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hjlf
3 years ago
5

When the sum of 7 and twice a positive number is subtracted from the square of the​ number, 0 results. find the number?

Mathematics
1 answer:
Lilit [14]3 years ago
3 0
<span>x^2 - (7 + 2x) = 0
x^2 - 2x - 7 = 0
Solve this using the quadratic equation, only the positive solution is wanted</span>
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Natalie works in a department store selling clothing. She makes a guaranteed salary of $300 per week but is paid a commission on
Luba_88 [7]

Answer:  Natalie make $ 367.5 in a week  in which she made $225 in sales .

Natalie make $ ( 300+x ) in a week  in which she made $ x  in sales .

Step-by-step explanation:

Base Salary of Natalie =  $300

Also, she gets 30% of the her total sales for the week.

If total sales in a week = $225

commission = 30% of $225

= $ ( 0.30 × 225)

= $ 67.5

Natalie got = Base Salary  + Commission

= $300 + $ 67.5

= $ 367.5

∴ Natalie make $ 367.5 in a week  in which she made $225 in sales .

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= $ ( 0.30 × x)

= $ 0.30 x

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7 0
3 years ago
Logx(8x-3)-logx 4=2<br> please help ill give you everything i have !!
Gelneren [198K]
Logx (8x-3) - logx 4 = 2
logx [(8x-3)/4] = 2
x^2=(8x-3)/4
4x^2=4(8x-3)/4
4x^2=8x-3
4x^2-8x+3=8x-3-8x+3
4x^2-8x+3=0
4(4x^2-8x+3=0)
(4^2)(x^2)-8(4x)+12=0
(4x)^2-8(4x)+12=0
(4x-2)(4x-6)=0
2(4x/2-2/2)2(4x/2-6/2)=0
4(2x-1)(2x-3)=0
4(2x-1)(2x-3)/4=0/4
(2x-1)(2x-3)=0
Two options:
1) 2x-1=0
2x-1+1=0+1
2x=1
2x/2=1/2
x=1/2

2) 2x-3=0
2x-3+3=0+3
2x=3
2x/2=3/2
x=3/2

Answer: Two solutions: x=1/2 and x=3/2
6 0
3 years ago
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