graph the solution to this inequality on the number line. w -0.8 > -2.4 first select the correct ray. then select the location of the endpoint to plot the inequality on the number line.

The possible row arrangements for the football cheerleaders are (4×4) or (8×2).

For the given expression.

The total of football cheerleaders = 16.

Each row consists of same number of cheerleaders.

For, this find the factors of 16;

16 = 2×2×2×2

The possible combinations for getting 16 is;

either (4×4) and (8×2).

This can be written as;

There are four rows such that each row contains 4 cheerleaders;

4×4 = 16

Or, they could be arranged as 2 rows with 8 cheerleaders or 8 rows with 2 cheerleaders in each, both are correct.

This can be written as two rows of 8; 8×2 = 16

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The degree of the sum of the polynomials is 6 while the degree of the difference of the polynomial is 7.

An equation is an expression that shows the relationship between two or more numbers and variables.

A polynomial's degree is the highest exponent of a variable in a polynomial equation.

Given the polynomial 3x⁵y - 2x³y⁴ - 7xy³ and -8x⁵y + 2x³y⁴ + xy³

The sum of the polynomials = (3x⁵y - 2x³y⁴ - 7xy³) + (-8x⁵y + 2x³y⁴ + xy³) = -5x⁵y - 6xy³

The difference of the polynomials = (3x⁵y - 2x³y⁴ - 7xy³) - (-8x⁵y + 2x³y⁴ + xy³) = 11x⁵y - 4x³y⁴ - 8xy³

The degree of the sum of the polynomials is 6 while the degree of the difference of the polynomial is 7.

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Answer:

7.59*10^1

Step-by-step explanation:

write the number as a decimal - 75.9

make it a new number thats somewhere between 1&10 by moving the decimal place - 7.59

define the power of 10 -10^1

put them all together! - 7.59*10^1

Answer:

The answer would be B. y= -0.5x+4.

Answer:40 carrots

Step-by-step explanation:

2x8=16 and there's 16 so there for  5x8=40

hope this helps :)

[tex]( \frac{6d}{d {}^{4} } ) {}^{ - 2} \\ [/tex]

Take the reciprocal of the inside to get rid of the negative exponent.

note: reciprocal=flip it over

[tex]( \frac{6d}{d {}^{4} } ) {}^{ - 2} = ( \frac{d {}^{4} }{6d} ) {}^{2} \\ [/tex]

Before we continue we can notice that the inside is reducible since we have d's in the numerator and the denominator.

note: d=d^1

[tex] \frac{a {}^{m} }{a {}^{n} } = a {}^{m - n} \\ [/tex]

[tex]( \frac{d {}^{4} }{6d} ) {}^{2} =( \frac{1}{6} \times \frac{d {}^{4} }{d}) = ( \frac{d {}^{4 - 1} }{6} ) {}^{2} = ( \frac{d {}^{3} }{6} ) {}^{2} \\ [/tex]

[tex]note \: that \\ ( \frac{ \omega}{ \eta} ) {}^{x} = \frac{ \omega {}^{x} }{ \eta {}^{x} } [/tex]

[tex]( \frac{d {}^{3} }{6} ) {}^{2} = \frac{(d {}^{3}) {}^{2} }{6 {}^{2} } = \frac{d {}^{3 \times 2} }{36} = \frac{d {}^{6} }{36} \\ [/tex]

The values of k such that both points are 2√26 units apart are 6 and 8, respectively.

Herein we know the coordinates of the ends of a line segment, the distance between the two points can be represented by Pythagorean theorem, whose formula is:

104 = (4 - k)² + [3 - (- 7)]²

104 = 16 - 8 · k + k² + 100

4 = 16 - 8 · k + k²

k² - 8 · k + 12 = 0

(k - 6) · (k - 8) = 0

The values of k such that both points are 2√26 units apart are 6 and 8, respectively.  

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Answer:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality"

Step-by-step explanation:

I learned it.

The measure of the angle ∠ABC will be equal to the measure of the angle ∠DEF which is ∠ABC = ∠DEF.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

The angles are given below.

∠ABC = ∠DEF          ...1

∠GHI = ∠DEF           ...2

From equations 1 and 2, then we have

∠ABC = ∠DEF

The measure of the angle ∠ABC will be equal to the measure of the angle ∠DEF which is ∠ABC = ∠DEF.

