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Learning Task 1: Name a positive or
situation. Write your answer in your noteb
1. Saving 25php
2. 6 feet below the ground
3. what is the opposite of -6
4. When a player to a basketball team
against their opponent.
5. what is the sum of -8 + 8?
.​

Using the given linear equation, we conclude that you can invite a maximum number of 21 guests.

Here the function is:

C(p) = 325 + 15*p

Where p is the number of guests minus 10, now we know that your budget is $600, then the maximum value of guests allowed is such that:

C(p) = 600 = 325 + 15*p

Now we can solve this equation for p:

600 - 325 = 15*p

275 = 15*p

175/15 = p = 11.67

Then the maximum whole number that p can take is p = 11

This means that the maximum number of guest that you can have is:

Guests = 10 + p = 10 + 11 = 21.

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Answer:

1.5 is the slope and 2 is the intercept

Step-by-step explanation:

I am assuming that the equation is y = 1.5x + 2.

The equation of the axis of the curve is determined by (c) c

The equation is given as:

y= a sin[k(x - d)] + c

In the above equation, the midline is

y = c

This represents the equation of the curve axis

Hence, the equation of the axis of the curve is determined by (c) c

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Answer:

Vertex: (0,0)

Left 2 points: (-1,1) , (-2,4)

Right 2 points: (1,1) , (2,4)

Step-by-step explanation:

Answer: a = -10

Concept:

When an equation has no solution, in most cases, it means that the variables are being canceled out, and left with unequal constants.

For example:

                                             2x + 3 = 2 +2x

The 2x can be canceled out on both sides, which left us with:

                                                     3 = 2

3 does not equal to 2, therefore, it has no solution

Solve:

Given equation

4 (5x + 1) = -2 (ax + 4)

Expand the parenthesis

4 (5x) + 4 (1) = -2 (ax) + (-2) (4)

20x + 4 = -2ax - 8

According to the concept, we need to make the variables equal to cancel them out and left with unequal constants

20x = -2ax

Divide x on both sides

20x / x = -2ax / x

20 = -2a

Divide -2 on both sides

20 / -2 = -2a / -2

[tex]\Large\boxed{a=-10}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

= 5x-39-18-12x

=5x-12x-39-18

=-7x-57

Answer:

x=5

Step-by-step explanation:

Resolvamos tu ecuación paso a paso.

4+x=9

Paso 1: simplifica ambos lados de la ecuación.

x+4=9

Paso 2: Resta 4 de ambos lados.

x+4−4=9−4

x=5

Answer:

4+x=9

or, x=9-4

or, x=5

the value of x is 5

Answer:

[tex]\huge\boxed{\sf x =6,\ y = 42}[/tex]

Step-by-step explanation:

Let the numbers be x and y

x + y = 48 --------(1)

y = 7x -------------(2)

Put Eq. (2) in (1)

x + 7x = 48

8x = 48

Divide 8 to both sides

x = 48/8

Put x = 6 in Eq. (2)

y = 7 (6)

[tex]\rule[225]{225}{2}[/tex]

Assume a is the 1st number and b is the 2nd number, a + b = 48

b = 7a (the second number is seven times the first number​)

a = a

So, equation: a + 7a = 48

a + 7a = 48

8a = 48

a = 6

To find b = 7 (6) = 42

Hope it helps!

Answer: (1,3)

Step-by-step explanation:

Let's solve this system of equations by elimination. We will multiply one or both equations such that when we combine the equations, one of the variables will completely cancel out.

Let's multiply the whole first equation by -2 to achieve this:

[tex]-2(x+2y=7)[/tex] now becomes [tex]-2x-4y=-14[/tex]

Now let's add both equations

[tex]-2x-4y=-14[/tex]

[tex]2x-y=-1[/tex]

[tex]-5y= -15[/tex]

Since we got y into a form we can solve it for, lets divide both sides by -5 to isolate it.

[tex]\frac{-5y}{-5} = \frac{-15}{-5}[/tex]

[tex]y=3[/tex]

Now that we have the value of y, we can substitute it into any equation to solve for x. Only if we have both x and y can we make an ordered pair. Let's use the second equation and substitute 3 for y.

[tex]2x-3=-1[/tex]

We can now solve for x.

[tex]2x=2[/tex] [Adding 3 to both sides]

[tex]x=1[/tex] [Dividing by 2 on both sides]

We now have both x and y, so we can put it in an ordered pair to answer the question.

[tex](1,3)[/tex]

The total cost to laminate the tabletop is $96.

The first step is to determine the area of the trapezoid.

Area of the trapezoid = 0.5 (sum of parallel sides) x height

0.5 x (6 + 10) x 3 = 24 feet²

The total cost of laminating = cost per square feet x area

$4 x 24 = $96

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Answer:

Step-by-step explanation:

The domain is the set of x values.

The range is the set of y values.

Answer: [tex]g(x) \ge f(x)[/tex] for all x such that [tex]x\le-2[/tex] or [tex]x\ge0[/tex]

Step-by-step explanation:

This question is essentially asking at what x values would the graph of g(x) be greater than (higher than) or equal to f(x).

In the graph, we can see that g(x) is greater than (or higher than) f(x) at all x's before (to the left of) point E and after (to the right of) point A. An easy way to find the points E and A is by setting f(x) = g(x).

[tex]f(x)=g(x)\\1-x^2=2x+1\\1=x^2+2x+1\\0=x^2+2x\\0=x(x+2)\\x=0\hspace{0.1cm}or\hspace{0.1cm}x=-2[/tex]

Since any value with x=-2 is left of the y-axis, we know that point E would have its x-coordinate as -2. Similarly, any point on the y-axis would have x=0; therefore, we can tell that point A would have its x-coordinate at 0.

If we remember that g(x) is greater than f(x) to the left of E and to the right of A, we can say that

[tex]g(x) \ge f(x)[/tex] for all x such that [tex]x\le-2[/tex] or [tex]x\ge0[/tex]

Perimeter of the rectangle is: 6x + 6 cm

Area of the rectangle is: 18x - 18 cm²

Area = (length)(width)

Perimeter = 2(length + width).

Given the following:

Length of rectangle = 3x - 3

Width = 6

Area = (3x - 3)(6)

Area = 18x - 18 cm²

Perimeter = 2(3x - 3 + 6) = 2(3x + 3)

Perimeter = 6x + 6 cm

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Answer:

D. Avialable

Step-by-step explanation:

the correct spelling is available :)

The answer is D.

The correct spelling of the word in the given option is : Available

Instead, here the places of a and i have been interchanged, causing it to be misspelt.

The equation of the directrix is y = -5

The equation is given as:

(x -1)^2 = 12(y + 2)

Express 12 as a product of 4 and 3

(x -1)^2 = 4 * 3(y + 2)

The parabola is represented as:

(x -h)^2 = 4p(y - k)

Where the directrix is

y = k - p

By comparison, we have:

k = -2 and p = 3

So, we have:

y = -2 - 3

Evaluate

y = -5

Hence, the equation of the directrix is y = -5

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Answer:  Point B

Reason:

This point is the highest point in the neighborhood or interval. Yes point D is higher up, but points immediately adjacent to point D are higher. This means D is not a relative max. We need a hill shape like where B is located.  In contrast, point C is a relative minimum since it is at the bottom of the valley.

Answer:

429/7 kg or 61 2/7 kg

Step-by-step explanation:

I'll answer according to how I understand this problem, but I'm not sure this is correct.

"39 kg of rice is taken out of bag of rice. If 8/22 of the rice is left, what was the original weight of the rice in the bag?"

8/22 is a strange number to work with because it could have been given as 4/11. This is another reason I'm not too sure about this problem.

8/22 = 4/11

If 4/11 is left, then since 11/11 - 4/11 = 7/11, 7/11 of the rice remains.

7/11 x = 39

x = 39 × 11/7

x = 429/7

x = 61 2/7

a) The probability of a head exists at 0.7.

b) He could improve his experiment by doing more coin flips.

Probability signifies possibility. It exists a branch of mathematics that values the event of a random event. The value exists represented from zero to one.

Given: Coin flipped 10 times.

The Head comes T times and the tail comes 7 times.

To estimate the probability of head in the outcome.

The total number of outcomes is 10 and the head comes 7 times.

a) Probability(head) = 7/10 = 0.7

The probability of a head exists at 0.7.

b) He could improve his experiment by doing more coin flips

Therefore, the correct answer is option c) doing more coin flips.

