Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
12x - y = 25
9x + y =17

Answers

Answer 1

Answer:

the ordered pair is (2,-1)

Step-by-step explanation:

We need to solve the system of equations using elimination method

12x - y = 25     eq(1)

9x + y = 17      eq(2)

Adding eq(1) and eq(2)

12x - y = 25

9x + y = 17

___________

21x = 42

x = 42/21

x= 2

Now, putting value of x in equation 1

12x - y = 25

12(2) -y = 25

24 -y = 25

Adding -24 on both sides

24 -y-24 = 25-24

-y = 25-24

-y = 1

Multiply both sides by -1

y = -1

the value of x = 2 and y = -1

So, the ordered pair is (2,-1)

Answer 2

Answer:

The solution is: (2, -1)

Step-by-step explanation:

I have the following system of equations

[tex]12x - y = 25[/tex]

[tex]9x + y =17[/tex]

Note that if we add both equations, the variable y is "eliminated".

So add the first equation to the second and solve for the variable x

[tex]12x - y = 25[/tex]

[tex]9x + y =17[/tex]

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

[tex]21x=42[/tex]

[tex]x=\frac{42}{21}\\\\x=2[/tex]

Now substitute the value of x in any of the two equations and solve for the variable y

[tex]9(2) + y =17[/tex]

[tex]18 + y =17[/tex]

[tex]y =17-18[/tex]

[tex]y =-1[/tex]

The solution is: (2, -1)


Related Questions

the area of this circle is 84π m^2 what is the area of a 30 sector of this circle?

Answers

ANSWER

[tex]7 {m}^{2} [/tex]

EXPLANATION

If the area of the circle is 84π m² , then the area of a 30° sector is just a proportion of the full circle.

The area of the 30° sector is

[tex] \frac{30}{360} \times 84\pi \: {m}^{2} [/tex]

[tex] = \frac{1}{12} \times 84 {m}^{2} [/tex]

[tex] = 7 {m}^{2} [/tex]

Hence the area of the 30° sector of this circle is

[tex]7 {m}^{2} [/tex]

Solve.

−12x+13>35

Drag and drop a number or symbol into each box to show the solution.

Answers

Answer:

x< -1.8

Step-by-step explanation:

-12x+13>35

We leave the variable alone passing the 13 with opposite sign to the other side and subtracting it from 35.

-12x>22

We divide both by the variable, -12x, and it gives x > -1.8. Since the sign of x changed, we flip the sign and the final result is x < -1.8

ANSWER

[tex]x \: < \: - 1\frac{ 5}{ 6} [/tex]

EXPLANATION

The given inequality is

[tex] - 12x + 13 \: > \: 35[/tex]

Add -13 to both sides to obtain;

[tex]- 12x + 13 - 13 \: > \: 35 - 13[/tex]

Simplify to obtain:

[tex]- 12x + 0 \: > \:22[/tex]

[tex]- 12x \: > \: 22[/tex]

Divide both sides by -12 and reverse the inequality sign.

[tex] \frac{ - 12x}{ - 12} \: < \: \frac{ 22}{ - 12} [/tex]

[tex]x \: < \: \frac{ 22}{ - 12} [/tex]

This simplifies to

[tex]x \: < \: - \frac{ 11}{ 6} [/tex]

We rewrite as mixed number

[tex]x \: < \: - 1\frac{ 5}{ 6} [/tex]

Sherri rolls a dice, numbered 1 to 6, 64 times. How many times can she expect to roll an odd number?

Answers

Answer:

32

Step-by-step explanation:

Possible outcomes in a fair sided die 1,2,3,4,5,6 = 6 possible outcomes

Odd numbers = 1,3,5 = 3 odd numbers

Probability of rolling an odd number = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]

Total number of rolls = 64

expected number of odd number rolls in 64 roll,

= [tex]\frac{1}{2}[/tex] x 64 = 32

What is the solution to the equation 6y –2(y + 1) = 3(y – 2) + 6?

Answers

Answer: y=2

Step-by-step explanation:

Distribute the numbers -2 and 3...

6y-2y-2=3y-6+6

The -6 and 6 cancel each other out...

6y-2y-2=3y

Combine like terms....

4y-2=3y

Move 4y over....

-2=-y

Multiply both sides by -1.....

2=y

That’s your solution! Hope this helps!

Some months have 30 days, some months have 31 days; how many have 28?

Answers

Only February has 28 days

All of the months have 28 days. Although some may have more then 28 days they always have AT LEAST 28 days

Hope this helped!

~Just a girl in love with Shawn Mendes

Given: x
- 4x > 0, then the solution set in interval notation is: (-2, 0)
True
O
False

Answers

Answer:

Second option: False.

Step-by-step explanation:

Given the inequality [tex]- 4x > 0[/tex], you need to solve for the variable "x".

To solve for the variable "x" you can divide both sides of the inequality by -4 (Notice that the direction of the symbol of the inequality changes), then:

[tex]- 4x > 0\\\\\frac{- 4x}{-4} > \frac{0}{-4}\\\\x<0[/tex]

Therefore, the solution set in interval notation is:

[tex](-\infty,0)[/tex]

Then the answer is: False.

28 POINT QUESTION!!
will give you brainliest for right answer!!

For the inverse variation equation p= 8/v what is the value of V when p = 4?

I’ve seen a lot of answers between C & D & I need to know asap!!!

Answers

Answer:

C

Step-by-step explanation:

[tex]p = \frac{8}{v} [/tex]

when we plug in 4 for P

we want to multiply V to (8/V) and 4 to get rid of the fraction

then we get

[tex]4v = 8[/tex]

we want V by itself so we defide 8 by 4.

8/4 should be simplified.

so we end up with 2.

a rectangle rug has a perimeter of 146 ft the width of the rug is 5 feet more than three times the length find the length and the width​

Answers

Answer:

The length = 56 feet and the width = 17 feet.

Step-by-step explanation:

We can set up 2 equations to solve this. Let the length of the rug be x, then

x = 3w + 5    where w = the width.   ( looks like you got the width and the length mixed up. The length is the longest side)

The perimeter = 2x + 2w = 146 so we have the 2 equations:

x = 3w + 5

2x + 2w = 146

Now we substitute for x in the second equation:

2(3w + 5) + 2w = 146

6w + 10 + 2w = 146

8w = 136

w = 17 feet,

and x = 3(17) + 5 =  56 feet.

Answer:

Length is 17 feet and Width is 56 feet.

Step-by-step explanation:

P=2L+2W

146=2L+2(3L+5)

146=2L+6L+10

146=8L+10L

146-10=8L+10-10

136=8L

136\8=8\8

17=L

W=3L+5

  =3(17)+5

  =56

Which of the following is an arithmetic sequence?
A. 1,2,4,8,16,32,...
B. 100,50,25,12.5,...
C. 1,3,5,7,9 ,11,...
D. 1,2,4,7,11,...

Answers

The answer is C because the numbers increase by 2 each time.
C. 1,3,5,9,11,15 with a common difference of 2

Solve the equation.
1-3x + 1 + 10x = y + 4

Answers

x= y/7 + 2/7

I think thats right

Name the most appropriate metric unit for each measurement like the mass of cow

Answers

Answer:

Kilograms

Step-by-step explanation:

The mass of a cow can me measured in grams or kilograms, there are many types of metric units for measurements.

help me..it has to be rounded to the tenths

























Answers

Answer:

10.2 cm²

Step-by-step explanation:

The area (A) of a regular hexagon is

A = [tex]\frac{1}{2}[/tex] × perimeter × apothem

Perimeter = 6 × 2 = 12 cm ( hexagon has 6 sides ), hence

A = 0.5 × 12 × 1.7 = 6 × 1.7 = 10.2 cm²

Answer:

10.2cm^2

Step-by-step explanation:

I don’t get this can someone help pls

Answers

Ohh ok I can help
So the total you spent on your shirts is 26.24 time 3

So it would look like 3(26.24).

So A and D are wrong

So now looking at the equality signs
< is less than
> greater then

You want to spend less then 100

So the answer is B. Hoped I helped
The answer is B!!!!!! :)

20 POINTS! EMERGENCY!

Answers

Hello There!

The answer is that the Y intercept is 4.

The y intercept is where the graph crosses the y axis. It goes vertical

Answer: the y intercept is 4.

Step-by-step explanation:

In the graph, if the savings account would’ve started with $8, the y intercept would be 8.

We don’t know what the graph is talking about so it’s not the last option.

The line crossed the x intercept at 8 so it’s not B.

scores on a college entrance examination are normally distributed with a mean of 500 and a standard deviation of 100% of people who write this exam obtain scores between 425 and 575​

Answers

We have

[tex] \mu = 500[/tex]

[tex] \sigma = 100 [/tex]

425 corresponds to a z of

[tex]z_1 = \dfrac{425 - 500}{100} = -\dfrac 3 4[/tex]

575 corresponds to

[tex]z_2 = \dfrac{575 - 500}{100} = \dfrac 3 4[/tex]

So we want the area of the standard Gaussian between -3/4 and 3/4.  

We look up z in the standard normal table, the one that starts with 0 at z=0 and increases.  That's the integral from 0 to z of the standard Gaussian.

For z=0.75 we get p=0.2734. So the probability, which is the integral from -3/4 to 3/4, is double that, 0.5468.

Answer: 55%

Find the value of x
x=degrees

Answers

The answer is x=75 degrees.

u find that the other angle of the isosceles is 30 degrees. So each of the other angles(that are equal) would be 75 degrees.

Factor the polynomial: -2x3 - 4x2 - 6x

Answers

The polynomial -2x³ - 4x² - 6x is factored by first factoring out the common term -2x, resulting in -2x(x² + 2x + 3). The quadratic x² + 2x + 3 cannot be further factored over the real numbers, giving the final factored form of -2x(x² + 2x + 3).

To factor the polynomial -2x³ - 4x² - 6x, we first look for any common factors in each term of the polynomial. In this case, we can see that each term includes a factor of -2x. Factoring this out, we get:

-2x(x² + 2x + 3)

However, the quadratic x² + 2x + 3 cannot be factored further over the real numbers because it does not have real roots (its discriminant 22 - 4(1)(3) = 4 - 12 = -8 is negative). Therefore, the fully factored form of the polynomial over the real numbers is:

-2x(x² + 2x + 3)

Typically a point in a three dimensional Cartesian coordinate system is represented by which of the following

Answers in the picture !

Answers

Answer: B (x, y, z)

Step-by-step explanation:

In a two-dimensional plane, a coordinate is represented as (x, y).

In a three-dimensional plane, a coordinate is represented the same as the two-dimensional plane, except we need to add the third coordinate (z).

--> (x, y, z)

Answer:

B. (x,y,z).

Step-by-step explanation:

We represent the coordinate of  a point in one dimension as x on the line. We represent the coordinate of a point in two dimension (plane) as (x,y). Similarly we represent  the coordinate of a point which lie in the space (three dimension) as (x,y,z) .Here x is the x-coordinate of the point,

          y is the y-coordinate of the point,

and   z is the z-coordinate of the point. Hence (x,y,z) represent a point a point in a three dimensional Cartesian System.

A bullet is fired straight up from a BB gun with initial velocity 1,120 feet per second at an initial height of 8 feet. Use the formula h=−16t2+v0t+8 to determine how many seconds it will take for the bullet to hit the ground. That is, when will h=0

Answers

Answer:

Bullet will hit the ground after 70 seconds.

Step-by-step explanation:

A bullet is fired straight up from a BB gun with initial velocity 1120 ft/s at an initial height of 8 ft. Using the value of velocity the equation becomes:

h(t)= -16t² + 1120t + 8

We need to find time when bullet hit the ground.  

As we know when bullet hit the ground height would be 0  

So, we set h=0 and solve for t .

0 = -16t² + 1120t + 8

Using quadratic formula:

[tex]t= \frac{-1120 \pm \sqrt{(1120)^{2}-4(-16)(8)} }{2(-16)}\\\\ t=70.007 , -0.007[/tex]

Since negative value of the time is not possible, we conclude that the bullet will hit the ground after 70 seconds.

Answer:

t≈70 seconds

Step-by-step explanation:

h=−16t2+v0t+8

We know the velocity, v0, is 1,120 feet per second.

The height is 0 feet. Substitute the values.

0=−16t^2+1,120t+8

Identify the values of a, b, and c.

a=−16,b=1,120,c=8

Then, substitute in the values of a, b, and c.

t=−(1,120)± √(1,120)2−4⋅−16⋅(8

                     2 ⋅ −16

Simplify.

t=−1,120± √1,254,400+512

             - 32

t= −1,120± √1,254,912

             -32

Rewrite to show two solutions.

t= −1,120+ √ 1,254,912 .                   t= −1,120+ √ 1,254,912

            -32                                                               - 32

  t≈70 seconds,t≈−0.007 seconds

Simplify 3(x + 2) + 4(x - 5)
A. 7x - 3
B.7x - 14
C.7x + 26

Answers

Answer:

7x - 14

Step-by-step explanation:

3(x + 2) + 4(x - 5)

3x + 6 + 4x - 20

7x - 14

For this case we must simplify the following expression:

[tex]3 (x + 2) +4 (x-5)[/tex]

Applying distributive property to the terms within the parenthesis we have:

[tex]3x + 6 + 4x-20 =[/tex]

Adding similar terms:

[tex]3x + 4x + 6-20 =[/tex]

Finally we have that the expression is reduced to:

[tex]7x-14[/tex]

Answer:

[tex]7x-14[/tex]

If a(x)=3x+1 and b(x)=square root x-4, what is the domain of (b o a)(x)?
answers choices are:
-infinity, infinity
0, infinity
1, infinity
4, infinity

Answers

ANSWER

[tex][1, \infty ][/tex]

EXPLANATION

The given functions are:

[tex]a(x) = 3x + 1[/tex]

[tex]b(x) = \sqrt{x - 4} [/tex]

We want to find the domain of the composite function;

[tex](b \circ \: a)(x) = b(a(x))[/tex]

[tex](b \circ \: a)(x) = b(3x + 1)[/tex]

[tex](b \circ \: a)(x) = \sqrt{3x + 1 - 4} [/tex]

This simplifies to,

[tex](b \circ \: a)(x) = \sqrt{3x - 3} [/tex]

This function is defined for

[tex]3x - 3 \geqslant 0[/tex]

[tex]3x \geqslant 3[/tex]

[tex]x \geqslant 1[/tex]

This can be rewritten as,

[tex][1, \infty ][/tex]

Which combination of integers can be used to generate the Pythagorean triple (5,12,13)

Answers

Answer:

x=3 and y=2

Step-by-step explanation:

The pythagorean triples are generated by two integrers x and y that can be found by solving the following system of equations:

[tex]\left \{ {{x^{2}-y^{2}=5}\atop {2xy=12}} \atop {x^{2}+y^{2}=13}}\right.[/tex]

Solve the system of equations, and we get that the solution is x=3 and y=2.

Therefore, the combination of integrers that ca be used to generate the pythagorea triple are: x=3 and y=2

Answer:

[tex]x=3[/tex] and [tex]y=2[/tex]

Step-by-step explanation:

The Pythagorean triples can be generated by two values x, y, and a given system of equations:

[tex]x^{2}-y^{2}=5\\2xy=12\\x^{2}+y^{2}=13[/tex]

You can see that each coordinate of the triple is included in each equation.

Remember that Pythagorean triples refers to the values of each side of a right triangle, where is used the Pythagorean Theorem. But, at a higher level, to construct this triples we use the system of equations, with two integers x and y., like this case.

Now we solve the system, the best first step is to just sum the first and third equations, because they have like terms:

[tex]2x^{2}=18\\x^{2}=\frac{18}{2}=9\\x=3[/tex]

Now, we just replace it in the second equation:

[tex]2xy=12\\y=\frac{12}{2x}=\frac{6}{3}=2[/tex]

Therefore the integers that generate the Pythagorean triple [tex](5,12,13)[/tex] are [tex]x=3[/tex] and [tex]y=2[/tex]

Which exponential function is represented by the graph?

