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LUCKY_DIMON [66]
3 years ago
8

Find the value of X. I greatly appreciate your help

Mathematics
1 answer:
melamori03 [73]3 years ago
3 0

Answer:

x = 14

Step-by-step explanation:

comp = add up to be 90

3x + 14 + 2x + 6 = 90

5x + 20 = 90

5x = 70

x = 14

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I need help show your work
Vlad1618 [11]
If x = 2 than, 6(4x2)=48
-3(8x)= -24
It would equal 24
6 0
3 years ago
Read 2 more answers
7. The manager of the soda shop decides that because you are a good customer, you may use a flavor as many times as you’d like.
Black_prince [1.1K]

The different possible mixtures can you make is 1716 .

<u>Step-by-step explanation:</u>

Given that,

  • The total number of flavors available in the shop = 13 flavors
  • The number of flavors you need to choose = 6 flavors

Here, we have to use  the formula for combination,

nCr = n! / r! × (n-r) !

where,

  • n is the total number of flavors
  • r is the number of flavors you need to choose

⇒ 13C6 = 13 ! / 6! × (13-6)!

⇒ 13! / (6! × 7! )

⇒ 13 × 12 × 11 × 10 × 9 × 8 × 7! / (6! × 7! )

⇒ 13 × 12 × 11 × 10 × 9 × 8 / 6!

⇒ 13 × 12 × 11 × 10 × 9 × 8 / 6 × 5 × 4 × 3 × 2 × 1

⇒ 1716

Therefore, you can 1716 different possible mixtures.

3 0
3 years ago
16. Find the values of x and y. (2y + 5) (5x - 17) (3x – 11)º
Iteru [2.4K]

Answer:

x = 26

y = 9

Step-by-step explanation:

(5x - 17)° + (3x - 11)° = 180° (angles in a straight line)

Solve for x

5x - 17 + 3x - 11 = 180

Collect like terms

5x + 3x - 17 - 11 = 180

8x - 28 = 180

Add 28 to both sides

8x = 180 + 28

8x = 208

Divide both sides by 8

x = 208/8

x = 26

Also:

(2y + 5)° + 90° + (3x - 11)° = 180° (angles on a straight line)

Plug in the value of x and solve for y

2y + 5 + 90 + 3(26) - 11 = 180

2y + 5 + 90 + 78 - 11 = 180

Collect like terms

2y + 162 = 180

Subtract 162 from both sides

2y = 180 - 162

2y = 18

y = 9 (dividing both sides by 2)

3 0
3 years ago
Which statements about the function are true? Select two
iogann1982 [59]

Answer:

The vertex of the function is at (1,-25)

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one.

<em>Part of the graph of the function f(x) = (x + 4)(x-6) is shown  below. </em>

<em>Which statements about the function are true? Select two </em>

<em>options. </em>

<em>The vertex of the function is at (1,-25). </em>

<em>The vertex of the function is at (1,-24). </em>

<em>The graph is increasing only on the interval -4< x < 6. </em>

<em>The graph is positive only on one interval, where x <-4. </em>

<em>The graph is negative on the entire interval  </em>

My answer:

Given the factored form of the function:

f(x) = (x + 4)(x-6)

<=> f(x) = x^{2} - 2x -24

We will convert to vertex form

<=> f(x) = (x^{2} - 2x +1) - 25

<=> f(x) = (x-1)^{2} -25

=> the vertex of the function is: (1,-25)

We choose: a. The vertex of the function is at (1,-25)

Let analyse other possible answers:

<u>c. The graph is increasing only on the interval -4< x < 6.</u>

Because the parameter a =1 so the graph open up all over its domain and the vertex is the lowest point.

So the graph is increasing in the domain (1, +∞)

=> C is wrong

<u>d. The graph is positive only on one interval, where x <-4</u>

Wrong, The graph is positive only on one interval, where x > 6

<u>e. The graph is negative on the entire interval</u>

Wrong, The graph is negative only on one interval, where -4< x < 6.

7 0
3 years ago
Find the value of 17<br> 33 rounded to the nearest ten-thousandth.
alexira [117]

Answer:

0.5152

Step-by-step explanation:

7 0
3 years ago
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