X=8
–5x + 5y = –10
solve for Y

answer step by step multiply the number all

The solution of the given system of equations is (4, 7).

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are y=3x-5 -------(I) and y=1/2 x+5 -------(II)

Substitute equation (I) in (II), we get

3x-5=1/2 x+5

3x-1/2 x=5+5

2.5x=10

x=4

Substitute x=4 in equation (I), we get

y=3(4)-5

y=7

So, solution is (4, 7)

Therefore, the solution of the given system of equations is (4, 7).

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The parts of the graph when labelled are :

There is the origin which is where the line starts from. The x-axis represents the independent variable, which is the variable that is being manipulated or changed in the experiment.

The y-axis represents the dependent variable, which is the variable that is being measured or observed. A trend line is a line drawn on the graph that shows the overall pattern or trend of the data. The x and y - intercepts are the points where the trend line crosses the x and y - axis.

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Answer:-4

Step-by-step explanation:

Answer:

r^2 = 1

Step-by-step explanation:

The computation of the  coefficient of determination for the two variables is shown below:

here the perfect positive linear correlation is r = 1

And, the negative linear correlation is r = -1

Based on this, the coefficient of determination is equivalent to the linear correlation coefficient square

\(r^2 = (\pm)^2 \\\\ = 1\)

This above describes that variation that lies between the variables as explained by the linear regression line

The coefficient of determination for two variables that have perfect positive linear correlation or perfect negative linear correlation is denoted by; r² = (±1)² = 1

The mathematical computation of the coefficient of determination for two variables that have perfect positive linear correlation can be in two forms and is as follows;

In lieu of this, the coefficient of determination is equivalent to the square of linear correlation coefficient.

The computation above describes that variation that lies between the variables as explained by the linear regression line.

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The solution to the nonlinear system of equations is (x, y) = (-3, -2) and (x, y) = (1, 6). These points represent the coordinates where the two equations intersect and satisfy both equations simultaneously.

To solve the nonlinear system of equations:

Equation 1: \(y = -x^2 + 7\)

Equation 2: y = 2x + 4

We can equate the right sides of both equations since they both represent y.

\(-x^2 + 7 = 2x + 4\)

To simplify the equation, we can rearrange it to be in the standard quadratic form:

\(x^2 + 2x - 3 = 0\)

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use factoring:

(x + 3)(x - 1) = 0

From this equation, we get two possible solutions:

x + 3 = 0 => x = -3

x - 1 = 0 => x = 1

Now, we substitute these x-values back into either equation to find the corresponding y-values.

For x = -3:

y = 2(-3) + 4

y = -6 + 4

y = -2

For x = 1:

y = 2(1) + 4

y = 2 + 4

y = 6

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Answer:

175

Step-by-step explanation:

Average queue length = (arrival rate * service time) / (1 - arrival rate * service time)

For the given problem, the average queue length is:

Average queue length = (50 * 35) / (1 - 50 * 35)

= 175

solution

hope it helps...!!!

Jacob can earn money playing the game but he won't lose any money.

Answer:

\((f\circ g)(1)=3\)

Step-by-step explanation:

\((f\circ g)(1)=f(g(1))=f(1^2-3)=f(-2)=-2(-2)-1=4-1=3\)

Ask me more about composite functions if you are still confused

Answer:

The answer is 5x

Step-by-step explanation:

Answer:

x=5/8

Step-by-step explanation:

Answer:

\( x \leqslant \sqrt{5}\) ​

Step-by-step explanation:

Hope this helped!

Answer:

step 4 I believe

Step-by-step explanation:

The measure of other two sides of triangle is12cm and 17cm.

What is a triangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes.

In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane. In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle.

If all of geometry is the Euclidean plane, then all triangles are enclosed in a single plane, however in higher-dimensional Euclidean spaces, this is no longer the case. Except when otherwise specified, this article discusses triangles in Euclidean geometry, namely the Euclidean plane.

here it is given in the question

the base of the triangle is 10cm.

then the value of other two side is 12cm and 17cm.

Hence, The measure of other two sides of triangle is12cm and 17cm.

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Answer:

d

Step-by-step explanation:

it makes the most logical sense

hope this ohelps

branilest plzz

Answer:

yes

Step-by-step explanation:

5 times 3 is 15 and 12 and 15 and 12 divided  by  3 you will get 5/4

Answer:

ok so from looking at this if he earns 14 dollars he saves 5 so he saves

5/14 so lets just multiply this by the 56

56*5/14=20

so he saves 20

20

Hope This Helps!!!

\( \frac{ \sqrt{x + 8} - \sqrt{x} }{8} \times \frac{ \sqrt{x + 8} + \sqrt{x} }{ \sqrt{x + 8} + \sqrt{x} } \\\)

\( \frac{( \sqrt{x + 8} ) {}^{2} - ( \sqrt{x}) {}^{2} }{8( \sqrt{x + 8} + \sqrt{x} ) } \\ \)

\( \frac{( \sqrt{x + 8} ) {}^{2} - ( \sqrt{x}) {}^{2} }{8( \sqrt{x + 8} + \sqrt{x} ) } \\ \frac{x + 8 - x}{8 \sqrt{x + 8} + 8 \sqrt{x} } = \frac{8}{8 \sqrt{x + 8} + 8 \sqrt{x} } \)

Answer:

x = 4

Step-by-step explanation:

