Solve the systems and please show all work using substitution.

Solve The Systems And Please Show All Work Using Substitution.

Answers

Answer 1

The value of x = -84/17, y= 24/17 and z = 9/17

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

x -2y + z= -6

x- 5z= -12

-x+ 6y + 4z = 3

Put x= -12+ 5z in equation 1 and 3

-12+ 5z - 2y + z= -6

6z - 2y = 6

3z - y= 3............(a)

and, 12 - 5z + 6y + 4z = 3

6y - z = -9.......(b)

Solving a and b we get

6(3z- 3) - z = -9

18z - 18 - z= -9

17z = 9

z= 9/17

and, y= 3(9/17) - 3 = 24/17

and, x = -12 + 120/17= -84/17

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Related Questions

Determine if the graphed function is linear or nonlinear.



Select from the drop down menu to correctly complete the sentence.

The graphed function is
A: Linear
B: Nonlinear

Answers

Answer:

Linear

Step-by-step explanation:

I'd say this because the line is straight so I think it's linear. (If wrong sorry)

simplify 4(x -9y) + 8(3x + 2y)

Answers

Answer:

28x - 28y I think hope it is the answer

A fish dives down into the ocean at a constant rate. From the surface, it
dives 2,060 feet in 5 minutes. The number -2,060 represents the
location of the sailfish in relation to the surface. What number
represents the location of the fish in relation to the surface 2 minutes
after beginning the dive?

Answers

Answer:

- 824 ft

Step-by-step explanation:

2 minutes out of 5 is a fraction  2/5

2/5 of the -2060 would be

 2/5 *( -2060) =  - 824 ft

Answer:

uhhh i think -824

Step-by-step explanation:

-2060/5

-412

-412x2

-824

How do you slope intercept form and graph 4y-8x=12

Answers

The slope-intercept form of a line 4y - 8x = 12 is y = 2x + 3 and the slope is 2. The graph is attached below.

What is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively.

Given:

4y - 8x = 12

Convert this equation to slope intercept form as shown below,

4y = 8x + 12

y = 8x / 4 + 12 / 4

y = 2x + 3

Here, the slope of the line is 2,

Therefore, the slope-intercept form of a line 4y - 8x = 12 is y = 2x + 3 and the slope is 2. The graph is attached below.

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A square has sides of 18 units. Squares x + 1by x + 1units are cut out of each corner, and then the sides are folded up to create an open box. Express the volume V of the box as a function in terms of x. V(x) =

Answers

The box's volume V expressed as a function of x V(x) =(x+1)(16 -2x) ².

A square form is what?

A square has four equal sides, four vertices, and is a closed, two-dimensional object. It has parallel sides on either side. A square is also equivalent to a rectangle having equal length and width.

What are the four different kinds of squares?

An equal-length rectangle with two neighboring sides. a quadrilateral having four straight angles and equal sides. a parallelogram with two sides that are equally spaced apart and one right angle. the shape of a right-angled rhombus.

Briefing:

A distance of (x+1) is cut in from both sides, so the base dimensions are

18 - 2(x+1) = 16 - 2x

The depth of the fold is (x+1), so that is the depth of the box.

The volume V(x) = (x+1)(16 -2x)²

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Find the equation of a line that passes through (-7,2) and is parallel to the line 7x+2y=0

Answers

Answer:

7x + 2y = - 45

-----------------------

Given

Line 7x + 2y = 0,Point (-7, 2) on a parallel line.

Find the equation of the parallel line.

We know parallel lines have equal slopes.

Find the slope of the given line:

7x + 2y = 02y = - 7xy = - 3.5x

The slope is - 3.5.

Use point-slope equation to find the equation of the parallel line.

y - 2 = - 3.5(x - (-7))y  - 2 = - 3.5x - 24.5y = - 3.5x - 22.5

Convert it to standard form:

y = - 3.5x - 22.52y = - 7x - 45 7x + 2y = - 45

Jayden is deciding between two truck rental companies. Company A charges an initial fee of $85 for the rental plus $1.50 per mile driven. Company B charges an initial fee of $65 for the rental plus $2.50 per mile driven. Let AA represent the amount Company A would charge if Jayden drives xx miles, and let BB represent the amount Company B would charge if Jayden drives xx miles. Write an equation for each situation, in terms of x,x, and determine which company would be cheaper if Jayden needs to drive 5 miles with the rented truck.

Answers

Answer:

A = 85 +1.50xB = 65 +2.50xB is cheaper for 5 miles

Step-by-step explanation:

You want cost equations and the cheaper company for driving 5 miles when A charges $85 plus $1.50 per mile, and B charges $65 plus $2.50 per mile.

(a) Equations

In each case, the cost is the sum of the initial fee and the mileage charge. The mileage charge is the cost per mile, multiplied by the number of miles (x). Using the given fees and costs per mile, we have ...

  A = 85 +1.50x

  B = 65 +2.50x

(b) Cheaper company

The difference in fees is $85 -65 = $20. The difference in mileage charges is $2.50 -1.50 = $1.00 (per mile). Then the two companies will charge the same for $20/($1 /mile) = 20 miles.

Five miles is less than that "break even" mileage, so the cheaper company will be the one with the lower initial fee. (The graph shows the charges for each company for 5 miles.) For more than 20 miles, the cheaper company is the one with the lower mileage charge.

Company B will be cheaper for a drive of 5 miles.



Manuel has $20,000 in a savings account that earns 7% annually. The interest is not
compounded. How much interest will he earn in 2 years?


PLEASE HELP!!

Answers

Answer:

If Manuel has $20,000 in a savings account that earns 7% interest per year and the interest is not compounded, then after two years he will earn $2,800 in interest. This is because 7% of $20,000 is $1,400, and since the interest is not compounded, this amount will remain constant for each year. Therefore, after two years Manuel will earn a total of $1,400 + $1,400 = $2,800 in interest.

In general, if a savings account earns x% interest per year and the initial amount in the account is y dollars, then after n years the account will earn n * (x/100) * y dollars in interest. For example, if the interest rate is 7% and the initial amount is $20,000, then after two years the account will earn 2 * (7/100) * $20,000 = $2,800 in interest.

Step-by-step explanation:

Answer:

The answer is $2800.

Step-by-step explanation:

Given;Manuel has $20,000 in a savings account that earns 7% annually.To Find;Interest of 2 years.

Now,

(20000 × 7) ÷ 100 = $1400

Here, we get for 1 year

for two years,

1400 × 2 = $2800

Thus, He will earn $2800 in 2 years.

ethe relationship between the data in the table is linear write a equation
in slope-itercept form that represent the data in the table

Answers

Answer:

give the data in the graph form and your answer is right..

what is the decimal equivalent of 38/50

Answers

Answer: it is equal to 0.76

Answer: 0.76

Step-by-step explanation: 38 ÷ 50 = 0.76

100 points will mark brainliest

Answers

Answer:

A is the answer

Step-by-step explanation:

if its wrong than its C

Last week Cody ran 27 more miles than Joseph. Cody ran 34 miles. How many miles did Joseph run?

Which equation represents this situation?

A. x−27=34

B. x−34=27

C. x+27=34

D. x+34=27

Answers

Answer:

C

Step-by-step explanation:

The answer is 7 to the equation.

34-27 = 7

Another way to go about this is

x + 27 = 34

x = 7

27 + 7 = 34

:)

Here are the ages (in years) of 8 professors at a college. 46, 32, 57, 28, 42, 34, 29, 37. What is the percentage of these professors who are younger than 35?​

Answers

Answer:

1/2

Step-by-step explanation:

There are 8 total professors and 4 are below the age of 35

32, 28, 34, 29

Sandy receives a 16000 salary for working as an agent. If sandy spends 25% of her salary of expenses each year, then how much money does sandy spend on her expenses?

Answers

Answer:

Sandy spends 4000 on expenses.

----------------------------

Total amount is 16000 and its 25% is spent on expenses.

Find the amount of expenses:

16000*25/100 = 4000

Simplify:
[tex]\frac{sec(x)-csc(x)}{sec(x)+csc(x)}[/tex]

Answers

Hence, the value of [tex]\frac{sec(x)-csc(x)}{sec(x)+csc(x)}=1[/tex].

What is the trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Here given that,

[tex]\frac{sec(x)-csc(x)}{sec(x)+csc(x)}[/tex]

As we know,

[tex]sec(x)=\frac{1}{csc(x)}\\\\\\1-1csc^2(x)=cot^2(x)\\\\\\1+csc^2(x)=cot^2(x)[/tex]

So,

[tex]\frac{sec(x)-csc(x)}{sec(x)+csc(x)}\\\\\\=\frac{\frac{1}{csc(x)}-csc(x)}{\frac{1}{csc(x)}+csc(x)}\\\\\\=\frac{\frac{1-csc^2(x)}{csc(x)}}{\frac{1+csc^2(x)}{csc(x)}}\\\\\\=\frac{{1-(1)csc^2(x)}}{{1+csc^2(x)}}\\\\\\=\frac{cot^2(x)}{cot^2(x)}\\\\\\=1[/tex]

Hence, the value of [tex]\frac{sec(x)-csc(x)}{sec(x)+csc(x)}=1[/tex].

