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3 years ago

What is 5(-3k+5)=-4K+k+1

Mathematics

1 answer:

adell [148]3 years ago

5 0

Answer:

<h2>K = 2 respectively</h2>

Step-by-step explanation:

Since "K" is on the right side of the equation, switch the sides so it is on the left side of the equation. Simplify 5(-3k+5). Move all terms containing "K" to the left side of the equation. Move all terms not containing "K" to the right side of the equation. Divide each term by 12 and simplify. So, "K" = 2.

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Is the function f(x) =(4)^x -2 an exponential function. If so, identify the base. If not, why not?

Ne4ueva [31]

Answer:

Yes.

Base: 4

Step-by-step explanation:

Since we have 4 to the power of x, we do indeed have an exponent. The -2 just signifies vertical movement down.

7 0

3 years ago

After being rearranged and simplified, which of the following equations could be solved using the quadratic formula?

Alecsey [184]

For this case we must indicate which of the equations shown can be solved using the quadratic formula.

By definition, the quadratic formula is applied to equations of the second degree, of the form:

$ax ^ 2+ bx+ c = 0$

Option A:

$2x ^ 2-3x +10 = 2x + 21$

Rewriting we have:

$2x ^ 2-3x-2x+ 10-21 = 0\\2x ^ 2-5x-11 = 0$

This equation can be solved using the quadratic formula

Option B:

$2x ^ 2-6x-7 = 2x ^ 2$

Rewriting we have:

$2x ^ 2-2x ^ 2-6x-7 = 0\\-6x-7 = 0$

It can not be solved with the quadratic formula.

Option C:

$5x ^ 2 + 2x-4 = 2x ^ 2$

Rewriting we have:

$5x ^ 2-2x ^ 2 + 2x-4 = 0\\3x ^ 2 + 2x-4 = 0$

This equation can be solved using the quadratic formula

Option D:

$5x ^ 3-3x + 10 = 2x ^ 2$

Rewriting we have:

$5x ^ 3-2x ^ 2-3x + 10 = 0$

It can not be solved with the quadratic formula.

Answer:

A and C

4 0

3 years ago

Read 2 more answers

Please help me write quadratic equation given the roots and the leading coefficient

Pie

Answer:

Example Question: f(x) = 2x^2 + 2x - 1

If the leading coefficient is positive, the graph will be opening up (U) if the leading coefficient is negative, the graph will be opening down (n)

Roots are the x-intercepts that help find the axis of symmetry (add the two roots together and divide the result by 2 to get the axis of symmetry)

To find the vertex, simply imput the axis of symmetry into the given equation.

And that’s about it.

Step-by-step explanation:

I don’t know what you’re asking for??

5 0

2 years ago

Which of the following is a perfect square trinomial?

shutvik [7]

Answer:

Step-by-step explanation:

Take a look at what happens when squaring either of these...

$(ax-by)^2=(ax-by)(ax-by)=a^2x^2-2abxy+b^2y^2\\\\(ax+by)^2=(ax+by)(ax+by)=a^2x^2+2abxy+b^2y^2\\$

Notice a couple of patterns.

1. The last term has a positive coefficient. That rules out answer choices C and D.

2. The coefficient of the middle term is either $+2ab \text{ or } -2ab$ . So what are a and b? a is the square root of the x^2 term and b is the square root of the y^2 term.

$25x^2 \Rightarrow a=5\\\\9y^2 \Rightarrow b=3\\\\ab=15\\\\2ab=30$

The middle coefficient needs to be either +30 or -30. The answer is choice A.

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3 years ago

Can an absolute value equal a negative?

Montano1993 [528]

The distance of it away from zero cannot be a negative distance, distance is always positive therefor the absolute value will always be positive.

Short answer: no, absolute value is always positive

I hope this helps :)

7 0

3 years ago