Solve the system using substitution.
X + 2y = -6
6x + 2y = 4
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Answer:
Step-by-step explanation:
Rearrange x+2y=-6 to solve for x:
x = -2y-6
substitute -2y-6 for x into the second equation:
6x + 2y = 4
6(-2y-6) + 2y = 4
-12y-36 + 2y = 4
-10y = 40
y = -4
x = -2y-6 = 2
(x,y) = (2,-4)
The solution for the system of equations is (2,-4).
The given system of equations are x + 2y = -6-----(1) and 6x + 2y = 4-----(2).
How do solve systems of equations using the substitution method?To solve a system of equations using substitution:
Step 1: Isolate one of the two variables in one of the equations.Step 2: Substitute the expression that is equal to the isolated variable from Step 1 into the other equation. This should result in a linear equation with only one variable.Step 3: Solve the linear equation for the remaining variable.Step 4: Use the solution of Step 3 to calculate the value of the other variable in the system by using one of the original equations.Now, rearrange x+2y=-6 to solve for x:
So, x = -2y-6
Substitute -2y-6 for x into the second equation 6x + 2y = 4.
That is, 6(-2y-6) + 2y = 4
⇒-12y-36 + 2y = 4
⇒-10y = 40
⇒y = -4
By substituting y = -4 in x = -2y-6 we get x=2.
Therefore, the solution for the system of equations is (2,-4).
To learn more about the system of equations visit:
https://brainly.com/question/21620502.
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How do matter and energy move through an ecosystem?
Step-by-step explanation:
How Matter Moves Through Ecosystems
Decomposers release nutrients when they break down dead organisms. The nutrients are taken up by plants through their roots. The nutrients pass to primary consumers when they eat the plants. The nutrients pass to higher-level consumers when they eat lower-level consumers. When living things die, the cycle repeats.How Energy Moves Through Ecosystems
Energy is transferred between organisms in food webs from producers to consumers. The energy is used by organisms to carry out complex tasks. The vast majority of energy that exists in food webs originates from the sun and is converted (transformed) into chemical energy by the process of photosynthesis in plants. A small proportion of this chemical energy is transformed directly into heat when compounds are broken down during respiration in plants. The majority of the chemical energy stored in plants is transformed into other forms by an assortment of consumers, such as cows, rabbits, horses, sheep, caterpillars, and other insects eating plants.Can anyone help me I really need it
The function g(x) is defined as shown.
StartLayout enlarged left-brace 1st row 1st column 3x minus 2, 2nd column negative 4 less-than-or-equal-to x less-than negative 2 2nd row 1st column negative x minus 1, 2nd column negative 2 less-than-or-equal-to x less-than 1 3rd row 1st column 6, 2nd column 1 less-than-or-equal-to x less-than-or-equal-to 3 EndLayout
What is the value of g(0)?
−2
−1
3
6
Answer:
B:-1
Step-by-step explanation:
Just took test 2021
Answer:
Step-by-step explanation:
The given function is a piecewise function with characteristics that vary with the value of x.
Please find attached the graph of h(x).
Reasons:
The given information is presented as follows;
From the above piecewise function, we have;
For x ≤ 0, the slope of the graph of h(x) =
For 0 < x ≤ 3, the slope of the graph of h(x) =
For x ≥ 4, the slope of the graph of h(x) =
Therefore, as we progress from left to right, the slope of h(x) increases and
the slope of the graph becomes steeper.
The graph of h(x) is plotted with the given equations using MS Excel as
shown in the attached diagram.
Jose purchased 105 slices of pizza to sell at his school's fundraiser, yet at the end of the day, he had only sold 58. What is his percent of error? PLS HELP
Answer:
awww well look at that my best friend is on brainly, i need help too <3
Step-by-step explanation:
Select the equation that represents the question.
0.8% of 150 is what number?