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Find the common ratio of the geometric sequence -6, -48, -384, ...​

Answers

Answer:

8

Step-by-step explanation:

-6 x 8=-48

-48 x 8=-384

So then I think that the common ratio is 8. ( If wrong, my sincere apology)

Please help me understand this

Answers

Answer:

? understand whatt I think you ment to put a picture or something

When Derrick turned 15, his grandparents put $10,000 into an account that yielded 1.4% interest, compounded quarterly, When Derrick turns 18, his grandparents
will give him the money to use toward his college education. How much does Derrick receive from his grandparents on his 18th birthday?

Answers

Answer:  $10,428.18

=======================================================

Explanation:

The compound interest formula is

A = P*(1+r/n)^(n*t)

where,

A = account balance after t yearsP = deposit amountr = annual interest rate in decimal formn = number of times the money is compounded per yeart = number of years

The deposit amount is P = 10000 dollars.

The value of r here is r = 0.014 which is the decimal form of 1.4%

n = 4 since we're compounding quarterly, i.e. 4 times a year.

The timespan from when Derrick was 15 to when he became 18 is 18-15 = 3 years, which is the value of t.

Summary of input values:

P = 10000r = 0.014n = 4t = 3

Let's find the value of "A".

A = P*(1+r/n)^(n*t)

A = 10000*(1+0.014/4)^(4*3)

A = 10428.1800719861

A = 10428.18

Find the arc length and sector area for the following:

(Use \large \pi=3.14...do not use the \large \pi button on your calculator!)



arc length =

sector area =

Answers

the value of arc length = 3.14 and the area of the sector = 4.71cm²

What is area of sector and length of an arc?

The formula for the area of the sector of a circle is /360° (r2) where r is the radius of the circle and is the angle of the sector.

Arc length is the distance between two points along a section of a curve. It is given as

/360°×2r

= 180°, therefore /3 = 180/3= 60°

arc length = 60°/360 × 2×3.14×3

arc length = 3.14cm

The area of the sector = /360°×r²

60/360×3.14×3²

sector area = 3.14×3÷2

sector area = 4.71cm²

therefore the length of the arc and the area bounded by the arc and radius(sector) is 3.14cm and 4.17cm².

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Answer:the value of arc length = 3.14 and the area of the sector = 4.71cm²

Step-by-step explanation:

the value of arc length = 3.14 and the area of the sector = 4.71cm²

Lilah invested $400 in the stock market. She saw an 8% decrease in her money, what is the value of her stocks now

Answers

The value of Lilah's stock after the decrease of 8 % is $ 368

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the initial amount of money Lilah invested in stocks be = A

The value of A is = $ 400

Now , the percentage decrease in the value of stocks = 8 %

So , the equation will be

The value of the stocks after the decrease = initial amount of money Lilah invested in stocks -  ( percentage decrease in the value of stocks x initial amount )

Substituting the values in the equation , we get

The value of the stocks after the decrease = 400 - ( 8/100 ) x 400

The value of the stocks after the decrease = 400 - ( 8 x 4 )

The value of the stocks after the decrease = 400 - 32

The value of the stocks after the decrease = $ 368

Therefore , the value of A is $ 368

Hence , The value of Lilah's stock after the decrease of 8 % is $ 368

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You and a friend go to Tacos Galore for lunch. You order three soft tacos and three
burritos and your total bill is $11.25. Your friend's bill is $10.00 for four soft tacos
and two burritos. How much do soft tacos cost? How much do burritos cost?


please show work

Answers

Answer:

3 tacos and 3 burritos cost $11.25; 4 tacos and 2 burritos cost $10. The difference is 1 more taco and 1 less burrito, for $1.25 less.

So adjust the order repeatedly the same way, adding one taco and taking away one more burrito, and decreasing the cost by $1.25 each time.

3 tacos, 3 burritos, $11.25

4 tacos, 2 burritos, $10.00

5 tacos, 1 burrito, $8.75

6 tacos, 0 burritos, %7.50

The cost of each taco is $7.50/6 = $1.25.

