Mathematics High School

Solve f(2) for f(x)=x-51

f(2)= [?]

Answers

Answer 1
plug in 2 for x. f(20=2-51 = -49
Answer 2
The answer is:   " - 49" .
______________________________________________
  " f(2) = 49 " .
______________________________________________
Explanation:
______________________________________________
Given:  " f(x) = x – 51 " ;  Find " f(2) " ;

→  Plug in "2" for "x" to solve for " f(2)" ;

→  f(2) = 2 – 51 = - 49  ;
______________________________________________
The answer is:   " - 49" .
______________________________________________
   " f(2) = 49 " .
______________________________________________

Related Questions

Find the coordinates of the midpoint of the segment whose endpoints are H(5, 13) and K(7, 5). (12, 18)

Answers

[tex]\text{The formula of the midpoint of segment AB:}\\\\\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right).\\\\\text{We have the points}\ H(5,\ 13)\ \text{and}\ K(7,\ 5).\ \text{Substitute:}\\\\x=\dfrac{5+7}{2}=\dfrac{12}{2}=6\\\\y=\dfrac{13+5}{2}=\dfrac{18}{2}=9\\\\Answer:\ \boxed{(6,\ 9)}[/tex]

Convert this identity to one using sine term(s) only.
1-2cos(r)^2

Answers

Pythagorean identity:
sin²+cos²=1
Then cos²=1-sin²
Substitute:
1-2cos²
1-2(1-sin²)
1-2+2sin²
2sin²-1

Joanie ran in 6 races last month. Each race was 360 feet long. What was the total distance that Joanie ran in the races?

Answers

1 race = 360 feet
6 races = 360 x 6 = 2160 feet

---------------------------------------------------------------------------------
Answer: Total distance Joanie ran is 2160 feet
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I need help making a linear equation for this scenario?

"You have relatives living in the United Kingdom and in France. Suppose that you have purchased a prepaid phone card with a value of $75. Calls to the United Kingdom cost 23 cents per minute, while calls to France cost 21 cents per minute."

"Write a linear equation in two variables to represent the number of minutes you can use to call those two locations.",

Answers

Since your total value on the card is $75, we will put that on the left of the equal sign. For our two variables, we will use x and y, following mathematical tradition. Let's assign x to the number of minutes spent calling the United Kingdom and y to the number of minutes calling France. Since it costs $0.23 per minute to call the United Kingdom, we multiply 0.23 by x and get 0.23x for the total cost to call the United Kingdom. Following the same idea, 0.21y will be the total cost to call France. Adding those terms together will give the total cost, so the sum of those two terms will go on the right of the equal sign. The finished equation is given below. 75 = 0.23x + 0.21y

How many solutions exist for 3x^2 +4x + 2 = 0

Answers

There are two solutions for this problem because there are two solutions for all quadratics.

However, in this case, since the value of the discriminate (b^2 - 4ac) is negative, each of the answers are imaginary. So while there are two answers, there are no real answers to the above equation.

Answer:

The given equation [tex]3x^2+4x+2=0[/tex] has exactly 2 solutions.

Step-by-step explanation:

Given :  Equation [tex]3x^2+4x+2=0[/tex]

We have to find the number of solutions of the given equation [tex]3x^2+4x+2=0[/tex]

Consider the given equation [tex]3x^2+4x+2=0[/tex]

Since, The highest degree of the given polynomial is 2.

For a polynomial, the highest degree gives the number of solution of that polynomial.

So, [tex]3x^2+4x+2=0[/tex] has 2 solutions.

The given equation [tex]3x^2+4x+2=0[/tex] has exactly 2 solutions.

guys this Question is about system of equation word problem

please assist me !

