What is h(x) = –3x2 – 6x + 5 written in vertex form?
h(x) = –3(x + 1)2 + 2
h(x) = –3(x + 1)2 + 8
h(x) = –3(x – 3)2 – 4
h(x) = –3(x – 3)2 + 32

Answer:

Area =  

b1 + b2  ×h

2

=  

10 + 10  × 10

2

=  100 feet2

Step-by-step explanation:

Answer:

Ok so the way i see it lily would take $2 and $6 and multiply it by the price of the item say someone walks in and buy's a 5 letter's she'd first multiply 2x5 = 10 and then she'd multiply 6x5= 30 add the two 30 + 10 = 40.  If it isn't to much can you give me brainliest? if not a simple thanks will do!!!

~~ Night

Answer: lily would take $2 and $6 and multiply it by the price of the item say someone walks in and buy's a 5 letter's she'd first multiply 2x5 = 10 and then she'd multiply 6x5= 30 add the two 30 + 10 = 40. Brainliest?

Answer:

I think its -120m

Step-by-step explanation:

Coz negatives are less than positives

Answer:

37.68

Step-by-step explanation:

12 times 3.14

hope this helps

Answer:

113.04

Step-by-step explanation:

The diameter is 12 which means the radius is 6

The formula to find the area of a circle is A=π r²

r²=36

π=3.14

3.14×36=113.04

So your answer is 113.04

Answer:

x = -4

Step-by-step explanation:

x - 8 = 3x

First, subtract x from both sides:

x - 8 = 3x

-x        - x

________

-8 = 2x

Then, divide both sides by 2:

-8 = 2x

-4 = x

Answer: 24x^3 sqrt5x -4x^3 sqrt10x

Step-by-step explanation:

Show in the photo attached.

A set of data will not always have a mode.

A mode is defined as the value that appears the most often in a set.

For instance, a set of 1, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6 would have a mode of 4, as it appears more often than any other number in the set.

However, a set of 1, 2, 3, 4, 5, 6 has no mode as there is no number that appears more than other numbers in the set.

Answer:

8/4

Step-by-step explanation:

8/4 is equal to 2 and the others equal less than 1 1/2 and 2

Answer:

8/4

Step-by-step explanation:

8/4 is 2

8/6 is 1.333

9/6 is 1.5

5/7 is .7142

6/9 is .666

Answer:

1,000,000,000 as a power of 10, is: 10^12

Step-by-step Solution:

We can expand 1,000,000,000, and write this number as a multiplication sentence using only the number 10. By doing this, we can count the number of tens needed to be multiplied to get to his answer:

1,000,000,000 = 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10  

Since 10 is multiplied by itself 12 times, we can therefore say that 10^12 is equal to 1,000,000,000

Answer:

10^12 (10 to the 12th power)

Step-by-step explanation:

10 to the twelth power would basically be 10x10x10x10x10x10x10x10x10x10x10x10

This equals 1,000,000,000,000, which is one trillion.

Answer:

the answer is C

Step-by-step explanation:

Answer:

C) 4 (5+3)

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

Given: set of inequalities

To find: Points which do not satisfy all the inequalities

Solution:

For point [tex](15,0)[/tex]:

[tex]15\leq 30-3(0)=30\\15\geq 15-0=15\\15\leq 25-0=25\\15\geq 0\\0\geq 0[/tex]

So, (15, 0) satisfies all the inequalities

For point [tex](7.5,7.5)[/tex]:

[tex]7.5\leq 30-3(7.5)=30-22.5=7.5\\7.5\geq 15-7.5=7.5\\7.5\leq 25-7.5=17.5\\7.5\geq 0\\7.5\geq 0[/tex]

So, (7.5, 7.5) satisfies all the inequalities

For point (22.5,2.5):

[tex]22.5\leq 30-3(2.5)=30-7.5=22.5\\22.5\geq 15-2.5=12.5\\22.5\leq 25-2.5=22.5\\22.5\geq 0\\2.5\geq 0\\[/tex]

So, (22.5,2.5) satisfies all the inequalities

For point (7.5 ,0):

Put s = 7.5 and t = 0 in [tex]s\geq 15-t[/tex]

[tex]7.5\geq 15-0=15[/tex] which is false

So, [tex](s,t)\neq (7.5,0)[/tex]

Answer:

D.

Step-by-step explanation:

Answer:

height = 5

Step-by-step explanation:

If area = (1/2)bh, the equation would be 25 = (1/2)10h.

The first step I'd do is multiply both sides by 2 to get rid of the (1/2). So, now the equation is 50 = 10h.

Divide both sides by 10, and you get h = 5! :D

Answer:

Step-by-step explanation:

Given:

A= 25

b=10

Find the height:-

[tex]\sf A=0.5\:bh[/tex]

[tex]\sf 25=0.5(10)h[/tex]

[tex]\sf 25=5h[/tex]

[tex]\sf 5h=25[/tex]

[tex]\sf \cfrac{5h}{5}=\cfrac{25}{5}[/tex]

[tex]\sf h=5[/tex]

Hope it helps!

Answer:

80%

Step-by-step explanation:

75% + 20% - 15% = 80%

The probability is 80%

The probability that he or she buys a shirt or a pair of pants is 80%.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that in a clothing store, 75% of the customers buy a shirt, 20% of the customers buy a pair of pants, and 15% of the customers buy both the shirt and a pair of pants.

The percentage of customers who buy only shirt = 75% - 15% = 60%

The percentage of customers who buy only pant= 20% - 15% = 5%

The percentage of customers who buy both = 15%

Now, the probability that he or she buys a shirt or a pair of pants is,

Probability = 60% + 5% + 15% = 80%

Hence, the probability that he or she buys a shirt or a pair of pants is 80%.

Learn more about Probability:

https://brainly.com/question/795909

#SPJ2

Answer:

C. 120°

Step-by-step explanation:

There are two paralell lines, one is part of Angle B, and the other of Angle Q. Then there is a diagonal line, coming at the same angle from B all the way to Q, because the other two lines are paralell. It basically means if you were to slide the flat line which is connected to Q up the diagonal line, it would fit perfectly with it's parallel. So the two angles; Angle B and Angle Q; are the exact same.

Hope this helped! Good luck with future math problems :)

Answer:

The answer for this question is 120 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the system of equation,

y = [tex]\frac{2x}{3}+2[/tex]...(1)

6x – 4y = –10 ...(2)

Substituting equation 1 into 2 we have;

6x - 4(2x/3 +2)= -10

6x -8x/3 -8 = -10

Multiplying through by 3;

18x-8x-24=-30

10x=-30+24

10x = -6

Dividing both sides by 10

10x/10 = -6/10

x = -0.6

Substituting x = -0.6 into equation 1 to get the value of y we have;

y = 2(-0.6)/3 + 2

y = -1.2/3 + 2

y = -0.4+2

y = 1.6

This shows that the linear equation has only one solution. The solution is

x = -0.6 and y = 1.6

Answer:

its b

Step-by-step explanation:

hope this helped

Answer:

7 + 2, i cant see the full question so im not sure

Step-by-step explanation:

Answer:

b = 9

Step-by-step explanation:

A= 30°      a = 3[tex]\sqrt{3x}[/tex]

B =            b =

C = 90°     c =

find B first

90 + 30 = 120

180 - 120 = 60

B = 60°

Now, let's find b

use the Law of Sines

[tex]\frac{sin A}{a} = \frac{sin B}{b} \\\frac{sin 30}{3\sqrt{3} } = \frac{sin 60}{b}\\b = \frac{3\sqrt{3} sin 60 }{sin 30}\\b = 9[/tex]

Final answer:

The percent increase in the price of iceberg lettuce is 140%.

Explanation:

To find the percent increase, we need to calculate the difference between the price at which iceberg lettuce is grown and shipped and the price at which consumers purchase it, and then divide that difference by the original price and multiply by 100.

Let's start by finding the difference:

Difference = Consumer price - Production price

Difference = 120 cents - 50 cents = 70 cents

Now, let's calculate the percent increase:

Percent Increase = (Difference / Production price) * 100

Percent Increase = (70 cents / 50 cents) * 100 = 140%

Answer:

+30 + -25

Savings is positive

Buying is negative

Step-by-step explanation:

We save 30 dollars

+30

We buy a game for 25

-25

+30 -25

Savings is positive

Buying is negative

Answer:

Length of the other side of the backyard is 80.4 feet.

Step-by-step explanation:

Let the dimensions of the Liam's rectangular backyard = 85 feet × a feet

Diagonal of the rectangle, AD = 117 feet

When we apply Pythagoras theorem in ΔABD,

AD² = AB² + BD²

(117)² = (85)² + BD²

a² = 13689 - 7225

a = √6464

  = 80.399 feet

a ≈ 80.4 feet

Therefore, length of the other side of the backyard is 80.4 feet.

The probability of drawing a red ball from both urns is found by multiplying the probability of drawing a red ball from Urn I by the probability of drawing a red ball from Urn II. After simplification, the probability is [tex]\(\frac{77}{180}\)[/tex], which corresponds to answer choice D.

To calculate the probability of drawing a red ball from each of two urns, we must first determine the probability of drawing a red ball from Urn I, and then multiply that by the probability of drawing a red ball from Urn II. In Urn I, there are 14 red balls and a total of 24 balls (10 green + 14 red). So, the probability of drawing a red ball from Urn I is [tex]\(\frac{14}{24}\)[/tex].

In Urn II, there are 11 red balls and a total of 15 balls (4 green + 11 red). Hence, the probability of drawing a red ball from Urn II is [tex]\(\frac{11}{15}\)[/tex].

The joint probability of two independent events is the product of their individual probabilities, so to find the probability of drawing a red ball from both urns (P(red and red)), we multiply the two probabilities:

[tex]\(P(red \,\text{from Urn I}) \times P(red \,\text{from Urn II}) = \frac{14}{24} * \frac{11}{15}\)[/tex].

To simplify the calculation:

Therefore, the correct answer is D. 77/180.

Answer:

Step-by-step explanation:

because you go with you first answer bc its going to be right

Answer:

the hotel is four blocks west from the bus; the bus is four blocks east from the hotel.

The bus is 4 blocks east of the hotel.

Since a sightseeing bus picks up a group of tourists at a hotel, and it then travels 2 blocks north, 2 blocks east, 1 block south, 2 blocks east, and 1 block south, to determine where the bus is in relation to the hotel, the following calculation must be carried out:

Therefore, the bus is 4 blocks east of the hotel.

Learn more in https://brainly.com/question/17249312

Answer:

see below

Step-by-step explanation:

y=x^2-4x-12

Set equal to 0 to find the zeros

0 =x^2-4x-12

Factor.  What 2 numbers multiply to -12 and add to -4

-6*2 = -12  

-6+2 = -4

0= (x-6) (x+2)

Using the zero product property

0=x-6         0 = x+2

x=6            x = -2

zeros: -2,6

Vertex

h = -b/2a = - (-4)/ 2(1) = 4/2 = 2

OR  Average the roots  (-2+6)/2 = 4/2 =2

The y coordinate is found by substituting into the equation

y = (2)^2 -4(2) -12

y = 4-8-12

y =-16

vertex : (2, -16)

Answer:

x = -2, 6

Vertex: (2,-16)

Step-by-step explanation:

x² - 4x - 12

x² - 6x + 2x - 12

x(x - 6) + 2(x - 6)

(x - 6)(x + 2) = 0

x = -2, 6

h = -(-4)/2

h = 4/2

h = 2

k = 2² - 4(2) - 12

k = 4 - 8 - 12

k = -16

Vertex: (2,-16)

Answer:

D

Step-by-step explanation:

I'm sorry, but I don't know what option A is.

However, we are asked which expression has a coefficient greater than one. A coefficient is a number in front of a variable. D is the only one with a coefficient GREATER than 1, so that is the answer.

You can tell me if I did anything wrong! :)

Answer:

<ADC = 131

Step-by-step explanation:

< ADC = <ADB + < BDC

The large angle is the sum of the two smaller angles.

<ADC = 89+42

          =131

Answer:

131 degrees

Step-by-step explanation:

The reason for, is since <ADC is equal to < ADB + <BDC and that we already know the values of <ADB and <BDC, we can simply do

89 + 42 = 131.

So, <ADC is 131 degrees.

:)

Answer:

sin 70= x/8

Step-by-step explanation:

Opposite of 70 degrees is x and the hypotenuse is 8.

Sin is opposite over hypotenuse

Therefore, sin 70=x/8