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Schach [20]
3 years ago
6

Solving linear systems by graphing calculation

Mathematics
1 answer:
timama [110]3 years ago
8 0

Answer:

you have to calculate 30 by6

Step-by-step explanation:

30 x 6=57

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Penelope determined the solutions of the quadratic function by completing the square. F(x) = 4x2 8x 1 –1 = 4x2 8x –1 = 4(x2 2x)
Ymorist [56]

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

<h3>What is quadratic equation ?</h3>

Any equation of the form ax^2+bx+c=0 where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .

Given work of Penelope is

$$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+1=4\left(x^{2}+2 x+1\right) \\&0=4(x+2)^{2} \\&0=(x+2)^{2} \\&0=x+2 \\&-2=x\end{aligned}$$

Now we can see that Penelope determined the solutions of the quadratic function by completing the square. so he must have been done as following

$$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+4=4\left(x^{2}+2 x+1\right) \\&3=4(x+2)^{2} \\&\frac{3}{4} =x+2)^{2} \\&\frac{\pm\sqrt3}{2} =x+2 \\&\frac{-2\pm\sqrt3}{2} =x\end{aligned}$$

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

To learn more about quadratic equations visit : brainly.com/question/1214333

8 0
2 years ago
Help I’m so confused
velikii [3]

Answer:

5x: linear; monomial

-7: constant; monomial

x^2 + 4: quadratic, binomial

x^2 - 3x + 11: quadratic, trinomial

2x - 9: linear, binomial

Step-by-step explanation:

Name using degree: just count the highest number of variables in a single term. if it's 0, its a constant polynomial, if it's 1 it's linear, 2 quadratic, 3 cubic

Name using number of terms: just count the number of "things" added or subtracted. If there's one, it's a monomial, two: binomial, three: trinomial.

6 0
2 years ago
Describe a real-world situation that can be represented using a table and graph.
OverLord2011 [107]
Besides just using the math in everyday life, it is also used in newspapers.
8 0
3 years ago
What is 1 + 1 will give brainliest
Alexxandr [17]

Answer:

2

Step-by-step explanation:

Jk its window

4 0
3 years ago
Read 2 more answers
Parker reviews his homework before he turns it in. When he sees the equation 1.02 divided by 0.6= 0.17, he knows it is wrong. He
HACTEHA [7]

Answer:

The result of the division of a number by a fraction is larger than the fraction.

Step-by-step explanation:

Here,we note that value Parker divided by 0.6. =1.02

Written down result of the division = 1.02/0.6 = 0.17

However, since the numerator is 1.02, then the result of dividing it by a fraction should yield a higher number instead of 0.17

Therefore we check as follows

1.02/0.6 = 1.7

The error is apparently due to dividing 1.02 by 6 rather than 0.6

3 0
4 years ago
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