Answers

Let f and s represent the weights of the first and second objects, respectively.
.. f - s = 200 . . . . . . . . the first is 200 lb heavier than the second
.. s = (1/3)f . . . . . . . . . . the second was 1/3 the weight of the first

In augmented matrix form, the equations can be written
.. f - s = 200
.. f - 3s = 0

The solution is
.. f = 300
.. s = 100
Their total weight is 400 lb, not enough to kill Mr. Boddy. The physics-loving professor is apparently innocent.

Frankie kept track of the total number of goals scored during the season by his soccer team. Frankie's graph shows that after two games his team had scored a total of 5 goals. After three games the team had scored a total of 6 goals. After which game had the team scored a total of 14 goals? A. 4 B. 6 C. 8 D. 9

Answers

The correct answer is letter D. 9 games. To figure this out you need to understand that you are looking for 14 on the Y axis. This represents the number of goals. Then follow that down to which soccer game it applies to.

The answer is D. i just took the test!

The solution to system of inequalities is often an infinite set of points? TRUE OR FALSE :

The solution to a system of inequalities can be represented on a graph by shading the region on the graph? TRUE OR FALSE :

When you graph multiple inequalities on the same graph, the region is where the shading overlaps are the solution region? TRUE OR FALSE :

If the inequality is in the slope-intercept form it is easy to shade the solution region. For example, if it is y< ….. Will the shading be below the line? TRUE OR FALSE :

Answers

true
true
true (poor wording)
?? A question is not true or false. A statement is true or false. The answer to the question is, "yes."

Answer:

all of them are true

A portion of a city map is shown in the figure at the right. If you walk along Maple Street between 2nd Street and Elm Grove Lane, how far do you walk? Round your answer to the nearest tenth of a yard.

Answers

The length is 259.4 yd.

We have to find the length of AC.

using sin rule,

we have

[tex]\frac{c }{Sin C} = \frac{b}{sinB}[/tex]

[tex]\frac{210}{sin 54} = \frac{b}{sin 88}[/tex]

[tex]b =\frac{210 sin 88}{sin 54}[/tex]

[tex]b = 259. 4161\\b = 259.4[/tex]

The length is 259.4 yd.

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Question

PLEASE HELP!!! i have no idea what i’m doing!!! your help would be GREATLY appreciated!!!

Answers

your answer should be 0.36

Evaluate x divided by 80 for x = 8/9. The choices are
A.71 1/9
B.1/9
C.9/640
D.90
@bohotness @chosenmatt @KamiBug @answermyquestions
I think the answer is either B or D,

Answers

To evaluate x divided by 80 for x=8/9, we would first need to look at them in the same form. So, x divided by 80 would look like x/80 We would then substitute 8/9 for x, which would give us: (8/9)/80 or 8/9 ÷ 80/1 When fractions are divided by other fractions we can understand them as multiplication problems with the denominator inverted. Which in this case would be: 8/9 * 1/80 From there, we multiply the numerators and denominators. That gives us 8/720. We can then reduce that to: 1/90

The expression x divided by 80 for x = 8/9 is equal to 1/90.

Option D is the correct answer.

We have,

To evaluate x divided by 80 for x = 8/9, we substitute the value of x into the expression and perform the division:

(x) / 80 = (8/9) / 80

To divide fractions, we multiply the numerator by the reciprocal of the denominator:

(8/9) / 80 = (8/9) x (1/80)

Next, we simplify the multiplication:

(8/9) x (1/80) = 8 / (9 x 80) = 8 / 720

Simplifying the fraction further:

8 / 720 = 1 / 90

Therefore,

x divided by 80 for x = 8/9 is equal to 1/90.

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draw and label a parallelogram with a base twice as long as the height and an area less than 60 square inches. find the area

Answers

Answer: 5 cm by 10 cm gives an area of 50 cm^2

To do this draw a parallelogram and start by labeling the base as 10 cm. If 10 cm is the base, then the height needs to be 5 cm.

To find the area, multiply the base times height.

This will give you: 5 x 10 = 50 which is less than 60.

You flip 2 coins.what is the probability that one coin will land on heads and one coin will land on tails?createa sample space of outcomes.

