All categories

3 years ago

Select values of a and b for which x=−5 is a solution for the equation shown below.

Mathematics

1 answer:

mixas84 [53]3 years ago

3 0

Answer:

ax+16=b−3x

Step-by-step explanation:

You might be interested in

Three men and seven women are waiting to be interviewed for jobs. If they are all selected in random order, find the probabilit

sammy [17]

Answer:

1/50

Step-by-step explanation:

Given that:

Three men: 3
Seven women = 7
Total number of people: 7+3 =10

We need to find the probability that no man will be interviewed until at least two women have been interviewed. So there are two possible probabilities are:

1. One man and two women => P(1 man and 2 women) = 3/10*2/9 = 1/15

2. Three women => P(3 women) = 3/10

Hence, the probability in this situation is: 1/15*3/10 = 1/50

8 0

3 years ago

What is the total number of rabbits in the neighborhood in year 2

lawyer [7]

Answer:

Step-by-step explanation:

5 0

3 years ago

A street light is at the top of a 25 ft pole. A 4 ft tall girl walks along a straight path away from the pole with a speed of 6

Burka [1]

Answer:

Tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

Step-by-step explanation:

Given : In the figure attached, Length of girl EC = 4 ft

Length of street light AB = 25 ft

Girl is moving away from the light with a speed = 6 ft per sec.

To Find : Rate ( $\frac{dw}{dt}$ ) of the tip (D) of the girl's shadow (BD) moving away from th

light.

Solution : Let the distance of the girl from the street light is = x feet

Length of the shadow CD is = y feet

Therefore, $\frac{dx}{dt}=6$ feet per sec. [Given]

In the figure attached, ΔAFE and ΔADE are similar.

By the property of similar triangles,

$\frac{x}{21}=\frac{x+y}{25}$

25x = 21(x + y)

25x = 21x + 21y

25x - 21x = 21y

4x = 21y

y = $\frac{4x}{21}$

Now we take the derivative on both the sides,

$\frac{dy}{dt}=\frac{4}{21}\times \frac{dx}{dt}$

= $\frac{4}{21}\times 6$

= $\frac{8}{7}$

≈ 1.14 ft per sec.

Since w = x + y

Therefore, $\frac{dw}{dt}= \frac{dx}{dt}+\frac{dy}{dt}$

$\frac{dw}{dt}=6+1.14$

= 7.14 ft per sec.

Therefore, tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

3 0

3 years ago

(−8k+1)(−8k+1) standard form

kifflom [539]

Answer:

64k^2 - 16k +1

Step-by-step explanation:

We can rewrite this as

(-8k+1) ^2

We know that (a+b)^2 = a^2 +2ab +b^2

Let a = -8k and b = 1

(-8k+1) = (-8k)^2 +2*(-8k)(1) + 1^2

=64k^2 - 16k +1

3 0

3 years ago

Read 2 more answers

SHORT ANSWER Graph and label point W(4, –1) <br> on the coordinate plane.

Lunna [17]

Answer:

Step-by-step explanation:

a coordinate point is (x, y) so for point W (4, -1), 4 is the x-coordinate and -1 is the y-coordinate.

Start at the origin (O). Go 4 units to the right (along the x-axis in a positive direction) and then 1 unit down (in the y plane in a negative direction).

4 0

2 years ago