The point where the graphs of two equations intersect has y-coordinate 2. One equation is y=−3x+5 . Complete the other equation in the form y=mx+b if its graph has a slope of 1.

Answer:

20

Step-by-step explanation:

First solve the first equation:

5x-6=10

+6 +6

5x/5=16/5

x=3.2

Then apply the value of x to the current equation:

10 *3.2-12

=20

Answer:

20

Step-by-step explanation:

5x-6=10

-6+6   10+6

   5x=16

  5/5  16/5

     x=3.2  

10(3.2)-12

32-12

   20

Answer:

\(3 \sqrt{2} \)

Step-by-step explanation:

\( \frac{6}{ \sqrt{2} } = \frac{6}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{6 \sqrt{2} }{2} = 3 \sqrt{2} \)

We can't have a fraction that has a number under square root as it's denominator. So we will have to rationalize it, which means we will multiply the numerator and also the denominator by the number that is under the square root.

Hope this helps ;) ❤❤❤

Answer:

\(\boxed{\sf 3\sqrt{2}}\)

Step-by-step explanation:

\(\displaystyle \frac{6}{\sqrt{2} }\)

\(\sf Multiply \ both \ numerator \ and \ denominator \ by \ \sqrt{2}\)

\(\displaystyle \frac{6 \times \sqrt{2} }{\sqrt{2} \times \sqrt{2} }\)

\(\displaystyle \frac{6\sqrt{2} }{2 }\)

\(\sf Simplify\)

\(3\sqrt{2}\)

the height of the mailbag decreases as time increases, and the mailbag reaches the ground at t = 5.33 seconds.

The height of the mailbag after its release is given by the equation h = 3.05t3. At t = 2.35 seconds, the height of the mailbag is h = 3.05 * 2.35 * 2.35 = 39.58 meters. This means that the mailbag is still 39.58 meters above the ground. The equation for the height of the mailbag tells us that the height of the mailbag is decreasing at a rate of 9.15t2 meters per second. This means that the mailbag will take 39.58 / 9.15 = 4.33 seconds to reach the ground.

Therefore, the mailbag will reach the ground after 1 + 4.33 = 5.33 seconds

Here is a table of the height of the mailbag over time:

Time (seconds) | Height (meters)

------- | --------

2.35 | 39.58

2.36 | 35.43

2.37 | 31.28

... | ...

5.33 | 0

As you can see, the height of the mailbag decreases as time increases, and the mailbag reaches the ground at t = 5.33 seconds.

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Answer:

The answer is 20

Step-by-step explanation:

From the graph it shows that J is located at point 15, and Q is located at point 35

If we move 20 units from point J to point Q, we land at point Q, making it the distance they are from one another.

Galaxy B is moving away from us at a speed of 24,000 km/s.

The speed at which Galaxy B is moving away from us would be 24,000 km/s. Here's how we arrived at this conclusion:

Given: Galaxy A has a cosmological redshift in its spectrum of z = 0.01 indicating it is moving away from us at 3000 km/s.

Galaxy B has z = 0.08.We know that the redshift z is directly proportional to the speed at which the galaxy is moving away from us.

In other words, z ∝ v, where z is the redshift, and v is the speed.

Therefore, we can write:z₁/v₁ = z₂/v₂where z₁ and v₁ are the redshift and speed of Galaxy A, and z₂ and v₂ are the redshift and speed of Galaxy B.

Rearranging the formula, we get:v₂ = (z₂/z₁) x v₁

Substituting the values of z₁, v₁, and z₂ into the formula, we get:v₂ = (0.08/0.01) x 3000 km/sv₂ = 24,000 km/s

Therefore, Galaxy B is moving away from us at a speed of 24,000 km/s.

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Step-by-step explanation:

d.is your answer

Answer:

Answer:when x=2

Answer:when x=2-2×2+4y=16

Answer:when x=2-2×2+4y=164y=16+4

Answer:when x=2-2×2+4y=164y=16+4y=20/4=5

Answer:when x=2-2×2+4y=164y=16+4y=20/4=5again

Answer:when x=2-2×2+4y=164y=16+4y=20/4=5againx=-8

Answer:when x=2-2×2+4y=164y=16+4y=20/4=5againx=-8-2×-8+4y=16

Answer:when x=2-2×2+4y=164y=16+4y=20/4=5againx=-8-2×-8+4y=164y=16-16

Answer:when x=2-2×2+4y=164y=16+4y=20/4=5againx=-8-2×-8+4y=164y=16-16y=0/4=0

sorry.you have not attached graph.

Answer:

D.

Step-by-step explanation:

Answer:

2.75g=c

Step-by-step explanation:

not quite sure what your asking, but this is my best answer you take the 2.75 base cost, add the variable G for the gallons purchased which gives you 2.75g which in the end would give you the total cost (C) giving you the equation 2.75g=c

if this isnt what you were asking id be happy to help if you elaborate more or post the exact question your needing help on

The expression that expresses 18 + 36 by using the GCF of the two numbers is 18(1 +2)

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

Given the expression 18 + 36

Find the factors

18 = 18 * 1

36 = 18 * 2

Since 18 is common to both terms, hence;

18 + 36 = 18(1 +2)

Hence the expression that expresses 18 + 36 by using the GCF of the two numbers is 18(1 +2)

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The parabola Refer the attached figure, x- intercepts are (4,0) and (-2,0)

Quadratic function = f(x) = 2x²-4x-16.

To find: The graph of the quadratic function using parabola tool?

First we find the vertex form of the equation.

f(x) = 2x²-4x-16

Where, a=2 ,b=-4 , c=-16

Vertex is V,

             \(v=\frac{-b}{2a} , f(\frac{-b}{2a})\\\\\frac{-b}{2a} = \frac{4}{4} =1\\\\f(\frac{-b}{2a})=f(1)\\\\=-10\)

So, The vertex of the equation is (1,-10).

Now, we find y- intercept by putting x=0 in the equation

            \(y=2(0)^{2} -4(0)-16\\\\y=-16\)

y- intercept (0,-16)

Now, we find x- intercept by putting y=0 in the equation.

           \(2x^{2} -4x-16=0\\\\x^{2} -2x-8=0\\\\x^{2} -4x+2x-8=0\\\\x=4 \ and \ x=-2\)

x- intercepts are (4,0) and (-2,0)

Placing all the points and plot a graph.

Refer the attached figure below.

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CA would be 7 cause the perpendicular bisector splits the triangle evenly in half :]

Answer:

18.4

Step-by-step explanation:

9.2 + 9.2 = 18.4

Answer:

K= 15

Step-by-step explanation:

K/-3 +3 = -2

Simplify by subtracting 3 on each side:

K/-3 = -2-3

K/-3 = -5

Simplify further by multiplying each side by -3:

K= -5*-3

K = 15

a)The total revenue, R(x) = Price x Quantity= (170 - 0.5x) x x= 170x - 0.5x²

b)The total profit, P(x) = Total revenue - Total cost = R(x) - C(x) = [170x - 0.5x²] - [3500 + 0.75x²]= -0.5x² + 170xc - 3500

c) To find the number of units produced and sold to maximize profits, we need to take the first derivative of the profit function and equate it to zero in order to find the critical points:

P' (x) = -x + 170 = 0 => x = 170

The critical point is x = 170, so the maximum profit is attained when 170 units of suits are produced and sold.

d) Substitute x = 170 into the profit function: P(170) = -0.5(170)² + 170(170) - 3500= 14,500

Therefore, the maximum profit is 14,500.

e) Price function is: p = 170 - 0.5xAt x = 170, price per suit, p = 170 - 0.5(170)= 85

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Answer: 8 triangles

Step-by-step explanation:

If you connect lines from the middle vertex to the outside vertices you will see that the octagon can be "cut up" into 8 even triangles

Answer:

You can add up to 5 each time, so we just need to multiply 5 by 40 although we already have the first three terms.

A: 40*5 = 200

Step-by-step explanation:

21 + 200 = 221

Using the conversion factor, Joselyn bought 2700 grams of chocolate candy

A conversion factor is a numerical ratio used to convert a measurement from one unit to another. It is a mathematical expression that is used to convert a quantity expressed in one unit of measure into an equivalent quantity expressed in another unit of measure.

To convert 2.7 kg to grams, Joselyn would use a conversion factor between kilograms and grams. The conversion factor is 1000 grams per 1 kilogram, which means there are 1000 grams in one kilogram.

So, to convert 2.7 kg to grams, Joselyn would multiply 2.7 kg by the conversion factor

2.7 kg x 1000 g/kg = 2700 g

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Answer: -15v-60

Step-by-step explanation:

Answer:

-15v+60

Step-by-step explanation:

multiply -15 x V and then multiply -15 x 4 which is -60.  You have to change the - to + because a negative minus a negative equals a positive.  

Answer:

7ygfce

Step-by-step explanation:

In the given question function given is \(F(z)=1+3z^{-1} +4z^{-2}\) and by performing Z transform we get sampled time domain as f(n)=1 for all values of n          

                                                                                                                        In the given question function given is \(F(z)=1+3z^{-1} +4z^{-2}\) and by performing Z transform we get sampled time domain as f(n)=1 for all values of n            

In the given question function given is \(F(z)=1+3z^{-1} +4z^{-2}\) and by performing Z transform we get sampled time domain as f(n)=1 for all values of n                                                                                                                                                                        we need to perform the inverse Z-transform. The inverse Z-transform converts a function in the Z-domain back into the time domain.

The general form of the inverse Z-transform is given by:

f(n)= \(\frac{1}{2\pi j}\) ∮ \(_{C}\) \(F(z)z^{n-1} dz\)

​ where

F(z) is the function in the Z-domain, f(n) is the corresponding time-domain sequence, j is the imaginary unit, and ∮\(_{c}\)

​represents integration around a closed path in the Z-plane.

In this case, the function F(z) is a rational function, and we can find its inverse Z -transform using partial fraction decomposition. Let's find the inverse Z-transform step by step:

Step 1: Express F(z) in partial fraction form.

\(F(z)=\frac{1}{z^2} + \frac{3}{z} +4\)

Step 2: Find the roots of the denominator The roots of \(z^{2} =0\) and

z=0 (a double pole at the origin).

Step 3: Perform partial fraction decomposition.

We can write \(F(z)=\frac{A}{z} +\frac{B}{z^2} ​\)

​Multiplying through by \(z^{2}\) to clear the fractions we get,\(1+3z^{-1} +4z^{-2} = A+Bz^{-1}\)                                                                                                        Comparing coefficients, we get:

A=1

B=4

Step4: Apply the inverse Z transform for each term

Inverse Z transform for A/z is \(a^{n}\), where a is the root of corresponding term in the denominator. In this case a=0, so the inverse Z transform of A/z=1

The inverse Z transform of \(\frac{B}{z^2}\) is n.\(a^{n}\), where a is the root of the corresponding term in denominator. In this case a=0. So the inverse Z transform of \(\frac{B}{z^2}\) is n.\(a^{n}\)=0

therefore the time domain of function f(z) is

f(n)=1+0=1

So the sampled time domain representation of the function F(z)=\(1+3z^{-1} +4z^{-2}\) is f(n)=1 for all the values of n

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The rigid motion that verifies the congruence of two triangles using the Side-Angle-Side (SAS) criterion is the combination of a translation and a rotation.

To establish congruence between two triangles using the SAS criterion, we need to show that the triangles have two corresponding sides and the included angle equal in measure. This can be achieved through a specific rigid motion, which preserves the shape and size of the triangles.

The first step in the rigid motion is a translation. Translation involves moving the entire triangle along a straight line without altering its shape or size. By sliding one triangle along the plane, we can place the corresponding sides of the two triangles in the same position.

The second step is a rotation. A rotation is a transformation that turns the triangle around a fixed point, called the center of rotation. By rotating one triangle around its center, we can align the corresponding angles of the two triangles. By combining the translation and rotation, we ensure that the sides and the included angle of the two triangles match, verifying their congruence using the SAS criterion.

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Answer: y = 2(x + 2)² - 5

Step-by-step explanation:

          We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.

