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PolarNik [594]
3 years ago
5

А. y = 7 slope description

Mathematics
1 answer:
I am Lyosha [343]3 years ago
7 0

Any y = ? equation is a horizontal line that passes through the number given.

y = 7 would be a line passing through 7 on the y - axis and staying flat and never rising.

Hope this helps! ;)

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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
3 years ago
What is the y-intercept, axis of symmetry and vertex of the following function.
tamaranim1 [39]
To find the y intercept you must substitute 0 into x.

F(x) = (-3x0) - (6x0) - 5
F(x) = -5

To find the axis of symmetry and vertex we use the formula -b/2a to find the x coordinate

x = 6/(-3x2)
x = 6/-6
x = -1

Now we need to find the y coordinate so we sub -1 into x.

F(x) = (-3x-1) - (6x-1) - 5
F(x) = 3 + 6 - 5
F(x) = 4

The axis of symmetry and vertex are (-1,4) and the y coordinate is -5. Hope this helps.
5 0
3 years ago
Read 2 more answers
Feather blew out of a bird nest 10 feet in the air. It drifted to the ground at a constant rate of 2 feet per second.
PIT_PIT [208]

The equation that  shows the relationship between the elevation of the feather, y, and the number of Seconds it has been falling is y = -2x + 10

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

Let x represent the time in seconds for the bird feather to reach 10 feet.

Hence:

y = -2x + 10

The equation that  shows the relationship between the elevation of the feather, y, and the number of Seconds it has been falling is y = -2x + 10

Find out more on equation at: brainly.com/question/2972832

#SPJ1

8 0
1 year ago
UNSER
Neko [114]

Answer:

2100

Step-by-step explanation:

30%×3000=900.

3000-900=2100

6 0
3 years ago
I need major help on these set theory questions!!!
Savatey [412]

Answer:

4. option D

5. option C

6. option A

7. option A

4 0
3 years ago
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