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andriy [413]
1 year ago
10

Hellllp meeeee aaaaa

Mathematics
1 answer:
drek231 [11]1 year ago
3 0

Answer:

A

Step-by-step explanation:

y = (-2/5)x + 1

By inspection of the equation, the slope of the line is -2/5 and the y-intercept is 1.

Therefore, we can immediately discount option B and D, as their y-intercepts are NOT 1.

Find the point where the line crosses the x-axis by setting the equation to 0 and solving for x:

0 = (-2/5)x + 1

⇒ -1 = (-2/5)x

⇒ -5 = -2x

⇒ x = 5/2

Therefore, the line of the function intersects the x-axis at x = 5/2 = 2.5

From inspection of the graphs, the line in option A intersects the x-axis at 2.5.  Therefore, this is the correct graph.

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3-2 is an expression.

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Determine whether set of values represents an inverse variation. If yes, identify the constant of variation and write an inverse
Natasha_Volkova [10]

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If the table represents an inverse variation, it means that y is inversely proportional to x, written as

\begin{gathered} y\propto\frac{1}{x} \\ \propto is\text{ a sign of proportionality } \end{gathered}

Removing the proportionality sign and introducing a constant k, we have

\begin{gathered} y=k\times\frac{1}{x} \\ y=\frac{k}{x} \end{gathered}

In the first column, we have x = -4 and y = 3.5. Substituting these values for x and y, we have

\begin{gathered} y=\frac{k}{x} \\ 3.5=\frac{k}{-4} \\ k=3.5\times-4 \\ k=-14 \end{gathered}

So, if it's an inverse variation, the relationship would be

y=\frac{-14}{x}

In the second column, x = -2 and y = 7.

Now lets substitute the value of x for -2. If we get y to be 7, then the relationship is an inverse variation

We have

\begin{gathered} y=\frac{-14}{x} \\ y=\frac{-14}{-2} \\ y=7 \end{gathered}

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1 year ago
Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real
garik1379 [7]

The complete question is

"Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real number solutions? (The related quadratic function will have two x-intercepts.) Check all that apply.

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The formula for finding the discriminant is

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The solution contains the term \sqrt{b^2 - 4ac} which will be:

Real and distinct if the discriminant is positive

Real and equal if the discriminant is 0

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This equation will have two real number solutions.

Learn more on discriminant here:

brainly.com/question/1537997

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5 0
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