Answer:
4, 5, 6
Step-by-step explanation:
Represent the first number by x. Then the next two consecutive integers are x + 1 and x = 2.
THEN x + x + 1 + x + 2 = 15, WHICH REDUCES TO 3x + 3 = 15.
Then 3x = 12, and x = 4.
The consecutive integers are 4, 5 and 6.
The graph of f(x) = ax^2 opens upward and is narrower than the graph of g(x) = x^2 . Which of the following could be the value of a?
A. -0.5
B. 6
C. 0.25
D. -2
Answer:
Option C.
Step-by-step explanation:
The given functions are
[tex]f(x)=ax^2[/tex]
[tex]g(x)=x^2[/tex]
It is given that the graph of [tex]f(x)=ax^2[/tex] opens upward and is narrower than the graph of [tex]g(x)=x^2[/tex].
Graph of [tex]f(x)=ax^2[/tex] opens upward, it means coefficient of [tex]x^2[/tex] must be positive.
Graph of [tex]f(x)=ax^2[/tex] is narrower than the graph of [tex]g(x)=x^2[/tex], it means coefficient of [tex]x^2[/tex] must lies between 0 to 1, i.e., [tex]0<|a|<1[/tex].
From the given options, only 0.25 is a positive number whose absolute value lies in between 0 to 1.
Therefore, the correct option is C.
Following are the solution to the graph function:
Given:
Graph function:
[tex]\to f(x)=ax^2\\\\\to g(x)=x^2\\\\[/tex]
Solution:
It is assumed that its graph of [tex]f(x)=ax^2[/tex] is narrower more expands upwards than the graph of [tex]g(x)=x^2[/tex].The graph of [tex]f(x)= ax^2[/tex] expands upward, suggesting that the [tex]g(x)=x^2[/tex] coefficient must be positive.Since the graph of [tex]f(x)=ax^2[/tex] is thinner than that of the graph of [tex]g(x)=x^2[/tex], it implies that the coefficient of [tex]x^2[/tex] has to be between 0 to 1, i.e. [tex]0<|a| <1.[/tex] .Only 0.25 is a positive number with just an absolute value between 0 and 1 among the available alternatives.Therefore, the final answer is "Option C".
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2 Points
The table shows the number of weeks of vacation employees receive each
year, based on the number of years they have been employed. What does
(15) = 5 mean in terms of the problem?
Years of
Service
Weeks of
Vacation
1
2.
1
2
5
10
15
20
30
3
4
5
6
8
O A. There are 5 workers who have 15 years of service each
OB. A worker took 5 weeks of vacation in 15 years.
O C. A worker with 15 years of service gets 5 weeks of vacation each
year
OD. A worker with 5 years of service gets 15 weeks of vacation each
year
SUBMIT
The answer to your question is 3
Cinco amigos pidieron una pizza personal
extra grande cada uno. A continuación se
muestra la fracción de pizza que se comió
cada uno.
3
8
1
7
8
3
4
2
Encuentra la mediana de las fracciones
de pizza que se comieron.
Answer:
3/4
Step-by-step explanation:
PLEASE HELP Three subtracted from x is less than 20
Answer:
x < 23 (x is less than 23)
Step-by-step explanation:
x - 3 < 20
x < 20 + 3
x < 23 (x is less than 23)
Which equation can be used to solve for c? sin(50o) = StartFraction 3 Over c EndFraction sin(50o) = StartFraction c Over 3 EndFraction cos(50o) = StartFraction c Over 3 EndFraction cos(50o) = StartFraction 3 Over c EndFraction
Right triangle ABC is shown.
Triangle A B C is shown. Angle A C B is a right angle and angle C B A is 50 degrees. The length of A C is 3 meters, the length of C B is a, and the length of hypotenuse A B is c.
Answer: The correct answer is option 1;
Sin 50° = StartFraction 3 Over c EndFraction
That is, Sin 50° = 3/c
Step-by-step explanation: Please refer to the picture attached for further details.
The right triangle ABC is given and the angle ACB is identified as the 90 degree angle (the right angle). Also the angle CBA is given as 50° and the side marked as AC is given as 3 units. Then, the other two sides are given as CB which is marked a and AB which is marked c.
The resulting right angled triangle as shown in the attached picture now has the hypotenuse as c. The opposite is 3 since its the side facing the reference angle, and the adjacent is a since its the side that lies between the reference angle and the right angle.
Using the reference angle which is given as 50, side c can now be solved using the trigonometric ratio as follows;
Sin 50 = opposite / hypotenuse
Sin 50 = 3/c
Answer:
answer is sin(50*) = 3/c
Step-by-step explanation:
The ratio of the number of A's in the class to B's in the class was 2:5. How many people got A's if there were 40 people who got B's?
Answer:
16 students got an A
Step-by-step explanation:
Set up an equation to compare the ratio to the scores:
[tex]\frac{2}{5} = \frac{x}{40}[/tex]
Cross multiply:
80 = 5x
Divide each side by 5:
x = 16
Now, check if [tex]\frac{16}{40} = \frac{2}{5}[/tex]
16/8 = 2
40/8 = 5
The ratios are the same! Therefore, 16 students got an A!
Hope this helps! Feel free to contact me if you have any questions :)
[tex]Total- no- of- students = 56\\A -students = Total- no- of- students - B-students\\A - students = 56 - 40\\A students = 16[/tex]Answer:
A Students = 16 students
Step-by-step explanation:
[tex]A :B\\2 :5\\ No- of -A -students =?\\No- of -B -students = 40\\2+5 =7\\\frac{5}{7} *x = 40\\\frac{5x}{7} =40\\Cross - multiply\\280 = 5x\\Divide-both-sides-of-the-equation -by 5\\\\\frac{280}{5} = \frac{5x}{5} \\x = 56[/tex]
What is 3lna+lnb−lnc written as a single logarithm?
Answer: here's the answer
The range of which function includes -4?
y= Vx-5
Y=Vx+5
Y= NX + 5
Y= NX+5
[tex]option \: a \: is \: the \: right \: answer \\ y = \sqrt{x} - 5 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
The range of function y=√x+5 is -4.
What is Domain and Range?A function's range refers to all of the potential values for y.
The formula for determining a function's range is y = f (x). If every x value corresponds to only one y value, the relation is only a function.
As, we know that the Domain is the input values and Range is the output values.
Now, we have range is -4.
First, -4 = √x - 5
-4 + 5 = √x
√x = 1
x = ±1
Second, -4 = √x+ 5
-4 -5 = √x
√x = -9
x = 81
Third, -4 = √(x + 5)
16 = x+ 5
x = 11
Fourth, -4 = √(x -5)
16 = x - 5
x = 21
So, the range of function y=√x+5 is -4.
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URGENT HELLPPP!!!
WILL GIVE BRAINLIEST IF WANTED AND 50 POINTS
The diagram shows a trapezium ABCD.
The co-ordinates of the four vertices are shown.
The coordinates of the trapezium are: Point A 3, 5; Point B 10, 5; Point C 12, 1; Point D is 1, 1.
Work out the area of the trapezium.
Answer:
the area is 36
Step-by-step explanation:
Answer:
[tex]36[/tex] units
Step-by-step explanation:
[tex](a+b)\frac{1}{2} h[/tex]
[tex](7+11)\frac{1}{2} (4)[/tex]
[tex]\frac{18}{2}(4)=36[/tex]
Can I get some help with this question?
Answer:
$250
Step-by-step explanation:
200/80=2.50
2.50*100=250
Answer:
$250.
Step-by-step explanation:
By proportion the cost should be 200 * 100/80
= 200*5/4
= 50 * 5
= $250.
Which ordered pair is a solution of this
equation?
9x - y = -7
Click on the correct answer.
(-2,-2)
(2,2)
(-2,-1)
(-1,-2)
Answer:
(-1,-2)
Step-by-step explanation:
I graphed the equation on the graph below so you can see that (-1,-2) is a solution.
∠AED is a straight angle. Prove: m∠AEB = 45° A horizontal line has points A, E, D. 2 lines extend from point E. One line extends to point B and another extends to point C. Angle C E D is a right angle. Complete the paragraph proof. We are given that Ray E B bisects ∠AEC. From the diagram, ∠CED is a right angle, which measures degrees. Since the measure of a straight angle is 180°, the measure of angle must also be 90° by the . A bisector cuts the angle measure in half. m∠AEB is 45°.
Answer:
Proved
Step-by-step explanation:
Given:
∠AED is a straight angle. Angle CED is a right angle. Ray EB bisects ∠AEC.To Prove: m∠AEB = 45°
From the diagram, ∠CED is a right angle, which measures 90 degrees.
Since the measure of a straight angle is 180°, the measure of Angle AEC must also be 90° by the Linear Postulate.
A bisector cuts the angle measure in half.
Therefore m∠AEB = 45°.
Answer:
answer below.
Step-by-step explanation:
Can somebody explain to me of how squared 28 equaled 2 squared to 7 please? With step by step explanation If you don’t mind
please see the attached picture for full solution
hope it helps
good luck on your assignment
HELP! WILL GIVE BRAINLIEST TO BEST ANSWER!!! BE VERY DETAILED PLEASE <3 Examine your selected object and the construction you made from 1.08. Which transformations (translations, reflections, or rotations) are present in the constructions?
Answer:
It's Rotated I believe
Step-by-step explanation:
please help! 10 points! its quite easy but im lazy What is the value of x in the equation 4(2x + 14) = 0? (1 point)
Answer:
[tex]x=-7[/tex]
Step-by-step explanation:
[tex]4(2x + 14) = 0[/tex]
[tex]8x+56 = 0[/tex]
[tex]8x=-56[/tex]
[tex]x=-56 \div 8[/tex]
[tex]x=-7[/tex]
Answer:4(2x+14)=0
8x+56=0
8x=-56
x=-7
Solve |x+2|=10
A {-8,8}
B {-12,8}
C {-12,12}
A survey was held to find the time taken by students to reach school from their homes. Each student was asked to choose from 10, 20, 30, 40, or 50 minutes. What is the mode for the data set?
A. 30 min.
B. 10 min.
C. 20 min.
D. 40 min.
only thoughts answer's if u give a bad one no brainly
Answer:
there is no mode
Step-by-step explanation:
because there is no doubles
The required, mode of the given data set is not defined. None of the options are correct.
What is the mode?In statistics, the mode is the value that appears most frequently in a data set. It is the most common observation or measurement in the data set. The mode is one of the measures of central tendency, along with the mean and median.
The mode is the value that appears most frequently in a data set. Since the given data set only has values of 10, 20, 30, 40, and 50, we can simply count which value appears most frequently. From the given options, the is no mode in the data, since it appears no value in the data set appears twice in the data set.
Therefore, None of the options are correct.
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what is the area of this triangle
Answer:
Probably b or e
Step-by-step explanation:
this took me a while to answer this.
Which type of line is shown below
Type of lines ? Not the best question.
Answer: Perpendicular, first choice
The little 90 degree angle indicator at the intersection marks these lines as meeting at a right angle, which is called perpendicular.
Write the standard equation of the circle with center (-1, 2) and radius 7.
a
b
(x + 1)2 + (y-2) - 7
(x - 2)2+(y+1) - 49
(x+1)+(y-2) - 49
(x-1) + (y+2) = 49
Answer:
(X+1)^2+(y-2)^2=49
Step-by-step explanation:
Standard Equation of a circle: [tex](x-h)^{2} +(y-v)^{2}[/tex]=[tex]r^{2}[/tex]
Center: (-1,2)
Radius: 7
Equation would be: [tex](x+1)^2+(y-2)^2=49[/tex]
How many solutions does the equation 3x-10(x+2)=13-7x
Answer:
No solution
Step-by-step explanation:
1. Multiply the parenthesis by -10
2. Collect like terms
3. Cancel equal terms
4. You're left with -20=13, which is false. There is no solution.
Question 4
4.53
60
500
729
8000
randomly selecting two grape juice boxes without replacement
Step-by-step explanation:
1/2 on the first round, then 1 on the second. When you have 2 juice boxes on the first round, there is a 50/50 (reduce to 1/2) chance that you will get one or the other. But after one is chosen, there is one left, because there is no replacement, and it is guarantied that the one will be picked. 100/100 or 1.
Answer:
I am answering to this question: There are 15 cherry, 17 grape, and 14 orange juice boxes in the cooler. Find the probability of randomly selecting two grape juice boxes without replacement.
Step-by-step explanation:
136/1035
plz mark brainliest if this is the question.
b) y and z are whole numbers.
y < 70
Z<60
Work out the largest possible value of y + z
Suppose that f(5) = 1, f '(5) = 4, g(5) = −8, and g'(5) = 7. Find the following values.
Sara is moving into a new apartment. The Resort complex charges a $600 security
deposit and costs $950 a month for rent. The Uptown Suites Duplex charges a $300
security deposit and costs $1100 a month for rent. After how many months would the
apartments cost the same amount? Which apartment would you recommend Sara move
to if she plans on staying for 6 months? Please show work.
Answer:
The rent is the same when 2 months have passed.
If she'd live in them for 6 months, I'd recommend the resort complex, since it'd be cheaper.
Step-by-step explanation:
Sara has two options, the resort complex and the uptown suites duplex, which can be represented by functions where "c" is the cost and "t" is the number of months Sara lives on each apartment.
The Resort complex:
[tex]c_{resort}(t) = 600 + 950*t[/tex]
The Uptown Suites Duplex:
[tex]c_{uptown}(t) = 300 + 1100*t[/tex]
To find the number of months she has to live in them in a way that they have the same cost, we need to find the value of t that makes both equations equal, this is done below:
[tex]600 + 950*t = 300 + 1100*t\\1100t - 950t = 600 - 300\\150t = 300\\t = \frac{300}{150} = 2\\[/tex]
The rent is the same when 2 months have passed.
If she intends to live in them for 6 months, the cost of each are:
[tex]c_{resort}(t) = 600 + 950*6 = 6300[/tex]
[tex]c_{uptown}(t) = 300 + 1100*6 = 6900[/tex]
If she'd live in them for 6 months, I'd recommend the resort complex, since it'd be cheaper.
Use intercepts to graph the equation 2x + 7y= -14.
im too lazy to answer my sister questions (its easy but I got something else to do) do all multiplication all way to 12
Answer:
All of the multiplications are in the image attached
Step-by-step explanation:
please mark me brainliest :)
Please mark me brainliest and I hope this helps ( I spent a lot of time on this...)!
I wrote this all out on a google doc so no, I did not copy it from the internet:
help sleepyhelp asap
Answer:
The one that has the number of meals in the side and the one that has number of days
Step-by-step explanation:
If it’s 3 meals a day u would want the one that says meals and days now if u look at the chart u can see that this one has 3 meals for one day which is the same as the equation she has
Hope this helps
Tara's car travels about 25 miles on one gallon of gas. She has between 10 and 12 gallons of
gas in the tank. Identify the independent and dependent quantity in the situation. Find
reasonable domain and range values.
A. number of gallons of gas; distance traveled; 10 to 12 gallons; 100 to 120 miles
B. number of gallons of gas; distance traveled; 10 to 12 gallons; 250 to 300 miles
C. distance traveled; number of gallons of gas; 10 to 12 gallons; 250 to 300 miles
D. distance traveled; number of gallons of gas; 250 to 300 miles; 10 to 12 gallons
Answer:
B
Step-by-step explanation:
The independent value is the number of gallons of gas and the dependent value is the distance traveled, because the distance traveled is affected by how much gas is in the tank.
It is also 250 to 300, because 10 and 12 (numbers of how many gallons of gas are in the tank) multiplied by 25 (miles traveled on one can of gas) equals 250 and 300.
The distance traveled; the number of gallons of gas; 250 to 300 miles; 10 to 12 gallons. Then the correct option is D.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Tara's car travels about 25 miles on one gallon of gas. She has between 10 and 12 gallons of gas in the tank.
The distance traveled in 10 gallons of gas will be
⇒ 25 x 10
⇒ 250 miles
The distance traveled in 12 gallons of gas will be
⇒ 25 x 12
⇒ 300 miles
The distance traveled; the number of gallons of gas; 250 to 300 miles; 10 to 12 gallons. Then the correct option is D.
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