{4x+3y=6
{2x -5y=16

Which of the following points is the solution to the system?

The sum of the square roots of 16i is zero, as the positive and negative square roots cancel each other out when summed up.

The sum of the square roots of 16i is found by first determining the square roots of the given complex number. The complex number 16i can be expressed in terms of its polar form, which then allows us to apply De Moivre's Theorem in order to find the square roots.

First, 16i is purely imaginary, with a magnitude of 16 and an argument that is π/2 or -3π/2 radians. By taking the square root of its magnitude and halving the argument, we find the two square roots, which are in fact ±4√i. Therefore, if we consider both the positive and negative square roots, the sum of the square roots of 16i would be 4√i + (-4√i), which simplifies to 0.

The sum of the square roots of 16i is 4 + 4i * cos (π/8) + 4i * sin(π/8).

To find the sum of the square roots of 16i, we first need to find the square root of 16i. To do this, we can write 16i in polar form.

16i = 16(cos (π/2) + isin(π/2))

Then, we can find the square root of 16i by taking the square root of the magnitude and halving the argument.

√16i = √16(cos (π/4) + isin(π/4))

√16i = √16 * cos (π/8) + √16 * isin(π/8)

√16i = 4(cos (π/8) + isin(π/8))

Therefore, the sum of the square roots of 16i is 4 + 4i * cos (π/8) + 4i * sin(π/8).

Answer:

[tex]\text{The integral factors are }(3x-4)(2x+15)[/tex]      

Step-by-step explanation:

Given the quadratic polynomial

[tex]6x^2+37x-60[/tex]

we have to find the integral factors of the above polynomial.

[tex]\text{The polynomial is }6x^2+37x-60[/tex]

By splitting middle-term, the polynomial can be written as

[tex]6x^2+37x-60[/tex]

[tex]6x^2-8x+45x-60[/tex]

Taking 2x common from first two terms and 15 from last two terms.

[tex]2x(3x-4)+15(3x-4)[/tex]

Taking (3x-4) common

[tex](3x-4)(2x+15)[/tex]

which are required factors of given polynomial.

Hence, option 1 is correct.

Answer:

4.5 cups of lettuce for 1 cup of tomatoes

Step-by-step explanation:

Answer:

The degree of the polynomial is 5

Step-by-step explanation:

The correct answer is:

Discrete graph.

Explanation:

A discrete graph is a graph of disconnected points.

Since they are disconnected, this means the graph only has values at the points drawn, not between.

The opposite of a discrete graph is a continuous graph; it is a graph of connected points. Since the points are connected, the graph has values between all of the points. This is similar to what we learned in geometry about a line; a line has an infinite number of points. This is true of the connections between points in a continuous graph.

Since a discrete graph is the opposite of a continuous graph, this means it does not have an infinite number of points; a discrete graph has a finite number of points.

Answer:

It's D

2-i

Step-by-step explanation:

Answer:

it is geometric

Step-by-step explanation

We have been given with the series

200,40,8,1.6

Arithmetic sequence is the sequence in which difference between consecutive terms is same that is common difference d

d=a_2-a_1

d=40-200=-160   herea_2=40,a_1=200

d=8-40=-32          herea_2=8,a_1=40

We can see the difference is not same

Hence, the given sequence is not arithmetic sequence.

Geometric sequence is the sequence in which ratio of consecutive terms is same that is common ratio r

r=\frac{a_2}{a_1}

r=\frac{40}{200}=\frac{1}{5}   herea_2=40,a_1=200

r=\frac{8}{40}=\frac{1}{5}          herea_2=8,a_1=40

r=\frac{1.6}{8}=\frac{1}{5}             herea_2=1.6,a_1=8

We can see the ratio is  same.

Hence, given sequence is geometric

Therefore, Option 1 is correct given sequence is geometric.

Answer:

The correct answer is A. geometric

Step-by-step explanation:

Answer:

im cool

Step-by-step explanation:

Answer:

98% hope this helped

Step-by-step explanation:

The arrangement from least to greatest is 0.18 < 0.20< 0.21< 0.24.

