Solve the given system using the method of Example 3.25. x1 − x2 = 1 3x1 + x2 = 3 x = 1 0 Correct: Your answer is correct.

Answers

Answer 1

Answer:

[tex]x_1 = 1[/tex]

[tex]x_2=0[/tex]

Step-by-step explanation:

The question is incomplete as the method is not given.

However, the question can still be solved.

Given

[tex]x_1 - x_2 = 1[/tex]

[tex]3x_1 + x_2 = 3[/tex]

Make xi the subject in the first equation

[tex]x_1 = 1 + x_2[/tex]

Substitute 1 + x2 for xi in the second equation

[tex]3(1+x_2)+x_2 = 3[/tex]

Open bracket

[tex]3+3x_2+x_2=3[/tex]

[tex]3+4x_2=3[/tex]

Collect Like Terms

[tex]4x_2 = 3-3[/tex]

[tex]4x_2 =0[/tex]

Solve for x2

[tex]x_2=0/4[/tex]

[tex]x_2=0[/tex]

Recall that:

[tex]x_1 = 1 + x_2[/tex]

[tex]x_1 = 1+0[/tex]

[tex]x_1 = 1[/tex]


Related Questions

What is the slopeWhat is the slope of this
linear equation:
2x+3y= -4x+9 of this linear equation: 2x+3y= -4x+9

Answers

Answer:

Slope = -2

Step-by-step explanation:

Equation in slope intercept form:

y = -2x + 3

Meaning slope equals -2

3. At a road work site, 20 cones are placed along 50 feet of road. How many cones are placed
along 35 feet of road? *

Answers

Answer:

14 cones

Step-by-step explanation:

20/50=0.4

0.4 times 35=14

Please help, I’ve been stuck

Answers

I think the answer is B
I am not sure but I think it’s B

Tara's website, verdantveggies.com, specializes in the sale of rare or unusual vegetable seeds. Tara sells packets of sweet-pepper seeds for $2.85 each and packets of hot-pepper seeds for $4.29 each. She also offers a 16-packet mixed-pepper assortment combining packets of both types of seeds at $3.30 per packet. How many packets of each type of seed are in the assortment?​

Answers

Answer:

Let's define the variables:

S = # of sweet pepper seeds in the mix pack.

H = # of hot pepper seeds in the mix pack.

Let's suppose that $3.30 is the mean price of the seeds in the mix pack.

Then we have two equations:

S + H = 16.

(S*$2.85 + H*$4.29)/16 = $3.30

Now let's solve this system.

The first step is isolating one variable in one of the equations, i will isolate S in the first equation.

S = 16 - H.

Now we can replace this in the second equation, and solve it for H.

( (16 - H)*$2.85 + H*$4.29)/16 = $3.30

( (16 - H)*$2.85 + H*$4.29) = $3.30*16 = $52.80

$45.60 + H*$1.44 = $52.80

H*$1.44 = $52.80 - $45.60 = $7.20

H = $7.20/$1.44 = 5

Then in the mix pack there are 5 hot-pepper seeds.

And the other 11 must be sweet-pepper seeds

Algebraic equations are equations that contain unknown variables.

The number of packets of sweet-pepper seeds is 11 and the number of packets of hot-pepper seeds is 5.

Let's represent:is

The number of packets of sweet-pepper seeds = s

The number of packets of hot-pepper seeds = h

Based on this question, our system of equations are:

$2.85 x s + $4.29 x h = $3.30(16)

2.85s + 4.29h = 52.8...........Equation 1

s + h = 16...........Equation 2

s = 16 - h

We substitute 16 - h for s in Equation 1

2.85(16 - h) + 4.29h = 52.8

45.6 -2.85h + 4.29h = 52.8

Subtract 45.6 from both sides

45.6 - 45.6 -2.85h + 4.29h = 52.8 - 45.6

1.44h = 7.2

h = 5

There are 5 hot-pepper seeds in the assortment.

Solving for the number of sweet-pepper seeds.

s = 16 - h

s = 16 - 5

s = 11

There are 11 sweet-pepper seeds in the assortment.

Therefore, the number of packets of sweet-pepper seeds is 11 and the number of packets of hot-pepper seeds is 5.

