HELPPPPP PLEASE
(04.02 MC)
What is the solution to the following system of equations?
4x + 2y = 6
x - y = 3
(2, 1)
(-2, -1)
(2, 4)
(2, -1)
Answers
======================================================
Explanation:
Double everything in the second equation to go from x-y = 3 to 2x-2y = 6.
So we have this equivalent system of equations
[tex]\begin{cases}4x+2y = 6\\2x-2y=6\end{cases}[/tex]
We can then add straight down. The x terms add to 6x. The y terms go away because they add to 0. The stuff on the right hand sides add to 12.
After those three sets of addition operations, we have the new equation 6x = 12 which solves to x = 2 after dividing both sides by 6.
Now use x = 2 with any of the equations mentioned that have x,y involved so we can solve for y.
4x+2y = 6
4(2)+2y = 6
8+2y = 6
2y = 6-8
2y = -2
y = -2/2
y = -1
or we could say
x-y = 3
2-y = 3
-y = 3-2
-y = 1
y = -1
Either way, we get the same y value.
Since x = 2 and y = -1 pair up together, we get the ordered pair solution (x,y) = (2, -1). Therefore, the answer is choice D.
If you were to graph the two equations, as shown below, the two lines intersect at (2,-1). This point is on both lines at the same time. This is visual confirmation that the point is a solution to both equations. Though you should still algebraically check each original equation.
Related Questions
Pls help on 1 and 2. I have no idea what I'm supposed to do.
Answers
Choose all the factors of 12. (Check all that apply.)
10
9
2
6
3
8
5
12
7
11
4
1
Answers
EXPLANATION: When a question asks you the factors of a number it is basically just asking you what number are in the multiplication of 12. The numbers all tie in with the number 12 when they are multiplied
EX:
-1 * 12 = 12
-2*6=12
-3*4=12
-6*2=12
Answer: 1, 2, 3, 4, 6, 12
Step-by-step explanation:
Factors is what makes the number by multiplication
so 1 x 12 is 12,
2 times 6 is 12
3times 4 is 12
Drag each tile to the correct box.
Find the decreasing functions and arrange them in order from least to greatest y-intercept.
y = 2.5x + 10
y = -0.5x + 0.5
y = -4.5x + 3
y = -0.5x − 5
y = -2x + 7
y = -5x − 12
↓
↓
↓
↓
Answers
y = -5x - 12
y = -0.5x - 5
y = -0.5x + 0.5
y = -4.5x + 3
y = -2x + 7
y = 2.5x + 10
Answer:
from least to greatest y-int
y = -5x - 12
y = -0.5x - 5
y = -0.5x + 0.5
y = -4.5x + 3
y = -2x + 7
y = 2.5x + 10
Step-by-step explanation:
Is the following question a statistical question:
How far do students live from their school building?
In complete sentences, explain why or why not.
Answers
Answer:
they live 10 miles away form school.
The solution is : Is in, general, how tall are giraffes? is a :
Statistical question.
What is statistic?A statistic (singular) or sample statistic is any quantity computed from values in a sample which is considered for a statistical purpose. Statistical purposes include estimating a population parameter, describing a sample, or evaluating a hypothesis.
Given question
Is in, how tall are giraffes?
Statistical question is that type of question which have more than one possible answers. The answer of statistical question is the collection of various points of data. The answer of statistical question depends on variety and situations. The answer of statistical question may be range . Answer of statistical question are more than one.
Non statistical question is that type of question which have only one answer.
For example, the value of 2+2
Answer: 2+2=4
It has only one answer .Therefore , it is non statistical question.
Given question is a statistical question because the height of all giraffes are not same . Height of some giraffes are same and some giraffes have same height. The height of female giraffes are smaller than the height of male giraffes.
The range of height of male giraffes lies between 16 feet to 20 feet.
learn more on statistic:
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complete question:
Is in, general, how tall are giraffes? A statistical question or non statistical question
Evaluate the expression shown below and write your answer as a fraction in simplest form.
