The domain of the function is the real number and the range of the function is (-∞, 6].
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The function f(x) = -x² - 4x + 2
The function can be written as
[tex]\rm f(x) = -x^2- 4x +2\\\\f(x) = -x^{2}- 4x - 4 + 4 +2 \\\\f(x) = -(x^{2} +4x +4) + 6\\\\f(x) = -(x+ 2)^2 + 6[/tex]
The domain is the real number and the range is (-∞, 6].
More about the function link is given below.
https://brainly.com/question/5245372
Which equation has the same missing number as the given equation?
Answer:
The first one would be the answer!
Step-by-step explanation:
318= 218+100 hope this helps:)
Answer:
The first choice
Step-by-step explanation:
318 - 100 = 218 so
218 + 100 must = 318
the first choice
Height:?
6 cm
1. The diameter of the cylinder is 6cm
as shown above. What is the height of
the cylinder if the volume is 282.6 cu.
cm. Show your work.
Answer:
h = 22.5
Step-by-step explanation:
Volume Cylinder = πr²h
Radius = diameter/2
radius = 3
Solve:
282.6 = π(2)^2(h)282.6 = 3.14 * 4 * h90 = 4h22.5 = h-Chetan K
A tent originally costs $450, but it is on sale for 22% off. If a customer buying the tent has a coupon for $20. 00 off of any purchase, what will her final price be on the tent?.
Answer:
$ 331 :)
Step-by-step explanation:
What are 3 possible solutions for the inequality?
You read a book for 35 minutes. Then you played 4 computer games. Each game took 8 minutes to play
Answer:
Total time: 67 minutes
Step-by-step explanation:
35m + 4(8m) = 67m
Answer:
READING TIME :- 35 MINUTES
GAME TIME. :- 32 MINUTES
HOPE IT HELPS U!!!!
S $1,595 deposit for 10 years at a simple interest rate of 8%
Answer:
$2,871.00
Step-by-step explanation:
Calculation:
First, converting R percent to r a decimal
r = R/100 = 8%/100 = 0.08 per year.
Solving our equation:
A = 1595(1 + (0.08 × 10)) = 2871
A = $2,871.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,595.00 at a rate of 8% per year for 10 years is $2,871.00.
20 points PLEASE HELPPP!!!
Answer:
1. total area = 135mi²
Step-by-step explanation:
hope this helps :)
Some of the steps in Raya's solutions are shown.
Answer:
2. Distributive Property
4. Division Property of Equality
Step-by-step explanation:
2. The reason is Distributive Property since Raya distributed 2.5 to each term in the parentheses:
2.5(6.25x)+2.5(0.5)=11 --> 15.625x+1.25=11
4. The reason is Division Property of Equality since Raya divided both sides by 15.625.
A more in depth version of 3-4:
15.625x+1.25-1.25=11-1.25
15.625x=9.75
Divide both sides by 15.625 (division property of equality since she is dividing the same number from both sides of the equation)
x=0.624
3x - 2y =6
if x is equal to -1; 0; 1
Step-by-step explanation:
if X=-1
3(-1) - 2y =6
-3 - 2y =6
-2y=6+3
-2y =9
y=
[tex] \frac{9}{ - 2} [/tex]
y=
[tex] - 4 \frac{1}{2} [/tex]
If X=0
3(0)-2y=6
0-2y=6
-2y=6+0
-2y=6
y=
[tex] \frac{6}{ - 2} = - 3[/tex]
y= -3
if X=1
3(1)-2y=6
3-2y=6
-2y=6-3
-2y=3
y
[tex] \frac{3}{ - 2} = - 1 \frac{1}{ 2} [/tex]
What is important when learning about trig?
Answer:
-You should already be familiar with algebra and geometry before learning trigonometry. From algebra, you should be comfortable with manipulating algebraic expressions and solving equations. From geometry, you should know about similar triangles, the Pythagorean theorem, and a few other things, but not a great deal.
-Measure the lengths of the sides of sets of similar right angled triangles and find the ratio of sides.
-Investigate the relationship between these ratios and the angle size.
-Use calculators or tables to find the sine, cosine and tangent of angles.
Step-by-step explanation:
basic knowledge i guess
Before beginning trigonometry, you need be comfortable with algebra and geometry. You should be comfortable handling algebraic expressions and solving problems after studying algebra. You should know about similar triangles, the Pythagorean theorem, and a few other things from geometry, but not much else. Students can use trigonometry to calculate the precise angle of a triangle's sides, the distance between distinct points on a triangle, and other information that is useful in a number of situations. Trigonometry is an essential component of ICSE Class 10 Mathematics since it combines memorization, conceptual knowledge, and problem-solving abilities. Because many of the earth's natural formations resemble triangles, it aids children in their comprehension of the globe.
