Answers
Answer:
Step-by-step explanation:
1). For a point (0, -15),
Here x = 0, so the piece of function that applies,
f(x) = 4x - 15 (Since, x = 0 lies in the range -2 ≤ x < 4)
= 4(0) - 15
= -15
True.
2). Since, f(x) = [tex]-\frac{1}{4}x^{2}+6x+36[/tex] for x < -2
= 4x - 15 for -2 ≤ x < 4
Which shows a gap between these graphs.
Therefore, graph has a discontinuity at x = -2
True.
3). For x > 4,
f(x) = [tex]3^{x-4}[/tex]
For every input value of x in the interval (4, ∞), output values of the function will be increasing.
So this option is TRUE.
4). In the interval (-12, -2),
Function to be followed → f(x) = [tex]-\frac{1}{4}x^{2}+6x+36[/tex]
Graph of the given quadratic function opens downwards (Since, coefficient of x² is negative).
In this graph value of function first increases then decreases.
So the answer is FALSE.
5). Since, input values of the function 'f' varies from (-∞, ∞)
Therefore, domain of the function will be (-∞, ∞)
TRUE.
Answer:
-True
-True
-True
-False
-False
Step-by-step explanation:
Just took the test and got the same question, i answered the same as the guy above and it is wrong, this is the correct answer.
Make sure your questions are listed in the same order before submitting your answer.
Related Questions
D=
R=
Function?
Find the domain and range of each relation. Then, determine if the relation is a function.
Answers
Answer:
Step-by-step explanation:
D = { - 4 , 0 , 2 , 7 }
R = { - 8 , - 1 , 3 }
Yes the relation is a function.
People with a brain in Health I need you
Why does my knee and hip keep popping out of its place as it hurts in the weirdest way i don't know if i should go to the hospital or not
and if I play basketball and football and track and volleyball it will pop out randomly but not soccer it is so weird and i donno whatta do
A Knee sleeve doesn't even work why? ughhhh I am bouta lose it
i will go to the gym and it will literally make me collapse....
Answers
Answer:
That ain't normal
Step-by-step explanation:
find the difference. (12m + 1) - (5m - 4)
Answers
Answer:
7m + 5
Step-by-step explanation:
1) Simplify.
(12m + 1) - 1 (5m - 4) -> (12m + 1) - 5m + 4
2) Eliminate unnecessary parenthesis.
(12m + 1) - 5m + 4 -> 12m + 1 - 5m + 4.
3) Combine like terms.
12m - 5m = 7m, 4 + 1 =5 -> 7m + 5
The solution is 7m + 5
What is the point slope form of a line that has a slope of 3 and passes through point (1, 4)?
Answers
Answer:
3x - y = -1
Step-by-step explanation:
y - y₁ = m(x - x₁)
substitute (1,4) in for (x₁, y₁) respectively and the slope of 3 in for m
y -4 = 3(x - 1)
distribute 3 to (x - 1)
y - 4 = 3x -3
isolate 3x by itself by adding 3 to both sides
y - 1 = 3x
subtract y from each side
-1 = 3x - y
and just flip around the equation to make it look nicer
3x - y = -1
Prasitha has two buildings A and B. A is 10 feet shorter than the twice the height of B. The distance between the buildings is 120 feet and the height of B is 60 feet. Find the distance between their tops.
Answers
Answer:
The distance between their tops is 130 feet
Step-by-step explanation:
The given parameters are;
The height of A, [tex]h_A[/tex] = 2 × The height of B - 10
The distance between the two buildings, d = 120 feet
The height of B, [tex]h_B[/tex] = 60 feet
Therefore, we have;
The height of A, [tex]h_A[/tex] = 2 × The height of B - 10 = 2 × 60 - 10 = 110 feet
The height of A, [tex]h_A[/tex] = 110 feet
By Pythagoras theorem, the distance between their tops = √(([tex]h_A[/tex] - [tex]h_B[/tex])² + d²)
Substituting the values gives;
The distance between their tops = √((110 - 60)² + 120²) = 130
The distance between their tops = 130 feet.
Find the y-intercept of the line on the graph.
Enter the correct answer
Answers
Solve each system by graphing or using a table. Check your answers.
- 2x + y = 2
- x + 2y = -2
Use the graphing tool to graph the system.
Click to
enlarge
graph
What is the solution to the system of equations? Select the correct choice below and, if necessary, fill in the
answer box to complete your choice.
O A. The solution is
(Type an ordered pair.)
B. There are infinitely many solutions.
OC. There is no solution.
Answers
Answer: no solution
___________ is the measure of the value of a section of the stock market and is computed from the price of selected stocks.
Answers
Answer:
stock index
Step-by-step explanation:
Answer:
stock index is the measure of the value of a section of the stock market and is computed from the price of selected stocks. (Please mark me brainliest)
Step-by-step explanation:
A small town has two local high schools. High School A currently has 850 students and is projected to grow by 35 students each year. High School B currently has 700 students and is projected to grow by 60 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine after how many years, t,t, the number of students in both high schools would be the same.
Answers
An equation for each situation, in terms of t, is y = 850e^35t and
y = 700e^70t
The required equation will be in the form y = Ae^kt
where:
k is the growth constantA represents the number of students in High School A in t years.B represents the number of students in High School B after t years.If High School A currently has 850 students and is projected to grow by 35 students each year, hence;
A = 850k = 35 (growth factor)Substituting into the formula, we will have:
y = 850e^35t
If High School B currently has 700 students and is projected to grow by 60 students each year, hence;
A = 700k = 60 (growth factor)Substituting into the formula, we will have:
y = 700e^70t
An equation for each situation, in terms of t, is y = 850e^35t and
y = 700e^70t
Learn more on exponential function here: https://brainly.com/question/12940982
if the cost of 8 mobile set is rs 40,000.how many mobile sets can be purchased for Rs 100,000
Answers
Answer:
20 mobile sets.
Step-by-step explanation:
Every mobile set costs:
40000 / 8
= 5000 Rs.
Therefore, for 100,000 Rs, the number of mobile sets that can be purchased is:
100,000 / 5000
= 20 mobile sets.
Hope this helped!
Computer salespeople at a local store earn a $100 commission per computer for the first 5 computers they sell each month. For every additional computer they sell during that month, the commission per computer is 1.5 times the rate for the first five. Which of the following is the total commission earned by a salesperson who sells 8 computers in a month?
A. $190
B. $800
C. $950
D. $1,050
E. $1,200
Answers
Answer:
C
Step-by-step explanation:
500+450=950
Answer correctly please !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!
Answers
m HGJ = (2x + 36)
Find m FGH
X = 14
7x16 112
2x16 32+36 68
68+112= 180
The answer is x = 16
Give brainest pls
Select all that apply.
Which of the following are true?
Fractions and ratlos cannot have zero in the denominator.
Fractions and ratios can be simplified the same way.
Fractions and ratlos are different names for the same thing.
Some fractions and ratlos can be written as mixed numbers.
Answers
Answer:
A and D are the correct answers
Answer:
First, second and fourth are correct;
The third might be correct since fractions and ratios can often represent the same information in different ways and in some cases even in the same way, but this may not always be true.
Multiple Choice An equation of the line
whose slope is – 6 and whose y-intercept is 9
is ? ?
A y = -9x – 6 ( B y = 9x – 6
c) y = -6x - 9 D y = 6x - 9
E y = -6x + 9
Answers
Answer: answer is E
Step-by-step explanation: because it slope is -6(x) and intercept is (+)9
need help on 5 & 6 please !!!
Answers
Step-by-step explanation:
Q5. Let the cost of 28subscriptions be $s.
Words: 1subscription/28subscription = $21/$28
Numbers: 1/28 = 21/s
Cross multiply and solve: 1 x s = 21 x 28
s = 588
Answer with label: $588
Q6.
Words: 2inches/3.6inches = 2.5hours/bhours
Numbers: 2/3.6 = 2.5/b
Cross multiply and solve:
2 x b = 2.5 x 3.6
2b = 9
b = 4.5
Answer with label: 4.5hours
1. Multiply using distributive property.
(4x - 2)(x-3)
2. Multiply using the FOIL method.
(x - 5)(3x + 2)
Please explain it in an easy way.
Answers
Answer:
The distributive property tells us how to solve expressions in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division.
Step-by-step explanation:
Answer:
2. [tex]3x^2-13x-10[/tex]
Step-by-step explanation:
Expand (x−5)(3x+2) using the FOIL Method.
Step 2: Apply the distributive property.
[tex]x(3x+2)-5(3x+2)[/tex]
Step 3: Apply the distributive property.
[tex]x(3x)+x(2)-5(3x+2)[/tex]
Step 4: Apply the distributive property.
[tex]x(3x)+x(2)-5(3x)-5(2)[/tex]
Simplify and combine like terms.
Step 5: Simplify each term.
[tex]3x^2+2x-15x-10[/tex]
Step 6: Subtract 15x from 2x.
[tex]3x^2-13x-10[/tex]
Graph the system of inequalities . Which two quadrants does the solution lie in?
someone help a brotha out
Answers
Answer:
Quads 1 and 2
Step-by-step explanation:
Option A or quadrants 1 and 2 is the correct answer:)
will give brainliest
I don't understand algebra 2!!! at all idk why
break it down please help
Answers
Answer:
1/5... 1 on top 5 on bottom
Step-by-step explanation:
sub in the values:
[tex]\frac{5+y}{6x}[/tex] will now be [tex]\frac{5+7}{6(10)}[/tex]
now add:
[tex]\frac{12}{60}[/tex]
simplify:
1/5
Kiran's family is having people over to watch a football game. They plan to serve sparkling water and pretzels. They are preparing 12 ounces of sparkling water and 3 ounces of pretzels per person. Including Kiran's family, there will be 10 people at the gathering.
A bottle of sparkling water contains 22 ounces and costs $1.50. A package of pretzels contains 16 ounces and costs $2.99. Let LaTeX: nn represent number of people watching the football game, LaTeX: ss represent the ounces of sparkling water, LaTeX: pp represent the ounces of pretzels, and LaTeX: bb represent Kiran's budget in dollars. Which equation best represents Kiran's budget?
Answers
1)
Which number is NOT in the solution set of x + 8 > 15?
A)
6
B)
8
C)
10
D)
12
Answers
Answer:
A) 6
Step-by-step explanation:
x + 8 > 15
x > 15 - 8
x > 7
8, 10, and 12 are all greater than 7. 6 is NOT
Answer: is A because 6+8=14 when the rest of the choices are bigger then 15
Can anyone help me with this plzz?
Answers
===========================================================
Explanation:
Check out figure 1 in the attached images below. In this figure, I've plotted the function y = 6/(2x-3) on a 2D grid system. The function curve is in blue. Then I've plotted (2,0) and (3,0) on the x axis. Point A is somewhere between those endpoints. Point A is also on the x axis. Directly above A is point B such that B is on the blue function curve.
The distance from A to B is found by subtracting the y values of each point.
The y coordinate of A is y = 0. The y coordinate of B is y = 6/(2x-3)
Therefore, the distance from A to B is 6/(2x-3) units. This will form the radius of each cylindrical slice as figure 2 shows. Note the color coding to help see how the 2D view corresponds to the 3D view. The xy plane has been laid flat on the floor. So we're viewing the function curve at a downward angle now. Each of those gray cylinders combine to form an approximate 3D volume. The more cylinders we have, and the finer the cuts, the more accurate the total volume.
So it comes down to finding the volume of each cylindrical slice and adding up the volumes. This is effectively what integral calculus is all about.
------------------------------------
Since the radius of each cylinder is y = 6/(2x-3), this means r = 6/(2x-3) is plugged into the formula
V = pi*r^2*h
which is the volume of a cylinder formula
The height of each cylinder is delta x, which we'll use dx for short. So this is where the dx comes from in integrals.
This is what the integral will look like
[tex]\displaystyle V = \int_{2}^{3} \pi*\left(\frac{6}{2x-3}\right)^2dx[/tex]
which turns into
[tex]\displaystyle V = 36\pi\int_{2}^{3}\frac{1}{(2x-3)^2}dx[/tex]
after a bit of algebra. We're able to factor the 36pi out because it's a constant
From here we use u-substitution. Let u = 2x-3
This leads to du/dx = 2 which can be solved to dx = du/2
Since u = 2x-3, the lower endpoint x = 2 leads to
u = 2x-3 = 2*2-3 = 1
and x = 3 leads to
u = 2x-3 = 2*3-3 = 3
So the interval 2 < x < 3 turns into 1 < u < 3
After using u-sub, making the proper replacements, and integrating, we get
[tex]\displaystyle V = 36\pi\int_{2}^{3}\frac{1}{(2x-3)^2}dx\\\\\\\displaystyle V = 36\pi\int_{1}^{3}\frac{1}{u^2}\frac{du}{2}\\\\\\\displaystyle V = 36\pi*\frac{1}{2}\int_{1}^{3}\frac{1}{u^2}du\\\\\\\displaystyle V = 18\pi\int_{1}^{3}u^{-2}du\\\\\\\displaystyle V = 18\pi\left[-u^{-1}+C\right]_{1}^{3}\\\\\\\displaystyle V = 18\pi\left[-\frac{1}{u}+C\right]_{1}^{3}\\\\\\[/tex]
Let's evaluate that to get the following
[tex]\displaystyle V = 18\pi\left[-\frac{1}{u}+C\right]_{1}^{3}\\\\\\\displaystyle V = 18\pi\left[\left(-\frac{1}{3}+C\right)-\left(-\frac{1}{1}+C\right)\right]\\\\\\\displaystyle V = 18\pi\left(-\frac{1}{3}+1\right)\\\\\\\displaystyle V = 18\pi\left(\frac{2}{3}\right)\\\\\\\displaystyle V = 12\pi\\\\\\[/tex]
So the 3D volume formed by rotating that region (under the curve from x = 2 to x = 3) is exactly 12pi cubic units
What's 6+2x^2 in factored form?
Answers
Answer:
2 ( x^2 + 3 )
Step-by-step explanation:
A health insurance policy requires that each
person covered pay the first $300 of a bill and
then 0.2 times the rest of the bill. Fran is
covered by this policy and had to pay $500.
What was her total bill?
Answers
What is the solution to the equation represented by the model below?
3 x tiles and 8 positive 1 tiles = 4 x tiles and 6 positive 1 tiles
x = negative 14
x = negative 2
x = 2
x = 14.
Answers
Answer:
Therefore, the correct option is;
x = 2
Step-by-step explanation:
Let x represent the number of tiles, and let 1 represent the positive 1 tiles
Let the and operator represent addition we have;
3 × x + 8 × 1 = 4 × x + 6 × 1
We simplify as follows;
3·x + 8 = 4·x + 6
We move and place like terms together as follows;
4·x - 3·x = 8 - 6
From which we have;
x = 2
Therefore, the correct option is x = 2
Step-by-step explanation:
Edge 2021
verified
PLEASE HELP I NEED THIS TODAY!!
Answers
Answer: 201.06
Step-by-step explanation: The formula is pi times the radius squared.
I NEED HELP PLEAZE i hate math i hate math i hate math.
Answers
Answer:
B. 9
Step-by-step explanation:
3^4/3^2
lets expand it
3 * 3 * 3 * 3/ 3 * 3
just get rid the 3's needed to get rid of the denominator which is 2, so get rid of 2 threes from the top
3 * 3 = 9
And it's okay, I dislike math too. Hope you feel better.
Answer:
b
Step-by-step explanation:
HELP ME PLZZ I NEED HELP WITH THIS AND MAKE SURE YOU EXPLAIN!!!!!!!!!!!!!!!!
Answers
Answer:
C. 7/9 and 0.7 (with bar notation)
Step-by-step explanation:
The division keeps going with the remainder as 7 and 9 can only go into 70 with a 63 so to show the 7 keeps going you would have to use bar notation above 7.
what is the speed of a jet plane that travels 528 m in four seconds
Answers
Answer: 132 m/s
Step-by-step explanation:
Also known as "fast"
Answer: 132m/s
Step-by-step explanation:
Use the formula: speed = distance/time
Plug in your numbers: speed = 528/4
Solve: speed = 132m/s
If using the method of completing the square to solve the quadratic equation x squared -20x+24=0, which number would have to be added to “complete the square”
Answers
Oksuru k diyaf ramincok ani kasilm asiyla olusan bir refle kstir.
y=3/8x−4 Write the equation in standard form.
Answers
Answer:
Step-by-step explanation:3x-8y=32