Given

0.75x + 3 = 6(x - 3) ← distribute

0.75x + 3 = 6x - 18 ( subtract 0.75x from both sides )

3 = 5.25x - 18 ( add 18 to both sides )

21 = 5.25x ( divide both sides by 5.25 )

4 = x

Answer:

x = 0

Step-by-step explanation:

-(x + 2) – 2x = -2(x + 1)

-x-2-2x = -2x-2

-3x-2 = -2x-2

-3x+2x = -2+2

x = 0

Answer:

Step-by-step explanation:

-(x + 2) – 2x = -2(x + 1)

=> - x - 2 - 2x = -2x - 2

=> - 2 + 2 = - 2x + 2x + x

=> 0 = x or x = 0 (Ans)

Answer:

B. Mary is more likely to draw a blue ball among the first two balls to be drawn, because 4/6 > 2/6

Explanation:

The probability of an event is the ratio of the number of ways that event can happen to the total number of possible outcomes. In this case, Mary is drawing three balls without looking, and there are six possible combinations of the outcome, as listed.

We need to determine whether Mary is more likely to draw a red ball followed by a green ball or a blue ball among the first two balls to be drawn. Let's consider each option separately.

•Option A: Mary is more likely to draw a red ball followed by a green ball, because 4/6 > 2/6

This option assumes that the probability of drawing a red ball followed by a green ball is 4/6, or two-thirds. However, there are only two ways to get this outcome: RBG and GRB. So, the probability of drawing a red ball followed by a green ball is 2/6, or one-third.

•Option B: Mary is more likely to draw a blue ball among the first two balls to be drawn, because 4/6 > 2/6

This option assumes that the probability of drawing a blue ball among the first two balls is 4/6, or two-thirds. However, there are three ways to get this outcome: BGR, BRG, and GBR. So, the probability of drawing a blue ball among the first two balls is 3/6, or one-half.

•Option C: Mary is more likely to draw a blue ball among the first two balls to be drawn, because 5/6 > 2/6

This option assumes that the probability of drawing a blue ball among the first two balls is 5/6. However, this is incorrect because there are only six possible outcomes, and only three of them have a blue ball among the first two balls. So, the probability of drawing a blue ball among the first two balls is 3/6, or one-half.

•Option D: Mary is more likely to draw a red ball followed by a green ball, because 5/6 > 2/6

This option assumes that the probability of drawing a red ball followed by a green ball is 5/6. However, as we saw in option A, the probability of this outcome is actually 2/6, or one-third.

Therefore, the correct answer is Option B: Mary is more likely to draw a blue ball among the first two balls to be drawn, because 3/6, or one-half, of the possible outcomes have a blue ball among the first two balls.

A right triangle's hypotenuse is its longest side, its "opposite" side is the one that faces a certain angle, and its "adjacent" side is the one that faces the angle in question. To describe the sides of right triangles, we utilize specific terminology. The side opposite the right angle is always the hypotenuse of a right triangle.

What do you mean by right triangle?

A right triangle is one that has an interior angle of 90 degrees. The hypotenuse, which is also the side of the right triangle that faces the right angle, is its longest side. The height and base make up the two arms of the right angle.

We take is that you are aware of the Pythagorean Theorem.

The Pythagorean Theorem's opposite is:

A triangle is a right triangle if the square of the length of the longest side equals the sum of the squares of the other two sides.

in ΔABC, if \(c^2 = a^2 + b^2\) hen ∠C is a right triangle, ΔPQR being the right angle.

By contradiction, we may demonstrate this.

Considering that \(c^2 = a^2 + b^2\) , the triangle in ΔABC and is not a right triangle.

By the Pythagorean Theorem,

\((PQ)^2 = a^2 + b^2\)

But we know that;

\(a^2 + b^2 = c^2\) and c =AB

So, \((PQ)^2 = a^2 + b^2\) \(= (AB)^2\)

i.e. \((PQ)^2 = (AB)^2\)

We can take positive square roots of PQ and AB because they are side lengths.

                           PQ = AB

Since ΔABC is congruent to ΔPQR and ΔPQR is a right triangle, ΔABC must also be a right triangle.

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There are no orange M&Ms in the bag, thus there is no probability of picking one.

An event is any subset of the sample space, which is the set of all potential results of a random experiment, according to probability theory. By dividing the number of favourable outcomes by the total number of possible outcomes, the probability of an event is determined.

Classical probability, empirical probability, and subjective likelihood are just a few of the several varieties of probability. Empirical probability is based on actual observations or experiments, as opposed to classical probability, which is predicated on the idea that all events are equally likely. On the other hand, subjective probability is dependent on opinion or conviction.

Picking a yellow M&M has a 4/20 chance, which drops to 1/5.

The likelihood of selecting a blue or green card M&M is the result of adding the odds of selecting a blue and a green:

To reduce to 1/2, 2/20 + 8/20 = 10/20.

The likelihood of choosing an orange M&M is zero because there are no orange M&Ms in the bag.

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The complete question is:

Answer:

100:2  =200:x

200*2/100=4

Step-by-step explanation:

Given data:

ML = 25

MK = 10

We need to find the angle L, for that the side opposite the to the angle L is always perpendicular that is MK

Perpendicular = 10

The side opposite the the right angle is always Hypotenues in right angle triangle so, the Hypotenues is ML

Hypotenues = 25

Now, by using the sine ratio we find the angle L

Thus, the closest value is 23.6 degree.

Answer: Option (B)

According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.

For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.

For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.

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