The standard form of the equation of a parabola is y=1/2x^2 - 4x+21. What is the vertex form of the equation?

Answer:

The expression is: [tex]\text{total thickness} = \text{cookie thickness} + \text{frosting thickness}[/tex]

The thickness of the cookie is: [tex]\frac{123}{100}[/tex] cm

Step-by-step explanation:

The cookie is formed by two layers, the cookie and the frosting. So if we want to know the total thickness of the cookie and frosting we need to sum the thickness of each layer as shown below:

[tex]\text{total thickness} = \text{cookie thickness} + \text{frosting thickness}\\\text{total thickness} = \frac{9}{10} + \frac{33}{100}\\\\\text{total thickness} = \frac{10*9 + 33}{100}\\\\\text{total thickness} = \frac{123}{100} \text{ cm}[/tex]

The expression is: [tex]\text{total thickness} = \text{cookie thickness} + \text{frosting thickness}[/tex]

The thickness of the cookie is: [tex]\frac{123}{100}[/tex] cm

Reasoning:

'a' is less than 0, so we write a < 0

Since a < 0, this means a^4 > 0. Raising a negative to an even exponent will make the result positive. Example: (-2)^4 = 16

Applying the cube root to some positive number leads to some other positive number.

So far we see that the expression    a^(4/3)   is positive

The final result however is negative because the negative out front flips things from positive to negative.

It turns out it doesn't matter if 'a' is positive or negative. As long as 'a' is nonzero, then   -a^(4/3)   is negative. If a = 0, then the whole thing is 0.

Answer:

[tex]x^{7}[/tex]

Step-by-step explanation:

= [tex]x^{5} * x^{2}[/tex]

When bases are same, powers are to be added

= [tex]x^{5+2}[/tex]

= [tex]x^{7}[/tex]

Answer:

-5/3

Step-by-step explanation:

Answer:

The correct options are (1), (2) and (4).

Step-by-step explanation:

If the cross-section of a right rectangular prism parallel to its base then the cross section is a rectangle.

If the cross section of a right rectangular prism perpendicular to its base then the cross section is a rectangle.

It is provided that a right rectangular prism has a rectangular base measuring 15 inches by 8 inches.

Then the right rectangular prism could have:

Thus, the correct options are (1), (2) and (4).

Answer:

                          A,C,D

                             or

Line WZ has the same slope as line XY.

Line XW has a lesser slope than line YZ.

Line ZW has the same y-intercept as line YZ.

Step-by-step explanation:

did it on edge 2020

Answer:

A C D

Step-by-step explanation:

BOYYYYYYYYYYYYYYYYYY

Answer: x = 5, y = 2

Step-by-step explanation

x = 0, x = 5

5 - 0 = 5

y = 1, y = 3

3 - 1 = 2

Answer: 8[tex]\sqrt{2}[/tex]

Step-by-step explanation:

8^2 + 8^2 = c^2

64 + 64 = c^2

128=c^2

[tex]\sqrt{128}[/tex]  

[tex]\sqrt{4 * 32}[/tex]  

2[tex]\sqrt{4 * 8 }[/tex]

2* 2 [tex]\sqrt{4 * 2}[/tex]

4 * 2[tex]\sqrt{2}[/tex]

8 [tex]\sqrt{2}[/tex]

For anyone here who comes from edge.

Consider the reduction of the complex figure with a scale factor of 1 /7 . What is the area of the reduced figure?

The answer is A ; 25 mm2. I got it right on edge

Answer:

(A) 1(B) 3 (C) 2(D) 4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

No it isn't a function one of the x values, -3, repeats

Step-by-step explanation:

Answer:

[tex]\frac{9}{10}[/tex]

Step-by-step explanation:

Let the fraction be [tex]\frac{x}{y}[/tex].

That would mean:

(1)    x+y = 19

&

(2)    y+8 = 2x or 2x = y+8

In order to use substitution, we multiply equation by 2:

(3)   2x+2y = 38

Then we substitute equation (2) into (3):

y+8 + 2y = 38

3y + 8 = 38

3y = 30

y = 10

Substitute this into equation (1)

x + 10 = 19

x = 9

Therefore the fraction would be:

[tex]\frac{9}{10}[/tex]

Answer:

9/10

Step-by-step explanation:

let the fraction be x/y.

x+y=19

x/y+8=1/2

solve simultaneously

y=2x-8

y=19-x

2x-8=19-x

3x=27

x=9

y=10

Answer:

[tex]\fbox{\begin{minipage}{4em}36 ways\end{minipage}}[/tex]

Step-by-step explanation:

Step 1: Re-state the problem in an easier way to set up a permutation problem

"The numbers 1,6,8,13,15,20 can be placed in the circle below, each exactly once, so that the sum of each pair of numbers adjacent in the circle is a multiple of seven"

The series above can be represented again, in form of:

7a + 1, 7b - 1, 7c + 1, 7d - 1, 7e + 1, 7f - 1

with a, b, c, d, e, f are non-negative integers.

