Solve for x. 3(3x - 1) + 2(3 - x) = 0

Answers

Answer 1

Answer: The equation given in the question is
3(3x - 1) + 2(3 - x) = 0
9x - 3 + 6 - 3x = 0
6x + 3 = 0
6x = - 3
x = - (3/6)
= - (1/2)
So the value of x as has been determined above is -1/2. I hope the procedure is clear enough for you to understand.You canalways use this method for solving problems that are similar in type withoutrequiring any help from outside.

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Solve for p3(p + q) = p
A. q = -2/3p
B. q = -3/2p
C. p = -2/3q
D. p = -3/2q

Answers

it’s A! hope this helps you out!

In △PQR, if the measures of ∠Q and ∠R are 100° and 45°respectively, find the measure of ∠P

Answers

Answer:

∠ P = 35°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , then

∠ P + ∠ Q ∠ R = 180° ( substitute given values )

∠ P + 100° + 45° = 180° , that is

∠ P + 145° = 180° ( subtract 145° from both sides )

∠ P = 180° - 145° = 35°

A certain committee consists of 17 people. From the committee, a president, a vice-president, and a treasurer are to be chosen. In how many ways can these 3 offices be filled? Assume that a committee member can hold at most one of these offices.

Answers

There are 4080 ways in which these 3 offices be filled.

Step-by-step explanation:

Here, the total number of candidates present in the committee = 17

The posts for which people are to be elected are:

President, Vice -President and Treasurer = 3 posts

Now, selecting a person for the post of president has total 17 ways.

⇒ The number of ways a president can be chosen = 17 ways

As, one person cannot hold 2 positions.

So, now the total candidates = 17 - 1 = 16 people

⇒Selecting a person for the post of Vice -President has total 16 ways.

⇒ The number of ways a vice president can be chosen = 16 ways

Similarly, the number of ways a Treasurer can be chosen = 15 ways

Combining the three ways, we get:

the number of ways President, Vice -President and Treasurer can be chosen = 17 x 16 x 15 = 4080 ways

Hence, there are 4080 ways in which these 3 offices be filled.

Walter has 5 baseball caps. Three of the caps are black. One of the caps is blue and one is red. What fraction of the caps is blue?

Answers

1/5 of the caps are blue

Find two consecutive numbers whose sum is 117

Answers

So,

x + y = 117
y = x + 1
x + x + 1 = 117

Collect Like Terms
2x + 1 = 117

Subtract 1 from both sides
2x = 116

Divide both sides by 2
x = 58

y = x + 1

y = 58 + 1

y = 59

The 2 consecutive integers are 58 and 59.

$n+n+1=117\n2n=116\nn=58\nn+1=59$

These numbers are 58 and 59.

Let g(x) = 2x and h(x) = x2 + 4. Evaluate (g ∘ h)(3). A. 16

B. 40

C. 26

D. 36

Answers

The value of (goh)(3) is 26.

What is composition of function?

The composition of a function is an operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)).

given:

g(x) = 2x , h(x) = x²+4

Now,

(goh)(3)

=g(h(3))

=g(9+4)

=g(13)

=2*13

=26

Learn more about this concept here:

brainly.com/question/13705420

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