1.1.
A quadratic pattern has a second term equal to 1, a third term equal to -6 and a fifth term equal to
- 14.
1.1.1. Calculate the second difference of this quadratic pattern.
(5)

Answers

Answer 1

The second difference of this quadratic pattern is 2.

The first term of this quadratic pattern is 10.

Quadratic pattern

A sequence of numbers has a quadratic pattern when its sequence of second differences is constant. Therefore,

let the first and fourth term be a and b.

Therefore,

first difference:

1 - a; - 6 - 1 = -7; b + 6; -14 - b;

Second difference:

The second difference is constant . Therefore,

-7  - (1 - a) = -8 + a; b + 6 + 7 = b + 13; -14 - b - b - 6 = -2b - 20;

Therefore,

b + 13 = -8 + a

b  - a = -21

Then,

-2b - 20  = b + 13

-3b = 33

b = 33 / -3

b = - 11

Therefore,

- 11 - a = - 21

-a = -21 + 11

-a = -10

a = 10

Hence, the second difference = b + 13 = -11 + 13 = 2

First term = a

Therefore,

a = 10

learn more on quadratic pattern here:https://brainly.com/question/21517782

1.1.A Quadratic Pattern Has A Second Term Equal To 1, A Third Term Equal To -6 And A Fifth Term Equal

Related Questions

Can we conclude that two similar figures can also be congruent figures? Explain.

Answers

Answer:

In similar figures, the angles are congruent, even if the sides are not. Notice that one angle in each pair of figures corresponds to an angle in the other figure. They have the same shape but not the same size

hi pls pls help me w this, it’s slope. algebra 1 home work

Answers

Answer: Both are the same. Don't just copy this, actually try to understand it.⬇️

Step-by-step explanation:

x y

2 3

4 6

8 12

remember rise/over = y/x

Function 1 is rising 3 for every 2 to the right. that means 3/2 or x y

                                                                                                             2 3

I hope this helps

Plz help me!! I’m having a bit of trouble

Answers

18

18-6=12

Factor in 18

Answer:

x= 27

Step-by-step explanation:

solve x 9/× = x/4 what is x​

Answers

Answer:

x = - 6, x = 6

Step-by-step explanation:

[tex] \frac{9}{x} = \frac{x}{4} \\ \\ x \times x = 9 \times 4 \\ \\ {x}^{2} = 36 \\ \\ x = \pm\sqrt{36} \\ \\ x = \pm 6 \\ \\ x = - 6, \: \: x = 6[/tex]

Complete the recursive formula of the geometric sequence 27, -9, 3, -1
b(1)= ______
b(n)= b(n-1)·_____

Answers

Answer:

Step-by-step explanation:

Common ratio r = a₂/a₁ = -9/27 = -⅓

b(1) = 27

b(n) = b(1)rⁿ⁻¹ = 27(-⅓)ⁿ⁻¹

To decorate 6 dozen cupcakes with red hot candies, Nan needs about 550 red hots. Which two sacks of candy would be the best buy?plsss help me asap giving brainless and explain whay is that the answer.​

Answers

Answer:

Is there supposed to be a picture?

Step-by-step explanation:

If you used a random number generator for the numbers from 1 through 15 to play a game, what is the theoretical probability of getting an odd number or a multiple of 6?

Answers

Answer:

Getting an odd number would be 8/15 and the multiple of six would be 2/15

a number increased by 9 is 13

Answers

Answer:

4

Step-by-step explanation:

To find the number you have to reverse the equation

Let us call the number "x"

x + 9 = 13

So to find x we flip the equation

13 - 9 = x

Solve it

4 = x

So the missing number is 4

Helpppp!!!!!! I need this nowwwww

Answers

the correct answer is number one

6x^2 - 37x + 13 = 6

Show why this quadratic trinomial cannot be factored with an explanation.

i have been struggling with this please help

Answers

you can easily apply it in a fx-570es Calculator and you’ll get

X=5.971
X=0.195

it’s hard to factor it because there’s no multiples of 42 that when you add them gives you 37 so that’s why the solutions are decimals

Sailors once used a unit of length called a fathom to measure the depth of the water. Each fathom is equal to 6 feet. Which equation represents the relationship between x, the depth of water in fathoms, and y, the depth of the water in feet?​

Answers

Answer:

Y=x*(6 feet/ 1 fathom)

Step-by-step explanation:

Plsssssssssssss help

Answers

The picture is too blurry for me even when I try zooming in on it

Answer:

x = 1.73

y = 2

Step-by-step explanation:

tan 30 = 1/x

0.57735 = 1/x

x = 1.73

sin 30 = 1/y

0.5 = 1/y

y = 2

PLEASE HELP GIVE ME CORRECT ANSWER AND ILL MARK YOU BRAINLY CORRECT ANSWER MATHEMATICS

Answers

Answer:

it's 800 ft

Step-by-step explanation:

because again when you want to find the area of anything you mulipuly so

10 x 20= 200 then you get the 200 and times it by 4 so 200 x 4 = 800

hope this helps!

10÷ 5/8 I need help to answer this

Answers

Answer:

16

Step-by-step explanation:

10÷5/8=16

Answer:

16

Step-by-step explanation:

To solve problems where a fraction is being divided, we use a reciprocal of the fraction, which means that you flip the fraction upside down and multiply by the other number. So for this problem, the opposite of 5/8 is 8/5, so we need to multiply that by 10.

10*8/5

80/5

16

Hope this helped you out!! Have an awesome day ( ̄︶ ̄)↗ 

20 POINTS HELP MATH RN SUCSSS

Answers

Answer:

A

Step-by-step explanation:

Find the value of x

Please help i don’t know the answer

Answers

Answer:

44 + 45 = 99° divided by 2 = 49.5 (you can round to 49)

why i am here any idea ?​

Answers

Answer:

Homework i d k

Step-by-step explanation:

PLEASE HELP ITS URGENT DONT GUESS (also if you get it right ill mark you as brainliest)

Answers

The answer would be 18 square inches!
Break it down into 2 separate rectangles than solve area for each then add them together!

Answer:

17

Step-by-step explanation:

split the shape into 2 rectangles and find the area by multiplying the lenghts and withs of each rectangle then add their areas

someone plz help no links stg

Answers

vertex: (0,-9)
axis of symmetry: x=0
i don’t have the graph but
left x-intercept: (-3,0)
right x intercept: (3,0) (there’s two x intercepts)
the domain is the set of all real numbers
the range is -9, so i think it’s greater than?

what is the answer of
reciprocal of 1/7

Answers

7/1, I think that’s right

Answer:

7/1

Step-by-step explanation:

A reciprocal means you flip the numerator and the denominator (the top number and the bottom number) so In this case the reciprocal for 1/7 s 7/1.

Hope I could help!

8 + 12n – 4n – 7 Another problem pls dont troll or i will report you :)

Answers

Answer:

Step-by-step explanation:

Do u see any similarities between the numbers? Both 12 and -4 have a variable(N). 8 and -7 dont have a variable, so u have to calculate them individually.

One thing to remember is just because there is a minus sign(-) or a plus sign(+) does not mean its addition or subtraction. its the value of the number. the sign to the left of the number is its value. so left of 12 is plus(+), so its a positive. left of 4 is a minus sign(-) so its a negative 4. lastly, left of 7 is minus sign(-), which means its negative 7. now u add.

lets add the variables first:

12n + (-4n) = 8n

add the regular numbers:

8 + (-7) = 1

so its 8n + 1

Exit Ticket/CFU/You try:
Find the difference: (3 - 2i) - (5 - 6i). Show your work below.

Answers

2 Dewey you can still go to get

heyy pls help ty lol

Answers

Answer: 5/12

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

We are going to change both number so they have the same denominators.

1/4x3/3= 3/12

2/3x4/4=8/12

Once we changed the number we are going to subtract the numbers.

8/12-3/12=5/12

We can't simplify 5/12 so the answer is 5/12.  

(Urgent) Worth 10 points 7.3

Answers

Step-by-step explanation:

A straight line adds up to 180°

m+3m=180°

4m=180°

m=45°

3m=45°

angle CBD=3(45)

=135°

The answer is 135 hope that helps!

11 dived by 2=
Long divination pls help

Answers

Answer:

11/2 is 5 1/2 this is which is 5 remainer 1 if you are a lower grade. If not then the complete form is 5.5

Step-by-step explanation:

solve following values for x and y

Answers

Answer:

value of x

(8x+7)°=(9x-4)°

vertically opposite angles are equal

8x°-9x°=-4°-7°

-x°=-11°

divide both sides by -1° don't counsel negative

x=11

value of Y

5y°=(7y-34)°

vertically opposite angles are equal

5y°-7y°=34°

-2y°=34°

divide both sides by-2° don't counsel negative

y=17

Nutritionists measured the sugar content (in grams) for 32 drinks at Jake's Java

coffee shop. The drinks had a mean sugar content of 18g and a standard

deviation of 5g, and the distribution was roughly symmetric.

Question 1: Grande Mocha Cappuccino at Jake's Java contains 14 g of sugar.

Calculate the standardized score (z-score) for the Grande Mocha Cappuccino.

Answers

Answer:

[tex]z = -0.8[/tex]

Step-by-step explanation:

Given

[tex]n = 32[/tex] --- samples

[tex]\mu = 18g[/tex] --- mean

[tex]\sigma =5g[/tex] --- standard deviation

[tex]x = 14g[/tex] --- observed value

Required

Find the standardized score

This is calculated as:

[tex]z = \frac{x - \mu}{\sigma}[/tex]

So:

[tex]z = \frac{14g -18g}{5g}[/tex]

[tex]z = \frac{-4g}{5g}[/tex]

[tex]z = \frac{-4}{5}[/tex]

[tex]z = -0.8[/tex]

The standardized score is -0.8

3.9÷10₅ = (power of 10)

Answers

it would be 3.9×10^-5

Determine the speed in km/h if you travel a distance of 160 km in 2 hours​

Answers

Answer:

80km/h

Step-by-step explanation:

(160KM/H) / (2H) = 80 KM

Answer:

80km/h

Step-by-step explanation:

hope this helps!

have a good day :)

A severe storm has an average peak wave height of 16.4 feet for waves hitting the shore. Suppose that a storm is in progress with a severe storm class rating. Let us say that we want to set up a statistical test to see if the wave action (i.e., height) is dying down. The next 10 waves have an average wave height is 16 feet with a SD of .6 ft. If you wanted to test the hypothesis that the waves are dying down, what would you use for the alternate hypothesis

Answers

Answer:

The alternate hypothesis is:

[tex]H_{a} < 16[/tex]

Step-by-step explanation:

There are two types of hypothesis. The null hypothesis and the alternate hypothesis. The null hypothesis is that the mean found is equal to the expected value. The alternate hypothesis is a question about this expected value(different, more, less)

A severe storm has an average peak wave height of 16.4 feet for waves hitting the shore.

This means that the null hypothesis is [tex]H_{0} = 16.4[/tex]

Let us say that we want to set up a statistical test to see if the wave action (i.e., height) is dying down. If you wanted to test the hypothesis that the waves are dying down, what would you use for the alternate hypothesis

Dying down means lower average peak, that is, lower than the average of 16.4. This means that the alternate hypothesis is:

[tex]H_{a} < 16[/tex]

Other Questions
There is a bag filled with 4 blue, 3 red and 5 green marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. Another marble is taken at random. What is the probability of getting exactly 1 green? plz help me im too lazy and tired for this Explain the assertion that unlike the British West Africa, the development of nationalism in french colonies unduly delayed I need help please someone please Copy linkOPEN ENDED QUESTIONWhat operation(s) should come first whensolving? please help! will give brainliest, 15 points Which expression is equivalent to -11 - (-7)?A. 11 + 7B. -11 - 7C. 11 - 7D. -11 + 7 Help me please brainliest reward Why did Congress dismantle the Freedmens Bureau in 1872, only 7 years after it was created? Figure EFGH is transformed to EFGH, as shown: A coordinate plane is shown. Figure EFGH has vertices E at negative 5 comma 4, F at negative 5 comma 1, G at negative 3 comma 2, and H at negative 1 comma 6. Figure E prime F prime G prime H prime has vertices at E prime 7 comma 4, F prime 7 comma 1, G prime 5 comma 2 and H prime 3 comma 6. Which of the following sequences of transformations is used to obtain figure EFGH from EFGH? Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units Reflection about the y-axis followed by a translation right by 2 units Reflection about the x-axis followed by a translation left by 2 units A crew of workers paved 3/15 of mile in 20 minutes. If they work at the same rate, how much of a mile will they pave in 1 hour write the next three terms of the arithmetic sequence.5/6, 2/3, 1/2, 1/3, _, _, _,i will mark as brainliest pls help! big thanks to those who have been helping me and my friend! A 20-sided number cube is made up of equilateral triangles. Write and solve an equation to determine the value of x on the number cube shown. 45% of c is 90. Find the value of c. How does Edmundson characterize today's typical college students-physically, intellectually, emotionally? I WILL GIVE YOU BRIANLIEST!!!4x^2+2x-9What is the r s and q in quadratic formula? FILL IN THE MISSING TEXT MESSAGES. MAKE SURE TO READ THE CONVERSATION MANY TIMES TO MAKE SURE IT MAKES SENSE!Spanish The results of a random sample of 1,000 people are recorded in Table 1. Use this data to answer the questions that follow.people who wear corrective lenses 762people who wear glasses: 638people who wear contact lenses 124What percentage of Americans would you predict wear corrective lenses? Lynn can type 1,650 words in 30 minutes. What is her typing rate, in words per minute?