Hope this helps
~ ROR
Discuss the income effect for normal and inferior goods
Answer:
➢ The income effect describes the relationship between an increase in real income and demand for a good. The result of the income effect for a normal good is discernible to that of an inferior good in that a positive income change causes a consumer to buy more of a normal good, but less of an inferior good.
[tex]Into \: your Arms[/tex]
#CarryOnLearning
ok so i have three questions 1. 4 – 3/7 = _______
2. 3/4 + 5/8 = _______
and 3. 1 – 4/5 = _______
Describing a System of Equations
Describe a system of linear equations that has no solution.
Answer:
If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.
Answer:
Sample Response/Explanation: A system consisting of lines that do not intersect will have no solution. Lines will not intersect if they have the same slope, but different y-intercepts. Parallel lines have the same slope, which means they will never intersect.
Step-by-step explanation:
7a + 3 ( a - 4) please help!!
Step-by-step explanation:
7a+3a-4
=10a-4
Hope this can help you
Answer:
2(5a-6)
Step-by-step explanation:
[tex]=7a+3(a-4)\\\\=7a+3a-12\\\\=10a-12\\\\=2(5a-6)[/tex]
i need help pls im only a small 8th grader i need help. its due at midnight and its 11.35 rn please have mercy <33
[1] y = 2x
- the line goes through the origin (0, 0) so there will be no b value
- the line, starting from (0, 0) goes up two and to the right 1 into the next point giving us a slope of 2/1 which simplifies to 2
[2] (0, 5)
- we can figure this out without graphing or plugging in values because (0, y) will be the y-intercept, or the b value
- in this case the value is 5
[3] y = 3x + 12
- it uses a different term than I am used too, but by "graident" I think they mean the slope
- if it has the same slope, then it will be a slope of 3
- if it passes through (0, 12) then again, this is the y-intercept or our b-value
Have a nice day!
-> See attached for more information on b values
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
4-(3x+3)=4x
The way I did was
4-3x+3=4x
Then i group the x
3x-4x=
Now that’s where I got stuck
Answer:
4-(3x+3)=4x
4-3x-3=4x
4-3=4x+3x
1=7x
x=1/7
or
4-(3x+3)=4x
4-3x-3=4x
-3x-4x=-4+3
-7x=-1
x=-1/-7
-/-=+
so -1/-7 it equal to 1/7
you dont want negative x
x=1/7
Answer:
1/7
Step-by-step explanation:
Take your equation: 4-(3x+3)=4x
Then, use the distributive property to carry out the negative sign, so you get 4-3x-3=4x
Add 3x to both sides to get: 4-3=4x+3x
Add like terms together to get: 1=7x
Flip the sides to get: 7x=1
Divide by 7 on both sides to get 7x/7=1/7
Simplify to get: x=1/7
( i ready ) i want to double check my answer
Answer:
Step-by-step explanation:
yeah you got it
I need help with this equation please: 24c+36d+18:
Thank you!
Answer
[tex] \: \: [/tex]
[tex] \sf \large \red{ ↬}24c + 36d + 18[/tex]
[tex] \: \: [/tex]
[tex] \boxed{ \sf \large \red{ ↬}6(4c + 6d + 3)}[/tex]
[tex] \: \: [/tex]
Hope Helps!
what is x-72=136 and what is n - 10 = 13 + 5
Answer:
1) x = 208 2) n = 28
Hope this helps! Have a great day!!
Step-by-step explanation:
1)
x - 72 = 136
+ 72 +72
x = 208
2)
n - 10 = 13 + 5
n - 10 = 18
+10 +10
n = 28
First off we will use our definitions so you know what do to next time and make it easier,
DefinitionAlgebra - the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
_______________
Now we can start!
[tex]\huge\blue{\mid{\fbox{\tt{NUMBER\:ONE}}\mid}}[/tex]
[tex]x-72=136[/tex]Add 72 to both sides,
Answer : [tex]x=208[/tex]
[tex]\huge\blue{\mid{\fbox{\tt{NUMBER\:TWO}}\mid}}[/tex]
[tex]n-10=13+5[/tex]Simplify ⇒ [tex]13+5[/tex] ⇒ [tex]18[/tex]
[tex]n-10=18[/tex]Add 10 to both sides
Answer : [tex]n=28[/tex]
The x coordinate is zero and
the y coordinate is positive so what quadrant are they located in
Answer:
If the x-coordinate is (0,0) and the y-coordinate is positive, it is not technically in any quadrant because it is located on the line and not in any quadrant.
Step-by-step explanation:
I NEED HELP ASAP PLEASE
The side lengths of a triangle are 9, 12, and 15. Is this a right triangle?
A. Yes, because 9*2 + 12*2 = 15*2
B. No, because 9*2 + 12*2 ≠ 15*2
C. No, because 9+ 12 ≠ 15.
D. Yes, because 9*2 + 12*2 > 15*2
The points (-6, 5) and (r, 20) lie on a line with slope 5/4
Find the missing coordinate r.
A square has side length 2x+5 . Find its area.
Answer: 4x^2 + 20x + 25
Step-by-step explanation:
(2x + 5)^2 = 4x^2 + 20x + 25
Solve for x. 4x + 3 = 35 Enter your answer in the box.
Answer:
x = 8
Step-by-step explanation:
4x + 3 = 35
subtract 3 from each side
4x = 32
divide 4 from each side
x = 8
Factor 10w^2-31w+15
I'm really stumped lol
Answer:
[tex]10 {w}^{2} - 31w + 15 \\ \\ 10 {w}^{2} - 6w - 25w + 15 \\ \\ 2w(5w - 3) - 5(5w - 3) \\ \\ (2w - 5)(5w - 3)[/tex]
# be careful #
Urgent and pls explain thoroughly. O is the centre of the circle. OA, OB and OC are radii. Angle AOB = 72°.
Work out
a) angle OAB b) angle OCB c) angle ABC
Answer:
<ABC=90° <OCB=36° <OAB=54°
Step-by-step explanation:
<ABC=90°
<ocb= half of aob
<oab + <abc+<ocb=180°(triangle abc)
Answer:
a) ∠OAB = 54°
b) ∠OCB = 36°
c) ∠ABC = 90°
Step-by-step explanation:
a)
If O is the center of the circle, then OA and OB are both the radius. Therefore, OA = OB
This means that ΔAOB is an isosceles triangle, as is has two sides of equal length (OA and OB).
The angle between the equal sides (∠AOB) is called the vertex angle. The side opposite the vertex angle (AB) is called the base and base angles are equal. Therefore, ∠OAB = ∠OBA
Given:
The sum of the interior angles of a triangle is 180°∠AOB = 72°∠OAB = ∠OBA⇒ ∠OAB + ∠OBA + ∠AOB = 180
⇒ ∠OAB + ∠OBA + 72 = 180
⇒ ∠OAB + ∠OBA = 108
⇒ ∠OAB = 108 ÷ 2 = 54°
b)
Again, we can see that OB and OC are both the radius, so OB = OC. This means that ΔBOC is also an isosceles triangle, with ∠BOC as the vertex and BC as the base.
Calculate ∠BOC:
Given:
Angles on a straight line add up to 180°∠AOB = 72°⇒ ∠AOB + ∠BOC = 180
⇒ 72 + ∠BOC = 180
⇒ ∠BOC = 108°
Calculate ∠OCB:
Given:
The sum of the interior angles of a triangle is 180°∠BOC = 108°∠OBC = ∠OCB⇒ ∠OBC + ∠OCB + ∠BOC = 180
⇒ ∠OBC + ∠OCB + 108 = 180
⇒ ∠OBC + ∠OCB = 72
⇒ ∠OCB = 72 ÷ 2 = 36°
c)
Thales's theorem is a special case of the inscribed angle theorem and states that:
If A, B, and C are distinct points on a circle where the line AC is a diameter, then ∠ABC is a right angle.Given that AC is the diameter of this circle, and points A, B and C are on the circle, then ∠ABC = 90°
5(x+6) in standard form
Hey there!
5(x + 6)
DISTRIBUTE 5 to WITHIN PARENTHESES
= 5(x) + 5(6)
= 5x + 30
Therefore, your answer is: 5x + 30
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Fill in the missing number. % of 96 = 24 Submit
Answer:
[tex]25[/tex]% of 96 = 24
Step-by-step explanation:
?% of 96 = 24
[tex]\frac{x}{100} =\frac{24}{96}[/tex]
[tex]x =\frac{24*100}{96}[/tex]
[tex]x = 25[/tex]%
how to do subtracting unlike fractions easily?
Find the least common multiple of the denominators of the fractions. Write equivalent fractions that have the least common multiple as the denominator.
A trapeziod is always an example of
Answer:
quadrilateral
Step-by-step explanation: