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skad [1K]
3 years ago
15

PLZ HELP WILL MARK BRAINLIEST!

Mathematics
2 answers:
mel-nik [20]3 years ago
8 0

Answer:

So far we have looked at linear systems of equations in which the lines always intersected in one, unique point. ... When we graph them, they are one line, coincident, meaning they have all points in common. This means that there are an infinite number of solutions to the system.

Step-by-step explanation:

Arada [10]3 years ago
4 0
First, let’s simplify all the given equations.

A: 0.5(60)x + 5
30x + 5

B: 0.65(50)x

32.5x

C: 45x - 0.75(20)x + 5
45x - 15x + 5

30x + 5

D: 1.5(10)x + 15(x + 1) - 5
15x + 15x + 15 - 5

30x + 10

Exactly one solution:
For an equation to have exactly one solution, you must be able to solve for x.
A, C, and D all have 30x in their equation. Meaning, if you equated them, you would either end up with a false statement or a true statement.

Therefore, we have two possible equations that has one solution.

30x + 5 = 32.5x
30x + 10 = 32.5x

No solution:

For an equation to have no solutions, the equation, when simplified fully, must be a false statement. Combining A and C will result in an equation with infinite solutions( will discuss later)

However, both A and D have the same coefficient but different integers.

30x + 5 = 30x + 10

When simplified, you result with 5 = 10, which is false. Any equation that simplifies to a false statement has no solutions.

Infinite solutions: an equation with an infinite set of solutions will simplify to a true statement. We notice that C and A, after simplification, are the same.

30x + 5 = 30x + 5

After simplification, 5 = 5, which is true. You can try plugging in any value for x and it will always be equal.
You might be interested in
What is the surface area of the prism in square feet?
Evgesh-ka [11]

Answer:

The surface area of the rectangular prism is 52 square feet (ft²), if the height is 4 feet, width is 3 feet and depth is 2 feet.

Step-by-step explanation:

          The given is,

                    A  prism of

                     Let, h - height of the prism

                            w - Width of the prism

                            d - Depth of the prism

Step:1

        From given,

                     h = 4 feet

                     w = 3 feet

                     d = 2 feet

Step:2

        Formula to calculate the surface area of the rectangular prism is,

         A=2(wd+hd+hw)             

       Substitute the values of w,d and h

                           = 2 [(3×2) + (4×2) + (4×3)]

                           = 2 (6+8+12)

                           = 2 × 26

                           = 52

                       A = 52 Square feet

Result:

        Thus the surface area of the rectangular prism is 52 square feet (ft²), if the height is 4 feet, width is 3 feet and depth is 2 feet.

6 0
3 years ago
Which best describe all possible classifications for the following set of numbers?
borishaifa [10]

Answer:

| and |V only

Step-by-step explanation:

4, 25, and 32 are Counting numbers, while 0 is a whole number B)

5 0
4 years ago
Norton measured the mass of his luggage. His luggage mass was 21,530 grams. The airline will only allow luggage that has a mass
aliina [53]

Answer:

Yes

Step-by-step explanation:

One Kilogram is 1000 grams.

21,530/1000=21.53

21.53<23

3 0
3 years ago
How do you change a fraction into a decimal
kirill115 [55]
You want to get the <span>denominator (bottom) of the fraction to a number such as 10, 100 or 1,000. Then you are able to change the fraction into a decimal by having the decimal point and the number afterwards, for example: 1/5=2/10, 2/10=.2.</span>
7 0
3 years ago
Read 2 more answers
Solve for x: |2x+6| -4 = 20
Bingel [31]
|2x + 6| - 4 = 20

First, add 4 to both sides. / Your problem should look like: |2x + 6| = 20 + 4
Second, simplify 20 + 4 to 24. / Your problem should look like: |2x + 6| = 24
Third, break down the problem into these 2 equations. / 2x + 6 = 24 and -(2x + 6) = 24
Fourth, solve the 1st equation: 2x + 6 = 24
Subtract 6 from both sides. / Your problem should look like: 2x = 24 - 6
Simplify 24 - 6 to 18. / Your problem should look like: 2x = 18
Divide both sides by 2. / Your problem should look like: x = \frac{18}{2}
Simplify \frac{18}{2} to 9 / Your problem should look like: x = 9
Fifth, solve the 2nd equation: -(2x + 6) = 24
Simplify brackets. / Your problem should look like: -2x - 6 = 24
Add 6 to both sides. / Your problem should look like: -2x = 24 + 6
Simplify 24 + 6 to 30. / Your problem should look like: -2x = 30
Divide both sides by -2. / Your problem should look like: x = \frac{30}{-2}
Simplify \frac{30}{-2} to - \frac{30}{2} / Your problem should look like: x = -\frac{30}{2}
Simplify \frac{30}{2} to 15. / Your problem should look like: x = -15
Sixth, collect all of your solutions. / Your problem should look like: x = -15, 9

Answer: x = -15, 9 (C)


4 0
4 years ago
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