The result of 6 subtracted from a number n is at least 2. What numbers are solutions?
A. n – 2 > 6; n > 8
B. n – 6 ≥ 2; n ≥ 8
C. n + 6 ≥ 2; n ≤ 4
D. n + 6 ≥ 2; n ≥ 4

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

Answer:

Yes

Step-by-step explanation:

Substituting in x = -7, we get y = 6(-7) = -42, which is the same as the y coordinate of the given point.

Answer:

221.801

Step-by-step explanation:

1 tablespoon is equal to 14.79 ml

Since you want 15, you can do 15 x 14.79

You'll get 221.801

Answer:

1 1/6

Step-by-step explanation:

(1/2×3/3)+(2/3×2/2)=

3/6+4/6=

3+4/6=7/6 or 1 1/6

3+4 is the numerator over 6

Answer:

Step-by-step explanation:

I and II

Pages in a book and leaves on a tree can be counted precisely. They are discrete.

The height of a person cannot be measured exactly. We can get very good

approximations (to a lot of decimal places) but never exact. This is continuous.

Answer:

x = 11

y = 8

z = 42

Step-by-step explanation:

From the given figure

∵ l\(_{1}\) and l\(_{2}\) intersected at a point

∴ ∠1 and ∠4 are vertically opposite angles

→ Vertically opposite angles are equal in measures

∴ m∠1 = m∠4

∵ m∠1 = 4(3y - 12)°

∵ m∠4 = (8y - 16)°

→ Equate their measures

∵ 4(3y - 12) = 8y - 16

∴ 4(3y) - 4(12) = 8y - 16

∴ 12y - 48 = 8y - 16

→ Subtract 8y from both sides

∵ 12y - 8y - 48 = 8y - 8y - 16

∴ 4y - 48 = -16

→ Add 48 to both sides

∴ 4y - 48 + 48 = -16 + 48

∴ 4y = 32

→ Divide both sides by 4

∴ y = 8

∵ ∠4 and ∠5 formed a pair of linear angles

→ The sum of the measures of the linear angles is 180°

∴ m∠4 + m∠5 = 180°

∵ m∠5 = (12x)°

∵ m∠4 = 8(8) - 16 = 64 - 16 = 48°

→ Add them and equate the sum by 180

∵ 48 + 12x = 180

→ Subtract 48 from both sides

∴ 48 - 48 + 12x = 180 - 48

∴ 12x = 132

→ Divide both sides by 12

∴ x = 11

∵ ∠4, ∠3, and ∠2 formed a line

∴ ∠4, ∠3, and ∠2 are linear angles

→ The sum of the measure of the linear angles is 180°

∴ m∠4 + m∠3 + m∠2 = 180°

∵ m∠4 = 48°

∵ m∠3 = 3(11) + 9 = 33 + 9 = 42°

∵ m∠2 = (2z + 6)

→ Add them and equate the sum by 180

∵ 48 + 42 + 2z + 6 = 180

→ Add the like terms in the left side

∴ 96 + 2z = 180

→ Subtract 96 from both sides

∵ 96 - 96 + 2z = 180 - 96

∴ 2z = 84

→ Divide both sides by 2

∴ z = 42

The probability that the spinner on the left will land on a 6 and the spinner on the right will land on a shaded area will be 1/9. The correct option is A.

Probability is a branch of mathematics that deals with the measurement and analysis of uncertainty. In other words, probability is the measure of the likelihood or chance that a particular event will occur.

The probability that the spinner on the left will land on a 6 is calculated as,

P₁ = 2 / 12

The spinner on the right will land in a shaded area is,

P₂ = 8 / 12

The total probability will be,

P =  ( 2 / 12 ) x ( 8 / 12 )

P = 1 / 9

Therefore, the probability that the spinner on the left will land on a 6 and the spinner on the right will land on a shaded area will be 1/9. The correct option is A.

