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3 years ago

Which of these tables represents a linear function?

Mathematics

1 answer:

lana66690 [7]3 years ago

7 0

Answer:

table b

Step-by-step explanation:

Linear equations have a constant pattern in the y values and the second table consistently decreases by 1

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Is 3 2/3 greater than the square root of 11

Dennis_Churaev [7]

Answer:

Yes

Step-by-step explanation:

3 2/3 ~ 3.667

sqrt11 ~ 3.31662479

4 0

3 years ago

Read 2 more answers

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:

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

8 0

4 years ago

Read 2 more answers

Someone help ASAP!!!!!!

Alchen [17]

Answer:

Length, l = 11 ft.

Width, w = 9 ft.

Step-by-step explanation:

From the given data, the area of the rectangle = 99 ft².

Area of the rectangle = Length, l X Width, w

Here, Length, l = 7 more than twice the width

⇒ Length, l = 7 + 2w

Therefore, Area, A = 99 = (7 + 2w)w

⇒ 99 = 7w + 2w²

⇒ 2w² + 7w - 99 = 0

Solve the Quadratic equation using the formula: x = $\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ for the quadratic equation ax² + bx + c = 0.

Therefore, w = $\frac{-7 \pm \sqrt{7^2 -4(2)(-99)}}{2(2)}$

$= \frac{-7 \pm \sqrt{49 + 8(99)}}{4}$

$= \frac{-7 \pm + \sqrt{841}}{4}$

Since, $\sqrt{841} = 29$ we get:

$w = \frac{-7 \pm 29}{4}$

This gives two values of 'w', viz., w = $\frac{-7 - 29}{4}$ , $\frac{-7 + 29}{4}$

$\implies w = \frac{22}{4}, \frac{-36}{4}$

⇒ w = $\frac{22}{4}$ , -9.

We take the integer values.

If w = -9, then l = 2(-9) + 7

⇒ l = - 18 + 7 = - 11

Therefore, the length, l of the rectangle = - 11 ft.

and the width, w of the rectangle = - 9 ft.

Hence, the answer.

3 0

3 years ago

Jack and Jill applied for the same credit card from the same bank. The bank checked both of their FICO scores. Jack had an excel

iren [92.7K]

Answer:

a. Jack's monthly periodic rate = 1%

b. Jill's monthly periodic rate = 1.75%

c. Amount paid more by Jill than Jack = $5.25

Step-by-step explanation:

a. Jack was approved for a card with an APR of 12%. What was his monthly periodic rate?

Jack's monthly periodic rate = Jack's annual percentage rate (APR) / Number of months in a year = 12% / 12 = 1%

b. Jill was approved for a card with an APR of 21%. What was her monthly periodic rate?

Jill's monthly periodic rate = Jill's APR / Number of months in a year = 21% / 12 = 1.75%

c. If each of them had an average daily balance of $700 and had to pay a finance charge, how much MORE will Jill pay than Jack?

Jack's finance charge = Jack's monthly periodic rate * Average daily balance = 1% * $700 = $7

Jill's finance charge = Jill's monthly periodic rate * Average daily balance = 1.75% * $700 = $12.25

Amount paid more by Jill than Jack = Jill's finance charge - Jack's finance charge = $12.25 - $7 = $5.25

5 0

3 years ago

A more than 6 is -30 solve problem

erastovalidia [21]

Answer:

a = =36

Step-by-step explanation:

a + 6 = -30

make a on its own

a = -30 - 6

a = =36

8 0

3 years ago

Which of these tables represents a linear function?​

Which of these tables represents a linear function?