=> 3 numbers are multiply of 7 plus 1

=> 3 numbers are multiple of 7 minus 1

Step 2: Perform the counting:

For the 1st number, there are 6 ways to select

To satisfy that each pair of numbers creates a multiple of 7, then:

For the 2nd number, there are 3 ways left to select

For the 3rd number, there are 2 ways left to select

For the 4rd number, there are 2 ways left to select

For the 5th number, there are 1 way left to select

For the 6th number, there are 1 way left to select

=> In total, the number of possible ways to select:

N = 6 x 3 x 2 x 2 x 1 x 1 = 72

However, these numbers are located around a circle, each option is counted twice.

=> The final number of possible ways:

N = 72/2 = 36

Hope this helps!

:)

Answer:

please give more clarification

Answer:

A. Obtuse

Step-by-step explanation:

Supplementary Angles: either of two angles whose sum is 180°

Adjacent: have a common side, a common vertex, and don't overlap

If he gets 25% of his sales, and he makes $175, that means $175 is it 25% of his sales.

Answer:

4 units

Step-by-step explanation:

Length would be 6 units and width would be 4 units

6*4 = 24 proving my claim to be true

Answer:

Width = 4 units

Step-by-step explanation:

Let us pose the width as w, and the length as l. If the length is 2 units greater than the width, consider the following;

[tex]l = 2 + w,\\\\w = width,\\l = length[/tex]

The area of this rectangle can be determined through length * width / l * w, and is given to be 24 square units. We can say l = 2 + w instead, solving for the width ( w );

[tex]( 2 + w ) * w = 24,\\2w+w^2=24,\\\left(w-4\right)\left(w+6\right)=0,\\w = 4, w = - 6\\\\Solution - width = 4 units[/tex]

As the width couldn't be a negative value, we had to take the positive of 4 and - 6, which was 4 units.

Answer:

72.8%

Step-by-step explanation:

1729 / 2375 = 0.728 -> 72.8%

Answer:

72.8 %

Step-by-step explanation:

£2375 ............ 100%

£1729 ...................x%

x = £1729×100%/£2375 = £172900/£2375 = 72.8 %

al3xis

Answer:

x= -1

Step-by-step explanation:

Solving through linear equation,

-0.1x + 3/10= 4/10

Bring 3/10 to the other side making it minus

-0.1x = 4/10 - 3/10

-0.1x = (4-3)/10

-0.1x= 1/10

Bring -0.1 to the other side n divide

x= 1/10 ÷ -0.1

( Note that -0.1 is the same as -1/10)

x = 1/10 ÷ -1/10

= 1/10*-10/1

= -10/10

= -1

Answer:

c. 412.5 cm^2

Step-by-step explanation:

first triangle: 5 x 15 = 75

75/2 = 37.5

rectangle:  15 x 19 = 285

triangle 2: 15 x 12 = 180

180/2 = 90

37.5 + 285 + 90 = 412.5

Answer:

[tex]-1[/tex]

Step-by-step explanation:

[tex]6 - y + 3[/tex]

[tex]-y+3+6[/tex]

[tex]-y+9[/tex]

A coefficient is a number that is used to multiply with a variable.

[tex]-y=-1y[/tex]

[tex]-1y+9[/tex]

Answer:

2/9

Step-by-step explanation:

If the bakery sold 4 brownies and 14 other desserts, then they sold a total of +14=18 desserts. This means that the experimental probability that the next dessert is a brownie is 4/18=2/9. Hope this helps!

Answer:

She needs  cups of flour for each batch of cookies.

Step-by-step explanation:

Step-by-step explanation:

A baker needs a total  cups of flour to make four batches of cookies.

We have to calculate how much flour she needs for each batch of cookies.

Let the flour needed for one batch be f, so the expression would be

f × 4 =

First we convert mixed fraction to proper fraction.

f × 4 =

f =

=  ×  =

Now we convert this proper fraction to mixed fraction.

=

She needs  cups of flour for each batch of cookies.

Answer:

she needs 3 1/3 of a cup

Step-by-step explanation:

I have finished the test

EDGE 2021

Answer:

5026.55

Step-by-step explanation:

A=πr2=π·402≈5026.54825ft²

Answer: 50

Step-by-step explanation:

2 of Spades: There's only one 2 of spades card in the deck, so the probability of choosing the 2 of spades is 1/52.

A Jack: There are 4 Jacks in the deck, so the probability of choosing a jack is 4/52, or 1/13.

A red King: There are 2 red kings in the deck, so the probability of choosing one is 2/52, or 1/26.

A Diamond suit: There are 13 diamond cards in the deck, so the probability of choosing one is 13/52, or 1/4.

Answer:

Its D

Step-by-step explanation: