Which type of compound inequality is 3|y+7|-16>5

-union
-hole
-disjunction
-intersection

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:

Step-by-step explanation:

The solution to the inequality  is

Inequality

Inequalities are used to represent expressions of unequal values

The inequality is given as:

Add 0.9 to both sides of the inequality

Simplify the inequality

The above inequality means that:

The arrow on the number line points to the right

The arrow begins at point -1.2 with an open circle or dotted lines

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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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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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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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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Since at 8am Chris goes out on his moped averaging 15mph, the time Chris catches up with Fadi is at 10 am.

Since Fadi set out at 5am on his bike averaging at 6mph, the distance Fadi travels is d = vt where

So, Fadi's distance d = vt

= 6t

Now, At 8am Chris goes out on his moped averaging 15mph, the distance Chris travels is D = v't' where

So, Chris' distance D = v't'

= 15t'

Also, since Fadl sets out at 5 am on his bike and Chris goes out on his moped at 8 am, Chris sets out 8 am - 5 am = 3 hrs later.

So, Chris' time of travel t' = t - 3

So, Chris' distance D = 15t' = 15(t - 3)

Now, Chris will catch up with Fadi when they both cover the same distance

So, d = D

6t = 15(t - 3)

6t = 15t - 45

6t - 15t = -45

-9t = -45

t = -45/-9

t = 5 hours

Since Chris's time is t' = t - 3, substituting t = 5 into the equation, we have

t' = 5 - 3

= 2 hours

So, Chris catches up with Fadi 2 hours later at 8 am + 2 hours = 10 am.

So, the time Chris catches up with Fadi is at 10 am.

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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.

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

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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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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[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 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:

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.

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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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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x = p / (m + n) is factor of algebraic expression .

What does a math factor mean?

mx + nx = p

You can factor x out of the mx + nx.

x(m + n) = p

Now, simply divide by the m + n.

x = p / (m + n)

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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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The solution to the given expression when evaluated would be expressed as: 3a + 4b³ - 5 = 3(6) + 4(2³) - 5 = 45.

To evaluate the expression, 3a + 4b³ - 5, when a = 6 and b = 2, substitute the values of a and b into the expression and solve.

Thus, we would have:

3a + 4b³ - 5 = 3(6) + 4(2³) - 5

Solve the exponent

3a + 4b³ - 5 = 3(6) + 4(8) - 5

3a + 4b³ - 5 = 18 + 32 - 5

Add

3a + 4b³ - 5 = 45

Therefore, the solution to the given expression when evaluated would be expressed as: 3a + 4b³ - 5 = 3(6) + 4(2³) - 5 = 45.

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Answer:

3x+2y+2

Step-by-step explanation:

it's just combining like terms

The EFFICIENT points of production in the given graph is represented by Point C and Point B , the correct option is option (d).

The given graph is for skateboards vs Bikes .

We need to find the point representing the Efficient Point of Production.

The Production Possibility Curve points are said to be Efficient when the resources are utilized to the fullest , that means the points on the curve represents the point of Efficiency.

In the given Production Possibility Curve between Skateboards and Bikers the point C and Point B are the Efficient point of production .

Therefore , the Efficient points of production in the given curve are represented by Point C and Point B , the correct option is option (d)

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Answer:

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

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:40 carrots

Step-by-step explanation:

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

hope this helps :)

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

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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