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puteri [66]
3 years ago
5

Which expression represents the product or x3+2x-1 and x4 - x3+3?

Mathematics
1 answer:
alex41 [277]3 years ago
5 0

Answer:

4th option

Step-by-step explanation:

(x³ + 2x - 1)(x^{4} - x³ + 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x³(x^{4} - x³ + 3) + 2x(x^{4} - x³ + 3) - 1 (x^{4} - x³ + 3) ← distribute parenthesis

= x^{7} - x^{6} + 3x³ + 2x^{5} - 2x^{4} + 6x - x^{4} + x³ - 3 ← collect like terms

= x^{7} - x^{6} + 2x^{5} - 3x^{4} + 4x³ + 6x - 3

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1 gallon of water = how many liters of water.? also 1 liters makes how many glasses of water.
Angelina_Jolie [31]
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1 liter of water makes 4 1/3 glasses of water
6 0
4 years ago
a buret is a tool designed to transfer precise amounts of liquid .A buret initially contains 70.00 millimeters of a solution and
katrin [286]

Let:

Vbu= Volume of the buret

Vbk= Volume of the beaker

A buret initially contains 70.00 millimeters of a solution and a beaker initially contains 20.00 ml of the solution the buret drips solution into the Beaker. each drip contains 0.05 mL of solution, therefore:

x = Number of drips

a = volume of each drip

\begin{gathered} Vbu=70-ax \\ Vbk=20+ax \\ \text{where:} \\ a=0.05 \\ Vbu=70-0.05x \\ Vbk=20+0.05x \end{gathered}

after how many drips will the volume of the solution in the buret and beaker be equal ?​ Vbu = Vbk:

\begin{gathered} Vbu=Vbk \\ 70-0.05x=20+0.05x \\ \text{Solve for x:} \\ 0.1x=70-20 \\ 0.1x=50 \\ x=\frac{50}{0.1} \\ x=500 \end{gathered}

5 0
1 year ago
A square lawn has area 128128 ft squared .ft2. a sprinkler placed at the center of the lawn sprays water in a circular pattern t
fenix001 [56]
For this case what you must do is find the diagonal of the square to find the diameter of the circle and then be able to obtain the radius.
 We have then:
 A = L ^ 2 = 128
 L = root (128)
 L = 11.3137085
 Then, the diagonal of the square knowing its sides is:
 d = root ((L) ^ 2 + (L) ^ 2)
 d = root ((11.3137085) ^ 2 + (11.3137085) ^ 2)
 d = 16 feet
 Finally the radius of the circle is:
 r = d / 2
 r = (16) / 2
 r = 8feet
 answer:
 the radius of the circle is
 r = 8feet
6 0
4 years ago
What value of x makes this equation true?<br> 5 -3 = +3<br> A 3<br> B -9<br> C -1<br> D 27
Anastasy [175]

Answer:

-1 I think

Step-by-step explanation:

5-3=2 and -1+3=2

4 0
3 years ago
Dante is a software salesman. Let represent his total pay (in dollars). Let represent the number of copies of History is Fun he
valentina_108 [34]

Considering the given linear function, we have that:

  • The change for each copy that he sells is of $120.
  • If he sells no copies, he makes $2400.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

His payment for x copies bought is:

y = 120x + 2400.

Hence:

  • The change for each copy that he sells is of $120, as the slope is of $120.
  • If he sells no copies, he makes $2400, which is the y-intercept.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

4 0
1 year ago
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