Is (-7, -3) a solution to this system of equations?
x = -7
y = -x - 10
Yes or no
Answers
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Explanation:
The point (-7,-3) means x = -7 and x = -3
Right off the bat, the first equation x = -7 is proven true based on the first coordinate.
Let's now plug the coordinates into the second equation.
y = -x-10
-3 = -(-7)-10
-3 = 7-10
-3 = -3
Which is a true statement.
Both equations are true when (x,y) = (-7,-3)
This is why it is a solution to the system. It turns out it's the only solution to this system. This system is consistent and independent.
You can use a graphing tool like Desmos to plot the two equations, and you should see them crossing at the point (-7,-3)
Answer:
The answer is yes
*View the attached graph to check your answer graphically.*
Step-by-step explanation:
x = -7
y = -x - 10
For this problem, I will be using substitution, since the second equation is already in the slope-intercept form.
First, I will substitute the first equation, for x, into the first equation:
x = -7
y = -x - 10
y = -(-7) - 10 <== multiplying two negatives, makes a positive
y = 7 - 10
y = - 3 <== the value of y
Now, we find the value of x by substituting - 3 for y:
y = -x - 10
- 3 = -x - 10
+10 +10
7 = -x <== you can't have a negative variable
/-1 /-1
-7 = x <== the value of x
(x, y) ==> (-7, -3)
Therefore, yes (-7,-3) is a solution to this system of equations.
*View the attached graph to check your answer graphically.*
Hope this helps!
Related Questions
200 divided by 5 what is the answer
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Answer:
40
Step by Step:
200/5 = 40
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What is the area of the quadrilateral
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Area = base*height
Area = 4*6 = 24
To calculate the triangular area on both sides it’s:
Area = 1/2* base* height
Area = 1/2*2*6 = 6
Since there is two triangular area and one rectangle it’s:
24+6+6 = 36 square feet
what is the genaral term of this number pattern ? 45,41,37,33,29
Answers
Answer:
-4n + 49
Step-by-step explanation:
it is going down by 4 each step, hence, -4 and 45 -- 4 = 45 + 4 = 49.
Answer:
aₙ = -4n + 49Step-by-step explanation:
45, 41, 37, 33, 29, ....
a₁ = 45
a₂ = 45 - 4 = 41
a₃ = 41 - 4 = 37
a₄ = 37 - 4 = 33
a₅ = 33 - 4 = 29
...
It's an arithmetic sequence.
a₁ = 45, d = -4
A general term of an arithmetic sequence:
aₙ = a₁ + (n - 1)d
Substitute:
aₙ = 45 + (n - 1) · (-4) = 45 - 4n + 4 = -4n + 49
To determine the number of rams in a conservation area, a researcher catches and marks 103 rams. Then the researcher releases them. Later, 89 rams are caught and it is found that 21 of them are tagged. About how many rams are in the conservation area?
There are about rams in the conservation area.
(Round your answer to the nearest whole number as needed.)
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Answer:
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Consider functions f and g
Answers
Answer:
A
Step-by-step explanation:
[tex] f(x) = \dfrac{x - 16}{x^2 + 6x - 40} [/tex]
[tex] g(x) = \dfrac{1}{x + 10} [/tex]
[tex] f(x) + g(x) = \dfrac{x - 16}{x^2 + 6x - 40} + \dfrac{1}{x + 10} [/tex]
[tex] f(x) + g(x) = \dfrac{x - 16}{x^2 + 6x - 40} + \dfrac{(x - 4)}{(x + 10)(x - 4)} [/tex]
[tex] f(x) + g(x) = \dfrac{x - 16 + x - 4}{x^2 + 6x - 40} [/tex]
[tex] f(x) + g(x) = \dfrac{2x - 20}{x^2 + 6x - 40} [/tex]
Answer: A
4. If you spin the spinner twice, what is the probability that the spinner will land on 5 on the first spin and 2 on the second spin?