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Using function concepts, it is found that:

a) Point (3,-13) is not on the graph, because substituting x = 3 on the equation does not result in 13.

b) If x = 1, f(x) = -3, hence point (1,-3) is on the graph of f.

c) if f(x) = 2, x = 16, so point (16,2) is on the graph of f.

d) The domain is all real numbers except x = 4.

e) The x-intercept is of x = -8.

f) The y-intercept is of y = -2.

The function is given by:

f(x) = (x + 8)/(x - 4).

Hence, when x = 3:

f(3) = (3 + 8)/(3 - 4) = 11/-1 = -11.

Hence:

Point (3,-13) is not on the graph, because substituting x = 3 on the equation does not result in 13.

When x = 1, we have that:

f(1) = (1 + 8)/(1 - 4) = 9/-3 = -3.

If x = 1, f(x) = -3, hence point (1,-3) is on the graph of f.

For f(x) = 2, we have that:

2 = (x + 8)/(x - 4)

2x - 8 = x + 8

x = 16.

Hence:

if f(x) = 2, x = 16, so point (16,2) is on the graph of f.

The domain of a function is the set that contains all possible input values of the function.

This function is a fraction, meaning that the denominator cannot be zero, so:

x - 4 = 0 -> x = 4.

Hence:

The domain is all real numbers except x = 4.

For this problem, we have that:

f(x) = 0.

(x + 8)/(x - 4) = 0.

x + 8 = 0

x = -8.

f(0) = 8/-4 = -2.

Hence:

e) The x-intercept is of x = -8.

f) The y-intercept is of y = -2.

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The ratio that was used to create this table is 4:1.

What does a math ratio mean?

In the top row, they are all even numbers, and in the bottom row, they are all odd numbers

They all simplify to 4:1

Based on the table given, the ratio will be:

= 12/3

= 4/1

= 4:1

The values in each row related to each other as in the top row, they are all even numbers, and in the bottom row, they are all odd numbers.

The values in each column related to each other as they've a ratio of 4:1.

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Answer:

x + 2x = 1161

3x = 1161

x = 1161/3 = 387

2x = 2(387) = 774

cost of coffee table: $387

cost of couch: $774

Step-by-step explanation:

The equation 4(3h-4)=2(6h+8) have no solutions.

For the given equation;

4(3h - 4) = 2(6h + 8)

Simplify the equation as;

12h - 16 = 12h + 16

Bring the variable and constant on the different sides;

12h - 12h = 16 + 16

0 = 32

but, 0 ≠ 32.

As, given equation gives the false result, the equation are said to have no solutions.

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Answer:

3x+2y+2

Step-by-step explanation:

it's just combining like terms

The monthly cost C expressed in terms of minutes of call is: C=19.5+0.16x

The monthly cost if you make 367 minutes of call is $78.22

How the monthly cost modeled?

The monthly cost is modeled using the straight-line equation which comprises of the monthly access fee, which is the fixed charge and the variable charge per minute of $0.16

C=19.5+0.16x

x is the number of minutes of call time

monthly cost when x is 367 minutes

monthly cost=19.5+(0.16*367)

monthly cost=19.5+58.72

monthly cost=$78.22

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Answer:

9.87

Step-by-step explanation:

If Gayle only biked 2.82 miles and Lola biked 3.5 TIMES MORE MILES

then you multiply 2.82 by Lola's miles and you get 9.87

We can state that the given relations:

{(3, 2), (-1, 3), (5, 2)} is a function.

{(9, -1), (3, 6), (-2, 4), (3, 0)} is not a function.

A relation is a function if each of the x-values in the relation has exactly one corresponding y-value it is related to.

Given the relation with the ordered pairs, {(3, 2), (-1, 3), (5, 2)}, we can see that each x-value has exactly one y-value.

For the relation, {(9, -1), (3, 6), (-2, 4), (3, 0)}, we can observe that the x-value "3" has three corresponding y-values, "6, and 0", therefore, it is not function.

Therefore, we can state that the given relations:

{(3, 2), (-1, 3), (5, 2)} is a function.

{(9, -1), (3, 6), (-2, 4), (3, 0)} is not a function.

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Solving for B gives B = 2/ F + g³

Subject of formula can be defined as the variable that is expressed in terms of other variables in an equation or expression.

