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7nadin3 [17]
3 years ago
7

Please help answer for 1-3 less than or equal to 0 I'm having problems with the absolute value sign and this problem

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
8 0

Answer:

1-3 is less than 0

Step-by-step explanation:

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Which expression is the product of (x + 4i)(x − 4i)(x + 4)?
Sophie [7]
Answer= x³+4x²+16x+64

Expand the following:(x + 4 i) (x - 4 i) (x + 4)
(x - 4 i) (x + 4) = (x) (x) + (x) (4) + (-4 i) (x) + (-4 i) (4) = x^2 + 4 x - 4 i x - 16 i = -16 i + (4 - 4 i) x + x^2:
-16 i + (-4 i + 4) x + x^2 (4 i + x)
 | | | | x | + | 4 i
 | | x^2 | + | (4 - 4 i) x | - | 16 i
 | | | | (-16 i) x | + | 64
 | | (4 - 4 i) x^2 | + | (16 + 16 i) x | + | 0
x^3 | + | (4 i) x^2 | + | 0 | + | 0
x^3 | + | 4 x^2 | + | 16 x | + | 64:
Answer: x^3 + 4 x^2 + 16 x + 64
7 0
3 years ago
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Given f(x) = 3x^3+ kx – 11, and x – 1 is a factor of f(x), then what is the value<br> of k?
STatiana [176]

let's recall the remainder theorem.

we know that (x-1) is a factor, that means x -1 = 0 or x = 1.

since we know that (x-1) is a factor, then dividing the polynomial by it will give us a remainder of 0, which correlates with saying that f(1) = 0, in this case, so we can simply plug in "1" as the argument, knowing it gives 0.

f(x)=3x^3+kx-11\\\\[-0.35em]~\dotfill\\\\\stackrel{0}{f(1)}=3(1)^3+k(1)-11\implies \stackrel{f(1)}{0}=3+k-11\implies 0=-8+k\implies 8=k

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2 years ago
How to find domain and range of a function
lisabon 2012 [21]

Answer:

The domain is found depending on the information you're given. In a table, the domain is found by taking all the x values given and listing them least to greatest. Same with ordered pairs. In a graph, the domain is found by first seeing if there are any restrictions and then find the x values that work and have one output.

The range is found the same way, but with the y values.

Hope this helps!!

3 0
2 years ago
Lena will use 7 cups of apples to make 4 batches of applesauc. Which expression shows the number of cups of apples in each batch
astraxan [27]

Answer:  1 3/4 cups of apples in each batch

Step-by-step explanation:

STEP  1

Writing out the equation to represent if 7 cups of  apples make 4 batches   One batch is as a result of how many  cups of apples

LET x be number of cups of apples to make each batch

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STEP 2  Solving by cross multiplication

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x cups of apples=1 batch x 7 cups of apples / 4batches

x   = 7 / 4 =  1 3/4

number of cups of apples to make each batch=  1 3/4

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