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slamgirl [31]
3 years ago
6

11. Solve for x 3x + 3 − x + (−7) > 6 A. x > 5 B. x > (−5) C. x < 5 D. x > 2.5

Mathematics
2 answers:
lara31 [8.8K]3 years ago
8 0

3x + 3 - x -7 is greater than 6.

2x - 4 is greater than 6.

2x is greater than 10.

x is greater than 5.

Hence, the answer is (A).

Aneli [31]3 years ago
7 0

Answer:

A. x > 5

Step-by-step explanation:

We have been given the inequality;

3x + 3 − x + (−7) > 6

The first step is to collect the like terms;

3x-x+3-7>6

2x-4>6

2x>6+4

2x>10

x>5

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Factor x^3 – 3x^2 – 4x + 12 completely using long division if (x – 2) is a factor.
GaryK [48]

Answer: B. (x-2) (x+2) (x+3)

   

8 0
3 years ago
Megan is making bracelets to sell to earn money for the local animal shelter it takes her 1/4 hour to pick out all the beads and
Lana71 [14]
She has 75mins to make braclets and it takes her 6mins to make one so 75 divided by 5 is your answer and if the answer is not a whole number round down
5 0
3 years ago
The cost of six hens and one duck at the university poultry farm is GH₵40. While four hens and three ducks cost GH₵36. What is t
Anon25 [30]

Answer:

Step-by-step explanation:

Let's call hens h and ducks d. The first algebraic equation says that 6 hens (6h) plus (+) 1 duck (1d) cost (=) 40.

The second algebraic equations says that 4 hens (4h) plus (+) 3 ducks (3d) cost (=) 36.

The system is

6h + 1d = 40

4h + 3d = 36

The best way to go about this is to solve it by substitution since we have a 1d in the first equation. We will solve that equation for d since that makes the most sense algebraically. Doing that,

1d = 40 - 6h.

Now that we know what d equals, we can sub it into the second equation where we see a d. In order,

4h + 3d = 36 becomes

4h + 3(40 - 6h) = 36 and then simplify. By substituting into the second equation we eliminated one of the variables. You can only have 1 unknown in a single equation, and now we do!

4h + 120 - 18h = 36 and

-14h = -84 so

h = 6.

That means that each hen costs $6. Since the cost of a duck is found in the bold print equation above, we will sub in a 6 for h to solve for d:

1d = 40 - 6(6) and

d = 40 - 36 so

d = 4.

That means that each duck costs $4.

3 0
3 years ago
It is: THE SUM OF THREE CONSECUTIVE NUMBERS IS 78 WHAT IS THE SMALLEST OF THREE NUMBERS?
TiliK225 [7]
-----------------------------------------------
Define x :
-----------------------------------------------
Let the smallest number be x.
The other two numbers will be x+1 and x+2.

-----------------------------------------------
Construct equation :
-----------------------------------------------
The sum of all 3 numbers is 78
⇒ x + x + 1 + x + 2 = 78

-----------------------------------------------
Solve x :
-----------------------------------------------
x + x + 1 + x + 2 = 78
3x + 3 = 78
3x = 78 - 3
3x = 75
x = 25

-----------------------------------------------
Answer: Smallest number = 25
-----------------------------------------------
8 0
3 years ago
Read 2 more answers
CAN SOMEONE PLEASE HELP ME WITH MY GEOMETRY HOMEWORK!!!! I DON'T UNDERSTAND WHAT I'M SUPPOSED TO DO SO CAN SOMEONE PLEASE HELP M
MAVERICK [17]

Answer:

  see attached

Step-by-step explanation:

Dilation is the transformation that changes the size of something. When you choose ×110% on a copy machine, you are making all the dimensions in the copy equal to 1.1 times the dimensions of the original, for example. That is dilation by a factor of 1.1, or 110%.

Here, you're asked to dilate triangle ABC by a factor of 3. That means all of the dimensions on the dilated figure will be 3 times their length on the original.

The center of dilation is point P. That means all the distances from point P are multiplied by 3.

In the attached figure, a gray arrow has been drawn from point P to each of the points A, B, and C. Then two more arrows of the same length are drawn in the same direction. The total distance at the end of the 3 arrows is 3 times the original distance from point P. These are the points A', B', and C' you are asked to draw. Connecting these points gives the dilated triangle A'B'C'.

___

You could think of point P (the center of dilation) as having coordinates (0, 0). Then points A, B, and C would have coordinates A(-4, 0), B(0, -3), and C(-4, -3). To dilate these points by a factor of 3, multiply each coordinate value by 3: A'(-12, 0), B'(0, -9), C'(-12, -9). You will see that these are the coordinates of the vertices of the dilated triangle.

4 0
3 years ago
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