Janine sketched a quick graph. "Looks like the solution is (-30, -91)." Is she right? How do you know? Be

Five packages A, B, C, D, and E are shipped out. The values below represent the

Mariulka [41]

If it's likely to happen, but it's not a certainty, then it has a high chance of happening. Pick P(D).

4 0

2 years ago

Solve for x. 4 | x - 7 | + 2 | x - 7 | = 12

miv72 [106K]

Answer: x = 9, 5

Step-by-step explanation:

4 | x - 7 | + 2 | x - 7 | = 12

6 | x - 7 | = 12 added like terms

| x - 7 | = 2 divided both sides by 6

x - 7 = 2 or x - 7 = -2 removed absolute value sign

x = 9 or x = 5 added 7 to both sides of both equations

7 0

4 years ago

what is the equation in point slope form of the line that passes through the piont (2, 6) and has a slope of 5? A. y + 2 = 5 (x

Gnesinka [82]

Hello from MrBillDoesMath!

Answer: B.

Steps:

The point slope form of a line passing through point (x1,y1) with slope "m" is

y - y1 = m (x - x1)

In our case (x1,y1) = (2,6) and m = 5. Substituting these values in gives

y - 6 = 5 (x -2)

which is choice B.

Regards, MrB

4 0

3 years ago

mr. ken's class is collecting empty water bottles. they started with 17 water bottles on day 1. on day 3, they had 30 water bott

Oxana [17]

They had 23 and 38 water bottles on day 2 and day 4 respectively. Also, there will be 68 water bottles on day 7.

Explanation

Suppose, the equation representing the number of bottles is $y= ax^2 +bx+c$ , where $x$ is the number of days.

There are 17 water bottles on day 1, 30 water bottles on day 3 and 47 water bottles on day 5

So, the three points in the form of (x, y) are: (1, 17) , (3, 30) and (5, 47)

Plugging these three points into the above equation, we will get .....

$17=a(1)^2 + b(1) +c\\ a+b+c=17 ............................ (1)\\ \\ 30=a(3)^2+b(3)+c\\ 9a+3b+c=30 ......................... (2) \\ \\ 47=a(5)^2+b(5)+c\\ 25a+5b+c=47 ......................... (3)$

Subtracting equation (1) from equation (2) , we will get .....

$8a+2b=13 ..................... (4)$

Subtracting equation (2) from equation (3) , we will get .....

$16a+2b=17 ...................... (5)$

Now, subtracting equation (4) from equation (5) , we will get ......

$16a -8a = 17-13\\ \\ 8a= 4\\ \\ a=\frac{4}{8}= 0.5$

Substituting this $a= 0.5$ into equation (4) ........

$8(0.5)+2b=13\\ \\ 4+2b=13\\ \\ 2b=9\\ \\ b=\frac{9}{2}=4.5$

Again, substituting $a=0.5$ and $b=4.5$ into equation (1) , we will get ......

$0.5+4.5+c=17\\ \\ 5+c=17\\ \\ c=17-5 =12$

So, the equation will be now: $y= 0.5x^2 +4.5x+12$

For finding the number of bottles on day 2 , day 4 and day 7 , we need to plug $x=2 , 4, 7$ respectively into the above equation.

For $x= 2$ , $y= 0.5(2)^2 +4.5(2)+12 = 2+9+12= 23$

For $x= 4$ , $y= 0.5(4)^2 +4.5(4)+12 = 8+18+12= 38$

For $x= 7$ , $y= 0.5(7)^2 +4.5(7)+12 = 24.5+31.5+12= 68$

So, they had 23 water bottles on day 2 and 38 water bottles on day 4

Also, there will be 68 water bottles on day 7

6 0

3 years ago

3 to the 4th power + 2 ⋅ 5 =

Mandarinka [93]

Hello,

The answer is "x=91".

Reason:

First write the equation:

3^4+2*5=

Now use PEMDAS:

E goes first:

3^4=3*3*3*3=81

81+2*5

M goes next:

2*5=10

81+10=

Now use A:

81+10=91

x=91

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

4 0

3 years ago