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iVinArrow [24]
3 years ago
14

To solve the equation below by completing the square, what is your first step?

Mathematics
1 answer:
Artist 52 [7]3 years ago
6 0
We divide our middle number (16) in half to get 8. Next we square it and add that number to each side...8^2 = 64

answer is B
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The sum of three times a number and 4 is between -8 and 10
Alex
Alright, so we can start by writing it out by their signs.
Using PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, Subtraction) and noting that the inequality comes last, we can write it as the sum of (addition), then three times (multiplication) a number and 4 (ties in with the sum of, making it also addition).Note that we know that "a number and 4" means addition because it doesn't state to do anything with it, and we don't know what "the sum of" referred to with numbers, so they match up. Therefore, we have multiplication (3 times a number=3 * number), then addition (3 times a number, or 3 * number, added to 4, or 3*number+4), and we can do the inequality. Between -8 and 10 means that it is greater than -8 and less than 10, as 10 is the larger number, writing it out as -8< (less than) 3*number+4 < (3*number+4 is less than 10, so we have another less than sign) 10. Subtracting 4 from everything using the subtraction property of equality, we get -12<3*number<6. Next, we can divide everything by 3 to separate the number and get -4<number<2.

Feel free to ask further questions!
5 0
4 years ago
Is twenty one hundredths equivalent to one fifth
eimsori [14]
No, because 21 is not divisible by 20, unlike 100. Therefore, it cannot be simplifies any further.
8 0
4 years ago
Read 2 more answers
Four wholesalers are having specials on chicken this week.
ser-zykov [4K]

Answer:

Wholesaler A.

Step-by-step explanation:

First, put the pounds and dollars into fraction form. Then simplify those fractions. Finally, convert the fractions into decimals and compare the unit prices for each wholesaler. Whichever one is the lowest has the best price.

4 0
3 years ago
the function t(n) 8n represents the number of tires t(n) that are needed for n trucks. if t(n)=200. what is the value of n?
mr_godi [17]

Step-by-step explanation:

if I understand correctly, then the function is

t(x) = 8x

now we know, that for a specific n

t(n) = 200

that means

200 = 8n

n = 200/8 = 25

the function tells us, that for 25 trucks we need 200 tires.

8 0
3 years ago
Use the quadratic formula to solve the equation 4x^2+6x-4=0
Vesnalui [34]

Answer:

\large\boxed{x=-2\ or\ x=\dfrac{1}{2}}

Step-by-step explanation:

\text{The quadratic formula of an equation}\ ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\text{We have}\ 4x^2+6x-4=0\to a=4,\ b=6,\ c=-4.\\\\\text{Substitute:}\\\\x=\dfrac{-6\pm\sqrt{6^2-4(4)(-4)}}{2(4)}=\dfrac{-6\pm\sqrt{36+64}}{8}=\dfrac{-6\pm\sqrt{100}}{8}\\\\x=\dfrac{-6-10}{8}=\dfrac{-16}{8}=-2\ or\ x=\dfrac{-6+10}{8}=\dfrac{4}{8}=\dfrac{1}{2}

4 0
3 years ago
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