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4 years ago

What is the rounded amount 3.56- to the nearest dollar

Mathematics

1 answer:

Semenov [28]4 years ago

8 0

Answer: $4.00

Step-by-step explanation: 56 ronded to to the nearest hundredths equal to 100. 1+3=4

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How do I solve this quadratic form ?

kati45 [8]

The answer to the question

3 0

3 years ago

Simplify.

erma4kov [3.2K]

(5b^2 - 3b + 2) + (2b - 4)
Just expand out all the brackets
5b^2 - b - 2

7 0

3 years ago

Look at the graph: What is the slope?

Arisa [49]

Answer:

The slope is 2/3

Step-by-step explanation:

The line crosses through the blue grid lines leaving gaps on each. Find two points which cross at an intersection such as (0,30) and (30,50). Find the slope by substituting these points into the slope formula:

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{50-30}{30-0} =\frac{20}{30} =\frac{2}{3}$

5 0

3 years ago

Samantha measured 40 1/2 inches. Over the 5 1/2 years, she grew to a height of 57 inches. During the 5 1/2 years, what was the a

Alex17521 [72]

Answer:

The average yearly change in samanthas height was of 3.3 inches.

Step-by-step explanation:

She mesured 40 1/2 = 40.5 inches.

In 5 1/2 years = 5.5 years, she grew to 57 inches.

During the 5 1/2 years, what was the average yearly change in samanthas height?

The total change was of 57-40.5 = 16.5 inches

16.5/5 = 3.3

The average yearly change in samanthas height was of 3.3 inches.

7 0

3 years ago

how do you rewrite : y=x^2-5x+9 in standard form using complying the square? I keep getting to : x^2-5x-25/4 but I’m not allowed

yawa3891 [41]

I presume with this you meant to say you want this equation in general form, also known as vertex form, which is y = a(x - h)² + k, instead of standard form, which is y = ax² + bx + c, which is what the original equation is already in.

So with completing the square, you first have to isolate the x-terms. To do this, subtract 9 on both sides of the equation:

$y-9=x^2-5x$

Next, we want to make the right side of the equation a perfect square. To find the constant of this soon-to-be perfect square, divide the x-coefficient by 2 and square that quotient. In this case:

$-5\div 2 = -\frac{5}{2}\\\\(-\frac{5}{2})^2=-\frac{5}{2}\times-\frac{5}{2}=\frac{25}{4}$

Now add 25/4 on both sides of the equation:

$y-9+\frac{25}{4}=x^2-5x+\frac{25}{4}$

Now to combine -9/1 and 25/4, they must have the same denominator, and to find it you must find the LCD, or lowest common denominator, of 1 and 4. To find it, list the multiples of both and the lowest one they share is their LCD. In this case, the LCD is 4. Multiply both sides of -9/1 by 4/4 and then add the numerators up:

$-\frac{9}{1}\times \frac{4}{4}=-\frac{36}{4}\\\\-\frac{36}{4}+\frac{25}{4}=-\frac{11}{4}\\\\y-\frac{11}{4}=x^2-5x+\frac{25}{4}$

Next, we need to factor the right side of the equation. Using this format of $a^2-2ab+b^2=(a-b)^2$ , we can factor it as:

$y-\frac{11}{4}=(x-\frac{5}{2})^2$

Now lastly, add both sides by 11/4, and your final answer will be $y=(x-\frac{5}{2})^2+\frac{11}{4}$ 

8 0

4 years ago