The missing number in the arithmetic sequence 60,51 blank , 33 is
If f(x) = x2 + 1 and g(x) =x-4, which value is equivalent to (f•g)(10)
Answer:
(f•g)(10)= 606
Step-by-step explanation:
We have been given that
[tex]f(x)=x^2+1\\\\g(x)=x-4[/tex]
We have to find the value of (f•g)(10)
We can write (f•g)(10) = f(10)•g(10)
Let us find the value of the functions at x = 10
[tex]f(10)=10^2+1\\\\f(10)=100+1\\\\f(10)=101[/tex]
And the value of g(10) is
[tex]g(10)=10-4\\\\g(10)=6[/tex]
Hence,
(f•g)(10)
= f(10)•g(10)
= 101×6
= 606
Therefore, (f•g)(10)= 606
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,
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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Can someone help me with this please ?
How many solutions exist for 3x^2 +4x + 2 = 0
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.
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Convert this identity to one using sine term(s) only.
1-2cos(r)^2
Examine the system of equations.
−3x + y = 4
−9x + 5y = −1
What is the solution?
( _ , _ )
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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Long division
3x+1/6x^6+5x^5+2x^4-9x^3+7x^2-10x+2
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
In a diagram of a landscape plan, the scale is 1 cm = 10 ft. in the diagram, the trees are 4.3 cm apart. How far apart should the actual trees be planted?
43 ft
430 ft
1.3 ft
0.43 ft
A bag contains 4 green marbles and 5 white marbles. Suppose a marble is randomly selected. What are the odds in favor of picking a white marble ?
A. 4 to 5
B. 4 to 9
C. 5 to 4
D. 5 to 9
The odds in favor of picking a white marble from a bag of 4 green and 5 white marbles are 5 to 4.
To find the odds in favor of picking a white marble from a bag that contains 4 green marbles and 5 white marbles, first understand that 'odds in favor' are defined as the ratio of the number of ways the desired outcome can occur to the number of ways the desired outcome cannot occur. In this scenario, the desired outcome is drawing a white marble, and there are 5 white marbles. The number of ways the desired outcome can not occur is the number of non-white marbles, which is 4 green ones. Therefore, the odds in favor of drawing a white marble are 5 white marbles to 4 non-white marbles, or 5 to 4.
PLEASE HELP!!! i have no idea what i’m doing!!! your help would be GREATLY appreciated!!!
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.
If triangle DEF is translated 5 units down, what will be the coordinates of point E ′ in the image?
Answer: The correct option is
(B) (4, -2).
Step-by-step explanation: Given that the triangle DEF is translated units down.
We are to find the co-ordinates of point E' in the image.
From the graph, we note that
the co-ordinates of the vertices of triangle DEF are D(1, 2), E(4, 3) and F(3, 1).
We know that
if a point (x, y) is translated 5 units down, then its co-ordinates becomes
(x, y) → (x, y-5).
Therefore, after translation, the co-ordinates of the vertex E' in the image are
E(4, 3) → E'(4, 3-5) = E'(4, -2).
Thus, (B) is the correct option.
Answer:
(4 ,-2)
Step-by-step explanation:
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,
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?,
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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Help me with this question please
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?
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]
guys this Question is about system of equation word problem
please assist me !
Find the coordinates of the midpoint of the segment whose endpoints are H(5, 13) and K(7, 5). (12, 18)
[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]
Joanie ran in 6 races last month. Each race was 360 feet long. What was the total distance that Joanie ran in the races?
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 :
Answer:
all of them are true
20 Points! Please Help!
The point (−3, 1) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of θ? Make sure to show all work.
Please explain everything!
To solve this problem yo need to have the "x", the "y", and the radius. To find the radius since it is not given we use the formula.
sq rt(-3^2+1^2)
sq rt(9+1)
sq rt(10) would be the length of the radius in this case.
Then we use the sine cosine and tangent fractions
sin:y/r
cos:x/r
tan:y/x
With the values plugged in the equations are
SIN:1/sqrt(10) Since there can´t be a sq rt in hte denominator we change it to 1(sq rt(10))/10
COS:-3/sqrt(10) Since there can´t be a sq rt in the denominator we change it to -3(sq rt(10))/10
TAN:1/-3 This one can stay the same.
This would be the measures of SIN, COS, and TAN.
Answer:
Sin
Tan
Csc
Cot
Step-by-step explanation:
I just did it on edg
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.
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
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
“The sum of 3 consecutive odd numbers is 69.” What is the third number in this sequence?
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
The answer is D. i just took the test!
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.
Answer:
xy = 1 for all points.
Step-by-step explanation:
Helpppppp. I’ll give brainlist