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WARRIOR [948]
3 years ago
6

the first term of a sequence of numbers is 16 the term to term rule of this sequence is 'add 8' which number will be the first i

n the sequence to be in the 5 times table?​
Mathematics
1 answer:
jok3333 [9.3K]3 years ago
7 0

Answer:

The first number in the sequence which will be in the 5 times table is 40

Step-by-step explanation:

In this question, what we are asked to calculate is the number in the sequence that will be a multiple of 5 given the first number in the sequence and the subsequent differences.

The second number will be 16 + 8 = 24

The third number will be 24 + 8 = 32

The fourth number will be 32 + 8 = 40

Since 40 is a multiple of 5, thus, the first number in the sequence which will be in the 5 times table is 40

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Find the constant $a$ such that\[(x^2 - 3x + 4)(2x^2 +ax + 7) = 2x^4 -11x^3 +30x^2 -41x +28.\]
Colt1911 [192]

The value of constant a is -5

Further explanation:

We will use the comparison of co-efficient method for finding the value of a

So,

Given

(x^2 - 3x + 4)(2x^2 +ax + 7)\\= x^2((2x^2 +ax + 7)-3x((2x^2 +ax + 7)+4(2x^2 +ax + 7)\\= 2x^4+ax^3+7x^2-6x^3-3ax^2-21x+8x^2+4ax+28\\Combining\ alike\ terms\\=2x^4+ax^3-6x^3+7x^2-3ax^2+8x^2-21x+4ax+28\\= 2x^4 +(a-6)x^3+(15-3a)x^2-(21-4a)x+28\\

As it is given that

(x^2 - 3x + 4)(2x^2 +ax + 7) = 2x^4 -11x^3 +30x^2 -41x +28

In this case, co-efficient of variables will be equal, so we can compare the coefficients of x^3, x^2 or x

Comparing coefficient of x^3

a-6 = -11\\a = -11+6\\a = -5

So the value of constant a is -5

Keywords: Polynomials, factorization

Learn more about factorization at:

  • brainly.com/question/1414350
  • brainly.com/question/1430645

#LearnwithBrainly

4 0
3 years ago
Help! Can someone please explain!
tankabanditka [31]

Answer:

( 3 x − 2 ) ( x − 2 ) = 0

Set  3 x − 2  equal to  0  and solve for  x .

x = 2 3

Set  x − 2  equal to  0  and solve for  x .

x = 2

The solution is the result of  3 x − 2 = 0  and  x − 2 = 0. x = 2 3 , 2

The result can be shown in multiple forms.

Exact Form: x = 2 3 , 2

Decimal Form: x = 0. ¯ 6, 2

Step-by-step explanation: There you go hope it helps

5 0
4 years ago
Does a graph represents <br> a function why or why not
vekshin1
It does if the x values don't repeat it they repeat it doesn't
6 0
3 years ago
Divide x^3 -3x^2 by x-2 . Step 2 - Fill in the missing number:
PIT_PIT [208]

Answer:

12

x

2

+

2

x

6

x

1

3

⋅

1

4

6

x

3

+

4

x

2

−

x

x

2

−

4

Step-by-step explanation:

4 0
3 years ago
An article bought for $125 was sold for $175.What percentage profit was? A.28.6 percent B. 40 percent C. 50 percent D. 71.4 perc
Y_Kistochka [10]

Answer:

B. 40 percent

Step-by-step explanation:

First take the new price minus the original price

175-125

50

Divide by the original price

50/125

.4

Multiply by 100%

.4 *100% = 40%

8 0
3 years ago
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