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Korvikt [17]
1 year ago
11

I need to show u a picture of my work allow me to take a photo of my work so we can solve it

Mathematics
1 answer:
sukhopar [10]1 year ago
3 0

We can calculate the opposite of a number by multiplying it by (-1).

a) The opposite of 6 is 6*(-1)=-6.

b) The opposite of -3 is (-3)*(-1) = 3.

c) "Two numbers 3 away from 1" can be written as:

2\cdot(3)-1=6-1=5

d) A "neither positive or negative" can only be 0.

e) Opposite of 2 is -2.

f) "Two number 6 away from -3" can be written as:

2(6)-3=12-3=9

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Tyler went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 300 mg of sodium and each fr
Katena32 [7]

Answer:

<u>Tyler purchased 10 cans of soup and 5 frozen dinners.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of sodium per can of soup = 300 mg

Amount of sodium per frozen dinner = 550 mg

They all collectively contain 5,750 mg of sodium

Tyler purchased twice as many cans of soup as frozen dinners

2. Determine the number of cans of soup purchased and the number of frozen dinners purchased.

Let s to represent the number of cans of soup Tyler purchased

Let d to represent the number of frozen dinners Tyler purchased

Let's write our equation of systems:

s = 2d (1st equation)

300s + 550d = 5,750 (2nd equation)

************************************************

Substituting s and solving for d in the 2nd equation:

300s + 550d = 5,750

300 * 2d + 550d = 5,750

600d + 550d = 5,750

1,150d = 5,750

d = 5,750/1,150

<u>d = 5 ⇒ s = 2 * 5 = 10</u>

<u>Tyler purchased 10 cans of soup and 5 frozen dinners.</u>

Let's prove d = 5 and s = 10 are correct:

300 * 10 + 550 * 5 = 5,750

3,000 + 2,750 = 5,750

5,750 = 5,750

<u>We proved d = 5 and s = 10 are correct</u>

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3 years ago
The function g is defined as follows.
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Answer:

h(x) =  2x²+2

Step-by-step explanation:

Given the function g is defined as follows.

g(x) = 2x²+7

If the graph is translated by 5units vertically downwards, this means that the function will be reduced by 5 units to have;

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h(x) =  2x²+2

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3 years ago
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