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3 years ago

Simplify (8j3 + 3j2 + 7) – (3j3 – 7j2 – 7j – 12)

Mathematics

2 answers:

ehidna [41]3 years ago

4 0

8j³+3j²+7-(3j³-7j²-7j-12)
8j³+3j²+7-3j³+7j²+7j+12
8j³-3j³+3j²+7j²+7j+7+12
5j³+10j²+7j+19

KengaRu [80]3 years ago

4 0

Answer:

$5j^3 + 10j^2 +7j+19$

Step-by-step explanation:

$(8j^3 + 3j^2 + 7) - (3j^3 - 7j^2 - 7j - 12)$

To simplify it we need to remove the parenthesis

WE multiply the negative sign inside the parenthesis'

$8j^3 + 3j^2 + 7- 3j^3 + 7j^2 + 7j + 12$

Now we combine like terms

$8j^3 - 3j^3 =5j^3$

$3j^2 +7j^2=10j^2$

$7+12=19$

Expression becomes

$5j^3 + 10j^2 +7j+ 19$

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Find the domain and range of f(x). Please explain your answer.<br> f(x) = √(x^2+5x+6)

timama [110]

Answer:

Domain:— [ x ≥ -2, x ≤ -3 ]

Range:— [ y ≥ 0 ]

Step-by-step explanation:

You may use graphing calculator to draw a graph and examine the graph’s domain and range. However, I’ll explain further about the graph of quadratic in a surd.

First, factor the quadratic expression in the surd:—

$\displaystyle \large{f(x)=\sqrt{(x+3)(x+2)}}$

We can find the x-intercepts by letting f(x) = 0.

I’ll be separating in two parts — one for finding x-intercept and one for finding y-intercept.

__________________________________________________________

Finding x-intercepts

Let f(x) = 0.

$\displaystyle \large{0=\sqrt{(x+3)(x+2)}}$

Solve for x, square both sides:—

$\displaystyle \large{0^2 = (\sqrt{(x+3)(x+2)})^2}\\\displaystyle \large{0=(x+3)(x+2)}$

Simply solve a quadratic equation:—

$\displaystyle \large{x=-3,-2}$

Therefore, x-intercepts are:—

$\displaystyle \large{\boxed{x=-3,-2}}$

__________________________________________________________

Finding y-intercept

Let x = 0.

$\displaystyle \large{f(x)=\sqrt{(0+3)(0+2)}}\\\displaystyle \large{f(x)=\sqrt{3 \cdot 2}}\\\displaystyle \large{f(x)=\sqrt{6}}$

Therefore, y-intercept is:—

$\displaystyle \large{\boxed{\sqrt{6}}}$

__________________________________________________________

However, I want you to focus on x-intercepts instead. We know that the square root only gives you a positive value. That means the range of function can only be y ≥ 0.

For domain, first, we have to know how or what the graph looks like. You can input the function in a graphing calculator as you’ll see that when x ≥ -2, the graph heads to the right while/when x ≤ -3, the graph heads to the left. This means that the lesser value of x-intercept gets left and more value get right.

See, between -3 < x < -2, there is no curve, point or anything between the interval. Therefore, -3 < x < -2 does not exist in function.

Hence, the domain is:—

x ≥ -2, x ≤ -3

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2 years ago

1. 0.483 converted into a fraction in simplest form

hodyreva [135]

Answer:

u should move the point to right hand sight ... so how many point u move that is the answer

Step-by-step explanation:

0.483=483/1000

0.841= 841/1000

0.553=553/1000

0.299=299/1000

1.77=177/100

hope my answers correct ...

7 0

3 years ago

Read 2 more answers

Select True or false for each statement

PilotLPTM [1.2K]

Answer:

False

True

False

Step-by-step explanation:

1. We have to get the sum as follows :

$3\frac{4}{9} + 4\frac{6}{9}$

= $\frac{31}{9} + \frac{42}{9}$

= $\frac{31 + 42}{9}$

= $\frac{73}{9}$

= $8\frac{1}{9} \neq 7\frac{1}{9}$

So, this is false.

2. We have to get the sum as follows :

$4\frac{5}{6} + 1\frac{3}{6}$

= $\frac{29}{6} + \frac{9}{6}$

= $\frac{29 + 9}{6}$

= $\frac{38}{6}$

= $6\frac{2}{6}$

So, this is true.

3. We have to get the difference as follows :

$4\frac{5}{8} - 2\frac{4}{8}$

= $\frac{37}{8} - \frac{20}{8}$

= $\frac{37 - 20}{8}$

= $\frac{17}{8}$

= $2\frac{1}{8} \neq 2\frac{3}{8}$

So, this is false.

4. We have to get the difference as follows :

$7\frac{5}{8} - 4\frac{2}{8}$

= $\frac{61}{8} - \frac{34}{8}$

= $\frac{61 - 34}{8}$

= $\frac{27}{8}$

= $3\frac{3}{8} \neq 3$

So, this is also false. (Answer)

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3 years ago

Find the value of x to the nearest tenth

Bess [88]

Answer:

X = 7.24 or 7.2

Step-by-step explanation:

Tan46/1 = x/7

Cross multiply to get this outcome:

7tan(46)

Put into calculator

Then your answer will be X = 7.24 or 7.2

Hope that helps :)

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3 years ago

X = y - 3

Leviafan [203]

The answer is A. (1, 4), because when the values are substituted in to the equations, you get 1 = 4 - 3 and 1 + 12 = 13, which are both correct. I hope this helps!

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3 years ago