Given:

     y = 2x² + 8x + 3

Factor the 2 out of the first two terms:

     y = 2(x² + 4x) + 3

Add and subtract \(\frac{b}{2} ^2\):

     y = 2(x² + 4x + 4 - 4) + 3

Distribute the 2 into -4 and combine with the 3:

     y = 2(x² + 4x + 4) - 5

Factor (x² + 4x + 4):

     y = 2(x + 2)² - 5

Answer:

9 students

Step-by-step explanation:

First find the amount of cross-country team students, 4% * 1125 = 45

Then 20% * 45 = 9, so 9 students in the team weigh between 60 and 70 kilos.

The statement that best describes the variance in a data set is "it is the square of the standard deviation." Variance is a measure of how spread out the data is from the mean, and it is calculated by finding the average of the squared differences from the mean.

The standard deviation is the square root of the variance and represents the average distance from the mean. Therefore, the variance is the square of the standard deviation. The other statements are not accurate descriptions of variance. The variance is not related to the size of the sample or the correlation coefficient, and it does not increase along with the mean. The median is a measure of central tendency, not variability.

The statement that best describes the variance in a data set is: it is the square of the standard deviation. Variance measures the dispersion of data points from the mean, and it helps to understand the spread in the data set. It is not the size of the sample, nor another term for median, nor equal to the correlation coefficient. The variance does not typically increase along with the mean, as it is a separate measure of dispersion. Standard deviation is the square root of variance, making variance the square of the standard deviation.

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The inequality solved to give a solution of x ≥ 1 and x ≤ -3 is |x + 1| ≥ 2.

b = 1, ≥

From the diagram, the solution to the inequality is x ≥ 1 and x ≤ -3

Hence:

|x + b| ≥ 2

x + b ≥ 2 or -(x + b) ≥ 2

x ≥ 2 - b or x ≤ -2 - b

2 - b = 1 and -2 - b = -3

b = 1

Hence |x + 1| ≥ 2

The inequality solved to give a solution of x ≥ 1 and x ≤ -3 is |x + 1| ≥ 2. b = 1, ≥

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The z-score with probability 0.225 to the right is 0.15 and the z-score with probability 0.900 to the left is -1.28. This can be calculated using the Z-score table for a standard normal distribution.

(a) Probability 0.225 to the right is equal to z-score 0.15.

This can be calculated using the Z-score table for a standard normal distribution.

The probability to the right of z-score is equal to the cumulative probability of the z-score.

The cumulative probability of 0.15 is 0.225, which is the probability to the right.

(b) Probability 0.900 to the left is equal to z-score -1.28.

This can be calculated using the Z-score table for a standard normal distribution.

The probability to the left of z-score is equal to the cumulative probability of the z-score.

The cumulative probability of -1.28 is 0.900, which is the probability to the left.

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-8c^3/d^6 is equivalent to the expression

Answer:

-8c^3/d^6

You are correct!

The probability that the horse will not win the race is 0.7500.

The mathematical branch known as probability deals with determining the possibility of an event occurring. The conversions between probability and odds are feasible. This is because the odds are determined by dividing the likelihood that an event will occur by the likelihood that it won't.

Here, the odds of a horse winning a race are given as 2 to 6. Then, the probability of winning the horse race is calculated as,

\(\begin{aligned}\text{Odds}&=\frac{p}{1-p}\\\frac{2}{6}&=\frac{p}{1-p}\\2(1-p)&=6p\\2-2p&=6p\\2&=6p+2p\\8p&=2\\p&=\frac{2}{8}\\&=\frac{1}{4}\end{aligned}\)

Then, the probability of not winning the horse race is,

\(\begin{aligned}q&=1-p\\&=1-\frac{1}{4}\\&=\frac{3}{4}\\&=0.75\end{aligned}\)

The answer is 0.75. Therefore, the correct option is option c.

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The length of the other leg of the right triangle is; 89.44 centimetres

According to the question;

By the Pythagoras theorem;

Hence, It follows that;

Find the square root of both sides of the equation;

x = 89.44 centimeters

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