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Molodets [167]
3 years ago
7

What is the product of 7-8i

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
7 0
The product 78  - 112i
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Solving Rational Inequalities and use sign diagram to sketch the graph. Image attached for better understanding.
Digiron [165]

Answer:

x ∈ (-∞, -1) ∪ (1, ∞)

Step-by-step explanation:

To solve this problem we must factor the expression that is shown in the denominator of the inequality.

So, we have:

x ^ 2-1 = 0\\x ^ 2 = 1

So the roots are:

x = 1\\x = -1

Therefore we can write the expression in the following way:

x ^ 2-1 = (x-1)(x + 1)

Now the expression is as follows:

\frac{(x-2) ^ 2}{(x-1) (x + 1)}\geq0

Now we use the study of signs to solve this inequality.

We have 3 roots for the polynomials that make up the expression:

x = 1\\x = -1\\x = 2

We know that the first two are not allowed because they make the denominator zero.

Observe the attached image.

Note that:

(x-1)\geq0 when x\geq-1

(x + 1)\geq0 when x\geq1

and

(x-2) ^ 2 is always \geq0

Finally after the study of signs we can reach the conclusion that:

x ∈ (-∞, -1) ∪ (1, 2] ∪ [2, ∞)

This is the same as

x ∈ (-∞, -1) ∪ (1, ∞)

6 0
3 years ago
2% percent of the stude
stepan [7]
14 would be how many kids have red hair
5 0
3 years ago
Read 2 more answers
Find the area of the figure
DENIUS [597]

Answer:

89

Step-by-step explanation:

To find the area of the rectangle, you do 13 times 8. That gives you 104. Now, for the triangle, you do 1/2 base times height. That is 1/2 of (13 - (4 + 4)) times 6. That equals 1/2 of 5 times 6. So 5 times 3 is 15. 104 - 15 is 89. I hope this helped and please mark me brainliest! Thanks.

7 0
3 years ago
Please help me with this
uranmaximum [27]

Answer:

the answer is 1524

Step-by-step explanation:


6 0
3 years ago
Abby caught a fish that was 10 3/8 inches long. Brandon caught a fish that was 8 5/8 inches long. How much longer was Abby's fis
Vilka [71]

what you do is take 5 away from 3. No! Borrow 1 Whole (9) and makes it 9 13/8 - 8 5/8 then subtract the 2 fractions

\frac{13}{8}  -  \frac{5}{8} ...

and that is

\frac{8}{8}

then convert that into 1 whole. Now add the whole to the 9 and thats 10. Now, subtract the 2 whole numbers. 10-8=2 so the answer is 2

5 0
3 years ago
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