1/16
3/16
1/8
1/4
Answers
Answer:
1/16
Step-by-step explanation:
Given in comment:
5,4,3,2 = Spinner
Thus, there are 4 possible answer
Given:
If you spin the spinner twice, what is the probability that the spinner will land on 5 on the first spin and 2 on the second spin?
1/16
3/16
1/8
1/4
Solve:
Knowing that there only One 5 and One 2 on the spinner.
Thus, in fraction form - 1/4 and 1/4
Probability land on 5 = 1/4
Probability land on 2 = 1/4
Because there are 4 possible solution and one of each is 5,4,3,2
Now, multiply then together:
1/4 × 1/4 = {1 ×1 = 1 and 4 × 4 = 16}
Put Together:
1/16
Hence, the answer is " The Probability that the spinner will land on 5 on the first spin and 2 on the second spin is 1/16
~Lenvy~
Answer:
1/16
Step-by-step explanation:
so, per your additional information the "spinner" has 4 possible results : 5, 4, 3 ,2
I guess, they are like the six numbers on a die equally probable.
that means the probabilty to get one of the 4 possible answers is 1/4 (desired outcomes over all possible outcomes).
now, to make the experiment twice and link the results as one desired outcome (like a 5 and a 2, or two 4s, or ...), we can multiply the probabilities as combined events without overlapping.
why ?
similar to a die with 6 possible results, we have here for every one of the 4 possible results of the first spin, we have 4 possible results of the second spin.
so, the probability of one particular set of 2 results is
1/4 × 1/4 = 1/16
in other words, it is 1/4 to get 5 on the second spin, and 1/4 to get 2 on the second spin. because we want both to happen as one desired result, both events have to happen as combination (and not as "or"). hence the multiplication.
What's the answer pls help
Answers
Answer:
x = 8
Step-by-step explanation:
Both these angles are equal because they are equal. So we make this equation:
8x + 36 = 5x + 60
-5x -5x
3x + 36 = 60
-36 -36
3x = 24
Divide both sides by 3:
x = 8
(b) The volume of water in a container is
directly proportional to the cube of its depth.
When the depth is 12 cm, the volume is 576 cm3.
Calculate
(i) the volume when the m is 1300 cm?. [2]
Answers
Answer:
See below.....Something is wrong with your question
Step-by-step explanation:
v = k d^3 or k = v/d^3 = 576/12^3 = 1/3
when depth (??? m??) is 1300 :
1/3 = v / (1300^3) = 732 333 333 .3 cm^3
Complete the equation so that it has infinitely many solutions.
12x−x+8+3x=
Answers
Answer:
= 14x +8
Step-by-step explanation:
For the equation in one variable to have infinitely many solutions, it must be true for all values of x. That is, the left side and the right side must simplify to identical expressions.
The left side simplifies to ...
12x -x +8 +3x = (12 -1 +3)x +8 = 14x +8
So, we can give the equation infinitely many solutions if the right side is 14x +8:
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Answers
You can separate it to 6w*6w*6w so then 6*6*6=216 and w*w*w=w^3
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Zion Sun Chairs manufactures 3,575 beach chairs each month. Determine the minimum sales price
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O $57.03
O $64.50
O $81.25
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Answer:
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Step-by-step explanation:
Kaylee was out at a restaurant for dinner when the bill came. her dinner came to $24. after adding in a tip, before tax, she paid $28.08. find the percent tip.
Answers
Answer:
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subtract/originial*100=lercent change
4.08/24=0.17*100=17
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A. 8(3 + 8x)
Step-by-step explanation:
Hope it helps you in your learning process
What is the space between two intersecting lines called?.
Answers
Answer:
The space between two intersecting lines is called an:
Angle
An angle is formed when two lines meet at a shared point. They are measured in degrees. There are four important types of angle; acute, right, obtuse, and reflex. A full circle has 360 degrees. If you see an angle of 720 degrees, it means it has rotated twice around a full circle.
360 degrees (one time round) x 2 = 720 degrees (two times round)
Step-by-step explanation:
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#TheWizzer
Evaluate −x^2+4x+1 when x=−2.
Answers
Hey there!
