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kiruha [24]
3 years ago
10

Use the drop-down menus to complete each question so the statement about its solution is true.​

Mathematics
1 answer:
spin [16.1K]3 years ago
4 0

Step-by-step explanation:

• no solution:

3x+9+4x+x = 8x + 9

• one solution:

3x+9+4x+x = 7x + 11

• infinitely many solutions:

3x+9+4x+x = 8x + 11

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Evaluate for x = 3 and y = 4: x^-2y^2/x^0y^3 1/36 4/9 1024/9
GrogVix [38]

Answer:

\frac{1}{36}

Step-by-step explanation:

Evaluating the numerator and denominator before evaluating

Using the rule of exponents

a^{-n} ⇔ \frac{1}{a^{n} }, a^{0} = 1

Thus

x^{-2}y² ← substitute values into expression

= 3^{-2} × 4² = \frac{1}{9} × 16 = \frac{16}{9}

and denominator

x^{0}y^{3} = 1 × 4³ = 1 × 64 = 64

Now dividing

\frac{16}{9} ÷ 64

= \frac{16}{9} × \frac{1}{64} ( cancel 16 and 64 )

= \frac{1}{9(4)} = \frac{1}{36}

4 0
3 years ago
Rewrite 8x - 7 as the product of two factors
kykrilka [37]

Answer:

factors are any group of number or expressions which, when multiplied, produce another number or expression.

Basic example:  4 can be broken into 2 factors---2 and 2.  2 times 2 = 4

Example using an unknown:

2X + 6 = 2 * (X + 3)

In the given problem, there is no whole-number common factor.  A normal convention would be to factor based on the unknown term----thus 8X is factored into 8 and X.

So:  8X + 7 = 8 ( X + 7/8 )

The following would also be correct:

8X + 7 = 4 ( 2X + 7/4 )

Step-by-step explanation:

8 0
3 years ago
Which number is the additive inverse of -5?
elena-14-01-66 [18.8K]

Answer:

5

Step-by-step explanation:

-5 + 5 = 0

4 0
3 years ago
Read 2 more answers
Write a real world problem that could be solved by using the equation <img src="https://tex.z-dn.net/?f=3x-25%3D125" id="TexForm
forsale [732]

Answer:

x=50

See below for word problem.

Step-by-step explanation:

While shopping, you spend $125 before tax. You buy 3 dresses at the same price each and receive a $25 discount. How much is the price of each dress?

3x-25=125

3x=125+25

3x=150

x=50

8 0
3 years ago
a manufacturer is designing a flashlight for the flashlight to admit a focused beam the bull needs to be on the central axis of
Helen [10]

Answer:

y= 1/12(x-0)^2+0

this answer works as an upward parabola

Step-by-step explanation:

  • The formula for a veritcal parabola is y=1/4p(x-h)^2+k
  • (h,k)= coordinates of the vertex of the parabola
  • p= absolute value of the distance from the vertex to the focus/directrix
  • In this problem, it is given that the vertex is at the origin (0,0) and the focus (the bulb), is 3 centimeters away from the vertex.
  • Now, you know the values of the variables. Fill in the values
  • FROM THE FORMULA: 1/4p turns into 1/12 since p is 3.
  • (x-h)^2+k turns into (x-0)^2+0, since h and k where the values of the vertex which was 0,0
  • once all the variables are given values (except x and y) you have made your equation!
  • The answer is y=1/12(x-0)^2+0

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8 0
3 years ago
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