Which represents the explicit formula for the arithmetic sequence an = 7 - 3(n - 1) in function form?

Step-by-step explanation:

remember, the general formula to solve a quadratic equation ax² + bx + c = 0 is

x = (-b ± sqrt(b² - 4ac))/(2a)

a)

I think there is a typo, and this should be

5x² - 7x = 72

5x² -7x - 72 = 0

x = (7 ± sqrt(49 - -1440))/10 = (7 ± sqrt(1489))/10

x1 = (7 + sqrt(1489))/10

x2 = (7 - sqrt(1489))/10

b)

x(x + 2) = 5

x² + 2x - 5 = 0

x = (-2 ± sqrt(4 - -20))/2 = (-2 ± sqrt(24))/2 =

= (-2 ± sqrt(4×6))/2 = (-2 ± 2×sqrt(6))/2 =

= -1 ± sqrt(6)

x1 = -1 + sqrt(6)

x2 = -1 - sqrt(6)

c)

3x² + 2x - 4 = 0

x = (-2 ± sqrt(4 - -48))/6 = (-2 ± sqrt(52))/6 =

= (-2 ± sqrt(4×13))/6 = (-2 ± 2×sqrt(13))/6 =

= (-1 ± sqrt(13))/3

x1 = (-1 + sqrt(13))/3

x2 = (-1 - sqrt(13))/3

Answer:

1

Step-by-step explanation:

you cant multiply 0 and 0 and then plus one minus 0 you can't minus anything cuz it's well zero and it would be one

Answer:

1

Step-by-step explanation:

zero times zero is equal to zero, so if you add one to that, it then becomes one. After that, if you subtract zero from that you are basically not changing the one.

so yeah

Answer:

Hes right 304.8 millimeters in a foot.

Answer:

√85

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

whatever was done to y needs to be done to  x.

in this case (y) was 2x so you need to 2x (x) making 4 into 8

Answer:

Step-by-step explanation:

4x+6<= -54

4x <= -60

x <= -15    [The point -15 is included, so it must be a solid dot]

----------------

5x + 7 > -18

5x > -25

x > -5     [The point -5 is NOT included, so it should be an empty dot.]

Solution C seems the best.

Solution of Problem 1:

Solution of Problem 2:

Therefore:

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

H

Step-by-step explanation:

The domain is the values of x in a function.

The graph appears to extend infinitely to the right and left going from the x value 1

From what it looks like the two lines never touch or go over the x value 1 and extend infinitely to the right and left meaning that the values of x of the function are all real numbers but x = 1.

This can be written as {x | x ≠ 1 }

The answer is H

Annual interest rate is 4.6%

hope this helps!

Answer:

Answer:

x = the wight of the large box

y = the weight of the small box

A delivery of 3 large boxes and 2 small boxes has a total weight of 73 kilograms.

3x + 2y = 73

A delivery of 8 large boxes and 4 small boxes has a total weight of 177 kilograms.

8x + 4y = 177

by solving the system of equations

3x + 2y = 73

8x + 4y = 177

we find

x = 15.5 kg

y = 13.25 kg

the large box weights 15.5 kg.

the small box weights 13.25 kg.

Answer:

  angles: 150°, 108°, 90°, 12°

Step-by-step explanation:

The size of each sector of a pie chart is proportional to the size of the data item being represented. Here, the total of all frequency numbers is ...

  25 +18 +15 +2 = 60

These 60 are represented in the chart by 360°, so each unit of frequency is represented by 360°/60 = 6°.

The 25 destinations in France are represented by a sector that is ...

  25 × 6° = 150°

The 18 destinations in Spain are represented by a sector that is ...

  18 × 6° = 108°

The 15 destinations in Greece are represented by a sector that is ...

  15 × 6° = 90°

The remaining (Other) destinations are represented by the remaining part of the circle:

  2 × 6° = 12°

You can draw the sector dividers in the circle using a protractor or geometry application, or you can let a spreadsheet draw the entire pie chart for you.

__

The attachment is roughly what the finished product would look like. We have included the angle measures, so you can see what they are. Ordinarily, those would not be present. The labels might include data values or percentages, as you may decide. The purpose is to communicate, so you need to figure what message you want the chart to communicate, and label it appropriately.

Answer:

angles: 150°, 108°, 90°, 12°

Step-by-step explanation:

The size of each sector of a pie chart is proportional to the size of the data item being represented. Here, the total of all frequency numbers is ...

25 +18 +15+2 = 60

These 60 are represented in the chart by 360°, so each unit of frequency is represented by 360` = 6°.

The 25 destinations in France are represented by a sector that is ...

25 x 6° = 150°

The 18 destinations in Spain are represented by a sector that is ...

18 x 6° = 108°

The 15 destinations in Greece are represented by a sector that is ...

15 x 6° = 90°

The remaining (Other) destinations are represented by the remaining part of the circle:

2 x 6° = 12°

You can draw the sector dividers in the circle using a protractor or geometry application, or you can let a spreadsheet draw the entire pie chart for you.

