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2 years ago

If f(n)= n²-n, then f(-4) is O-20 12 -12 20

Mathematics

1 answer:

vagabundo [1.1K]2 years ago

4 0

Answer: 20

Step-by-step explanation:

f(-4) = -4² - (-4)

f(-4) = 16 + 4

f(-4) = 20

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What is the angle of B

Charra [1.4K]

Y-9 + y/2 = 180
Add nine to each side
y+y/2=189
Multiply each side by two
2y+y=378
Add the y's together
3y=378
Divide it all by three
y=126

so, Angle B is 126 degrees

I hope that helps!

5 0

3 years ago

The sum of five more than a certain number and 10 more than twice the number is equal to the product of 2 and the number increas

d1i1m1o1n [39]

Answer:

No solution

Step-by-step explanation:

10+2x=2x+8

2x=2x-2

0≠-2

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3 years ago

For an arithmetic sequence, a35=57. If the common difference is 5. Find a1 and the sum of the first 61 terms.

Flauer [41]

$\displaystyle\bf\\a_{35}=57\\r=5\\----\\a_1=?\\S_{61}=?\\----\\Solve:\\1)\\a_1=a_{35}-(35-1)\times r=57-34\times 5=57-170=-113\\\boxed{\bf a_1=-113}\\\\$

$\displaystyle\bf\\2)\\A_{61}=a_1+(61-1)\times r=-113+60\times5=-113+300=187\\\\S_{61}=(-113)+(-108)+(-103)+...+(-8)+(-3)+2+7+12+...+187\\\\S_{61}=SA+SB\\\\SA=(-113)+(-108)+(-103)+...+(-8)+(-3)=-(3+8+103+108+113)\\\\n=\frac{113-8}{5}+1=\frac{105}{5}+1=21+1=22~terms\\SA=-\Big( \frac{n(113+3)}{2} \Big)=-\Big( \frac{22\times116}{2} \Big)=-11\times116 =-1276$

$\displaystyle\bf\\SB=2+7+12+...+187\\\\n=\frac{187-2}{5}+1=\frac{185}{5}+1=37+1=38~terms\\\\SB=\frac{n(187+2)}{2}=\frac{38\times189}{2}=19\times189=3591\\\\S_{61}=SA+SB=-1276+3591=2315\\\\\boxed{\bf S_{61}=2315}$

8 0

3 years ago

in a company, 40% of the workers are women. If 1380 woman work for the company, how many total workers are there?

mrs_skeptik [129]

Answer:

Step-by-step explanation:

The total number of workers is our unknown. If 40% of this unknown number are women and the number of women is 1380, then the equation looks like this:

(remember that the word "of" generally means to multiply)

(also remember that we have to use the decimal form of a percent in an equation)

.40(x) = 1380 then divide to get the number of total workers:

x = 3450

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2 years ago

Use the diagram to complete these statements. If m26 = 50°, then m2 = 50° If m 25 = 70°, then m = 70 What is the measure of 22?

Thepotemich [5.8K]

Answer: 1,3,60°

Step-by-step explanation:

4 0

3 years ago