What is true about the domain and range of the function is; The domain is all real numbers, and the range is all real numbers less than or equal to 4.
How to find the domain of a graph function?Let us first find the roots of the function f(x):
0 = (x - 3)(x + 1)
(x - 3) = 0
x = 3
and (x + 1) = 0
x = -1
Therefore, the roots of the function are x = 3 and x = -1.
Now, the vertex is between the roots (x = 1) and has a negative value of y (y = -4), therefore, we can say that the concavity of the parabola is upwards.
This means that the graph is decreasing until it reaches the vertex, then the graph is increasing.
Therefore, we can conclude that the graph is positive and decreasing for all real values of x where x < -1.
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Answer:
The domain is all real numbers, and the range is all real numbers less than or equal to 4.
Step-by-step explanation:
Sasha is playing a game where she tosses a coin, then rolls a die. She wins if she gets heads on the coin and a 5 on the die. What is the probability she wins?
A) `1/3`,`P(H and 5) = P(H) - P(5) = 1/2-1/6=3/6-1/6=2/6` or `1/3`. That makes sense since tossing a coin and rolling a die are independent events.
B) `2/3`,`P(H and 5) = P(H) + P(5) = 1/2+1/6=3/6+1/6=4/6` or `2/3`.That makes sense since tossing a coin and rolling a die are independent events.
C) `1/12`. That makes sense since tossing a coin and rolling a die are independent events. `P(H and 5) = P(H) × P(5) = 1/2 × 1/6=1/12`
D) `12/12` or `1`. That makes sense, because she should win every time she plays.
Answer:
i hope the answer is clear to you
Step-by-step explanation:
i don’t know if I explained well but yeah here are the answers
Hope this helped!
A number is divided in the ratio 3:4. If the first part is 24, find the number.
Answer:
31Step-by-step explanation:
Let the other part be x.Now,24:x=3:43x=96X = 96/3 = 321Other part = 32mark me brainlist!help with this math
Based on the figures given, and the line graph, we can tell that the months with the greatest change in average low temperature were May and July.
Which months saw the greatest changes in temperature?In the month of May, the temperature changed by:
= 60 - 51
= 9°F
In the month of July, the temperature changed by:
= 66 - 62
= 4°F
These two months therefore saw the largest changes in temperature and this is confirmed by the line graph.
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HELP. Question 2(Multiple Choice Worth 4 points)
Solve x³ = 64
27
8
3
O
H
4/3
43
Answer:
x= 4/3
Step-by-step explanation:
Take cube root
There are two drama classesoffered at a middle school. The 8th grade class has 13 fewer students than the 7th grade class. If the total number of students in both classes is 67, how many students are in the 8th grade class?
Answer:
Class 8 has 27 and class 7 has 40
Step-by-step explanation:
8th (r) class has 13 fewer than 7th (x).
x -13 = r
Total for both classes = 67
r + x - 13 = 67
r + x = 80
80 divided by two = 40 (per class)
40 - 13 = 27
Can someone explain me this please
Consider a space shuttle which has a mass of about 1.0 x 105 kg and circles the Earth at an altitude of about 200.0 km. Calculate the force of gravity that the space shuttle experiences
uhm i don't understand wut to put below the formula please make it clear thank you alot
Answer:
The force of gravity experienced by the shuttle would be 1.6675×10^N
SOMEONE HELP ASAP! PLEASE EXPLAIN IN DEPTH!
Find the area. You must show all work to receive credit. (10 points)
Figure ABCDEF is shown. A is located at negative 5, negative 8. B is located at 1, negative 8. C is located at 3, negative 5. D
The area of the figure is 51.4 unit²
The complete questionFigure ABCDEF is shown. A is located at 5, negative 8. B is located at 11, negative 8. C is located at 11, 0. D is located at 6
See attachment for the figure
The area of the figureThe figure can be divided into the following shapes:
Trapezoid 1: Opposite sides = (8 and 5) and height = 5Trapezoid 2: Opposite sides = (5 and 4.8) and height = 2Triangle: Base = 4.8 and height = 4The area of the trapezoid is:
Area = 0.5 * (Sum of opposite sides) * height
So, we have:
Trapezoid 1 = 0.5 * (8 + 5) * 5 = 32.5
Trapezoid 2 = 0.5 * (5 + 4.8) * 2 = 9.8
The area of the triangle is:
Area = 0.5 * Base * Height
This gives
Triangle = 0.5 * 4.8 * 4 = 9.6
Add the individual areas
Area = 32 + 9.8 + 9.6
Evaluate the sum
Area = 51.4
Hence, the area of the figure is 51.4 unit²
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Fabian took a taxi from his house to the airport. The taxi company charged a pick-up fee of $4.80 plus $4 per mile. The total fare was $44.80, not including the tip. How many miles was the taxi ride?
Answer:
Answer = 10 miles
Step-by-step explanation:
First lets make an equation we know that the pick up fee was $4.80 and that Fabian had to pay an extra $4 for every mile. The total amount Fabian paid was $44.80. So the equation would look like this, 4x+4.80=44.80. When we solve for x we find that the taxi ride was 10 miles.
