What is the solution to the system of
equations shown below?

Answer:

The two angles are supplementary

Step-by-step explanation:

Not sure if this is an option, but it would make sense with the question

The sum of the adjacent angles is 180° which means the adjacent angle will be supplementary angles.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.

Gustavo saw that when a couple of equal lines were cut by a cross-over, a specific set of nearby points shaped a straight line.

The sum of the adjacent angles is 180° which means the adjacent angle will be supplementary angles.

The diagram is given below.

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Answer:

x = - 7

Step-by-step explanation:

( x + 139 ) and 132 are vertically opposite angles.

Vertically opposite angles are equal,

x + 139 = 132

x = 132 - 139

x = - 7

Answer:

The polynomial is \(x^{3} - 1.46x^{2} - 3.93x + 6\)

Step-by-step explanation:

A nth order polynomial f(x) has roots \(x_{1}, x_{2}, ..., x_{n}\) such that \(f(x) = (x - x_{1})*(x - x_{2})*...*(x - x_{n}}\),

Which of the following is a polynomial with roots: − square root of 3 , square root of 3, and −2?

So

\(x_{1} = x_{2} = \sqrt{3}\)

\(x_{3} = -2\)

Then

\((x - \sqrt{3})^{2}*(x - (-2)) = (x - \sqrt{3})^{2}*(x + 2) = (x^{2} -2x\sqrt{3} + 3)*(x + 2) = x^{3} + 2x^{2} - 2x^{2}\sqrt{3} - 4x\sqrt{3} + 3x + 6\)

Since \(\sqrt{3} = 1.73\)

\(x^{3} + 2x^{2} - 3.46x^{2} - 6.93x + 3x + 6 = x^{3} - 1.46x^{2} - 3.93x + 6\)

The polynomial is \(x^{3} - 1.46x^{2} - 3.93x + 6\)

5

Step-by-step explanation:

add the fractions. you have to find the common denominator, 100/150+30/150+15/150= 145 so 5

1/30 of 150=5

The caramel apples that are covered with sprinkles are 5.

Arithmetic operation is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots.

Now it is given that,

Olivia has 150 caramel apples.

Each caramel apple is covered with one topping.

• 2/3 of the caramel apples are covered with peanuts.

• 1/5 are covered with chocolate chips.

• 1/10 are covered with coconuts.

The rest are covered with sprinkles.

Let 'n' be the number of caramel apples are covered with sprinkles.

Thus,we can write

(2/3)*150 + (1/5)*150 + (1/10)*150 + n = 150

100 + 30 + 15 + n = 150

145 + n = 150

⇒ n = 150 - 145

⇒ n = 5

Thus, the caramel apples that are covered with sprinkles are 5.

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The complete question is,

Olivia has 150 caramel apples to sell. Each caramel apple is covered with one topping.

• 2/3 of the caramel apples are covered with peanuts.

• 1/5 are covered with chocolate chips.

• 1/10 are covered with coconuts.

The rest are covered with sprinkles.

How many caramel apples are covered with sprinkles?

Answer:

y = 6x + 4

Step-by-step explanation:

Find the slope (m) of the line that contains (1, 10) and (0, 4).

Slope = ∆y/∆x = (4 - 10) / (0 - 1) = -6/-1

Slope (m) = 6

Find the y-intercept (b):

y-intercept (b) is 4 because it is the value of y when x = 0.

To write the equation in slope-intercept form, substitute m = 6 and b = 4 into y = mx + b.

Thus:

y = 6x + 4

Answer:

-4

Step-by-step explanation:

its closer to -4

Answer:

480

Step-by-step explanation:

In each box there is 32. Well, we know there is 15 boxes, so we multiply 32 and 15 to get 480.

She bought 480 total bananas :D

Answer:

She would've eaten 480 bananas

Step-by-step explanation:

Answer: A, B, C, D

Step-by-step explanation:

A. This is true because all rhombi are parallelograms, and diagonals of a parallelogram bisect each other.

B. This is true because the diagonals of a rhombus are perpendicular.

C. This is true because diagonals of a rhombus bisect the angles from which they are drawn,

D. This is true because all sides of a rhombus are congfruent.

E. This is not always true - all rhombi are parallelograms, and adjacent angles of a parallelogram are supplementary, but not always congruent.

