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3 years ago

Complete table of values with working out

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

3 0

Assume an x-value, substitute it in the equation where you find "x" and solve to find y

x = 0
y = -18

x = 1
y = -14

x = 2
y = -8

x = 3
y = 0

x = 4
y = 10

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3 years ago

Evaluate N^2 + 2N 1 for N=5

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Answer:

Step-by-step explanation:

write 5 in N's place

5^2+2×5×1

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3 years ago

Determine any data values that are missing from the table, assuming that the data represent a linear function.

Stells [14]

Answer:

Fill in the blank with 14

Step-by-step explanation:

Given

The attached table

Required

Fill in the gap

Since, the table represents a linear function.

The first step is to calculate the slope of the table

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$(x_1,y_1) = (1,2)$

$(x_2,y_2) = (2,6)$

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{6 - 2}{2 - 1}$

$m = \frac{4}{1}$

$m=4$

The equation of the table is calculated next as:

$y - y_1 = m(x - x_1)$

This becomes

$y - 2 = 4(x - 1)$

$y - 2 = 4x - 4$

Solve for y

$y = 4x - 4+2$

$y = 4x -2$

To fill in the blank;

The value of x is 4

So, substitute 4 for x in $y = 4x -2$

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3 years ago

Which is the simplified form of the expression ((p squared) (q Superscript 5 Baseline)) Superscript negative 4 Baseline times ((

Alexus [3.1K]

Answer:

$q^{-30}$

Step-by-step explanation:

Given the expression:

$((p^2) (q ^5)) ^{-4} X ((p ^{-4}) (q^5)) ^{-2}$

First, we open the outer brackets

$=(p^{2X-4}) (q ^{5X-4})X (p ^{-4X-2}) (q^{5X-2})\\\\=(p^{-8}) (q ^{-20})X (p ^{8}) (q^{-10})\\\\$Next, we can collect like terms\\\\=p^{-8}Xp ^{8}Xq ^{-20}Xq ^{-10}\\\\$Applying addition law of indices\\\\=p^{-8+8}Xq^{-20+(-10)}\\\\=p^0 X q^{-30}\\\\=1 X q^{-30}\\\\=q^{-30}$

Therefore:

$((p^2) (q ^5)) ^{-4} X ((p ^{-4}) (q^5)) ^{-2}=q^{-30$

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