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zavuch27 [327]
3 years ago
15

How many solutions exist for the given equation? 3(x -2) = 22-x

Mathematics
1 answer:
OLEGan [10]3 years ago
6 0

Answer: 1

Step-by-step explanation:

3(x-2) = 22-x

3x - 6 = 22 - x

4x = 28

x = 7

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At a cherry farm, the cost per pound of cherries depends on the amount of cherries bought. For an amount up to 100 pounds, the c
Leya [2.2K]

Answer:

they would have saved 35 dollars

Step-by-step explanation:

Ralph on his own would have paid  105 and jeff 140 but together with the discount they could save $35 by paying 210 in total with the discount.

3 0
3 years ago
Find (f - g)(5) when f(x) = 5x2 + 4 and g(x)=x<br>+3.<br>A) 121<br>B) 131<br>C) -134<br>D) 127<br>​
Tema [17]

The answer is A

- you have to substitute 5 for x in both equations

- solve both equations separately

- subtract the functions

8 0
4 years ago
Please help me it’s due today please help me please please people help me please please
SCORPION-xisa [38]

Answer:

a) 0≠ -10

b) x= -3

c)y= 0

Step-by-step explanation:

a) 3-4x=-7-4x

3-4x=-7-4x\\Adding \ 4x \ on \ both \ sides\\3-4x+4x=-7-4x+4x\\3-0=-7\\Adding \ -3\\3-0-3=-7-3\\0\neq -10

So, this equation has no solution as both sides are not equal.

b) 15-2x=-7x

Solving:

15-2x=-7x\\Adding \ 2x \ on \ both \ sides\\15-2x+2x=-7x+2x\\15=-5x\\Divide \ both \ sides \ by -5\\x=-3

So, this equation has one solution

c) 7(y-3)=6y-21

Solving:

7(y-3)=6y-21\\7y-21=6y-21\\Adding \ -6y \ on \ both \ sides\\7y-21-6y=6y-21-6y\\y=-21+21\\y=0

So, this equation has one solution.

1. Write equation with no solution. 3-4x=-7-4x (check solution of a)

2. Write equation with one solution. 7(y-3)=6y-21 (check solution of c)

3. Write equation with infinite solution. 2x + 3 = x + x + 3

solving:

2x+3=2x+3

2x-2x+3=3

3=3

When both sides are equal, the equation has infinite solutions.

6 0
3 years ago
Cos2A is equivalent to: A. sin2A−cos2A B. sin2A+cos2A C. cos2A−sin2A D. cosA−sinA
valina [46]

Formatted Options:

A. sin²A−cos²A

B. sin²A+cos²A

C. cos²A−sin²A

D. cosA−sinA

Answer:

C. cos²A−sin²A

Step-by-step explanation:

From the double angle formulas, we know that:

cos (A + B) = cosAcosB - sinAsinB

So, if B = A, then the above equation becomes;

cos(A + A) = cosAcosA - sinAsinA      [i.e replacing B with A]

=>cos(2A) = (cosA)² - (sinA)²

=> cos(2A) = cos²A - sin²A

Therefore,

cos(2A) is equivalent to cos²A - sin²A

6 0
3 years ago
Factor: 4x2 - 6x - 2x + 3
ella [17]

Answer:

(2x−1)(2x−3)

Step-by-step explanation:

4x² - 6x - 2x + 3

= 4x² - 8x + 3 (by factorization method, or choose any of your favorite methods)

= (2x−1)(2x−3)

3 0
4 years ago
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