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The area of the dish, a, can be represented by the product of its length and width. Thus, we can write:

a = (279/10) cm x (178/10) cm

Simplifying this expression, we get:

a = 4953/100 cm^2

So, the correct equations are:

B) 178/10 x 279/10 = a

and

D) a ÷ 178/10 = 279/10

Answer:

11.7

Step-by-step explanation:

you're overthinking it, it can't keep adding and adding to make the tenths place a different number it can only be added by one and that one is the number right before it, so going in a line you eventually will get 11.6619. the 9 makes the 1 a 2 and that doesn't change the 6. So the 6 makes the .6 a .7

The height is 114.83 ft and the distance of the ø if someone is observing below is 84.8.

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that at a given point of 67.7ft at the ground level of a covered court, the angle of elevation of a roof worker from the bottom is 38.6⁰ and the angle of elevation of the roof from the top is 42.4 degrees.

The base will be calculated as:-

tan(38.6) = P / B

tan(38.6) = 67.7 / B

B = 67.7 / tan(38.6)

B = 54.8 ft

The height will be calculated as:-

Cos(42.4) = B / H

H = 84.8 / Cos(42.4)

H = 114.83 ft

Therefore, If someone were to look down from above, they would be 114.83 feet from the object and 84.8 feet away.

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The correct answer is:

a = 43%

b = 88%

To determine the values of a and b in the relative frequency table, we need to analyze the information provided in the Venn diagram and the given table.

From the Venn diagram, we can gather the following information:

The circle labeled "satellite" has a value of 55.

The circle labeled "cable" has a value of 75.

The overlap between the two circles is labeled as 12.

Using this information, we can complete the table:

First column - "Satellite":

Entries: Satellite, Not satellite, Total

Total: 55 (as given in the Venn diagram)

Second column - "Cable":

Entries: Blank, 51%, Blank

To find the value for the "Cable" entry, we need to subtract the overlap (12) from the total number of cable users (75).

Cable: 75 - 12 = 63

Therefore, the entry becomes: Blank, 51%, Blank

Third column - "Not Cable":

Entries: a, b, Blank

To find the value for "a," we subtract the overlap (12) from the total number of satellite users (55).

a: 55 - 12 = 43

To find the value for "b," we subtract the overlap (12) from the total number of households (100).

b: 100 - 12 = 88

Therefore, the entries become: 43, 88, Blank

Fourth column - "Total":

Entries: Blank, Blank, 100%

The total number of households is given as 100% (as stated in the question).

Therefore, the values of a and b in the relative frequency table are:

a = 43% (rounded to the nearest percent)

b = 88% (rounded to the nearest percent)

Hence, the correct answer is:

a = 43%

b = 88%

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Answer:

1. consistent independent
2. consistent dependent
3. inconsistent

Step-by-step explanation:

1. when we take the ratios of the two equations,
\(a_{1} : a_{2} \neq b_{1} :b_{2}\)

2. when we take the ratios of the two equations,
\(a_{1} : a_{2} = b_{1} :b_{2} = c_{1} : c_{2}\)

1. when we take the ratios of the two equations,
\(a_{1} : a_{2} = b_{1} :b_{2} \neq c{1} : c_{2}\)

Step-by-step explanation:

4x + y = 8

x + 3y = 8

consistent independent

both equations are lines with different slope.

so, they intersect at one point.

that is the solution.

-4x + 6y = -2

2x - 3y = 1

consistent dependent

both equations are actually identical lines.

multiply the second equation by -2.

and you see the equality.

that means every point is a solution.

there are infinitely many solutions.

5x - 2y = 4

5x - 2y = 6

inconsistent

both equations are lines with identical slopes.

but with different y-intercepts.

they are parallel and never intersect.

there is no solution.

there is no (x, y) that their sum has 2

different results.

The width of Polina's strategy =8¾

while the width of Jamie's strategy= 8 3/

The strategy that was used to calculate the width of the Hamza's bumper sticker would be to multiply the given height and widths with the values in ink.