3 of each cost $11.25, so 1 of each cost $3.75; the taco costs $1.25, so the burrito costs $2.50.

ANSWERS: taco $1.25, burrito $2.50

For the function f(x) =8(x+10), find f

Answers

Answer:

Step-by-step explanation:

The function for f(x)=8(x+10) is;

B. f^-1(x)=x-10/8

Graph the linear inequality.
y> 3x+5

Answers

Answer:

Graph a solid line, then shade the area above the boundary line since y y is greater than −3x+5 - 3 x + 5 . y≥−3x+5 y ≥ - 3 x + 5.

Step-by-step explanation:

in a class of 30 students, approximately what is the probability that two of the students have their birthday on the same day

Answers

The probability that two students out of 30 students have their birthday on the Same day is 0.706, that is nearly 71%

What is conditional probability?

The possibility of an event or outcome happening contingent on the occurrence of a prior event or outcome is known as conditional probability.

How do you calculate conditional probability?

the likelihood of the preceding event is multiplied by the probability of the subsequent,or conditional, occurrence to determine the conditional probability.

In a year we have 365 days

probability at least 2 people share the same birthday=1 - probability no people share the same birthday

the first student can be born on any day,so we'll give him a probability of 365/365

the probability of the next born is 364/365

the probability of the third born is 336/365

[tex] \frac{365 \: factorial}{335 \: factorial \: . {365}^{30} } [/tex]

this is the simplified form of the 30 probabilities product.= 0.294

therefore

probability at least 2 people share the same birthday=1 - probability no people share the same birthday

1 - 0.294= 0.706

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what is the discontinuity of f(x) = the quantity of 4 x squared minus 16, all over 2 x minus 4

Answers

The function given as f(x) = (x² - 16)/(6x - 24) is discontinuous at x = 4

What is the discontinuity of the function?

We are given the function as;

f(x) = (x² - 16)/(6x - 24)

We have to find the discontinuities of the function.

Now, the denominator 6x - 24 becomes 0 when x = 4.

This means that when x = 4, the function now becomes undefined.

Therefore, we can say that there is a discontinuity at x=4

However, this discontinuity can be removed due to the fact that we have x = 4 in the numerator.

But despite the above, it is still discontinuous at that value of x.

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5). Jacob and Madison share a reward of $90 in a ratio of 1 : 4. What fraction of the total reward does Jacob get?

Answers

Answer:

$18

Step-by-step explanation:

Ratio

Ratios are numerical proportions among different values.

Eg. 1 : 4 is 1 to 4.

Solution

Given Total Shares = 1 + 4 = 5 = $90

Jacob gets 1 share.

1 Share = $90 ÷ 5 = $18

Therefore Jacob gets $18.

match the graph with the table.

Answers

The second graph goes with the first table & the first graph goes with the second table

Please help!! I tried setting it up to 180 but I don’t feel right about it! Thanks! :)

Answers

12x-10x-27-26+23=0
2x=30
X=15

5(15)-27
75-27

=48

Brainly pls

Solve the compound inequality.
-2x < -10 and x-5<6
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Answers

Answer:

5 < x < 11  or x ∈ (5, 11)

-----------------------------

Given compound inequality:

- 2x < - 10 and x - 5 < 6

Solve each inequality:

- 2x < - 10               Divide both sides by - 2, it flips the inequality signx > 5

x - 5 < 6                  Add 5 to both sidesx < 11

Solution is:

5 < x < 11

or

x ∈ (5, 11)

In a certain​ state, 43​% of adults indicated that sausage is their favorite pizza. Suppose a simple random sample of adults in the state of size 25 is obtained and the number of adults who indicated that sausage is their favorite pizza was 19. What are values of the parameters​ n, p, and x in the binomial probability​ experiment?

Answers

If in a certain​ state, 43​% of adults indicated that sausage is their favorite pizza. The values of the parameters​ n, p, and x in the binomial probability​ experiment are: n = 25, p = 43%  x = 19.

What is binomial probability?

Binomial probability can be defined as the tendency that two event will occur or the likelihood that an event will have two outcome such as good or bad, success or failure.

Analysis of the value of the parameters n,p,x:

n represent number of sample size = 25

p represent the probability of having success on a single trial = 43% or 0.43

x represent the number of success = 19

Therefore the values of the parameters​ n, p, and x in the binomial probability​ experiment are: n = 25, p = 43%  x = 19.

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