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jeka57 [31]
3 years ago
5

Which system below has no solution?

Mathematics
1 answer:
Art [367]3 years ago
4 0

Answer:

None of the above.

If that isn't a choice, make sure you have written the equations correctly in your question. This is what I'm seeing:

y = 4x and y = 2x - 3

y = -4x and y = 2x - 3

y = -4x and y = 2x + 3

y = -4-x and y = 2x - 3

Step-by-step explanation:

We are looking for a system that has the same slope and a different y-intercept (the lines will be parallel in this case and never cross)

None of your pairs have the same same slope.

The first pair have slopes of 4 and 2 respectively.

The second pair have slopes of -4 and 2 respectively.

The third pair have slopes of -4 and 2 respectively.

The fourth pair have slopes of -1 and 2 respectively.

So all of these pairs will have one solution.

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Suppose X has a continuous uniform distribution over the interval [1.3, 6.2]. Round your answers to 3 decimal places.
goldenfox [79]

Answer:

(a) 3.75

(b) 2.00083

(c) 0.4898

Step-by-step explanation:

It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].

(a)

Compute the mean of X as follows:

\mu_{X}=\frac{a+b}{2}=\frac{1.3+6.2}{2}=3.75

(b)

Compute the variance of X as follows:

\sigm^{2}_{X}=\frac{(b-a)^{2}}{12}=\frac{(6.2-1.3)^{2}}{12}=2.00083

(c)

Compute the value of P(X < 3.7) as follows:

P(X < 3.7)=\int\limits^{3.7}_{1.3}{\frac{1}{6.2-1.3}}\, dx\\\\=\frac{1}{4.9}\times [x]^{3.7}_{1.3}\\\\=\frac{3.7-1.3}{4.9}\\\\\approx 0.4898

Thus, the value of P(X < 3.7)  is 0.4898.

5 0
2 years ago
The combined perimeter of the rectangle and triangle is 63 inches. The model shows the dimensions of the rectangle. What is the
katrin2010 [14]

*See diagram in the attachment

Answer:

27 inches

Step-by-step explanation:

Combined perimeter = perimeter of rectangle + perimeter of triangle = 63 inches

Perimeter of rectangle = 2(L + W)

L = 11 in.

W = 7 in.

Perimeter of rectangle = 2(11 + 7) = 36 in.

Let perimeter of the triangle be represented by x

Therefore:

36 + x = 63

Subtract 36 from each side

x = 63 - 36

x = 27

Perimeter of triangle = 27 inches

7 0
2 years ago
The keypad on Sam’s cell phone is shown at right. As you can see,
anzhelika [568]

To complete the table we must carefully observe the keypad, we will notice that each number is equivalent to 3 letters of the alphabet except the numbers 7 and 9 which have 4 letters each.

<h3>How does the keypad work?</h3>

Previously, cell phone keypad had a different layout than today. The numbers were related to the letters of the alphabet and the number key was pressed according to the letters that were related.

For example, if you wanted to type the letter B, you would have to press the number 2 key twice.

The relationship of numbers and letters was distributed as follows:

  1. It had no letters.
  2. A, B and C.
  3. D, E and F.
  4. G, H and I.
  5. J, K and L.
  6. M, N and O.
  7. P, Q, R and S.
  8. T, U and V.
  9. W, X, Y, and Z.

According to the above, the table would be completed as follows.

Note: This question is incomplete because there is some missing information. Here is the missing information:

1. Complete this table to show the relation from letter to number.

Learn more about keypad in: brainly.com/question/1156254

3 0
2 years ago
PLEASE HELP ILL GIVE BRAINLIEST
dusya [7]

1)

(-2+\sqrt{-5})^2\implies (-2+\sqrt{-1\cdot 5})^2\implies (-2+\sqrt{-1}\sqrt{5})^2\implies (-2+i\sqrt{5})^2 \\\\\\ (-2+i\sqrt{5})(-2+i\sqrt{5})\implies +4-2i\sqrt{5}-2i\sqrt{5}+(i\sqrt{5})^2 \\\\\\ 4-4i\sqrt{5}+[i^2(\sqrt{5})^2]\implies 4-4i\sqrt{5}+[-1\cdot 5] \\\\\\ 4-4i\sqrt{5}-5\implies -1-4i\sqrt{5}

3)

let's recall that the conjugate of any pair a + b is simply the same pair with a different sign, namely a - b and the reverse is also true, let's also recall that i² = -1.

\cfrac{6-7i}{1-2i}\implies \stackrel{\textit{multiplying both sides by the denominator's conjugate}}{\cfrac{6-7i}{1-2i}\cdot \cfrac{1+2i}{1+2i}\implies \cfrac{(6-7i)(1+2i)}{\underset{\textit{difference of squares}}{(1-2i)(1+2i)}}} \\\\\\ \cfrac{(6-7i)(1+2i)}{1^2-(2i)^2}\implies \cfrac{6-12i-7i-14i^2}{1-(2^2i^2)}\implies \cfrac{6-19i-14(-1)}{1-[4(-1)]} \\\\\\ \cfrac{6-19i+14}{1-(-4)}\implies \cfrac{20-19i}{1+4}\implies \cfrac{20-19i}{5}\implies \cfrac{20}{5}-\cfrac{19i}{5}\implies 4-\cfrac{19i}{5}

7 0
3 years ago
Read 2 more answers
A pizza was divided into fourths.Jack ate 1/2 of one of the fourths what part of the pizza did he eat?
Virty [35]
He ate 1/8 of the pizza
7 0
3 years ago
Read 2 more answers
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