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Nimfa-mama [501]
3 years ago
8

What is the y-intercept of the function f(x)=4 - 5x? (Hint: use the commutative property)

Mathematics
1 answer:
Tom [10]3 years ago
7 0

Answer:

Therefore the y-intercept of the function is 4.

Step-by-step explanation:

Intercepts:

The line which intersect on x-axis and y-axis are called intercepts.

y-intercept: The line or function which intersect at y-axis. So when the line intersect at y-axis, X coordinate is zero.

So in the given Function Put x = 0 we will get the y-intercept

f(x)= 4-5x

Put x =0

f(0)= 4-5\times 0

f(0)= 4-0=4

Therefore the y-intercept of the function is 4.

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yKpoI14uk [10]

\boldsymbol{5x+15=30}

Subtract 15 from both sides.

  • \boldsymbol{5x=30-15 }

Subtract 15 from 30 to get 15.

  • \boldsymbol{5x=15 }

Divide both sides by 5.

  • \boldsymbol{x=\dfrac{15}{5} }

Divide 15 by 5 to get 3.

  • \boldsymbol{x=3 \ \ \to \ \ \ Answer}

<h3>Verification</h3>

Let x=3.

  • \bf{5\times3+15=30 \ \ \to \ \ \ Multiply }
  • \bf{15+15=30 \ \ \to \ \ \ Add}
  • \bf{30=30 \to \ The \ equality \ is \ fulfilled.}

Checked ✅

\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}

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2 years ago
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Brianna's teacher asks her which of these three expressions are equivalent to each other. which is equivalent
docker41 [41]

Answer:

Please specify what the three expressions are.

Step-by-step explanation:

From what I understand, you need to set the expressions equal to each other. For instance, if one is 2(x-3) and the other is 2x-6, you could write it as:

2(x-3)=2x-6

Then, by evaluating it, you would get:

2x-6=2x-6 by distribution over subtraction.

2x-6+6=2x-6+6 by the additive property of equality

2x=2x Simplify.

x=x by the reflexive axiom.

Since x will always equal itself, 2(x-3) and 2x-6 are equivalent.

Therefore, if the expressions, once set equal to each other, result in the equation x=x, or any other expression in which one quantity equals itself, the two expressions are equal.

Sorry I could not be of more help, but you did not specify what the expressions were.

4 0
2 years ago
(30/ If the surface of a lake represents a plane, what geometric
beks73 [17]

Answer:

  • <u>A point</u>

Explanation:

The surface of a lake represents a <em>plane</em> because it extends in all directions at the same level. Imagine it as a quite surface, without imperfections, smooth and perfectly plane, it is a two-dimensional figure.

A fishing line that enters into the water, crossing the lake's surface, representes a <em>line, </em>which may be either perpendicular or leaned.

Thus the intersection of those two figures is a point.

A surface and a line that is not included in the plane and is not parallel to it will meet at a single point, which is what is represented by the situation stated.

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Given the side lengths determine if the following triangles exist, if they do classify
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Answer:

no

Step-by-step explanation:

no

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