1) sqrt x^+6x+9 if x≥3
2) sqrt x^2+6x+9 if −3≤x<3
3) sqrt x^2−6x+9 if x<−3
will give brainliest
Answer:
Step-by-step explanation:
first one:
[tex]x^{2}+6x+9={(x+3)}^{2} \\\sqrt{{(x+3)}^{2} }=x+3[/tex]
second one:
[tex]x^{2}+6x+9=(x+3)^{2} \\\sqrt{(x+3)^{2} } = x+3[/tex]
third one:
[tex]x^{2} -6x+9=(x-3)^{2} \\\sqrt{(x-3)^{2} } =|x-3| \ \ (because \ x<-3)[/tex]
A point a is graphed at (0,5). Complete the coordinates of a shape that can be rotated around the y axis to create a cylinder provide an explanation for your answer to receive full credit.
Answer:
The coordinates of the shape (rectangle), that can be rotated around the y axis to create a cylinder are;
A = (0, 5)
B = (2, 5)
C = (2, 0)
D = (0, 0)
Step-by-step explanation:
A shape that can be rotated around the y axis to create a cylinder is a rectangle ABCD
Given that the rectangle is to be rotated about the y-axis to form a cylinder, the vertical sides of the rectangle are to be parallel to the y-axis such that the x coordinates at the top and bottom will be equal in the opposite vertical segments as follows;
The complete coordinates of the rectangle, ABCD that can be rotated around the y axis to create a cylinder are therefore presented as follows
A = (0, 5)
B = (2, 5)
C = (2, 0)
D = (0, 0).
3^x+x³=17
solve for x
Answer:
Hello!
~~~~~~~~~~~~~~~
3^x+x³=17
= x = 2
Step-by-step explanation: Graph each side of the equation. The solution is the x - value of the point of intersection.
Hope this helped you! Brainliest would be nice! ❤︎
Given O O below, the arcs GĦ and JK must be congruent.
G
#
A. True
70"
B. False
125
K
SUBM
Answer:
False.
Step-by-step explanation:
Just look at them. They aren't even similar.
A circle is a curve sketched out by a point moving in a plane. The given statement "Given circle O below, the arcs GH and JK must be congruent." is false.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.
For the given two arcs in the circle, the given statement "Given circle O below, the arcs GH and JK must be congruent." is false. This is because the measure of the central angle of the both arcs is not equal. Therefore, it can be concluded that the length of the two arcs is not equal.
Hence, the given statement is false.
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How many different "words" can be made from the given words by re-arranging the letters? DIGIT KINDNESS MATHEMATICIAN
Kindness- skinned, sinned, kissed, skeins, skies, sides, kind, kinds, end 86 words
Digit- dig, it 8
Mathematician- titanic, intact, manic, cat, math, … 346
Answer:
digit: 60
kindness: 10080
mathematician: 129729600
Step-by-step explanation:
sorry if this isn't right, and sorry I don't have an explanation but this worked for me.
Use multiples to write two fractions equivalent to 9/10 - 12/13, 36/40 18/20, 10/11 8/9 * 27/30 18/20, 27/30
Answer:
27/30 18/20
Step-by-step explanation:
From the figure, if y = 400 then find the value of x .
Answer:
70°Solution,
y=40°
now,
[tex]2x + y = 180( \: sum \: of \: angle \: in \: straight \: line) \\ or \: 2x + 40 = 180 \\ or \: 2x = 180 - 40 \\ or \: 2x = 140 \\ or \: x = \frac{140}{2} \\ x = 70 \: degree[/tex]
Hope this helps...
Good luck on your assignment...
Which graph is defined by f(x)=x^2+5|x|+6
Answer: C
Step-by-step explanation:
You are given a graph which is defined by f(x)=x^2+5|x|+6
Where the intercept of the graph is 6
Since the equation of the graph has a modulus 5|x|. Which can be span to the negative x component and positive x component, the root of the quadratic function will both be at negative x component and positive x component.