O 0.008 = a × 150
O a = 0.008 X 150
O 150 = a × 0.008
13
O 0.008 = 150 x a
Solve the equation.
a
Answer:
[tex]a = 0.008 * 150[/tex]
Step-by-step explanation:
Given
[tex]0.8\% * 150[/tex]
Required
Represent as an equation
Let a be the result of the equation.
So, we have:
[tex]0.8\% * 150 = a[/tex]
Express 0.8% as decimal
[tex]0.008 * 150 = a[/tex]
Rewrite
[tex]a = 0.008 * 150[/tex]
Consider the expressions show below, please help me!
Answer:
(3x² - 6x + 11) - (10x² - 4x + 6) is equivalent to expression -7x² - 2x + 5
(-3x² - 5x - 3) - (-10x² - 7x + 2) is equivalent expression to 7x² + 2x - 5
(12x² + 6x - 5) - (5x² + 8x - 12) is equivalent expression to 7x² - 2x + 7
Step-by-step explanation:
✔️(3x² - 6x + 11) - (10x² - 4x + 6)
Open the bracket by applying the distributive property
3x² - 6x + 11 - 10x² + 4x - 6
Add like terms
-7x² - 2x + 5
Therefore:
(3x² - 6x + 11) - (10x² - 4x + 6) is equivalent to expression -7x² - 2x + 5
✔️(-3x² - 5x - 3) - (-10x² - 7x + 2)
Apply distributive property
-3x² - 5x - 3 + 10x² + 7x - 2
Add like terms
7x² + 2x - 5
Therefore:
(-3x² - 5x - 3) - (-10x² - 7x + 2) is equivalent expression to 7x² + 2x - 5
✔️(12x² + 6x - 5) - (5x² + 8x - 12)
12x² + 6x - 5 - 5x² - 8x + 12
Add like terms
7x² - 2x + 7
Therefore:
(12x² + 6x - 5) - (5x² + 8x - 12) is equivalent expression to 7x² - 2x + 7
can somebody help me?
Answer:
Yup ur answer is 20.5 ounces
Step-by-step explanation:
since there's an additional 2.25 ounces every second I multiplied 2.25 by 4
2.25•4=9
9 ounces added to the beginning 11.5 ounces equals 20.5 ounces that are now in the bowl
hope this helps <3
Factor out the greatest common factor in 12x2 + 18x.
PLEASEE HELLPPPP
ASAP PLZ I WILL GIVE BRAINLIEST
The sum of a number and twenty-one is shy-four What is the value of the number? The number equals
Answer:
43
Step-by-step explanation:
64-21= 43
Answer:
The answer is 43
Step-by-step explanation:
21+x=64 x=64-21 x=43
Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Find the angle of elevation to the sun given that a 7.6 meter flagpole casts an 18.2 meter shadow on the ground.
Quick Answer please!!!!
Answer:
22.7
Step-by-step explanation:
Okay so the situation given shows a right triangle with the two sides being 7.6 and 18.2. So we can find the angle of elevation using tangent, which is tan-1*7.6/18.2. I got 22.66 so 22.7
Matthew has a shipping carton in the shape of a right rectangular prism. The volume of the shipping carton is 11. cubic meters. The
height of the shipping carton is 7 meters and the width is 2 meters.
What is the length of Matthew's shipping carton?
fraction in simplest form in the box
Answer:
Height = 0.7857 m = 13/16 m
Step-by-step explanation:
Height x 7 x 2 = 11
Height = 0.7857 m = 13/16 m
The price of a 9-minute phone call is $1.35. What is the price of an 11-minute phone call?
Answer:
$1.65
Step-by-step explanation:
[tex]\frac{1.35}{9}[/tex] = $0.15 per 1 min
11 x $0.15 = $1.65
Answer:
Its .15$ for 1 minute so for 11 minute it is 1.65$
Step-by-step explanation:
1.35/9=.15
.15*11=1.65
Hope this helps :)
Carmel rode his horse 1,600 meters east from his house. Then he turned north and rode 1,200 meters, as shown in the diagram below. How far away, in meters, is Carmel from his house?
