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3 years ago

9(p-4)=-18 so what does p equal

Mathematics

2 answers:

erma4kov [3.2K]3 years ago

5 0

Answer:

p = 2

Step-by-step explanation:

9(p-4) = -18

Distribute:

9p - 36 = -18

Add 36 to both sides:

9p = 18

Divide by 9 on both sides:

p = 2

Serggg [28]3 years ago

4 0

Answer: p=2

Step-by-step explanation:

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3 years ago

Which statements about functions g(x) = x2 - 4x + 3 and f(x) = x2 - 4x are true? Select all that apply.

Tanya [424]

Answer:

A and B

Step-by-step explanation:

We are given that

$g(x)=x^2-4x+3$

$g(x)=(x^2-2\times x\times 2+4)-4+3=(x-2)^2-1$

Compare with it

$y=(x-h)^2+k$

Where vertex=(h,k)

We get

Vertex of g=(2,-1)

$f(x)=x^2-4x=(x^2-2\times x\times 2+4)-4=(x-2)^2-4$

Vertex of f=(2,-4)

Equation of axis of symmetry=x-coordinate of vertex

Axis of symmetry of g

x=2

Axis of symmetry of f

x=2

Differentiate w.r.t x

$g'(x)=2x-4=0$

$2x-4=0\implies 2x=4$

$x=\frac{4}{2}=2$

$f'(x)=2x-4$

$2x-4=0\implies 2x=4$

$x=\frac{4}{2}=2$

$g''(x)=2>0$

$f''(x)=2>0$

f and g have both minima at x=2

Hence, option A and B are true.

8 0

4 years ago

(9^3)^3 = ____<br><br> A) 9^0<br> B) 9^6<br> C) 9^9<br> D) 81

stepan [7]

<h2>Hello!</h2>

The answer is:

The correct option is:

C) $(9^{3})^{3}=9^{9}$

To solve the problem, we need to remember the power of a power property, it's defined by the following way:

$(a^{m})^{n}=a^{m*n}$

When we have a power of a power, we need to keep the base and then, the new exponent will be the product between the two original exponents.

So, we are given the expression:

$(9^{3})^{3}$

Then, calculating we have:

$(9^{3})^{3}=9^{3*3}=9^{9}$

Hence, we have that the correct option is:

C) $(9^{3})^{3}=9^{9}$

Have a nice day!

8 0

3 years ago

Read 2 more answers