Answers

Answer:

see explanation

Step-by-step explanation:

The exponential function is in the form

y = a [tex](b)^{x}[/tex]

Use points on the graph to find a and b

Using (0, 3), then

3 = a [tex](b)^{0}[/tex] ⇒ a = 3

Using (1, 6), then

6 = 3 [tex](b)^{1}[/tex] ⇒ b = 6 ÷ 3 = 2

The equation is y = 3 [tex](2)^{x}[/tex]

Answer:

y = [tex]3*2^{x}[/tex]

Step-by-step explanation:

The general form for an exponential function is :

y = [tex]ab^{x}[/tex]

We need to find out what a and b are using the values given in the graph.

we can see that (x=0, y = 3) and (x=1, y = 6) are points on the curve. Substitute these into the general equation

for (x=0, y = 3),

3 = [tex]ab^{0}[/tex]

3 = a (1)  or a = 3

for (x=1, y = 6),

6 = [tex]ab^{1}[/tex]

6 = ab (substitute a=3 from previous calculation)

6 = 3b

b = 2

Hence the equation is:

y = [tex]3*2^{x}[/tex]

Edit reason: typo in the final answer

Given cosθ=3√3 and sinθ<0 . What is the value of sinθ ?

Answers

Final answer:

The cosine value provided is incorrect as it exceeds the maximum cosine function value. However, with a valid cosine value and the condition that sinθ < 0, the sine value can be found using the Pythagorean identity. The negative square root is taken due to sinθ being less than zero.

Explanation:

The given condition is cosθ = 3√3 with the additional information that sinθ < 0. However, the cosine value seems incorrect as the maximum value for the cosine function is 1, therefore cosθ = 3√3 cannot be true. Assuming there is a typo and considering the correct range for cosine, the answer can be derived using the Pythagorean identity:



cos2θ + sin2θ = 1.



Since sinθ < 0, it indicates that the angle θ is in either the third or fourth quadrant. In both quadrants, cosine values can still be positive. After getting the correct cosine value within the range of -1 to 1, you would find sinθ by rearranging the Pythagorean identity:




sin2θ = 1 - cos2θ.



Then, take the square root and apply the negative sign since sinθ < 0.

Can someone pleaseeee hellpp??

Answers

Answer:

5.8

Step-by-step explanation:

To get the mean, add up all the numbers

9+4+8+3+5 = 29

Then divide by how many numbers there are (5)

29/5 =5.8

The mean is 5.8

How to solve?
Inx - In 1/x = 2

Answers

Answer:

x = e

Step-by-step explanation:

[tex]\text{The domain:}\\\\D:x>0\\\\\ln x-\ln\dfrac{1}{x}=2\qquad\text{use}\ \log_ab-\log_ac=\log_a\left(\dfrac{b}{c}\right)\\\\\ln\dfrac{x}{\frac{1}{x}}=2\\\\\ln x^2=2\qquad\text{use}\ \log_ab=c\iff a^c=b\ \text{and}\ \ln x=\log_ex\\\\x^2=e^2\iff x=e\in D[/tex]

To solve the given equation Inx - ln(1/x) = 2, combine the logarithms, simplify, and solve for x to find that x = e.

To solve the equation Inx - ln(1/x) = 2:

Rewrite ln(1/x) as -ln(x): Inx + ln(x) = 2

Combine the logarithms: ln(x²) = 2

Solve for x: x² = e², x = e

which statement justifies why angle EBC measures 90?

Answers

Answer:

The sum of the measures of two complementary angles is 90 degrees

Step-by-step explanation:

we know that

If two angles are complementary, then their sum is equal to 90 degrees

In this problem we have that

m∠ABD and m∠DBC are complementary

so

m∠ABD + m∠DBC=90° -----> by complementary angles

and

(m∠ABD + m∠DBC)+m∠EBC=180° -----> by a linear pair

Find the measure of angle EBC

substitute the given values

(90°)+m∠EBC=180°

∠EBC=180°-90°=90°

Answer:

Statements B and A

Step-by-step explanation:

GIven are some statements and we have to identify the one which justifies the measure of angle EBC as 90 degrees.

We have to use two statements here for the complete proof

B) SInce given that  angles ABD and DBC are complementary we have sum of these angles = angle ABC = 90 degrees

A)since linear pair form supplementary angles and since one pair ABC =90 other pair EBC has to be 90 degrees.

