Answer:
Step-by-step explanation:
Answer: Interval notation: (−∞, 3) ( − ∞, 3) Any real number less than 3 in the shaded region on the number line will satisfy at least one of the two given inequalities. Example 4: Graph and give the interval notation equivalent: x<3 or x≥−1. x < 3 or x ≥ − 1. .
The statement in the mathematical form will be x ≤ 3. Then the inequality in the interval notation will be [3, ∞).
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.
x is less than or equal to 3.
Convert the statement into a mathematical inequality. Then we have
x ≤ 3
The statement "x is less than or equal to 3" in the mathematical form will be x ≤ 3.
Thus, the inequality in the interval notation will be [3, ∞).
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ2
Jimmy is going scuba diving. He started at 10 ft below sea level. He then dove 15 ft further, then he got nervous and came up 5 ft. Write this as an expression (im in 7th grade plz help)
Answer:
it is 55
Step-by-step explanation:
Find A in degrees C= 120° b= 5 c= 11
Answer:
36.8
Step-by-step explanation:
I think A=36.8
Hope it will help you (:
A king Palm can grow about 21 feet a year . Estimate the height of the kind palm , yard ,after 15 years
Answer:
10.5 yards after 15 years
Step-by-step explanation:
2.1 feet times 15 years, which equals to 31.5 feet, convert 31.5 feet into yards, so divide it by 0.3, and that equals to approximately 10.5 yards
Help will give Brainly points
23 + 3.54 ÷ 3 − 1.089
Answer:
23.089
Step-by-step explanation:
Always divide first then continue with subtraction then addition.
Hey there!
Just do PEMDAS
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
23 + 3.54 / 3 - 1.089
= 23 + 3.54 / 3 - 1.089
3.54 / 3 = 1.18
= 23 + 1.18 - 1.089
23 + 1.18 = 24.18
= 24.18 - 1.089
= 23.091
Answer: 23.091
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
In the last year,a total of 14,905 earthquakes occurred in a country. Of these,88.8% were minor tremors with magnitude of 4.9 or less on the Richter scale. How many minor earthquakes occurred in the country in the last year?
Answer:
13,236 minor earthquakes occurred
Step-by-step explanation:
[tex]\frac{Part}{Total}[/tex]
"x" part amount of earthquakes
14,905 total amount of earthquakes
88.8 % part percentage of earthquakes
100% total percentage of earthquakes
[tex]\frac{x}{14905}[/tex] = [tex]\frac{88.8}{100}[/tex]
x = 14,905 × [tex]\frac{88.8}{100}[/tex]
x = 14,905 × 0.888 = 13,235.64 ≈ 13,236 minor earthquakes occurred
PLEASE HELP!!! How does the multiplicity of a zero affect the graph of the polynomial function?
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Answer:
2, 4, 61crossStep-by-step explanation:
Consider a zero at x=1.
If it has multiplicity 1, the corresponding factor is (x -1). Now consider the sign of that factor for x = 1.1. The value is (1.1 -1) = 0.1, a positive number.
When the value of x is 0.9, the factor is (0.9 -1) = -0.1, a negative number.
This tells you that values to the left of a zero make the factor(s) associated with that zero be negative. For x-values to the right of the zero, the factor(s) will be positive.
If the multiplicity is even, the product of those factors is positive on either side of the zero. (A negative number to an even power is a positive number.) That is, the graph will not change sign from one side of an even-multiplicity factor to the other. At an odd-multiplicity factor, the graph changes sign.
__
For the problem at hand, the only even-multiplicity factor is (x -1), so the graph will not change sign at x=1. It will touch the axis (be tangent to the x-axis), but will not cross. The other zeros have odd multiplicity (1 or 3), so the graph will change sign there.
It is worthwhile to note that the higher the multiplicity, the "flatter" the graph is at the zero. You can see this in the attachment by comparing the shape of the graph at x=6 with the shape at x=2 (also an upward zero crossing).
_____
Additional comment
You may wonder why the curve is below the x-axis at x=1 when the product of the factors in that neighborhood is always positive. The reason is that there are an odd number of zeros to the right of x=1, so the product of those factors is negative.
inductive reason what is next number in sequence 400, 200, 300, 150, 250
Answer:
125
Step-by-step explanation:
400÷2 = 200
300÷2 = 150
so,
250÷2 = 125
Solve for x: x^2+4b=0
Answer:
[tex] {x}^{2} + 4b = 0 \\ {x}^{2} = - 4b \\ x = \sqrt{ - 4b} \\ x = 2 \sqrt{b} i \\ thank \: you[/tex]
[(x(exponent)2 times y) - 2z] divided by 4. x=12, y=8, z=6.
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Answer:
285
Step-by-step explanation:
Put the numbers where the variables are and do the arithmetic.