Given the equation;

F(B-g³)=2

To make 'B' the subject of formula, we have to take the following steps

Divide both sides by F, we have;

F(B-g³) / F = 2/ F

we then have;

B - g³ = 2/F

Now, make 'B' the subject of formula by making all the other terms over the equality sign

We have;

B = 2/ F + g³

Thus, solving for B gives B = 2/ F + g³

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Answer: The points are

(-1,2)

(0,1)

(1,2)

The graph is below

=========================================================

Explanation:

The idea is to replace x with the values mentioned (one at a time) and find the paired y value

For example, if x = -1, then...

y = x² + 1

y = (-1)² + 1

y = 1 + 1

y = 2

So (-1,2) is one point on the parabola. Follow similar steps to find the other points (0,1) and (1,2)

I used GeoGebra to make the graph shown below.

The statements which are true about perpendicular lines are;

Perpendicular lines in their simplest description are lines which meet or cross each other forming a right angle, 90°.

Also, It follows from line geometry that such lines have their slopes as opposite reciprocals.

Consequently, their slopes are such that; m1 × m2 = -1.

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Answer: a(a^6)^2a^7 = [tex]a^{20}[/tex]

Step-by-step explanation:

Given data,

                 = a(a^6)^2a^7

We can write,

                   = [tex]a * (a^{6}^)^{2} * a^{7}[/tex]

Simplify using exponent power rule,  [tex](a^{n} ) ^{m}[/tex] = [tex]a^{mn}[/tex]

So, we can write using formula,

                           = [tex]a * a^{6*2} * a^{7}[/tex]

                           =  [tex]a * a^{12} * a^{7}[/tex]

Multiply the monomials,

We can use the formula,     [tex]x^{a} * x^{b} * x^{c}[/tex] = [tex]x^{a+b+c}[/tex]

So, we can write,

                            = [tex]a^{1+12+7}[/tex]

                             = [tex]a^{20}[/tex]

Therefore,

                        a(a^6)^2a^7 = [tex]a^{20}[/tex]

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The reason is that the binomial formula is telling us the probability of a particular number of successes. Let’s take 5 turns at bat for a baseball player who gets hits 20% of the time. We want to find the probability that he will get exactly 2 hits. He could get hits on tries 1 & 2, 1&3, 1&4, 1&5, 2&3, 2&4, 2&5, 3&4, 3&5, 4&5. There’s no difference between getting hits on the 1st & 2nd, and getting hits on the 2nd and 1st. They’re the same thing. A permutation would treat those as different, when in reality the order doesn’t matter.

The reason the Binomial Distribution is able to use a combination as oppose to a permutation is because of the symmetry of these types of problems.

Suppose you have n objects of 2 categories. x of them are in the first category and y in the second. Therefore the number of ways you can arrange these n objects is:

Since this also describes the number of ways you can arrange failures and success in a binomial problem, let’s substitute this in place of the combination:

where x = number of repeats in successes and y = number of repeats in failures

Therefore expressing the Binomial Distribution as a combination simplifies the process slightly. However, it’s important to recognize that the combination used is actually a permutation in disguise; it must be a permutation because order matters in the context of Binomial Distributions. The combination doesn’t directly explain the number of ways to arrange the successes and failures, but can be equated to the permutation that does.

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Answer:

The fact points to the conclusion of the conditional.

Step-by-step explanation:

Law Of Detachment:

p -> q (if p is true, then q is true)

***You cannot go backwards. In other words, you cannot say that if q is true, then p is true, this is due to counterexamples.

Answer:

a) 3m + 4 = 6m is false.

Step-by-step explanation:

A) 3m + 4 = 6m

→ 3(6) + 4 = 6(5)

→ 18 + 4 = 30

→ [ 22 ≠ 30 ]

So, the equation is false.

B) -5(t - 7) = 10

→ -5(5 - 7) = 10

→ -5 × -2 = 10

→ [ 10 = 10 ]

So, the equation is true.

C) 17 = 4x - 3

→ 17 = 4(5) - 3

→ 17 = 20 - 3

→ [ 17 = 17 ]

So, the equation is true.

D) t + 9 = 14

→ 5 + 9 = 14

→ [ 14 = 14 ]

So, the equation is true.

One example can be:

"Amount of sugar that you put in your coffee and the calories of that coffee."

Where:

Any two quantities that are related in any way are related variables.

Some examples are:

etc...

The independent variable is the one that we can control, and the dependent variable is the one that changes in response to the independent one.

In the last example, the independent variable is the amount of sugar that you put in your coffee because you decide how many spoons you want.

And the dependent variable is the amount of calories in that coffee, that will depend on how much sugar you put there.

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