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adell [148]
3 years ago
6

Which equation has x=4 as the solution

Mathematics
1 answer:
Mrrafil [7]3 years ago
6 0

Answer:

x + 6 = 10

x = 4

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Determine whether the equation defines y as a function of x.<br> x+y=9 and x^2+y^2=1 and x=y^2
Murrr4er [49]

Answer:

Function: x+y=9

Not Function: x^2+y^2=1    and     x=y^2

Step-by-step explanation:

Given

x+y=9

x^2+y^2=1

x=y^2

Required

Determine if y is a function of x

Solving x+y=9

x+y=9

Make y the subject of formula

y = 9 - x

<em>Hence; y is a function of x</em>

Solving x^2+y^2=1

x^2+y^2=1

Subtract x² from both sides

y^2=1 - x^2

Square root of both sides

y =\± \sqrt{1 - x^2}

This implies that

y =\sqrt{1 - x^2}     or     y =-\sqrt{1 - x^2}

<em>Because </em>y<em> can be any of those two expressions, it is not a function.</em>

Solving x=y^2

x=y^2

Reorder

y^2 = x

Take square roots

y = \±\sqrt{x}

This implies that

y = \sqrt{x}      or        y = -\sqrt{x}

<em>Because </em>y<em> can be any of those two expressions, it is not a function.</em>

4 0
3 years ago
Dorian buys 2 pounds of almonds for $21.98 and 3 pounds of dried apricots for $
arsen [322]

Cost of 2 pounds of almonds = $ 21.98

So, cost of 1 pound will be = \frac{21.98}{2} = 10.99

Cost of 3 pounds of dried apricots = $26.25

So, cost of 1 pound will be = \frac{26.25}{3} = 8.75

So, comparing the two costs, the cost of 1 pound of dried apricot is less than 1 pound of almonds by $2.24

4 0
4 years ago
A serving size for pineapple-orange punch is 1/2 cup. Liam needs to make 72 servings of punch. He will use 8 pints of pineapple
Hunter-Best [27]
Since a serving is 1/2 cup and he needs 72 servings you can multiply 72 by 1/2 and find out that he needs to make 36 cups of punch. Two cups is a pint so he needs (36 / 2) 18 pints of juice. He already has the 8 pints of pineapple juice so 18 - 8 leaves 10 pints of orange juice.
7 0
3 years ago
Read 2 more answers
In a given year there is a 3% chance you will get in a small accident costing around $2000 and 0.1% chance you will get in a maj
Wittaler [7]

Answer:

$475

Step-by-step explanation:

There are 3 possible accident in this question

3% chance of losing $2000

0.1% chance of losing $150,000

96.9% chance of losing $0

Then the expected value that you will lose is:

3%*  $2000  + (0.1% *  $15000) + (96.9% * $0)= $75

Profit made by subtracting the price with the lose. If the company want average profit $400, the charge should be:

average profit = premium price - average lose

premium price= average profit + average lose

premium price= $400 + $75 = $475

8 0
4 years ago
78 Solve for x, with variables on both sides of equation. (Note: x is the same thing as 1x) You must show your work!
Feliz [49]
9x= x+4

Subtract x on both sides to balance the equation. 

8x= 4

Divide 8 into both sides. (the inverse of multiplication) 

x= 1/2

We can check this by plugging in x.

9(.5)= .5+4

4.5= 4.5

I hope this helps!
~kaikers
4 0
4 years ago
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