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prisoha [69]
3 years ago
13

During one week, David worked 16 hours at his normal hourly rate and

Mathematics
2 answers:
asambeis [7]3 years ago
6 0

Answer:

43.49

Step-by-step explanation:

let his normal hourly rate be x

16x+7x/2=848

39x/2=848

x=848 ÷ 39/2

=43.48717

Alborosie3 years ago
4 0
David’s hourly rate is 106 dollars an hour
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Sum of positive roots of the equation (x2 - 12x + 35) (x2 + 10x + 24) = 504 is
Digiron [165]

Answer:

(3)11

Step-by-step explanation:

We are given that

(x^2-12x+35)(x^2+10x+24)=504

We have to find the sum of positive roots of the equation.

x^2(x^2+10x+24)-12x(x^2+10x+24)+35(x^2+10x+24)=504

x^4+10x^3+24x^2-12x^3-120x^2-288x+35x^2+350x+840=504

x^4-2x^3-61x^2+62x+840-504=0

x^4-2x^3-61x^2+62x+336=0

Factor of 336

2,3,4,6,8,7,

Let x=2

2^4-2^4-61(2^2)+62(2)+336\neq0

x=2 is not the root of equation

x=-2

(-2)^4-2(-2)^3-61(-2)^2+62(-2)+336=0

Hence x=-2 is the root of equation.

x+2 is a factor of equation.

x=3

3^4-2(3^3)-61(3^2)+62(3)+336=0

Therefore, x=3  is the root of equation.

(x+2)(x-3)(x^2-x-56)=0

(x+2)(x-3)(x^2-8x+7x-56)=0

(x+2)(x-3)(x(x-8)+7(x-8))=0

(x+2)(x-3)(x-8)(x+7)=0

x-8=0\implies x=8

x+7=0\implies x=-7

Positive roots are 3 and 8

Sum of positive roots=3+8=11

Option (3) is true.

4 0
3 years ago
Which linear function represents the table?
lara31 [8.8K]

Answer:

A) y= 5x - 3

Step-by-step explanation:

(5 • x) - 3 = y

Problem Solving:

5 • -6 = -30 - 3 = -33

5 • 3 = 15 - 3 = 12

5 • 9 = 45 - 3 = 42

5 • -4 = -20 - 3 = -23

5 • -5 = -25 - 3 = -28

5 0
3 years ago
Read 2 more answers
A rope is 225 centimeters long.
n200080 [17]

Answer:

This is impossible, unless you meant centimeters. If you did, then the answer would be 113.

Step-by-step explanation:

225 - 112 = 113.

8 0
3 years ago
Help!!!! for just 3 but if you know 4 also then it’s on my page and I would appreciate the help
Rus_ich [418]
A quadratic equation is set up in the form of ax² + bx +c
First set equation = to 0
0= x² - 5x - 24
Next plug into quadratic formula( -b Plus or minus the √b²-4ac) ÷ 2a
[10 plus or minus √(25² - 4×1×24)] ÷ 2
Solve for inner parenthesis first 
√625- 96   = √529
Now set up two equations
(10 + √529) ÷2   = x   = 16.5
(10 -  √529) ÷2   = x   = -6.5 
So therefore x = 16.5 and -6.5



8 0
3 years ago
What us 115,016 rounded to the nearest thousand
grigory [225]
It would be 115,000. You round down since 16 is closer to 115,000 than 116,000.
6 0
3 years ago
Read 2 more answers
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