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Alja [10]
3 years ago
12

In the following table of values, the first differences are

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
5 0

Answer:

-7

Step-by-step explanation:

Given

\begin{array}{ccc}x & {y} & {First\ difference} & {-2} & {34} & {}&{-1} & {27} & {} &{0} & {20} & {} & {1} & {13} & {} & {2} & {6} &{} \ \end{array}

Required

The first difference

To do this, we simply calculate the difference between the consecutive y-values.

i.e.

d = y_{n+1} - y_n

So, we have:

d = y_2 - y_1 = 27 - 34 = -7

d = y_3 - y_2 = 20 - 27 = -7

d = y_4 - y_3 = 13 - 20 = -7

d = y_5 - y_4 = 6-13 = -7

<em>Hence, the first differences are -7 (all through)</em>

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If I'm understanding the question right:
12) 24 x 10^4 
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3 years ago
7(4g) + 3(5h) +2(-3g) g=1/2, h=1/3
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4 0
2 years ago
The two lines y= 6x+15 and y= mx+4 intersect at x= -2. What is the y-coordinate of their intersection point
taurus [48]

Answer:

The y-coordinate of their intersection point is 3

That is y=3

Step-by-step explanation:

Given two lines are y=6x+15 and y=mx+4

Given that the two lines intersect at x=-2

To find the y coordinate of their intersection point :

Equating the two lines

6x+15=mx+4

6x+15-mx-4=0

6x-mx+11=0

(6-m)x+11=0

At x=-2  (6-m)x+11=0

(6-m)(-2)+11=0

(6-m)(-2)=-11

6-m=\frac{11}{2}

-m=\frac{11}{2}-6

-m=\frac{11-12}{2}

-m=\frac{-1}{2}

m=\frac{1}{2}

Substitute the value m=\frac{1}{2} in y=mx+4 we get

y=\frac{1}{2}x+4

At x=-2 y=\frac{1}{2}(-2)+4

=-1+4

=3

Therefore y=3

Therefore the y-coordinate of their intersection point is 3

7 0
3 years ago
A penny has a mass of 3 grams. what is the mass in grams of 8 pennies ?
lawyer [7]
Multiply
3x8
=24 Grams
8 0
3 years ago
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A 12-foot board is to be cut into 5 pieces. Four of the pieces will be the same length and one piece will be 2 feet longer than
sesenic [268]

Answer:

The answer should be D.

Hope this helped, have a nice day!


4 0
3 years ago
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