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maw [93]
3 years ago
6

Find the values of c and d that would make the following equation true

Mathematics
1 answer:
Hitman42 [59]3 years ago
5 0

Answer:

c = 2, d = 3

Step-by-step explanation:

multiply factors on left side gives

9 c y^{3+d} = 18y^{6} ( divide both sides by 9 )

cy^{3+d} = 2y^{6}

For both sides to be equal then

c = 2 and 3 + d = 6 ⇒ d = 3

As a check

left side = 2y^{3} × 9y^{3} = 18y^{6} = right side




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Solve the system algebraically. y = 3 -1/2 x 3x + 4y = 1 What is the value of x?
4vir4ik [10]

Answer: x=-11

Step-by-step explanation:

You can use the Method of substitution.

Substitute the equation y=3-\frac{1}{2}x into the equation 3x + 4y = 1 and then you must solve for the variable x:

3x + 4y = 1\\\\3x + 4(3-\frac{1}{2}x) = 1\\

Apply Distributive property:

3x + 12-\frac{4}{2}x = 1\\3x+12-2x=1

Subtract 12 from both sides of the equation and then add the like terms. Then you get:

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strojnjashka [21]
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7 0
3 years ago
$1 invested for 1 Year at 7.2% compound semiannually
WITCHER [35]

Answer:

Sum = $1.073

Interest = $0.073

Step-by-step explanation:

Given that $1 is invested for one year at 7.2% interest which compounds semi-annually.

Semi-annual means there should be two equal intervals in a year i.e. 6 months interval.

Now, the semi-annual rate of interest is \frac{7.2}{2} = 3.6%.

Therefore, the invested money will become 1\times [1 + \frac{3.6}{100} ]^{2}  

= $1.073

Therefore, the interest obtained will be $(1.073 - 1) = $0.073. ( Answer )

7 0
3 years ago
Translate the point (15,32) using the rule (x,y) > (x +3, y - 7)
anzhelika [568]

Answer:

(18, 25 )

Step-by-step explanation:

The translation rule

(x, y ) → (x + 3, y - 7 )

means add 3 to the original x- coordinate and subtract 7 from the original y- coordinate, then

(15, 32 ) → (15 + 3, 32 - 7 ) → (18, 25 )

3 0
3 years ago
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