Answers
Answer:
39/80
Step-by-step explanation:
Answer:
ok so first we have to make these fractions into the same fraction on the bottom
140/320+16/320=0.4875 which as a fraction is 39/80
Hope This Helps!!!
(25 POINTS) (TIMED) Which statements about this system of equations are true? Check all that apply.
-x + 6 y = 16
8 x - 6 y = -2
O The x-variable will be eliminated when adding the system of equations.
O The y-variable will be eliminated when adding the system of equations.
O The sum of the system of equations is Negative 8 x = 14.
O x = 2
O y = 3
O There is only one solution to the system of equations.
Answers
make me the brainliest:))<3
Lorenzo’s test scores are shown below.
Lorenzo’s Test Scores
A dot plot titled Lorenzo's Test Scores. A number line going from 80 to 90. 0 dots are above 80, 81, and 82, there is 1 dot above 83, 2 above 84, 2 above 85, 2 above 86, 2 above 87, 0 above 88 and 89, and 1 above 90.
Anika’s test scores are shown below.
Anika’s Test Scores
A dot plot titled Anika's Test Scores. A number line going from 80 to 90. There are 0 dots above 80, 81, 82, and 83, 3 dots above 84, 2 above 85, 2 above 86, 3 above 87, and 0 dots above 88, 89, and 90.
Which statement compares the shape of the two dot plots?
There is a gap in both plots.
There is a gap in Anika’s scores, but not in Lorenzo’s scores.
The data is widely spread across both plots.
The data is more widely spread for Lorenzo’s scores than for Anika’s.
Answers
Answer:
The data is more widely spread for Lorenzo’s scores than for Anika’s.
Step-by-step explanation:
Answer:
The data is more widely spread for Lorenzo’s scores than for Anika’s.
Step-by-step explanation:
In other words "D" trust me
Drag each label to the correct location on the table. Each label can be used more than once, but not all labels will be used.
Simplify the given polynomials. Then, classify each polynomial by its degree and number of terms.
Answers
Have attached the picture which has the answers plus explains the solution...
Hope that helps
The simplification, its degree and number of terms of the given polynomials is given below.
What is polynomial?
Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer
Given:
1. (x-1/2)(6x+2)
Simplified form: 6x²-x-1
Name by degree : Quadratic
Number of terms: Polynomial.
2. (7x²+3x)-1/3(21x²-12)
Simplified form: 3x+4
Name by degree : Linear
Number of terms: Binomial.
3. 4(5x²-9x+7)+2(-10x²-18x-13)
Simplified form: 2
Name by degree : constant
Number of terms: monomial.
Learn more about polynomial here:
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Need Help!!
Graph the first 6 terms of a sequence where a1 = −3 and d = 4.
Answers
Answer:
thats what i got hope you have a good day :)
Step-by-step explanation:
a1=3
d=-10
………………….
D = ______
R = ______
Answers
Answer:
picture unclear
Step-by-step explanation:
Answer:
. a real coordinate space of dimension n, written Rn or R n {\displaystyle ... C 1 > 0 , ∃ C 2 > 0 , ∀ x , y ∈ R n : C 1 d ( x , y ) ≤ q ( x − y ) ≤ C 2 d ( x , y ) . {\displaystyle \exists C_{1}>0,\ \exists C_{2}>0,\ \forall \mathbf {x} ,\mathbf ...
Step-by-step explanation:
Which of the equations is graphed below?
Answers
Answer:
D
Step-by-step explanation:
Slope of -2 that's going through y=1
so y=-2x+1
What are some transformations that would map DFE to ABC on this coordinate plane? Other than a unit movement
Answers
Answer: You could use a translation since the shape is maintaining its orientation and size. All it’s doing is moving to the right.
A rectangular portrait is 2 yards wide and 2 yards high. It costs $7.61 per yard to put a gold frame around the portrait. How much will the frame cost?
