Find the (unique) solution to the following systems of equations, if possible, using Cramer's Rule.
(a) x + y = 34 2x - y = 30
(b) 2x - 3y = 5 -4x + 6y = 10
(c) 3x + y = 7 2x - 2y = 7

Answer:

Slope-intercept form:

y

=

5

x

−

10

Point-slope form:

y

−

5

=

5

⋅

(

x

−

3

)

Step-by-step explanation:

There is no difference in the amount of time it takes to develop anemia in patients with head and neck, breast, lung, and gi-colorectal cancer.

Anemia  can be described as a condition where there is  lack of enough healthy red blood cells that can transport  adequate oxygen to your body's tissues.

It should be noted that There is no difference in the amount of time it takes to develop anemia in patients with head and neck, breast, lung, and gi-colorectal cancer.

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The value of x in sequence of number is 10.

Here, first term of sequence is x and each term there after is twice the previous term. Also Fifth term is 160.

What is geometric series?

Geometric series is an infinite series of the form:

\(a+ar+a r^{2} +ar^{3} +..........\)

where r is known as common ratio.

Now, first term is x and each term there after is twice the previous term.

So the series will be;

x , 2x , 4x , 8x, ..........

Clearly this series is geometric series with common ratio 2.

And the nth term of geometric series is \(ar^{n-1}\)

⇒ fifth term is 160

\(ar^{5-1} = 160\\ar^{4} = 160\\a 2^{4} =160\\a=\frac{160}{16} \\a=10\)

Here, first term is x.

The value of x in sequence of number is 10.

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Answer:

60 • 15 = $900

Step-by-step explanation:

jsjsjjsjjs

The probability of getting a total value of $50 is 1/6.

There are three possible outcomes for Ben's prize: $5, $10, or $20.

There are two possible outcomes for Jamie's prize: $30 or $40.

Therefore, there are 3 x 2 = 6 total possible outcomes for the combined value of their prizes.

To find the probability that the total value of their prizes is exactly $50, we need to find the number of outcomes that result in a total value of $50, and divide that by the total number of possible outcomes.

The only way to get a total value of exactly $50 is that Ben wins $20 and Jamie wins $30. This is only one combination out of 6 possible combinations. So the probability of getting a total value of $50 is 1/6 or approximately 0.166.

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The mode of a dataset is the value that appears most frequently. In this case, we need to find the interval of rainfall that occurs most frequently.

From the given data, we can see that the interval "less than 0.01 inch" has the highest frequency with 165 days. Therefore, the mode of this dataset is "less than 0.01 inch"

Effective communication is crucial in all aspects of life, including personal relationships, business, education, and social interactions. Good communication skills allow individuals to express their thoughts and feelings clearly, listen actively, and respond appropriately. In personal relationships, effective communication fosters mutual understanding, trust, and respect.

In the business world, it is essential for building strong relationships with clients, customers, and colleagues, and for achieving goals and objectives. Good communication also plays a vital role in education, where it facilitates the transfer of knowledge and information from teachers to students.

Moreover, effective communication skills enable individuals to engage in social interactions and build meaningful connections with others. Therefore, it is essential to develop good communication skills to succeed in all aspects of life.

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Answer:

x = 2

y = -3

Step-by-step explanation:

Step 1: Write systems of equation

8x + 7y = -5

x = -3y - 7

Step 2: Solve for y

Step 3: Solve for x

Step 4: Check

Plug in x, y into an original equation to verify it's a solution.

2 = -3(-3) - 7

2 = 9 - 7

2 = 2

Answer:

x=2  y=-3

Step-by-step explanation:

Answer:

1. yes

Step-by-step explanation:

2. no or not enough

3.no.

4.no or not enough

5. yes

6. no or not enough...

I hope this helps. (I'm not sure what nit enough info means.)

Answer:

1. No

2. No

3. Yes

4. Not enough info

5. No enough info

6. Yes

I really hope this helps! Good luck!

The statement is false because in a Poisson distribution, the probability of success does not vary from trial to trial.

The Poisson distribution is a discrete probability distribution that describes the number of times an event occurs in a fixed time interval or spatial region, given the average rate of occurrence and assuming that the events are independent and random.

The Poisson distribution has only one parameter, λ, which represents the average rate of occurrence of the event.

The probability of observing k events in the interval is given by the Poisson probability mass function:

P(k) = (e^(-λ) * λ^k) / k!

where e is the base of the natural logarithm, and k is a non-negative integer.

The Poisson distribution assumes that the probability of observing an event at any given point in time or space is constant, and that the events are independent of each other.

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Let's use x to represent the cost of one orange and y to represent the cost of one lemon. We can then set up a system of two equations:16x + 13y = 9.29 19x + 6y = 9.05 These equations represent the total cost of buying a certain number of oranges and lemons in two different scenarios.

To understand why we need two equations, let's consider the first equation: 16x + 13y = 9.29

This equation tells us that if we buy 16 oranges and 13 lemons, the total cost will be $9.29. But we don't know the individual prices of oranges and lemons yet. That's where the second equation comes in: 19x + 6y = 9.05

This equation tells us that if we buy 19 oranges and 6 lemons, the total cost will be $9.05. Again, we don't know the individual prices yet.

