Answer:
The two linear equations represented in system A as :
3 x + 2 y =3 -------(1)
- 2 x - 8 y = -1 ------(2)
(1) × 2 + (2) × 3 gives
⇒ 6 x + 4 y - 6 x - 24 y = 6 -3
⇒ - 20 y = 3
⇒ y =
Putting the value of y in equation (1), we get
Two linear equation represented in system B is:
3. -x - 14 y =1
4. - 2 x - 8 y = -1
-2 ×Equation (3) + Equation (4)=
2 x +28 y- 2 x - 8 y= -2 -1
⇒ 20 y = -3
⇒y =
Putting the value of y in equation (3),we get
As Two system , that is system (A) and System (B) has same solution.
By looking at all the options , i found that Option (D) is correct. The two system will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 2 times the second equation of System A.
2. Paige's sock drawer has 3 pairs of black socks, 6 pairs of green socks, and 1 pair of white
socks. If she picks a pair at random, what is the probability she will pick a green pair?
Help!
AnsweGreen socks
Step-by-step explanation: the is more green socks then black and even if she put in the green socks first the is a 90% chance of getting a black sock.
Answer:
1/10
Step-by-step explanation:
ok byeeee
Simplify each expression by combining like terms.
7a - 6 + 8a
=7a - 6 + 8
=7a + 8a - 6 =15a - 6
What is the constant in the following expression? -8x^2+17y+19
Answer:
(x + 2) • (x - 19)
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 1 • -38 = -38
Step-2 : Find two factors of -38 whose sum equals the coefficient of the middle term, which is -17 .
-38 + 1 = -37
-19 + 2 = -17 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -19 and 2
x2 - 19x + 2x - 38
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-19)
Add up the last 2 terms, pulling out common factors :
2 • (x-19)
Step-5 : Add up the four terms of step 4 :
(x+2) • (x-19)
Which is the desired factorization
Two random integers, a and b, are independently chosen, with replacement, from 1 to 1000, inclusive. What is the probability that both 2^a 2^b and 3^a 3^b are multiples of 5
Answer:
The probability is zero
Step-by-step explanation:
For a number to be a multiple of 5, the number must end with either 0 or 5
These are the only numbers in which we can have 5 as a factor of
Now when we raise 2 to any number, there are only some sets of possible results
These numbers are only multiples of 2
These can be;
2, 4, 6 and 8
No root of two has its end in 0 or 5, so none has 5 has its factor
Let us now look at 3
The multiples of 3 when raised are;
3,9,1,7,
As we can see, at no point do we have 5 or 0 as the result
So since we have none of both as ending 5 or 0, the probability we are looking for is zero
Use the scatter plot of car resale values to answer the following question about making a prediction of the resale value of a
car.
Car Resale Values
100
80
60
40
20
10
Age of Car
Using the regression line, or line of best fit, predict the resale value of an 8-year-old car with an original cost of $15,000.
The 8-year-old car could be worth approximately $2000.
b The 8-year-old car could be worth approximately $5000.
The 8-year-old car could be worth approximately $3000.
d. The 8-year-old car could be worth approximately $4500.
Answer:
The 8-year-old car could be worth approximately $4500.
Step-by-step explanation:
answer on edge 2020
Answer:
C.the 8 year old car can be worth about 3000 just look at the graph
Step-by-step explanation:
#happycheating
what expression is equivalent to (2.1x+4.3) - (-3x-7)
What is the turning point of the graph of f(x) = |x+3| -2?
(-3, -2)
(-2, -3)
(-3, 2)
(2, -3)
Answer:
(-2,-3)
Step-by-step explanation:
I took the test and got it wrong at first but seen the correct answer when I looked at my results.
The turning point of the function f(x) = |x+3| -2 will be (-3, -2).
What is an absolute function?The non-negative value of a real number x without regard to its sign is known as its absolute value or modulus in mathematics and is indicated by the symbol |x|.
Given that the absolute function is f(x) = |x+3| -2. When we plot the graph of the absolute function f(x) = |x+3| -2 it will give two straight lines the first line is on the left side and the second line is on the right side. The graph of the function changes its position at the coordinate ( -3,-2).
Therefore, the absolute function is having its turning point at the coordinate ( -3,-2).