In order to evaluate this expression, we need to plug in the value of x (-2)
So we have
-x²+4x+1
plug in -2
-(-2)²+4(-2)+1
-4-8+1
-12+1
-11
Hence, the answer's
[tex]\boxed{\boxed{\bold{-11}}}[/tex]
Hope everything is clear.
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#ILoveLearning
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Because any number to the power of zero will be one.
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Step-by-step explanation:
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Answers
Answer:
(a) x<=2
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Hope this helps:)
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Answers
Answer:
15
Step-by-step explanation:
if 2x-10=12 then
2x=22 so
X=11
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Answer:
15
Step-by-step explanation:
1. we find what x is by finding out the first equation:
2x - 10 = 12
Add 10 to both sides (it cancels out on the first side)
-10 + 10 = 0 (cancels out)
12 + 10 = 22
2x = 22
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Answers
Answer:
X = 2.8
Step-by-step explanation:
5x+2=16
5x=16-2
5x=14
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Answers
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Step-by-step explanation:
Just did the test
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Answers
Answer:
b = 25°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , that is
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Answers
Answer:
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Step-by-step explanation:
What you need to know is the formula for the air of a rectangle:
the long side * the short side.
First calculate the area of the rectangle in the middle: 3*8=24ft
Then we are left with two right-angled triangles, one on the left and one on the right. If we juxtapose them, we realize that it forms a rectangle whose large side measures 8 and the small 2 so 2*8=16ft.
Finally, just add the area of the middle rectangle with the area of our rectangle formed by the two triangles on the right and on the left. So 16+24=40ft
Please help!!!
Mr. Johnson's class will study one sea animal for the next week. Which group should Mr. Johnson survey to find the type of sea animal his students should study?
A: His students
B: Teachers at his school
C: Parents of his students
D: Workers at a sea animal park
Answers
Answer:
A He should ask his students to know what they prefer
Step-by-step explanation:
x/4+<2/7 I need help i'm stuck
Answers
Answer:
X< 7/8
Step-by-step explanation:
X< 2/7×4
X< 2×4/7
X< 7/8
Answer:
[tex]\boxed{\sf{x < -\dfrac{20}{7} }}[/tex]
Step-by-step explanation:
To solve this problem, all you have to do is isolate it on one side of the equation.
x/4+<2/7
First, multiply by 4 from both sides.
x/4*4+4<2/7*4
Solve.
2*4=8
Rewrite the problem down.
x+4<8/7
Then, you subtract by 4 from both sides.
x+4-4<8/7-4
Solve.
x<-20/7
Therefore, the correct answer is x<-20/7.
I hope this helps you! Let me know if my answer is wrong or not.
Which statement accurately describes the contents of the two boxes in the image?
A. The box on the top consists of a mixture while the box on the bottom consists of a pure substance.
B. Both boxes consist of pure substances.
C. The box on the top consists of a pure substance while the box on the bottom consists of a mixture.
D. Both boxes consist of mixtures.
Answers
The statement that describes the content of the two boxes is that the box on the top contains a pure substance, while the one on the bottom contains a mixture.
What is the difference between a pure substance and a mixture?A pure substance often refers to a specific element such as nitrogen, helium, etc. that has not been modified or mixed with others.
On the other hand, a mixture includes two or more elements mixed.
What is the content of the first box?The first box contains only nitrogen, which is a pure substance.
What is the content of the second box?Different from the first box, this box contains two types of substances carbon and oxygen, which is why particles have two different colors. This means the content is a mixture.
Learn more about substances in: https://brainly.com/question/24372098
HELP.
can someone give me an explanation of how to do this? i just want to know how to apply the explanation to other problems!
Answers
Mid point of any two points (x1,y1) and (x2,y2)
is ((x1+x2)/2,(y1+y2)/2)
using this
we get coordinates of d are (a,-2b)
The first two terms of an arithmetic sequence are 7 and 11. Which of the following is the value
of its 30th term
Answers
Answer:
123
Step-by-step explanation:
Add 4 enough times to 11 and you will get there.