[tex]\dfrac{x^2y-2z}{4}=\dfrac{12^2\cdot8-2\cdot6}{4}=\dfrac{144\cdot8-2\cdot6}{4}\\\\=\dfrac{1152-12}{4}=\dfrac{1140}{4}=\boxed{285}[/tex]
Josef has $300 to spend. Which inequality could help him find the maximum number of gifts, x, he could buy if he needs $215 to fix his car and then wants to spend $15 on each gift?
Answer:
x = (300 - 215)/15
Step-by-step explanation:
x, the amount of gifts, is equal to the amount of money left over after he fixes his car, divided by the amount he's willing to spend on each gift.
josef could buy a maximum of 5 gifts! the answer is 5.6 but he can't buy half a gift, nor can he afford 6, so we round down to get 5 gifts :)
Answer:
Josef can buy 5 gifts for 75$
Find the nth term for the following sequences, 100,96,90,82,72.(an^2+bn+c)
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Answer:
t(n) = -n^2 -n +102
Step-by-step explanation:
We can use the first 3 terms to find a, b, c.
a(1)^2 +b(1) +c = 100
a(2)^2 +b(2) +c = 96
a(3)^2 +b(3) +c = 90
Subtract the first equation from the other two:
3a +b = -4 . . . . . . [eq4]
8a +2b = -10 . . . . [eq5]
[eq5] can be reduced to
4a +b = -5 . . . . . . [eq6]
Subtracting [eq4] from [eq6] gives ...
(4a +b) -(3a +b) = (-5) -(-4)
a = -1 . . . . . . . . simplify
Filling that into [eq4], we get
3(-1) +b = -4
b = -1 . . . . . . . add 3
Putting the values for 'a' and 'b' into the first equation gives ...
-1 +-1 +c = 100
c = 102
Then the n-th term t(n) of the sequence is ...
t(n) = -n^2 -n +102
_____
Additional comment
As you might guess, there is a generic solution for quadratic sequences. In terms of the first term (a1), first first difference (d1), and second difference (d2), the coefficients can be written as ...
a = d2/2b = d1 -3ac = a1 -d1 +d2This sequence has first differences of -4, -6, -8, -10, and second differences of -2. Putting the sequence values into the above formulas, we find ...
a = -2/2 = -1b = -4 -3(-1) = -1c = 100 -(-4) +(-2) = 102 . . . . . as abovehi guys all can come
qwo-jtvf-xkb
Answer
Hello
how are you
Can someone please help me please?
[tex] \large \mathfrak{Answer : }[/tex]
The equation of the red parabola is :
[tex]f(x) = 1 - {x}^{2} [/tex]therefore , correct option in A
A hotel has a total of 7 floors if there are 35 standard rooms on each floor how many standard rooms are there
Answer:
245
Step-by-step explanation:
multiple the amount of rooms on each floor (35) by the amount of floors (7)
35x7=245 rooms
PLEASE HELP- brainliest and points will be given
Answer: Choice B
[tex]\frac{1}{\sqrt{65}}<-4, 7>[/tex]
===============================================================
Explanation:
Consider a right triangle with legs a = 4 and b = 7. Through the pythagorean theorem, the hypotenuse is
c = sqrt(a^2+b^2) = sqrt(4^2+7^2) = sqrt(65)
This represents the length of the vector <-4,7>
Dividing each component by the length will normalize the vector. This is the same as multiplying by [tex]\frac{1}{\sqrt{65}}[/tex] which is what choice B shows. The phrasing "normalize the vector" means "make the vector to be of length 1". A common application of normalizing vectors will come up in computer graphics.
The original vector and the vector mentioned in choice B point in the same direction. The only thing that has changed is the length from sqrt(65) to 1.
The angle made by circle is ______.
Answer:
Step-by-step explanation:
360 degrees
Answer:
No angle is made
Step-by-step explanation:
According to me an angle is a point where two or more lines meet and apparently a circle has no meeting lines expect with given radii , diameters or chords
Evaluate the expression.
6(3 + 5)
26.
4
HELP
Answer =1267.2
Step-by-step explanation:
6(3+5)26.4
6×8×26.4
48×26.4
1267.2 is the answer
a circle has a radius of 4m. find the circumference of the circle show your worth and strictly answering used 3.14 for pi
Answer:
25.12
Step-by-step explanation:
Circumference (C) = 2πr
Where r = radius
We want to find the circumference of a circle with a radius of 4m ( this means that r = 4 )
To do so we simply plug in the value of r into the circumference formula
Formula: C = 2πr
r = 4 ( note that it says use 3.14 for π )
plug in values
C = 2(3.14)(4)
Simplify
C = 25.12
40 points please help
Answer:
[tex]\huge\boxed{-2}[/tex]
Step-by-step explanation:
Use any two points from the line.