Hope that helps! :)
The taxi ride was 10 miles long. Fabian traveled 10 miles from his house to the airport.
To calculate the distance of Fabian's taxi ride, let's denote the distance in miles as "d." The cost consists of a pick-up fee of $4.80 and a mileage charge of $4 per mile. So, the total cost can be represented as 4.80 + 4d. Given that the total fare was $44.80, we can set up the equation:
4.80 + 4d = 44.80
Now, solving for "d," subtract 4.80 from both sides:
4d = 40
Divide both sides by 4:
d = 10
Therefore, the taxi ride was 10 miles long. Fabian traveled 10 miles from his house to the airport.
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Find the hypotenuse of right angle triangle whose sides are 6.03 units and 7.96 units also find
the relative error?
Answer:
9.99 units
Step-by-step explanation:
since hyp=√b^2+h^2
=6.03^2+7.96^2
36.3609+63.3616
√99.7225
9.9861
i.e 9.99
The hypotenuse is is 9.98 units
What is Pythagoras theorem?
The square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.
Given:
Sides are 6.03 units and 7.96 units
Using Pythagoras theorem,
H²=P²+B²
H²= 7.96²+6.03²
= 63.3616+36.3609
= 99.7225
H=9.98 units.
Hence, the hypotenuse is 9.98 units.
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Find the length of the indicated side of the similar figure.
Answer:
5
Step-by-step explanation:
in similar figures the side lengths must be proportional:
4/8 = x/10 cross multiply fractions
40 = 8x divide both sides by 8
5 = x
The diameter of a semicircle is 8 millimetres. What is the semicircle's radius?
Answer:
The radius is 4.
Step-by-step explanation:
Concepts:
Diameter is usually defined as a straight line passing through the center of a circle or sphere and meeting the circumference or circle at each end.Radius is usually defined as a straight line extending from the center of a circle or sphere to the circumference of surface. (Half of diameter).To figure this out:
R = 1/2 d
R = 1/2 8
R = 4
Markup is 25% of sale price of 86.67
what is the cost
Answer:
$ 69 . 34
Step-by-step explanation:
(1 +.25) x = 86.67
86.67 / 1.25 = x = 69.34
A square vegetable garden has side lengths of 8 feet. You plant flowers in the center portion of the garden, a square that has side lengths of 2 feet. You divide the remaining space into 4 equal sections and plant tomatoes, onions, zucchini, and peppers. What is the area of the zucchini section?
Base on the total area of the square garden and the number of plants planted on it, the area of the zucchini section is 15 feet²
How to find area of zucchini section?Side Length of the square garden = 8 feet
Area of the garden = side length ²
= 8 feet × 8 feet
= 64 feet²
Flower portion:
Side Length = 2 feet
Area of flower portion = side length ²
= 2 feet × 2 feet
= 4 feet²
Remaining space = Area of the garden - Area of flower portion
= 64 feet² - 4 feet²
= 60 feet²
Remaining space is divided into 4 equal sections
= 60 feet² / 4
= 15 feet²
Therefore,
Tomatoes section = 15 feet²
Onions section = 15 feet²
Zucchini section = 15 feet²
Pepper section = 15 feet²
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A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 3 hours, while the outlet pipe can empty it in 10 hours. How long will it take to fill the vat if both pipes are left open?
The time it will take to fill the vat if both pipes are left open is = 4.3 hours
Calculation of time taken to fill vatThe number of pipes a vat has = 2
The time it takes the inlet pipe to fill the vat = 3hrs
The time it takes the outlet pipe to empty the vat= 10hrs
Therefore, the time it will take to fill the vat if both pipes are left open is;
1/t = 1/3-1/10
1/t = 7/30
Make t the subject of formula,
t = 30/7
t= 4.3 hours
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Which ones are variable expenses? (Check all that apply)
1. loans
2. food bill
3. rent
4. electric bill
Answer:
food bill, electric bill
Step-by-step explanation:
Variable expenses change every money
Loan payments are usually fixed, the same every month
food bill - variable expense since you buy different food each month and they will cost different amounts
rent is a fixed expense
the electric bill is different every month because some months you use more electricity than others
Jessica works at a restaurant. She earns $5 an hour and received $100 in tips on Saturday night. If she earned $140 total, how many hours did she work?
$140 total - $100 tips = $40
$40 / $5 per hour = 8 hours
She worked 8 hours
Which expressions below equal a rational number? Choose all that apply. 4/5 + 3/8; sqrt(100) + sqrt(5); 7sqrt(5) - sqrt(245); (4sqrt(7))(2sqrt(7)); pi * sqrt(36)
Answer:
Step-by-step explanation:
Rational number[tex]1) \dfrac{4}{5}+\dfrac{3}{8}\\\\\dfrac{4}{5} \ \text{is a rational number} \ and \ \dfrac{3}{8} \ \text{is a rational number}\\\\\dfrac{4}{5}+\dfrac{3}{8} \ \text{is also a rational number}[/tex]
[tex]b) \sqrt{100}+\sqrt{5} = 10+\sqrt{5}\\\\\sqrt{5} \ \text{is a irrational number}. \\\\ \text{Rational number added to irrational number will result in an irrational number}\\\\10 + \sqrt{5} \ is \ not \ a \ rational \ number.[/tex]
c)
[tex]7\sqrt{5}-\sqrt{245}=7\sqrt{5}-\sqrt{7*7*5}[/tex]
[tex]= 7\sqrt{5}-7\sqrt{5}\\\\=0\\\\\text{\bf $ 7\sqrt{5}-\sqrt{245}$ ia a rational number}[/tex]
d)
[tex](4\sqrt{7})*(2\sqrt{7})=4*2*\sqrt{7*7}\\[/tex]
= 4*2*7
= 56
[tex]4\sqrt{7}*2\sqrt{7} \ \text{\bf is a rational number}[/tex]
In which function is x = 2 mapped to 32?
Answer:
[tex]f(x) = {x}^{5} [/tex]
Step-by-step explanation:
[tex]f(2) = {2}^{5} [/tex]
[tex]f(2) = 32[/tex]
Here is the graph:PLEASE HELP ASAP!!!
Answer:
11- B
moving left 90 degrees from a
because clockwise is the right direction in a circle and counterclockwise is the left direction in a circle
12- C
moving 180 degrees left from a
13- B
moving 270 degrees right from a
14- d
moving 270 degrees left from a
hope this helps! message me if you have any further questions :)
if f(x)= 2x+1 and g(x)=x^2-2, what is (fig)(x)
Mitosis is a process of cell reproduction in which one cell divides into two identical cells. A bacterium called E. coli often causes serious food poisoning. It can reproduce itself in 15 min.
a) Starting with one bacterium, make a table with time in
1/4-h blocks and the corresponding number of E. coli
bacteria up to 2 h of bacteria growth.
b) About how long will it take before there are 10 000 bacteria?
Answer:
I'm just a kid
Step-by-step explanation:
plssss give me brainkest
7. A man leaves ⅓of his property to his son, two fifths to his wife and the remainder to his daughter. If the daughter received sh. 24,000, what was the total amount left?
Answer:
sh 90,000
Step-by-step explanation:
let x be the total amount left , then
x = [tex]\frac{1}{3}[/tex] x + [tex]\frac{2}{5}[/tex] x + 24,000
multiply through by 15 ( the LCM of 3 and 5 ) to clear the fractions
15x = 5x + 6x + 360,000
15x = 11x + 360,000 ( subtract 11x from both sides )
4x = 360,000 ( divide both sides by 4 )
x = 90,000
the total amount left was sh 90,000
What is the greatest common factor of 20 and 10?
Answer:
Step-by-step explanation:
The factors common to 20 and 10 are 1, 5 and 10. The largest of these is 10. That's the GCF of 20 and 10.
An interior angle of a regular polygon has a measure of 108°. What type of polygon is it?
pentagon
hexagon
octagon
nonagon
Answer:It is a 5 sided polygon known as pentagon.
Step-by-step explanation:
In which scenario can you reverse the dependent and independent variables while keeping the interpretation of the slope meaningful?
A.
As the amount of snowfall increases, the number of shovels sold increases.
B.
As number of hours spent watching TV increases, the amount spent on electricity increases.
C.
As the radius of a circle increases, circumference of the circle increases.
D.
As foot size increases, sock size increases.
Answer:
C. As the radius of a circle increases, circumference of the circle increases.
Without calculating the cubes find 1 cube+2cube+2(4) cube+(-5)cube+(-6)cube .
9. Graph the solution to the inequality x - 4y < -12?
Answer:
See below ~
Step-by-step explanation:
Finding the x-intercept :
x - 4(0) < -12x < -12x-intercept = (-12, 0)Finding the y-intercept :
0 - 4y < -12y > 3y-intercept = (0, 3)Take the two points and graph the inequality.
2. √2x-5-√x+6=0(solving the following radical equations and check for extraneous solutions)
I assume the equation is
√(2x - 5) - √(x + 6) = 0
Note the domains for the root expressions:
• √(2x - 5) : 2x - 5 ≥ 0 ⇒ x ≥ 5/2
• √(x + 6) : x + 6 ≥ 0 ⇒ x ≥ -6
So any valid solution we find must be at least 5/2.
Move one term to the other side.
√(2x - 5) = √(x + 6)
Take squares.
(√(2x - 5))² = (√(x + 6))²
2x - 5 = x + 6
Solve for x :
x = 11
Math work math rr rrr
Answer:
The correct answer is infinite. The equation is always true.
Which number line shows the solution to the inequality 3x + 3 ≥ 12?
Answer:
3x+3 ≥ 12
3x ≥ 9
x ≥ 3
So A is correct
Let me know if this helps or if you have any other questions!