Answers

HH, TT, HT, TH
2/4=1/2=50%
You have two coins. You want one to have tails, and one to have heads. This is a 50% (1/2) chance for either heads or tails on ONE coin. However, if you want the order you are asked, you have a 1/2 chance that one lands on head and one lands of tail. The reason is this:

There is only 4 different ways it would be resulted:
T= Tails
H = heads
H H, T H, H T or T T

Only T H and H T out of the 4 is valid, therefore 1/2 chance.

helppppppppppppppppppppppppp

Answers

A. csc x=-5/2. sin x=1/csc x=-2/5. Since pi<x<3/2pi, this angle is in the third quadrant. cos x must also be negative, we can narrow the answer choices down to A and D. cos x=-\sqrt(1-sin^2 x)=-\sqrt(21)/5. tan x=(-2/5)/(-\sqrt(21)/5)=2/\sqrt(21), so the answer is A.

Examine the system of equations.
−3x + y = 4
−9x + 5y = −1
What is the solution?
( _ , _ )

Answers

the first one would be -3.5 and the second will be -6.5

The value of x is -3.5 and y is 6.5 for the given equations.

What is an equation?

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The equations will be solved as:-

−3x + y = 4

−9x + 5y = −1

Multiply the first equation by 3 and subtract the second equation.

−15x + 5y = 20

9x - 5y = -1

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

-6x =   21

  x = -3.5

Put x = -3.5 into first equation.

(-3x3.5) + y = 4

y = 6.5

Hence, the values are -3.5 and 6.5.

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An expression is shown below:
3x3y + 15xy − 9x2y − 45y

Part A: Rewrite the expression so that the GCF is factored completely. Show the steps of your work. (4 points)

Part B: Rewrite the expression completely factored. Show the steps of your work.

Answers

A]
3x^3y+15xy-9x^2y-45y
=3x^3y+3*5x*y-3*3x^2*y-3*15y
factoring 3y we get:
3y(x^3+5x-3x^2-15)

B]
Factoring the expression we get:
3x^3y+15xy-9x^2y-45y
=3xy(x^2+5)-9y(x^2+5)
=(3xy-9y)(x^2+5)

Long division
3x+1/6x^6+5x^5+2x^4-9x^3+7x^2-10x+2

Answers

[tex](6 x^{6}+5x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2) / (3x+1) [/tex]

We divide first number from first parenthesis with first number from second parenthesis. Then the resulting number we multiply by all numbers in second parenthesis and substract from first parenthesis.

[tex]6 x^{6}/3x = 2 x^{5} \\ \\ 6 x^{6}+5x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2 - 6 x^{6} -2 x^{5} = 3x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2\\ [/tex]

We repeat previous steps until we run out of numbers:
[tex]3x^{5}/3x=x^{4} \\ \\ 3x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2-3x^{5}-x^{4}= \\ \\ x^{4}-9x^{3}+7x^{2}-10x+2 \\ \\ \\ x^{4}/3x= \frac{1}{3} x^{3} \\ \\ x^{4}-9x^{3}+7x^{2}-10x+2-x^{4}- \frac{1}{3} x^{3}= \\ \\ - \frac{28}{3} x^{3}+7x^{2}-10x+2 \\ \\ \\ - \frac{28}{3} x^{3}/3x= - \frac{28}{9} x^{2} \\ \\ - \frac{28}{3} x^{3}+7x^{2}-10x+2+ \frac{28}{3} x^{3}+ \frac{28}{9} x^{2} = \\ \\ \frac{91}{9} x^{2}-10x+2  [/tex]
[tex]\frac{91}{9} x^{2}/3x=\frac{91}{27} x \\ \\ \frac{91}{9} x^{2}-10x+2-\frac{91}{9} x^{2}-\frac{91}{27} x= \\ \\ -\frac{361}{27} x+2 \\ \\ \\ -\frac{361}{27} x/3x=-\frac{361}{81} \\ \\ -\frac{361}{27} x+2+\frac{361}{27}x+\frac{361}{27}= \\ \\ \frac{415}{27}[/tex]