Let them be:
(x1,y1) = (0,-2)
(x2,y2) = (-1,0)
Now,
[tex]\displaystyle Slope = \frac{y_2-y_1}{x_2-x_1} \\\\Slope = \frac{0-(-2)}{-1-0} \\\\Slope = \frac{2}{-1} \\\\Slope = -2\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Express (16^3)^1/2
in simplest radical form.
Answer:
I assume you mean 16^(1/3) i.e. the cube root of 16
I am also assuming you mean the real cube root because, as you may know, every non-zero real number has three cube root - one real and two complex conjugates.
Since 16 = 8 x 2 and 8 = 2³ then (2³ x 2)^1/3 = (2³)^1/3 x 2^1/3 = 2 x 2^1/3
You might check that the cube root of 16 is about 2.52 which is twice the cube root of 2
Step-by-step explanation:
A contractor removed 357 cubi c ya rds of earth from a building site. If the contractor’s trucks can haul 17 cubic yards per load, how many truckloads of earth were moved?
Answer:
21 loads
Step-by-step explanation:
357/17=21
A triangle with a perimeter of 30 inches has sides of x+3, 2x+5, and x. find the value of x
Answer:
x = 5.5 inches.
Step-by-step explanation:
The perimeter is the sum of the 3 sides, so:-
x + x + 3 + 2x + 5 = 30
4x + 8 = 30
4x = 22
x = 5.5.
Debra worked for 12 hours each day for 8 days then the next day she worked 9 hours how many hours did Debra work in all
Answer:
105 hours
Step-by-step explanation:
first you do 12 times 8 which equals to 96 then you add 9 to it which equals 105 hours
Answer:
105
Step-by-step explanation:
12 days x 8 hours = 96 hours
96 hours + 9 additional hours = 105.
(12x8)+9 = 105
Find the distance between the pair of points A(7,8) B(-8,4)
Answer:
Formula:
[tex]length = \sqrt{ {(x _{1} -x_{2} )}^{2} + {(y_{1} -y_{2}) }^{2} } [/tex]
substitute:
[tex]l = \sqrt{ { \{7 - ( - 8) \}}^{2} + {(8 - 4)}^{2} } \\ \\ l = \sqrt{225 + 16} \\ l = \sqrt{241} \\ { \boxed{ \boxed{length = 15.5 \: units}}}[/tex]
Please help me and thank you!! Show the steps also please I got 198x
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Answer:
264x³-66x
Step-by-step explanation:
The order of operations requires this be evaluated as ...
11x(96x÷4x -6) . . . . given
11x(24x·x -6) . . . . . . division inside parentheses
11x(24x² -6) . . . . . . multiplication inside parentheses
264x³ -66x . . . . . multiply by outside factor (use the distributive property)
_____
Additional comment
The appearance of the expression in parentheses may induce you to evaluate it as (96x)÷(4x) = 24. The order of operations requires that you do the division before the multiplication, left to right, so this must be evaluated as ...
((96x)÷4)x = 24x²
You need to be very careful with division and with exponents to make sure to follow the Order of Operations exactly. If you have an appropriate calculator, it will do that automatically. For example, if you tell your calculator ...
(for x=2) 11×2×(96×2÷4×2-6)
it should give you the result 1980, not 396.
Answer:
= 198x
Step-by-step explanation:
11x × { 96x ÷ 4x -6}
11x × { 24x -6}
264x - 66x
= 198x
You got the correct answer
Evaluate u + xy, if u = 18, x = 10, and y = 8
Answer:
[tex]u + xy \\ 18 + 10 \times 8 \\ 10 + 80 \\ 90[/tex]
Answer:
Solution,
here,
u=18
x =10
y= 8
=u+xy
=18+(10×8)
=18+80
=98
For this item, any non-integer answer should be entered as a decimal, rounded to the hundredths place.
Triangle ABC has coordinates A(-4,1), B(0,-2),and C(4,1).
The perimeter of ∆ABC is ___ units.
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Answer:
18 units
Step-by-step explanation:
The distance formula is used to find the distance between two points:
d = √((x2 -x1)² +(y2 -y1)²)
For AB, the distance is ...
d = √((0 -(-4))² +(-2 -1)²) = √(16 +9) = √25 = 5
The distances between the other pairs of points can be found the same way. We have elected to let a spreadsheet do the math. It tells us the perimeter of triangle ABC is 18 units.
Answer: 18 units
Step-by-step explanation:
Solve for x. 2x^2-4x=0
A.
0, -4
B.
0, -2
C.
0, 2
D.
2, 4
Find the difference
Pls helppp
Answer:
3. -10
4. 5
5. -4
6. 24
7. 0
8. 46
9. -1
10. 42
11. -4
12. -26
13. 30
14. -5
When an equation says something like 23 - (-23) then you actually add them together because you multiply the inside by -1 to get 23 + 23