For Polina;

Since 2×1¾ = 2× 7/4 =3½

5 × 1¾ = 5×7/4 = 35/4= 8¾

For Jamie;

since 2×2½= 2×5/2 = 5

= 3½ × 2½

= 7/2 × 5/2

= 35/4

= 8¾

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Answer:

If he left the car in the lot for 2 hours, he would have to pay 14 dollars. if he left it for "t" hours, he would have to pay 11 + 3t dollars

Step-by-step explanation:

Think of it like this: "a" represents the total amount of money Easton will spend, t represents time in hours. $11 + $3*t = a

The sοlutiοn οf the system οf equatiοn is x = 0 and y = 7/3.

If there is nο sοlutiοn tο a system οf equatiοns, it is incοnsistent system; οtherwise, there must be at least οne sοlutiοn. If a set οf equatiοns has infinitely many sοlutiοns, it is dependent.

Every οne οf the equatiοns in a system οf equatiοns must have a sοlutiοn in οrder fοr the system tο be cοnsistent. This demοnstrates that a set οf values fοr the variables may simultaneοusly satisfy all οf the system's equatiοns and shοw that they are nοt mutually exclusive.

There is nο sοlutiοn tο an equatiοn system that satisfies all οf the equatiοns in the system. This indicates that nο cοmbinatiοn οf values fοr the variables can cοncurrently satisfy all οf the system's equatiοns since they are incοmpatible.

The given equatiοns are:

y = 2/3x + 7/3

-4x+6y=14

Substituting the value of y in the second equation:

-4x + 6y = 14

-4x + 6(2/3x + 7/3) = 14

-2x + 4x + 14 = 14

2x = 0

x = 0

Substitute the value of x = 0 we have:

y = 2/3(0) + 7/3

y = 7/3

Hence, the solution of the system of equation is x = 0 and y = 7/3.

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Complete question:

Given system of equations y = 2/3x + 7/3 and -4x + 6y = 14

Find the value of x and y.

writing the equation in the form y = mx +b

slope is -8/3 and If you multiply the slopes of two perpendicular lines, we get -1, therefore

value the slope of a line perpendicular to line FG is 3/8

Answer: Package B is least expensive; Will save $5

Step-by-step explanation:

Package A

$200 for 5 lesson=$40/lesson

Package B

$350 for 10 lesson=$35/lesson

35<40

Package B is least expensive

-------------------------------------------------------

 40 (Package A)- 35 (Package B)

=$5

Answer:

Packages A and C.

Step-by-step explanation:

The rigid motion of the solid line figure is translated to the dotted line figure.

Translation describe a function that moves an object a certain distance.

In a translation, every point of the object must be moved in the same direction and for the same distance.

In translation, the object is not resized, rotated or reflected. The object usually remains the same but it moves a certain distance.

Therefore, the rigid motion maps the solid-line figure onto the dotted-line figure by translation

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Answer:

a.

\( {15x}^{3} - 26 {x}^{2} + 26x - 24\)

b. No

Step-by-step explanation:

a.

\((3x - 4)(5 {x}^{2} - 2x + 6)\)

\( = 15 {x}^{3} - 6 {x}^{2} + 18x - 20 {x}^{2} + 8x - 24\)

\( = 15 {x}^{3} - 26 {x}^{2} + 8x - 24\)

b. No, because 4 - 3x = -(3x -4).

The solution of sum of expression is,

⇒ (x² - x + 1) / (x - 1)(x - 2)

We have to given that;

Expression is,

⇒ [x /(x² - x - 2)]  + [ (x - 1) / (x - 2) ]

We can simplify as;

⇒ [x / (x² - x - 2)]  + [(x - 1) / (x - 2)]

⇒ [x / (x² - 2x + x - 2)] + [(x - 1) / (x - 2)]

⇒ [x / [ x (x - 2) + 1(x - 2)] + [(x - 1) / (x - 2)]

⇒ [x / (x - 1) (x - 2)] + [(x - 1) / (x - 2)]

⇒ [1/(x - 2)] [ x/(x - 1) + (x - 1) ]

⇒ [1 / (x - 2)]  × [ x + (x - 1)²] / (x - 1)

