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3 years ago

Simplify the expression. ( 4x^2+10x- 6)/( 2x-1)

Mathematics

2 answers:

svet-max [94.6K]3 years ago

4 0

Answer:

2x+6

Step-by-step explanation:

Talja [164]3 years ago

4 0

Answer:

2x+6

Step-by-step explanation:

You might be interested in

Law of Syllogism.

stiks02 [169]

Answer:

true

Step-by-step explanation:

if it is 10,20,30,40etc...

10÷5=2

20÷5=10

30÷5=15

40÷5=20

3 0

2 years ago

Sammy and David were selling water bottles to raise money for new football uniforms famous or 5 water bottles for every 3 water

ANTONII [103]

In the given question, we come to know that Sammy sold 5 bottles for every 3 water bottles sold by David. In this case we get the ratio as 5:3
Now this ratio indicates that the total number of bottles can be divided into 8 parts for finding out a single part. the total number of water bottles that are sold by Sammy and David together are 160.
Now on dividing this total number of bottles by 8 we get the 20 as one part.
The,
Number of Bottles sold by Sammy = 5 * 20
= 100
Number of bottles sold by David = 3 * 20
= 60
So Sammy sold 100 water bottles and David sold 60 water bottles from the total of 160 water bottles.

8 0

3 years ago

Bill and susan have ages that are consecutive odd integers.The product of their ages 438.Which equation could be used to find bi

zhuklara [117]

Answer:

4 $x^{2}$ + 8 x - 435=0

Step-by-step explanation:

Let x be any natural number

Let the age of Bill= 2 x+ 1 years (Since age is odd integer)

Than, age of a Susan= 2 x + 3 years

Since ages are consecutive odd integers

According to question

(2 x+1)(2 x+ 3)= 438

4 $x^{2}$ + 8 x + 3 = 438

4 $x^{2}$ + 8 x + 3 - 438 =0

4 $x^{2}$ + 8 x - 435=0

This equation can be used to find the ages of both

Hence, the correct answer is 4 $x^{2}$ + 8 x - 435=0

5 0

2 years ago

-4x - 6x = -20 =? -3(2x - 3) = 33 = ? 4x + 3x + 2x = 180 = ?

postnew [5]

Answer:

-4x-6x=-20=

x=2

-3(2x-3)=33=

x=-4

4x+3x+2x=180

x=20

Step-by-step explanation:

-4x-6x=-20

-4+(-6)=-10x

-10x=20 (divide both by 10)

x=-2 (divide by -1 to get positive)

x=2

-3(2x-3)=33

-6x+9=33

-9 . -9

-6x=24 (divide both by -6)

x=-4 (divide by -1 to make positive)

4x+3x+2x=180

(combine like terms)

9x=180 (divide both sides by 9)

x=20

5 0

2 years ago

. At a clothing store, 12 people purchased blue sweaters, 8 purchased green sweaters, 4 purchased gray sweaters, and 7 purchased

DedPeter [7]

Answer:

The probability that they purchased a green or a gray sweater is $\frac{12}{31}$

Step-by-step explanation:

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

$P(A)=\frac{number of favorable cases}{number of possible cases}$

The addition rule is used when you want to know the probability that 2 or more events will occur. The addition rule or addition rule states that if we have an event A and an event B, the probability of event A or event B occurring is calculated as follows:

P(A∪B)= P(A) + P(B) - P(A∩B)

Where:

P (A): probability of event A occurring.

P (B): probability that event B occurs.

P (A⋃B): probability that event A or event B occurs.

P (A⋂B): probability of event A and event B occurring at the same time.

Mutually exclusive events are things that cannot happen at the same time. Then P (A⋂B) = 0. So, P(A∪B)= P(A) + P(B)

In this case, being:

P(A)= the probability that they purchased a green sweater
P(B)= the probability that they purchased a gray sweater
Mutually exclusive events

You know:

8 purchased green sweaters
4 purchased gray sweaters
number of possible cases= 12 + 8 + 4+ 7= 21

So:

$P(A)=\frac{8}{31}$

$P(B)=\frac{4}{31}$

P(A⋂B) = 0

Then:

P(A∪B)= P(A) + P(B)

P(A∪B)= $\frac{8}{31}+ \frac{4}{31}$

P(A∪B)= $\frac{12}{31}$

The probability that they purchased a green or a gray sweater is $\frac{12}{31}$

5 0

2 years ago