6. Which ordered pair is a solution to this system of equations below ? *7х + 5y = 59Зх — 9y = 159О(( -17, -12)О (-17, 12)О(17, -12)(17,12)

Answer: 43x10

Step-by-step explanation:

The perimeter of the figure is 83.2 cm

Here, we want to the perimeter of the figure

To get this, we simply add the lengths of the sides

Mathematically, we have this as;

Answer:

38

Step-by-step explanation:

[tex]f(-4)=(-4)^2-4(-4)+6 \\ \\ =16+16+6 \\ \\ =38[/tex]

f(-4) = (-4)^2 -4(-4) +6

f(-4 = 16+16+6

f(-4) = 38)

Having the probability distribution in the range from 0 to 20, the sum of all probabilities should give 1. This will be useful to estimate the missing value (P(x = 15)).

Let's establish the sum of probabilities:

Now, we can replace values and solve for P(x = 15):

The probability of selling 15 cheesecakes on a given day is 0.28 (28%)

Now, to estimate the probability of selling at least 10 cheesecakes can be calculated by summing the probabilities of selling 10, 15, or 20. In this case, we include the 10 because it says at least. Then:

Replacing values:

The probability of selling at least 10 is 0.59 (59%))

As per the Pythagoras theorem, the possible length of the third side are 30 or 32.

Pythagoras theorem:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

Given,

A triangular frame has two side lengths measuring 18 inches and 12 inches.

Here we need to find the possible length of the third sides.

WE know that, the third side of a must be greater than the sum of the other two sides.

So, we have to add the given sides then w get get the value,

=> 18 + 12

=> 30.

So, therefore, the third side must be greater than 30.

From the given options the possible values of the third side are 30 and 32.

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Answer:24 in. 28in. 20in.

Step-by-step explanation:

The given expression is a quadratic expression. We would simplify by applying the factorisation method. We would determine two numbers whos sum or difference is 12 and whose product is - 28. These numbers are 14 and - 2. It becomes

The correct options are

A) (7x - 2)

B) ((x + 2)

The linear equation that passes through (-2, 11) and (1, -4) is:

y = -5*x + 1

The general linear equation is:

y = a*x +b

Where a is the slope and b is the y-intercept.

If the line passes through points (x₁, y₁) and (x₂, y₂) then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Here we know that the line passes through the points (-2, 11) and (1, -4), then the slope is:

a = (-4 - 11)/(1 + 2) = -15/3 = -5

y = -5*x + b

To find the value of b, we use one of the two given points, here i will use (1, -4), it gives:

-4 = -5*1 + b

-4 + 5 = b

1 = b

So the linear equation is:

y = -5*x + 1

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Answer: The option is true.

Step-by-step explanation:

The value of x is greater than '-3' and less than '7'. And, the only option C is showing the interval rightly. In interval notation, we'll write it in small brackets like:

 (-3,7)

Answer:

[tex]1.09375 \times 10^5[/tex]

Step-by-step explanation:

[tex]1400000=1.4 \times 10^6 \\ \\ \frac{1.4 \times 10^6}{1.28 \times 10}=1.09375 \times 10^5[/tex]

step 1

Find out the circumference of the circle

where

D=2(4)=8 km ----> the diameter is two times the radius

substitute

Remember that the circumference subtends a central angle of 360 degrees

so

Applying proportion

Find out the arc length by a central angle of 135 degrees

x=3pi km

therefore

Answer:

A. y = −5

Step-by-step explanation:

Yw :)

Answer:

Since we are dividing by a negative number, we must reverse the inequality sign.

[tex] - 4x \leqslant 36[/tex]

[tex]x \geqslant - 9[/tex]

To find how much di the stock gain or lose in value after 5 days, we just have to sum the values of the Gain/Loss column from the first row to the fifth one, like this:

Total gain or loss = -2.25 + (-1.5) + 1.25 + (-0.75) + 2.25 = -1

Then, the stock lose $1 in value ($-1)

S5 = 20

A6 = 25

A1=

d=

The general formula for arithmetic sequence is:

An = A1 + (n - 1)d

25 = A1 + 6d - d (1)

And the formula for arithmetic sum:

Sn = n(A1 + An)/2

20 = 5(A1 + 25 - d)/2

8 = A1 + 25 - d (2)

We have a system of two equations with two variables.

25 = A1 + 5d

8 = A1 + 25 - d

For both equations, we can solve for d and then equal both equations as follows:

5 - A1/5 = d (1)

A1 + 17 = d (2)

A1 + 17 = 5 - A1/5

A1 = -10.