⇒ [x + (x - 1)² ] / [(x - 1) (x - 2)]

⇒ (x + x² - 2x + 1) / (x - 1) (x - 2)

⇒ (x² - x + 1) / (x - 1) (x - 2)

Hence, The solution of sum of expression is,

⇒ (x² - x + 1) / (x - 1) (x - 2)

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Answer:

-3.8

Step-by-step explanation:

to find the average [mean] of a data set, you add all the numbers [-19] and then divide by the amount of numbers [5]

Answer:

-3.8

Step-by-step explanation:You add all of the number together and divde the sum by however man numbers. (-4)+(-7)+(-2)+(-4)+(-2)=-19.-19 divided by 5 equals -3.8

Answer:

Average time per day = 1.2 hours per day
Average time per day = 72 minutes per day

Step-by-step explanation:

To find Clarence's average time per day, we need to divide the total time he takes to walk the 15.5 miles by the number of days he walks, which is five.

Let's calculate his average time per day:

Average time per day = Total time / Number of days

Since Clarence takes a total of 6 hours to walk the 15.5 miles, we'll divide 6 by 5 to find his average time per day:

Average time per day = 6 hours / 5

Average time per day = 1.2 hours per day

To convert hours to minutes, we'll multiply the average time per day by 60:

Average time per day = 1.2 hours * 60 minutes

Average time per day = 72 minutes per day

Therefore, Clarence's average time per day is 72 minutes.

Total water bill for the month is $62.37.

It seems that you may have accidentally left out the total amount of your water bill.

The total amount by simply adding the amounts of the individual bills together:

Total water bill =\($36.34 + $26.03\)

= \($62.37\)

You have not provided enough information to determine your total water bill.

You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.

To find your total water bill, you simply need to add the two bills together.

So, the total amount you owe for water this month would be:

Total water bill = \($36.34 + $26.03\)

= \($62.37\)

It appears that you may have forgotten to include the full amount of your water bill by accident.

Simple addition of the separate bill amounts yields the following sum:

Water bill total = \($36.34 + $26.03\)

= \($62.37\)

Your total water bill cannot be calculated because not enough information has been given.

Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.

You just need to combine the two invoices together to get your total water bill.

As a result, this month's total water bill for you would be:

Water bill total =  \($36.34 + $26.03\)

= \($62.37\)

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Answer:

m<wzx = 71

Step-by-step explanation:

Assuming these are interior angles of a triangle.

The sum of all three interior angles of a triangle is always 180 degrees, therefore:

m<xyz + m<wxz + m<wzx = 180

Substitute our values:

58 + 51 + m<wzx = 180

m<wzx = 180 - 58 - 51

m<wzx = 71

Answer:

SURE

Step-by-step explanation:

Given the cyclic quadilateral below,

In a cyclic quadilateral, the sum of angles is 360°

The sum of the opposite angles of a cyclic quadilateral is 180° i.e,

Hence, the equation to find the measure of angle O i.e x° is,

Answer:

40%

Step-by-step explanation:

.d.fnfjcnfjz s.d fndjehsh

The end behaviour of the function is When x ---> ∞ , f(x) ---> -∞  , when x ---> -∞ f(x) ----> ∞  , Option D is the correct answer.

A function is a mathematical statement that related the independent and the dependent variable.

The function given is

f(x) = \(\rm -2 \sqrt[3]{x}\)

To understand the end behaviour the graph is plotted

When x ---> ∞ , f(x) ---> -∞

when x ---> -∞ f(x) ----> ∞

Therefore Option D is the correct answer.

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The distance between point C  (-3, 3) and point D (0, -4) is equal to: √58 units.

In Mathematics and Geometry, the distance between two (2) end points that are on a coordinate plane can be calculated by using the following mathematical equation:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represent the data points (coordinates) on a cartesian coordinate.

By substituting the given end points into the distance formula, we have the following;

Distance = √[(0 + 3)² + (-4 - 3)²]

Distance = √[(3)² + (-7)²]

Distance = √[9 + 49]

Distance = √58 units.

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