Ben worked 5 hours at x dollars per hour. Julie worked 8 hours
and earned twice as much as Ben per hour. Phil worked 10
hours and earned 4 dollars an hour less than Julie. Choose the
expression that is correctly simplified and best represents
their total wages.
A. 31x - 4
B. 31x – 40
C. 41x - 10
D. 41x -40

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Explanation:

Let's focus on the root x = 2i. Square both sides to get rid of the imaginary component and then get everything to one side.

x = 2i

x^2 = (2i)^2

x^2 = 4i^2

x^2 = -4

x^2+4 = 0

You should find that the root x = -2i leads to x^2+4 = 0 as well.

So the equation x^2+4 = 0 produces the complex roots x = 2i and x = -2i. This tells us that x^2+4 is a factor of the answer. The other factor is x-5 due to the real number root x = 5.

We'll multiply those two factors mentioned:

(x-5)(x^2+4)

w(x^2+4) ..... let w = x-5

wx^2 + 4w

x^2(w) + 4(w)

x^2(x-5) + 4(x-5) .... plug in w = x-5

x^3 - 5x^2 + 4x - 20

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The last step is to triple each term so that we go from the leading term of x^3 to 3x^3. This will give us a lead coefficient of 3.

So we go from this

x^3 - 5x^2 + 4x - 20

to this

3x^3 - 15x^2 + 12x - 60

after tripling everything. This expression has the same roots as the previous one. Scaling the function only stretches it vertically, but the roots aren't changed.

Answer:

2w2-5w-11 just subtract the second set of numbers from the first but it has to be like terms such as anything that is squared would only be applicable to another term with that is squared. a term is any group of number separated by a plus or a minus but it is not a term if it is separated by a multiplication symbol or a division symbol

Answer:

2w^2 - 9w - 5

Step-by-step explanation:

I got it right in Grandpoint.

[tex]\frac{1}{6} .(y-1)>3=>y-1>3.6=18=>y>18+1=19\\[/tex]

[tex]\frac{1}{6(y-1)} >3=>\frac{1}{6(y-1)} -3>0=>\frac{1-18(y-1)}{6(y-1)} >0\\=> \left \{ {{1-18(y-1)>0} \atop {6(y-1)>0}} \right. /or/\left \{ {{1-18(y-1)<0} \atop {6(y-1)<0}} \right. \\=>\left \{ {{19-18y>0} \atop {y-1>0}} \right. /or/\left \{ {{19-18y<0} \atop {y-1<0}} \right.\\ =>\left \{ {{y<19/18 } \atop {y>1}} \right. /or/\left \{ {{y>19/18} \atop {y<1}} \right.=>\frac{19}{18} >y>1[/tex]

P/s: I don't know exactly the question so i answer in 2 ways =))

ok done. Thank to me :>

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Explanation:

A = multiples of 5 between 1 and 30

A = {5,10,15,20,25,30}

B = multiples of 6 between 1 and 30

B = {6,12,18,24,30}

There are 6 items in set A and 5 items in set B. This gives 6+5 = 11 items overall; however, notice that "30" shows up twice. So we have to subtract off 1 to account for this. This means there are 11-1 = 10 unique values that are either a multiple of 5, a multiple of 6, or a multiple of both. This is out of 30 numbers in the set {1, 2, 3, ... , 29, 30}

The probability we want is 10/30 = 1/3

Answer:

18

Step-by-step explanation:

63/7 = 9

Reduction factor is 9

2x9 = 18

x = 18

Hope that helps

Answer:

x = 18

Step-by-step explanation:

63 divided by 7 equals 9, so 7 is 9 times smaller, meaning 2 must be too

2 times 9 is 18

x=18

Let's get it done !

Answered by : " Unknown "

Answer:

1913.34

Step-by-step explanation:

1784x0.0725=129.34

129.24+1784.00=1913.34

Answer:

see explanation

Step-by-step explanation:

To find the zeros equate f(x) to zero , that is

(x + 1)²(x - 3)(x - 4) = 0

Equate each factor to zero and solve for x

x- 4 = 0 ⇒ x = 4

x - 3 = 0 ⇒ x = 3

(x + 1)² = 0 ⇒ (x + 1) = 0 , x + 1 = 0 ( 2 factors ) , then

x = - 1 with multiplicity 2

Answer:

It might be -10:9 or 9: -10 Hope this helps :)

k=72

Explanation:

72/6=12

12+5=17

Answer:

  k = 72

Step-by-step explanation:

This is a 2-step linear equation. It is solved in the usual way.

Step 1: add the opposite of the constant that is on the side with the variable

  k/6 +5 -5 = 17 -5

  k/6 = 12

Step 2: multiply by the reciprocal of the coefficient of the variable.

  (k/6)(6) = (12)(6)

  k = 72

Answer:

Plan A is $3 cheaper can Plan B.

Step-by-step explanation:

first equation: 1.5t+9

second equation: .50t+38

Then substiute the 26 for x. So you get 48 for Plan A and 51 for Plan B. Then subtract so you can get 3, for Plan A is three dollars cheaper than Plan B.