To learn more, visit the link below:

brainly.com/question/12978834

Somebody please answer this question I’m begging you

Answers

Answer: The answer is A, the y value increases by 1.5 as the x value increases by 1. Therefore A does not describe the graph.

PLEASE HELP ME IM BEGGING YOU!!!
FIND THE VALUE OF X

Answers

84 I'm sure it's that I did it before

x equals 84°, option D (:

What is the interquartile range (IQR) of the salaries?
25
35
70
100

Answers

Answer:

First you order the data from least to greatest

then find the mean

next you Calculate the median of both the lower and upper half of the data

The IQR is the difference between the upper and lower medians.

Step-by-step explanation:

Alex needs to bisect ∠ABC using a compass and straightedge. He starts by performing the following steps. Step 1: Place the compass on vertex B of the angle. Step 2: Draw an arc that intersects both sides of the angle. Step 3: Label these intersections as point D and point E . Step 4: Place the compass at point D and draw an arc in the interior of the angle. What are the next steps Alex should take in his construction?

Answers

Answer:

Step 5: Without changing the length of the compass place it on point E and draw an arc in the interior of the angle.

Step 6: Draw a straight line with the straight edge that goes from the vertex and thru the intersection of both arcs.

Step-by-step explanation:

To bisect and angle is to split it prefectly in half, making for example a 90º angle into two 45º angles, in order to do this you will just need to use your compass and draw an arc that will pass over both sides of the angle, after that you put it in the intersections of the arc and the sides and just draw arcs that fit inside the angle from there where both arcs created from the intersections of the precious arc meet that's the middle of the angle, so now you just draw a straight line from the vertex to the intersection of both arcs and you just have bisected an angle.

If f(x)=x^2 and g(x) =3x-1 find [g • f](x)

Answers

Answer:

3x²-1

Step-by-step explanation:

f(x) = x²

g(x) = 3x-1

[g·f](x)

g(f(x))

3(x²)-1

plz help im having a very hard time answering these questions
i will mark u as brainliest

Answers

STEP BY STEP EXPLANATION:

drops

Given f(x) = 5x + 1, find f(-3).
I need help ASAP

Answers

Answer:

take a look ...........

There are 20 students in a class and 70% of these students passed their Biology test.
What number of these students passed their test? Round your answer to the nearest whole
number if necessary.

Answers

Answer:

The answer is 14 students.

Step-by-step explanation:

70% of 20 = 14

The ratio of boys to girls in Ella's grade is 3 to 4. The ratio of boys to girls in Minh's grade is 4 to 5. Each grade has a total of 20 girls. How many boys are in each grade?​

Answers

Ella’s grade has 15 boys whilst Minh’s grade has 16 boys - hope this helps!

insert two arithmetic means between 15 and 36​

Answers

Answer: a_1 = 15

a_4 = 36

a_n = a_1 + (n - 1)d

36 = 15 + (4 - 1)d

21 = 3d

7 = d

15, 22, 29, 36

−3.5=x4 please help me

Answers

The answer is -0.875

The equation of a circle is (x−2)2+(y+6)2=100. Find the equation of a circle that is externally tangent to the given circle and has a center at (18, −6).

Answers

Answer:

(x-18)^2+(y+6)^=36

Step-by-step explanation:

circle basic equation is (x-h)^2+(y-k)^2=r^2

center is (18,-6) it is also externally tangent

so

(x-18)^2+(y+6)^2=36 answer

The equation of a circle that is externally tangent to the given circle and has a center at (18, −6) is [tex](x-18)^2+(y+6)^=36[/tex]

What is an equation of a circle?

A circle can be characterized by its center's location and its radius's length. Let the center of the considered circle be at (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Given that the circle basic equation is [tex](x-2)^2+(y+6)^2=100[/tex]

The center is (18,-6) it is also externally tangent;

Therefore,

[tex](x-18)^2+(y+6)^2=36[/tex]

Therefore, the equation of a circle that is externally tangent to the circle is; [tex](x-18)^2+(y+6)^2=36[/tex]

Learn more about equation of a circle here:

https://brainly.com/question/10165274

#SPJ2

14 is no less than 8 times a number x plus 6.

