Answer:
Step-by-step explanation:
2 10
0 8
4 12
State the domain, the range, and the intervals on which function is increasing, decreasing, or constant in interval notation
Answer:
Domain: [tex][-1,\infty)[/tex]
Range: [tex](-\infty, 3][/tex]
Decreases over: [tex](-1,-\infty)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = -\sqrt{x + 1} + 3[/tex] --- Missing from the question
Solving (a): The domain
To get the domain, the expression under the square root must not be negative.
In other words:
[tex]x + 1 \ge 0[/tex]
Solve for x
[tex]x + 1 -1\ge 0-1[/tex]
[tex]x \ge -1[/tex]
Hence, the domain is:
[tex][-1,\infty)[/tex]
To get the range, we plot the values of the domain in the expression.
[tex]x = -1[/tex]
[tex]f(x) = -\sqrt{x + 1} + 3[/tex]
[tex]f(-1) = -\sqrt{-1+1} +3[/tex]
[tex]f(-1) = -\sqrt{0} +3[/tex]
[tex]f(-1) = -0 +3[/tex]
[tex]f(-1) = 3[/tex]
[tex]x = \infty[/tex]
[tex]f(\infty) = -\sqrt{\infty +1}+3[/tex]
[tex]f(\infty) = -\sqrt{\infty}+3[/tex]
[tex]f(\infty) = -\infty+3[/tex]
[tex]f(\infty) = -\infty[/tex]
So, the range is: [tex](-\infty, 3][/tex]
To get the interval where the function increases or not, we simply plot the graph of f(x).
See attachment for graph.
From the attachment, it will be observed that the graph of f(x) continuously decreases from x = -1, and it never increased.
This implies that, the graph decreases over the interval [tex](-1,-\infty)[/tex]
Can you help me on this?
Answer:
Out of curiosity, what is making this problem difficult?
Step-by-step explanation:
initially there are 20 rabbits, so the '?' is asking for that
Q.8) In ΔABC, angle B = 90°, angle A = 60°, angle C = 30°, AC = 17 then AB is.... *
Answer: AB = 150 degrees
Step-by-step explanation: 90 + 60 = 150
The radius of a cylindrical gift box is (3x+1) inches. The height of the gift box is twice the radius. What is the surface area of the cylinder? Write your answer as a polynomial in standard form.
Answer:
56πx² + 36πx + 6π square inches
Step-by-step explanation:
The radius of a cylindrical gift box is (3x+1) inches. The height of the gift box is twice the radius. What is the surface area of the cylinder? Write your answer as a polynomial in standard form.
The surface area of a cylinder is given as:
2πr(r + h)
The radius of a cylindrical gift box is (3x+1) inches.
The height of the gift box is twice the radius = 2(3x + 1) inches
= 6x + 2 inches
The surface area of the cylinder is:
= 2 × π × 3x + 1( 3x + 1 + 6x + 2) square inches
= 2 × π × 3x + 1(9x + 3) square inches
= 2π × 3x + 1(9x + 3) square inches
= 6πx + 2π( 9x + 3) square inches
= 6πx (9x + 3) + 2π( 9x + 3) square inches
= 56πx² + 18πx + 18πx + 6π square inches
= 56πx² + 36πx + 6π square inches
The surface area of the cylinder is 56πx² + 36πx + 6π square inches
In AEFG, the measure of ZG=90°, FG = 2.3 feet, and EF = 8.9 feet. Find the measure
of ZF to the nearest degree.
Answer:
75
Step-by-step explanation:
2. Each of the bracelets that Veronica made has 45 beeds. Shemede 4 bracelets.
How many total beads did she use?
Answer:
180 total beads used
Step-by-step explanation:
=) have a good day
help me pls !!!!!!!!!!
Answer:
the answer is B
Step-by-step explanation:
I need to answer this please
which of the following statement is incorrect
[tex]14 < \sqrt{37 < 6} [/tex]
[tex]5 < \sqrt{37 < 6} [/tex]
[tex]9 < \sqrt{90 < 10} [/tex]
[tex]1 < \sqrt{2 < 2} [/tex]
Answer:
The answer is ■■■■■■■■■■■□□□ NOWLOADING
Step-by-step explanation:
Hope this helps <3
Answer:
The answer is ■■■■■■■■■■■□□□ NOWLOADING
Step-by-step explanation:
Refresh a couple of times <33
Two fair coins are being used in a probability experiment. During each trial of the experiment, the
coins are flipped and the outcomes are recorded with H representing heads and T representing tails.
There are four possible outcomes: HH. HT. TH, and TT. What is the probability, on each trial of the
experiment, that the outcome is one head and one tail, in any order?
25%
33%
50%
75%
Answer: 50%
Step-by-step explanation:
If we can get a head tails combo in any order we could get a head/tails or a tails/head so there is a 50% probability of getting that combo in a trial
James ran 4 laps and walked 2 laps When running his average speed was 2.5 minutes per lap When walking his average speed was 4.9 minutes per lap How long did it take James to complete 6 laps? 7.4 minutes 9.9 minutes 14.8 minutes Or 19.8 minutes
Answer:
19.8 minutes
Step-by-step explanation:
Total time the 4 laps was completed = 4 x 2.5 = 10 minutes
Total time the 2 laps was completed = 2 x 4.9 = 9.8 minutes
total time = 10 minutes + 9.8 minutes = 19.8 minutes
Please help me!! Thanks in advance!
Answer:
1) 12m
2)15.2ft
3) 22km
4) 10ft
5) 4.4in
6) 12km
7) 10cm
8) 2cm
9) 56.55cm
10) 43.98ft
11) 71.63km
12) 23.88cm
13) 138.23yards
14) 100.53ft
15) 50.27yd²
16) 95.03in²
17) 52.81ft²
18) 153.94mi²
19) 162.86mi²
20)452.39ft²
Step-by-step explanation:
Step-by-step explanation:
To find the diameter of a circle, you multiply the radius (the radius is the distance from the outside of the circle to the middle) by 2.
Ex: the first one has 6m as the radius. So you would multiply the 6 by 2. Which would be 12.
The radius is half of the diameter. So for number 8, the answer would be 2.
hope this helps and that it wasn't to confusing :)
please help, giving points and brainlest !!
Answer:
14.9 dollars
Step-by-step explanation:
1. There are 30 students and if everyone pay the same, it will be 14.9 dollar. Because the total is 447 dolar and if everyone pay equally, then everyone have the same amount. So, 447 dollar divided to 30 student equal 14.9 per student.
2. The essential information is the total cost of money and the amount of student.
3. 30m = 447
/30 /30
m= 14.9 dollar
4. 14.9*30 = 447
Please like if I got it right.
A city has 3 new houses for every 8 old houses. If there are 27 new houses in the city, how many old houses are there?
Answer:
72 old houses
Step-by-step explanation:
can someone please help I need it right now!!
Answer:
y=9x
Step-by-step explanation:
First let's find the slope of this.
To find the slop we can take two points.
(1,9) & (3,27)
27-9/ 3-1 (slope equation) = 18/2=9
The slope of the equation is 9.
Now let's use point-slope form to find the equation.
(1,9)
y-9=m(x-1) (substitute the x2 and y2 values for the coordinate values)
y-9=9(x-1) (substitute m for the slope)
y=9x-9+9
y=9x
Which expression is equivalent to (5^2) ^4 • 5^5
A) 5^11
B) 5^13 C)5^30
D) 5^40
Answer:
B
Step-by-step explanation:
(5^2) ^4 • 5^5 = 1220703125
5^13 = 1220703125
Math help please answer question a and b ( show work please)
Answer:
a) 24 degrees
b) 50 degrees
Step-by-step explanation:
part a : use sine-1
sine-1 = [tex]\frac{opposite}{hypotenuse}[/tex]
sine-1 = [tex]\frac{17}{42}[/tex]
sine-1 = 0.405
missing angle = 23.89
round to the nearest degree = 23.89 = 24
part b : use cosine-1
cos-1 = [tex]\frac{adjacent}{hypotenuse}[/tex]
cos-1 = [tex]\frac{16}{25}[/tex]
cos-1 = 0.64
missing angle = 50.208
round to the nearest degree = 50.208 = 50
5
If x = 4, what is the value of x(14 - x)?
