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omeli [17]
3 years ago
5

Solve, graph, and give interval notation for the inequality:

Mathematics
1 answer:
Georgia [21]3 years ago
3 0

Answer:

The answer to your question is

Step-by-step explanation:

Inequality 1

                             4(3x - 4) < 32

                             12x - 16 < 32

                             12x < 32 + 16

                              12x < 48

                                 x < 48/12

                                 x < 4

Inequality 2

                           2x + 1 ≤ 8x + 25

                           2x - 8x ≤ 25 - 1

                               - 6x ≤ 24

                                   x ≥ 24/-6

                                   x ≥ - 4

- See the graph below

- Interval [-4, 4)

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Jordan has 28 golf balls. 28 golf balls in 4 rows and 7 columns. Of the 28 golf balls, 17 are yellow. How many golf balls are ye
crimeas [40]

The distribution of the balls is an illustration of proportions, and 4 of the golf balls are yellow

<h3>How to determine the number of yellow golf balls?</h3>

The distribution of the balls are given as:

Total = 28

Yellow = 1/7

The number of yellow balls is given as:

Yellow = 1/7 * Total

This gives

Yellow = 1/7 * 28

Evaluate the product

Yellow = 4

Hence, 4 of the golf balls are yellow

Read more about proportion at:

brainly.com/question/1781657

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7 0
2 years ago
Iestion 10 (5 points)
marta [7]

Answer:

Jake is 9, and Jake's dad is 43.

Step-by-step explanation:

Ok, let's start off by putting a variable for Jack's age, A.

We know that Jack's father is 2 less than 5 times, so we can write his as 5x -2.

Now let's make an equation:

52 = x + 5x - 2

We need to isolate the x-values so we need to add 2 on both sides:

54= x + 5x

No we need to add the like terms:

54 = 6x

Finally, we just divide by 6 on each side.

Now we know X = 9 but we're not done yet :)

So because Jake's dad is almost 5 times as much, we first multiply Jack's age by 5. We get 45 but we need to subtract 2 which leaves us with 43.

3 0
3 years ago
What is the radius of the circle given the equation x2 - 6x + y2 + 10y - 2 = 0?
Bezzdna [24]
4x+12y=2
2=4x+12y
2x+6y
8 0
3 years ago
Below is a pair of vectors. add them and insert your answer here: ab+bc=(-3-1)+(-4 2)=<br>​
jarptica [38.1K]

Answer:

(-7, 1)

Step-by-step explanation:

Add the x and y values separately which is across from your screen to get the function which is (-7, 1).

8 0
2 years ago
Let z be the product of any 5 consecutive three digit odd natural numbers. When you multiply
Charra [1.4K]

Answer:

  5

Step-by-step explanation:

If x is the middle number of the 5 consecutive odd numbers, their product is ...

  x(x -2)(x +2)(x -4)(x +4) = x(x² -4)(x² -16)  = x⁵ -20x³ +64x

The first 3-digit prime is 101, so the product of that with this is ...

  101(x⁵ -20x³ +64x) = 101x⁵ -2020x³ +6464x

Since we're only interested in the units digit, we can find the mod 10 value of this to be ...

  (x⁵ +4x) mod 10

Possible units digits of x are 1, 3, 5, 7, 9, so possible units digits of this product are ...

  x(x⁴ +4) = 1(1⁴ +4) = 5

  3(3⁴ +4) = 3(1 +4) = 5 . . . . mod 10

  5(5⁴ +4) = 5(5 +4) = 5 . . . . mod 10

  7(7⁴ +4) = 7(1 +4) = 5 . . . . mod 10

  9(9⁴ +4) = 9(1 +4) = 5 . . . . mod 10

In every case, the units digit of 101z will be 5.

4 0
2 years ago
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