;

AB = AD, BC = CD, BE = 2, BC = 4, AC = 10

Given that AB = AD, and BC = CD, we have that the figure ABCD is a kite

∴ AC is perpendicular to BD by properties of the diagonals of a kite

ΔBCE is a right triangle

By Pythagoras' theorem, [tex]\overline{CE}[/tex]² = [tex]\overline{BC}[/tex]² - [tex]\overline{BE}[/tex]²

Which gives;

[tex]\overline{CE}[/tex]² = 4² - 2² = 12

[tex]\overline{CE}[/tex] = 2·√3

Given that AC is the perpendicular bisector of BD, by the properties of a kite, we have;

BD = BE + DE, where BE = DE definition of bisected line

∴ BD = BE + BE = 2·BE

Area of a triangle = (1/2) × Base length × Height

AE = The altitude (height) of the ΔABD = AC - CE

∴ AE = 10 - 2·√3

BD = The base length of ΔABD = 2·BE (Length of BE = 2)

∴ BD = 2 × 2 = 4

The area of triangle ΔABD = (1/2) × BD × AE

∴ The area of triangle ΔABD = (1/2) × 4 × (10 - 2·√3) = 20 - 4·√3

The area of triangle ΔABD = 20 - 4·√3

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