$4(k+5)=2(9k-4)\qquad|\text{use distributive property}\\\\(4)(k)+(4)(5)=(2)(9k)+(2)(-4)\\\\4k+20=18k-8\qquad|\text{subtract 20 from both sides}\\\\4k=18k-28\qquad|\text{subtract 18k from both sides}\\\\-14k=-28\qquad|\text{divide both sides by -14}\\\\\boxed{k=2}\to\boxed{d.}$

6 0

3 years ago

Solve the system by Substitution

dusya [7]

Answer:

(-1,0)

Step-by-step explanation:

I used a graphing calculator and that is the solution

4 0

3 years ago

Martha wrote an example of a quadratic function for a homework assignment. The function she wrote is shown. f(x) = 5x3 + 2x2 + 7

Wittaler [7]

Answer:

The first term, 5x^3, can be eliminated.

The exponent on the first term, 5x^3, can be changed to a 2 and then combined with the second term, 2x^2

Step-by-step explanation:

The highest degree allowed in a quadratic function is 2, so the third degree term (the first term) needs to be eliminated or changed. The change shown above is one of many possibilities.

3 0

4 years ago

Find the value of C that completes the square

MatroZZZ [7]

Answer:

Step-by-step explanation:

y^2-22y+c

complete the square ax^2+bx+c is our old formula quadratic equation

we know that to find c we will divide b/2 and square it

22/2=11

c^2=121

we have y^2-22y+121

6 0

3 years ago