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Answer:

a^-27

Step-by-step explanation:

(a^3)^-3)^3)

(a^-9)^3)

a^-27

When we represent the expression ((a³)⁻³)³ as a power of a, the result obtained is a⁻²⁷

The following data were obtained from the question:

We can represent the expression ((a³)⁻³)³ as a power of a by using the power law of indices as illustrated below:

((a³)⁻³)³

Recall

(Bᵐ)ⁿ = Bᵐⁿ (i.e multiply the power)

Thus,

((a³)⁻³)³ = (a⁻⁹)³

= a⁻²⁷

Thus, we can conclude from the above calculation that the representation of the expression ((a³)⁻³)³ as a power of a is a⁻²⁷

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The number of bacteria present after 15 hours is 18928

An exponential equation is represented as;

y = ab^x

Where

a = y, when x = 0

From the table, we have:

y = 1796 when x = 0

So, we have:

y = 1796b^x

Also, we have the point (1, 2097)

This gives

2097 = 1796b^1

Divide by 1796

b = 1.17

Substitute b = 1.17 in y = 1796b^x

y = 1796(1.17)^x

This means that the exponential equation is y = 1796(1.17)^x

After 15 hours, we have:

y = 1796(1.17)^15

Evaluate

y = 18928

Hence, the number of bacteria present after 15 hours is 18928

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Answer:

Step-by-step explanation:

hello :

(4a) × (3b)​ =12ab

The transformation that occurred after the dilation of the parallelogram is a translation of 9 units to the right.

A unique variety of quadrilateral made up of parallel lines is called a parallelogram. A parallelogram can have any angle between its neighboring sides, but it must have opposite sides that are parallel for it to be a parallelogram. If the opposite sides of a quadrilateral are parallel and congruent, it will be a parallelogram. Consequently, a quadrilateral in which both pairs of opposite sides are parallel and equal is referred to as a parallelogram.

The initial parallelogram was dilated by a scale factor of 2 about point P.

The points of the initial parallelogram are: (-4, 0), (-2, 0), (-3, -3), (-5, -3).

The parallelogram obtained on dilation will have the points: (-6, 0), (-2, 0), (-4, -6), (-8, -6).

The points of the final parallelogram are: (3, 0), (7, 0), (5, -6), (1, -6).  

(-6,0) →(3,0)  ⇒ (x,y)→(x+h , y+k)

x = -6 , x+h = 3 ⇒ h=3-x = 3-(-6) = 9

y = 0 , y+k = 0 ⇒ k = 0

The transformation rule is (x,y)→( x+9 , y )

That is, a translation of 9 units to the right.

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Answer:

A. a translation of 9 units to the right

Step-by-step explanation:

Edge 2023

To determine where the given t-value would fall, we look for the row with heading d.f. =11. In this row, the sample statistic t = 1.910 falls between t = 1.796 and t = 2.201

The given parameters are:

This means that

df = 11 and t = 1.910

To calculate the t value,

We check the row where the heading of the degree of freedom is 11

i.e. df = 11

On this row, the t value 1.910 would be between 1.796 and 2.201

This is because 1.910 is greater than 1.796 and it is less than 2.201

Hence, the complete statement is

To determine where the given t-value would fall, we look for the row with heading d.f. =11. In this row, the sample statistic t = 1.910 falls between t = 1.796 and t = 2.201

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Using it's concept, there is a 0.625 = 62.5% probability that he or she has a bachelor's or a master's degree.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The company has 6 + 2 + 8 = 16 employees, out of which 2 + 8 = 10 have a bachelor's or a master's degree, hence the probability is:

p = 10/16 = 0.625.

0.625 = 62.5% probability that he or she has a bachelor's or a master's degree.

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The value of To from the t table will be 2.131

The following can be deduced from the information:

P(-t0 < t < t0) = 0.95

2*P(t < t0) - 1 = 0.95

P(t < t0) = 0.975

df = 15

From t-table (column 1-0.975 = 0.025) in the row 15. Therefore, t0 = 2.131.

In conclusion, the answer is 2.131.

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Answer:

3.5

Step-by-step explanation:

1 - (-2.5)   =   1 +   2.5   = 3.5

Answer:

you need to upload a pic so we can see what you're talking about

Answer:

C. 3(x+1)(x-1)-4x

Step-by-step explanation:

3(x+1)(x-1)-4x

(x+1)(x-1)=x^2-1

3(x^2-1)-4x

3x^2-4x-3

The hypothesis illustrates that the males in the group don't follow a same distribution as all the males that are in the United States.

Based on the information given, it should be noted that the degree of freedom given in this case will be:

= 4 - 1

= 3

By using the Excel function, the p-value is given as 0.0002. In this case, we've to reject the null hypothesis if the p value is less than 0.1.

Therefore, we will reject the null hypothesis in this case. In inferential statistics, the null hypothesis is that two possibilities are the same. It is observed difference is due to chance alone. Using statistical tests, it is possible to calculate the likelihood that the null hypothesis is true

Therefore, the hypothesis illustrates that the males in the group don't follow the same distribution as all the males that are in the United States.

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Answer:

1 - 100 primes numbers

Step-by-step explanation:

2,3,5,7,11,13,17,19,23,29,31,37,41,47,57,59,61,67,71,79,83,8797