Which are 2 and 3 or -2 and -3
Option C is therefore the best graph for the answer to the question.
If f(x) = -15x + 3, then f^-1(x) =
Answer:
f^-1(x) is - (x -3)/15
Step-by-step explanation:
f(x) = -15x + 3
To find f^-1(x) equate f(x) to y
That's
y = f(x)
Which is
y = -15x + 3
Next interchange the terms x becomes y and y becomes x
That's
x = - 15y + 3
Make y the subject
We have
-15y = x - 3
Divide both sides by - 15
We get
y = x-3/-15
y = - x - 3/15
Therefore f^-1(x) is - (x -3)/15
Hope this helps you
What property do rectangles and parallelograms always share? 4 right angles 4 sides of equal length 2 pairs of parallel sides 2 acute angles (1 answer choice)
Answer:
A property that rectangles and parallelograms always share is that they both have two pairs of parallel sides.
Step-by-step explanation:
A rectangle is a shape that has two pairs of parallel sides and has 4 right angles.
A parallelogram is a shape that has two pairs of parallel sides and has 2 pairs of congruent sides.
The only thing these shapes have in common is that they both have two pairs of parallel sides.
Answer:
C: 2 pairs of parallel side
Step-by-step explanation:
I got it correct in a quiz I did that had this question.
What is the slope of the line that contains the point (-2, 7) and (2, 3)? A. -1 B. -4 C. 1 D. 4
Answer:
A. -1
Step-by-step explanation:
Slope = (y2 - y1) / (X2 - X1)
= (3 - 7) / (2 +2)
= - 4/ 4
= - 1
Hope this helps.. Good Luck!
Answer:
The slope is -1.
Step-by-step explanation:
Plug it into the formula.
solve this systems of linear equations.separate the x- and y-values with a comma 18x+7y=-89 9x-9y=18
Answer:
Step-by-step explanation:
18x+7y=-89 equation1
9x-9y=18 equation2
multiplying equation 2 by 2
2(9x-9y=18) 18x-18y=36 equation 3
subtacting equation 1 and 3
18x-18x+7y+18y=-89-36
25y=125
y=5
putting the values of y in equation1
18x+7(5)=-89
18x+35=-89
18x=-89-35
18x=-124
x=-6.8
A student can get paid $12 per hour to run a three-hour economics tutoring session, or he can take a five-hour shift helping at his mom’s store that pays $15 per hour. What is the opportunity cost of working at the store? $12 $75 $36 $45 $60
Answer: C. $36
Step-by-step explanation:
Opportunity cost refers to the best economic alternative so in this case, it would be referring to the student tutoring for three hours. $12x3=$36
Use the interactive to graph the line with a y-intercept of –2 and slope of –1/3.
What is the x-intercept of the line?
–6
–3
3
6
Answer:
-6
Step-by-step explanation:
How many gallons each of 15% alcohol and 5% alcohol should be mixed to obtain 10 gal of 14% alcohol?
How many gallons of 15% alcohol should be in the mixture? _____ gal
Answer:
Step-by-step explanation:
each gallon 15% alcohol
and 5% alcohol
*is this question correct?
Answer:
Step-by-step explanation:
Let x = Gallons of 15% alcohol
y = gallons of 5% alcohol
x + y = 10 gallons
y = 10 - x
15% of x + 5% of y = 14% of 10 gallons
0.15x + 0.05y = 0.14 * 10
0.15x + 0.05 * ( 10 - x) = 1.4
0.15x + 0.05*10 - x * 0.05 = 1.4
0.15x + 0.5 - 0.05x = 1.4
Add like terms
0.10x + 0.5 = 1.4
Subtract 0.5 from both sides
0.10x = 1.4 - 0.5
0.10x = 0.9
Divide both sides by 0.10
x = 0.9/0.1
x = 9
x = 9 gallons
y = 1 gallons
Which statement is the most appropriate comparison of the spreads?
