Answer:
(x + 3) (x^2 - 6)
Step-by-step explanation:
Factor the following:
x^3 + 3 x^2 - 6 x - 18
Factor terms by grouping. x^3 + 3 x^2 - 6 x - 18 = (x^3 + 3 x^2) + (-6 x - 18) = x^2 (x + 3) - 6 (x + 3):
x^2 (x + 3) - 6 (x + 3)
Factor x + 3 from x^2 (x + 3) - 6 (x + 3):
Answer: (x + 3) (x^2 - 6)
A swimming pool is 50 m long and 25 m wide. It is 1.2 m deep at shallow end and 2 m deep at the other end.
Answer:
the answer is in picture
4. Rosa says, “Integers are
whole numbers and their
opposites.” She's correct.
Find the opposites of these
integers: 12, 29
Their opposites are
-12 and -29.
torso panel
Their opposites are
1
and 1.
12 29
torso panel
Answer:
-12,-29Step-by-step explanation:
if it is on a numbering . then write the inverse of the number given eg.1 = -1,2 = -2 etc.
B={the first five multiple of 2}. Express it in roster method and rewrite in set builder method?
Answer:
B (2,4,6,8,10) is the answer
B=(X:X is the first five multipel of 2)
this is a correct answer
Mrs. Magee purchased 3 ice cream cones with a $10 bill. Mrs. Magee was given $2.86 in change. What is the price of one ice cream cone?
Answer
5.56
Step-by-step explanation
The price of one ice cream cone is $2.38
The given parameters;
the money given by Mrs Magee for the 3 ice cream cones = $10the change given to Mrs Magee = $2.86The actual amount Mrs Magee purchased the 3 ice cream cones;
Total amount paid = $10 - $2.86 = $7.14
The price of one ice cream cone is calculated as follows;
[tex]Price \ of \ each = \frac{Total \ cost}{total \ number } \\\\Price \ of \ each = \frac{\$7.14}{3} = \$2.38[/tex]
Thus, the price of one ice cream cone is $2.38
Learn more here: https://brainly.com/question/20814121
Choose the inequality that represents the following graph.
H 4
+
-4
+
2.
+
4
-5
-3
-2
-1
0
1
3
5
Choose 1 answer:
2 <-3
3 <-3
С
> -3
D
a 2-3
Answer:
B
Step-by-step explanation:
The solid circle at - 3 indicates that x can be equal to - 3
The arrow pointing left indicates the values of x are less than - 3
Then
x ≤ - 3 → B
A solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. A solid oblique cone with a slant length of 17 units is inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. What is the unfilled volume inside the cylinder
Answer:
C. 640π cubic units
Please help me with my homework!!!!!!
Answer:
Step-by-step explanation:
Given that x = 3 and y = 2 we can figure these out
3x = 3x3 = 9
5y = 5 x 2 = 10
9+10=19
X times y - 1
3x2-1=5
X*+y* =
3x3+2x2 = 13
2x3*-2 =
2x3x3 - 2 = 16
-5x3+9
= -6
2x2-3+5+3*-3x2 =
9
What is the period of the function given?
pls
Answer:
2. ☑ A [tex]\displaystyle f(x) = tan\:\frac{1}{2}x[/tex]
☐ B [tex]\displaystyle f(x) = tan\:2x[/tex]
☐ C x = [tex]\displaystyle 2tan\:x[/tex]
1. ☐ A [tex]\displaystyle \frac{\pi}{2}[/tex]
☐ B [tex]\displaystyle \pi[/tex]
☑ C [tex]\displaystyle 2\pi[/tex]
Explanation:
[tex]\displaystyle \boxed{f(x) = -cot\:(\frac{1}{2}x - \frac{\pi}{2})} \\ \\ y = Acot(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\pi} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{1}{2}} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{\pi}{\frac{1}{2}} \\ Amplitude \hookrightarrow N/A[/tex]
OR
[tex]\displaystyle y = Atan(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{\pi}{\frac{1}{2}} \\ Amplitude \hookrightarrow N/A[/tex]
Here is all the information you will need. Now, what you need to know is that ALL tangent, secant, cosecant, and cotangent functions have NO amplitudes. Also, keep in mind that although this IS the tangent graph, if you plan on writing your equation as a function of cotangent, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = cot\:\frac{1}{2}x,[/tex] in which you need to replase "tangent" with "cotangent", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the tangent graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cotangent graph [photograph on the right] is shifted [tex]\displaystyle \pi\:units[/tex] to the left, which means that in order to match the tangent graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle \pi\:units,[/tex] which means the C-term will be positive, and perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\pi} = \frac{\frac{\pi}{2}}{\frac{1}{2}},[/tex] but we are NOT YET DONE. Although we shifted the graph back into position, remember, cotangent is graphed in REVERCE, so we need to insert a negative in front of the amplitude term, and with that, the cotangent graph of the tangent graph, accourding to the horisontal shift, is [tex]\displaystyle y = -cot\:(\frac{1}{2}x - \frac{\pi}{2}).[/tex] Now, with all that being said, we can move forward. To find the period in this case, you need to take a look at the distanse between each vertical asymptote. Now, accourding to this graph, the vertical asymptotes are [tex]\displaystyle -\pi = x\:and\:\pi = x.[/tex] From here, you will then find the distanse between these asymptotes by simply perfourming the operation of Deduction, and doing that will give you [tex]\displaystyle \boxed{2\pi} = \pi + \pi.[/tex] So, the period of this function is [tex]\displaystyle 2\pi.[/tex] Now, you will instantly get the jist of the horisontal shift by looking at the above formula. Just keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to what is given to you inside those parentheses. Finally, the midline is the centre of your graph, also known as the vertical shift, which in this case is at [tex]\displaystyle y = 0.[/tex]
Well, that just about wraps it up. Now that everything has been explained, you should understand it better. If you still have questions, do not hesitate to comment any you have.
