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3 years ago

Which values are solutions to the inequality below? Check all that apply. x2 < 100 A. 6 B. 10 C. 12 D. -5 E. -10 F. -14

1 answer:

5 0

This mean 'x squared is less than 100'.
So A (x = 6) is a solution because 6^2 = 36 which is less than 100.

x = 10 is not a solution as x^2 = 10^2 = 100 (NOt less than).
The answer is A and D. ( note -14^2 = 156 and (-10^2 - = 100)

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Which of the following is a solution of x² + 14x + 112 = 0? If necessary, round to the nearest hundredth.

Readme [11.4K]

To determine the solution of the quadratic equation, use the quadratic formula which states that,
x = ((-b +/- sqrt (b² - 4ac)) / 2a
From the equation, a = 1, b = 14, and c = 112. Substituting these to the quadratic formula,
x = <span>((-14 +/- sqrt (14² - 4(1)(12)) / 2(1) = indeterminate
Thus, the equation does not a real number solution. </span>

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3 years ago

Read 2 more answers

The function that represents bruce’s elevation in feet over time in hours is an exponential function that starts at 1,505 feet.

Strike441 [17]

Answer:

<h3>The function for Bruce’s elevation is $f(x)=1505(6)^x$ and because b=6 that is greater than 0, it is an exponential growth function.</h3>

Step-by-step explanation:

We are given initial Bruce’s elevation = 1,505 feet.

Each successive hour, his average elevation change for the hike becomes 6 times the previous hourly elevation change.

We know, the exponential function $f(x)=a(b)^x$ , where a is the initial value, b is the growth factor and x is the exponent represents time in hours.

Therefore, initial value a=1505, growth factor b for exponential function $f(x)=a(b)^x$ is 6.

Plugging a=1505 and b=6 in $f(x)=a(b)^x$ , we get

$f(x)=1505(6)^x$

Also note, if b>0, it would be an exponential growth function.

<h3>Therefore, the function for Bruce’s elevation is $f(x)=1505(6)^x$ and because b=6 that is greater than 0, it is an exponential growth function.</h3>

8 0

3 years ago

HELP!!

taurus [48]

Lets convert

1mile=5280ft
1h=3600s

$\\ \rm\longmapsto 1mph$

$\\ \rm\longmapsto \dfrac{5280}{3600}ft/s$

$\\ \rm\longmapsto 1.46ft/s$

If rounded

$\\ \rm\longmapsto 1.5ft/s$

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3 years ago

What is the LOWER QUARTILE OR Q1 of the data set: 24, 25, 29, 30, 31, 31. 32, 34, 34?*

MaRussiya [10]

Answer:

n=9

Step-by-step explanation:

Q1=n+1/4

=9+1/4

=10/4

=2.5

8 0

3 years ago

Anna007 [38]

Answer:

1) The correct option is C. (2) The correct option is D. (3) The correct option is B. (4) The correct option is D. (5) The correct option is D.

Step-by-step explanation:

The slope formula is

$m=\frac{y_2-y_1}{x_2-x_1}$

(1)

Two points are (-2,5) and (1,4).

$m=\frac{4-5}{1-(-2)}=\frac{-1}{3}tex]Therefore option C is correct.(2)Use the above mentioned formula for each pair of coordinates.[tex]m=\frac{10-13}{17-12}=\frac{-3}{5}$

$m=\frac{10-15}{13-16}=\frac{-5}{-3}=\frac{5}{3}$

$m=\frac{10-7}{3-0}=\frac{3}{3}=1$

$m=\frac{18-13}{8-11}=\frac{5}{-3}=\frac{-5}{3}$

Therefore option D is correct.

(3)

The pair of points (6, y) and (10, -1). The slope is $\frac{1}{4}$ .

$\frac{1}{4}=\frac{-1-y}{10-6}$

$\frac{1}{4}=\frac{-1-y}{4}$

$1=-1-y$

$y=-2$

Therefore option B is correct.

(4)

For vertical line the x coordinates always remains the same. Therefore when we subtract the same number we get zero in the denominator, therefore the value of slope is undefined for a vertical line.

Therefore option D is correct.

(5)

Two points from the table are (2,110) and (3,165).

$m=\frac{165-110}{3-2}=\frac{55}{1}$

Therefore option D is correct.

5 0

3 years ago

Read 2 more answers