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ddd [48]
3 years ago
7

(x+d)(x+e)=x^2+fx+33

Mathematics
1 answer:
victus00 [196]3 years ago
4 0

Answer:

f=14 or f=34

Step-by-step explanation:

(x+d)(x+e) =x^2 +fx+33, d, e, f>0

x^2 +xe+dx+de=x^2+fx+33

x^2+(e+d)x+de=x^2 +fx+33 that

e+d=f and d*e=33, d=33/e

e+33/e=f

33=1*33 or 33=3*11

If e=1,d=33 then f=34

If e=3*,d=11, then f=14

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The 6th term of an Arithmetic Progression is 17 and the 13th term is 38. Determine the 19th term ​
Sonja [21]

Answer:

56

Step-by-step explanation:

The n th term of an AP is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₆ = 17 and a₁₃ = 38, then

a₁ + 5d = 17 → (1)

a₁ + 12d = 38 → (2)

Subtract (1) from (2) term by term to eliminate a₁

7d = 21 ( divide both sides by 7 )

d = 3

Substitute d = 3 into (1) and evaluate for a₁

a₁ + 5(3) = 17

a₁ + 15 = 17 ( subtract 15 from both sides )

a₁ = 2

Thus

a_{19} = 2 + (18 × 3) = 2 + 54 = 56

4 0
4 years ago
Find the x and y intercept of the equation -2x+4y=12
tresset_1 [31]

Answer:

x and y intercept

x —> (–6,0)

y —> (0, 3)

7 0
3 years ago
What is p supposed to be in this equation?
Tatiana [17]
P is just a variable in this equation
3 0
3 years ago
Read 2 more answers
Need Help ASAP only correct answers. Working on it now. Took a picture. question: Figure ABCDE is the result of a 180° rotation
Angelina_Jolie [31]

Answer:∠M in the pre-image corresponds to ∠B in the image.

Step-by-step explanation:

When  we look at the figures , we can see that the three vertices B , C , D are one side as vertices to M , N  ,O .

Clearly , vertex C corresponds to vertex N ( presents in the middle )

Also, point B is at the right from point C .In  Figure L M N O P , vertex M is at the right from vertex N .Thus , vertex M corresponds the vertex B.

It means ∠M in the pre-image corresponds to ∠B in the image.

brain list this answer thankyou:)

7 0
3 years ago
What value is a permutation of n things taken r at a time divided by to get the combination of n things taken r at a time?
Lera25 [3.4K]

Answer:

A. r!

Step-by-step explanation:

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

Permutation of n things taken r at a time

P_{(n,r)} = \frac{n!}{(n-r)!}

Combination of n things taken r at a time:

C_{n,r} = \frac{n!}{r!(n-r)!}

Division:

\frac{P_{(n,r)}}{C_{n,r}} = \frac{\frac{n!}{(n-r)!}}{\frac{n!}{r!(n-r)!}} = \frac{n!}{(n-r)!} \times \frac{r!(n-r)!}{n!} = r!

So the correct answer is:

A. r!

5 0
3 years ago
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