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Black_prince [1.1K]
3 years ago
6

What is -9(5 − 6x) simplified?

Mathematics
2 answers:
Luda [366]3 years ago
6 0

here's your answer :  -45 + 54x

miss Akunina [59]3 years ago
3 0

Answer:

54x - 45

Step-by-step explanation:

-9(5-6x)

Distribute by multiplying

-9 x 5 + -9 x 6x

Simplify

54x - 45

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Select the correct answer
lora16 [44]

Answer:

Data set 3 has the highest IQR, so the correct option is {13,17,12,21, 18,20}

Step-by-step explanation:

The question is:

Which data set has the greatest spread for the middle 50% of its data

We have given the data sets:

{18,13,22, 17, 21, 24}

{17,19,22,26,17,14}

{13,17,12,21, 18,20}

{18,21,16,22,24,15}

To find the greatest spread for the middle we need to find the IQR for all the data sets and check which one is highest.

So,

For the first set: 22-17 = 5

For the second: 22-17 = 5

For the third set = 20-13 = 7

For the fourth set = 22-16 = 6

Since data set 3 has the highest IQR, so the correct option is {13,17,12,21, 18,20}  ....

8 0
3 years ago
Find the distance between the pair of points: (6,−3) and (1,0
rosijanka [135]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

\sqrt{34}

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻

\text{\underline{The distance formula is:}}\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

⸻⸻⸻⸻

\boxed{\text{Calculating the answer....}}\\\\d = \sqrt{(1-6)^2+(0-(-3))^2}\\--------------\\\rightarrow d = \sqrt{(-5)^2+(3)^2}\\\\\rightarrow d = \sqrt{(25+9)}\\\\\rightarrow d =\boxed{ \sqrt{34} }

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.

6 0
3 years ago
The area of triangle formed by points of intersection of parabola y=a(x−1)(x−4) with the coordinate axes is 3. Find a if it is k
n200080 [17]

Answer:

The value of a will be  a=-\frac{1}{2}

Step-by-step explanation:

Start by graphing the parabola and  the three points of the triangle. These points are at intersections of y=a(x-1)(x-4) and the axes

so the y = 0 points are (1,0) and (4,0).

The x = 0 intersection is when y=a(-1)(-4) or (0,4a)

The base and height of this triangle are

The base would be the distance between the y=0 intersections and the height would be the y value of the other vertex.

Hence, base=3 units and height = 4a units. Thus, area can be calculated as

A = \frac{1}{2}\times b\times h =\frac{1}{2}\times 3\times 4a = 3

a=\frac{1}{2}

∵ the parabola opens downward therefore a will be negative.

hence,  a=-\frac{1}{2}

3 0
3 years ago
Use the diagram to complete the statement.
Elanso [62]
75° because they are alternate interior angles
3 0
3 years ago
You earn commission on a $500 couch. How much do you earn?
aleksley [76]

Answer:

When an employee earns a commission, they make a portion of the sale in income. For example, if an employee sells a couch for $500 and they get a 10% commission on all sales, then they earn $50 on that sale.

Step-by-step explanation:

So it depends on what the percentage of the commission is

3 0
2 years ago
Read 2 more answers
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