Answer:
D The IQR for town A is less than the IQR for town B
Step-by-step explanation:
A small IQR indicates that the points are closer together, while a larger IQR means that the points are scattered and that the plot is skewed in a certain direction. As you can see, town A's plot looks fairly balanced, while town B's plot is skewing to the left. Hope this helps :)
PLS ANSWER NOW i'm desperate
Answer:
1.6 < x < 9.6
Step-by-step explanation:
The smallest the third side can be is greater than the difference of the other two sides
x > 5.6 -4
x > 1.6
The largest the third side can be is less than the sum of the other two sides
x < 5.6 +4
x < 9.6
1.6 < x < 9.6
Pleas help!!!!
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questions
Online Content: Site 1
Explain what is meant by domain and range.
Answer:
Domain are the values of x-coordinates
Range are the values of y-coordinates
Step-by-step explanation:
In the set of ordered pairs {(-2, 0), (0, 6), (2, 12), (4, 18)}, the domain is the set of the first number in every pair (those are the x-coordinates): {-2, 0, 2, 4}. The range is the set of the second number of all the pairs (those are the y-coordinates): {0, 6, 12, 18}.
{(-2, 0), (0, 6), (2, 12), (4, 18)}
Domain: {-2, 0, 2, 4}.
Range: {0, 6, 12, 18}
Answer:
Domain- set of x-values
Range- set of y-values
Step-by-step explanation:
Domain
The domain of a function is the complete set of possible values of the independent variable. The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
When finding the domain:
The denominator (bottom) of a fraction cannot be zero The number under a square root sign must be positive in this section
Range
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. The range is the resulting y-values we get after substituting all the possible x-values.
How to find the range
The range of a function is the spread of possible y-values (minimum y-value to maximum y-value) Substitute different x-values into the expression for y to see what is happening. Make sure you look for minimum and maximum values of y. Draw a sketch!which solution can be used to fill in both blanks in the table
Answer:
(5, 2)
Step-by-step explanation:
As 8x = 40
x = 40÷8
x = 5
This is the first solution
Then 4x + 4y = 28
We know that x = 5 as above
So let's substitute it:
4x + 4y = 28
(4 × 5) + 4y = 28
20 + 4y = 28
Let's get the 20 to other side
20 - 20 + 4y = 28 - 20
4y = 8
y = 8 ÷ 4
y = 2
Hence we get these two solutions
(5,2)
:-)
Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term. 50, 100, 150, 200, .
Answer:
50n
Step-by-step explanation:
This problem can be solved using concept of Arithmetic progression(AP)
In AP series
the series increases or decreases by certain number which is called common difference.
common difference d is given by
d= nth term - (n-1)th term
nth term = a + (n-1)d
where a is the first term of the series
thus series can be a , a+d, a+2d, a+3d, a+4d, ...........a + (n-1)d
_______________________________________
Given series
50, 100, 150, 200
a = 50
to find d lets use 3rd term as nth term and 2nd term as (n-1)th term
d = 150 -100 = 50
Thus,
nth term = 50 + 50(n-1) = 50 + 50n -50 = 50n
50n can represent the position of the term of the sequence.
To validate this lets put n = 4
50*4 = 200 which is the same as the fourth term given in the series.
hence our solution is correct.
What method can be used to write the equation of a line in slope-intercept form given two points? Find the slope using the formula , and then substitute one point and the slope into the equation to find the y-intercept. Find the slope using the formula , and then substitute one point and the slope into the equation to find the y-intercept. Find the y-intercept using the formula , and then substitute one point and the y-intercept into the equation to find the slope. Find the y-intercept using the formula , and then substitute one point and the y-intercept into the equation to find the slope.\
I'm sorry it took this lobg
PLZZ ANSWER AND ANSWER STEP BY STEP PLZZZ I NEED HELP!
