All categories

3 years ago

Use the distributive property to simplify the expression: -4(4x + 3) + (7x - 2)

Mathematics

1 answer:

Elodia [21]3 years ago

7 0

-4(4x+3) + (7x -2) = (-16x + -12) + (7x + 2) = -16 + -12 + 7x + 2 = -9x -10
The answer is -9x -10

You might be interested in

Indicate whether classical, empirical, or subjectiveprobability should be used to determine each of the following:

Snezhnost [94]

Answer:

Indicate whether classical, empirical, or subjective probability should be used to determine each of the following probabilities.

Step-by-step explanation:

a) The probability that a certain model will win the beauty contest

is an example of which type of probability?

B - Classical

b) "The probability that next card in the deck will be black" is an example of which type of probability?

B- Classical

c) "The probability that there will be at least 16 tropical storms this summer" is an example of which type of probability?

B-Subjective

d) "There is a 0.30 probability of randomly selecting a student who has a part- time job " is an example of which type of probability?

A- Subjective

5 0

3 years ago

The lengths of two sides of a triangle are 10 and 24, and the third side is x. How many whole number values are possible for x.

solong [7]

Answer:

$20$ .

Step-by-step explanation:

In any triangle, the sum of the lengths of any two sides should be strictly greater than the length of the third side. For example, if the length of the three sides are $a$ , $b$ , and $c$ :

$a + b > c$ ,

$a + c > b$ , and

$b + c > a$ .

In this question, the length of the sides are $10$ , $24$ , and $x$ . The length of these sides should satisfty the following inequalities:

$10 + 24 > x$ ,

$10 + x > 24$ , and

$24 + x > 10$ .

Since $x > 0$ , the inequality $24 + x > 10$ is guarenteed to be satisfied.

Simplify $10 + 24 > x$ to obtain the inequality $x < 35$ .

Similarly, simplify $10 + x > 24$ to obtain the inequality $x > 14$ .

Since $x$ needs to be a whole number, the greatest $x$ that satisfies $x < 35$ would be $34$ . Similarly, the least $x\!$ that satisfies $x > 14$ would be $15$ . Thus, $x\!\!$ could be any whole number between $15\!$ and $34\!$ (inclusive.)

There are a total of $34 - 15 + 1 = 20$ distinct whole numbers between $15$ and $34$ (inclusive.) Thus, the number of possible whole number values for $x$ would be $20$ .