systems of equations

Answers

Answer 1

The solution to the system of equations in problem 13 is (0, -4).

The solution to the system of equations in problem 14 is (-6, -1).

In problem 13, the system of equations is:-5x-5y = 20x+6y = -24Simplify the first equation.x + y = -4x = -4-ySubstitute this value into the second equation.-4-y + 6y = -245y = -20y = -4x = -4-yx = -4-(-4)x = 0In problem 14, the system of equations is:-7x+12y = 30-3x+6y = 12Simplify the second equation.x-2y = -4x = 2y-4Substitute this value into the first equation.-7(2y-4)+12y = 30-14y + 28 + 12y = 30-2y = 2y = -1x = 2y-4x = 2(-1)-4x = -2-4x = -6

To learn more about equations, visit :

brainly.com/question/10413253

#SPJ1

Related Questions

Jordan is constructing a aregular hexagon inscribed in a circle. He labels the points on the circle as shown

Answers

Given,

The diagram of the circle with the vertex of the hexgon.

Required

The measure of arc VX, angle ZXV.

As known that,

The measure of the circle is 360 degree.

The measure of arc VX is,

[tex]Arc\text{ VX = 60 degree.}[/tex]

The measure of angle ZXV is,

[tex]\angle ZXV=60^{\circ}[/tex]

The measure of arc WZ is 180 degree.

Answer:

VX=120

ZXV=60

Step-by-step explanation: YOUR WELCOME PUTAS

In triangle JKL, tan(b°) = 3/4 and sin(b°) = 3/5 If triangle JKL is dilated by a scale factor of 3, what is cos(bº)?

Answers

ANSWER

cos(bº) = 4/5

EXPLANATION

When a triangle is dilated, the resulting triangle is similar to the original triangle. Therefore, the interior angles of the dilated triangle are congruent to the interior angles of the original triangle. This means that cos(bº) is the same for both triangles.

Using the relationship between these three trigonometric ratios:

[tex]\tan (bº)=\frac{\sin (bº)}{\cos (bº)}[/tex]

We can find the cosine:

[tex]\cos (bº)=\frac{\sin (bº)}{\tan (bº)}[/tex][tex]\cos (bº)=\frac{\frac{3}{5}}{\frac{3}{4}}=\frac{3}{5}\colon\frac{3}{4}=\frac{3}{5}\times\frac{4}{3}=\frac{4}{5}[/tex]

Sorry if it's blurry but could you help me with this please :)

Answers

We have the following:

We can see in the figure that it up by two units and shift 5 units to the right.

Therefore, que the answer is thr first option

100 POINTS ANSWER CORRECTLY PLS

Answers

Answer:

1.) y = -3/4x +2

2.) y = x - 4

3.) y = 2/3x - 4

4.) y = -1/2x + 5

5.) y = 8/3x +5

Step-by-step explanation:

1.)

Parallel means that the slopes will be the same.

So, m = -3/4

To find the equation, we must first use point-slope form.

[tex]y-y_{1} =m(x-x_{1} )[/tex]

y-(-1) = -3/4(x-4)

Now we clean this up and solve for y to get the answer in slope intercept form.

y+1= -3/4x + 3 => y = -3/4x +2

2.)

Perpendicular means that the slope is the negative reciprocal of the slope of the first line.

So, m = 1 as the negative reciprocal of -1 is +1.

Once again, we use point-slope form and the clean it up and solve for y to get the answer in slope-intercept form.

y - (-3) = 1(x-1) => y + 3 = x-1 => y = x - 4

3.)

Similar to the previous one, but with slope m = 2/3 (negative reciprocal)

y - (-4) = 2/3 (x - 0) => y + 4 = 2/3x => y = 2/3x - 4

4.)

Similar to the previous one, but with slope m = -1/2 (negative reciprocal)

y - 4 = -1/2(x-2) => y - 4 = -1/2x +1 => y = -1/2x + 5

5.)

Similar to the previous one, but with slope m = 8/3 (negative reciprocal)

y - (-3) = 8/3(x - (-3)) => y + 3 = 8/3x +8 => y = 8/3x +5

Ignore this, I need my answers questioned so I apologize

Evaluate.

1045+(834−612)

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

The value of the expression given as 1045 + (834 − 612) is 1267

How to evaluate the expression?

The expression is given as

1045+(834−612)

Evaluate the brackets in the above expression

So, we have the following equation

1045 + (834 − 612) = 1045 + 222

Evaluate the sum in the above expression

So, we have the following equation

1045 + (834 − 612) = 1267

The above equation/expression cannot be solved further

So, we make our conclusion

Hence, the solution to the expression is 1045 + (834 − 612) = 1267

Answers

Answer:

If I am not mistake I am pretty sure its graph B.

Step-by-step explanation:

Lin is paid $90 for 5 hours of work. She used the following table tocalculate how much she would be paid at this rate for 8 hours of work.1. What is the meaning of the 18that appears in the table?IAmount earned($)Time worked(hours)9052. Explain how Lin used this table tosolve the problem3. At this rate, how much would Linbe paid for 3 hours of work? For21 hours of work?1811448

Answers

From the table :

Lin worked for 5 hours and earned 90$

LIn worked for 1 hour and earned 18$

Lin worked for 8 hour

so the earning is

[tex]8\times18=144[/tex]

Lin worked for 8 hours so the earning is 144$

If lin works for 3 hours then the earning is

So the answer for 3 hours is 54$.

[tex]3\times18=54\text{ dollar}[/tex]

If lin works for 21 hours then the earning is

[tex]21\times18=378\text{ dollar}[/tex]

so the answer for 21 hours is 378$.

Find the turning point of y=h(x) if h(x)=f(-x)f(x)=x^2-4x+12

Answers

Given:

[tex]y=h(x)\text{ where }h(x)=f(-x)\text{ and }f(x)=x^2-4x+12.[/tex]

Required:

We need to find the turning point of y=h(x).

Explanation:

Replace x =-x in the function f(x) to find h(x).

[tex]f(-x)=(-x)^2-4(-x)+12.[/tex][tex]f(-x)=x^2+4x+12.[/tex]

Replace f(-x)=y in the equation.

[tex]y=x^2+4x+12.[/tex][tex]y=x^2+2\times2x+4+8.[/tex][tex]y=x^2+2\times2x+2^2+8.[/tex][tex]Use\text{ }(a^2+2ab+b^2)=(a+b)^2.[/tex][tex]y=(x+2)^2+8.[/tex]

Which is of the form

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

where a=1, h=-2, and k=8.

The point (h,k)=(-2,8) is the turning point.

Final answer:

The turning point of y=h(x) is (-2,8).

9.2 x 108 is how many times the value of 2.3 x 10²?
A. 4 x 104
B. 4 x 106
C. 6.9 x 104
D. 6.9 x 106

Answers

Answer:

B. [tex]4*10^6[/tex]

Step-by-step explanation:

All you have to do is divide the first value by the second value to find the ratio between the two numbers.

The equation would look like this:

[tex]\frac{9.2*10^8}{2.3*10^2}[/tex] or [tex]\frac{920000000}{230}[/tex]

Solving this gives you [tex]4 * 10^6[/tex], or 4000000.

You can also figure this out without a calculator. Simply subtract the smaller power from the larger power to get your exponent.

Since this problem has [tex]10^8[/tex] and [tex]10^2[/tex], subtract 2 from 8 to get 6. This will be the exponent in your answer, ruling out answers A and C.

Then, just estimate 9.2/2.3. You can do 9/2 to get 4.5, which is closer to 4. Therefore, D is ruled out, so the answer must be B.

Hope this helps :)

A packing carton has a square bottom 18 inches by 18 inches. If the capacity of the carton is 3cubic feet, how deep is the carton?

Answers

The packing carton has a square bottom with measures 18in x 18in and has a volume of V=3ft³

The volume of cubic prims can be calculated by multiplying its width by its length and height:

So the formula to calculate the volume is

[tex]V=w\cdot l\cdot h[/tex]

If we know the width, length, and volume we can determine the height. First, write the formula for h, that is, divide the volume by the width and height:

[tex]h=\frac{V}{wl}[/tex]

The units of the width and length are in inches and the volume is in cubic feet, to determine the height of the box, all units must be the same. To make the calculations easier I will pass the units from inches to feet.

The unit rate between inches and feet is the following:

[tex]1^{\doubleprime}=\frac{1}{12}ft[/tex]

To express 18 inches in feet you have to multiply them by 1/12

[tex]18\cdot\frac{1}{12}=1.5[/tex]

This means that the width and length of the box measure 1.5ft

Now we can determine the height of the box as follows:

w=l=1.5ft

V=3ft³

[tex]\begin{gathered} h=\frac{V}{wl} \\ h=\frac{3}{1.5\cdot1.5} \\ h=\frac{4}{3}ft \end{gathered}[/tex]

The height of the box is 3/4ft, if you multiply it by 12 you can express the measure in inches:

[tex]\frac{3}{4}\cdot12=9[/tex]

The box has a deph of 9 inches.

Timothy Tools is a company that produces hand-crafted hammers and wrenches. The following equations can be used to determine how many hammers the company can produce each day if x people are making hammers

Answers

The domain of the function of the equation cannot include zero because h(0) is not real.

A scale used to weigh objects is analogous to an equation. When the two pans are filled to the same level with anything, the scale will balance and the weights will be considered to be equal (such as grain).

To keep the balance in check, whenever any grain is taken out of one of the balance's pans, an equal amount must be taken out of the other pan. In general, if the same operation is carried out on both sides of an equation, the equation remains in balance.Equations that involve one or more functions and their derivatives are known as differential equations. By locating a derivative-free formulation for the function, they can be resolved.

The equation is given as [tex]h(x) = \sqrt{2x^2+5x+3}[/tex]

The equation at x=0 given

h(0) = √(0+0-3)

or, h(0) = √(-3) which is an imaginary number

Therefore for the equation the value of x at 0 is undefined.

To learn more about equation visit:

https://brainly.com/question/10413253

#SPJ1

Find the particular antiderivative F(x) of f(x) = 18x - 13 that satisfies F(1) = 11.

Answers

To get the antiderivative of the function, we will integrate F(x), as follows:

[tex]\begin{gathered} \int (18x-13)dx=\int 18xdx-\int 13dx \\ =\frac{1}{2}(18x^2)-13x+C \\ =9x^2-13x+C \end{gathered}[/tex]

Now, to get the particular antiderivative, we evaluate the antiderivative for x = 1, and it must be equal to 11. This can be shown as:

[tex]\begin{gathered} 9(1)^2-13(1)+C=11 \\ 9-13+C=11 \\ C=11+13-9 \\ C=24-9 \\ C=15 \end{gathered}[/tex]

Hence, the particular antiderivative is

[tex]F(x)=9x^2-13x+15[/tex]

What is the measure of angle 1 in the picture below?2135°O 90 degreesO 225 degreesO 45 degreesO 135 degrees

Answers

1 and 135 are corresponding angles.

Corresponding angles on parallel lines are equal

m<1= 135 degrees

Which graph best represents the solution set for all possible combinations of x, the number of hours she worked at her 1st job, and y, the number of hours she worked at her second job, in one week?

Answers

The equation must be x + y < 48

Graph

Are the triangles congruent using AAS?
True
False

Answers

Answer: True

Step-by-step explanation:

If you look both triangles have the same angles, so that means that they are congruent.

Mark made the following shape using two rectangles and one triangle. What is the area of the figure he made?

Answers

Answer:

44 square centimetres.

Explanation:

The shape consists of two rectangles and one triangle with the following dimensions:

• A rectangle (Rectangle 1) with dimensions of 4cm by 2cm.

• A rectangle (Rectangle 2) with dimensions 6cm by 4cm.

• A triangle with base 6cm and height of 4cm.

Thus, the area of the figure made will be:

[tex]\begin{gathered} \text{Area of figure=Area of rectangle 1+Area of rectangle }2+\text{Area of }\triangle \\ =(4\times2)+(6\times4)+(\frac{1}{2}\times6\times4) \\ =8+24+12 \\ =44\operatorname{cm}^2 \end{gathered}[/tex]

The area of the figure is 44 square centimetres.

7/9 ÷ 3/9 = ????????

Answers

7/9 ÷ 3/9 =

= (7•9)/( 3•9)

= 63/27 = 7/3

Answer is 7/3

Find the product and write your answer in proper scientific notation (4.5 x 10³)/(3 x 10⁶)

Answers

Answer:

[tex]1.5\times10^{-3}[/tex]

Explanation:

Given the rational expression

[tex]\frac{4.5\times10^3}{3\times10^6}[/tex]

We can rewrite the fraction as:

[tex]=\frac{4.5}{3}\times\frac{10^3}{10^6}[/tex]

We then simplify and apply the division law of indices to obtain:

[tex]\begin{gathered} =1.5\times10^{3-6} \\ =1.5\times10^{-3} \end{gathered}[/tex]

Note: When you have the same base of an exponent and the terms are being divided, we simply subtract the power of the numerator from that of the denominator.

