wich of the following functions maps 3 to -5?

Looking at the first system of equations,

16x - 10y = 10

-8x - 6y = 6

If we multiply both sides of the second equation by 2, the coefficient of x is exactly the negative of the coefficient of x in the first equation.

-8x - 6y = 6

⇒   2 (-8x - 6y) = 2 (6)

⇒   -16x - 12y = 12

By combining this new equation with the first one, we can eliminate x and solve for y :

(16x - 10y) + (-16x - 12y) = 10 + 12

⇒   -22y = 22

⇒   y = -1

Then we just solve for x by replacing y in either equation.

16x - 10y = 10

⇒   16x - 10 (-1) = 10

⇒   16x + 10 = 10

⇒   16x = 0

⇒   x = 0

The main idea behind elimination is combining the given equations in just the right amount so that one of the variables disappears. The "right amount" involves using the LCM of the coefficients of a given variable. In this example, the x-coefficients had LCM(8, 16) = 16, so we only had to scale one of the equations (the one with -8x) to cancel all the x terms.

If we wanted to eliminate y first instead, we first note that LCM(6, 10) = 30. To get 30 as a coefficient on y, in the first equation we would have multiplied by 3:

16x - 10y = 10

⇒   3 (16x - 10y) = 3 (10)

⇒   48x - 30y = 30

And in the second equation, we would have multiplied by -5 (negative so that upon combining the equations, we end up with -30y + 30y = 0):

-8x - 6y = 6

⇒   -5 (-8x - 6y) = -5 (6)

⇒   40x + 30y = -30

Now combining the two scaled equations gives

(48x - 30y) + (40x + 30y) = 30 + (-30)

⇒   88x = 0

⇒   x = 0

We then solve for y :

16x - 10y = 10

⇒   -10y = 10

⇒   y = -1

so we end up with the same solution as before.

Answer:

4 times because they will have the common number of 15 and since there is 60 seconds in a minute you would divide 60 by 15, and that equals 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are 81 calories in a 0.75 cup serving of chicken noodle soup. How many calories are in a 2 cup serving?

0.75*2=2 cups

81*2=162

Answer:

x = 216

Step-by-step explanation:

[tex]\frac{81}{0.75}[/tex] = [tex]\frac{?}{2}[/tex]

I hope this helps!!

Answer:

-1

Step-by-step explanation:

its like subtracting 5 and 4

246,588 rounded to the nearest 10 thousands place is 250,000

Answer:

A = $1034

Step-by-step explanation:

The relevant Amount function is A = P(1 + r/n)^(n*t), where r is the annual interest rate as a decimal fraction, n is the number of compounding periods per year, and t is the number of years.

There are 52 weeks in a year.  Hence, n = 52, and 25 weeks = 25/52 year, or 0.481 year.  

The accumulation (value of the savings) would be

A = ($1000)(1 + 0.07/52)^(52*[25/52]), or approximately

A = ($1000)(1.0013)^25, or approximately A = $1034

Step-by-step explanation:

x = number of trucks with 16 tonnes capacity

y = number of trucks with 6 tonnes capacity

x + y = 11

16x + 6y = 126

the first equation gives us

x = -y + 11

and we use that in equation 2 :

16(-y + 11) + 6y = 126

-16y + 176 + 6y = 126

-10y = -50

10y = 50

y = 5

x = -y + 11 = -5 + 11 = 6

the number of 16 tonne trucks was 6.

Answer:

7 out of 10

Step-by-step explanation:

if you have 10 in the cup then you add

4 vanilla 3 chocolate = 7

and add all scoops together and you get 10

so your probability would be 7 out of 10

another way to say it is

the probability of getting chocolate or vanilla ice cream from the cup would be 7 out of 10

Answer:

y = (2/3)x + 1/3

Step-by-step explanation:

Check that a single straight line will actually go through all four of these points.  Going from (1, 1) to (4, 3), the 'rise' is 2 and the 'run' is 3, which would make the slope, m, equal rise/run = 2/3.  Going from (4,3) to (10, 7), m = rise/run = 4/6 = 2/3 (again).

Let's find the slope-intercept form of the equation of this line:  y = mx + b

Arbitrarily choose the point (1, 1).  Here x = 1, y = 1 and m = 2/3.  Then

we have

1 = (2/3)(1) + b, or 1 = 2/3 + b, so that b must be 1/3.

The equation in question is y = (2/3)x + 1/3

Answer:

i think students attend Coast middle School 80 students

Step-by-step explanation:

students attend Coast middle School x students

75%x = 60

x = 60×100/75

x = 80

Answer:

80 students attend

Step-by-step explanation:

75% is the same as 3/4 so you divide 60 by 3 to get 20 then you can multiply that by 4 to get 80

Answer:

y = 41

Step-by-step explanation:

Substitute x = 5 into the equation

y = 5² + 3(5) + 1 = 25 + 15 + 1 = 41

Answer:

C. two times a number n added to one

Answer:3x+5

Step-by-step explanation:

Answer:

In(3xe^4 - e^4)

Step-by-step explanation:

In(3x-1)+4

convert the constant to a log with base e:

In(3x-1) + In(e^4)

Simplify the expression:

In((3x-1)e^4)

Remove the parentheses:

In(3xe^4 - e^4)

Hope it help !

Answer:

 B

Step-by-step explanation:

The incorrect tables each have at least one flaw that makes it not match the histogram.

A. The relative frequency associated with 4 of 86 is about 0.047, not 0.055. The relative frequencies are incorrect.

B. this table matches the histogram

C. The "bins" are not of uniform width, nor are they centered on the same values as shown in the histogram.

D. The values in a cumulative frequency table should be non-decreasing. The table value of 24 should be 54.

Answer:

y=3x+5

Step-by-step explanation:

y=mx+b

-y=-5-3x

divide each term

y=5+3x

reorder 5 and 3x

answer:y=3x+5

64 + 66 + 68 + 70

hope this helps!

Answer:

The answer is  $22.79. Hope this helped! If the answer is wrong i'm super sorry!

Step-by-step explanation:

$13.50 + $8 = $21.50

0.06 x 21.50 = $1.29

$1.29 + $21.50 = $22.79

Answer:

Step-by-step explanation:

Answer:

L

Step-by-step explanation:

Alejandro makes an error in the first steps he divides 8 by 5 which is incorrect he has to divide 5 by 8, and in the second step, he does not multiply the term by 100 and it can be determined by using fraction or percentage.

Alejandro uses the steps below to convert 5/8 to a percent.

8 divided by 5 = 1.6.,

1.6 = 160 percent

Which best explains Alejandro's error?

Alejandro uses the steps below to convert 5/8 to a percent.

8 divided by 5 = 1.6.,

1.6 = 160 percent

The division was computed incorrectly.

The division was completed in the incorrect order. The decimal was moved to the right too many times.

The decimal was moved to the right instead of the left.

Alejandro uses the steps below to convert 5/8 to a percent.

To convert 5/8 into percentages following all the steps given below.

                   [tex]= \dfrac{5}{8} \\\\ = 0.625[/tex]

                    [tex]\rm = 0.625 \times 100\\\\= 62.5 \ percent[/tex]

Hence, Alejandro makes an error in the first steps he divides 8 by 5 which is incorrect he has to divide 5 by 8, and in the second step, he does not multiply the term by 100.

For more details about the Equation refer to the link given below.

https://brainly.com/question/18187260

Answer:

Just tell me the letter.

Step-by-step explanation:

Answer:

there is nothing just a a codding log

Step-by-step explanation:

The cost of each campstools, tent and sleeping bag is $20, $100 and $26

let

tent = 1

sleeping bags = 2

campstools = 3

Total cost = $212

tent = t

sleeping bags = s

campstools = c

If

t = 5c

s = c + 6

Total = t + 2s + 3c

212 = 5c + 2(c + 6) + 3c

212 = 5c + 2c + 12 + 3c

212 = 10c + 12

212 - 12 = 10c

200 = 10c

c = 200/10

c = 20

t = 5c

= 5 × 20

= 100

s = c + 6

= 20 + 6

= 26

Therefore, the cost of each campstools, tent and sleeping bag is $20, $100 and $26

Learn more about equation:

https://brainly.com/question/4916384

Answer:

x= -16/5

Step-by-step explanation:

5x+1=-15

solve

5x+1=-15

          -1

5x=16

      16/5

x= -16/5

Answer:

y = 4x + 5

Step-by-step explanation:

4 times the number of shirts, which is unknown, +$5 no matter how many.

Answer:

4x + 5

Step-by-step explanation:

Four multiplied by the number of shirts purchased (x) plus five dollars for shipping.

I hope this helps!!

Since "p" represents the number of pounds of peanuts and:  

4.05p + 14.40 = 4.50(p + 3) [then by distributing we have:

4.05p + 14.40 = 4.50p + 13.5 [then by subtracting 13.5 from both sides we have:

4.05p + 0.9 = 4.50p [then by subtracting 4.05p from both sides we have:

0.9 = 0.45p [then by dividing both sides by 0.45 we have:

2 = p

So there are 2 pounds of peanuts needed for the trail mix.

Answer:

17000

Step-by-step explanation:

2.5

.5

11.0

3*2=6

11

+6

17

Answer:

B

Step-by-step explanation:

Answer:

Your answer would be C

Step-by-step explanation:

Because its a ratio of integers with a nonzero denominator.

Answer:1/16 squared

Step-by-step explanation:

1/4*1/4

4*4=16

1/16