Answer: No

Explanation: According to me, if you use the pythagorean formula which includes the formula of a right triangle. If you hold 7 and 14then the resulted length should have been 15. And if you place different positions like that, then none of the length comes the same so we can conclude that none of the sides have a right angle. However there is a possibility to have a right angle in a scalene triangle but it is unlikely here or most probably no.

Answer: What's even the question? It's not asking anything to solve

Step-by-step explanation:

Answer:

x² - 4x + 4  

Step-by-step explanation:

(x -2)(x - 2)                

x² - 2x - 2x + 4          Expand using FOIL.

x² - 4x + 4                 Simplify.

9 / 10 = Total Price: 1.90

2 = Total Price: 3.00

3 1 / 10 = Total Price: 4.10

10 = Total Price: 11.00

Answer:

sentences 3,4, and 5 elaborate on the changes but since only 4 is a possible answer it must be sentence 4.

Answer: Akhenaton dedicated that only the sun god Aten would be worshiped in Egypt.

Step-by-step explanation:

Answer:

1-19i

Step-by-step explanation:

Answer:

≈ 98.7

Step-by-step explanation:

What you want to use is Pythagorean Theorem

96 squared + 23 squared = c squared

≈ 98.7

Answer:

They all include the letter A

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

Answer:

62%

Step-by-step explanation:

120-46=74

74/120 don't use

simplify 37/60

to percent; 62%

Answer:

  19

Step-by-step explanation:

The numerical value not being used as a multiplier of a variable is referred to as the constant. In this equation, the constant is 19.

_____

Additional comment

In different contexts, all of the numerical values, 2, 3, 19, can be referred to as both coefficients and constants. We can say that x has a constant coefficient of 2. We can say the coefficients in this equation are 2, 3, 19. Use the terminology defined in your curriculum materials.

Answer:

350 millilitres

Step-by-step explanation:

70/100×500=350

first is 3:56

And is three fivety six

The value of x is [tex]\mathbf{8\dfrac{1}{3}}[/tex]

The objective of this question is to evaluate and determine the value of x. The fraction given in the question consists of algebraic expressions and, we need to solve it through following process;

∴

[tex]\mathbf{\dfrac{x-1}{3-x} + \dfrac{3}{4}=-1 }[/tex]

Collect like terms

[tex]\mathbf{(\dfrac{x-1}{3-x})=-1 -\dfrac{3}{4}}}[/tex]

[tex]\mathbf{(\dfrac{x-1}{3-x})=-(\dfrac{7}{4}})}[/tex]

-4(x - 1) = -7(3 -x)

-4x + 4 = -21 + 7x

4x -7x = -21 - 4

-3x = - 25

[tex]\mathbf{x= \dfrac{25}{3}}[/tex]

[tex]\mathbf{x= 8\dfrac{1}{3}}[/tex]

Learn more about evaluating fractions here:

https://brainly.com/question/12023322

Answer:

See image

Step-by-step explanation:

Simple way: The cost of three items is given. Divide by 3 to find the cost of one item.

Next level: write a proportion by comparing like quantities (compare things that are the same in the same order)

Cost/numbers of items = Cost/number of items

We know all but one piece of information:

4.76/3 = x/1

Solve for x to find the price of one carton.

The given quadrilateral PQRS do not have the properties of a parallelogram, but that of a square. Because we are to prove that its consecutive sides are congruent i.e : QP ≅ QR.

The required proofs are stated below:

                  Statement                                 Reason

1. <SPR ≅ <PRQ                                       Alternate angle property

2. PT ≅ TR                                               Definition of a mid-point

3. <PTS ≅ <QTR ≅ [tex]90^{o}[/tex]                           Perpendicular bisector property

4. ST ≅ TQ                                              Mid-point of a segment

5. PQ ≅ SR                                             Opposite side congruent property

6. ΔPQs ≅ ΔQRS                                    Side-Angle-side (SAS) property

7. <PQR ≅ <SPQ                                    Right angle property

8. PQ ≅ QR                                            Congruent consecutive side property

Therefore given that PQ ≅ QR, then the given quadrilateral is a square.

Visit: https://brainly.com/question/16899603

Answer:

6

Step-by-step explanation:

5x+12=42

subtract 12

5x=30

divide by 5

x=6

Answer:

Step-by-step explanation:

Conclusion:

Therefore, the answer is 'x = 6'.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

[tex]20 {e}^{9} {f}^{11} [/tex]

Show Work:

[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times {f}^{8} \times {e}^{6} \times {e}^{0} [/tex]

[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times {f}^{8} \times {e}^{6} \times 1[/tex]

[tex]5 {e}^{3} {f}^{3} \times 4 {f}^{8} {e}^{6} [/tex]

[tex]20 {e}^{9} {f}^{11} [/tex]

[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times \times {f}^{8} \times {e}^{6} \times {e}^{0} \\ = 5 \times 4 \times {e}^{3 + 6 + 0} \times {f}^{3 + 8} \\ = 20 {e}^{9} {f}^{11} [/tex]

Answer:

[tex]20 {e}^{9} {f}^{11} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.