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3 years ago

Solve the equation (x-3)(x-4)=12

Mathematics

1 answer:

castortr0y [4]3 years ago

7 0

Expanding, x^2-7x+12=12. Therefore, x^2=7x or x=0 or 7.

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Emma reached into the bag 10 different times, drew a ball, and recorded the numbers. Here are her results.

n200080 [17]

Answer:

<u>The multiples of 3 are:</u>

6, 9, 9

These the 3 out of 10 results.

<u>The probability of selecting a multiple of 3 is:</u>

P = 3/10 as fraction
= 0.3 as decimal
= 30% as percent

3 0

3 years ago

Read 2 more answers

Write the equation of the parabola in vertex form.<br> vertex (2.4), point (3. - 3)

Kobotan [32]

Answer:

(y−3)2=16(x−2) is the equation of the parabola. Explanation: Whenever vertex(h,k) is known to us, we must preferably use the vertex form of the parabola:

Step-by-step explanation:

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3 years ago

F(x)=8-(x+7)+2x solution set in interval notation is

sweet-ann [11.9K]

There's no solution set.
you've just given a function of x with nothing to do with it. there is nothing to solve.

8 0

3 years ago

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A piece of wire 40 cm long is to be cut into two pieces. One piece will be bent to form a circle and; the other will be bent to

Brums [2.3K]

<h3>The perimeter of circle = 17.6 cm</h3><h3>Perimeter of square = 22.4 cm</h3>

Step-by-step explanation:

The total length of the wire = 40 cm

Let us assume the circumference of the circle = k cm

So, the circumference of the square = ( 40 - k) cm

Now,as circumference of circle = 2πR

⇒2πR = k cm or, R = $(\frac{k}{2\pi})$

Area of the circle = πR²

or, A = $\pi (\frac{k}{2\pi} )^2$

$= \pi \times (\frac{k^2}{(2\pi)^2} ) = \frac{k^2}{4 \pi} \\\implies A = \frac{k^2}{4 \pi}$ ....... (1)

Similarly , perimeter of square = 4 x Side

⇒ 4 x Side = ( 40 - k) cm ⇒ S = $(\frac{40 - k}{4} )$

Area of the square = (Side)² = $(\frac{40 - k}{4} ) ^2$

Solving, we get: $A = \frac{1600 + k^2 - 80 k}{16}$ ....... (1)

So, combining (1) and (2), total area A is

$A = (\frac{k^2}{4 \pi} ) + \frac{k^2 + 1600 - 80 k }{16}$

or, we get: A = 0.07962 k² + 0.0625 k² + 100 - 5 k

A = 0.1422 k² - 5 k + 100

For axis of symmetry : $k = (\frac{-b}{2a} ) = (-\frac{-5}{2(0.1420}) = 17.6$

⇒ k = 17.6 inches

So, the perimeter of circle = 17.6 cm

Perimeter of square = (40 - 17.6 ) = 22.4 cm

3 0

3 years ago

Amy and Jed are among the 35 people, who are standing in a line, one behind the other, waiting to buy movie tickets. The number

Artemon [7]

Answer: 29

Step-by-step explanation:

Given : Total people in the line = 35

Number of people behind Amy = 15

⇒Number of people in front of Amy = Total people - (Amy and people behind Amy)

= 35-15-1

= 19

According to the question,

Number of people in front of Amy + Number of people behind Jed =24

⇒ 19 + Number of people behind Jed =24

⇒ Number of people behind Jed =24 -19 = 5

Then, Number of people are in front of Jed = 35 - (Jed and people behind Jed)

= 35-(5+1)

= 35-6=29

Hence, there are 29 people are in front of Jed.

7 0

3 years ago