Find the value of k, if (1, -1) is a solution of the equation 3x-ky = 8. Also, find the coordinates of another point lying on its graph.

Answers

Answer 1

Answer: K=5
Another point lying on the graph is (6,-2)

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Which off the following expressions is equal to -3x^2-12A. (-3x+2i)(x-6i)
B. (-3x-6i)(x+2i)
C. (-3x-6i)(x+2i)
D. (-3x-4i)(x-3i)

Answers

Answer:

B. (-3x-6i)(x+2i)

C. (-3x-6i)(x+2i)

Since they are the same answer choice. Should be (-3x-6i)(x-2i) should be the correct answer.

Step-by-step explanation:

The polynomial -3x^2-12 can be factored using GCF into -3(x^2+4).

x^2+4 is a sum of squares and factors into the form (x+ai)(x-ai).

x^2+4 factors into (x+2i)(x-2i).

We put them together and have -3(x+2i)(x-2i) = (-3x-6i)(x-2i)

If 8 construction workers want to share a 45-pound bag of cement mix equally by weight, how many pounds of cement mix should each construction worker get? Between what two whole numbers does your answer lie?

Answers

Answer:
A. 5.625
B. 5 and 6

Step-by-step explanation:

45 / 8 = 5.625

A. Each of the 8 workers should get 5.625 pounds of cement
B. 5.625 is between the whole numbers 5 and 6.

If EG=10x+20, FG=43. EG=183, find the value of x.

Answers

Answer:

Option (3)

Step-by-step explanation:

Given: EF = 10x + 20

FG = 43

EG = 183

From the figure attached,

Length of segment EF + length of segment FG = length of segment EG

By substituting the values of each segment in the equation,

(10x + 20) + 43 = 183

10x + 20 = 183 - 43

10x = 140 - 20

x = $(120)/(10)$

x = 12

Therefore, x = 12 will be the answer.

Option (3) will be the correct option.

Frank needs to fill juice cups for his little sister's birthday party. There are 35 juice cups and each juice cup holds 12 fluid ounces. The juice comes in 1-gallon bottles. How many 1-gallon bottles of juice will Frank need to purchase?(1 quart = 32 fluid ounces, 1 gallon = 4 quarts)
A: 1 Bottle
B: 2 Bottles
C: 3 Bottles
D: 4 Bottles

Answers

128 oz. in one gallon. 35 cups of 12 oz. equals 420 oz. 420 divided by 128 equals 3.28 so youll need 4 bottles. D.

What is 1/2 (2x+5) in a word phrase

Answers

Answer:

x+5/2

hope this helps!!:)

Step-by-step explanation:

A newborn weighs 8 pounds and 5 ounces. There are 453.59 grams per pounds. What is the infant's weight in grams ?

Answers

453.59x8=3628.72

5 ouces= 453.59/16x5=141.746875

141.746875+3628.72=3770.466875 grams

hope this helps

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