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3 years ago

Help me on this question

Mathematics

1 answer:

olganol [36]3 years ago

5 0

Answer:

see below

Step-by-step explanation:

All of the given data sets have x-values that are sequential with a difference of 1. That makes it easy to determine the sort of sequence the y-values make.

first choice: the y-values have a common difference of -2. This will be matched by a linear model.

second choice: the y-values have a common difference of +2. Again, this will be matched by a linear model.

third choice: the y-values have a common ratio of -2. This will be matched by an exponential model.

fourth choice: the y-value differences are 3, 5, 7, increasing by a constant amount (2). This is characteristic of a sequence that has a quadratic model.

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Find one value of x that is a solution to the equation: (x^2– 8)^2 + x^2 – 8 = 20 x=

Kipish [7]

Answer:

x = 2 sqrt(3) or x = -2 sqrt(3) or x = sqrt(3) or x = -sqrt(3)

Step-by-step explanation:

Solve for x:

-8 + x^2 + (x^2 - 8)^2 = 20

Expand out terms of the left hand side:

x^4 - 15 x^2 + 56 = 20

Subtract 20 from both sides:

x^4 - 15 x^2 + 36 = 0

Substitute y = x^2:

y^2 - 15 y + 36 = 0

The left hand side factors into a product with two terms:

(y - 12) (y - 3) = 0

Split into two equations:

y - 12 = 0 or y - 3 = 0

Add 12 to both sides:

y = 12 or y - 3 = 0

Substitute back for y = x^2:

x^2 = 12 or y - 3 = 0

Take the square root of both sides:

x = 2 sqrt(3) or x = -2 sqrt(3) or y - 3 = 0

Add 3 to both sides:

x = 2 sqrt(3) or x = -2 sqrt(3) or y = 3

Substitute back for y = x^2:

x = 2 sqrt(3) or x = -2 sqrt(3) or x^2 = 3

Take the square root of both sides:

Answer: x = 2 sqrt(3) or x = -2 sqrt(3) or x = sqrt(3) or x = -sqrt(3)

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3 years ago

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Vesna [10]

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Step-by-step explanation: .

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1 year ago

Point q is the image of Q(5, -3) after a translation down 2 units and right 4 units. What are the coordinates of Q?

Jet001 [13]

Answer:

(9,-5)

Step-by-step explanation:

When you go down, the number will decrease. The vertical position is the Y axis. -3-2=5.

When you go right, the number will increase. The horizontal position is the X axis. 5+4=9

(9,-5)

Hope this helps :-)

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When a barrel is one faithful it holds 16 litres how many litres will it hold when half full

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What is the unit rate for 72 ounces in 6 steaks

Tpy6a [65]

Unit rate means price for 1 amount of that thing

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