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Elena L [17]
2 years ago
6

Me pueden ayudar porfa

Mathematics
1 answer:
xz_007 [3.2K]2 years ago
7 0

Answer:

same question bro

Step-by-step explanation:

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Anyone can help me solve this equation using cross multiplying
Natali5045456 [20]

9514 1404 393

Answer:

  x = 1 or 5

Step-by-step explanation:

The notion of "cross-multiplying" is the idea that the numerator on the left is multiplied by the denominator on the right, and the numerator on the right is multiplied by the denominator on the left. This looks like ...

  \displaystyle \frac{x-1}{7}=\frac{2x-2}{3x-1}\ \longrightarrow\ (x-1)(3x-1)=(7)(2x-2)

Then the solution proceeds by eliminating parentheses, and solving the resulting quadratic equation.

  3x^2-4x+1=14x-14\\\\3x^2-18x+15=0\qquad\text{subtract $14x-14$}\\\\x^2-6x+5=0 \qquad\text{divide by 3}\\\\(x-1)(x-5)=0\qquad\text{factor}\\\\x\in\{1,5\}

_____

<em>Comment on "cross multiply"</em>

Like a lot of instructions in Algebra courses, the idea of "cross multiply" describes <em>what the result looks like</em>. It doesn't adequately describe how you get there. The <em>one and only rule</em> in solving Algebra problems is "<em>whatever is done to one side of the equation must also be done to the other side of the equation</em>." If you multiply one side by one thing and the other side by a different thing, you are violating this rule.

What looks like "cross multiply" is really "<em>multiply by the product of the denominators</em> and cancel like terms from numerator and denominator." Here's what that looks like with the intermediate steps added.

  \displaystyle \frac{x-1}{7}=\frac{2x-2}{3x-1}\\\\\frac{x-1}{7}\times7(3x-1)=\frac{2x-2}{3x-1}\times7(3x-1)\\\\(x-1)(3x-1)=(2x-2)(7)\qquad\textit{looks like}\text{ cross multiply}

8 0
2 years ago
A prism with a length of 4 inches, height of 4 inches, and width of 3 inches. How many more 1 in. cubes does the container need
-Dominant- [34]

There are 10 number of 1 cubic inches box required to fill the container completely.

<h3>What is a cuboid?</h3>

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

We have:

A prism with a length of 4 inches, height of 4 inches, and width of 3 inches.

The volume of the prism box = 4×4×3 = 48 cubic inches

Here some data are missing.

We are assuming there are 38 1 cubic inches box already in the big box.

So,

= 48 - 38

= 10

Thus, there are 10 number of 1 cubic inches box required to fill the container completely.

Learn more about the cuboid here:

brainly.com/question/9740924

#SPJ1

3 0
2 years ago
What is 103/143 as a decimal
Ann [662]
It's 0.720. you just divide 103 and 143 and get the first three numbers
5 0
3 years ago
A truck spilled 1000 gallons of asphalt on the 5 freeway. Come up with a way to approximate the cost of the clean up
Genrish500 [490]
I subway yahquissiisn
6 0
2 years ago
What is the solution to the compound inequality in interval notation? 2(2x−1)&gt;6 or <br> x+3≤−6
Vikentia [17]
4x - 2 > 6
4x > 8
x > 2

x + 3 <= -6
x <= -9 

so answer in interval notation is  (-∞, -9] or (2, ∞)
8 0
3 years ago
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