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cupoosta [38]
3 years ago
13

1. what is the x of "5x - 4 = 3x + 8"

Mathematics
1 answer:
maks197457 [2]3 years ago
5 0

Answer:

1. x= -2  2. x= -5  3. x= -11/10

Step-by-step explanation:

1. 5x-3x -4+4=3x-3x+8+4   2x/2=-4/2  x=-2

2. -4x+7x +7-7=-7x+7x-8-7  3x/3=-15/3  x=-5

3. 6x+4x+7-7=-4x+4x-4-7   10x/10=-11/10   x=-11/10

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3 years ago
X^2 - y^2 = 100
luda_lava [24]

Answer:

20

Step-by-step explanation:

Let's start by rewriting the second equation in terms of "x":

x+y=5

Subtract y from both sides:

x=5-y

Now, substitute "5-y" for "x" in the first equation:

(5-y)^2-y^2=100

Note that:

(a-b)^2=a^2-2ab+b^2

25-10y+y^2-y^2=100

Cancel out like terms:

25-10y=100

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-10y=75

Divide both sides by -10

y=\frac{75}{-10}=\frac{15}{-2}=-\frac{15}{2}

Now, substitute this value back into either of the equations to solve for x.

x+y=5\\x-\frac{15}{2}=5\\

Add 15/2 to both sides:

x=5+\frac{15}{2}\\x=\frac{10}{2}+\frac{15}{2}\\x=\frac{25}{2}

Now, find the difference:

x-y=\frac{25}{2}-(-\frac{15}{2})=\frac{25}{2}+\frac{15}{2}=\frac{40}{2}=20

8 0
2 years ago
3/5 divide by 2/3 help it's for my homework ​
gregori [183]

Answer:

.9

Step-by-step explanation:

3 0
3 years ago
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3 years ago
An investor invests $2,500 into a mutual fund and earns 5.75% on the principle for each of three years. How much interest has ac
HACTEHA [7]

Answer:

Interest in 3 years = $456.52

Step-by-step explanation:

As we know the the formula of compound interest

Total amount =  A(1+\frac{r}{n})^{nt}

Here n = number of times amount is compounded

r = rate of interest

t = period

Here A = $2500

r = 0.0575

n = 1 (compounded annually)

t = 3 years

Therefore amount after 3 years

P=2500(1+\frac{.0575}{1})^{3}

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We have to calculate the interest then

Interest = $2956.52-$2500 = $456.52

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8 0
3 years ago
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