To know more about absolute functions follow
https://brainly.com/question/25971887
#SPJ2
Could someone help me with this? Please provide an explanation! Thank you!
Answer:
if you are solving for x then the answer would be -17/6 or -2 5/6 (mixed number form)
Step-by-step explanation:
PLZZ HURRY!!!
Triangle JKL is transformed to create triangle J'K'L'. The angles in both triangles are shown.
AngleJ = 90° AngleJ' = 90°
AngleK = 65° AngleK' = 65°
AngleL = 25° AngleL' = 25°
Which statement is true about this transformation?
It is a rigid transformation because the pre-image and image have the same corresponding angle measures.
It is not a rigid transformation because the corresponding side lengths are not equal.
It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths have the same measures.
It can be a rigid or a nonrigid transformation because a pair of corresponding angles measures 90°.
Answer:
It’s the third option
Step-by-step explanation:
They preserved the angles
Answer:
It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths have the same measures.
Step-by-step explanation:
edge 2020
a(7x + 3) = b + 14x what are the values of a and b
Answer:
a= 2
b=6
Step-by-step explanation:
Follow me Please
the ratio of North American butterflies to South American butterflies that a butterfly Park is 8:4 the ratio of South American butterflies the European butterflies is 4:2 there are 64 in North American butterflies in a butterfly Park part 1 out of 2 how many South American butterflies are there?
Answer:
5x - North American Butterflies.
3x - South American Butterflies.
5x = 30 (Divide By 5).
x = 6.
3x = 18.
3x - South American Butterflies.
2x - European Butterflies.
2x = 2 * 6 = 12
There Are 12 European Butterflies And 18 South American Butterflies.
Step-by-step explanation:
Mr. Green is putting lights around 8 windows;
each window is 1 and a half metres wide and
2metres long. How many metres of lights
Answer: 24 1/2
Step-by-step explanation:
QUICK !!!
What is the equivalent form of y +2 = -3(2 – 4) in slope-intercept form?
A) y = -3x + 10
B) y=32 + 10
C) y = 3x – 14
D) y= -3x – 14
Answer:
Is there any other Answers?
cuz I got y=4
what is the coefficient of -4(4t^2+4t+1)
Answer:
So 2t%5E2%2B4t-30 completely factors to 2%28t%2B5%29%28t-3%29.
In other words, 2t%5E2%2B4t-30=2%28t%2B5%29%28t-3%29.
Note: you can check the answer by expanding 2%28t%2B5%29%28t-3%29 to get 2t%5E2%2B4t-30 or by graphing the original expression and the answer (the two graphs should be identical).
Step-by-step explanation: hope that helps!
Write the equation of the line that passes through the points (-9,-4) and (-9,4).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
x = -9
Step-by-step explanation:
x = -9 would be the slope because when you see the two points for each coordinate there is no x value but we do see a straight line and we see that there is no y-intercept. So, x= -9 would be the answer. Hope this helps.
9) Choose which postulate proves the triangles congruent. *
A) ASA
B) SSS
C) AAS
D) SAS
E) HL
there are 40 black balls this is 4 more than twice the number of yellow balls how many yellow boll are there
Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers. The number of yellow balls is 36.
What is Addition?Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.
Given there are 40 black balls this is 4 more than twice the number of yellow balls. Therefore, we can write,
Number of black balls = Number of yellow balls + 4
40 = Number of yellow balls + 4
Number of yellow balls = 36
Hence, the number of yellow balls is 36.
Learn more about Addition:
https://brainly.com/question/13167637
#SPJ2
My question is in the picture I tried to multiply -7 on both sides and got -147 I don't know if it's correct or if it's the right way to do it.
Answer:
-3
Step-by-step explanation:
-7b = 21
/ -7 / -7
b = -3
Answer:
-3
Step-by-step explanation:
Hope this helped have an amazing day!
Help me plz!!!!!!!!!!!!!!!!!!
Answer:
17.3 repeating
Step-by-step explanation:
let me know if you need the steps
Answer:
52/3 or 17 whole number 1/3
I need the distance
[tex]\sqrt{(-1+12)^2+(-7-1)^2}[/tex]
[tex]\sqrt{11^2+(-8)^2}[/tex]
[tex]\sqrt{121+64}[/tex]
[tex]\sqrt{185}[/tex]
≈13.6
1. Martin was given 10 math problems, and he has answered 7 of them. what precent of problems does martin have left to do?
A) 3%
B) 7%
C) 30%
D) 70%
Martin still has 30% of the problems left to do.
Answer:
D)30%
Step-by-step explanation:
Write each number as a product using the GCF as a factor, and apply the Distributive Property. 30+78
Answer:
108
Step-by-step explanation:
how do we find the value of y when x = 0
Answer:
both variables are just 0-
I need help setting the proportion !!!! ASAP
Answer: That looks like work what are u trying to find
Step-by-step explanation:
Plz help
Simplify 6(x + 4)
Step-by-step explanation:
Given
6( x + 4)
= 6x + 24
Hope it helps :)❤
Final Answer: [tex]6x + 24[/tex]
Steps/Reasons:
Question: Simplify [tex]6(x + 4)[/tex]
Step 1: Expand by distributing the terms.
[tex]6x+ 6[/tex] × [tex]4[/tex]
Step 2: Simplify [tex]6[/tex] × [tex]4[/tex] to [tex]24[/tex].
[tex]6x + 24[/tex]
~I hope I helped you :)~
Can someone explain to me how to get the answer:
-3 |2d| = 12
-3×2d=12
-6d=12
d=12÷(-6)
then d= -2Hope this helps.
Use your knowledge of similar triangles to solve for x
9514 1404 393
Answer:
x = 10 2/3
Step-by-step explanation:
The ratios of corresponding sides are the same, so we have ...
x/8 = 8/6
x = 8·(8/6) = 64/6
x = 10 2/3
A recording studio charges musicians an initial fee of $50 to record an album. Studio time costs an additional $75 per hour. Write a linear model that represents the total cost C of recording an album as a function of studio time(in hours). Use the variable t to represent the number of hours the recording studio is used
Answer:
C=$50+$75×T
Step-by-step explanation:
$50 is the amount charged to record an album + 75 amount charged per hour ×T which is how much hours you are going to record an audio.
Triangle A is reflected in the x axis to give triangle B, which is then reflected in the line y=x to give Triangle C. Draw Triangle C.
Answer:
The coordinates of triangle C on the grid are
(-5,4) , (-2,2) and (-2,4)
Step-by-step explanation:
We can identify the coordinates of the vertices of the triangles so as to get a diagram
For the first triangle, we have the following coordinates;
(4,5) , (2,2) and (4,2)
Now, let us get the coordinates of triangle B after reflecting triangle A in the x-axis
what we have in this case is that the x-axis coordinates stays same while the y-axis values are negated
Hence, the coordinates of triangle B are;
(4,-5) , (2,-2) and (4,-2)
Lastly we are to reflect triangle B in the line y = x so we get triangle C
A reflection over the line y= x means that we are going to switch the place of the x and y coordinates of the pre-image
So, the coordinates of triangle C are;
(-5,4) , (-2,2) and (-2,4)
The coordinates of triangle C are (-5,4) , (-2,2) and (-2,4)
From the given image the vertices of the triangles are
Triangle A has coordinates (4,5) , (2,2) and (4,2)
After reflecting triangle A in the x-axis, triangle B is obtained
On reflection in x-axis, the x-axis coordinates remain same while the y-axis coordinates become negative with the same magnitude.
Hence, the coordinates of triangle B are (4,-5),(2,-2) and (4,-2)
Now as triangle B is reflected by the line y = x to get triangle C, the x and y coordinates of triangle B are interchanged.
So, the coordinates of triangle C are (-5,4),(-2,2) and (-2,4)
Learn more about transformation by reflection on axis:
https://brainly.com/question/15476267
A building is 50 feet tall and casts a 25 foot shadow. If Mark is 6 feet tall, how long would
his shadow be?
Answer:
Mark's shadow would be 3 feet.
Step-by-step explanation:
If a building is 50 feet tall and casts a 25 foot shadow, then the shadow of an object is 1/2 the length of the actual object.
This can be supported by the division problem:
50 ÷ 2 = 25
If Mark is 6 feet tall, then we need to divide 6 by 2 in order to find the length of the shadow.
6 ÷ 2 = 3
Therefore, Mark's shadow would be 3 feet.
Hope this helps! :D