I am delighted to assist you at any time.
Can someone please explain to me how we do this please...
Answer:
(7/8, 0)
Step-by-step explanation:
The formula to find the midpoint is (x1+x2/2, y1+y2/2).
(5.5-3.75/2, 2.25-2.25/2)
(1.75/2, 0/2)
(0.875, 0)
(7/8, 0)
Best of Luck!
simplify (x+3)^2 -3 (2x+3)
Answer:
x^2.
Step-by-step explanation:
(x+3)^2 -3 (2x+3)
= (x + 3)(x + 3) - 3(2x + 3)
= x^2 + 3x + 3x + 9 - 6x - 9
= x^2 + 6x + 9 - 6x - 9
= x^2 + 6x - 6x + 9 - 9 Simplify like terms:
= x^2.
Segment AB is a line segment on a number line. Endpoint A is at –18, and the midpoint is at -6.
Determine the coordinate of endpoint B.
Coordinate of endpoint B
PLEASE HELP ASAPPPPPPPPPPP
[tex]\boxed{\boxed{\sf Area\:of\:the\:figure=10x^4-50x^3+5x^2+246x-196}}[/tex]
Refer to the attachment for calculations.
The greater of two numbers is 6 more than 4 times the smaller. Their sum is 41. FInd the numbers.
Answer:
7 and 34
Step-by-step explanation:
let x and y be the 2 numbers with x > y
The 2 equations to solve are
x = 4y + 6 → (1)
x + y = 41 → (2)
Substitute x = 4y + 6 into (2)
4y + 6 + y = 41 , that is
5y + 6 = 41 ( subtract 6 from both sides )
5y = 35 ( divide both sides by 5 )
y = 7
Substitute y = 7 into (1)
x = 4(7) + 6 = 28 + 6 = 34
The 2 numbers are 7 and 34
Maureen's dad is 32 years older than Maureen. Six years ago, the sum of their ages was 52. How old is Maureen now?
Answer:
26
Step-by-step explanation:
answer needed within one hour :(
Step-by-step explanation:
ANGLE ,x=60
B=C(isoscles)
A=B.As sides are equal.
If R is the midpoint of QS, find QS. (2x + 16) and (5x - 17) Brainliest to correct answers. Please no spamming or random answers this is due tmrw thx.
Answer:
QS = 76
Step-by-step explanation:
Given R is the midpoint of QS , then
RS = QR , that is
5x - 17 = 2x + 16 ( subtract 2x from both sides )
3x - 17 = 16 ( add 17 to both sides )
3x = 33 ( divide both sides by 3 )
x = 11
Then
QS = QR + RS
= 2x + 16 + 5x - 17
= 7x - 1
= 7(11) - 1
= 77 - 1
= 76
please help, will mark brainliest !
Answer:
the last one
Step-by-step explanation:
What are nudibranch? Only some of the most colorful sea creatures on Earth! These marine mollusks boast a variety of
unique shapes and colors, and they live anywhere in the world's oceans, from the tropics to Antarctica. There are many
different types of nudibranchs, some no longer than an inch, and some as long as two feet! Some use toxic appendages
to defend themselves, while others use camouflage. Some even make their own chemicals to keep predators at bay.
Why do nudibranchs have these defenses? Because they are naked! Nudibranch means "naked gills," so named for
their soft bodies and their exposed gills, which sit atop their backs. While common to the ocean, these unusual creatures
can be spotted on underwater dives.
In 2-3 sentences, summarize the information in the paragraph.
Nudibranchs are a detachment of marine gastropods, close to the snails, but without shell and with a pronounced mantle.
Their secondary cutaneous gills are soft, unprotected outgrowths of integuments of various shapes and are located on the sides or on the dorsal side of the body; some species have no gills at all. They inhabit mainly warm seas and oceans. Some species are poisonous and have a bright color. All nudibranchs are hermaphrodites. They are very picky about their food.
