Which table shows a function that is decreasing only over the interval (–1, ∞)?

Adding integers with a common sign.

When adding two integers with a common sign, we just add the absolute value of the numbers and the resulting answer is marked with the same sign given in the question.

This question has two possible answers.

Possibility 1:

Both the integers are of positive sign. As a result, the resulting integer after addition is positive.

Example:

Let c = 45 and d = 53.

The sum of c and d is then

sum = c + d = 45 + 53 = 98

Possibility 2:

Both the integers are of negative sign. As a result, the resulting integer after addition is negative.

Example:

Assume c = -23 and d = -61.

The sum of c and d is then

sum = c + d = (-23) + (-61) = -(23 + 61) = -84

Hence, we have added integers with a common sign.

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Answer:

4​(​7) is​ 7 units from​ 4, in the​ forward direction.

Step-by-step explanation:

The measure of the angle 2 is 122°.

Given that angles 1 and 2 form a linear pair,

angle 1 + angle 2 = 180 degrees         —— (1)

We've also been notified that angle 2 is 6 times the size of angle 1.

That is to say: angle 2 = (2×angle 1) + 6      ———- (2)

Putting the angle 2 value in (1) from (2)

180 = angle 1 + 2×angle 1 + 6

3×angle 1 = 174

1st angle = 58 degrees  ———-(3)

(1) and (3) come from:

angle 2 + 58 = 180

2nd angle = 122 degrees

As a result, angle 2 has a measure of 122 degrees.

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Answer:

The diver is at a depth of [tex]-5\frac{1}{15}[/tex].

_____________________________________
What we have given:

Initial dive: [tex]1\frac{2}{3}[/tex] = [tex]x[/tex]
Additional dive: [tex]3\frac{2}{5}\\[/tex] = [tex]z[/tex]

Given the context, we can assume that sea level is 0ft.

So we have:
[tex]d=0-1\frac{2}{3}-3\frac{2}{5}[/tex] (d = depth)|

[tex]d=0-\frac{5}{3}-\frac{17}{5}[/tex] <- Convert mixed numbers to improper fractions.
[tex]d=-\frac{5}{3}-\frac{17}{5}[/tex] <- Simplify.
[tex]d=-\frac{25}{15}-\frac{51}{15}[/tex] <- The LCM between 3 and 5 is 15, so adjust the fractions accordingly.

(NOTE: Remember everything you do to the denominator must be replicated on the numerator as well!)

[tex]d=\frac{-25-51}{15}[/tex] <- Since the denominators are equal, combine the fractions.
[tex]d=\frac{-76}{15}[/tex]
[tex]d=-\frac{76}{15}[/tex] <- Apply the following fraction rule = [tex]\frac{-a}{b}=-\frac{a}{b}[/tex]
[tex]d=-5\frac{1}{15}[/tex] <- Convert the improper fraction to a mixed number and there is your final answer.

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Answer:

63%

Step-by-step explanation:

To write a decimal as a percentage, you simply multiply it by 100. 0.63 * 100 is 63, so your final answer would be 63%.

FINAL ANSWER: 63%

3396 Tickets would be sold in one year. If 283 tickets are sold each month you need to do 283 (tickets) x 12 (months) and that will get you 3396 Tickets per every 12 months.

Answer:

$6.08

Step-by-step explanation:

16 ounces = 1 pound

4 pounds 12 ounces = 4 12/16 pounds OR 4 ¾ pounds

4¾ ≈ 4.75

4.75 pounds x $1.28 = $6.08

Answer:

<E

Step-by-step explanation:

The points need to be in order.  P is the second to the last on the list and so is E.

The property represented by the expression is the property of zero.

We are given an expression:

(4 y + 1) × 0 = 0

We need to tell which property is this.

The property that is used is called the property of zero. In this, it states that whenever a number is multiplied by 0, the answer or the result will always be zero.

For example: 3 × 0 = 0, 4 × 0 = 0, M × 0 = 0 or P × 0 = 0.

It does not matter whether a constant or a variable is multiplied with it, the result of the multiplication will always be zero.

Therefore, the property represented by the expression is the property of zero.

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Answer:

5 x 4=20

Step-by-step explanation:

the x is a smaller number to tell you how many 5's there are which x=4 so the are 4 5's but you have to times(multiple) the two numbers.

5x4

=20

Answer:

0.375

Step-by-step explanation:

see above

Step-by-step explanation:

6×6×6 can be written as 6^3...

Answer:

6^3

Step-by-step explanation:

6 x 6 x 6 is equal to 6^3

The equation of parabola is [tex]y=1/4x^{2}+x/2-4\\\\[/tex].

A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape. A plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.

Given:

The equation of parabola in vertex form is

[tex]y=a(x-h)^{2} +k[/tex]

Being vertex here

h=-2

k=-5

According to given question we have

∴

Equation of parabola in vertex form is

[tex]y=a(x+2)^{2} -5[/tex]

. The parabola passes through point  (4,4)  So the point (4,4)  will satisfy the equation .

[tex]4=a(4+2)^{2} -5\\\\4=a*36-5\\\\9=a*36\\\\a=9/36\\\\a=1/4[/tex]

Hence the equation of parabola is

[tex]y=1/4(x+2)^{2} -5\\\\y=1/4(x^{2} +4+2x)-5\\\\y=1/4x^{2} +1+x/2-5\\\\y=1/4x^{2}+x/2-4\\\\[/tex]

Therefore, the equation of parabola is [tex]y=1/4x^{2}+x/2-4\\\\[/tex].

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the equation of parabola is missing

Answer: E: Infinitely many solutions

Step-by-step explanation:

Starting with 5x - 7x + 6, let's combine like terms.

5x - 7x is -2x.

Thus, we have -2x + 6 = -2(x-3)

Using the distributive property for the right side, we multiply -2 * x, and get -2x, and -2 * -3 and get +6.

Now we have -2x + 6 = -2x + 6. We have the same equation here, and know that there is infinitely many solutions here off the bat.

For sake of computations, let's solve and show our work.

Subtracting 6 from both sides, we have -2x = -2x.

Adding 2x to both sides, we get 0 = 0.

Thus, we have infinitely many solutions.

180g = 0.180 kg or there are 0.180 kilograms in 180 grams.

In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.

A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.

The sentence states an equality between a units of weight in grams (g) and kilograms (kg).

From there, we can say that we are asked how many kilograms are there in 180 grams.

Converting grams to kilograms, we must use the conversion

1 g = 0.001 kg

180g = 180 (0.001) kg

180g = 0.180 kg

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Answer:

∠ EBF = 16°

Step-by-step explanation:

note that EB is the angle bisector of ∠ ABF , then

∠ ABE = ∠ EBF = 2x and

∠ ABF = ∠ ABE + ∠ EBF , that is

7b - 24 = 2b + 2b

7b - 24 = 4b ( subtract 4b from both sides )

3b - 24 = 0 ( add 24 to both sides )

3b = 24 ( divide both sides by 3 )

b = 8

Then

∠ EBF = 2x = 2(8) = 16°

Answer:

7.6. Good luck

Answer: 1

Step-by-step explanation:

4^(-1) / 4^(-1)=

1/4 / 1/4=

1/4 * 4/1=      ==> Dividing by a number is basically multiplying its reciprocal

1*4/(4*1)=

4/4=1

Answer:

slope = - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (2, - 1)

m = [tex]\frac{-1-1}{2-(-2)}[/tex] = [tex]\frac{-2}{2+2}[/tex] = [tex]\frac{-2}{4}[/tex] = - [tex]\frac{1}{2}[/tex]

Answer:

13

Step-by-step explanation:

First, we'll have to find the radius.

[tex]\large\boxed{\bold{r= \frac{d}{2}}}[/tex]

[tex]r= \frac {6}{2}[/tex]

[tex]r= 3 \ cm[/tex]

Now, we can workout the volume.

Instead of π, we are asked to use 3.

[tex]\large\boxed{\bold{\red \pi \red = \ \red 3}}[/tex]

[tex]\large\boxed{\bold{V= \ \frac{4}{3} \pi {r}^{3}}}[/tex]

Now, substitute the values according to the formula.

[tex]V= \ \frac{4}{3} × 3 × {3}^{3}[/tex]

[tex]\large\boxed{\bold{V= \ 108 \ {cm}^{3}}}[/tex]

The answer is a whole number so you won't have to round off.

Therefore, the volume of the given sphere is 108 cubic centimeters.

According to the calculations made by Bob after downloading and calculating the correlation value as 0.5 from a given data set, he concludes that as the number of bedrooms in a particular home increase there is an increase in the selling price of the bed.

This increase in the selling price due to the increase in the number of bedrooms can be explained with the help of the Law of Demand which states that as the demand for a certain product increases its cost or the selling price also increases.

Thus, when Bob calculates the correlation factor, he finds that as the number of bedrooms increases there is also a hike in the selling price. As there should be a surplus to fulfill the demand for bedrooms.

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Answer: 4,500+50g=6,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]y=k/x^{2}[/tex]

when y=4, x=5. Therefore:

[tex]4=k/5^2[/tex]

[tex]k=100\\[/tex]

If  [tex]k=100, x=10 \\[/tex]

then [tex]y=100/10^2[/tex]

y=1

Answer:

The value of x when y = 9 is x = 2 or x = -2

Step-by-step explanation:

Given that value of y varies inversely as the square of x, and y=4, when x=3.

Therefore the initial statement is:

[tex]y x \frac{1}{x^{2} }[/tex]

Answer:

Step-by-step explanation:

The correct answer is “39916800”. Explanation: No. of mathematics books = 3 No. of Engineering books = 5 No. of history books = 3 Total number of books = 3 + 5 + 3 = 11 Hence, there are 11! ways in which all of these books can be arranged.

I think I may be wrong if someone wants to check this you can

Answer:

4x[tex] \sf {}^{3} [/tex] +80x²+10x+2

Step-by-step explanation:

(x+20)4x²+10x+2

Let's simplify step-by-step.

(x+20)(4)x²+10x+2

Distribute:

=4x[tex] \sf {}^{3} [/tex] +80x²+10x+2

The garden will stretch by 2/3 miles.

Given that Garden covers an area of 1/6 of a square mile and the garde is 1/4 mile wide.

As we know, the garden is a rectangle shape.

Here, we will use the formula of area of rectangle.

Area of rectangle is equal to the product of length and breadth.

Area =l×b

Here, the give area=1/6 miles² and b=1/4 mile.

Now, we will substitute the values in the formula, we get

1/6=l×(1/4)

Further, we will multiply both sides with 4, we get

4/6=4l/4

4/6=l

Now, we will simplify the left hand side, we get

2/3=l

Hence, the length of garden stretch when garden covers an area of 1/6 of a square mile and 1/4 mile wide is 2/3 mile.

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The solution of the system of linear equations behind the geometric system is (x, z) = (29, 13). The measures of the angles RIG and ZIM are 59° and 140°, respectively.

In this problem we find a geometric system generated by lines GZ, AM and IR, in which two variables are shown (x, z) and whose values can be found by applying the concepts of complementary and supplementary angles.

A group of angles are complementary if the sum of their measures equals 90°, and supplementary if that sum equals 180°. This system can be represented by the following system of linear equations:

(3 · x - 56) + 90 + (4 · z + 7) = 180       (1)

(4 · z + 7) + (x + 2) = 90                        (2)

By (1):

(3 · x - 56) + (4 · z + 7) = 90

3 · x + 4 · z - 49 = 90

3 · x + 4 · z = 139                                  (1b)

By (2):

x + 4 · z = 81                                         (2b)

The solution of the system of linear equations behind the geometric system is (x, z) = (29, 13).

Then, the measures of the angles RIG and ZIM are, respectively:

m ∠ RIG = 4 · z + 7

m ∠ RIG = 4 · 13 + 7

m ∠ RIG = 59°

m ∠ ZIM = 360° - (3 · x - 56) - 90° - (4 · z + 7) + (x + 2)

m ∠ ZIM = 360 - 3 · 29 - 56 - 90 - 4 · 13 + 7 + 29 + 2

m ∠ ZIM = 140°

The measures of the angles RIG and ZIM are 59° and 140°, respectively.

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