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Misha Larkins [42]
3 years ago
13

Solve the equation by completing the square: z^2 - 2z = 323

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
3 0

Answer: A. -17 , 19

Step-by-step explanation:

Move all terms to one side.

z^2-2z-323=0

​

​​z^2 −2z−323=0

Factor : z^2-2z-323

​​ z^2−2z−323.

(z-19)(z+17)=0(z−19)(z+17)=0

Solve for z.

z=19,−17

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Rewrite the fraction without an exponent (7/8)^-2
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Identify the solution and graph of the given inequality. 34 > 3(2 − x)
zloy xaker [14]

Answer:

x > 28/3

Step-by-step explanation:

34 > 3(2 − x)

simplify the bracket

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It is in slope intercept form; y = mx + b

where mx is the slope and b is the y-intercept;

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And b is 0; which means at 0 where the slope will be applied, go up 28 times and to the right 3 times.

Hope this helps!

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3 0
3 years ago
Colin invests £3300 into his bank account.
lorasvet [3.4K]

Answer:

$3714.18

Step-by-step explanation:

From the question;

Amount invested is $3300

Rate of interest 3% per year compound interest

Time is 4 years

We want to determine the amount that accrued after 4 years

In this case we are going to use the compound interest formula;

That is;

A=P(1+(\frac{R}{100})^nwhere A is the amount, P is the principal , r is the rate of interest and n is the time taken.

Therefore;

Amount=3300(1+(\frac{3}{100})^4\\             = 3300(1.03)^4\\             = 3300(1.1255)\\             = 3,714.179

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3 years ago
2a is any number a multiplied by the number 2. Calculate the value of 2a for a = 7.
marshall27 [118]

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14

Step-by-step explanation:

step 1.

substitute 'a' with 7

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step 2.

solve 2 × 7

answer is 14

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