All categories

2 years ago

The difference of the square of a number and 4 is equal to 3 times that number. Find the positive solution.

Mathematics

2 answers:

liberstina [14]2 years ago

8 0

Let the number be 'a':

The difference of the square of a number and 4

a^2 -4

is equal to 3 times that number.

= 3*a

a^2 -4 =3a

a^2 -3a -4=0

(a-4) (a+1)=0

solutions are: 4 and -1

aleksandr82 [10.1K]2 years ago

3 0

Step-by-step explanation:

1-4 just did this\

You might be interested in

What is the arc length of an arc with radius 10 in and central angle 60 degrees ? Show your work.

emmasim [6.3K]

Answer:

$\huge \boxed{ \boxed{ \red{{s \approx \: 10.47}}}}$

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

geometry
PEMDAS

<h3>tips and formulas:</h3>

$s = \frac{\pi {r} \theta}{180}$

<h3>given:</h3>

r=10
$\theta = 60$

<h3>let's solve:</h3>

$\sf sustitute \: the \: value s \: of \: \theta \: and \: r : \\ =\frac{\pi \times 10 \times 60}{180}$
$\sf rediuce \: 60 : \\ =\frac{\pi \times 10 \times \cancel{60} \: ^{1} }{ \cancel{180} \: \:^{3} } \\ =\frac{\pi \times 10}{3}$
$\sf use \: 3.14 \: for \: \pi : \\ = \frac{3.14 \times 10}{3}$
$\sf simplify \: multipication : \\ = \frac{31.4}{3} \\ \approx \: 10.47$

5 0

2 years ago

Geometry please help asap!

m_a_m_a [10]

Step-by-step explanation:

AB = 3

by similaritiy criterion

CE/ CB= ED/AB

4/6= 2/AB

AB = 3

plz mark my answer as brainlist plzzzz also vote me ..if you find it useful.

6 0

3 years ago

Need Help With Functions. Screenshot attatched

FinnZ [79.3K]

Answer:

4x² -29x +51

Step-by-step explanation:

Put x-3 where x is in the original function definition, then "simplify". I think you'll find it convenient to rewrite the original function definition first.

... g(x) = 4x² -5x = x(4x -5)

Substituting, we have

... g(x-3) = (x -3)(4(x -3) -5)

... = (x -3)(4x -17) . . . . . simplify right factor

... = 4x² -12x -17x +51

... g(x -3) = 4x² -29x +51

3 0

2 years ago

What is the sign of the product (3) × (−3) × (−2) × (4)?

Free_Kalibri [48]

Answer:

Positive, because the products (3) × (−3) and (−2) × (4) are negative and the product of two negative numbers is positive.

Step-by-step explanation:

Since 1 * -1 = -1, and -1 * -1 = 1, the product of opposite signs produces negative numbers while the product of same signs produces positive numbers. So the product of 1 * 1 * 1 * -1 = -1, while -1 * -1 * -1 * -1 = 1.

3 0

3 years ago

The line graph shows the number of goals scored

Neporo4naja [7]

Answer:

a) 1 game

b) 41 goals

c) median = 2

Step-by-step explanation:

As we can see in the line graph, where we have the 0 for the number of goals scored, the graph indicates only 1 in the number of games, so we have only 1 game where no goals were scored.

To find the total number of goals scored, we multiply the goals scored by the number of games for that score, and then sum them all:

total goals = 1*0 + 4*1 + 5*2 + 6*3 + 1*4 + 1*5 = 41 goals

To find the median, we put all the goals in crescent order, and then find the value in the middle. As we have 18 games, the middle value will be an average of the 9th and 10th terms.

We have 1 number 0, 4 numbers 1 and 5 numbers 2 in the beginning, so for these 10 numbers, the 9th and the 10th are the score 2, so the median is 2.

8 0

3 years ago