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IgorLugansk [536]
2 years ago
10

Using the Order of Operations, what is the solution to 2(4/2)2 - 15 + 6?

Mathematics
2 answers:
sergiy2304 [10]2 years ago
6 0
I will assume supposed to be written as :

2(4/2)² - 15 + 6

Use the acronym Pedmas
Parenthesis, Exponents , Division/Multiplication , Addition/Subtraction

2(2)² - 15 + 6
2(4) - 15 + 6
8 - 15 + 6
-1


PIT_PIT [208]2 years ago
3 0
<span>2(4/2)^2 - 15 + 6
= </span><span>2(2)^2 - 15 + 6
= </span><span>2(4) - 15 + 6
= 8 - 15 + 6
= -1</span>
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X²=14x-45 step by step please
dolphi86 [110]

Answer:

X=9 and X=5

Step-by-step explanation:

So you want to get one side to equal zero so you can factor and find x. I recommend subtracting 14x and adding 45 to both sides so you don't have to deal with a negative quadratic.

X^2 - 14X +45 = 0

Now you can factor. Your looking for two factors that equal 45 and add to -14

All factors of 45:

1 and 45, 3 and 15, 5 and 9, -1 and -45,

-3 and -15, -5 and -9

So out of those combinations -5 and -9 both multiply to 45 and add up to -14 so these are our common factors

(X-5)(X-9)=0

X-5=0 add 5 to both sides X=5

X-9=0 add 9 to both sides X=9

5 0
2 years ago
A certain region currently has wind farms capable of generating a total of 2200 megawatts (2.2 gigawatts) of power. Assuming win
sveta [45]

Answer:

<u>The correct answer is A. 4,818'000,000 kilowatt-hours per year and B. 481,800 households.</u>

Step-by-step explanation:

1. Let's review the information provided to us for solving the questions:

Power capacity of the wind farms = 2,200 Megawatts or 2.2 Gigawatts

2. Let's resolve the questions A and B:

Part A

Assuming wind farms typically generate 25​% of their​ capacity, how much​ energy, in​ kilowatt-hours, can the​ region's wind farms generate in one​ year?

2,200 * 0.25 = 550 Megawatts

550 Megawatts = 550 * 1,000 Kilowatts = 550,000 Kilowatts

Now we calculate the amount of Kilowatts per hour, per day and per year:

550,000 Kw generated by the farms means that are capable of produce 550,000 kw per hour of energy

550,000 * 24 = 13'200,000 kilowatt-hours per day

<u>13'200,000 * 365 = 4,818'000,000 kilowatt-hours per year</u>

Part B

Given that the average household in the region uses about​ 10,000 kilowatt-hours of energy each​ year, how many households can be powered by these wind​ farms?

For calculating the amount of households we divide the total amount of energy the wind farms can generate (4,818'000,000 kilowatt-hours) and we divide it by the average household consumption (10,000 kilowatt-hours)

<u>Amount of households =  4,818'000,000/10,000 = 481,800</u>

8 0
3 years ago
The segment with endpoints (0,8) and (−6,0) is dilated to a segment with endpoints (0, 6) and (−4.5,0). What is the scale factor
sergiy2304 [10]
I think it would be 4/3 because when you multiply 8 by 4/3 you get 6 and when you multiply-6 by 4/3 you get -4.5 so

4/3
5 0
3 years ago
What is the measure of angle c? (Brainliest and Bonus points for best answer)
k0ka [10]

Answer:

\displaystyle 65°

Step-by-step explanation:

Angle <em>b</em> and 135° form a <em>linear pair</em>, so when summing them up to 180°, you will have 45° left over:

\displaystyle 180° = 135° + m∠b; 45° = m∠b

Now, by the <em>Vertical</em><em> </em><em>Angles</em><em> </em><em>Theorem</em>, angle <em>a</em> and 70°, in this case, are to be in <u>congruence</u> with each other, so you have that.

Now you must find the the measure of angle <em>c</em> sinse you have already found the measure of two angles already:

\displaystyle 180° = 45° + m∠c + 70° → 180° = 115° + m∠c; 65° = m∠c

I am joyous to assist you at any time.

3 0
3 years ago
Read 2 more answers
The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative
sertanlavr [38]

The true statement about the function f(x) = -x² - 4x + 5 is that:

  • The range of the function is all real numbers less than or equal to 9.
<h3 /><h3>What is the domain and range for the function of y = f(x)?</h3>

The domain of a function is the set of given values of input for which the function is valid and true.

The range is the dependent variable of a given set of values for which the function is defined.

  • The domain of the function: f(x) = -x² - 4x + 5 are all real number from -∞ to +∞

For a parabola ax² + bx + c  with the vertex \mathbf{(x_v,y_v)}

  • If a < 0, then the range is f(x) ≤ \mathbf{y_v}
  • If a > 0, then the range f(x) ≥  \mathbf{y_v}
  • Here; a = -1,

The vertex for an up-down facing parabola for a function y = ax² + bx + c is:

\mathbf{x_v = -\dfrac{b}{2a}}

Thus,

  • vertex \mathbf{(x_v,y_v)} = (-2, 9)

Range: f(x) ≤ 9

Therefore, we can conclude that the range of the function is all real numbers less than or equal to 9.

Learn more about the domain and range of a function here:

brainly.com/question/26098895

#SPJ1

5 0
2 years ago
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