Learn more in https://brainly.com/question/9727521
A square sandbox has an area of 42ft to the power of 2. What is the approximate perimeter of the sandbox to the nearest hundredth?
- Is this a function? Why or why not?
Independent
Variable
Dependent
Variable
3
6
4
15
+8
12
14
agen 20
22
11
asking for
9514 1404 393
Answer:
a) yes (a function)
b) no (not a function)
Step-by-step explanation:
A functional relationship will have only one value of dependent variable for each value of independent variable. That is, the column on the left can only have one arrow tail per item.
__
a) is a function. Each independent variable maps to one dependent value
b) not a function. Independent variable values 7 and 30 map to two values each.
For the equation: – 36 – 4r = -2(-6 + 6r), what is the value of r?
Answer:
r = 6
Step-by-step explanation:
– 36 – 4r = -2(-6 + 6r)
+36 +36
----------------------------------
-4r = -12r + 48
+12r +12r
----------------------------------
8r = 48
/8 /8
----------------------------------
r = 6
Answer:
r = 6
Step-by-step explanation:
– 36 – 4r = -2(-6 + 6r)
-36 - 4r = 12 - 12r
-48 - 4r = -12r
-48 = -8r
r = 6
Yolanda has 3/4 of a cup of sugar. This is 3/5 of what she needs. How much sugar does Yolanda need?
Show your reasoning.
Answer:
[tex]1\frac{1}{4}[/tex] cups
Step-by-step explanation:
1. Info we have3/4=3/5
2. Solving3/4*1/3=3/5*1/3
1/4 = 1/5
1/4*5=1/5*5
5/4=5/5
5/4= 1 and 1/4 cups
Hope this helped! Please mark brainliest :)
~~ SUMMER ~~
what are 5 expressions that are equivalent to 12x4
Answer:
6 x 8
48 x 1
24 x 2
12 x 4
16 x 3
Are the 5 expressions equivalent to 12 x 4
1 3/4 divided by 2 3/8
will give brainiest pls help
Answer:
[tex]\frac{14}{19}[/tex]
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
[tex]\frac{7}{4} \div \frac{19}{8}[/tex]
Applying the fractions formula for division:
[tex]= \frac{7 \times 8}{4 \times 19}[/tex]
[tex]= \frac{56}{76}[/tex]
Simplifying 56/76, the answer is:
[tex]\frac{14}{19}[/tex]
I hope this helps! :)
Answer:
the answer is 14/19
change the mixed numbers to improper fractions then that becomes 7/4 and 19/8 then multiply across 7x8=56 and 19x4=76 that gives you 56/76
Simplifying 56/76,= 14/19
The morning temperature was at 23.5° F. Later that evening the temperature had dropped to 15.6° F. What was the change in temperature?
According to Jake the temperature had a change of -7.9° F.
Is Jake’s answer a true of false statement? Please explain your reasoning for your answer.
Answer:
Jake's answer is true; the change in temperature is -7.9° F.
Step-by-step explanation:
The change in temperature is the final value minus the initial value. Evening minus the morning.
The final value is 15.6° F, the initial value is 23.5° F.
So 15.6 - 23.5 = -7.9
Jake's answer is true.
Question 7
Which graph best represents the solution to the following inequality?
+ 5 > 11
A
16
17
19 20 21 22
23 24 25
O
15
16
17
18 19 20 21 22
23
24 25
c.
10 11
3 4 5
12
15
13 14
D.
8
10
11
12
13
14
15
Answer:
D
Step-by-step explanation:
x + 5 > 11
is the same as
x > 6
and because it is ">" and not ">=", the solution point is not included.
therefore the right graph is D and not C. an empty little circle means "excluded", while a filled, black circle means "included".
HELP
Write one equation that has solutions of x = -3 and x = 2.
Answer:
x = -3
Equation: 2x + 2 = -4
x = 2
Equation: 3x - 3 = 3
What is the first step to solving the division problem below?
6288 divided by 8
Answer:
devide it by 2 three times
Step-by-step explanation:
6288/2=3144
3144/2=1572
1572/2=786
i think that's the easiest way to do it
what is the answer and the remainder for the problem
76,000 divided by 816
I NEED ANSWER ASAP PLEASE I BEG OF YOU
Answer:76000 divided by 816 equals
93 with a remainder of 112
Step-by-step explanation: 0 0 0 9 3
8 1 6 7 6 0 0 0
− 0
7 6
− 0
7 6 0
− 0
7 6 0 0
− 7 3 4 4
2 5 6 0
− 2 4 4 8
1 1 2
You are making a smoothie that calls for 1/4 cup of yogurt. This only makes enough for 1 person and we need enough for 4 total people. How much
yogurt should you add
Answer:
2 cups of yogurt
Step-by-step explanation:
1=1/2
4=4×(1/2)
=2
