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yanalaym [24]
3 years ago
13

Suppose a-b=0 which one of these expressions equals ab

Mathematics
1 answer:
I am Lyosha [343]3 years ago
6 0

Answer:

  E)  b^2

Step-by-step explanation:

Solving the first equation for a, we get ...

  a - b = 0

  a = b . . . . . . add b to both sides

Now, the expression ab can be rewritten as

  ab = bb = b^2 . . . . . . substitute b for a

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Given that g(x) = 2x ^ 2 - 2x + 8 , find each of the following. a) g(0) b) g(- 2) C) g(3) d) g(- x) e) g(1 - t)
raketka [301]

Answer:

g(-2)=20

Step-by-step explanation:

Given g(x)=2x^2-2x+8, substitute what is in the parentheses for x to find an output.

For g(-2), the term -2 is in the parentheses. Thus, substitute x=-2 into 2x^2-2x+8 to find g(-2):

g(-2)=2(-2)^2-2(-2)+8,\\g(-2)=2\cdot 4+4+8,\\g(-2)=8+4+8,\\g(-2)=\boxed{20}

5 0
2 years ago
Read 2 more answers
2. Write the equation of a circle that has a diameter of 12 units if its center is at (4,7).
ahrayia [7]

Answer:

The Answer is B

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here diameter = 12, thus radius = 12 ÷ 2 = 6 and (h, k) = (2.5, - 3.5), thus

(x - 2.5)² + (y - (- 3.5))² = 6², that is

(x - 2.5)² + (y + 3.5)² = 36 ← equation of circle

5 0
3 years ago
Can someone help please
Ira Lisetskai [31]
Hello there! I can help you! The formula for compound interest is P(1 + r)^t, where P= principal (initial amount), r = interest rate (in decimal form), and t = time (in years). Let's do this step by step. First off, we add the rate into 1. 4% is the interest rate (0.04 in decimal form). 1 + 0.04 is 1.04. Now, what we will do is raise that number to the 2nd power, because the time that elapses is 2 years. 1.04² is 1.0816. That's that. Now, multiply 7,500 to find the total amount of money. 1.0816 * 7,500 is 8,112. There. Toby's savings account balance in 2 years is £8,112.

Note: To solve for compound interest questions like it, add 1 to the percentage rate in decimal form, raise that number to a power based on the number of years (for example, raise the number to the 7th power if we are looking for the balance after 7 years), and then multiply that number by the starting amount. After you raise the number by a power, there may be a lot of numbers behind it. Whatever you do, DO NOT delete the number. Keep it there and multiply it by the principal.
5 0
3 years ago
3/10 as an equivalent fraction with a denominator of 100
viktelen [127]
30/100.

To get to this, you need to change the denominator to 100. 10 x 10 = 100 so whatever you do to the denominator, you do to the numerator. 3 x 10 = 30 so your answer would be 30/100.
8 0
3 years ago
What is the range of the function f(x) = 3x2 + 6x – 8?
umka2103 [35]

Answer: C... {y|y ≥ -1}

Step-by-step explanation:

f(x) is a quadratic equation with the x-side squared and a is positive which means that the graph of the function is a parabola facing up. The range of f(x) is given by {y|y ≥ k}, where k is the y-coordinate of the vertex.

in vertex form (h, k) = (-1, -11)

This meaning the range ={y|y ≥ -11}

5 0
3 years ago
Read 2 more answers
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