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Question 1: 11 pts
Find the vertex of the parabola y = x2 - 10x + 16.
A. (-5,91)
B. (-9,5)
C. (5,-9)
D. (8,0) and (2,0)

Answer:

A. 18

B. -3

C. 3

D. -9

Step-by-step explanation:

Simplify:

A. -9(-2) <== when multiplying two negatives, they make a positive

-9(-2) = 18

B. -9(+6)

-9(+6) = -3

C. -9/-3 <== when dividing two negatives, they make a positive

-9/-3 = 3

D. 9/-1​ <== when dividing a # with a negative, it makes a negative

9/-1​ = -9

Hope this helps!

Answer:

8*(3x-4y)

Step-by-step explanation:

Just did the test

The conversion of area units results in:

For converting units of area, it is necessary to know the conversion factors and relate the units. For the units of area,  each unit is 100 times larger than the previous. See below the relationship between the meter and the other units

1km²=1 000 000 m²=[tex]10^6[/tex] m²

1 hm²= 10 000 m²= [tex]10^4[/tex] m²

1 dam²=100 m²= 10² m²

1 m² =1 m²= 1 m²

1 dm²=0.01 m²= [tex]10^{-2}[/tex] m²

1 mm²=0.000001 m²= [tex]10^{-6}[/tex] m²

Now, you have the necessary information for converting the units.

        [tex]1 cm^2 =10^{-4}m^2\\ 230000= x\\ \\ x= 230000 * 10^{-4}\\ \\ x=23 \;m^2[/tex]

       [tex]1 cm^2 =10^{-4}m^2\\ 400000= x\\ \\ x= 400000* 10^{-4}\\ \\ x=40\;m^2[/tex]

      [tex]1 cm^2 =10^{-4}m^2\\ 60000= x\\ \\ x= 60000* 10^{-4}\\ \\ x=6\;m^2[/tex]

         [tex]1 cm^2 =10^{-4}m^2\\ x= 15 \\ \\ 10^{-4}x= 15\\ \\ x=15*10^4\\ \\x= 150\;000\;cm^2[/tex]

         [tex]1 cm^2 =10^{-4}m^2\\ x= 120\\ \\ 10^{-4}x= 120\\ \\ x=120*10^4\\ \\x= 1\;200\;000\;cm^2[/tex]

         [tex]1 cm^2 =10^{-4}m^2\\ x= 16\\ \\ 10^{-4}x= 16\\ \\ x=16*10^4\\ \\x= 160\;000\;cm^2[/tex]

Read more about the area here:

https://brainly.com/question/3402810

Answer:

59.319

Step-by-step explanation:

V=a3=3.93≈59.319

Answer:

2

Step-by-step explanation:

Answer:

The answer is 8

Step-by-step explanation:

If n = 8 and m = 3, 8 - 3 = 5.

40 ÷ 5 = 8

Hope this helps

Answer: 0.9

Step-by-step explanation:

[tex]\mathrm{Total \ sample \ space \ $=100$} \\\mathrm{Event \ $A = \ taking \ subway \ each \ day}$$P(A)=0.85$$Event $B=$ taking taxi $\because P(B)=0.6$$$P(A \cap B)=0.55$$[/tex]

[tex]\begin{aligned}P(A \cup B) & \Rightarrow \text { Person taking either taxi/subway } \\&=P(A)+P(B)-P(A \cap B) \\&=(0.85-0.555)+(0.6-0.55)-0.55 \\&=1.45-0.55\\&\bf{=0.9} \end{aligned}[/tex]

Answer:
since its a triangle then angles have to be 90 (the right angle) and 50 (which is given)
180-90-50 = 40
Answer = 40

Step-by-step explanation:

The number of rectangular prism container that would be set on the shelf is: 4.

Volume of rectangular prism = length × width ×height

Given the following:

Find the length of one rectangular prism using the volume formula since volume for one prism = 45 in.³

45 = length × 9

length = 5 in.

Each rectangular prism container is 5 in. long, therefore, the number of the containers that can be set on the shelf that is 24 in. long, if the 4.5 in by 2 in. face touches each other = 24/5 = 4.8.

The fifth container won't fit in. Therefore, the number of rectangular prism container that would be set on the shelf is: 4.

Learn more about rectangular prism on:

https://brainly.com/question/1015291

Answer:

2 hours

Step-by-step explanation:

4.5 - 2.5 = 2

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Answer: point M

Step-by-step explanation:

Answer: point M

i took the test

Answer:

The roots you found should be [tex](3x-4)(x+1)=0[/tex], which shows that [tex]x = \frac{4}{3} \\ x=-1[/tex]

Step-by-step explanation:

You likely messed up when trying to one or both of the roots back into the equation.

Answer:

14.01 and 107

Step-by-step explanation:

First let’s review what all the crodile mouths mean:

< = # is less than the # on the right

> = # is more than the # on the right

≤ = # less than or equal to # on the right

≥ = # is greater than or equal to # on right

Equation:

y ≥ 14

To make this true on the values that are greater than or equal to 14 can go.

This means that these values would be correct out of the options:

14.01

107

Furthermore, 13 and 10 don’t make the equation true because neither are greater than or equal to the value 14.

Answer: 6

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

[tex]\frac{-8}{1}[/tex] * [tex]\frac{-5}{4}[/tex]= [tex]\frac{40}{4}[/tex]= 10

Answer:

r = ⅙

⅙ × ⅙ = 0.03

0.03 × 3 = 0.09

Answer: 40

Step-by-step explanation:

The angles form a straight angle, so y = 180 - 80 - 60 = 40.

Answer:

diameter is twice the radius ( when given)

Answer:

2 cartons

Step-by-step explanation:

Hey! To start, we need to determine what we already know, Martine needs 8 cups worth of broth, but can only find 32-fluid ounce cartons.

Next, we need to find what we need to know, how many fluid ounces are in a cup? There are 8 fluid ounces in 1 cup!

Now, all we need to do is convert our cups to be able to find out how many cartons we need! So, to do this, we are going to multiply our number of cups by the number of fluid ounces in just 1 cup (so 8!).

8 cups x 8 fluid ounces (per 1 cup) = 64 fluid ounces

So! Martina needs 64 fluid ounces of broth to be able to create her recipe!

But, we aren't finished just yet, as we need to find how many cartons Martina needs! Like we did before, we know that there a 32 fluid ounces in 1 carton so if we have 64 fluid ounces in the recipe, all we need to do is divide 64 by 32 to find out how many cartons we need!

64 fluid ounces (8 cups worth) ÷ 32 fluid ounces (per carton) = 2 cartons

Melina needs to buy 2 cartons of broth to be able to complete her recipe.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

area of trapezium=1/2 h(length 1+length2)

1/2*5*(13+6)

1/2*5*19

Answer:

Area = 47.5cm^{2}

Step-by-step explanation:

Area = 1/2 (a+b) × height

Area = 1/2 (6 + 13) × 5

  Area = 1/2 (19) × 5

    Area = 47.5cm^{2}

By solving a simple linear equation, we conclude that the length of the second lawn is 10 meters.

We know that one of the lawns is 5 meters long and 4 meters wide, then its area is:

A = 4m*5m = 20m^2

The other is two times as big, so its area is 40m^2 and has the same width as the first one (4 meters), so if we define the length as L we can write:

40m^2 = 4m*L

Solving for L we get:

(40 m^2)/4m = L = 10m

The length is 10 meters.

If you want to learn more about area, you can read:

https://brainly.com/question/24487155

Answer:

Step-by-step explanation:

Complementary angles add up to 90°

∠1 + ∠2 = 90°

66 + 2x = 90°

        2x = 90° - 66°

        2x = 24°

           x = 24/2

x = 12°

        ∠2 = 2*12

         ∠2 = 24°

Answer:

the answer is 7/12..

thank u

Answer:

mean = 9.2

median = 9

Step-by-step explanation:

mean = sum of data / number of data

mean = 2 + 5 + 9 + 11 + 19 / 5

= 46 / 5

= 9.2

median = middle number

= 9

Answer:

Given:

⇒ P(black ball) = 3/10 = 0.3

⇒ P(white ball) = 7/10 = 0.7

If one ball is chosen at random and replaced, the probabilities do not change between the first and second ball.

Let event D = first ball is black

Let event S = second ball is black

P(D) = 0.3

P(S) = 0.3  (since the first ball is replaced)

⇒ P(D ∩ S) = P(D) × P(S)

                   = 0.3 × 0.3

                   = 0.09

For Independent Events we know that:  P(A ∩ B) = P(A) × P(B)

Therefore, as P(D ∩ S) = P(D) × P(S) the events are independent.

Answer:

Mechanical

Step-by-step explanation:

Those ttype of machines build epic cars