Find the x-intercept of the function: f(x) = 6x - 2. Round answer to the nearest hundredth, if necessary. A) (0.39, 0) B) (1.00, 0) C) (2.58, 0) D) (3.00, 0)
If f(x)=2x+1 and g(x)=x^2-7, find (f+g)(x)
A. x^2=2x-6
B. 2x^2-15
C. x^2+2x+8
D. 2x^3-6
Answer: The correct option is (A) [tex]x^2+2x-6.[/tex]
Step-by-step explanation: We are given the following two functions :
[tex]f(x)=2x+1,\\\\g(x)=x^2-7.[/tex]
We are to find the value of [tex](f+g)(x).[/tex]
We know that
for any two functions p(x) and q(x), we have
[tex](p+q)(x)=p(x)+q(x).[/tex]
Therefore, we get
[tex](f+g)(x)\\\\=f(x)+g(x)\\\\=(2x+1)+(x^2-7)\\\\=2x+1+x^2-7\\\\=x^2+2x-6.[/tex]
Thus, option (A) is CORRECT.
Hal’s sporting Goods had a 1 day sale. The original price of a mountain bike we 325. In a sale it was 276.25. What is the percent decrease for this sale?
Write the equation of the line going through the point (4,6) that is perpendicular to the lie 3x+6y=12
The length of a rectangular field is represented by the expression 14x-3x^2+2yThe width of the field is represented by the expression 5x-7x^2+7y How much greater is the length of the field than the width?
Let A = {the whole numbers} and B = {the integers}. Find A ∩ B.
0
the integers
the whole numbers
the real numbers
The answer is WHOLE NUMBERS.
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
T.A.=
Answer: Total area of the given prism is (104 + 16√13) Square inches.
Step-by-step explanation:
By the given diagram,
In the right triangular prism,
The sides of the base ( right triangle ) are 4 inches and 6 inches,
We have to finds : T.A. ( the total area of the prism )
Thus, the total base area of the prism = 2 × ( Area of triangle having base 4 inches and height 6 inches )
= 2× ( 1/2 × 4 × 6 )
= 4 × 6
= 24 square inches,
Let the hypotenuse of the triangles having sides 4 and 6 is x inches, ( shown in the diagram )
Thus, by the given diagram,
[tex]x^2 =4^2+6^2[/tex]
[tex]x^2 = 16 + 36[/tex]
[tex]x^2 = 52[/tex]
[tex]x=2\sqrt{13}[/tex]
Now, the total lateral area of the prism,
= 8×2√13 + 8×4 + 8×6
= 16√13 + 32 + 48
= (16√13 + 80) square inches,
Since, the total area of the given prism (T.A.) = Total base area of the prism(B.A.) + Total lateral area ( L.A.)
= 24 + 16√13 + 80
= (104 + 16√13) Square inches.
At the school book sale, Michael bought 3 books for $6. Darnell bought 5 books for $10. Are these rates proportional?
Simplify the following expression.
[tex]4a^{-2} b
[/tex]
Answer: C
Step-by-step explanation:
The grid shows a section of the beach in Coast City where each square has sides that are 100 yards long.
On a coordinate plane, the beach front is about 800 yards long. From the south pier to the north pier along harbor drive and park street, the distance is 1200 yards long.
Lisa walked from the South Pier to the North Pier along the beachfront. Deanna walked from the South Pier to the North Pier along Harbor Drive and Park Street. Which statement best describes the distances the two women walked?
a. Lisa walked about 400 yards farther than Deanna.
b. Lisa walked the same distance as Deanna.
c. Lisa walked about 400 yards less than Deanna.
d. Lisa walked about 400 yards.
Britany sends between 10 and 20 text messages per day. Each text message costs $0.80. Suppose Britany's cellular bill spans a period of 8 weeks. Which is a reasonable amount that she would spend on text messages on one cellular bill
A survey was conducted that asked 1011 people how many books they had read in the past year. results indicated that x overbarequals14.8 books and sequals16.6 books. construct a 90% confidence interval for the mean number of books people read. interpret the interval
please help with math? will give branliest!!
2. A wildlife refuge in South America has howler monkeys and spider monkeys. A biologist working there randomly selected eight adults of each type of monkey, weighed them, and recorded their weights in pounds.
howler monkey: {15, 16, 17, 17, 17, 17, 18, 19}
spider monkey: {12, 13, 13, 14, 14, 14, 16, 16}
(a) Calculate the median each type of monkey.
(b) Calculate the mean for each type of monkey.
(c) Calculate the MAD for each type of monkey.
(d) Calculate the means-to-MAD ratio for the two types of monkeys.
(e) What inference can be made about the weight of both types of monkeys? Explain.
Answer:
The median of howler monkey is, 17
And, Median of spider monkey is, 14
The mean for the howler monkeys is 17 and the MAD is 0.8571.
The mean for the spider monkeys is 14 and the MAD is 1.1429.
The means-to-MAD ratio is 2.6249.
This means that on average, the number of mean absolute deviations that separate the means is 2.6. This means they are different.
Find the median of data set as;
For howler monkey;
There are 8 number of howler monkey.
Hence, Median is,
= (8/2 + 1)
= 5 th term
= 17
For spider monkey;
There are 8 number of spider monkey.
Hence, Median is,
= (8/2 + 1)
= 5 th term
= 14
To find the mean of the howler monkeys, add all of the data values and divide by 7:
= (15+16+17+17+17+17+18+19)/7
= 119/7
= 17
To find the MAD, subtract each data point from the mean; take the absolute deviation; then average these together:
= (|15-17|+|16-17|+|17-17|+|17-17|+|17-17|+|17-17|+|18-17|+|19-17|)/7
= (2+1+0+0+0+0+1+2)/7
= 6/7
= 0.8571
And, Repeating these processes for the spider monkeys:
Mean:
(12+13+13+14+14+14+16+16)/7
= 98/7
= 14
And, MAD:
= (|12-14|+|13-14|+|13-14|+|14-14|+|14-14|+|14-14|+|16-14|+|16-14|)/7
=(2+1+1+0+0+0+2+2)/7
= 8/7
= 1.1429
To find the means-to-MAD ratio, find the difference in the means and divide it by the larger MAD:
17-14=3;
Hence, We get;
3/1.1429 = 2.6249
Learn more about the addition visit:
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What Is the Measure of Y
41
49
51
61
Answer:
ITS A.) 41
Step-by-step explanation:
Solve by factoring AKA zero product property method. If the equation has no real solutions, write no real solutions.
3. x^2 − 5 + 4 = 0
4. x^2 + 7 + 12 = 0
(-6-8i) + (-6-i)
study island question please help
( Please help me, the year is ending and I'm almost at a failing grade): ) An athlete is running along a circular path that has a diameter of 250 yards. The arc traveled by the athlete is 120 degrees. Using 3.14 for (symbol that looks like two Ts that are connected), how many yards did the athlete run? Round the answer to the nearest yard.
To find the distance an athlete ran on a circular path with a diameter of 250 yards and an arc length of 120 degrees, calculate the arc length using the radius and angle in radians. The athlete ran approximately 262 yards.
To find the distance the athlete ran around a circular path with a given arc length of 120 degrees and a diameter of 250 yards, first, determine the radius of the circle:
Radius (r) = Diameter / 2 = 250 yards / 2 = 125 yards
Convert 120 degrees to radians: 120 degrees × π / 180 = 2π / 3 radians
Calculate the arc length using the formula: Arc Length = Radius × Angle in radians = 125 yards × 2π / 3 = 250π / 3 ≈ 261.8 yards
Therefore, the athlete ran approximately 262 yards.
What size does the radius of a sphere need to be for its volume to be larger than its surface area? HINT! It is less than 10. HINT! It is NOT a whole number. If you can show me a whole number for a radius where the surface area and volume are equal, then any radius bigger than that will have a larger volume.
To get full points you will need to SHOW me formulas for surface area of a sphere, volume of a sphere, and calculations on how you found your answer.
Question 1 options:
The formula for the surface area of a sphere is 4 x pi x radius^2
The formula for the volume of a sphere is 4/3 x pi x radius^3.
The width of a rectangle is 5 inches less than twice the length. The area of the rectangle is 700 square inches. What is the length of the rectangle?
The graph of which function has a minimum located at (4, –3)?
f(x) = x2 + 4x – 11
f(x) = –2x2 + 16x – 35
f(x) = x2 – 4x + 5
f(x) = 2x2 – 16x + 35
Answer:
f(x) = 1/2x^2 – 4x + 5 (the third option)
Step-by-step explanation:
On ed :)
44 points, please answer this question ASAP!
Answer:
-3
Step-by-step explanation:
mean = sum of terms/number of terms
mean = (-10-23+8+7+3)/5
mean = -15/5
mean = -3
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!! What is the simplified form of the expression (3x^7/2)^6 (x^2)^6
A. x^33
B. 3x^29
C. 729x^29
D 729x^33
4 students ran for class president. In the elction, Mario got 40% of the votes. Jazmyne got 35% of the votes, Arturo got 10%,and Rachel got 60 votes. How many students voted?
Choose the ratio you would use to convert 88 pounds to ounces remember that there are 16 ounces in 1 pound
A. 1 pound/16 ounces
B. 16 ounces/ 1 pound
C. 1 ounce/ 88 pounds
D. 88 ounces/ 1 pound
Answer:
The ratio that we use to convert 88 pound to ounces is:
B. 16 ounces/1 pound
Step-by-step explanation:
There are 16 ounces in 1 pound
i.e. 1 pound=16 ounces
88 pound=88 pound × 16 ounces/1 pound
Hence, the ratio that we used to convert 88 pound to ounces is:
B. 16 ounces/1 pound
put the following equation in slope intercept form: 3x - 2y = 14
Please help me with my question
6x – 2y = 10 2x + 3y = 51 solving the first equation above for y gives:
Use a calculator to find the approximate value of sin-1( 0.655).
Answer:
Radian = 0.7142
Degree = 40.92°
Step-by-step explanation:
Given: [tex]\sin^{-1}(0.655)[/tex]
Let, [tex]y=\sin^{-1}(0.655)[/tex]
It is inverse trigonometry function. We have to use calculator to find angle of trigonometry.
The value of y in two form radian or degree
Using calculator to find the value of y
In radian,
[tex]y=0.7142[/tex]
In degree,
[tex]y=40.92^\circ[/tex]
Hence, The value of [tex]\sin^{-1}(0.655)[/tex] in radian 0.7142 and in degree 40.92°
Calculus question... I need help understanding thanks.
Calculate Гx^3dx
Bernice estimated that 69% of 242 is 168. Is her estimate reasonable?
Answer:
D Yes, because her calculation should be 70% of 240.
Step-by-step explanation:
D
A system of equations consists of two lines. One line passes through (-1, 3) and (0, 1). The other line passes through (1, 4) and (0, 2). Determine of the system has no solution, one solution, or an infinite number of solutions.