The attachment is roughly what the finished product would look like. We have included the angle measures, so you can see what they are. Ordinarily, those would not be present. The labels might include data values or percentages, as you may decide. The purpose is to communicate, so you need to figure what message you want the chart to communicate, and label it appropriately.

Answer:

$47.85

Step-by-step explanation:

4 2/5 in decimal form is 4.4

Using the equation hrs/money=x, 36.30/4.4=8.25

So, she gets $8.25 per hour

Then, 5 4/5 in decimal form is 5.8

So, 5.8*8.25=47.85

She gets $47.85 for working 5 4/5 hours

Answer:$47.85

Step-by-step explanation:

Answer:

2:5  

12:30

Step-by-step explanation:

Answer:

Yes, the triangles are congruent by HL. IJ≅ NM, LM≅HJ

Step-by-step explanation: I took the test

Answer:

Step-by-step explanation:

j

Answer:

Your answer is in picture hope it helps

Step-by-step explanation:

By the binomial theorem,

[tex]\displaystyle \left(x^2-\frac1x\right)^6 = \sum_{k=0}^6 \binom 6k (x^2)^{6-k} \left(-\frac1x\right)^k = \sum_{k=0}^6 \binom 6k (-1)^k x^{12-3k}[/tex]

I assume you meant to say "independent", not "indecent", meaning we're looking for the constant term in the expansion. This happens for k such that

12 - 3k = 0   ===>   3k = 12   ===>   k = 4

which corresponds to the constant coefficient

[tex]\dbinom 64 (-1)^4 = \dfrac{6!}{4!(6-4)!} = \boxed{15}[/tex]

Answer:

K(w)=P(w)

150 - 15w = 180 - 20w

Collect like terms

-15w + 20w = 180 - 150

5w = 30

w = 30/5

w = 6

Therefore, w = 6 weeks

Answer:

The complete and simplified answer to the question what is 6/8 of 5 is:  

3 3/4

Step-by-step explanation:

You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.

Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator: 5/1

So now that we've converted 5 into a fraction, to work out the answer, we put the fraction 6/8 side by side with our new fraction, 5/1 so that we can multiply those two fractions.

That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:

6 x 5/ 8 x 1  =  30 /8

In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 30 and 8 is 2.

We can now divide both the new numerator and the denominator by 2 to simplify this fraction down to its lowest terms.

30/2 = 15

8/2 = 4

When we put that together, we can see that our complete answer is:  

15/ 4

If you now simplifiy the COMPLETE anwser is:

3 3/4

[tex]3 + \sqrt{ - 12} \\ = 3 + \sqrt{ 2 \times 2 \times - 3} \\ = 3 + 2 \sqrt{ - 3} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

[tex]\\ \sf\longmapsto 3+√-12[/tex]

[tex]\\ \sf\longmapsto 3+√12i[/tex]

[tex]\\ \sf\longmapsto 3+√2(2)(3)i[/tex]

[tex]\\ \sf\longmapsto 3+2√3i[/tex]

Answer:

y=2x-9

Step-by-step explanation:

Answer:

84.21%

Step-by-step explanation:

When working with percentages, one must cross multiply and divide

first you set up your numbers in fraction form…

[tex]\frac{16}{19} \frac{x}{100}[/tex]

now you multiply the two number you do have (16 and 100)…

[tex]16*100\\ 1600[/tex]

then divide by the other number that is known (19)…

1600÷19≈84.21

hope this helps!

Answer:

lines are not perpendicular or parallel

Answer:

x=6,x=-7

Step-by-step explanation:

x^2+x-42=0

x^2-6x+7x-42=0

x(x-6)7(x-6)=0

(x-6)(x+7)=0

Answer:

x = 29

Step-by-step explanation:

64°+y°+y° = 180°

64+2y = 180

2y = 116

y = 58

(180°-58°)+2x° = 180

122+2x = 180

2x = 58

x = 29

Answer:

#1.---60%   #2.---$12.60 per hour

Step-by-step explanation:

#1. Since It was originally $50 you have 50% already, so what I did was I multiplied 50 by 2. this got me 100 which is a simpler way to calculate by. 50 to 80 dollars is a $30 change, so multiply that by 2 and you get 60. 60 will be your percent of change. You can double check this by multiplying 50 by .60, the answer will be 30 and 50+30=80

#2 Since Tyler starts off with $12 per hour with a 5% increase you will need to multiply 12*.05 this will get you the answer of 0.6 you then need to add $12, since that was his original payment. 12+0.6=12.60, so his final payment would by $12.60 per hour

Answer:

The answer is A.

Explanation:

A is true because 2/3 of a dress takes a full four hours. That means 1/3 is finished every 2 hours. So if you add both 4 and 2 together you get 6 hours :)

Hope this helped

Answer: 243, Reminder is 14

Step-by-step explanation:

52,259 / 215 = 243.065116

215 x 243 = 52,245

52,259 - 52,245 = 14

So the reminder is 14