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4 years ago

Which lists all the integer solutions of the equation |x| = 10? A. –10 only B. 0 and 10 C. 10 only D. –10 and 10

1 answer:

6 0

The absolute value of a number can be thought of as the distance that a number is from zero on a number line. Two numbers have a distance of 10 from zero: -10, and 10. Therefore, the correct answer is D.

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The graph of f(x) = x2 − 6x − 16 is shown. Which of the following describes all solutions for f(x)?

ryzh [129]

Answer:

$(x, {x}^{2} - 6x - 16)$ for all real numbers

Step-by-step explanation:

Assuming, the graph continues indefinitely.

The given function is

$f(x) = {x}^{2} - 6x - 16$

To find all solutions to f(x), we equate f(x) to zero.

This implies that:

${x}^{2} - x - 16 = 0$

We factor to obtain:

$(x + 2)(x - 8) = 0$

This gives us;

$x = - 2 \: or \: x = 8$

Hence the graph meets the x-axis at (-2,0) and (8,0).

These are the solutions of f(x), where the graph meets the x-axis.

But the question demands for all solutions.

Therefore $(x, {x}^{2} - 6x - 16)$ for all real numbers is the correct choice

6 0

3 years ago

One a penny 2 a penny _____________________

Viktor [21]

Answer:

3 a penny 4 a penny 5 a penny 6 a penny

Step-by-step explanation:

coinssssss

8 0

3 years ago

The volume of a spherical cancerous tumor is given by the following equation. V(r) =(4/3)pi r^3 If the radius of a tumor is esti

Dimas [21]

Answer:

The error that might occur is $\±0.123cm^3$

Step-by-step explanation:

Given

$V = \frac{4}{3}\pi r^3$

$Radius,\ r = 1.4cm$

$Error = 0.005cm$

Required

Determine the error that might occur in the volume of the tumor

Given that there's an error in measurement, this question will be solved using the concept of differentiation;

First, we'll rewrite the given parameters in differentiation notations;

$r = 1.4$ --- Radius

$dV = \±0.005$ --- Change in measurement

$V(r) = \frac{4}{3}\pi r^3$ --- Volume as a function of radius

The relationship between the above parameters is as follows;

$\frac{dV}{dr} = V'(r)$

This can be rewritten as

$\frac{dV}{dr} = (V(r))'$

Substitute $\frac{4}{3}\pi r^3$ for $V(r)$

$\frac{dV}{dr} = (\frac{4}{3}\pi r^3)'$

Multiply both sides by dr

$dr * \frac{dV}{dr} = (\frac{4}{3}\pi r^3)' * dr$

$dV = (\frac{4}{3}\pi r^3)' * dr$

$dV = \frac{4}{3}\pi( r^3)' dr$

Differentiate

$dV = \frac{4}{3}\pi( r^3)' dr$

$dV = \frac{4}{3}\pi* 3r^2\ dr$

$dV = 4\pi* r^2\ dr$

Substitute the values of r, dr and take $\pi$ as 3.142

$dV = 4 * 3.142* 1.4^2 * \±0.005$

$dV = \±0.1231664$

$dV = \±0.123$ <em>(Approximated)</em>

Hence, the error that might occur is ±0.123

6 0

4 years ago

Anna paddled 16 km up river to see her uncle, and then returned downstream to her home. The river flows at a rate of 6 km/h, and

PIT_PIT [208]

Anna average speed in km/h is 7.5 km per hour

<h3>Average speed</h3>

Average speed is the ratio of total distance covered to total time taken. It is given by:

Average speed = Total distance / total time

Given the distance upstream is 16 km at a rate of 6 km/h, hence:

6 = 16/t

t = 2.67 hours

The distance downstream is 16 km at a rate of 10 km/h, hence:

10 = 16/t

t = 1.6 hours

Total distance = 16 km + 16 km = 32 km

Total time = 2.67 + 1.6 = 4.27 hours

Average speed = 32 / 4.27 = 7.5 km per hour

Anna average speed in km/h is 7.5 km per hour

Find out mote on average speed at: brainly.com/question/4931057

8 0

3 years ago

Identify the terms in the expression 70 – (4 • 15).

Fudgin [204]

Answer: 4200? or 10 because there is a minus sign

Step-by-step explanation:

if we start with the parentheses you can see 4 x 15 = 60 and your subtracting 70 minus 60 so it would be 10

6 0

3 years ago

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