By setting up a system of equations, we can solve for x and y, which represent the prices of oranges and lemons, respectively.

One way to solve this system is by elimination. We can multiply the first equation by 19 and the second equation by -16, which will allow us to eliminate y:

304x + 247y = 176.51
-304x - 96y = -144.8

Adding these two equations together gives: 151y = 31.71
Dividing both sides by 151, we get: y = 0.21
Now we can substitute this value of y into one of the original equations to solve for x. Let's use the first equation:
16x + 13(0.21) = 9.29
16x + 2.73 = 9.29
16x = 6.56
x = 0.41

So the cost of one orange is $0.41 and the cost of one lemon is $0.21.

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Answer:

y=-2

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

If two of the half planes never intersect, there is no way for the lines to reach each other hence giving no soultion

Answer:

its false

Step-by-step explanation:

Answer: 486 in

Just did this on edge

The enlargement transformation applied to the rectangular figure gives

a rectangle that is enlarged and similar to the figure.

Correct response:

The given dimensions of the picture are;

Height, \(\overline{MN}\) = 6 in.

Width, \(\overline{LP}\) = 4 in.

The length of QL' = 12  + 42 = 54

By similar triangles, we have;

\(\dfrac{\overline{L'P'}}{\overline{LP}} = \mathbf{ \dfrac{\overline{QL'}}{\overline{QL}}}\)

Which gives;

\(\dfrac{\overline{L'P'}}{6} = \mathbf{ \dfrac{54}{12}}\)

\(\overline{L'P'} = \dfrac{54 }{12} \times 6 = \mathbf{27}\)

Given that an enlargement gives similar figures, we have;

\(\dfrac{\overline{L'P'}}{\overline{LP}} = \mathbf{\dfrac{\overline{L'M'}}{\overline{LM}}} = Scale \, factor \ of \ the \ enlargement\)

Therefore;

\(\dfrac{27}{6} = \dfrac{\overline{L'M'}}{4}\)

Which gives;

\(\overline{L'M'} = \dfrac{27}{6} \times 4 = \mathbf{ 18}\)

The area of the enlarged picture is, A = \(\overline{L'M'}\) × \(\overline{L'P'}\)

Which gives;

A = 27 × 18 = 486

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Answer:

7b(4b+4c)-3c(4b+4c)

28b²+28bc-12bc-13c²

hope this helps

sorry dunno the other

A.

Divide the numbers

1 + 4x 2/2 • x =5x

1 + 4x + 1x =5x

Multiply by 1

1 + 4x + 1x=5x

Combine like terms

1 + 4x + x =5x

1 + 5x =5x

Subtract 1 from both sides of the equation

5x + 1 = 5x

5x + 1 - 1 =5x -1

Simplify

Subtract the numbers

5x = 5x -1

Subtract 5x from both sides of the equation

5x = 5x -1

5x - 5x = 5x -1 -5x

Simplify

0= -1

Result

0= -1

idk the ans in letter B

Juliet will have  13 cups mixture of the orange juice and water .

Given :-

Juliet already has 9 cups of orange juice , and she adds 32 fluid ounces of water into the  cup of orange uice syrup.

So, we have to find that how much cups of syrup does Juliet had ,

So, we know that

1 cup = 8 ounces

but she adds 32 ounces of water which means

= No. of ounces added / no. of ounces in a glass

= 32 / 8

= 4

therefore ,

9 + 4 = 13 glasses.

which means she has 13 glasses of the syrup made up of water and orange juice .

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The probability of guessing the correct sequence of 444 digits in the passcode is extremely small, approximately 1 in 3,628,800, due to the large number of possible sequences.

To calculate the probability of guessing the correct sequence of 444 digits in the passcode, we need to consider the total number of possible sequences and the number of favorable outcomes (which is 1, as there is only one correct sequence).

The passcode consists of 444 single-digit numbers (0-9) without repeated digits. In this case, the first digit can be any of the 10 options (0-9). The second digit can be any of the remaining 9 options, and so on. Therefore, the total number of possible sequences is:

10 * 9 * 8 * ... * 2 * 1 = 10!

Using the factorial notation, 10! represents 10 factorial, which is the product of all positive integers from 1 to 10.

So, the total number of possible sequences is 10!.

Since there is only one correct sequence, the number of favorable outcomes is 1.

Therefore, the probability of guessing the correct sequence is:

P(correct sequence) = Number of favorable outcomes / Total number of possible outcomes

P(correct sequence) = 1 / 10!

To calculate the actual numerical value of the probability, we can evaluate 10!:

10! = 10 * 9 * 8 * ... * 2 * 1 = 3,628,800

So, the probability of guessing the correct sequence is:

P(correct sequence) = 1 / 3,628,800

This probability is extremely small due to the large number of possible sequences.

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Answer:

its 1/ 10P4

Step-by-step explanation:

khan

Interior angles: the angle formed inside a polygon .

Exterior angles: the angles formed between sides of polygon and extended adjacent side.

