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Crazy boy [7]
3 years ago
6

Find a number that is 15 more than 4 times its opposite

Mathematics
1 answer:
svetlana [45]3 years ago
6 0
X - the number

x=4\cdot(-x)+15\\
x=-4x+15\\
x+4x=15\\
5x=15\\
x=3
You might be interested in
Do you agree with the statement that " cubic functions must have at least 1 x-intercept but not more than 3, whereas quadratic f
vladimir2022 [97]

Answer:

Yes, I agree

Step-by-step explanation:

For the cubic function

A cubic function is represented as:

f(x)=ax^3+bx^2+cx+d

A cubic function may have 1, 2 or 3 x intercepts. This is shown below

For 3 x intercepts

y = x^3 - x

Equate y to 0

x^3 - x = 0

Expand

x(x^2 - 1) = 0

Express x^2 - 1 as difference of two squares

x(x - 1)(x +1 ) = 0

<em>x = 0 or 1 or -1</em>

For 2 x intercepts

y = x^3 - x

y  =(x-5)^2)(x+7)

Equate y to 0

(x-5)^2(x+7) = 0

Expand

(x-5)(x-5)(x+7) = 0

<em>x= 5 or x = -7</em>

For 1 x intercept

y = x^3

Equate y to 0

x^3 = 0

Take cube roots of both sides

x = 0

It has been shown above that a cubic function may have 1, 2 or 3.

So, I agree to the statement

For the quadratic function

A quadratic function will not have any x intercept when the function can not be factorized;

E.g.

y = x^2 + x + 17

<em>The above function has no x intercept.</em>

A quadratic function will have at least 1 x intercept when the function can be factorized;

E.g.

y = x^2- 6x + 9

Equate y to 0

x^2- 6x + 9 = 0

Expand

x^2 - 3x - 3x + 9 = 0

(x - 3)(x-3) = 0

x = 3

We've shown that a quadratic may have no x intercept, and it may also have x intercept(s)

Hence, I agree to both statement

3 0
2 years ago
Julia and Rodney decided to invest 15% of their salaries.The table shows their principal balance,interest rate,and type of inter
Masja [62]
On the account with interest compounded annually, the account balance will be
  P*(1 +r)^t
  4500*1.06³ = 5358.57
so the interest earned will be
  5358.57 -4500 = 859.57

On the account with simple interest, the interest earned will be
  I = Prt
  I = 4500*.06*3
  I = 810.00

The total interest earned on the two accounts will be
  $859.57 +810.00 = $1669.57 . . . . . . . . selection A
6 0
3 years ago
I need to find the distance between these two points:
FromTheMoon [43]
I hope this helps you

8 0
3 years ago
Use the relationships in the diagram to find the value of C<br> 520<br> d<br> 379<br> 63
Brut [27]

Answer:

c = 154°

Step-by-step explanation:

I Hope this helps.

7 0
2 years ago
PLEASE HELP IVE BEEN STUCK ON THIS ONE FOR QUITE A WHILE.<br>​
Crazy boy [7]

Answer:

I believe it might be C. -3

7 0
2 years ago
Read 2 more answers
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