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Harman [31]
4 years ago
12

Find 2x2 − 2z4 + y2 − x2 + z4 if x = −4, y = 3, and z = 2. Is -3 the correct answer?

Mathematics
1 answer:
Ket [755]4 years ago
6 0
We're given the algebraic expression 2x^2 - 2z^4 + y^2 - x^2 + z^4

By hypothesis, x = -4, y = 3 and z = 2

Let's replace each letter by its given value:

2x^2 - 2z^4 + y^2 - x^2 + z^4
2(-4)^2 - 2(2)^4 + (3)^2 - (-4)^2 + (2)^4
(2*16) - 2*16 + 9 - 16 + 16
32 - 32 + 9 - 16 + 16
9

So wrong. The correct answer is not -3, but 9.

Hope this helps! :D
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Rewrite the expression in the form x
Serga [27]

Answer:

See below (I hope this helps!)

Step-by-step explanation:

When dividing exponential terms of the same base, we can simply subtract the exponents, therefore:

\frac{x^{6} }{x^{8} } = x^{(6-8)} = x^{-2}

5 0
4 years ago
I could really really use some help. IF someone could please help me answer like 5 questions like this id appreciate it!!
Irina18 [472]
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4 0
3 years ago
A new soup recipe contains 33\%33%33, percent less sodium per serving than the old soup recipe. The old soup recipe contained xx
Mashcka [7]

Answer:

0.67x mg

Step-by-step explanation:

expression that could represent the amount of sodium per serving, in milligrams, in the new soup recipe

33% less than the old

old contains x mg

new soup: x - 33%x = x - 33/100x = x - 0.33x = 0.67x mg

67%x mg

3 0
3 years ago
Read 2 more answers
Find the length of MP. round to the nearest hundredth.
lozanna [386]

Answer:

<h2>MP ≈ 2.98 cm</h2>

Step-by-step explanation:

Use sine:

sine=\dfrac{opposite}{hypotenuse}

We have:

opposite=MP\\hypotenuse=8.7\ cm\\\alpha=20^o\\\\\sin20^o\approx0.342

Substitute:

\dfrac{MP}{8.7}=0.342

\dfrac{MP}{8.7}=\dfrac{342}{1,000}              <em>cross multiply</em>

1,000MP=2975.4             <em>divide both sides by 1,000</em>

MP=2.9754\to MP\approx2.98

6 0
3 years ago
If you are buying at item at a store for a price of $61, and there is a 6.7% tax added on top, what would be the total amount du
bekas [8.4K]

Answer:

The total amount due at the register will be: $65.09    

Step-by-step explanation:

The cost of an item = $61

tax on item = 6.7%

The tax amount =  6.7% × 61

                           = 0.067 × 61

                           = $ 4.09

The total cost = cost of an item + tax amount

                           = $61 + $4.09

                           = $65.09

Therefore, the total amount due at the register will be: $65.09                        

3 0
3 years ago
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