Elaine earns $9.50 for the first 10 1/2 hours she works and $10.30 for every hour after that.If Elaine worked 20 1/4 hours,how much would she earn.
Answer: B
Step-by-step explanation:
I had this question on EDG
3m^2+4mn-5n^2+(-m^2)-6mn+2n^2+3mn-n^2+3m^2+mn+4n^2
Answer:
5m^2 + 2mn
Step-by-step explanation:
Answer:
[tex]5 {m}^{2} + 2mn[/tex]solution,
[tex]3 {m}^{2} + 4mn - 5 {n}^{2} + {( - m)}^{2} - 6mn + 2 {n}^{2} + 3mn - {n}^{2} + 3 {m}^{2} + mn + 4 {n}^{2} \\ = 3 {m}^{2} + 4mn - 5 {n}^{2} - {m}^{2} - 6mn + 2 {n}^{2} + 3mn - {n}^{2} + 3 {m}^{2} + mn + 4 {n}^{2} \\ [/tex]
Collect like terms:
[tex]3 {m}^{2} - {m}^{2} + 3 {m}^{2} - 5 {n}^{2} + 2 {n}^{2} - {n}^{2} + 4 {n}^{2} + 4mn - 6mn + 3mn + mn \\ [/tex]
Simplify:
[tex] = 5 {m}^{2} - 4 {n}^{2} + 4 {n}^{2} + mn + mn \\ = 5 {m}^{2} + 2mn[/tex]
Hope this helps..
Good luck on your assignment..
Lines L and M are parallel.
4
3
5
L
2
1/6
38° 7.
- M
Find : m24
Enter the number that
belongs in the green box.
?]
Enter
Answer:
38°solution,
<2=38°( being corresponding angles)
<4=<2( being vertically opposite angles)
=38°
About corresponding angles:
Please look the first one picture.
There,
<b is an exterior and <d is an interior angle lying to the same side of transversal and they are not adjacent to each other.They are called corresponding angle.A pair of corresponding angles made by a transversal with parallel lines is always equal.
About vertically opposite angles
please look the second one picture.
there,
<AOC and <BOD are formed by intersected line segments and they lie to the opposite side of common vertex.They are called vertically opposite angles.<AOD and <BOC are another pairs of vertically opposite angles.Vertically opposite angles are always equal.
<AOC=<BOD
<AOD=<BOC
Hope this helps...
Good luck on your assignment..
Two workers finished a job in 12 days. How long would it take each worker to do the job by himself if one of the workers needs 10 more days to finish the job than the other worker?
Answer:
20 days
Step-by-step explanation:
t = time required by one worker to complete the job alone
(t+8) = time required by the other worker
So:
7.5/ t + 7.5/ (t + 8) = 1
Solve for t.
...
t = 12 days, the first guy working alone
The other worker would finish the job in 20 days.
Answer:
7 days and 17 days
Step-by-step explanation:
We can write an equation to solve this. An equation could be: ½x + ½y = 12. x - y = 10. Variables that solve this equation are x=7 and y=17. 7 + 17 = 24÷2 (since there are 2 workers) =12. Also, ½(7) + ½17 = 3.5 + 8.5 = 12. So, we know that the faster worker will take 7 days and the slower worker will take 17 days.
Hope this helps! Plz give me brainliest, it will help me achieve my next rank.
Consider the line - 8x-5y = -7.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?
Answer:
See below
Step-by-step explanation:
First, you need to find the slope of the given line. You can do this by rearranging the equation so that it is in slope-intercept form (y = mx + b).
-8x - 5y = -7
-5y = 8x - 7
y = -8/5x + 7/5
The slope of this line is -8/5.
The slope of a line that is perpendicular will be the negative reciprocal. You have to change the sign, and basically flip the numerator upside down. The slope of the perpendicular line will be 5/8
-8/5 = 8/5 = 5/8
The slope of a line that is parallel will be equal. This means that the slope will be -8/5.