OA
40
OB
44
16
Math
Answer:
when x=4
the value of x(14 - x)=4(14-4)=4×10=40
Find the value of x. 120
Answer:
x = 25
Step-by-step explanation:
2x + 70 = 120 {Subtract 70 from both sides}
2x = 120 -70
2x = 50 {divide both sides by 2}
x = 50/2
x = 25
If each quadrilateral below is a trapezoid, find the missing measures.
#1
Answer:
C = 101
E = 46
Step-by-step explanation:
79 + 134 = 213
180 - 79 = 101 (C+F has to equal 180)
79 + 134 + 101 = 314
360 - 314 = 49 (trapezoids have a total degree of 360)
The measure of angles are ∠C = 101°, ∠E = 46°, ∠J = 83°, ∠L =97°, and ∠M = 97°.
It is given in the picture that measures the angles of a trapezoid.
It is required to find the other angles.
What is a trapezoid?It is defined as the quadrilateral having four sides in which two sides are parallel to each other it is a 2-dimensional geometry.
We have a trapezoid CDEF in which ∠D = 134° and ∠CFE = 79°
We know in trapezoid:
∠C+∠F = 180° and
∠D+∠E = 180°
For ∠C = 180° - ∠F ⇒ 180° - 79° ⇒ 101°
For ∠E = 180° - ∠E ⇒ 180° - 134° ⇒46°
We have another trapezoid JKLM in which ∠K = 83°
We know in isosceles trpezoid:
∠K = ∠J = 83° and
∠L = ∠M
∠L = 180° - ∠K ⇒ 180° - 83° ⇒ 97° ⇒ ∠M
Thus, the measure of angles are ∠C = 101°, ∠E = 46°, ∠J = 83°, ∠L =97°, and ∠M = 97°.
Learn more about the trapezoid here:
https://brainly.com/question/8643562
A parallelogram has an area of 108 in.² the best of the parallelogram is 18 inches find the height.
Answer:
h= 6 in
Step-by-step explanation:
A= bh
A= 108
b= 18
108= 18h
108/18=6
If a, b and care nonzero real numbers, which expression is equivalent to a (b - c) - b(a - c)?
ac - bc
-ac + bc
2ab - ac- bc
2ab - ac + bc
Help. Do not take advantage of the points, please.
Answer:
?
Step-by-step explanation:
Answer:
Umm what's the question
Write a number or expression in each empty box to create true equations. 7(3+5)= ____+____ What is the smaller value of the two numbers
Answer:7(3+5)= 21+35
Step-by-step explanation:
find y for -4 + 3y = 8 please help asap
Answer:
y = 4
Step-by-step explanation:
First isolate y
-4 + 3y = 8
3y = 8 + 4
3y = 12
y = 4
Answer:
Y=4
Step-by-step explanation:
3y=12
y=4
BE CAREFUL
If someone ever tell y'all to click that link they are lying to you, you will be hcked
Pass the message
Answer:
Yes links are not good
Step-by-step explanation:
I really need help Please
Answer:
43
Step-by-step explanation:
180 - (109+28) = 43
the sum of all angles in a triangle is 180
The office lunchroom is open Monday through Thursday. On Monday, 314 people ate lunch there. On Tuesday and Wednesday, 265 people ate lunch in the lunchroom. All 520 employees ate lunch there on Thursday. How many more people ate in the lunchroom on Thursday than on Monday?
Answer:
There were 206 more people on Thursday than on Monday.
Step-by-step explanation:
520 - 314 = 206
hepl me what is the answer to this math question
Answer:
c
Step-by-step explanation:
Find the value of x.
Answer:
x= 128*
Step-by-step explanation:
180*-52*=128*
Answer:
x = 128
Step-by-step explanation:
well we know that for a polygon, the interior angles always add up to 360.
One angle is 52, and since the other two have squares it means that they are a perfect 90 degree angle. add those up to get 232, and then subtract 232 from 180 to get 128