F. This is not always true - diagonals of a rhombus are not always congruent.

Answer:

f(r-2) = 6r -5

Step-by-step explanation:

f(r-2) is another notation for x = r-2

so we’ll plug in r-2 for x and solve:

f(r-2) = 6(r-2)+7

f(r-2) = 6r -12 +7

f(r-2) = 6r -5

Answer:

0+3*x^2-2*x-6;0*2*x^2+3*x-6;4*x^2+8*x^4-2;2*x+x^3-x+2

Step-by-step explanation:

Simplify 0{x}^{3}0x

3

to 00.

\begin{aligned}&0+3{x}^{2}-2x-6\\&0\times 2{x}^{2}+3x-6\\&4{x}^{2}+4{x}^{3}\times 2x-2\\&2x+{x}^{3}-x+2\end{aligned}

0+3x

2

−2x−6

0×2x

2

+3x−6

4x

2

+4x

3

×2x−2

2x+x

3

−x+2

Take out the constants.

\begin{aligned}&0+3{x}^{2}-2x-6\\&0\times 2{x}^{2}+3x-6\\&4{x}^{2}+(4\times 2){x}^{3}x-2\\&2x+{x}^{3}-x+2\end{aligned}

0+3x

2

−2x−6

0×2x

2

+3x−6

4x

2

+(4×2)x

3

x−2

2x+x

3

−x+2

Simplify 4\times 24×2 to 88.

\begin{aligned}&0+3{x}^{2}-2x-6\\&0\times 2{x}^{2}+3x-6\\&4{x}^{2}+8{x}^{3}x-2\\&2x+{x}^{3}-x+2\end{aligned}

0+3x

2

−2x−6

0×2x

2

+3x−6

4x

2

+8x

3

x−2

2x+x

3

−x+2

Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x

a

x

b

=x

a+b

.

\begin{aligned}&0+3{x}^{2}-2x-6\\&0\times 2{x}^{2}+3x-6\\&4{x}^{2}+8{x}^{3+1}-2\\&2x+{x}^{3}-x+2\end{aligned}

0+3x

2

−2x−6

0×2x

2

+3x−6

4x

2

+8x

3+1

−2

2x+x

3

−x+2

Simplify 3+13+1 to 44.

\begin{aligned}&0+3{x}^{2}-2x-6\\&0\times 2{x}^{2}+3x-6\\&4{x}^{2}+8{x}^{4}-2\\&2x+{x}^{3}-x+2\end{aligned}

0+3x

2

−2x−6

0×2x

2

+3x−6

4x

2

+8x

4

−2

2x+x

3

−x+2

2x + x³ - x + 2 is a polynomial cannot be factored further, so it is prime.

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

To determine if a polynomial is prime, we need to check if it is possible to factor it into two polynomials with lower degree and integer coefficients.

If a polynomial cannot be factored in this way, it is prime.

Let's check each polynomial:

x³ + 3x² - 2x - 6

This polynomial can be factored into (x + 2)(x² + x - 3), so it is not prime.

x³+2x² + 3x - 6

This polynomial can be factored into (x² + 3)(x³ + 2), so it is not prime.

4x² + 4x³2x-2

This polynomial can be factored into 2x(2x² + 1)(x + 1), so it is not prime.

2x + x³ - x + 2

This polynomial cannot be factored further, so it is prime.

Hence, 2x + x³ - x + 2 is a polynomial cannot be factored further, so it is prime.

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Answer:

im pretty sure if you guessed that you guessed right thats its c i have a small headache but it should be right

Answer:

You are correct, c is the answer.

Step-by-step explanation:

Two hot air balloons.

