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Tema [17]
3 years ago
6

The first three steps of completing the square to solve the quadratic equation x2 +4x-6=0

Mathematics
1 answer:
hodyreva [135]3 years ago
8 0

Answer:


Step-by-step explanation:

1.  Move the 6 to the other side:   x^2 +4x                        =6

2.  Square half the coefficient of the x term:  (4/2)^2 = 4

3.  Add this 4, and then subtract this 4, from x^2 + 4x:

     x^2 +4x + 4 - 4                       =6

4.  Rewrite this perfect square as the square of a binomial:

      (x + 2)^2   -   4   = 6

5.  Add 4 to both sides:    (x + 2)^2 =  10

6.  Find the sqrt of both sides:  x + 2 = √

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In the science club, 1/2 the students are freshman, 1/20 are sophomores, 1/10 are juniors, and 70 students are seniors. How many
Nataly [62]

So we are using the denominator 20.

1/2 of 20 would be 10.

So, out of 20 we multiply it by 10 since it is our numerator.

Now, we have converted it to 100/200.

Freshman : 100 students

Sophomores : 10 students

Juniors : 20 students

Seniors : 70 students

6 0
3 years ago
Carol has 1 5/8 cups of yogurt to make smoothies. Each smoothie uses 1/3 cup of yogurt. What is the maximum number of smoothies
nikdorinn [45]

Answer: The answer is 4.

Step-by-step explanation: Given that -

The number of cups of yogurt that Carol has to make smoothies is given by

c_y=1\dfrac{5}{8}=\dfrac{13}{8},

and the number of cups of yogurt that each smoothies uses is given by

c_s=\dfrac{1}{3}.

Let 'n' be the number of smoothies that Carol can make with the available yogurt, then we have

n\times c_s\leq c_y\\\\\\\Rightarrow n\times \dfrac{1}{3}\leq \dfrac{13}{8}\\\\\\\Rightarrow n\leq\dfrac{39}{8}\\\\\\\Rightarrow n\leq 4\dfrac{7}{8}\\\\\\\Rightarrow n=4.

Thus, the maximum number of smoothies is 4.

5 0
3 years ago
Graph the inequality below on the number line.<br> a&gt;4
aev [14]

Answer:

Open dot on 4 with arrow going to the right.

Step-by-step explanation:

4 is open because it is not part of the set.

6 0
3 years ago
Determine if the rates are equivalent. Explain your reasoning. 5 cans of soup for $3.75; 8 cans of soup for $6.00
grandymaker [24]

I don't think they are equivalent. try it yourself


3 0
3 years ago
How many 1/3 are in 5 2/3?
tiny-mole [99]

Answer

I think that there's 5 but i'm probably wrong so I wouldn't use my answer if I were you

6 0
3 years ago
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