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frozen [14]
3 years ago
5

Is 3/2 greater than 1? Or Less than

Mathematics
1 answer:
Simora [160]3 years ago
6 0

Answer:

3/2 is greater than 1

Step-by-step explanation:

A little trick to immediately know if a number is more or less than when it involves fractions versus whole numbers is that improper fractions will always be greater than 1.

If you want to confirm this, dividing 3/2 equals 1.5, ergo 1.5 > 1.

In essence, improper fractions will always represent a number greater than one contrasted to proper fractions because if you put it on a perspective (let's say you have 13 pie slices but you only needed 12, that means there is a pie slice that's extra that makes it greater than the original pie slices).

Hope that helps :)

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11. Pete's Pastries sells cupcakes in packs of
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Given the value of cos 20° ≈ 0.9397, enter the sine of a complementary angle. Use an expression relating trigonometric ratios of
NARA [144]

cos(20) = sin(70)

note how 20+70 = 90

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\cos 20^{\circ} = \boxed{\sin 70^{\circ}} \approx \boxed{0.9397}

Note: if the computer doesn't like the answer of "sin 70" then try "sin(70)" and see how that works out. It's also possible that the teacher wants the single numeric value of "70" in the first box rather than the "sine" part to go along with it. Though that would be strange and incorrect since cos(20) = 70 is a false statement.

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3 years ago
What is the y intercept of the quadratic function f(x)=x^2+x-6
saveliy_v [14]

Answer:

(0,\, -6).

Step-by-step explanation:

On a cartesian plane, the y-intercept of a function is the point where the graph of that function intersects with the y\!-axis.

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Construct a system of two equations, with one equation representing y-axis and y = f(x) to represent the graph of this function:

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Substitute the second equation of the system into the first.

\begin{aligned}\begin{cases} x = 0 \\ y = -6\end{cases}\end{aligned}.

Hence, the intersection of the y-axis and the graph of y = f(x) would be (0,\, -6). By definition, this point would be the y\!-intercept of y = f(x)\!.

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2 years ago
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