Find the inverse of y=x2-10x

Answer: Option C is the correct graph.

Explanation:

An odd function satisfies the condition,

This indicates that for any point (x,y) on the graph, the point (-x,-y) will also be present.

Why Option C is correct:

Option C includes the point (1,2), which implies the point (-1,-2) must be present.

Indeed, (-1,-2) is among the points.

Other pairs like (2,3) with (-2,-3), (3,-1) with (-3,1), and (4,0) with (-4,0) are also found. Hence, the function represented is odd.

Why other options are incorrect:

In Option A, (1,3) is given, so at x = -1, y should be -3, but instead y = 1, so it’s not odd.

Option B has (1,0), so at x = -1, y should be 0, but y = -3, so it is not odd.

Option D features (1,-1), meaning at x = -1 y should be 1; however, y = -1, so it's not odd.

In the context of science, the rate is defined as a <span>metric that is evaluated in relation to another measured metric. To determine the rate for each set of data, we calculate the slope. The calculations proceed as follows:

Megan's growth rate = (12 - 4.5) / (4 - 1) = 2.5 inches weekly
Suzanne's growth rate = (11 - 5) / (4 - 1) = 0.5 inches weekly

Thus, it's clear that Megan’s plant grew more rapidly at a rate of </span><span>2.5 inches each week.</span>

Answer:

Step-by-step explanation:

Hello!

To determine whether boys excel in math classes compared to girls, two random samples were collected:

Sample 1

X₁: score achieved by a boy in calculus

n₁= 15

X[bar]₁= 82.3%

S₁= 5.6%

Sample 2

X₂: score obtained by a girl in calculus

n₂= 12

X[bar]₂= 81.2%

S₂= 6.7%

To estimate a confidence interval for the difference between the average percentages of boys and girls in calculus, it's essential that both variables come from normally distributed populations.

For utilizing a pooled variance t-test, it is also required that the population variances, though unknown, are assumed to be equal.

The confidence interval can then be calculated with:

[(X[bar]_1 - X[bar]₂) ± * ]

[(82.3 - 81.2) ± 1.708 * (6.11 * ]

[-2.94; 5.14]

Using a 90% confidence level, the interval [-2.94; 5.14] is expected to encompass the true difference between the average percentages achieved by boys and girls in calculus.

I hope this is of assistance!

Answer:

Using integer tiles, you would either add five sets of negative two tiles or take away two sets of five positive tiles. On the number line, you would jump 5 spaces to the left

Step-by-step explanation:

I hope this is helpful :)

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