What is the next term in the sequence 4, -12, 36?
a. -42 b. -54
Which term in the sequence -2, -5, -8, -
a. 9th term b. 10th term
What are the first three terms of the sequence whose general term is an = 2n+1?
a. 3, 5, 7 b. 4, 6, 8 c. 5, 6, 7 d. 6, 8, 10 Find the general term of the sequence -10, -20, -30, -
a.an =-10n b.an =10n c.an =n 10 d.an =10-n
An online seller sold 89 face shields on the first day, 76 face shields on the second day and 63 face shields on the third day and so on. If this pattern continues, how many face shields will be sold on an nth day?
a.an=102-13n b.an=102+13n c.an=100+13n d.an=100-13n
c. -72 d. -108 -32?
c. 11th term d. 12th term
6. In the given sequence 15, 19, 23, 27. What is the 12th term?
a. 63 b. 59 c. 51 d. 33
7. What is the common difference of the arithmetic sequence below?
a. 8 b.6 c. 5 d. 3
8. The value of a7 in an arithmetic sequence where a3 = -4 and a8 = 11 is
a. 2 b. 5 c. 8 d. 10
9. What operation is used in determining the common difference?
a. multiplication b. division c. addition d. subtraction

The rule in vector notation for the translation to the right is described by the following formula:

[tex]V'(x,y) = V(x,y) + (9, -4)[/tex]

Vectorially speaking, a translation is described by the following expression:

[tex]V'(x,y) = V(x,y) + T(x,y)[/tex] (1)

Where:

By direct inspection we see that parallelogram C'D'E'F' translated to the right is moved 9 in +x direction and 4 in -y direction. Hence, the translation vector is equal to:

[tex]T(x,y) = (9, -4)[/tex]

And the rule in vector notation for the translation to the right is described by the following formula:

[tex]V'(x,y) = V(x,y) + (9, -4)[/tex]

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Answer:

Step-by-step explanation:

first open the bracket

3x-12-2x=6

collect like terms

3x-2x-12=6

x-12=6

x=12+6

x=18

This is your answer

(i) The graph of f is symmetric about the y-axis - this is another way of saying f is an even function, which means

[tex]f(x) = f(-x) \iff \dfrac{ax+b}{x^2-c} = \dfrac{-ax+b}{x^2-c}[/tex]

The denominator remains unchanged, so

ax + b = -ax + b

Solve for a :

ax = -ax

2ax = 0

a = 0

(The alternative is that x = 0, but if that were the case then there would be infinitely many choices for a.)

So

[tex]f(x) = \dfrac{b}{x^2-c}[/tex]

(ii) Since

[tex]\displaystyle \lim_{x\to2^+}f(x) = +\infty[/tex]

it follows that x - 2 must be a factor of the denominator. If that's true, then

x ² - c = (x - 2) (x - r )

for some other root r of x ² - c. Expanding the right side gives

x ² - c = x ² - (2 + r )x + 2r

so that

-(2 + r ) = 0   ===>   r = -2

2r = -c   ===>   -c = -4   ===>   c = 4

and so

[tex]f(x) = \dfrac{b}{x^2-4}[/tex]

(iii) Finally, we're given that f ' (1) = -2. Differentiating f gives

[tex]f'(x) = -\dfrac{2bx}{(x^2-4)^2}[/tex]

so that

[tex]f'(1) = -\dfrac{2b}{(1^2-4)^2} = -\dfrac{2b}{9}[/tex]

Then

-2b/9 = -2   ===>   b = 9

and we find that

[tex]f(x) = \dfrac{9}{x^2-4}[/tex]

Divide total dollars by the conversion rate:

68/1.36 = 50

Answer: £50

Answer:

PLS MARK BRAINLIEST

Step-by-step explanation:

m= y2 - y1/ x2 - x1( slope of a line)

m = 8 -0 / 7- 0

8/7 = m

m = 1.1

since m =y - y1/ x - x1

1.1 = y - 0/ x-0

1.1 = y/x(cross multiply)

y = 1.1 x

y -1.1 x = 0

or

y - 8/7 x = 0

Answer:

Gfd 600

Step-by-step explanation:

8.

Since they have twice as many games won as lost there are 3 parts.

The losing part and the two winning parts.

The winning part is [tex]\frac{2}{3}[/tex] the games while the losing part is [tex]\frac{1}{3}[/tex] the games.

Just multiply [tex]\frac{2}{3}[/tex] by the games played to find the games won.

[tex]\frac{2}{3} (96)=\frac{192}{3} =64[/tex]

The ravens won 64 games.

10.

Make a system of equations.

Let s be the number of skips interviews and w be the number of woodys interviews.

s=w-8

s+w=20

Then just use algebra to rearrange and find each persons interviews.

For this one we can rearrange the second equation to get s=20-w.

Since we have two solutions for s we can set them equal.

w-8=20-w

2w-8=20

2w=28

w=14

Now that we have the number of woodys interviews substitute it into the first equation to get skips interviews.

s=w-8

s=14-8

s=6

So skip had 6 interviews and woody had 14 interviews.

12.

Make a system of equations

y-x=7

x+y=33

Then just use algebra to rearrange and find each amount of items.

