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tester [92]
4 years ago
7

Is the equation (3x^2+2)=9x+4 always, sometimes, or never true? Explain.

Mathematics
2 answers:
zubka84 [21]4 years ago
7 0
It's always true fish's
AVprozaik [17]4 years ago
6 0

always true

Step-by-step explanation:

Assuming that you mean by true that it has solutions

we have

3x^2-9x-2=0

to know if it has real solutions we need to know if

b^2-4ac

is greater, equal or less than zero

if it's greater it's always

if it's equal it's sometimes

if it's less it's never

so

b=-9

a=3

c=-2

(-9)^2-4(3)(-2)\\\\=81+24\\\\=105

so it's always

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Find the x-intercepts (solve for x) for the following AND PLEASE SHOW YOUR WORK! y=−2x^2−9x+5
frosja888 [35]

Answer:

see explanation

Step-by-step explanation:

To find the x- intercepts set y = 0, that is

- 2x² - 9x + 5 = 0

To factorise the quadratic consider the factors of the product of the coefficient of the x² term and the constant term that sum to give the coefficient of the x- term.

product = - 2 × 5 = - 10 and sum = - 9

The factors are - 10 and + 1

Use these factors to split the middle term

- 2x² - 10x + x + 5 = 0 ( factor the first/second and third/fourth terms )

- 2x(x + 5) + 1(x + 5) ( factor out (x + 5) )

(x + 5)(- 2x + 1) = 0

equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

- 2x + 1 = 0 ⇒ x = \frac{1}{2}

x-intercepts are x = - 5 and x = \frac{1}{2}



7 0
4 years ago
Whats the answer pls someone help
elixir [45]

Answer:

.29 (rounded from .285714)

Step-by-step explanation:

The population we are looking at is those who do not live in their hometown.

That total population on the table is 14 persons.

The relative frequency of those not graduating would be the 4 out of 14 people.

4/14 = .285714

This number represents the frequency of non resident people who do not graduate.

5 0
3 years ago
The stock of Company A gained 4% today to $4.16. What was the opening price of the stock in the beginning of the day?
Oksana_A [137]

Answer:

The opening price of the stock in the beginning of the day was $4.

Step-by-step explanation:

To be able to calculate the price of the stock at the beginning of the day, you have to consider that the equation to calculate the final price is equal to the opening price multiply for the result of one plus the increase or decrease percentage, which is:

final price=opening price*(1+0.04)

Now, you know that the final price is $4.16, so you can replace this value in the formula and solve for the opening price:

4.16=opening price*1.04

opening price=4.16/1.04

opening price=4

According to this, the answer is that the opening price of the stock in the beginning of the day was $4.

6 0
3 years ago
What is the value of X?
Vikki [24]

Hello There!

The third missing length would be 68°

All sides of a triangle always add up to 180°

We take the two sides we do know, add them together and then subtract the two sides added together from 180°

3 0
3 years ago
Read 2 more answers
Eight students are competing for 1st, 2nd, 3rd, and 4th violin chair in the school’s orchestra. How many different ways can all
liubo4ka [24]

There are eight students. Each student is competing for 1st, 2nd, 3rd and 4th violin chair. We will use permutation to solve this problem.

When we have 'n' items and we want to find the number of ways 'k' items can be ordered. Then we use the permutation formula which states:

^nP_{k}=\frac{n!}{(n-k)!}

Therefore,

=^8P_{4}=\frac{8!}{(8-4)!}

=\frac{8!}{(4)!}

= \frac{8 \times 7\times 6\times 5\times 4!}{4!}

={8 \times 7\times 6\times 5}

= 1680

Therefore, in 1680 different ways can all four chairs be filled.

3 0
3 years ago
Read 2 more answers
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