MATHEMATICS COLLEGE

Multiply.(3x+4)(2x−1)

Express the answer in standard form.

Enter your answer in the box.

Answers

Answer 1
Answer:

(3x+4)(2x−1)

FOIL (first outer inner last)

3x*2x + 3x*(-1) + 4*2x+4*(-1)

6x^2 -3x+8x -4

6x^2 +5x-4
Answer 2
Answer:

(3x + 4)(2x - 1)    distributive

= (3x)(2x) + (3x)(-1) + (4)(2x) + (4)(-1) = 6x² - 3x + 8x - 4

combine like terms

= 6x² + 5x - 4

Answer: (3x + 4)(2x - 1) = 6x² + 5x - 4

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Find the general solution of the following equation: y'(t) = 3y -5

Answers

Answer:

The general solution of the equation is y = (A)/(3)e^(3t) + 5

Step-by-step explanation:

Since the differential equation is given as y'(t) = 3y -5

The differential equation is re-written as

dy/dt = 3y - 5

separating the variables, we have

dy/(3y - 5) = dt

dy/(3y - 5) = dt

integrating both sides, we have

∫dy/(3y - 5) = ∫dt

∫3dy/[3(3y - 5)] = ∫dt

(1/3)∫3dy/(3y - 5) = ∫dt

(1/3)㏑(3y - 5) = t + C

㏑(3y - 5) = 3t + 3C

taking exponents of both sides, we have

exp[㏑(3y - 5)] = exp(3t + 3C)

3y - 5 = e^(3t)e^(3C)        

3y - 5 = Ae^(3t)                A = e^(3C)

3y = Ae^(3t) + 5    

dividing through by 3, we have

y = (A)/(3)e^(3t) + 5

So, the general solution of the equation is y = (A)/(3)e^(3t) + 5

I WILL MARK BRAINLIEST !!!Choose the slope and y-intercept that correspond with the graph.​

Answers

Answer:

slope -1/3 and y-intercept is -1

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

Find the scale.


Model length: 40 cm


Actual length: 60 m

Answers

Answer:

2/3

Step-by-step explanation:

Given

Model length: 40 cm

Actual length: 60 m

Scale for any model is ratio of model length of object and actual length of object

Therefore scale for problem stated = Model length/Actual length

= 40/60 = 4/6 = 2/3

The probability that a boy is born with Down's syndrome is p, 0

Answers

Answer:

The probability that a baby born with Down's syndrome is a boy is (p)/(p+q).

Step-by-step explanation:

The probability of a baby born being a boy (B) or a girl (G) is same, i.e.

P (B) = P (G) = 0.50.

The probability of a boy is born with Down's syndrome is, P (D|B) = p.

The probability of a girl is born with Down's syndrome is, P (D|G) = q.

The law of total probability states that:

P(X)=P(X|Y)P(Y)+P(X|Z)P(Z)

Use this law to compute the probability of a baby born with Down's syndrome as follows:

P(D)=P(D|B)P(B)+P(D|G)P(G)\n=(p*0.50)+(q*0.50)\n=0.50(p+q)

The conditional probability of an event X given that another event Y has already occurred is:

P(X|Y)=(P(Y|X)P(X))/(P(Y))

Compute the probability that a baby born with Down's syndrome is a boy as follows:

P(B|D)=(P(D|B)P(B))/(P(D)) =(p*0.50)/(0.50(p+q)) =(p)/(p+q)

Thus, the probability that a baby born with Down's syndrome is a boy is (p)/(p+q).

Solve the equation
2.5y +6 =4.5y -1

Answers

Answer:

Step-by-step explanation:

4.5y - 1 = 2.5y + 6

2y - 1 = 6

2y = 7

y = 7/2 or 3.5

Find the answer please I don’t kny

Answers

Answer:

7

Step-by-step explanation:

(343) ^ (1/3)

Rewriting 343 as 7^3

( 7^3) ^ (1/3)

7
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