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3 years ago

There are 15 people in a room. Each person ate 2 of a pizza. There was no 3 pizza remaining. How many pizzas were in the room?

Mathematics

1 answer:

irinina [24]3 years ago

7 0

Answer:

33 slices

Step-by-step explanation:

15 times 2 plus 3

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In-s [12.5K]

Answer:

5x^7y^11.

Step-by-step explanation:

∛(125x^21 y^33)

The cube root = 'to the power 1/3' so we have:

125^1/3 * x^(21*1/3) * y^(33*1/3)

5x^7y^11.

6 0

3 years ago

Sasha borrows $100 at 12% simple interest, to be paid back in one year . How much does she pay back

amid [387]

Answer:

$289 I think

Step-by-step explanation:

$289 I think

sorry if I am wrong

8 0

3 years ago

I provided the answers I just need you to show work. I’ll even mark you the Brainliest!

Sindrei [870]

The intercepts and the graph on your worksheet are not correct. Please see below for details:

$x^2-2x-3=0$ has solutions at x=-1 and x=3 (use the quadratic formula to solve). That means these are the x-intercepts, namely points:

(-1,0) and (3,0).

The y-intercept comes from setting x=0 and calculating the y value:

$y=0^2-2\cdot0-3=-3$

so the y-intercept is (0,-3).

Now to the graph: Based on the form of the function we can see this is a quadratic function and its graph will be a parabola. You can reformat the expression in the following form

$y = x^2-2x-3=(x-1)^2-4$

and that will indicate that the apex of the parabola (open up) will be at the point (1,-4).

Knowing the apex, the x intercepts, and the y intercept, we can graph it now.

Graph is in the image attached.

6 0

3 years ago

Solve the equation 3^(2x) -4*3^(x+1) + 27 = 0. use rules of exponents to change 3^(x+1)

Leviafan [203]

Answer:

$\huge\boxed{x=1\ \vee\ x=2}$

Step-by-step explanation:

$3^{2x}-4\cdot3^{x+1}+27=0\\\\\text{use}\ (a^n)^m=a^{nm}\ \text{and}\ a^n\cdot a^m=a^{n+m}\\\\\left(3^x\right)^2-4\cdot3^x\cdot3^1+27=0\\\\\left(3^x\right)^2-12\cdot3^x+27=0\\\\\text{substitute}\ 3^x=t>0\\\\t^2-12t+27=0\\\\t^2-3t-9t+27=0\\\\t(t-3)-9(t-3)=0\\\\(t-3)(t-9)+0\iff t-3=0\ \vee\ t-9=0\\\\t-3=0\qquad\text{add 3 to both sides}\\\boxed{t=3}\\\\t-9=0\qquad\text{add 9 to both sides}\\\boxed{t=9}$

$\text{We return to substitution:}\\\\3^x=t\\\\3^x=3\ \vee\ 3^x=9\\\\3^x=3^1\ \vee\ 3^x=3^2\\\\\boxed{x=1}\ \vee\ \boxed{x=2}$

4 0

3 years ago

8p + 2q = -16<br> 2p - q=2

yKpoI14uk [10]

Answer:

p = -1 q = -4

Step-by-step explanation:

a system of eq and solve for p and q ??? can do :)

Eq. 1) 8p + 2q = - 16

Eq. 2) 2p - q = 2

use Eq .2 and solve for q

2p - 2 = q

plug into Eq.1 with q

8p +2(2p - 2) = - 16

8p +4p -4 = -16

12p = - 12

p = -1

plug -1 into Eq. 1 for p and solve for q

8(-1) + 2q = - 16

-8 + 2q = - 16

2q = -8

q = -4

8 0

3 years ago