An inequality is ?

Answers

Answer:

The inequality is 14 ≤ 8x + 6

HURRY whats the rate of change

Answers

Answer:

G. -9/2 o -4.5

Step-by-step explanation:

Answer:

G. -9/2

Step-by-step explanation:

this is the rate of change

please help!! I'm really confused

Answers

Answer:

Point a is correct.

Step-by-step explanation:

hope I helped.

help with math, please
will give 100 points

Answers

Answer: y=x10
Because: i looked it up

Answer: y=x10

Step-by-step explanation:

Alice was rock climbing. She climbed to a height of 22 feet. Next, she descended 8 feet. Then, she ascended another 34 feet. What was
Alice's elevation?

Answers

Answer:

48 brainlest plz

Step-by-step explanation:

22-8=14

14+34=48

5 1/5- 1 3/4 fractions

Answers

The answer to this equation is 3 45/100 or 3 9/20

Answer:

3 9/20

Step-by-step explanation:

first find a common demonator and change the denomators and what ever you did to the bottom you do to the top, then subtract them.

A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 19 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of 65 screws. The sample mean screw length was 19.04 centimeters. The population standard deviation is known is known to be 0.19 centimeters. What is the null hypothesis and what is the alternative hypothesis?

Answers

Answer:

Step-by-step explanation:

Ok

Answer:

A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than  11 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 76 bolts. The sample mean bolt length was 11.09 centimeters. The population standard deviation is known to be 0.29 centimeters.

What is the test statistic ?

What is the -value?

Does sufficient evidence exist that the length of bolts is actually greater than the mean value at a significance level of

Steven put together 2,494 pieces of a puzzle. About how many pieces did he put together?

Answers

Answer:

2,494

Step-by-step explanation:

if he put 2,494pieces together you repeated the same question

how to factor g2 − 32g + 256

Answers

Answer:

Using the snowflake method, you have to find the factors of 256 that add up to get 32.

The result will look like this:

(g-16)(g-16)

Answer:

[tex](g-16)^2[/tex]

Step-by-step explanation:

[tex]g^2-32g + 256[/tex]

To factor it you should remember that

[tex](a-b)^2 = a^2 -2ab+b^2[/tex]

It is easy to seee that

[tex]32 = 2 \cdot 16[/tex]

and

[tex]256 = 16^2[/tex]

Therefore

[tex]g^2-32g + 256 = g^2 - (2\cdot 16)g+ 16^2 = (g-16)^2[/tex]

HELLLPP!!!! Jake's regular hourly wage is $14.15 after working 40 hours in a week he gets paid overtime which is a pay and a half if Jake worked for 58 hours what will his weekly gross income be

Answers

I think you need to figure out how much he makes an hour first then its very easy from there.
ANSWER- For 58 hours Jake makes $820.70 for his income.

So how you would solve this word problem you would have to first see what your starting with, in the begging it mentioned that he gets paid [$14.15 and hour] and he worked for 40 hours, (multiple it) you get $566.0)

Then it says to see answer how much Jake makes in 58 hours, (now remember it mentioned how much he makes in an hour) so you just had to multiply 14.15 x 58= 820.70

There are 8 dinner rolls in a package.

How many packages will be needed to feed 100 people if each person has 2 dinner rolls? Enter the correct answer to complete the statement.

They will need
packages.

Answers

Answer: 25 packages

Step-by-step explanation: 100x2=200 / 200/8=25

Answer:

100x2 = 200 dinner rolls

200 ÷ 8 = 25 packages

One of the dog treats in Shelley’s shop is 8 inches long and 3.2 inches wide. She wants to make a miniature version that has proportional dimensions. If the miniature treat will be 3 inches long, how wide should it be?

Answers

Answer:

1.2in

Step-by-step explanation:

Answer:

(1) 1.2 inches

Eight more than.twice an number is four less than the same number

Answers

Answer:

2x+8=x-4

Step-by-step explanation:

I think that's right, let me know if it's wrong and I'll delete

State the domain of the relation (1,2,3,3,4,5) (-3,-1,1,2,3)

Answers

the domain is all of the x values. so the answer would be (-2,-1,0,1,2)
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