What is the common ratio of the following sequence?
-5, -20, -80,-
0-4
0 1
NI
04
NEYT OLIESTION
Answer:
4
Step-by-step explanation:
Given
-5, -20, -80, .....
Required
Determine the common ratio
The common ratio of a sequence is determined by dividing a term by its immediate previous term;
Let the term be represented with [tex]T_1, T_2, T_3[/tex] and the common ratio with r
From the analysis above;
[tex]r = \frac{T_2}{T_1}\ or\ r = \frac{T_3}{T_2}[/tex]
Substitute -5 for [tex]T_1[/tex]; -20 for [tex]T_2[/tex]; -80 for [tex]T_3[/tex]
[tex]r = \frac{-20}{-5}\ or\ r = \frac{-80}{-20}[/tex]
[tex]r = 4\ or\ r = 4[/tex]
Both values of r are the same;
Hence, the common ratio of the sequence is 4
A rectangular prism has a length of 3 feet, a height of 7 feet, and a width of 14 feet.
What is its volume, in cubic feet?
Answer:
294 cubic ft.
Step-by-step explanation:
All you do is just multiply the length, width, and height!
3 × 14 × 7 = 294
hopefully this helped :3
Answer:
294 cubic feet
Step-by-step explanation:
If a triangle’s original dimensions are 24 cm by 40 cm, which triangle would be an enlargement of the original by a scale factor of 2.2? A triangle with a base of 18.18 centimeters and a height of 10.9 centimeters. A triangle with a base of 42.2 centimeters and a height of 26.2 centimeters. A triangle with a base of 88 centimeters and a height of 52.8 centimeters. A triangle with a base of 200 centimeters and a height of 120 centimeters.
Answer: C) 52.8 and 88
Step-by-step explanation:
Simply multiply both dimensions(24 and 40) by 2.2 to get 52.8 and 88. Thus the answer is C.
Hope it helps <3
Answer:
Third Choice 52.8 cm by 88 cm
Step-by-step explanation:
Multiply each dimension by the scale factor.
24 cm * 2.2 = 52.8 cm
40 cm * 2.2 = 88 cm
Answer:
30 POINTS!!! Heather is collecting dimes. She saves one dime on the first day, two dimes on second day, and three dimes on third day. If this pattern continues, hom much money will heather have saved at the end of 30 days? Please Explain!
Answer:
hope dis help ;_;
Step-by-step explanation:
It's easy to see the manual solution: 1(.1) + 2(.1) + 3(.1) +......+ 30(.1).
But nobody wants to do that repetitive computation. If we factor out the (.1),
we see (.1) * (1+2+3+4...+30). Still somewhat repetitive, but not bad for just 30.
We really need a formula for big numbers though. The short cut for adding a series
of numbers is to find the average of the first and last numbers and multiply by how
many there are in the list:
(first + last)(the quantity of numbers) / 2 = (1 + 30)(30) / 2 = 465
465(.1) = $46.50
The money that Heather will save at the end of 30 days will be 465.
What is arithmetic progression?
Arithmetic progression is a sequence of numbers with a common difference. It is given by,
aₙ = a₁ + (n - 1)d
Where,
aₙ = the nᵗʰ term in the sequence
d = common difference
a₁ = first term
Now,
We have,
Heather saves one dime on the first day, two dimes on the second day, and three dimes on the third day and continues for 30 days.
So,
Money saved on the first day = 1
And,
Money save on 30 day = 30
So,
Using the sum of Arithmetic progression formula,
Sₙ = n/2 [ a + l ]
where,
n = 30
a = first term = 1
l = last term = 30
Now,
Sₙ = n/2 [ a + l ]
Sₙ = 30/2 [ 1 + 30]
Sₙ =15 × 31
Sₙ = 465
So, money saved at the end of 30 days = 465
Hence we can say that the money that Heather will save at the end of 30 days will be 465.
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