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3 years ago

The inverse of y = 3x – 2 would be:

Mathematics

2 answers:

Serjik [45]3 years ago

8 0

D:
Y=3x-2
+2 to both sides of =
Y+2=3x
Divide by 3 on both sides of =
(Y+2)/3= x
X=(Y+2)/3

Ber [7]3 years ago

3 0

D because y=3x-2
Y+2=3x
Y+2/3=x

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The minute hand of a clock is 8 inches long. To the nearest tenth of an inch, how far does the tip of the minute hand travel as

lesya692 [45]

Answer:

The tip of the minute hand travels 20.9 inches.

Step-by-step explanation:

We are given that the minute hand of a clock is 8 inches long. And we have to find that how far does the tip of the minute hand travel as the time progresses from 12:00 to 12:25.

<u>So, firstly we will find the circumference of circle;</u>

Circumference of circle (C) = $2\pi r$ {where r is radius of circle}

= $2 \times \pi \times 8$ {given r = 8 inches long}

= $16 \pi$

Now, as we know that the minute hands completes the full circle in 60 minutes, therefore, the length of the arc between time 12:00 to 12:25 represents $\frac{25}{60}$ which is $\frac{5 }{12}$ of the circumference, that means;

The length of arc from time 12:00 to 12:25 = $\frac{5}{12}\times \text {Circumference of circle}$

= $\frac{5}{12} \times 16 \pi$

= $\frac{20}{3} \pi$ = 6.67 $\pi$

Now, assuming value of $\pi$ = 3.14; so 6.67 $\pi$ = $6.67 \times 3.14$ = 20.9 inches (in nearest tenth)

Hence, the tip of the minute hand travels 20.9 inches.

5 0

3 years ago

Seven apple women, possessing respectively 20, 40, 60, 80, 100, 120, and 140

Westkost [7]

Answer:

The amount each took home was 20 unit currency.

Step-by-step explanation:

We are given that Seven apple women, possessing respectively 20, 40, 60, 80, 100, 120, and 140 apples, went to market and sold all their apples at the same price, and each received the same sum of money.

Formula : $a \times n + (n - 1)$ , $(a + b)\cdot n + (n - 2)$ , $(a + 2 \cdot b) \cdot n + (n - 3)$ , $(a + 3 \cdot b) \cdot n + (n - 4)$ , $(a + 4 \cdot b) \cdot n + (n - 5)$ , $(a + 5 \cdot b) \cdot n + (n - 6)$ , $(a + 6 \cdot b) \cdot n + (n - 7)$

$a \cdot n + (n - 1) = 20$

$(a + b) \cdot n + (n - 2)=40$

$(a + 2 \cdot b) \cdot n + (n - 3) = 60$

$(a + 3 \cdot b) \cdot n + (n - 4) = 80$

$(a + 4 \cdot b) \cdot n + (n - 5) = 100$

$(a + 5 \cdot b) \cdot n + (n - 6) = 120$

$(a + 6 \cdot b) \cdot n + (n - 7) = 140$

On solving :

n = 7, a = 2, b = 3

So,

$2 \times 7 + 6 = 20$

$5 \times 7 + 5=40$

$8 \times 7 + 4 = 60$

$11 \times 7 + 3 = 80$

$14 \times 7 + 2 = 100$

$17 \times 7 + 1 = 120$

Based on market pricing if groups of apples are sold at 1 unit currency for 7, and extras are sold for 3 unit currency per extra 1, we have the amount :

2×1 + 6×3 = 20

5×1 + 5×3=20

8×1 + 4×3 = 20

11×1 + 3×3 = 20

14×1 + 2×3 = 20

17×1 + 1×3 = 20

20×1 = 20

Therefore, the amount each took home was 20 unit currency.

4 0

3 years ago

4+(-2) please help me I could use it

ehidna [41]

2 is the right answer
i hope this helps

5 0

3 years ago

Read 2 more answers

If f(x) = x^2 — 3x, explain how to find f(—1.8).

gogolik [260]

Answer:

Plug -1.8 into each x so the equation would become (-1.8)^2 - 3(-1.8)

Step-by-step explanation:

5 0

3 years ago

A triangle has an area of 24 square inches and a height of 8 inches. Which could be the length of its base?

vichka [17]

Answer:

This is such a basic question to people who have good STEM backgrounds that it's ... So I can refer to the area of a squar ... What-is-the-height-of-a- triangle-with-an-area-of-24-square-inches-and-a- base- ...

4 0

3 years ago