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Lilit [14]
2 years ago
9

Y= 3x + 1

Mathematics
2 answers:
Nikolay [14]2 years ago
7 0
Answer: B. -4

When 2 equations equal the same thing (in this case y) we can just re-write the equations this way:

3x + 1 = 2x - 3

Now, just start picking off little numbers that we don’t really need to get the x alone. I don’t like working with negative numbers, so i’ll get rid of the -3 by adding 3 to it. Since anything you do on one side of an equal sign you have to do on the other, i’ll add 3 to 1, which looks like this:

3x + 1 = 2x - 3
+3 +3
3x + 4 = 2x

Now I need to get both x’s on the same side, so i’ll subtract 3x from 3x, then subtract 3x from 2x:

3x + 4 = 2x
-3x -3x
4= -x

Variables should never be negative, and they look complicated too, so in order to make x positive again i’ll swap it’s side with 4. While doing this, remember that swapping sides means you swap 4 to a negative too:

4 = -x
x= -4

And there’s the answer, X equals -4. If you wanted to solve for y, just plug in the x value (which is -4 in this case) to any one of the equations:

y= 3x + 1
y= 3(4) + 1
y= 12+ 1
y= 13

Hope this helped!
SSSSS [86.1K]2 years ago
4 0
It might be C or D im also doing substitution so i don’t really know
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Jeremy and Brenda drove their cars in
harkovskaia [24]

Answer: Jeremy drove 84 miles.

Step-by-step explanation:

Let x represent the number of miles that Brenda drove.

If Jeremy drove twice

as far as Brenda, it means that the distance covered by Jeremy would be 2x miles

When they stopped after some time, they were already

126 miles apart. This means that the total distance covered by both of them is 126 miles. Therefore,

x + 2x = 126

3x = 126

x = 126/3

x = 42 miles

The number of miles that Jeremy drove is

42 × 2 = 84 miles

4 0
3 years ago
Which of the following describes the number 0.5? A. irrational, terminating decimal
Oksanka [162]

Answer:

D

Step-by-step explanation:

0.5 can be written as a fraction and 0.5 doesn't repeat

6 0
3 years ago
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I don't get it and I have tried it multiple ways
jasenka [17]

9514 1404 393

Answer:

  9350 m²

Step-by-step explanation:

There are several ways you can go at this. Here are 3 of them:

  1. along an extension of the lower right vertical edge, divide the figure into a rectangle and a right triangle.
  2. between the upper left corner and the inside corner at lower right draw a diagonal line to divide the figure into a trapezoid and a triangle.
  3. subtract the area of the trapezoid at the right from the area of the bounding rectangle

__

The relevant formulas for area are ...

  rectangle: A = LW . . . . . . . . . . . length times width

  trapezoid: A = (1/2)(b1 +b2)h . . . b1, b2 are the bases, h is the height

  triangle: A = (1/2)bh . . . . . . . . . . . b is the base, h is the height

__

Here's what those computations look like:

1. rectangle: 60m wide by 80 m high = 4800 m².

  right triangle: base 190-60 = 130 m; height = 80-10 = 70 m.

     area = (1/2)(130 m)(70 m) = 4550 m²

  figure area = 4800 m² +4550 m² = 9350 m² . . . . area of figure

__

2. The trapezoid has bases of 80 m and 10 m, and a height of 60 m. Its area is ...

  A = (1/2)(80 m +10 m)(60 m) = 2700 m²

The triangle has a base of 190 m and a height of 80-10 = 70 m. Its area is ...

  A = (1/2)(190 m)(70 m) = 6650 m²

Then the total area is 2700 m² +6650 m² = 9350 m² . . . total area

__

3. The bounding rectangle is 190 m by 80 m, so its area is ...

  A = LW = (190 m)(80 m) = 15200 m²

The (negative) trapezoid at right has bases of 10 m and 80 m, and a width of 190-60 = 130 m. Its area is ...

  A = (1/2)(10 m +80 m)(130 m) = 5850 m²

The area of the figure is the difference between these:

  figure area = 15200 m² -5850 m² = 9350 m² . . . figure area

7 0
3 years ago
Solve for x. 5+(x-2)= -8
Y_Kistochka [10]

Answer:

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Step-by-step explanation:

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Which expressions are equivalent to_____? Check all that apply.
Alinara [238K]

Option 1. (-2)(5x) + (-2)(-\frac{3}{4}) and option 4.-10x + \frac{3}{2} are equivalent to -2(5x-\frac{3}{4} ).

Step-by-step explanation:

Step 1:

The given expression is expanded as follows.

The -2 is multiplied with the 5x and then the -2 is multiplied with the -\frac{3}{4}.

So the expression becomes as follows;

-2(5x-\frac{3}{4} ) = (-2)(5x) + (-2)(-\frac{3}{4}).

This is the first option given so the first expression is equivalent.

Step 2:

-2(5x-\frac{3}{4} ) = (-2)(5x) + (-2)(-\frac{3}{4}) = -10x + \frac{6}{4} = -10x + \frac{3}{2} .

Of the other four options, only the fourth expression has the fraction \frac{3}{2} so the fourth expression is also equivalent.

Expressions 1 and 4 are equivalent to the given expression.

5 0
3 years ago
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