Answers
Answer:
$60.88
Step-by-step explanation:
2 yards wide and 2 yards high so thats 2 yards per side x 4 is 8, 8 x $7.61 is $60.88
hope this helps:)
⬜️⬜️
⬜️⬜️
the frame only goes around the edge of the portrait, so we should count how many yards there are on each edge
1. 2
8 ⬜️⬜️ 3
7 ⬜️⬜️ 4
6. 5
then, we multiply the 8 yards by the $7.61.
the answer is $60.88!
pls answer my question i am not sure
Answers
Answer:
Calculation: 3 1/2 - 4 1/7 - fraction calculator. ... How do you solve fractions step by step? ... to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.
Answer: 288 √3
—————-
13
Step-by-step explanation:
Identify the initial value and rate of change for the graph shown
A coordinate plane graph is shown. A line passes through the y-intercept at 1 and through the point 5 comma 4.
Initial value: 1, rate of change 3 over 5.
Initial value: 3 over 5., rate of change: 0
Initial value: 1, rate of change 5 over 3.
Initial value: 5 over 3., rate of change: 0
Answers
What is the distance from P to Q if P is (3,-1) and Q is (-1,-4)
A. 1 unit
B. 5 units
C. 25 units
D. 7 units
Answers
Answer:
Using the distance formula the answer is 5
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Question 5(Multiple Choice
HELP QUICKKKKKKJJ
Worth 1 points)
(04.02 LC)
Solve the following system of equations:
x + 3y = -4
X + 5y = -6
(1, 1)
(-1, 1)
(1, -1)
(-1,-1)
Answers
Y=(-6-x)/5
(-4-x)/3=(-6-x)/5
-20-5x=-18-3x
-5x+(3x)=-18+20
-2x=2
X=2/-2=-1
-1+5Y=-6
5Y=-6+1
5Y=-5
Y=-1
-x+-3y=4
x+5y=-6
2y=-2
y=-1
x+3(-1)=-4
x-3=-4
+3=+3
x=-1
Help :')
What integer does the arrow indicate?
-9
-14
-3
6
Answers
Answer:
-9
Step-by-step explanation:
Doesn't it already say -9...
The blue shape is a dilation of the black shape. What is the scale factor of the dilation? Simplify your answer and write it as a fraction or whole number.
Answers
Answer:
3 or 3/1 (the 1 is the denominator)
Step-by-step explanation:
the shape got 3 times bigger. let me know
The measures of two angles in a triangle are 32o and 78o. Which of the following equations could be used to find the measure of the third angle, x?
(the ¨o¨ is a degree symbol)
180−32+78=x
180−32=x−78
180−(32+782÷2)=x
32+78+x=180
Answers
Answer:
32+78+x=180
Step-by-step explanation:
All triangle angles add up to 180, so add 78 and 32 then subtract it from 180 to get x, which in another form is 32+78+x=180.
Answer:
32 + 78 + x = 180
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180, that is
32 + 78 + x = 180
Evaluate the expression shown below and write your answer as a fraction in simplest form.
Answers
Answer:
9/40
Step-by-step explanation:
[tex]17/20 - 5/8\\[/tex]
-> [tex](34-25)/40[/tex]
-> [tex]9/40[/tex]
34/40 - 25/40 = 9/40
9/40 is the answer
please help i dont know
Answers
Answer:
a/4x-3
Step-by-step explanation:
4 'x' box means: 4x, 3 '-' box means: -3
Answer:
a) 4x-3
I hope this helps have a great day
State the domain & range!
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
Domain: {-4, -3, 0, 2}
Range: {-2, -1, 1, 5}
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
The domain are all the given x-values in the function. The range are all the given y-values of the function.Usually in a table, the domain values are on the left and the range values are on the right.⸻⸻⸻⸻
Knowing This:
Domain: {-4, -3, 0, 2}
Range: {-2, -1, 1, 5}
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A) what is the simplified product of seven-fourths divided by eight-fifths as an improper fraction
B) what is this number as a mixed number
Answers
Answer:
A)First were going to put our numbers in perspective.
[tex]\frac{7}{4}[/tex] ÷ [tex]\frac{8}{5}[/tex]
But to find the improper fraction, we have to cross multiply these numbers.
[tex]\frac{7}{4}[/tex] × [tex]\frac{8}{5}[/tex]
7 x 5 = 35.
4 x 8 = 32.
