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andre [41]
2 years ago
9

which of the following integers cannot be written as the sum of four consecutive odd integers. (A) 16 (B) 40 (C) 72 (D) 100 (E)

200
Mathematics
2 answers:
Strike441 [17]2 years ago
5 0

Answer:

(D) 100

Step-by-step explanation:

(A) 16 = 1+3+5+7

(B) 40 =7+9+11+13

(C) 72=15+17+19+21

(D) 100

(E) 200=47+49+51+53

Afina-wow [57]2 years ago
4 0

Answer:

D.) 100

Step-by-step explanation:

Write given inters as sum of four consecutive odd integers of all.

A.) 16 = 1 + 3 + 5 + 7

B.) 40 = 7 + 9 + 11 + 13

C.) 72 = 15 + 17 + 19 + 21

D.) 100 = Can't be written as sum of four consecutive odd integers. It's even integer.

E.) 200 = 47 + 49 = 51 + 53

Hence, (D) is the required answer.

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Maksim231197 [3]

Answer: a. Each term in Bill's pattern is twice the value of the corresponding item in Jan's pattern.

Step-by-step explanation:

Jan created a pattern by adding 3 and Bill created a pattern by adding 6.

6 is twice the value of 3 so Bill's terms will be twice the value of Jan's corresponding terms as well.

To prove it:

12 is twice the value of 6

18 is twice the value of 9

24 is twice the value of 12

8 0
2 years ago
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disa [49]

Answer:

125 miles

Step-by-step explanation:

Speed travelled every hour = 50 miles

Time travelled for - 2 1/2 hours = 2.5 hours

Distance = Speed * Time

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Hope this helps!

6 0
2 years ago
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Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions.
lesya692 [45]

Answer:

\displaystyle f(x) = -2(x-2)(x^2+4)

Step-by-step explanation:

We want to find a third degree polynomial with zeros <em>x </em>= 2 and <em>x</em> = 2i and f(-1) = 30.

First, note that by the Complex Root Theorem, since <em>x</em> = 2i is a root, <em>x</em> = -2i must also be a root.

Hence, we will have the three factors:

\displaystyle f(x) = a(x-(2))(x-(2i))(x-(-2i))

Where <em>a</em> is the leading coefficient.

Expand and simplify the second and third factors:

\displaystyle \begin{aligned} (x-(2i))(x-(-2i)) &= (x-2i)(x+2i) \\ \\ &= x(x-2i)+2i(x-2i) \\ \\ &= (x^2 - 2ix) + (2ix - 4i^2) \\ \\ &=x^2 + 4\end{aligned}

Hence:

\displaystyle f(x) = a(x-2)(x^2+4)

Since f(-1) = 30:

\displaystyle \begin{aligned}  f(x) &= a(x-2)(x^2+4) \\ \\ (30) &= a((-1)-2)((-1)^2+4) \\ \\ 30 &= -15a \\ \\ a&= -2\end{aligned}

In conclusion, third degree polynomial function is:

\displaystyle f(x) = -2(x-2)(x^2+4)

5 0
3 years ago
Answer the following questions given the ordered pairs below. {(-5,0). (-3,2), (0,4), (2-7)} a) what is the domain? b) What is t
Scrat [10]

Answer:

domain={-5,-3,0,2}

range={0,2,4,7}

Step-by-step explanation:

yes

7 0
3 years ago
Pablo borrowed $50,000 to start a business. Three years later, he repaid the $50,000 along with an interest of $9,375. What was
kiruha [24]

Answer:

The annual interest rate is 6.25%

Step-by-step explanation:

We have been given that

P = $50,000

I = $9,375

t = 3 years

r = ?

The formula for simple interest is given by

I=Prt\\\\\text{Substituting the known values, we get}\\\\9375=50000(r)\cdot3\\\\r=\frac{9375}{50000\cdot3}\\\\r=0.0625\\\\r=6.25\%

Therefore, the annual interest rate is 6.25%

6 0
2 years ago
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