Start by solving with substitution. (Elimination could work too im just going to use substitution.)

y-x=7

y=7+x

Substitute into the second equation

x+(7+x)=33

2x+7=33

2x=26

x=13

Now plug this x value back into the first equation

y-13=7

y=20

The number of items on one list is 13 and the number of items on the second list is 20.

Answer:

the square root of 197

Step-by-step explanation:

delta x=14

delta y=1

therefore with the Pythagorean theorem, the hypotenuse/distance is the square root of 197

Answer:

no HAHHAAHHA

Step-by-step explanation:

WHAT IS THAT

Answer:

69 degrees

Step-by-step explanation:

m is a point, if your trying to find lkh, is 69

lkm=111, and jkl=180, so 180-111=jkm

jkm=69

angles that are diagonal from each other are the same degree

lkh=69

hope this helps, if not see me in the commnets

HOPE THIS HELPS, BRAINLIEST PLEASE

Answer:

m < LKH = 69°

Step-by-step explanation:

Given that m < LKM = 111° and that:

<LKM and <LKH are adjacent angles as they share the same vertex, point K, and same ray between them, KL:

Then we can assume that m < LKM and m < LKH are supplementary angles whose sum = 180°.

Therefore, we can establish the following equation:

m < LKM + m < LKH = 180°

111° + m <LKH = 180°

Subtract 111° from both sides to solve for m < LKH:

111° - 111° + m <LKH = 180° - 111°

m < LKH = 69°

Therefore, the measure of < LKH is 69°.

Please mark my answers as the Brainliest if you find my explanations helpful :)

#1

Hence inequality will be

[tex]\\ \sf\longmapsto -6\leqslant 5[/tex]

#2.

But we need inequality

[tex]\\ \sf\longmapsto 3\leqslant 5[/tex]

#3

The inequality given by

[tex]\\ \sf\longmapsto -6\leqslant 3\leqslant 5[/tex]

Answer:

Step-by-step explanation:

Given numbers:

If we add these onto number line, we'll see them in same order from left to right.

We know the numbers increase from left to right on the number line, so the numbers to the left are smaller than the numbers to the right.

1.

2.

3.

Answer:

hope it helps .... . . ........................!

Answer:

m = 2/3

Step-by-step explanation:

4y = -6x + 72

y = -3/2x + 18

Negative reciprocal = 2/3

[tex]food = \frac{1}{3} \times 48000 = 16000 \\ rent = \frac{1}{5} \times 48000 = 9600 \\ clothes = \frac{1}{4} \times 48000 = 12000 \\ food + rent + clothes = x \\ 16000 + 9600 + 12000 = 37600 \\ ndagune \: income - what \: he \: spends = what \: he \: saves \\ 48000 - 37600 = 10400 \\ ndagune \: saves \: 10400[/tex]

Answer:

55%

Step-by-step explanation:

1430 divided by 2600 is 0.55

0.55 is 55%

Answer:

$29.90

Step-by-step explanation:

Just multiply gallons by price:

13 gallons x [tex]\frac{2.30 dollars}{1 gallon}[/tex] = 29.9

Answer: 1/3

Step-by-step explanation: 2/3 - 1/3 = 1/3

Answer:

5 apples

Step-by-step explanation:

because jonny never had any taken away or added

BENJI KROL + NIC KAUFMANN FOREVER

Answer:

b

Step-by-step explanation:

Answer:

2

I hope this helps you...

Answer:

angle 4 = 56°

Step-by-step explanation:

Interior angles in the same side of the transversal are supplementary (their sum is 180°)

Angle 1 and 4 are interior angles on the same side of the transversal.

So, angle 1 + angle 4 = 180°

Angle 1 = 124° (given)

124 + angle 4 = 180°

angle 4 = 180° - 124° = 56°

Therefore, angle 4 = 56°

Hope it helps :)

Answer:

it could be 1/8

Manuel needs 20 liters of the 8% and 5 liters of 20% mixtures to be mixed so as to get 30 liters of a mixture of water and 10% lemon juice.

Let x represent the amount of 8% lemon juice in liters and y represent the amount of 20% lemon juice in liters.

Since Manuel wants to produce a 30 liters mixture from 8% lemon juice and 20% lemon juice, hence:

x + y = 30      (1)

Also, Manuel wants 30 liters of a mixture of water and 10% lemon juice, hence:

8% of x + 20% of y = 10% of 30 liters

0.08x + 0.2y = 3         (2)

Solving equation 1 and 2 simultaneously; multiply equation 1 by 0.2 and subtract equation 2 from the result:

0.12x = 3

x = 25 liters

x + y = 30

25 + y = 30

y = 5 liters

Manuel needs 20 liters of the 8% and 5 liters of 20% mixture

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Answer:

1 1/2 or 1.5

Step-by-step explanation:

Hope it helps sorry if it's wrong :)

Answer:

a answer

Step-by-step explanation:

a answer is a answer to a answer to a answer

Answer:

1st year

50hdnjxwmmwdbbd

djjrjeuie

Answer:

a. 738.73

Step-by-step explanation:

hope that’s righttt.

What I did was 500x0.05 and with the answer I did x0.5 again and added it to the previous year until the 8th time each was 738.73 correct me if I’m wrong

edit so it’s wrong….not sure what I did wrong

Answer:

1.6

Step-by-step explanation: