Harry’s team has won 13 less than 6 times as many games as it has lost. The team lost n games. What expression could you use to find the number of games the team has won?

Answers

Answer 1
Number of games won = 6n - 13 

Related Questions

I HATE MATH (and im lazy)

Oliver borrowed $215 from his friend John. He used this money to advertise his tutoring services. Oliver earned 8 times the amount he borrowed in his first month of tutoring. Approximately how much did Oliver earn in his first month of tutoring?

Answers

The answer is $1720
215×8=1720

Answer:

then f the teacher

Step-by-step explanation:

Please solve the eqution
Cos4x + cos2x - 2 =0

Answers

cos4x = cos2x

We know that:

cos2x = 1-2cos^2 x

==> cos4x = 1-2cos^2 (2x)

Now substitute:

==> 1-2cos^2 (2x) = cos2x

==> 2cos^2 (2x) + cos2x - 1 = 0

Now factor:

==> (2cos2x -1)(cos2x + 1) = 0

==> 2cos2x -1 = 0 ==> cos2x =1/2 ==> 2x= pi/3

==> x1= pi/6 , 7pi/6

==> x1= pi/6 + 2npi

==> x2= 7pi/6 + 2npi

==> cos2x = -1 ==> 2x= pi ==> x3 = pi/2 + 2npi.

==> x= { pi/6+2npi, 7pi/6+2npi, pi/2+2npi}

The solutions to the equation cos(4x) + cos(2x) - 2 = 0 are x = nπ and x = (2n + 1)π/2, where n is an integer.

Here, we have to solve the equation cos(4x) + cos(2x) - 2 = 0, we can use trigonometric identities to simplify it.

We know the following trigonometric identities:

[tex]cos(2x) = 2cos^2(x) - 1\\cos(4x) = 2cos^2(2x) - 1[/tex]

Now, let's rewrite the equation using these identities:

[tex]2cos^2(2x) - 1 + 2cos^2(x) - 1 - 2 = 0[/tex]

Combine like terms:

[tex]2cos^2(2x) + 2cos^2(x) - 4 = 0[/tex]

Divide the entire equation by 2:

[tex]cos^2(2x) + cos^2(x) - 2 = 0[/tex]

Now, let's simplify further:

We can rewrite [tex]cos^2(2x)[/tex] as [tex](1 - sin^2(2x))[/tex]using the Pythagorean identity: [tex]sin^2(\theta) + cos^2(\theta) = 1[/tex]

So, the equation becomes:

[tex](1 - sin^2(2x)) + cos^2(x) - 2 = 0[/tex]

Rearrange the terms:

[tex]cos^2(x) - sin^2(2x) - 1 = 0[/tex]

Now, use the double-angle identity: [tex]sin^2(2x) = 2sin(x)cos(x)[/tex]

[tex]cos^2(x) - 2sin(x)cos(x) - 1 = 0[/tex]

Now, we can rewrite [tex]cos^2(x) as (1 - sin^2(x))[/tex] using the Pythagorean identity:

[tex]sin^2(\theta) + cos^2(\theta) = 1[/tex]

[tex](1 - sin^2(x)) - 2sin(x)cos(x) - 1 = 0[/tex]

Now, simplify further:

[tex]1 - sin^2(x) - 2sin(x)cos(x) - 1 = 0[/tex]

We can see that [tex](1 - sin^2(x))[/tex] cancels out:

-2sin(x)cos(x) = 0

Divide both sides by -2:

sin(x)cos(x) = 0

Now, there are two possible solutions for this equation:

sin(x) = 0

cos(x) = 0

Let's solve each case:

sin(x) = 0

This occurs when x is an integer multiple of π (π, 2π, 3π, ...). So the solutions are x = nπ, where n is an integer.

cos(x) = 0

This occurs when x is an odd multiple of π/2 (π/2, 3π/2, 5π/2, ...). So the solutions are x = (2n + 1)π/2, where n is an integer.

Therefore, the solutions to the equation cos(4x) + cos(2x) - 2 = 0 are x = nπ and x = (2n + 1)π/2, where n is an integer.

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The sensory somatic nervous system controls all _________ responses of the body.

unconscious
voluntary
sequenced
repeated

Answers

Answer:

The sensory somatic nervous system controls all voluntary responses of the body.

Step-by-step explanation:

The sensory somatic nervous system controls all voluntary responses of the body.

The movements includes muscles and organs movements and reflex movements. Here the sensory neurons carry impulses to the brain and the spinal cord.

Solve log base(x − 1) 16 = 4.

Answers

i hope this helps you


x=3

Answer:

x = 3

Step-by-step explanation:

  Given:[tex]\log _{x-1}\left(16\right)=4[/tex]

We have to solve for x.

Consider the given expression [tex]\log _{x-1}\left(16\right)=4[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \log _a\left(b\right)=\frac{\ln \left(b\right)}{\ln \left(a\right)}[/tex]

[tex]\log _{x-1}\left(16\right)=\frac{\ln \left(16\right)}{\ln \left(x-1\right)}[/tex]

Thus, the expression becomes,

[tex]\frac{\ln \left(16\right)}{\ln \left(x-1\right)}=4[/tex]

Multiply both side by [tex]\ln \left(x-1\right)[/tex]

[tex]\frac{\ln \left(16\right)}{\ln \left(x-1\right)}\ln \left(x-1\right)=4\ln \left(x-1\right)[/tex]

Simplify, we get,

[tex]\ln \left(16\right)=4\ln \left(x-1\right)[/tex]

Divide both side by 4, we have,

[tex]\frac{4\ln \left(x-1\right)}{4}=\frac{\ln \left(16\right)}{4}[/tex]

[tex]\frac{\ln \left(16\right)}{4}:\quad \ln \left(2\right)[/tex]

Thus, [tex]\ln \left(x-1\right)=\ln(2)[/tex]

[tex]\mathrm{When\:the\:logs\:have\:the\:same\:base:\:\:}\log _b\left(f\left(x\right)\right)=\log _b\left(g\left(x\right)\right)\quad \Rightarrow \quad f\left(x\right)=g\left(x\right)[/tex]

thus, x - 1 = 2

simplify for x, we have,

x = 3

Find the zeros of the polynomial function and state the multiplicity of each.

f(x) = 5(x + 8)2(x - 8)3
A. 4, multiplicity 1; -8, multiplicity 3; 8, multiplicity 3

B. -8, multiplicity 2; 8, multiplicity 3

C. -8, multiplicity 3; 8, multiplicity 2

D. 4, multiplicity 1; 8, multiplicity 1; -8, multiplicity 1

Answers

f(x) = 5(x + 8)2(x - 8)3

the true answer is B. -8, multiplicity 2; 8, multiplicity 3
because 
e.g: (x + 8)2= (x-  (-8))²,  -8 is the zero and 2 is the multiplicity

The given polynomial has roots -8 with multiplicity 2 and 8 with multiplicity 3. Hence option  B is correct.

Use the concept of polynomial defined as:

An expression that contains exponents, variables, and constants that is combined using mathematical operations such as addition, subtraction, multiplication, and division is known as a polynomial.

The given polynomial is:

f(x) = 5(x + 8)²(x - 8)³

To find its root equate this polynomial to 0.

Then,

5(x + 8)²(x - 8)³ = 0

(x + 8)²(x - 8)³ = 0

(x + 8)(x + 8)(x - 8)(x - 8)(x - 8) = 0

Therefore,

x = -8, -8, 8, 8, 8

Hence,

It has root -8 with multiplicity 2 and 8 with multiplicity 3 which is option B.

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The complete question is:

Find the zeros of the polynomial function and state the multiplicity of each.

f(x) = 5(x + 8)²(x - 8)³

A. 4, multiplicity 1; -8, multiplicity 3; 8, multiplicity 3

B. -8, multiplicity 2; 8, multiplicity 3

C. -8, multiplicity 3; 8, multiplicity 2

D. 4, multiplicity 1; 8, multiplicity 1; -8, multiplicity 1

In the formula A=\pi r^{2}, if the radius is 6 centimeters, what is the correct unit for the area of the circle?
A)\pi cm
B)cm^2
C)cm
D)cm^3

Answers

I hope this helps you



Area=pi.6^2



Area=36pi cm^2

Watermelons cost $0.35 per pound. Joseph’s watermelon costs between $4.20 and $5.25. Which compound inequality correctly represents the possible weights of his watermelon?

Answers

The answer is 12 < x < 15

x - the weight of Joseph's watermelon 

Watermelons cost $0.35 per pound:
0.35x

Joseph’s watermelon costs between $4.20 and $5.25:
4.20 < 0.35x < 5.25

Divide all by 0.35:
4.20/0.35 < 0.35x/0.35 < 5.25/0.35
12 < x < 15

Answer: 12 < x < 15

Step-by-step explanation:

explai n how a number and its reciprocal are related

Answers

A non-zero number times its reciprocal is always equal to 1.

[tex]a * \frac{1}{a} = 1[/tex]

What is the prime factorization of 126

Answers

126 factors into 2, 3, 3, and 7.

The prime factorization of the number 126 is 2,3,3, and 7.

What is prime factorization?

Any number can be represented as a sum of prime numbers by prime factorization. A number with exactly two factors, 1 and the number itself, is said to be a prime number. As an illustration, the prime factorization of 18 is 2,3, and 3.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the number is 126. The prime factorization of the number 126 will be calculated as:-

126 = 2 x 3 x 3 x 7

Hence, the prime factorization of the number 126 is 2,3,3, and 7.

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Write 16 1/2 as an improper fraction

Answers

the improper fraction of 16 1/2 would be 33/2
To write 16 1/2 as an improper fraction, multiply the whole number by the denominator and then add the product to the numerator.

Then place the final answer the denominator.

16 1/2 becomes 33/2.

A sequence in which each term is found by adding the same number

Answers

that would be an arithmetic sequence

the formula for finding the area of a circle is a equals pi r square. solve the formula for r.

Answers

I hope this helps you



Area=pi.r^2


r^2=Area/pi


r= square root of Area/pi

Which of the following is the inverse of the function {(1,2),(3,4),(6,8)}

A. {(6,8),(3,4),(1,2)}
B. {(2,1),(4,3),(6,8)}
C. {(2,1),(4,3),(8,6)}
D. {(2,1),(3,4),(8,6)}

Answers

C.{(2,1),(4,3),(8,6)}

how to find a whole number in this question 4% of ... is 56?

Answers

[tex] \frac{4}{100} * x=56[/tex]
[tex] \frac{1}{25} * x=56[/tex]
[tex]1400[/tex]

Sam is flying a kite. the length of the kite string is 80 meters, and it makes an angle of 75° with the ground. the height of the kite from the ground is meters.

Answers

height equals 80 meters times sin(angle of 75 degrees)

h = 80 (0.966) = 77.27 meters height of kite from the ground

Answer:

Height of the kite from ground is 77 m.

Step-by-step explanation:

Given: Length of the kite string = 80 m

           Angle of elevation = 75°

To find: Height of the kite from the ground.

Figure is attached.

In ΔABC

using trigonometric ratio,

[tex]sin\,75^{\circ}=\frac{AB}{AC}[/tex]

[tex]0.97=\frac{AB}{80}[/tex]

[tex]AB=0.97\times80[/tex]

AB = 77.27 m

AB = 77 m (approx.)

Therefore, Height of the kite from ground is 77 m.

who good at the math

Answers

Im pretty good at Math depending on what type of math it is?

The formula for rate is r=d/t . Solve for d.

Answers

I hope this helps you




d/t=r


d=r.t
Simple...

you have: [tex]r= \frac{d}{t} [/tex]

You want to solve for d->>> to isolate d multiply both sides by t...