Now we have our improper fraction is [tex]\frac{35}{32}[/tex]
B)To turn our improper fraction into a mixed number, we will use division.
We know that the 32 can only go into 35 one time. We also know that the bottom number always stays the same. So our equation will look somewhat like this.
[tex]1\frac{?}{32}[/tex]
Now to fine the top number we will have to subtract 35 from 32 because we already know that 32 can go into 35 one time, so 35 - 32 = 3. So are mixed number will look like this.
[tex]1\frac{3}{32}[/tex]
This is our answer!
Answer:
7/4 ÷ 8/5
A. First, we need to do the reciprocal of 8/5.
7/4 x 5/8 = 35/32
B. Now, we need to convert it into a mixed number. Divide 35 by 32. 32 goes into 35 one time. 35 - 32 = 3, so remainder 3. We use 1 as the whole number since 32 goes into 35 one time. We use the remainder 3 as the numerator, and 32 as the denominator.
1 3/32
Hope this helps u have a great day :)
Does anyone know how to do this?
Answers
Answer:
201.0619298297
Step-by-step explanation:
arc length formula
[tex]\pi \: \times r ^{2} = \\ \pi \times 8 ^{2} [/tex]
Evaluate the expression shown below and write your answer as a fraction in simplest form.
Answers
Answer:
17/24
Step-by-step explanation
Answer:
17/24
Step-by-step explanation:
First, find the common denominator.
Common denominator = 24
1/12 * 2 = 2/24
5/8 * 3 = 15/24
Add.
2/24 + 15/24 = 17/24
Can 17/24 be simplified?
17/24 can not be simplified, because 17 is a prime number and 24 is not divisible by 17 without getting a decimal.
Eight hundred tickets are sold for a play. Thirty-five percent of those tickets were sold in advance. Which equation can be used to find the number of tickets sold in advance? StartFraction 800 divided by 8 Over 35 divided by 8 EndFraction = StartFraction 100 Over 4.375 EndFraction StartFraction 100 divided by 8 Over 800 divided by 8 EndFraction = StartFraction 12.5 Over 100 EndFraction StartFraction 35 times 8 Over 800 times 8 EndFraction = StartFraction 280 Over 6400 EndFraction StartFraction 35 times 8 Over 100 times 8 EndFraction = StartFraction 280 Over 800 EndFraction
Answers
Answer:
0.35(800)=x
x=number of tickets sold in advance
Step-by-step explanation:
Answer:
Divide 35÷100 which equals 0.35 then multiply 0.35×800 which equals 280 so the answer is 280 so the equation is 0.35×800=280.
Step-by-step explanation:
Please help-!
Which of the following are integers?
- 13/14
0
-16
147
1000000
-3
-0.35
Answers
An integer is a whole number that can be negative or positive.
The answers are...
0,-16,147, 1000000,and -3
Answer:
0，-16，147，1000000，-3
hope it helps you
Step-by-step explanation:
State the domain & range!
Answers
Answer:
Domain=x:x is a natural number less than 6: x≠4
Range= x:x is a natural number, 3>=x<=1
Range is (1,2,3)
Grace adopted a kitten, Fluff, from the animal shelter. Fluff weighed 3.5 lbs. when she was adopted and has gained weight at a rate of 1.5 lbs. per week. Which equation could be used to determine after how many weeks, x, Fluff would weigh 12.5 lbs.?
3.5x+12.5=1.5
3.5x+1=12.5
3.5+1.5x=12.5
3.5−1.5x=12.5
Answers
Answer:
C: 3.5+1.5x=12.5
Step-by-step explanation:
i think this is correct because in the question they use the word Gain which means you would add. But also this answer is correct because the kitten had gain 1.5 pounds PER WEEK which make 1.5x
so your answer is 3.5+1.5x=12.5
Hope this helps have a good day
and if correct pls mark me brainliest
thank you bye
Answer:
3.5 +1.5x = 12.5 (third option top- down)
Step-by-step explanation:
given : weighted 3.5 lbs. then gained 1.5 lbs. per week ended up 12.5 lbs.
translate: 3.5 + 1.5 * x = 12.5