Help please. Catching up on missed work from being out due to medical issues. Thank you in advance!

Answers

Let B be the number of cups of boiling water that we should mix with I cups of ice to get 3 cups of 110°F water.

Therefore, we can set the following equation:

[tex]\begin{gathered} B+I=3, \\ 220B+32I=110\cdot3. \end{gathered}[/tex]

Subtracting B from the first equation we get:

[tex]\begin{gathered} B+I-B=3-B, \\ I=3-B\text{.} \end{gathered}[/tex]

Substituting the above equation in the second one we get:

[tex]220B+32(3-B)=330.[/tex]

Simplifying the above result we get:

[tex]\begin{gathered} 220B+96-32B=330, \\ 188B+96=330. \end{gathered}[/tex]

Subtracting 96 to the above equation we get:

[tex]\begin{gathered} 188B+96-96=330-96, \\ 188B=234. \end{gathered}[/tex]

Dividing the above equation by 188 we get:

[tex]\begin{gathered} \frac{188B}{188}=\frac{234}{188}, \\ B\approx1.24. \end{gathered}[/tex]

Substituting B=1.24 at I=3-B we get:

[tex]I=3-1.24=1.76.[/tex]

Answer:

[tex]\begin{gathered} 1.26\text{ cups of boiling water.} \\ 1.74\text{ cups of ice.} \end{gathered}[/tex]

Ganymede is one of Jupiter’s moons. It takes Ganymede 7 days, 3 hours, and 15 minutes to make one rotation around Jupiter. How many hours does it take Ganymede to complete a full rotation? Show your work using the correct conversion factors and make sure all conversion factors are labeled with appropriate units. You should have more than one conversion factor shown.

Answers

The number of hours it will take Ganymede to complete a full rotation is; 171.25 hours.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

The first step must be to convert days to hours. A day is equivalent to the 24 hours.

1 day = 24 hours

24 x 7 = 168 hours

The second step must be to convert minutes to hours,

60 minutes = 1 hour

15 / 60 = 0.25 hours

Now, add up all the converted hours together;

Total hours = 168 hours + 3 hours + 0.25 hours

Total hours = 171.25 hours

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ1

A. F(x) = -x^7+4x^3-2x^2B. F(x)= x^9+12x^8+x^7C. F(x) =x^8+4x^4+20x^2D. F(x) = -x^6+x^3-x^2

Answers

[tex]F(x)=-x^7+4x^3-2x^2[/tex]

answer:

A. F(x) = -x^7+4x^3-2x^2

There area 17,60 gaffs in a mile . What is the number of yards in a mile rounded to the nearest hundred? 1- How many places are in this number?2- What are the places? 3- What place are you rounding to?4- What digit is in that place?5- What place is to the right of the place you are rounding to?6- What digit is in that place?Is this digit 5 or greater?7- What is the rule for digits 5 or greater? 8- Will you need to change the hundreds digit? If so, to what? 9- Which places will you change to 0s?10- What is the number of yards in a mile rounded to the nearest hundred?

Answers

itWe were given the following:

[tex]1760yard=1mi[/tex]

There are 4 places in this number

1 thousand + 7 hundred + 6 tens + 0 units

We are rounding to the hundreds place

Seven (7)

To the right, we have the ''tens''

Six(6). Yes, the digit is 5 or greater

Digits that are 5 or greater than are approximated to the next digit

Yes. From 7 to 8

The tens place will be changed to 0

10.

The number of yards in a mile rounded to the nearest hundred is:

[tex]\begin{gathered} 1,760yards=1mi \\ 1,760\approx1800 \\ =1,800yards(to\text{ the nearest hundred)} \end{gathered}[/tex]

A car rental company offers two plans for renting a car.

Plan A: 35 dollars per day and 10 cents per mile

Plan B: 55 dollars per day with free unlimited mileage

How many miles would you need to drive in one day for plan B to save you money?

Answers

Answer:

Less than 200 miles, A is cheaper

At 200 miles, they are the same

Over 200 miles, B is less expensive

Step-by-step explanation:

Please explain this to me

Answers

If a perpendicular b and b parallel to c, then the value of x = 8

Here b and c are parallel lines

The parallel lines are two lines in the same plane that are at equal distance from each other and that do not intersect at any point

Then a is perpendicular to b

The perpendicular lines are the line that forms the angle of 90 degrees for both angles

Therefore the given angles are 90 degrees

9x+18 = 90

9x = 90-18

9x = 72

x = 72/9

x = 8

Hence, If a perpendicular b and b parallel to c, then the value of x = 8

Learn more about perpendicular lines here

brainly.com/question/18271653

#SPJ1

(d) Find the domain of function R. Choose the correct domain below.

Answers

Answer:

Step-by-step explanation:

The number of years must be non-negative.

This eliminates all of the options except for d.

Find the area and perimeter of a rhombus with a diagonals 15 in and 20 in

Answers

Given data:

The diagonals of rhombus d1 = 15 in and d2 = 20 in

The area of the rhombus,

[tex]\begin{gathered} A=\frac{1}{2}\times d1\times d2 \\ A=\frac{1}{2}\times15\times20 \\ A=150\text{ inches sq.} \end{gathered}[/tex]

Now, to find the perimeter of rhombus we first find the side of rhombus.

The diagonal of the rhombus is considered as diameter, so the radius will be

d1 = r1 = 7.5

d2 = r2 = 10

So, by using the pythagorean theorem we find the side of the rhombus

[tex]\begin{gathered} h^2=(7.5)^2+(10)^2 \\ h^2=56.25+100 \\ h^2=156.25 \\ h=12.5 \end{gathered}[/tex]

The perimeter of the rhombus is,

[tex]\begin{gathered} P=4\times side \\ P=4\times12.5 \\ P=50\text{ inches} \end{gathered}[/tex]

Thus, the area is 150 in. sq. and perimeter is 50 in.

Four points W, X, Y, Z are chosen at random on the circumference of a circle. What is the probability that WX > YZ?

Answers

The probability to choose WX > YZ is 1/2.

What is mean by Probability?

The term probability refers to the likelihood of an event occurring.

Given that;

Four points W, X, Y, Z are chosen at random on the circumference of a circle.

Now,

By the four points W, X, Y, Z we make two line WX and YZ.

So, There are two relation between the line WX and YZ.

Thus, The probability to choose WX > YZ is;

Probability = Possible event / Total possibility

= 1/2

Therefore, The probability to choose WX > YZ is 1/2.

Learn more about the probability visit:

https://brainly.com/question/24756209

#SPJ1

A recipe requires 2 and 1 third cups of flower the chef needs to increase the recipe bya factor of 4 how many cups of flower does the chef need

Answers

The number of cups needed by the chef is 9 1/3 cups.

How to calculate the fraction?

A fraction simply means a part of a whole number.

In this case, the recipe requires 2 and 1 third cups of flower the chef needs to increase the recipe by a factor of 4.

The cups needed will be:

= 2 1/3 × 4

= 7/3 × 4

= 28/3

= 9 1/3 cups.

This illustrates the concept of fractions.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

What does n mean?????

Answers

a. Data values are 13.4, 16.3, 14.2 , 15.4 , 14.2 ,17.5

b. ∑x = 91

c. n = 6

What is mean and data values?

Adding all numbers in the data and then dividing by the number of values is called mean. Median is defined as the middle value when a data set is in such a way that it goes from least to the greatest value. Whereas the number that occurs most often in a data set is mode. Sample size is represented by "n". Whereas, symbol Σ denotes the summation.

For the given mean,

The data values are 3.4, 16.3, 14.2 , 15.4 , 14.2 ,17.5

Summation, ∑x = 3.4+ 16.3+ 14.2 + 15.4 + 14.2 +17.5

= 91

n is the number of data that is 6.

To know more about data values and mean, refer

https://brainly.com/question/20118982

#SPJ13

What is the value of the function at x=−3? Responses y = 3 y, = 3 y = 0 y, = 0 y = 4 y, = 4 y=−3

Answers

The function has a value of y = 4 when x =-3

How to determine the value of the function?

The graph that completes the question is added as an attachment

From the graph, we can see that:

The graph of the function is a linear function

This is so because the function is a straight line

Note that:

Linear equations are equations that have constant average rates of change.

On the straight line, we can see that

The value of the function when x = -3 is 4

This means that

y = 4

Hence, the value of the function at x = -3 is y = 4