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3 years ago

What is the intercept form of the equation y=6x^2+12x-144

Mathematics

1 answer:

Stells [14]3 years ago

4 0

Answer:

y = 6(x + 6)(x - 4).

Step-by-step explanation:

y = 6x^2 + 12x - 144

y = 6(x^2 + 2x - 24) Factoring the trinomial in the parentheses ,we get:

y = 6(x + 6)(x - 4)

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What’s -6-25 divided by 5+5 ?

Inessa [10]

Answer:

-6

Step-by-step explanation:

6 0

4 years ago

In a certain town in the united states, 40% of the population are democrats and 60% are republicans. The municipal government ha

mixer [17]

Answer:

(a) 0.48, (b) 0.625, (c) 0.1923

Step-by-step explanation:

First define

Probability a person is a democrat: P(D) = 0.4

Probability a person is a republican: P(R) = 0.6

Probability a person support the measure given that the person is a democrat: P(SM | D) = 0.75

Probability a person support the measure given that the person is a republican: P(SM | R) = 0.3

Now for the Theorem of total probabilities we have

(a) P(SM) = P(SM | D)P(D)+P(SM | R)P(R) = (0.75)(0.4)+(0.3)(0.6) = 0.48

and for the Bayes' Formula we have

(b) P(D | SM) = P(SM | D)P(D)/[P(SM | D)P(D)+P(SM | R)P(R)] = (0.75)(0.4)/0.48 = 0.625

Now let SMc be the complement of support the measure, i.e.,

P(SMc | D) = 0.25 : Probability a person does not support the measure given that the person is a democrat

P(SMc | R) = 0.7: Probability a person does not support the measure given that the person is a republican,

and also for the Bayes' Formula we have

(c) P(D | SMc) = P(SMc | D)P(D)/[P(SMc | D)P(D)+P(SMc | R)P(R)] = (0.25)(0.4)/[(0.25)(0.4)+(0.7)(0.6)] = 0.1/(0.52)=0.1923

4 0

3 years ago

40.00 jeans 20% discount

Rudik [331]

If you are asking for the price, then the jeans would cost $32

5 0

3 years ago

The admission fee is $1.50 for children and $4.00 for adults. If 2700 people enter and $7800 is collected how many children and

mash [69]

Number of children attended is 1200 and number of adults attended is 1500

<h3><u>Solution:</u></h3>

Given that,

Admission fee for each children = $ 1.50

Admission fee for each adult = $ 4.00

Let "c" be the number of children attended

Let "a" be the number of adults attended

Given that 2700 people enter and $7800 is collected

Number of children attended + number of adults attended = 2700

c + a = 2700 -------- eqn 1

Also given that $7800 is collected

Number of children attended x Admission fee for each children + number of adults attended x Admission fee for each adult = 7800

$c \times 1.50 + a \times 4 = 7800$

1.5c + 4a = 7800 -------- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "a" and "c"

From eqn1,

a = 2700 - c ----- eqn 3

Substitute eqn 3 in eqn 2

1.5c + 4(2700 - c) = 7800

1.5c + 10800 - 4c = 7800

-2.5c = -3000

c = 1200

Therefore from eqn 3,

a = 2700 - 1200

a = 1500

Therefore number of children attended = c = 1200

number of adults attended = a = 1500

3 0

3 years ago

Which choice is equivalent to the expression below?<br><br> 6root7 minus 5xroot7 minus xroot7

butalik [34]

Answer:

Step-by-step explanation:

6root = 6^2= 6 x 6

= 36

6root7 = 36 x 7 = 252

Also,

5xroot7 = 5 x 7^7

= 5 x 49

= 245

Therefore,

6root7 - 5xroot7 - Xroot7 = 0

252 - 245 - 7x^2

= 7- 7x^2

6 0

3 years ago