Answer:
2,800
Step-by-step explanation:
Just add 1,600 and 1,200 I think. I could be wrong good luck :)
Is 9 a solution of the equation 9x+8=7x?
Answer:
Download ka po ng PHOTO MATH app . with solution na yan:) lahat ng problema mo sa solving sagot agad
2(4y) + 4(3r) answer
Answer: 8y+12r
Step-by-step explanation:
Take the equation
2(4y)+4(3r)
Distribute the 2 and 4 into the parenthesis'
8y+12r
can you guys explain this
Answer:
basicly the -6 is the x and the 5 is the y
but the h is 7.8
Step-by-step explanation:
Omar Has a gift card for 25$ at a clothing store. He wants to buy socks that cost 4$ per pair. He also has a coupon for 5$ off his entire purchase. Omar wants to know how many pairs of socks he can buy.
Let p be the number of socks Omar buys. Write an inequality that represents the situation.
Answer:
he can buy 7 pairs of socks
Step-by-step explanation:
4 times 7 = 28
28 - 5 (coupon) = $23
Does a triangle with the side lengths exist 11, 28, 16
Answer:
No; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Step-by-step explanation:
Solve using the quadratic formula.
q2 + 69 + 9 = 0
Answer:
the value of q = -3
Step-by-step explanation:
The computation of the equation is shown below:
Given that
q^2 + 6q + 9 = 0
q^2 + 3q+ 3q + 9
q(q + 3) + 3(q + 3)
(q+3) (q+3)
q = -3
Hence, after solving it the value of q = -3
What is the value of x?
K
х
X-6
Q
P
5
ال)
L
J
Answer:
C
Step-by-step explanation:
The value of x is equal to 9
nequalities in Non Standard Form
Question 1 of 10
Solve the inequality and enter your solution as an inequality comparing the
variable to the solution
-19> x-26
Answer here
Answer:
x < 31 I think
What is 3/10% in fraction form?
Answer:
im pretty sure its 3/10
Step-by-step explanation:
2 + ( x +24) + (2+x) = 40 find the value of x
finds the value of x and Y.
2x+3y=5
X-2y=-1
Answer:
x=1
y=1
Step-by-step explanation:
2x+3y=5.........eq1
x-2y=-1........eq2
therefore: x=-1+2y
Subt. eq 3 into eq2
2x+3y=5
2(-1+2y) +3y=5
-2+4y+3y=5
7y=5+2
7y/7=7/7
y=1
therefore: Subt. y=1 into eq2
x-2y=-1
x-2(1)=-1
x-2=-1
x=-1+2
x=1
Find LM.
A.) 5
B.) 17.32
C.) 9
D.) 8.66
Answer:
Step-by-step explanation:
plz plz plz, HELP!!!! I will give u brainlylist
Answer:
69
Step-by-step explanation:
thats the answer now give me brainliest NOW:)
At Kirby Middle School, some students were surveyed to see which social media app they used the most. The results are shown below.
App
Number of Students
Face
8
Snap
22
Insta
20
Solve and explain how to calculate what percent of students used Snap the most?
In your explanation, be sure to:
Explain how you would set up and solve the problem (scale factor or cross multiply/divide).
Identify the part, the whole, and the percent in your explanation.
Use precise mathematical language and detail in your explanation.
Answer:
She is using fame and GO TO HELL.
Step-by-step explanation:
Pls help extra points and mark brainlist
Answer:
B.
Hope that helps!
Step-by-step explanation:
Answer:
The second one.
Step-by-step explanation:
Because it is has an equal sign, that you can solve x for.
Hope this helps! Have a good rest of you day!
Who knows how to do this please i need help I don’t understand
Answer:
9,4,0,1
Step-by-step explanation:
They give you different values for the X so all you have to do is plug in the X to the different equations