2 years ago

18. What is the solution of |2x+5|<19? -19 < x < 19 -12 -7 -24 < x < 14

Mathematics

1 answer:

elena-14-01-66 [18.8K]2 years ago

4 0

Answer:

thats a tough one

Step-by-step explanation:

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Question part points submissions used consider the following. g(x)={((x**2-a**2)/(x-a) text(if ) x != a,4 text(if ) x =

EastWind [94]

For $x\neq a$ , we have

$\dfrac{x^2-a^2}{x-a}=\dfrac{(x-a)(x+a)}{x-a}=x+a$

So for $g(x)$ to be continuous at $x=a$ , we require that the limit as $x\to a$ is equal to 4.

$\displaystyle\lim_{x\to a}g(x)=\lim_{x\to a}(x+a)=2a=4\implies a=2$

4 0

3 years ago

A distribution has a mean of 16 and a standard deviation of 6. What is the Z score that corresponds with 34?

Brrunno [24]

Answer:

Z = 3

Step-by-step explanation:

In a normal distribution, the Z score that corresponds with a data point x is calculated using the formula;

$Z=\frac{x-mean}{standard deviation}$

For the case given, the z score will be;

$Z=\frac{34-16}{6}=3$

7 0

3 years ago

The radii of two right circular cylinders are in the ratio 3 : 4 and their heights are in the ratio 1 : 2. Calculate the ratio o

bezimeni [28]

Answer:

18.852:50.272

Step-by-step explanation:

Step one:

given

The radii of two right circular cylinders are in the ratio 3 : 4

r1= 3

r2= 4

Their heights are in the ratio 1 : 2

h1= 1

h2= 2

Step two:

The expression for the curve surface area is

CSA= 2πrh

CAS1= 2πr1h1

CAS1= 2*3.142*3*1

CAS1= 18.852

CAS2= 2πr2h2

CAS2= 2*3.142*4*2

CAS1= 50.272

The ratio of their curved surface areas

=18.852:50.272

3 0

3 years ago

HELP ASAP !! - hallie can use the equation p=4l+4w+4h to determine the sum of the lengths of the edges of a rectangular prism. s

34kurt

Answer:

l +w

Step-by-step explanation:

8 0

2 years ago

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The number 260 is separate into two parts of the first part is eight more than three times the second part. what are the two num

bagirrra123 [75]

Answer:

63 & 197

Step-by-step explanation:

$260 = (3x + 8) + x$

$260 = 4x + 8$

$x = 63$

Thus second number is 3*63+8=197

5 0

3 years ago

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