We are left with a number that has no x inside. This is remainder.
The final solution is sum of all these solutions and remainder:
[tex](2 x^{5}+x^{4}+\frac{1}{3} x^{3} - \frac{28}{9} x^{2} +\frac{91}{27} x)+(-\frac{361}{81} )[/tex]

The missing number in the arithmetic sequence 60,51 blank , 33 is

Answers

Subtract 9 from each number to get the next number.
60 - 9 = 51
51 - 9 = 42
42 - 9 = 33

The number is 42.

Hope this helps =)
60-51=9
51-9=42
42-9=33
MISSING NUMBER IS 42

“The sum of 3 consecutive odd numbers is 69.” What is the third number in this sequence?

Answers

22,23,24
The third number would be 24
The 3 consecutive odd numbers i think are 25,27,29
So therefore the third number in his sequence is 29

1.Write and exponent . (-4)(-4)
is it -4^2 i am so bad at this and i cannot wrap my head around it , can someone show me how to do it,

Answers

Yes, it is. Exponent is a notation for the number of times something is multiplied. It is same as multiplication is a notation for the number of times something is added. a+a+a+a+a = 5*a Similarly, a*a*a*a*a = a^5 Hence, -4*-4 = (-4)^2

Joe plotted the points (2, 0.5), (1, 1), and (0.5, 2), and claimed that these points represent an inverse variation relationship. Which statement supports his claim?
xy = 1 for all points.
xy = for all points.
The graph of these points will be linear.
Inverse variation states that as one quantity increases, the other quantity also increases.

Answers

xy = 1 for all points.

 We are going to demonstrate this affirmation:
 (2) * (0.5) = 1
 (1) * (1) = 1
 (0.5) * (2) = 1
 Therefore, the relationship between the ordered pairs is inverse.
 The relationship between the ordered pairs is:
 y = 1 / x

 Answer: 
 xy = 1 for all points.

Answer:

xy = 1 for all points.

Step-by-step explanation:

Please help if your a Expert,Ace, or Genius if you are lower you can type the answer in but I might not take your answer as if it was correct.

Answers

They ones in the box are already right!!!!!!!!!!!

Could anyone assist me here?


The table shows ordered pairs for a polynomial function, f.

x f(x)f(x)
−2−2 30
−1−1 0
0 −2−2
1 0
2 30
3 160
4 510
What is the degree of f?,

Answers

Fourth differences are constant (48), so the function is 4th degree.

_____
f(x) = 2(x^4 -1)

Answer:

The degree of the polynomial function will be 4.

Step-by-step explanation:

The table shows the ordered pairs for a polynomial function, f.

[tex]x[/tex] -2 -1 0 1 2 3 4

[tex]f(x)[/tex] 30 0 -2 0 30 160 510

Now, to get the degree of the polynomial, it is required to get the difference of the value of function. When the value of the function becomes equal, then the number of step or difference will be its degree.

So, the first difference of the function will be,

[tex]0-30=-30\\ -2-0=-2\\0-(-2)=2\\30-0=30\\160-30=130\\510-160=350[/tex]

Now, the second difference of the function will be,

[tex]-2-(-30)=28\\2-(-2)=4\\30-2=28\\130-30=100\\350-120=220[/tex]

Now, the third difference of the function will be,

[tex]4-28=-24\\28-4=24\\100-28=72\\220-100=120[/tex]

Now, the fourth difference of the function will be,

[tex]24-(-24)=48\\72-24=48\\120-72=48[/tex]

So, the fourth difference of the function is equal and hence, the degree of the polynomial function will be 4.

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Can someone help me with this please ?

Answers

First question: B - 500/9

Second question: A - 6

A square lawn has area 512 ft squared .ft. a sprinkler placed at the center of the lawn sprays water in a circular pattern that just covers the lawn. what is the radius of the​ circle?

Answers

The side length of the square is √512 ft = 16√2 ft. Then the radius of the circle is that distance divided by √2, so is 16 feet.

Answer:

Radius of circle = 16 ft

Step-by-step explanation:

Refer figure for the arrangement.

Area of square = 512 ft²

Side of square [tex]=\sqrt{512}=22.63ft[/tex]

From figure see that

      Diagonal of square = Diameter of circle

       [tex]\texttt{Diameter of circle}=\sqrt{22.63^2+22.63^2}=32ft[/tex]

     Radius of circle [tex]=\frac{32}{2}=16ft[/tex]

Which equation is in slope-intercept form and represents a line with slope 3 through the point (9, –4)?
y=3x+21
y=3x-31
-3x+y=-31
-3x+y=21

Answers

The slope-intercept form of a line is:

[tex]y = mx + q[/tex]

Where m is the slope and y is the y-intercept:

[tex]y = 3x + q[/tex]

To find q (y-intercept), substitute the coordinates of the point (9, -4) in the equation of the line and solve it as an equation:

-4=3(9)+q
-4=27+q
q=-27-4=-31

The equation of the line is: y=3x-31

The equation in slope-intercept form representing a line with a slope of 3 and passing through the point (9, -4) is y = 3x - 31. This is found by substituting the point coordinates into the slope-intercept equation and solving for the y-intercept.

The question involves finding an equation in slope-intercept form that represents a line with a given slope that passes through a specific point. Slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept. Given the slope of 3 and the point (9,
–4), we can find the correct equation by substituting into the slope-intercept form and solving for b.

The correct equation must satisfy the condition that when x is 9, y is –4. Let's use this condition to solve for b:
y = mx + b
–4 = 3(9) + b
–4 = 27 + b
b = –4 - 27
b = –31

Therefore, the equation of the line is y = 3x – 31. This is the only equation among the choices that is in slope-intercept form and satisfies the given conditions.

Helpppppp. I’ll give brainlist

Answers

Question 15:
 We find the zero for:
 x = -3
 The quadratic equation of factored form is:
 p (x) = (x + 3) * (x + 3)

 Question 16: 
 We find the zero for:
 x = -2
 x = 3
 The quadratic equation of factored form is:
 p (x) = - (x + 2) * (x-3)
 Question 17:
 We find the zero for:
 x = -2
 x = 0.5
 The quadratic equation of factored form is:
 p (x) = (x + 2) * (2x-1)

Help me with this question please

Answers


We have consecutive odd numbers for the sides of a triangle, perimeter 201.  We could write an equation, but clearly the middle side is 201/3 = 67, so the other two sides are 65 and 69.

This is almost an equilateral triangle, angles around 60 degrees, so not obtuse, meaning one angle over 90 degrees.

Scalene means the sides are all different lengths; we didn't even have to solve the problem to know this is true.

Smallest side 61, false.

Largest side 69, true.

This last one doesn't make much sense to me.  What's a unit here?  Dilation of 1/3 means all the linear measures become 1/3 as big, including the perimeter.  It would decrease much more than 3 inches, since it would go from 201 inches to 67 inches.  If I have to answer I'd go with false.


If you pick a gumball at random, put it back, and then pick another gumball at random, what is the probability of picking a blue gumball then picking a yellow gumball?

Answers

Hi there!

It depends on how many colors of gumballs there are and how many gumballs there are in total. With those, we can set the fraction to each gumball color.

Hope this helps!

Answer:

its 1/50

Step-by-step explanation:

A school spent $900 on new desk for the start of the year. that amount included a 6% sales tax . what was the original price of the desk. before tax

Answers

6% = 0.06

900 * 0.06 = 54

900 - 54 = 846

The original price of the desk before the tax was $846.00.
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