[tex]t*r =\frac{d}{t} *t[/tex]

[tex]t*r=d[/tex]

Thus, your answer.

A1+a2+a3=180 solve for a1

Answers

Answer: a1=180-a2-a3....
A1 = 180 - (a2 + a3) ;
_______________________
or: 
_______________________
A1 = 180 - a2 - a3.
_______________________.
Since there are no values given, we solve for "A1" by isolating "A1" and solving in terms of the remaining values.

What did the inventor of the 10 ton truck so often say

Answers

Here is the answer to the given riddle above. What the inventor of the 10 ton truck so often say is that "Diesel Be Good". This is actually a riddle in math that you have to solve with the corresponding letters. Hope this is the answer that you are looking for.

Answer:

This is an equation in which we have to find the slope of the line. We are supposed to draw the line for the two given points.

Step-by-step explanation:

The equation and the graph are solved as:

For graph One: B=(4,4)(1,2)  for that m= 2/3. E=(2,0)(-4,4), for this m=-2/3. O=(1,-3)(-3,-4),m=1/4.for Second graph: I=(-1,-3)(2,3), m=2. E=(-4,-3)(-2,-1), m=-2. O=(-3,0)(-1,5),m=5/2. for the third graph:E=(0,2)(5,-1),m=-3/5. D=(5,6)(2,-1), m=7/3.L=(-5,2)(0,-3),m=-1.for the fourth graph: D=(0,0)(2,-6),m=-3. G=(4,5)(-2,4),m=1/6. S=(2,-3)(-5,-3), m=0.

Now the Graphical data and the results are attached to the answer, given hope it helps out.

XY is the perpendicular bisector of JK. which of the following statements must be true? check all that apply?

A. XY and JK form four right angles
B. P is the midpoint of XY
C. m D. XP=YP
E.JP=KP
F. XY perpendicualr to JK

Answers

Final answer:

According to the properties of a perpendicular bisector, XY will form four right angles with JK, XY is perpendicular to JK, and it must bisect JK into two equal parts, making statements A, D, E, and F true.

Explanation:

The question tells us that XY is the perpendicular bisector of JK. This tells us a few things about the relationship between the two lines and the points on them:

XY and JK form four right angles: Because XY is a perpendicular bisector, it intersects line JK at a 90° angle.XY perpendicular to JK: This simply restates that the angle formed by the intersection of XY and JK is a right angle.JP=KP: Perpendicular bisectors not only intersect the other line at a right angle, but they also bisect it, which means they cut it into two equal parts. Thus, point J is as far from the point of intersection as point K, making JP equal to KP.XP=YP: This is also a property of the perpendicular bisector. It means that the point of intersection P is the midpoint of XY, making segment XP equal to segment YP.

The options regarding P being the midpoint of XY and the statement that includes an undefined variable 'm' were ignored due to lack of context.

Final answer:

The statements that must be true when XY is the perpendicular bisector of JK are: XY and JK form four right angles, P is the midpoint of XY, XP = YP, and XY is perpendicular to JK.

Explanation:

To determine which of the statements must be true, we need to understand the properties of a perpendicular bisector. A perpendicular bisector of a line segment is a line that divides the line segment into two equal parts and forms a right angle with the line segment.

From this definition, we can conclude that the following statements must be true:

A. XY and JK form four right angles - Since XY is the perpendicular bisector of JK, it forms a right angle with JK at each point of intersection.

B. P is the midpoint of XY - The perpendicular bisector passes through the midpoint of the line segment it bisects.

C. XP = YP - Since P is the midpoint of XY, XP and YP have equal lengths.

F. XY is perpendicular to JK - This is the definition of a perpendicular bisector.

Write the standard form of the equation of the line that passes through the given points.
(5, 3) and (8, -2)

Answers

Equation of the line is given by
y - 3 = (-2 - 3)/(8 - 5) (x - 5)
y - 3 = -5/3 (x - 5)
3y - 9 = -5x + 25
5x + 3y = 34

Tim is setting up the course for a 9 mile walk.he places a sign every 0.15 mile along the path. how many signs will tim place

Answers

Divide the values

9/0.15 = 60

so he will place 60 signs

The ratio of sues age to her fathers age is 2:7 in three years their ages will total 60, how old is sue and her dad right now

Answers

Sue is 12 and her father is 42
Sue is 12, her father is 42.

