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devlian [24]
3 years ago
6

Quiz: QZ 3.1-3.2

Mathematics
1 answer:
hram777 [196]3 years ago
4 0

Answer:

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Find the zeros of y = x + 6x- 4 by completing the square.
dsp73

Answer:

\large\boxed{x=-3\pm\sqrt{13}}

Step-by-step explanation:

(a+b)^2=a^2+2ab+b^2\qquad(*)\\\\\\x^2+6x-4=0\qquad\text{add 4 to both sides}\\\\x^2+2(x)(3)=4\qquad\text{add}\ 3^2=9\ \text{to both sides}\\\\\underbrace{x^2+2(x)(3)+3^2}_{(*)}=4+9\\\\(x+3)^2=13\Rightarrow x+3=\pm\sqrt{13}\qquad\text{subtract 3 from both sides}\\\\x=-3\pm\sqrt{13}

8 0
3 years ago
Whoever answers this can you please like show how you did it Idk how to do it
shusha [124]

Answer:

a) 2500 L b) 2250 L c) 98000 L d) 14.5 kg of rice, .725 kg of beef, 48.3 repeating kg of wheat.

Step-by-step explanation:

Ok so, this question looks intimidating but I promise it's not that bad.

a) They're asking how much water (L - meaning liters) would be needed for 25 baths.

To find this, they already give you how much water is needed for 1 bath. (100) Since this is the amount for 1 bath, we can find how much water is needed for 25 baths by multiplying 100 by 25. Your answer should be 2500 L of water.

b) This is the same thing again, but with wheat. They give us the information for how much wheat is used for 1 kg of wheat, which is 600 L. The question asks how much water would be needed to produce 3.75 kg of wheat, so we multiply 600 by 3.75 which equals 2250 L.

c) This is also the same thing but this time for beef. So we multiply 40000 by 2.45 which gives us 98000 L

d) To find this, we must divide 29,000 by the amount of water needed for 1 of each item, so we can find how much we would multiply the amount needed for 1 of each item in the first place (which is the amount of rice, beef, wheat)

So, 29,000/2000 = 14.5 kg of rice

29,000/40000 = .725 kg of beef

29,000/600 = 48.3 repeating kg of wheat.

3 0
4 years ago
I need a answer to this question please help
Burka [1]
  1. Since the triangles are similar, the slope of line segment AD and line segment BD are the same.
  2. The initial value and slope of the graph are 66 and 44 respectively.

<h3>Why are the two slopes the same?</h3>

Considering the two right-angled triangles (ΔABD and ΔBCE) with the following points A(2, 154), B(1, 110), D(2, 110) and E(1, 66).

Since the triangles are similar, the slope of line segment AD is given by:

Tanθ = AD/BE

Tanθ = (154 - 110)/(110 - 66)

Tanθ = 44/44

Tanθ = 1.

Also, the slopes of line segment BD is given by:

Tan∅ = BD/CE

Tan∅ = (2 - 1)/(1 - 0)

Tan∅ = 1/1

Tan∅ = 1.

Therefore, the slope of line segment AD and line segment BD are the same because θ is equal to ∅.

<h3>What are the initial value and slope of the graph?</h3>

By critically observing the graph, we can logically deduce that the initial value of this graph is 66 and it represents the shark's distance at the initial time (0 minute).

For the slope, we have:

Slope = Δy/Δx

Slope = (154 - 66)/(2 - 0)

Slope = 88/2

Slope = 44.

Read more on slope here: brainly.com/question/17601248

#SPJ1

<u>Complete Question:</u>

The graph shows the depth, y, in meters, of a shark from the surface of an ocean for a certain amount of time, x, in minutes:

Part A: Describe how you can use similar triangles to explain why the slope of the graph between points A and B is the same as the slope of the graph between points A and C.

Part B: What are the initial value and slope of the graph, and what do they represent?

6 0
2 years ago
Convert 491 into binary number
sergij07 [2.7K]

Answer:

111101011 subscript 2

Step-by-step explanation:

491 / 2 = 245 , 1 remainder

245 / 2 = 122 , 1 remainder

122 / 2 = 61 , 0 remainder

61 / 2 = 30 , 1 remainder

30 / 2 = 15 , 0 remainder

15 / 2 = 7 , 1 remainder

7 / 2 = 3 , 1 remainder

3 / 2 = 1 , 1 remainder

1 / 2 = 0 , 1 remainder

Now, we're going to put the remainders together in reverse order to get the final answer.

111101011 ---> this is the final solution

See the image below for how you would write 111101011 subcript 2.

6 0
3 years ago
Read 2 more answers
Make a number line and show all values of x such that... x&lt;-1 and x&gt;1
Trava [24]

if this makes sense

Step-by-step explanation:

<_____* *________>

<---|------|-----|-----|-----|-----|----->

-2 -1. 0. 1. 2. 3

7 0
3 years ago
Read 2 more answers
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