Balloon one: starts at 30 miles from town and after 2 hours, it is 48 miles

Distance of Tasha's balloon is represented by function y = 8x + 20

x is independent variable so it would represent the time.

y is dependent so it represents the miles travelled.

Balloon one = (0, 30) <-- begins here and (2, 48)

Balloon two = (0, 20).

So balloon one began at 30 miles while tasha's balloon began at 20 miles from town.

So Henry's balloon was farther form the town at the beginning.

Now let's find the slope/rate of change and compare then.

Henry's balloon: y-y1/x-x1 = 48-30/2 = 18/2 = 9

Tasha's balloon m: 8

9>8 Therefore henry was faster

Answer:

Step-by-step explanation:

960/3. that's 320 a side. They said maximum, I'm guessing they just wanted you to use base times height as if it was a square, since I'm not seeing any other information. the maximum possible area would be, if the sides were 320 each would be 102,400 square feet. Maximum

Given the expression:

You can expand it by using the following Identity:

You can identify that, in this case:

Then, you can expand it as follows:

By definition:

Then, you can substitute values:

Simplifying, you get:

Hence, the answer is:

4 units, 6.93 units, 9.801 units, and 6.93 units are the missing lengths.

Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant are the six trigonometric ratios (sec). A branch of mathematics called trigonometry in geometry deals with the sides and angles of a right-angled triangle. Triangles are the focus of trigonometry, or more specifically, the connection between a right-angled triangle's angles and sides. A triangle has three sides: Hypotenuse, Adjacent, and Opposite. Trigonometric Ratio refers to the ratio between these sides based on the angle between them.

Here,

cos 60°=b/8

0.5=b/8

b=4 units

sin 60°=p/8

0.866*8=p

p=6.93 units

sin 45°=6.93/h

h=6.93/0.707

h=9.801 units

cos 45°=b/9.801

0.707*9.801=b

b=6.93 units

The missing lengths are 4 units, 6.93 units, 9.801 units and 6.93 units.

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Answer: This relation is not a function

Step-by-step explanation:

To find out if a relation is a function, we need to use the vertical line test, which means each input value only has one output value. This graph does not pass that vertical line test.

Answer:

I believe it is a function

Step-by-step explanation:

The denominator is zero (0/0 is undefined), we cannot determine the exact value of f(-3) using this equation.

To solve the given equations, we need to find the value of the function f(x) for specific values of x.

"If f(x) / (x - 2) = x³ + 2x - 4 + 13/(x - 2), what is f(2)?"

To find f(2), we can substitute x = 2 into the equation and solve for f(2).

Plugging in x = 2, we get:

f(2) / (2 - 2) = 2³ + 2(2) - 4 + 13/(2 - 2)

Since the denominator is zero (2 - 2 = 0), the equation is undefined. Therefore, there is no solution for f(2) in this case.

"If f(x) / (x + 3) = 3x² - 4x + 2, what is f(-3)?"

To find f(-3), we can substitute x = -3 into the equation and solve for f(-3).

Plugging in x = -3, we get:

f(-3) / (-3 + 3) = 3(-3)² - 4(-3) + 2

Simplifying, we have:

f(-3) / 0 = 3(9) + 12 + 2

f(-3) / 0 = 27 + 12 + 2

f(-3) / 0 = 41

Additional information or context is needed to solve for f(-3).

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Answer: A = 1350 cm²

Step-by-step explanation:

The surface area of a cube is A = 6 . a²

That means A = 6 . 15²

A = 1350 cm²

Hope that helps

The area that needs tο be cοvered by carpet is L x W - 8 square feet.

Tο find the area οf the living rοοm that needs tο be cοvered by carpet, we need tο subtract the area οf the tiled flοοr frοm the tοtal area οf the living rοοm.

Let's assume that the living rοοm has dimensiοns L x W. Then, the tοtal area οf the living rοοm is:

Tοtal area = L x W

The area οf the tiled flοοr is 4 ft by 2 ft, sο the area οf the tiled flοοr is:

Tiled flοοr area = 4 ft x 2 ft = 8 square feet

Tο find the area that needs tο be cοvered by carpet, we need tο subtract the area οf the tiled flοοr frοm the tοtal area οf the living rοοm:

Area tο be cοvered = Tοtal area - Tiled flοοr area

Area tο be cοvered = L x W - 8

Therefοre, the area that needs tο be cοvered by carpet is L x W - 8 square feet.