The magnitude of Fowler's operating leverage can be calculated using the formula: Operating Leverage = % Change in Operating Income / % Change in Sales

To find the magnitude, we need to compare the percentage change in operating income to the percentage change in sales.

However, the information provided does not include any percentage changes, so we cannot calculate the exact magnitude.

The given options are: 1.35, 1.29, 1.15, and 2.88. Since we cannot calculate the exact magnitude, we can only choose the closest option based on the available information.

Without any additional context or data, it is not possible to determine the correct answer. However, based on the given options, the nearest choice to 1.35 would be the correct answer.

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A direct relationship between two variables is reflected in a "POSITIVE" correlation coefficient.

Correlation is a statistical technique for measuring and describing the relationship between two variables.

The variables move in the same direction when they have a positive correlation. In other words, as one variable increases, so does the other, and conversely, as one variable decreases, so does the other.

Typically, the two variables are simply observed rather than manipulated. Two scores from the same individuals are required for the correlation.

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Answer:

the answer is B

I hope you a good day!

Answer:

B

Step-by-step explanation:

You can't do anything in the parentheses because you can't add x to 15 yet since x is unknown. Thus, you add 5 to 15 and get 20 + x or B, x + 20

Answer And Explanation

Answer:

He neither earn profit nor gain loss

Step-by-step explanation:

Because he gain profit of 25 % by selling at price of 625 and gain loss of 25 % by selling second book at price of 375.

So if you add these profit and loss

    625 +375 = 1000

1000 which is his actual money

Answer:

c.141

Step-by-step explanation:

400 quarters is $100.00

100 pennies is $1.00

200 nickles is $10.00

300 dimes is $30.00

\(T(x,y)=(x+3,y-2)\)

Hope this helps.

The range of x will be -5 to 9 so -5° < x < 9°.

The three-sided shape known as a triangle is sometimes used to allude to it. Every triangle has three sides and three angles, some of which might be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

The minimum possible value of angle  3x + 15 is 0°

So,

3x + 15 = 0

x = -5

The maximum possible value of angle 3x + 15 is 42°

So,

3x + 15 = 42

x = 9

Hence the range of x will be -5° < x < 9°.

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Answer:

x= -6

Step-by-step explanation:

-4+7x=8x+2

7x-8x=2+4

-x=6

x= -6

(b) The test statistic for the t-test would be -29.96.

(f) The predicted average cob weight when there are 134 plants in the plot is 264.39 grams, and it may not be reliable due to the extrapolation beyond the observed range of plant density.

(8) The estimated change in cob weight for a five-unit increase in plant density is -3.60 grams, indicating a decrease.

(b) To perform the t-test, we need to calculate the t-statistic using the formula: t = (β1 - 0) / (SE(β1)), where β1 is the coefficient estimate for plant density and SE(β1) is its standard error. Here, the coefficient estimate for plant density is -0.720626 and its standard error is <0.0001, so the t-statistic is -29.96.

(f) To predict the average cob weight when there are 134 plants in the plot, we use the regression equation: Cob Weight = Intercept + (Plant Density x β1). Substituting the given values, we get Cob Weight = 316.37619 + (134 x -0.720626) = 264.39 grams. However, this estimate may not be reliable as it is an extrapolation beyond the observed range of plant density.

(8) The estimated change in cob weight for a five-unit increase in plant density can be calculated as: ΔCob Weight = 5 x -0.720626 = -3.60 grams, indicating a decrease. The negative sign indicates that as the plant density increases, the cob weight decreases.

(j) The intercept represents the predicted value of the response variable (cob weight) when the predictor variable (plant density) is zero. However, in this problem, it is not meaningful as it is not possible to have zero plant density in a cornfield. Therefore, interpreting the intercept is not appropriate in this context.

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Answer:

\({ \bf{let \: \: { \tt{ - {x}^{2} + 5x + 24} \: \: be \: \: { \bf{{y}}}}}} \\ { \tt{y = - {x}^{2} + 5x + 24 }} \\ { \tt{y = (x + 3)(x - 8)}} \\ for \: x - intercept : y = 0 \\ { \tt{(x + 3)(x - 8) = 0}} \\ { \bf{x = - 3 \: and \: 8}}\)

The factors to the given expression are -1(x+3)(x-8)

The x-intercepts are -3, 8

Factorization is the process in which we write an expression in its factors which when multiplied results in the original expression.

We equate the given expression to f(x)

     (-x² + 5x + 24) = f(x)

⇒ -1(x² - 5x - 24) = f(x)

⇒ -1(x² - (8-3)x - 24) = f(x)

⇒ -1(x² + 3x - 8x -24) = f(x)

⇒ -1(x(x+3) -8(x+3)) = f(x)

⇒ -1(x+3)(x-8) = f(x)

∴The factor to the given expression is -1(x+3)(x-8)

To find the x-intercepts we equate f(x) = 0

⇒ -1(x+3)(x-8) = 0

⇒ (x+3)(x-8) = 0

x-intercepts are the roots of the above equation.

∴ The x-intercepts occur where x = -3 and x = 8

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