how do you solve the system of elimination method.
x-6y=-30
-2x-5y=-25

Answers

Answer 1

Answer: x-6y=-30...equatn 1
-2x-5y=-25....equatn 2
multiply eqn 1 and 2 with 5 and 6 respectively
5x-30y=-150
-12x-30y=-150
subtract to eliminate y
17x=0
x=0
substitute x=0 into any of the equations
0-6y=-30
-6y=-30
y=-30/-6
y=5
x=0;y=5

Answer 2

Answer: x - 6y = -30 / * 2
-2x - 5y = -25

2x - 12y = -60
-2x - 5y = -25
--------------------
+
2x - 2x - 12y - 5y = -60 - 25
-17y = -85 / : (-17)
y = 85/17
y = 5

y = 5
x - 6y = -30

y = 5
x - 6 * 5 = -30

y = 5
x - 30 = -30

y = 5
x = 30 - 30

y = 5
x = 0

answer:
x = 0
y = 5

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assume the substance has a half-life of 11 years and the initial amount is 126 grams.How long will it be until only 15 % remains?

Answers

(126) times (1/2 to the x/11 power) = 15% times 126

(1/2) to the x/11 power = 0.15

Take the log of both sides :

(x/11) times log(1/2) = log(0.15)

Multiply both sides by 11 :

'x' times log(1/2) = 11 x log(0.15)

Divide both sides by " log(1/2) " :

x = 11 x log(0.15)/log(1/2) = 30.107 years (rounded)

That's the time it takes for any-size sample of this substance
to decay to 15% of its original size.

Please help with the attack he’s question. need help ASAP! I have a test soon!

Answers

If the mean is $12, her eighth earning was $10.

What is the data's Mean?

By dividing the total number of entries by the sum of the given numbers, the mean, or average, of the given data set is obtained.

To put it another way, the mean is equal to the sum of all the data divided by the total number of data.

Laura moved 8 Iawns. Her pay for seven lawns was $12, $10, $15, $15, $10, and $9.

Let's say she was paid $x for the eighth year.

being $12 on average

Using the formula, mean

= $(12+10+15+15+15+10+9+x)/(8)$

=(86+x)/8

so, (86+x)/8=12

(86+x) =96

x =10

Hence, Laura earned $10 the eighth time.

To know more abοut mean of data

brainly.com/question/1136789

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How many ways can a gymnastics team of 4 be chosen from 9 gymnasts?

Answers

You have 9 gymnasts and want to make a team of 4. Say one out of the nine is chosen; eight are left. Take one, then seven, and two more can be chosen. Keep doing this and your team is full. So, it's 9*8*7*6 which equals 3,024, since order doesn't matter.

Answer:

3,024 in not correct...it's 126

Step-by-step explanation:

When a volcano erupts, the height of the peak is reduced and the upper portion is removed. The height of a volcano after it erupted was 8,219.5 feet. This was 85% of the original height. What was the original height?

Answers

The height of the volcano is reduced after the eruption, then the original height of thevolcano is 9670 feet.

What is the Percentage?

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the given information in the question,

Height of the volcano after eruption = 8,219.5 feet

Let the original height of the volcano is x.

85% of x = 8219.5

x = (8219.5 × 100)/85

x = 9670 feet.

To know more about percentages:

brainly.com/question/29306119

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Answer:

9,670

Step-by-step explanation:

8,219.5 ÷ 85% (0.85) = 9,670

transform the quadratic function y=-2x^2-12x-10 into vertex form. find the vertex, x and y intercepts.

Answers

$The\ vertex\ form\ of\ y=ax^2+bx+c:y=a(x-h)^2+k\n\nwhere\ h=(-b)/(2a)\ and\ k=f(h)=(-(b^2-4ac))/(4a)\n-----------------------------\n\ny=-2x^2-12x-10\n\na=-2;\ b=-12;\ c=-10\n\nh=(-(-12))/(2(-2))=(12)/(-4)=-3\n\nk=f(-3)=-2(-3)^2-12(-3)-10=-2\cdot9+36-10=-18+26=8\n\ntherefore:y=-2(x-(-3))^2+8\to\boxed{y=-2(x+3)^2+8}\leftarrow The\ vertex\ form$

$y-intercept\to f(0)=-2(0^2)-12(0)-10=\boxed{-10}\leftarrow y-intercept$

$x-intercept\ if\ y=0\n\n-2x^2-12x-10=0\ \ \ \ \ |divide\ both\ sides\ by\ (-2)\nx^2+6x+5=0\nx^2+x+5x+5=0\nx(x+1)+5(x+1)=0\n(x+1)(x+5)=0\iff x+1=0\ or\ x+5=0\n\n\boxed{x=-1\ or\ x=-5}\leftarrow x-intercept$

y=-2x^2-12x-10
to find the x value of the vertex find the axis of symmetry which is
-b/2a
=12/2(-2)
=-3
to find the y value of the vertex sub the axis of symmetry back into the original equation.
y=-2(-3)^2-12(-3)-10
y=8
vertex=(-3,8)
to put it into vertex form use y=a(x-h)^2 +k where h and k are the x and y values of the vertex respectively.

y=-2(x--3)^2 +8
y=-2(x+3)^2+8

to find the x intercept let y=0

-2x^2-12x-10=0
x^2+6x+5=0
use quad formula and you will get
x=-5 and -1

to find the y intercept let x=0

y= -2(0)^2-12(0)-10
y=-10

cindy has 34 meters of fencing.she plans to fence in a rectangular dog run that is 2 meters wide.[remember, the formula for the perimeter of a rectangle( the distance around) is p=2L+2w, where L=length and w=width. how long can the run be made?