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The situation Veronica receives $21 for babysitting, and then spends the same amount, $21, on a new shirt quantities combine to make 0.The correct answer is option C.

When we add +21 (the money she receives) and subtract -21 (the money she spends), the result is 0. This means that the net change in Veronica's money is zero, indicating that the quantities combine to make 0.

In situations A, B, and D, the quantities do not combine to make 0. In situation A, the player earns 4 points for getting an answer right and then earns an additional 4 points for making it around the board.

The total points earned in this situation would be 8, which is not equal to 0.

In situation B, the car is initially filled with 10 gallons of gas, but then half of that, which is 5 gallons, is used on a day's drive. The remaining fuel in the car would be 5 gallons, which is also not equal to 0.

In situation D, the bird flies 25 feet up in the air and then 25 feet across to its nest. The total distance traveled by the bird would be 50 feet, which is not equal to 0.

Therefore, only in situation C, where Veronica receives and spends the same amount of money, do the quantities combine to make 0.

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The probable question may be:

In which of these situations do the quantities combine to make 0?

A. A player a game earns 4 points for getting an answer right. She then earns 4 points for making it around the board.

B. A car is filled with 10 gallons of gas. Half of the 10 gallons are then used on a day's drive.

C. Veronica receives $21 for babysitting. She then spends $21 on a new shirt.

D. A bird flies 25 feet up in the air. It then flies 25 feet across to its nest.

Answer:$6.21

Step-by-step explanation:

57.93 - (4 X 7.99)

= $33.96

$33.96 - $18.50

= $15.46

\(\frac{15.46}{2.49}\)

= $6.2088

=$6.21

Step-by-step explanation:

x(midpoint) = a+b/

x= -2,5+2,5/2

x=0/2

x=0

Answer:200 minutes or 3 hours and 20 minutes

Step-by-step explanation:

multiple 5 and 40 and you’ll get the answer 200

Answer:

200 minutes which is 3 hours and 20 minutes.

Step-by-step explanation:

FIrst you multiply 5 x 40 which equals 200

To find out how many hours there are in 200 minutes, you divide it by 60.

200 divided by 60 = 3.3...

3 hours. The remander is 20 minuites and there you have it.

The value of the expression is 16x(x+1) / 10x² -14x -12

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)

The given expression is

16/(x-2)  ÷ 4/(x+1) + 6/x

Simplify this to have

16 / (x-2) ÷ (10x + 6) / (x+1)(x)

this implies that 16/(x-2) * (x+1)(x)/(10x +6)

16(x² + x)/(x-2)(10x+6)

Therefore the value of the expression is

16x(x+1) / 10x² -14x -12

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Answer:

\(\frac{5}{3}\)

Step-by-step explanation:

let blank be O

\(\frac{5}{6} +O=\frac{5}{2} \\\)

\(O=\frac{5}{2} -\frac{5}{6} =\frac{15}{6} -\frac{5}{6} =\frac{10}{6} =\frac{5}{3}\)

OHHHHHHH..........OK

Answer:

a. 1.25 laps per min

b. .8 min per lap

c. 17.6 minutes

Step-by-step explanation:

The laps per minute are 5 / 4, The time per lap is 4 / 5 minutes per lap, and   The time taken to swim 22 laps is 17.6 minutes.

One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components.

