The y-coordinate whenx = 0 is 6. So, the y-intercept is 6.slope =riserunsloperiserun12 / 2= 1Part BUsing the slope and the y-intercept you found in part A, write an equation for the height in inches, y, in terms of the number of weeks, x. (Hint: Theequation for a line is y = mx + b, where m is the slope and b is the y-intercept.)

To be able to solve clearly this problem, the best thing to do is to plot the graph (see attached pic). From the graph we can see that the points form a trapezoid.

The base is formed by the segment connecting point A and point B.

While the two heights: shorter one by the segment connecting points A and D, and the longer one by the segment connecting points B and C.

The formula for area of trapezoid is given as:

A = b (h1 + h2) / 2

Where,

b = base of the trapezoid  = 3 – (-4) = 7

h1 = shorter height = 2 – (-2) = 4

h2 = longer height = 2 – (-5) = 7

Therefore the area is:

A = 7 (4 + 7) / 2

A = 77 / 2

A = 38.5

Answer:

B (6,7)

Step-by-step explanation:

point x has moved 2 places left, so you move z to places left

Answer:

2 3 + 1 3 = 3/5 + 3/5 = 1 1/5 + 2+1 = 3 + 1 !/5 = 4 1/5

5 5

Step-by-step explanation: The Slashes mean The number bellow

Please make this answer Brainlist...

Answer:

Step-by-step explanation:

Using properties of logs:

= 16 log 4

= 9.63

The probability that the sample mean salary will  be less than $29,000 is -1.51.

The central limit theorem implies that the distribution of the sample means will be roughly normally distributed if you have a population with mean and standard deviation and take sufficiently enough random samples from the population with replacement.

Central Limit Theorem for Sample Means z-score and standard error of the mean: z=ˉx−μx(σx√n)

z=ˉx−μx/(σx/√n)

where

xbar = $29,000

μx = $29,321

σx = $2,120

n = 100

inputing value into the z-formula

(29,000 – 29,321) / (2,120/√100) = -321/212 = -1.51

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Answer:

19

Step-by-step explanation:

Step-by-step explanation:

Given equation:

Simplify and convert into slope-intercept form (y = mx + b):

The slope is m = -3, the y-intercept is b = -1

See the graph below

Answer:

80 deg

Step-by-step explanation:

add up to 180 deg, we can come up with the equation 4x +5x =180. Solving this out shows us that x = 20 and the measure of angle J is 100 deg while the measure of angle M is 80 deg.

Answer:

Step-by-step explanation:

14/25

Answer:

Step-by-step explanation:

56/100=14/25

divide by GCM

To simplify the expression (2x-3)(5x^2-2x+7), we can use the distributive property.

First, multiply 2x by each term inside the second parentheses:

2x * 5x^2 = 10x^3

2x * -2x = -4x^2

2x * 7 = 14x

Next, multiply -3 by each term inside the second parentheses:

-3 * 5x^2 = -15x^2

-3 * -2x = 6x

-3 * 7 = -21

Combine all the resulting terms:

10x^3 - 4x^2 + 14x - 15x^2 + 6x - 21

Now, combine like terms:

10x^3 - 19x^2 + 20x - 21

So, the simplified expression is 10x^3 - 19x^2 + 20x - 21.

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In a parallelogram, angles that are opposite each other (as in, in opposite corners) are congruent. Angles that are next to each other (as in, on the same side) are supplementary.

It is very easy to solve for the value of y first because the expression is across from a known angle. Because these angles are opposite each other, they are congruent.

83 = 5y - 7

90 = 5y

y = 18

We can also use the same 83 degree angle to solve for the other two variables. 83 is on the same side as both of the remaining expressions, separately. As such 83 and another angle on the same side will add up to 180.

83 + -5x - 3 = 180

80 - 5x = 180

-5x = 100

x = -20

83 + z - 7 = 180

90 + z = 180

z = 90

Hope this helps!

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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The equation that shows the relationship is x = 30% * 140

From the question, we have the following parameters that can be used in our computation:

30% of 140 is x.

Of means multiplication

So, we have

30% * 140 is x

Express as equation

So, we have

30% * 140 = x

rewrite as

x = 30% * 140

Hence, the equation is x = 30% * 140

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Answer:

Hey there!

Point K has coordinates of (-2, -5)

Hope this helps :)

Answer:

Point K

Step-by-step explanation:

Since they're asking us to find (-2,-5) first we need to move 2 points to the left and then 5 points down.

(-1, -2), (-2, -1) and (2, -4) are solutions to the inequality

The given inequality is:

-x - 2y  >  3

To know which of the points given as options are the solutions to the given inequality, substitute the given points into -x - 2y, anyone that gives a result greater than 3 is a solution to the inequality

For (-1, -2)

Substitute x = -1, and y = -2 into -x - 2y

-(-1) - 2(-2)

= 1 + 4

= 5

Since 5 > 3, (-1, -2) is a solution to the inequality

For (1, -2)

Substitute x = 1, and y = -2 into -x - 2y

-(1) - 2(-2)

= -1 + 4

= 3

Since the result is not greater than 3, (1, -2) is not a solution to the inequality

For (-2, -1)

Substitute x = -2, and y = -1 into -x - 2y

-(-2) - 2(-1)

= 2 + 2

= 4

Since  4 > 3, (-2, -1) is a solution to the inequality

For (2, -4)

Substitute x = 2, and y = -4 into -x - 2y

-(2) - 2(-4)

= -2 + 8

= 6

Since   6 > 3, (2, -4) is a solution to the inequality

Therefore, (-1, -2), (-2, -1), and (2, -4) are solutions to the inequality

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Answer:

The first table is correct!

Step-by-step explanation:

If you divide the Y-var by they by the X-var you would get 12 (as an answer) for all of them...which makes them proportional, YW! :D

Table 1

\(\\ \rm\Rrightarrow \dfrac{84-48}{7-4}=\dfrac{108-84}{9-7}\)

\(\\ \rm\Rrightarrow 12=12\)

Hence verified

Step-by-step explanation:

(x,y)-----(-20,-4)-----(-17,-5)

to go from -17 to -20 you subtract 3

to go from -20 to x you subtract 3 again to get -20-3=-23

to go from -5 to -4 you add 1

to go from -4 to y you add 1 again to get -4+1=-3

(-23,-3)  (the midpoint is equidistant from both endpoints)

Answer:

68°

Step-by-step explanation:

The angles are equal to each other.  Set them equal and solve for x

5x + 18 = 8x - 12  Subtract 5x from both sides of the equation

18 = 3x - 12  Add 12 to both sides of the equation

30 = 3x  Divide both sides by 3

10 = x

Now that you have found x plug is back into  5x + 18

5(10) + 18

50 + 18 = 68

Answer:

∠ FLJ = 68°

Step-by-step explanation:

∠ EKG and ∠ FLJ are alternate exterior angles and are congruent , then

8x - 12 = 5x + 18 ( subtract 5x from both sides )

3x - 12 = 18 ( add 12 to both sides )

3x = 30 ( divide both sides by 3 )

x = 10

Then

∠ FLJ = 5x + 18 = 5(10) + 18 = 50 + 18 = 68°

The ordered pairs are (1,0), (2,6/5),(3,12/5)

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: The equation as y = 6x/5 - 6/5

putting (1,0) in the equation we get 6×1/5-6/5=0

Similarly we can find the ordered pair as y = 6/5x - 6/5

Hence, The ordered pairs are (1,0), (2,6/5),(3,12/5)

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Answer:

A(3) = 13

A(4) = 18

A(10) = 48

Step-by-step explanation:

This seems like a plug and play.

Starting with A(3). Everywhere you see an n, you'll replace it with a 3, as follows;

3 + (3-1)(5) = ?

We'll solve it step by step. First is 3-1. That's 2, bringing it to

3 + (2)(5).

2 times 5 is 10, bringing it to

3 + 10.

3 + 10 = 13, which concludes

A(3) = 13.

Now doing it for the remaining 2.

3 + (4-1)(5)

3 + (3)(5)

3 + 15

A(4) = 18

Last one...

3 + (10-1)(5)

3 + (9)(5)

3 + 45

A(10) = 48

Answer:

I suggested to go on

Bank B which offers. 2.5 %

Answer:

Step-by-step explanation:

Calculate each option and compare

Bank A

Total amount after 2 years

Bank B

Total amount after 2 years

The solution to the system is x = -6 and y = 4.

To solve the system by the addition method, we want to add the equations together in a way that will eliminate one of the variables.

Let's start by multiplying the first equation by -3 to get -3x - 9y = -18, and then add the second equation to it:

-3x - 9y = -18

+ 3x + 4y = -2

-------------

    -5y = -20

Now we can solve for y by dividing both sides by -5:

y = 4

We can substitute y=4 into one of the original equations, say x+3y=6, to solve for x:

x + 3(4) = 6

x + 12 = 6

x = -6

So the solution to the system is x = -6 and y = 4.

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