Plumber gets 75 cents per km travelled what would he get if he travelled 120 kms for the day

Answers

Answer 1

Answer: You would just multiple 75 cents by 120 km. That'd give you the amount. 120 x 0.75= 90. That is $90.

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Which two numbers add up to 7 and multiply to 6

Answers

1 and 6 add up to 7 and multiply to 6. You know this because to answer this, a person must consider all the factors of 6. Those factors are 1,2,3,and 6. Now, you must consider which pairs (1 and 7; 2 and 3) add up to 7. 2 and 3 add up to 5 and 1 and 6 add up to seven. That would show you that 1 and 6 are your answers.

Hey, Ubergamer!
2 numbers that add up to 7 and multiply up to 6 are 6 and 1.
6+1=7
6*1=6
I hope this helps;)

Find the stationary point on the curve y=3x^4 +1 and determine its nature

Answers

$y=3x^4+1\ny'=12x^3\n\n12x^3=0\nx=0\leftarrow \text{stationary point}\n\n\forall x\in(-\infty,0)\ y'<0\Rightarrow y\searrow\n\forall x\in(0,\infty)\ y'>0\Rightarrow y\nearrow\n\Downarrow\ny(0)=y_(min)$

$y_(min)=3\cdot0^4+1=1$

Which table is a justification for the given solution to the system of equations?(2, −1)
(2, −1)

y={4x−92x−5

Answers

Given that y = 4x – 9 and y = 2x - 5 (2 , -1)
substituting equation 1 to the equation 2
Y = 4x – 9
4x – 9 = 2x - 5
2x = 4
x = 2
Substitute 2
Y = 2(2) - 5
Y = -1
So the ordered pair a the solution the system of equtions given

If c = 8h +2 calculate c when h = 5

Answers

replace h with its val.ue and multiple with 8 then add 2:
8× 5 + 2 = 42
c = 42

Which expressions are equivalent to 16x4 − 64? Check all that apply. 16x4 + 16x – 16x – 64 16x4 – 8x – 8x – 64 (4x2 + 8)(4x2 – 8) 16(x2 + 2)(x2 – 2) 4(4x4 – 8)

Answers

The given expression is $16x^(4)-64.$

It can be written as $16x^(4)+16x-16x-64.$ [ we can add or subtract the same thing]

The expression can be factored as difference of two squares

$16x^(4)-64=[4x]^(2)-(8)^(2)=(4x^(2)+8)(4x^(2)-8)$

The common factor of the two terms is 16

WE can take 16 as common factor: $16x^(4)-64=16[x^(2)-2^(2)]$

= $16(x^(2)+2)(x^(2)-2)$

Options 1 ,3,4 are the equivalent expressions.

16x^4 - 64

equivalent expressions are :
16x^4 + 16x - 16x - 64
(4x^2 + 8)(4x^2 - 8)
16(x^2 + 2)(x^2 - 2)

How to solve x^4-33x^2+200=0

Answers

x^4-33x^2+200=0 (factor that out)
x^4-33x^2+200 -----> (x^2-8)(x^2-25)

new equation:
x^2-8=0 x^2-25=0 (solve for x for both equations)
x^2=8 x^2 =25

the x's are still squared so you have the square root both sides of the equations to get rid of the ^2:

x^2=8 x^2=25
$\sqrt{ x^(2) } = √(8)$ $\sqrt{x ^(2) } = √(25)$

x= $2 √(2)$ x=5

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