Numbers can be arranged in ascending order, from least value to highest value. The arrangement is left to right. Increasing order is another name for ascending order.

Given:

0.21,1/5 , 0.18, 24%

Now, writing each fraction in decimal form

1/5 = 0.2

24% = 24/100 = 0.24

So, we have the following numbers

0.21, 0.20, 0.18, 0.24

Hence, the arrangement from least to greatest is 0.18 < 0.20< 0.21< 0.24.

Learn more about Ascending order here:

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To calculate the cost of 1 ream of paper from the total cost of 10 reams, divide $49 by 10 to get $4.90 per ream.

To find out how much it costs for 1 ream of paper when 10 reams cost $49, we simply divide the total cost by the number of reams. In this case:
Cost per ream = Total cost / Number of reams
Cost per ream = $49 / 10
Cost per ream = $4.90

Therefore, the cost for 1 ream of paper is $4.90.

Answer:

Equation of line become [tex]y= \frac{- 1 *x}{3}+ 5[/tex].

Step-by-step explanation:

slope of the line

we know that the formula to calculate the slope between two points is equal to

Slope (m) = [tex]\frac{y_{2}- y_{1} }{x_{2}-x_{1}}[/tex].

substitute the values

(m) = [tex]\frac{6 - 7} }{ -3 - (-6)}[/tex].

(m) = [tex]\frac{-1} }{3}[/tex].

With the slope m and the point (-6, 7)  find the equation of the line

we know that

the equation of the line in the point-slope form is equal to

[tex](y - y_{1}) = m ( x - x_{1})[/tex].

substitute the values

[tex](y - 7) = \frac{-1}{3} (x - ( -6))[/tex].

[tex](y - 7) = \frac{-1}{3} (x + 6)[/tex].

[tex](y - 7) = \frac{-x}{3} +2 )[/tex].

On adding both sides by 7.

[tex]y= \frac{-x}{3}  - 2 + 7 [/tex].

[tex]y= \frac{-x}{3}+ 5[/tex].

Therefore, equation of line become [tex]y= \frac{-1 *x}{3}+ 5[/tex].

Answer:

1 and 8.

Step-by-step explanation:

Two angles will be congruent if both measure the same. Then, as p is parallel to q we have that the alternate external angles (pair of angles out of the parallel lines, one on the right of the transversal line and the other on the left of the transversal line) has the same measure. In this case, 1 and 8 are alternate external angles.

Given the function's conditions, the value of f(7) must be less than or equal to 24 due to the concave-down nature indicated by the negative second derivative, making 20, 22, or 24 possible values for f(7).

The student asked about determining possible values for a function f(x) given a set of conditions: f(5)=20, f'(5)=2, and f"(x)<0 for x>=5. The negative second derivative indicates that the function is concave down for x>=5, meaning the rate of increase of f(x) is decreasing. Starting at x=5 with a value of 20 and a slope of 2, we can deduce that after moving 2 units to x=7, the value of f(7) cannot be greater than what it would be if f(x) were linear, since f"(x)<0 implies the function's rate of growth is decreasing. Therefore, f(7) must be less than or equal to 20 + 2*(7-5), which is 24.

Since the rate of increase is decreasing and the function cannot increase at a rate faster than the initial slope of 2, the possible values for f(7) among the given choices must be less than or equal to 24. Thus, the possible values for f(7) could be 20, 22, or 24.

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The value of f(7) is 24.

Given the function f with conditions f(5)=20, f'(5)=2, and f''(x)<0 for x ≥ 5, we need to find possible values for f(7) from the choices given: 28, 20, 26, 24, and 22.

Here is a step-by-step solution:

Since the function is concave down, the rate of increase of the function will decrease as x moves from 5 to 7:

Therefore, among the choices 28, 20, 26, 24, and 22, the possible value for f(7) given the conditions is 24.