Now we just replace the value of A1 in equation 1:

d = 7

Answer: 3

Step-by-step explanation:

Therefore the answer is C.

Given:

The expression is,

Simplify the expression,

Answer:

Numerator is 2x - 5.

Denominator is x + 7.

Answer:

You have the right answer

Step-by-step explanation:

We need to write an equation relating x (leg CD) to the given data.

The image shows the right triangle ACD, with legs, in ft, given by:

Also, angle DAC is 25.4º. Since CD is the opposite leg, and AC is the adjacent leg to this angle, we have:

Thus, option A is correct.

Also, we can multiply both sides of the above equation by 1600, to find the equivalent equation:

Thus, option C is also correct.

Notice that:

Therefore, only options A and C are correct.

The function that matches the graph above is -ln(x+3). The answer is option d.

As we can see, the ln(x) has a transformation since it was multiplied by -1 (changing its direction), and is shifted three units to the left, represented by (x+3). We have to remember that the ln(x) function passes through the point (1, 0), and shifted three units to left makes the function passes through the point (-2, 0) (this is the x-intercept).

Gorge drives 40 miles each hour

Distance covered per day = 320 miles

Number of hours George works per day = 8 hours

Distance covered by George per hour = 320/8

Distance covered by George per hour = 40 miles

Gorge drives 40 miles each hour

Using proportions, the number of sections that will be in the finished fence is of:

8.5 sections = 8 and 1/2 (as a mixed number).

A proportion is a fraction of a total amount, and arithmetic operations such as multiplication or division are used to find the equivalent amounts.

In the context of this problem, we have that the relevant lengths are given as follows:

Hence, applying a rule of three, as the total length is proportional to the length of each section, the number of sections is given by the division of the total length of the fence by the length of each section, as follows:

Number of sections = 38.25/4.5 = 8.5 sections = 8 and 1/2 (as a mixed number).

The total length of the fence is missing, and it is of 38.25 feet.

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The given system of equations is:

Add the two equations to eliminate the variable y:

Substite x = 1 into the first equation:

Subtitute x=-1 into the second equation:

Therefore, the points (-1, 2) and (1, 2) are solutions of the system.

The graph of the system is:

In order to determine the money Aisha need at the beginning, use the following formula for interest compound anually:

- Cf is the money obtained after n years = $800.00

- C is the initial amount of money = ?

- r is the annually rate interest = 4%

- n is the time = 2

Solve for C in the previous formula, and replace the values of the given parameters:

Then, Aisha will have to deposit $739.64

The length of arc is given as:

Therefore, we can solve for the length of the arc:

weekly pay = 750

There are 48 weeks in a year.

To calculate the annual salary multiply the weekly gross pay by the number of weeks in a year:

750 x 48 = $36,000

In order to find x, we apply the trigonometric ratio

Given:

Hence,

Therefore, the value of x, the adjacent side is 5.45 units to the nearest hundredth

A mathematical phrase in which the sides are not equal is referred to as being inequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

here, conjunctions matches the graph is 6 ≥y-3 ≥ 8

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Solution:

We are required to determine which of the events given in the options are NOT independent?

Note: Not independent in another words means dependent.

Thus, the question is asking us to pick the option that is dependent.

Firstly, let us look at what dependent events are.

Events are dependent if the outcome of one event affects the outcome of another. For example, if you draw two colored balls from a bag and the first ball is not replaced before you draw the second ball then the outcome of the second draw will be affected by the outcome of the first draw.

Now that we understand what dependent events are, let us use that knowledge to select the correct option

(1) A coin is tossed twice in a row.

The outcome of the second throw is not affected by the first throw. Thus, these events are independent

(2) A red jelly bean is taken from one jar and a yellow jelly bean is taken from another jar:

The outcome of the yellow jelly bean taken from one jar is not affected by A red jelly bean is taken from another jar. Thus, these events are independent

(3) A card is drawn from a standard deck, and then another card is drawn without the first one being replaced.

Since the first card drawn is not replaced, the other cards drawn will be dependent on the type of card drawn in the first draw. Thus, these events are dependent

(4) A bag contains 2 red marbles, 5 blue marbles, and 3 green marbles. A marble is picked and then placed back in the bag. Then another marble is picked.

Since the first marble picked is replaced before picking the second one, the second draw will not be affected by the first draw. Hence, these events are independent

Conclusion:

The correct answer is the third option. That is "A card is drawn from a standard deck, and then another card is drawn without the first one being replaced"

In the next graph, the data points and the line of the best fits are shown.

The equation of the line of best fit is: