The intervals indicated on the graph are:
-7 < x < -3, -3 < x < -1, & 1 < x < 3 are increasing
-1 < x < 1, & 3 < x < 5 are decreasing
5 < x < 7 is neither
When does an Interval of a Function Decrease or Increase?The interval of a function is increasing when the line slopes upward to the right along the interval. This means that the function value would increase as the input values decrease within the given interval.
On the other hand, the interval decreases when the line of the function slopes downwards within the interval. This implies that as the function value decreases, the input values increase within the given interval.
Therefore, from the graph given, we can conclude that:
-7 < x < -3: increasing
-3 < x < -1: increasing
-1 < x < 1: decreasing
1 < x < 3: increasing
3 < x < 5: decreasing
5 < x < 7: neither
Learn more about interval of a function on:
https://brainly.com/question/1503051
Find the indicated arc and angle measures:
с
D
F
DO
B
70960
E
A
arc AB Degree:
arc BC Degrees:
arc ABC Degrees:
arc CDB Degrees:
Answer:
arc AB = 70°
arc BC = 110°
arc ABC = 180°
arc CDB = 250°
Step-by-step explanation:
Since these angles are not inscribed, but are at the center point of the circle, the angles and arcs will be the same measure.
Solve for arc AB:
Angle AFB = 70°, so arc AB = 70°
Solve for arc BC:
Angle AFC is a straight angle so it is 180°. To find angle BFC, subtract angle AFB from 180°.
180 - 70 = 110°
Since angle BFC = 110°, arc BC = 110°
Solve for arc ABC:
Add arc AB and arc BC together.
70° + 110° = 180°
arc ABC = 180°
Solve for arc CDB:
There are 360° in a cirlce. To find arc CDB, subtract arc BC from 360°.
360° - 110° = 250°
arc CDB = 250°
-10 - | 5 -12 | + 3 + | 5 + 12 | =
Answer:
3
Step-by-step explanation:
the absolute value function always returns a positive value , that is
| - a | = | a | = a
given
- 10 - | 5 - 12 | + 3 + | 5 + 12 |
= - 10 - | - 7 | + 3 + | 17 |
= - 10 - 7 + 3 + 17
= 3
simplify the problem below:
u^n*u^n+1
Answer:
[tex]u^{2n+1}[/tex]
Step-by-step explanation:
Assuming you mean [tex]u^nu^{n+1}[/tex], then [tex]u^nu^{n+1}=u^{n+n+1}=u^{2n+1}[/tex].
Answer:
[tex]\Longrightarrow: \boxed{\sf{u^2^n+1}}[/tex]
Step-by-step explanation:
Solution:This equation can be solved simply by multiplying by the variable to isolate them on one side.
[tex]\Longrightarrow: \sf{u^n*u^n+1}[/tex]
[tex]\sf{u^n*u^n=u^2}\\\\\\\sf{= (u^2)^n}[/tex]
Solve.
[tex]\sf{\left(u^2\right)^n=u^{2n}=\boxed{\sf{u^{2n}+1}}[/tex]
Therefore, the final answer is [tex]\boxed{\sf{u^{2n}+1}}[/tex].
help solve this and reward is brainlist.
Answer:
[A] 20%
[B] 400%
Step-by-step explanation:
Part A:
To Find: Percentage
= Price in 1985/price in 2003
Thus,
$62000×100%=6200000÷310000=20%
Part B:
To FInd: Percentage increase
= (Price in 2003-price in 1985)/price in 1985
Thus,
$248000×100=$24800000÷62000=400%
[RevyBreeze]
PLEASE GUYS CAN SOMEONE HELP ME WITH THESE, POINTS TO THE KIND AND SMART PERSON TO ANSWER THESE SORT OF TEDIOUS QUESTIONS HELP ASAP
Step-by-step explanation:
1.
a. true
b. false (the arc angles are relative to the center of the circle)
c. true (as the central angle of a circle is twice any inscribed angle subtended by the same arc)
d. true (but note that the arc angle of YE is again measured via the center of the circle and twice as large as the angle S)
2.
EGS is an isoceles triangle (that means both legs are equally long).
remember the extended Pythagoras for general triangles :
c² = a² + b² - 2ab×cos(C)
c being the side opposite of the angle C.
let's say c is our long baseline, since we have is opposite angle 124°, and a = b = GE = GS, we have
3.8² = a² + a² - 2aa×cos(124) = 2a² - 2a²×cos(124) =
= 2a²(1 - cos(124))
2a² = 3.8²/(1 - cos(124))
a² = 3.8²/(2(1 - cos(124)))
a = GS = sqrt(3.8²/(2(1 - cos(124)))) =
= 2.151883096... ≈ 2.2 cm
3.
circumference
16pi = 2pi×r
r = 8
area = pi×r² = pi×8² = 64pi
yes, the statement is true.
4.
a half-circle has 180°.
the arc angel AD is a full half-circle (because AD is a diameter), so it is 180°.
the angle ACB is the arc angle AB = 40°. so, the arc angle BD must be the rest of the 180° = 180 - 40 = 140°.
5.
diameter = 50 ft.
so, the radius or distance from the center to the circle arc is 50/2 = 25 ft.
the length of a chord is
c = 2×sqrt(r² - d²)
with r being the radius, d being the distance of the chord from the center.
40 = 2×sqrt(25² - d²)
20 = sqrt(625 - d²)
400 = 625 - d²
-225 = -d²
225 = d²
d = 15 cm
so, the distance of the chord from the center is 15 cm.
6.
the arc angles RE and TS are equal. that means the arc lengths of RE and TS are equal.
and that means the arc lengths of RS and ET are equal. the chords between 2 points on a circle must have the same length, when the arc lengths between these 2 points are the same.
7.
they are equally long.
as we saw in 5., the length of a chord depends on the radius of the circle and the distance of the chord from the center.
since both chords are in the same circle (with the same radius), and they both have the same distance from the center, they can only be equally long, as there is no other element to name them different.
8.
the angle NPE is half of the angle NAE (= the arc angle NE).
the arc angle NE = 63×2 = 126°
the angle PET is half of the angle PAT (= the arc angle PT).
the arc angle PT = 19×2 = 38°
the arcs NP and ET cover the rest of the whole circle circumference (360°).
so, arc angle NP + arc angle ET = 360 - 38 - 126 = 196°
but arc angles NP and ET must be equal (as per the problem definition).
therefore, 2 equal arc angles = 196°
1 arc angle = NP = 196/2 = 98°
What values of x make the equation x2 + 9x – 22 = 0 true? Check all that apply. –11 –2 0 2 11What values of x make the equation x2 + 9x – 22 = 0 true? Check all that apply.
–11
–2
0
2
11
Given Equation :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad {x}^{2} + 9x - 22 = 0 \:}}} \\ \\[/tex]
To Find :
The value of x .Solution :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad {x}^{2} + 9x - 22 = 0 \:}}} \\ \\[/tex]
We are to find two numbers such that,
[tex]\\ {\longrightarrow \pmb{\sf {\qquad p + q = 9 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad p \times q = 22 \:}}} \\ \\[/tex]
The two numbers are 2 and 11, so
[tex]\\ {\longrightarrow \pmb{\sf {\qquad {x}^{2} + ( - 2x) + 11x - 22 = 0 \:}}} \\ \\[/tex]
Finding common factors :
[tex]{\longrightarrow \pmb{\sf {\qquad {x} (x - 2) + 11(x - 2) = 0 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (x - 2)(x + 11) = 0 \:}}} \\ \\[/tex]
Whether, the value of x is :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x - 2) = 0 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x = 2 \:}}} \\ \\[/tex]
Or, Whether the value of x is :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x + 11) = 0 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x = - \: 11 \:}}} \\ \\[/tex]
So,
Therefore the value of x is (-11) or 2.Answer:
A) –11
D) 2
Step-by-step explanation:
Got it right on edge!
Work out the gradient of the straight line through (-2, 1) and (1, 10)
Answer:
3
Step-by-step explanation:
help help help help help help help
What is the domain of the relation, and is the relation a function?
{(0, 1), (2, 3), (5, 7)}
Answer:
Step-by-step explanation:
The domain is the set of x-values in the ordered pairs.
So it is {0, 2, 5}
Yes it is a function as for each x value there is 1 y-value (its a one-to-one function)
The owner of a computer store is offering a discount on a computer sold in the store.
Computer Sale!
Original Price: $598.00
25% off original price
8% tax applied after discount
owner offers a payment plan where the total cost of the computer is paid in 6 equal monthly payments.
Determine the amount of each monthly payment.
Show your work or explain your answer. please help me ASAP it is due is 20 mins please help i will mark brainlest for correct answer
Answer:
$ 80.73
Step-by-step explanation:
You can find the complete solution in the given attachment
can someone help me with this?
Answer:
66°
Step-by-step explanation:
mJK = ( 6x - 45 )°
mJH = ( x + 20 )°
mJK = mJH
6x - 45 = x + 20
5x = 65
x = 13
mHK = ( x + 20 )° + ( 6x - 45 )°
mHK = 2 × 33° = 66 °
A car with a mass of 1,500 kg broke down on the side of the road. How much force will be required
for a tow truck to accelerate the car at a rate of 3 m/sec^2
Answer:
the answer is 4,500kgm/s2
Step-by-step explanation:
force= mass × acceleration
[tex]f = 1500 \times 3 \\ = 4500kgm {s}^{ - 2} [/tex]
How are area and volume similar? (will give brainliest for the right answer)
A both take up an amount of space
B both are 2-dimensional
C both have length, width, and height
D both are 3-dimensional
Answer:
the one where it say it takes height
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I got 100%
You can calculate the width of the lake using a surveying technique, as shown in the diagram. Find the width of the lake.
Step-by-step explanation:
Angles XVW and XYZ are congruent, and so are angles VWX and XZY by the alternate interior angles theorem.
This means that triangle VWX is similar to triangle YZX.
So, since corresponding sides of similar triangles are proportional, VW/XY = WX / XZ.
120/8 = 15 = WX / 6.
So the width is 90 m.
Un obrero tiene una escalera de 12 metros. ¿Que ángulo debe formar con el suelo para alcanzar una altura de 8 metros?
Usando el concepto de seno, hay que la escalera debe formar un angulo de 41.8º con el suelo.
¿Qué es el seno de un angulo?El seno de un angulo viene dada por el cambio vertical dividido por el cambio diagonal.
En este problema:
El cambio diagonal es de 12 metros.El cambio vertical es de 8 metros.Por eso:
[tex]\sin{\alpha} = \frac{8}{12}[/tex]
[tex]\alpha = \sin^{-1}{\left(\frac{8}{12}\right)}[/tex]
[tex]\alpha = 41.8^\circ[/tex]
La escalera debe formar un angulo de 41.8º con el suelo.
Puede-se aprender más a cerca de el concepto de seno en https://brainly.com/question/24766917
#SPJ1
this question is too hard
Answer:270
Step-by-step explanation:180/2=90
90*3=270
Hope this helps :)
Answer:
270
Step-by-step explanation:
You can do 180/2 and that gives you 90. Since we know 90:1, we can do 90x3. And that gives 270
Find the perimeter of each figure.
6 cm
2 cm
2 cm
6 cm
Answer:
16
Step-by-step explanation:
no image, but 6 + 2 + 2 + 6 = 16
The outer angle at the top C of the ABC is 112 °. If the bisector of the side AB intersects the side AC at point Q and the segment BQ is perpendicular to AC, find the magnitude of ABC
Answer:
A customer purchased a furniture for Rs. 3390 with 13% VAT . Find the cost of the furniture without VAT?
Step-by-step explanation: How many solutions does the system of equations below have?
y=
–4
9
−
4
5
y=
–4
9
−
4
5
Answer:
3
Step-by-step explanation:
the pizza order changed to a 14-inch pizza from a ten-inch pizza. Approximately how much did the area change after the change in diameter?
a. 4 square inches
b. 24 square inches
c. 25 square inches
d. 96 square inches
B.)
Step-by-step explanation:
area of a 10 inch pizza: A=pi * r^2 = 25 pi
area of a 14 inch pizza : A= 49 pi
the change : 49pi - 25pi = 24 pi or about 75.39822
Given quadrilateral ABCD with vertices A(0, 0), B(3, 4), C(8, 4), and D(5, 0). Complete the statements
below.
Part A: The quadrilateral ABCD is a
A. rectangle
B. rhombus
C. square
D. trapezoid
Part B: The quadrilateral ABCD can be identified as the geometric shape in Part A because
A. all sides are congruent
B. only two sides are parallel
C.
- opposite sides are parallel and congruent
D. the diagonals are congruent
Answer:
Part A:
B. rhombus
Part B:
C. Opposite sides are parallel and congruent
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
The degree of the polynomial is
options 2,3,5,6
The leading coefficient of the polynomial is
options 2,3,5,6
Is there a constant term in the polynomial?
options: yes, no.
This expression can be called a blank
expression.
options: monomial, binomial, trinomial
Answer:
2
5
YES
trinomial
Step-by-step explanation:
Given expression: [tex]5x^2+3x+6[/tex]
The degree of the polynomial is the highest exponent = 2
The leading coefficient, is the coefficient (value) before the [tex]x^2[/tex] = 5
The constant in the polynomial is the value without a variable, i.e. 6 = YES
This expression can be called a trinomial expression since it is a polynomial with exactly three terms.
Expression given:-
5x^2+3x+6So
Degree=2Leading coefficient=5Constant yes(6)Three variables a,b,c hence trinomialThe question is what is the range of the function shown on the graph above?
Answer:
0 ≤ y ≤ 7
Step-by-step explanation:
Hey there! :)
Please see an explanation for better understanding, and let me know if you have any questions!
What is Range?Range in Function means set of all y-values. We know by the graph that y-value is a vertical value while x-value is horizontal value. From the graph, we have y-axis which is vertical line and x-axis which is horizontal line.
For this question, I would like you to focus on y-value instead, at best, only. That is because we are finding the range, as said above that range is the set of all y-values.
StepsTo find the range in graph, first, you must understand that range starts from minimum point/value to maximum point/value. Therefore, we will have to find y-values for both points and combine the interval.
From the graph, we see that there are two points given which are (-6,0) and (9,7). Since (-6,0) is the minimum point because below y = 0, there exists no values. On the other hand, (9,7) is our maximum point because above y = 7, there exists no values.
Focus only y-values, for both points, we have y = 0 and y = 7. Since range is minimum < y < maximum - for opened dots of both points or minimum ≤ y ≤ maximum - for closed dots for both points.
In case if you don’t know what opened dots and closed dots are. Opened dots are white dots while closed dots are colored dots, usually dark ones.
Thus, from the y-values of both point, our range is 0 ≤ y ≤ 7
A bird drops a stick to the ground from a height of 75 ft. The function h= - 16t2 + 75 gives the stick's
approximate height h above the ground, in feet, after t seconds. Graph the function. At about what time does the stick hit the ground?
graph.
The function h(t) = -16t^2 + 75 is a quadratic function, and the stick hits the ground at about 2.165 seconds
How to determine the time it hits the ground?The function is given as:
h(t) = -16t^2 + 75
Next, we plot the graph of the function h(t)
From the graph of the function h(t) (see attachment), we have the following highlight:
t = -2.165 and t = 2.165 when h(t) = 0
Time cannot be negative.
So, we have:
t = 2.165
This means that the stick hits the ground at about 2.165 seconds
Read more about quadratic functions at:
https://brainly.com/question/8649555
Which of the objects below best holds 1 quart? A. gas tank pitcher C. coffee mug D. pool
Jerry has a new job and earns a
salary of $45,000. Victoria has a new
job and earns a salary of $54,000.
Jerry will receive a salary increase of
$2,500 per year, and Victoria will
receive a salary increase of $1,500
per year.
45.0
54.0
45.0
540
Which equation can be used to find x
the number of years it will take
Jerry to earn the same salarv as
Victoria?
I need help on this question
Answer:
Step-by-step explanation:
Estimate
10
12
−
3
8
using benchmark values. Your equation must show the estimate for each fraction and for the solution.
Answer:
The bench mark values might be 10/120 - 30/80
Step-by-step explanation
Why does i^3= -i
I know i is square root -1 but I don't know how i^3= -i
Answer:
i³ = -i
Step-by-step explanation:
i³ can be rewritten as i² · i
i² = -1
-1 · i = -i
Hope this helps!
1. Jakob plays the violin. His bow is 8 decimeters long.
How many meters long is Jakob's bow?
Answer:
0.8 meters
Step-by-step explanation:
1 decimeter is 0.1 meters
so,
[tex]\frac{1}{0.1} = \frac{8}{x}\\x = 8*0.1\\x = 0.8[/tex]