Solve the linear equation 2.25 – 11j – 7.75 + 1.5j = 0.5j – 1.

Mathematics

2 answers:

Citrus2011 [14]3 years ago

8 0

Answer:

Option (a) is correct.

2.25 – 11j – 7.75 + 1.5j = 0.5j – 1 simplifies to j = -0.45

Step-by-step explanation:

Given : The linear equation 2.25 – 11j – 7.75 + 1.5j = 0.5j – 1.

We have to solve the given linear equation.

Consider the given linear equation 2.25 – 11j – 7.75 + 1.5j = 0.5j – 1.

Subtract 0.5j both side, we have,

2.25 – 11j – 7.75 + 1.5j - 0.5j = 0.5j – 1 - 0.5j

Simplify, we have,

2.25 – 11j – 7.75 + 1.5j - 0.5j = -1

Adding like terms, we have,

-5.5 -10j = -1

Adding 5.5 both side, we have,

-10j = -1 + 5.5

-10j = 4.5

Divide both side by -10, we have,

j = -0.45

Thus, 2.25 – 11j – 7.75 + 1.5j = 0.5j – 1 simplifies to j = -0.45

disa [49]3 years ago

3 0

The correct answer is:
j= -0.45

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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>

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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

Jacob went on a fishing trip. This year he caught 30 fish, which is six more than twice the number he caught last year. How many

NARA [144]

Answer:

12 fish

Step-by-step explanation:

You need to work this problem backwards. If he caught 30 fish, which was six more than twice the number he caught last year, you would start by subtracting six, leaving you with 24. Then you'd have to divide by 2, because it was twice plus six as many fish, which would give you 12 fish.

$\frac{30-6}{2}$ = x