2(x-5)=4x+7 solve for x

Which is a factor of each term of the polynomial? (3d2 – 10d)

nydimaria [60]

Answer:

d(3d-10)

Step-by-step explanation:

You pull out the common factor of d from both terms, and group the remaining terms inside a parenthesis.

8 0

3 years ago

The scale for a map is 20 miles = 1/2 inch. The distance between two towns on the map is 3 3/4 inches. What is the actual distan

zubka84 [21]

Answer:

150 miles

Step-by-step explanation:

If 1/2 of an inch is 20 miles, we can assume that 1/4 of an inch is 10 miles, since half of 1/2 is 1/4 and 1/2 of 20 is 10.

Equipped with this information, we can divide 3 by 1/2 or multiply 3 by the reciprical, 2/1 to get how much we should multiply 20 by.

3*2=6

20*6=120

Then we can multiply 10 by 3 and add that on our answer, since there are still 3/4s left and 1/4=10 miles.

10*3=30

120+30=150

The actual distance is 150 miles.

Hope this helps!

4 0

3 years ago

The height h(n) of a bouncing ball is an exponential function of the number n of bounces.

Digiron [165]

Answer:

The height of a bouncing ball is defined by $h(n) = 6\cdot \left(\frac{4}{6} \right)^{n-1}$ .

Step-by-step explanation:

According to this statement, we need to derive the expression of the height of a bouncing ball, that is, a function of the number of bounces. The exponential expression of the bouncing ball is of the form:

$h = h_{o}\cdot r^{n-1}$ , $n \in \mathbb{N}$ , $0 < r < 1$ (1)

Where:

$h_{o}$ - Height reached by the ball on the first bounce, measured in feet.

$r$ - Decrease rate, no unit.

$n$ - Number of bounces, no unit.

$h$ - Height reached by the ball on the n-th bounce, measured in feet.

The decrease rate is the ratio between heights of two consecutive bounces, that is:

$r = \frac{h_{1}}{h_{o}}$ (2)

Where $h_{1}$ is the height reached by the ball on the second bounce, measured in feet.

If we know that $h_{o} = 6\,ft$ and $h_{1} = 4\,ft$ , then the expression for the height of the bouncing ball is:

$h(n) = 6\cdot \left(\frac{4}{6} \right)^{n-1}$

The height of a bouncing ball is defined by $h(n) = 6\cdot \left(\frac{4}{6} \right)^{n-1}$ .

5 0

3 years ago

Read 2 more answers

Jh is the altitude to the hypotenuse gi what is the measure of

iren2701 [21]

Answer:

We are told of a 90 degree angle. plus we are told that GH and HI are similar.

Hence: Angle I is = 45 degree or Option C

5 0

2 years ago

A laundry basket contains 8 white t-shirts and 6 black t-shirts. What is the probability of randomly picking a black t-shirt fro

MissTica

Answer:

30/182 = 15/91.

Step-by-step explanation:

PROBABILITY: the likelihood of an event.

There are a total of 14 shirts in the basket.

Of the 14, 8 (8/14) of them are white, and 6 (6/14) of them are black.

The probability of picking a black shirt is 6 in 14, or 6/14.

The probability of picking a white shirt is 8 in 14, or 8/14.

WITHOUT REPLACING: This means that you take one without putting it back. (There will be one less).

6/14 × 5/13 = 30/182.

30/182 = 15/91.

8 0

3 years ago