Determine c so that f(x) is continuous on the entire real line if f(x)= x^2 when x<=3 and c/x when x>3 ...?

Answers

f(x) = x^2  .... if x ≤ 3

f(x) = c /x    ... if x > 3

Contidition of continuity => Lim f(x) when x approaches 3 from the right side equals f(3).

f(3) = x^2 = 9

Lim c/ x when x -> 3+  = c/3

Then c / 3  = 9 => c = 3*9 = 27

Answer: c = 27.

what is 4.09 rounded to the nearest

Answers

4.09 rounded to the nearest tenth is 4.1

Morgan calculated that he spent 305 minutes doing homework one week and 284 minutes doing homework the next week. How much more time did he spend doing homework the first week?

Answers

Morgan spent 21 minutes more the first week than the second.

A fast food restaurant sells between 164 and 328 hamburgers per day. If the company profits $82.00 per 82 hamburgers sold, approximately how much does the company profit in one year from hamburgers?

PLZZZZZZ HELPPPP

Answers

If the company earns $82 per 82 hamburgers then that means that the company earns $1 per burger sold. Therefore we are able to deduct that the company profits in between $59,860 and $119,720 a year. We know this because the minimum number (164) x 365 is 59,860 and the maximum number (328) is 119,720.

Does antibiotics help kill the common cold??

Answers

Antibiotics don't work on the common cold. They fight bacteria-related illnesses. Colds are caused by viruses, so antibiotics won't do you any good. They can, however, do you harm.Mar 29, 2016
No it doesn't because colds are made up of viruses. So the antibiotics won't help.

The equation of line KL is y=-1/2x-6. The equation line WX is 7x-14y=-42. Rewrite the equation of line WX in slope-intercept form and determine if the two lines are parallel.

Answers

Hope you are able to understand the solution. :-D

The equation of line WX in slope-intercept form is,

⇒ y = 1/2x + 3

And, Lines WX and Kl are not parallel lines because its slopes are not equal to each other.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The equation of line KL is,

⇒ y = - 1/2x - 6.

And, The equation line WX is,

⇒ 7x - 14y = - 42

Now,

The equation of line WX in slope-intercept form is,

⇒ 7x - 14y = - 42

⇒ 7x + 42 = 14y

⇒ 14y = 7x + 42

⇒ y = 7x/14 + 42/14

⇒ y = 1/2x + 3

Hence, Slope of equation of line WX is,

⇒ y = 1/2x + 3

⇒ dy/dx = 1/2

⇒ m = 1/2

And, Slope of equation of line KL is,

⇒ y = - 1/2x - 6

⇒ dy/dx = - 1/2

⇒ m = - 1/2

We know that;

Slopes of parallel lines are equal.

Hence, Lines WX and Kl are not parallel lines because its slopes are not equal to each other.

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graph the line y=3/4x-2

Answers

c. Intersecting lines

Step-by-step explanation: First, notice that this line is in slope intercept or more commonly known as y = mx + b form because y is by itself on one side of the equation.

Our slope or m therefore is the coefficient of the x-term which in this case is 3/4. Our b or y-intercept is the constant term which in this case is -2.

To graph a line given the slope and y-intercept, we will first start with its y-intercept. The y-intercept of a line is the point where the line crosses the y-axis. Since our y-intercept is -2, we start by plotting the point that is down 2 units on the y-axis and we call that point A.

From there we take our slope of 3/4 so our rise is 3 and our run is 4 and we end up at point B. Now we can connect the two points and we have our line.

I attached the image of the line in the image provided.

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