simplify 10^7*10^5 Thank you

Answer:

(3, 0 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c (a ≠ 0 )

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = 5x² - 30x + 45 ← is in standard form

with a = 5, b = - 30 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{-30}{10}[/tex] = 3

Substitute x = 3 into the function for corresponding value of y

y = 5(3)² - 30(3) + 45 = 45 - 90 + 45 = 0

vertex = (3, 0 )

Answer:

Vertex is (3,0)

Step-by-step explanation:

Given y= 5x^2 - 30x + 45

         y    = 5 ( x^2 - 6x + 9)

               = 5 ( x -3 )^ 2 + 0

Standard formula of parabola is y = a(x - k)^2 + k where vertex is (h,k)

Here, h = 3 and k = 0

So,  Vertex is ( 3, 0)

Answer:

180

Step-by-step explanation:

half of 360 is 180

Answer: 4(9y-4)

Step-by-step explanation:

36y - 16

4 x 9 is 36

4(9 is just like 36y.

Answer:

7, 7 1/8, 7 3/8, 7 5/8, 7 3/4, 8, 8 1/4, 8 1/2, 8 7/8

Step-by-step explain:

7 is the smallest number in the given numbers. 7 1/8 is the second smallest because 1/8 is smaller than 1/4. You can also think of it like you have a pizza/pie/cake and 1/8 of that cake is 1 piece of the cake that has 8 pieces in total. 1/4 on the other hand is a bigger piece. You can use this information to figure out future problems. 1/4 is the same as 2/8. In other words, 1/4 is equal to 2 slices of pie/cake/pizza/whatever you want it to be because if you take a cake, cut it into 4 pieces, then cut the 4 pieces in half. You will get 8 pieces.

Answer:

4

Step-by-step explanation:

Hope this helps! : )

2(3g - 4) - (8g + 3)

Distributive property

6g - 8 - 8g - 3

Combine like terms

-2g - 11

Answer:

4

Step-by-step explanation:

2(3g-4)-(8g+3)

6g-8-8g-3

-2g-11

Answer:

56 (positive, not negative)

Step-by-step explanation:

she will pay off the debt from the original amount she owed using part of the $100. With the debt being payed off , the remainder will be $56.

in other words ;

100+54= 56.

Henceforth , the number 56.

thank you!

Answer:

The first step would be canceling out the eight getting you 4x = 28 and the solution would be x = 7

Step-by-step explanation:

To simplify you need to add the eight to itself to cancel it out but you have to do it to the 20 too making it 28. Then you have to divide 28 by 4 getting you 7.

Answer:

50/50 chance

Step-by-step explanation:

Answer:

f(x)=(x-2)(x+2)(x-4)

Answer:

5

Step-by-step explanation:

Take the cubed root of 125. In other words what number is multiplied by itself three times to get 125.

5x5x5= 125

Answer:

Step-by-step explanation:

Find solutions on the web

Factor using difference of cubes and set each factor equal to  

y=5,

Answer:

x=66

y=-57

Step-by-step explanation:

Answer:

x=4.2

Step-by-step explanation:

7.8x  =   32.76

/7.8          /7.8

x=4.2

Answer:

Step-by-step explanation:

Point( -4 , 1)  ; slope = m = 5

Point-slope form:

y - y1 = m(x -x1)

y - 1 = 5(x - [-4])

y - 1 = 5(x + 4)

y - 1 = 5x + 5*4

y - 1 = 5x + 20

    y = 5x + 20 + 1

   y= 5x + 21

Answer:

y = -3

Step-by-step explanation:

2y + 6 = 0

2y = -6

y = -3

Since it's just y = -3, there is NO SLOPE and it's just one straight line going horizontally.

So just pick the graph where it's a horizontal line that only goes through the y-axises of -3 (i.e (0, -3), (1, -3), and etc)

Answer:pink

Step-by-step explanation:

Answer:

-3 and -5

Step-by-step explanation:

because two negatives equal a positive

idek if this is correct

sorry if its not

Answer:It's simple. All you need to do is subtract 2 from 40.

Step-by-step explanation: Length: 40 ft

Width: 38 ft

Hopefully that helped!

Answer:

C

Step-by-step explanation:

16's square root is 4

Answer:

Mean: 43.43

Median: 42

Step-by-step explanation:

Answer : The answer is 15/11 but you can simply this fraction which makes it to a decimal which would be 1.36 ( 36 is repeating )

Answer:

Step-by-step explanation:

Points given:

Find the slope using slope formula:

Equation of the line in slope-intercept form:

Given:

The line is:

The y-intercept is the intersection of the line with the y-axis:

To find the slope select two points and use the slope formula as shown above.

Points (0, -1) and (1, 1), the slope is:

The line is:

Answer:

6 + (t x 2) = 33

T = Ticket Cost

6 - 6 + (t x 2) = 33 - 6

t x 2 = 27

t x 2/2 = 27/2

t = 13.5

Each ticket cost 13.50$

================================================

Explanation:

To get the LCM (lowest common multiple) of 8 and 10, we can multiply the two values together to get 8*10 = 80, then we divide by the GCF (greatest common factor) which is 2 to get to the LCM of 80/2 = 40.

While 80 is a common multiple of 8 and 10, it is not the smallest such value. That would be 40. So that's why we divided by 2.

Another route we can take is to list out the multiples of 8 and 10 like so

as shown in bold above, the value 40 is in both lists and it is the smallest such common item.

So this tells us that the last two digits are 4 and 0 in that order.

--------------

The GCF of 30 and 75 is 15 since we can say

30 = 15*2

75 = 15*5

Note how the 2 and 5 have no other factors in common, other than 1. This helps us see how 15 is the largest shared factor. So the first two digits are 1 and 5 in that order.

Overall, the four digit code is 1540.

Answer:

5, (0, -2)

6, (4, 9)

Step-by-step explanation:

Answer:

 point (-2,11)  does not lie on the given line

Step-by-step explanation:

To find : Which of the following points does not lie on the line ?

Solution :

To determine the point lie on line or not we have to put points in equation if it satisfy then it lie otherwise not.

a) Point (1,8)

Line  y=3x+5

Substitute x=1 and y=8

8=3(1)+5

8=8

(1,8) point lie on the line.

b) Point (4,12)

Line y=3x+5

Substitute x=4 and y=17,

17=3(4)+5

17=12+5

17=17

(4,17) point does not lie on the line.

c) point (-2,11)

Line y=3x+5

substitute x=-2 and y=11

11=3(-2)+5

11=-6+5

11 is not equal to -1

d) Point(0.5)

Line y=3x+5

Substitute x=0 and y=5

5=3(0)+5

5=5

Answer:

n=10

Step-by-step explanation: