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Colt1911 [192]
3 years ago
10

Question 18

Mathematics
1 answer:
Svetlanka [38]3 years ago
5 0

Answer:

Step-by-step explanation:

J and K are equal

8x - 23 = 6x + 11            Add 23 to both sides

8x = 6x + 11 + 23           Combine the right

8x = 6x + 34                  Subtract 6x from both sides

8x - 6x = 34                   Combine the left

2x = 34                           Divide by 2

x = 34/2

x = 17

=================================

M and L are both supplementary to J and K respectively.

J = 8x - 23

J = 8*17 - 23

J = 136-23

J = 113

K = 113

===================================

M + 113 = 180

M = 180 - 113

M = 67

L = 67

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WHAT IS THE LINE OF BEST FIT FOR THE FOLLOWING DATA (1,3) (2,0) (5,-8) (9, -25) . WRITE YOUR ANSWERS IN THE FORM OF Y= AX+ B​
dimulka [17.4K]

Answer:

3.471 + 7.2516 x

Step-by-step explanation:

Given the data:

(1,3) (2,0) (5,-8) (9, -25) .

X:

1

2

5

9

Y:

3

0

-8

-25

The line of best fit for the data given can be obtained using an online regression calculator :

The equation of best fit for the data is thus;

Best fit equation; y = -3.471 + 7.2516x

Intercept = - 3.471 ;

Slope = 7.2516

5 0
3 years ago
A sequence is defined recursively by the following rules: f(1)=3f(n+1)=2⋅f(n)−1 Which of the following statements is true about
Radda [10]

Answer:

f(2)=5

f(5)=33

Step-by-step explanation:

The given formula, that recursively defines the sequence is

f(1) = 3 \\ f(n + 1) = 2f(n) - 1

When n=1, we obtain;

f(1+ 1) = 2f(1) - 1 \\ f(2) = 2 \times 3 - 1 \\ f(2) = 6 - 1 \\ f(2) = 5

When n=2, we get:

f(2+ 1) = 2f(2) - 1 \\ f(3) = 2 \times 5 - 1 \\ f(3) = 10 - 1 \\ f(3) = 9

When n=3,

f(3 + 1) = 2f(3) - 1 \\ f(4) = 2f(3) - 1 \\ f(4) = 2 \times 9 - 1 \\ f(4) = 18 - 1 \\ f(4) = 17

When n=4

f(4 + 1) = 2 f(4) - 1 \\ f(5) = 2 \times 17 - 1 \\ f(5) = 34 - 1 \\ f(5) = 33

When n=5,

f(6) = 65

4 0
3 years ago
If x^2-13x+42=(x+A)(x+B), then find the value of 3A-B
tigry1 [53]

Answer:

- 11 or - 15

Step-by-step explanation:

Factorise

x² - 13x + 42

Consider the factors of the constant term (+ 42) which sum to give the coefficient of the x- term (- 13)

The factors are - 6 and - 7, since

- 6 × - 7 = + 42 and - 6 - 7 = - 13, thus

x² - 13x + 42 = (x - 6)(x - 7)

compare to (x + A)(x + B)

A = - 6, B = - 7

thus 3A - B = 3(- 6) - (- 7) = - 18 + 7 = - 11

The factors may also be expressed as (x - 7)(x - 6)

with A = - 7 and B = - 6, then

3A - B = 3(- 7) - (- 6) = - 21 + 6 = - 15

5 0
3 years ago
Easy 20 points please tell me if I got it right and if not please tell me the right answer
mash [69]

Answer:

No, you are not correct.

It should look like this:

                              Prefer colorful decorations      Prefer neutral decorations

Pay attention                           20                                                  25

to fashion

Do not pay

attention to                              72                                                      33

fashion

Step-by-step explanation:

33 is 22% of 150. In the question it states that 70% of people do not pay attention to fashion. We need to find the other 48% here. In order to do that we multiply .48 by 150. That gets us 72. To check that answer you can add both 72 and 33 and then divide by 150, which gets 70%.

To get the amount of people that prefer neutral decorations and pay attention to fashion we need to add up 20 + 72 + 33 and that equals 125. Next, we take 150 and minus 125 of it to get 25.

<em>Hope this helps!!</em>

<em>- Kay :)</em>

3 0
3 years ago
Maya bought 20 ounces of nuts at the store. How much is this in pounds? Write your answer as a whole number or a mixed number in
VMariaS [17]

Answer:

1.25 pounds

Step-by-step explanation:

20 divided by 16 because 16 ounces are in a pound

6 0
3 years ago
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