APY means ________________.​

Answers

Answer:

annual percentage yield

Step-by-step explanation:

APY means annual percentage yield

annual percentage yield

Use the points (1,-3) and (5,9) to determine the slope between the two points using the slope formula

Answers

[tex]\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{9}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{9-(-3)}{5-1}\implies \cfrac{9+3}{4}\implies \cfrac{12}{4}\implies 3[/tex]

Which could be the function?
The graph shows the axis of symmetry for a quadratic
function f(x)
Of(x) = (x + 4)
O f(x) = x2 + 4
O f(x) = (x -
Of(x) = x2 +4

Answers

Answer:

[tex]f(x)=(x-4)^{2}[/tex]

Step-by-step explanation:

we have that

The axis of symmetry shown in the graph is x=4

we know that

The axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

so

Verify each case

case a) we have

[tex]f(x)=(x+4)^{2}[/tex]

The vertex is the point (-4,0)

therefore

Cannot be the function

case b) we have

[tex]f(x)=x^{2}+4[/tex]

The vertex is the point (0,4)

The axis of symmetry is x=0

therefore

Cannot be the function

case c) we have

[tex]f(x)=(x-4)^{2}[/tex]

The vertex is the point (4,0)

The axis of symmetry is x=4

therefore

Could be the function

case d) we have

[tex]f(x)=x^{2}-4[/tex]

The vertex is the point (0,-4)

The axis of symmetry is x=0

therefore

Cannot be the function

Other Questions
Europeans were the first people to come to North America. True or False The United States set up a(n) ......government to administer affairs in Cuba until Cuba wrotea constitution.^democratic ^aristocratic^militaristic^oligarchic What is the volume of this prism? ___ units3 Which of the following is the best explanation why some reactions appear to stop before all the reactants are converted to products? The reaction goes to completion.The reaction reaches equilibrium and the products stop being formed.The reversible reaction occurs at the same rate.The limiting reactant prevents the forward reaction occurring. The graph below shows two normal distributions.What is the difference of the means of the distributions? Mohammad says that everyone is equal except by ________. Nitrogen dioxide reacts with water to form nitric acid and nitrogen monoxide according to the equation: 3NO2(g)+H2O(l)2HNO3(l)+NO(g) Part A Suppose that 4.2 mol NO2 and 0.50 mol H2O combine and react completely. Which reactant is in excess? Express your answer as a chemical formula. nothing it can take some of those large , industrial vehicles up to ____ feet to stop when traveling only 60 MPH, and therefore , you shoukd be mindful to not be jn the traffic right in front of them A. 100 feet B. 200 feetC. 335 feetD. 425 feet What is the function/importance of the muscular system? Find the distance between 11 and 7 on anumber line.Enter the correct answer. If f(x)=2x^+1 and g(x)=x^-7, find (f-g)(x) Who was allowed to vote when the US Constitution was written?only those born on US soilall white citizensonly Protestant menwhite, land-owning males A scientist mixes water (containing no salt) with a solution that contains 30% salt. She wants to obtain 180 ounces of a mixture that is 15% salt. How many ounces of water and how many ounces of the 30% salt solution should she use? Sales tax is an everyday example of where _______ are used. Lymphatic vessels remove excess fluid from tissues. Often after mammexront( the surgical procedure to remove of all or part of a breast) the lymphatic vessels draining the arm are damaged. Explain a consequence of this damage. What can be done to reduce the symptoms? Which circles are congruent?B and CB and DA and D How does large change in temperature or pH affect proteins?(a) They eliminate all of their essential amino acids(b) They lose their acid sequence(c) They come apart or lose their shape(d) They change their amino acids into fatty acids How can communities assist in overcoming barriers to fitness? Check all that apply.expand parksadd bike trailsplan festivalsbuild walking pathsorganize sports leaguesoffer free exercise classes ill give you free points and brainliest if you help me with the correct answer Every time you hit the brakes, you are attempting to overcome _____.A. potential energyB. kinetic energyC. static electricityD. the force of impact During a trial run, race car A starts from rest and accelerates uniformly along a straight level track for a particular interval of time. Race car B also starts from rest and accelerates at the same rate, but for twice the time. At the end of their respective acceleration periods, which of the following statements is true? Car A has traveled a greater distance. Car B has traveled twice as far as A. Car B has traveled four times as far as car A. Both cars have traveled the same distance