Given:

It takes Andre 4 minutes to swim 5 laps,

(a)  Calculate the number of laps per minute as shown below,

The number of laps per minute = Total number of laps / total time

The number of laps per minute = 5 / 4 laps per minute

(b)  Calculate the time per lap as shown below,

The time per lap = total time / total lap

The time per lap = 4 / 5 minutes per lap

(c)  Calculate the time taken to swim 22 laps as shown below,

The time taken to swim 22 laps =  time taken per lap × 22

The time taken to swim 22 laps =  4 / 5 × 22

The time taken to swim 22 laps =  88 / 5

The time taken to swim 22 laps = 17.6 minutes

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Answer:

S = {(3,p), (3,0), (4,q), (1,4)} is a set of ordered pairs, where the first element of each ordered pair is an integer and the second element is a variable. The set consists of four ordered pairs:

(3,p): The first element is 3 and the second element is p.

(3,0): The first element is 3 and the second element is 0.

(4,q): The first element is 4 and the second element is q.

(1,4): The first element is 1 and the second element is 4.

Answer:

a) To solve the differential equation y''-2y'-3y= e^4x, we first find the characteristic equation:

r^2 - 2r - 3 = 0

Factoring, we get:

(r - 3)(r + 1) = 0

So the roots are r = 3 and r = -1.

The general solution to the homogeneous equation y'' - 2y' - 3y = 0 is:

y_h = c1e^3x + c2e^(-x)

To find the particular solution, we use the method of undetermined coefficients. Since e^4x is a solution to the homogeneous equation, we try a particular solution of the form:

y_p = Ae^4x

Taking the first and second derivatives of y_p, we get:

y_p' = 4Ae^4x

y_p'' = 16Ae^4x

Substituting these into the original differential equation, we get:

16Ae^4x - 8Ae^4x - 3Ae^4x = e^4x

Simplifying, we get:

5Ae^4x = e^4x

So:

A = 1/5

Therefore, the particular solution is:

y_p = (1/5)*e^4x

The general solution to the non-homogeneous equation is:

y = y_h + y_p

y = c1e^3x + c2e^(-x) + (1/5)*e^4x

b) To solve the differential equation y'' + y' - 2y = 3xe^x, we first find the characteristic equation:

r^2 + r - 2 = 0

Factoring, we get:

(r + 2)(r - 1) = 0

So the roots are r = -2 and r = 1.

The general solution to the homogeneous equation y'' + y' - 2y = 0 is:

y_h = c1e^(-2x) + c2e^x

To find the particular solution, we use the method of undetermined coefficients. Since 3xe^x is a solution to the homogeneous equation, we try a particular solution of the form:

y_p = (Ax + B)e^x

Taking the first and second derivatives of y_p, we get:

y_p' = Ae^x + (Ax + B)e^x

y_p'' = 2Ae^x + (Ax + B)e^x

Substituting these into the original differential equation, we get:

2Ae^x + (Ax + B)e^x + Ae^x + (Ax + B)e^x - 2(Ax + B)e^x = 3xe^x

Simplifying, we get:

3Ae^x = 3xe^x

So:

A = 1

Therefore, the particular solution is:

y_p = (x + B)e^x

Taking the derivative of y_p, we get:

y_p' = (x + 2 + B)e^x

Substituting back into the original differential equation, we get:

(x + 2 + B)e^x + (x + B)e^x - 2(x + B)e^x = 3xe^x

Simplifying, we get:

-xe^x - Be^x = 0

So:

B = -x

Therefore, the particular solution is:

y_p = xe^x

The general solution to the non-homogeneous equation is:

y = y_h + y_p

y = c1e^(-2x) + c2e^x + xe^x

c) To solve the differential equation y" - 9y' + 20y = x^2*e^4x, we first find the characteristic equation:

r^2 - 9r + 20 = 0

Factoring, we get:

(r - 5)(r - 4) = 0

So the roots are r = 5 and r = 4.

The general solution to the homogeneous equation y" - 9y' + 20y = 0 is:

y_h = c1e^4x + c2e^5x

To find the particular solution, we use the method of undetermined coefficients. Since x^2*e^4x is a solution to the homogeneous equation, we try a particular solution of the form:

y_p = (Ax^2 + Bx + C)e^4x

Taking the first and second derivatives of y_p, we get:

y_p' = (2Ax + B)e^4x + 4Axe^4x

y_p'' = 2Ae^4x +