Which of the following means less than or to?
A.not less than
B.at most
C.at least
D.mininum
Answer:
B. At most
Gives a maximum that it can be.
What are the zeros of the polynomial p(x) = x3 – 19x - 30?
-
1.
-10, 1, 3
2.
-6, -5, 1
3.
-3, -2,5
4.
-15, 1, 2
Answer:
x= -2
x= -3
x= 5
Step-by-step explanation:
The length of a rectangular garden is 9 feet longer than its width. If the garden's perimeter is 206 feet, what is the area of the garden in square feet?
Answer:
Area of rectangular garden is 2632 feet²Step-by-step explanation:
Given that length of Rectangular garden is 9 feet more than its width and perimeter of garden is 206 feet.
Let's assume length of Rectangular garden be x + 9 feet and width be x feet respectively. Firstly using the formula of Perimeter of rectangle we'll find the length and width of the garden.
[tex] \\ \\ \dashrightarrow \: \: { \underline { \boxed{ \pink{ \sf {Perimeter _{(rectangle)} = 2(L + W)}}}}} \\ \\ [/tex]
Substituting the required values:
[tex]\\[/tex]
[tex]\dashrightarrow \sf \: \: 2(x + 9 + x) = 206 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: 2x + 18 + 2x = 206 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: 4x + 18 = 206 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: 4x = 206 - 18 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: 4x = 188 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: x = \dfrac{188}{4 } \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: x = 47 \\ \\ [/tex]
Hence,
Length of garden = x + 9 = 47 + 9 = 56 feetWidth of garden = x = 47 feet[tex]\\[/tex]
Now,
[tex] \\ \dashrightarrow \: \: { \underline { \boxed{ \pink{ \sf Area _{(rectangle)} = Length \times Width }}}} \\ \\ [/tex]
Substituting the required values:
[tex]\\[/tex]
[tex]\dashrightarrow \sf \: \: Area = 56 \times 47 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: Area = 2632~ ft^2 \\ \\ [/tex]
Hence,
Area of rectangular garden is 2632 feet²Answer:
Area of rectangular garden is 2632 feet²
Step-by-step explanation:
Given:-
Length of Rectangular garden is 9 feet more than its width perimeterof garden is 206 feet.To find :-
The area of rectangular gardenSolution:-
Let the length of Rectangular garden be x + 9 feet and width be x feet .
We know that , the formula of Perimeter of rectangle is 2 ( L + B )
putting the known values to find the dimensions ,
2 ( L + B ) = 206 feet
2 ( x + 9 + x ) = 206 feet
4 x + 18 = 206 feet
x = 47 feet
putting the values of x in the equation ,
Length :- 56 feet
width :- 47 feet
Now , area of rectangular garden :- L×B
Area => 56×47 feet²
Area => 2632 feet²
PLEASE HELP!!!!! I"LL MARK AS BRAINLIEST!!!Tom conducted a drawing competition at school. He bought 5 boxes of colored pencils and spent $5.25 on drawing paper. However, more contestants entered than he expected, and he had to buy 2 more boxes of colored pencils. The total cost of the paper and pencils was $82.95. Identify the equation and solution that would help to find the cost of each box of pencils.
A. 5x + 2x + 5.25 = 11.10; $82.95
B. 5x − 2x + 5.25 = 82.95; $11.10
C. 5x − 2x + 5.25 = 82.95; $1.11
D. 5x + 2x + 5.25 = 82.95; $11.10
Which equation is a step in solving the equation |5 − 3x| + 2 = 19? A. 5 − 3x = -17 B. |5 + 3x| = 17 C. 5 + 3x = -17 D. |5 − 3x| = -17
Did the math for you.
[tex]|5 - 3x| + 2 = 19\\|5 - 3x| = 17\\(|5 - 3x|) = 17^2\\25 -15x -15x + 9x^2 = 289\\25 - 30x + 9x^2 -289 = 0\\9x^2 - 30x - 264 = 0\\3(x + 4)(3x - 22)[/tex]
For which values of k would the product of k/3 X 12 be greater than 12
Answer:
[tex]\text{k = 4, 5, 6, 7, 8... and onwards}[/tex]
Step-by-step explanation:
The product of k/3 and 12 be greater than 12.
⇒ k/3 × 12 > 12
The first step in determining the possible values of "k" is to simplify the left-hand-side (L.H.S) of the inequality.
⇒ (12 × k)/3 > 12
⇒ (12 ÷ 3) × k > 12
⇒ (4) × k > 12
The next step in determining the possible values of "k" is to isolate the variable. To do this, we can divide 4 both sides.
⇒ [4 × k]/4 > 12/4
⇒ k > 12/4
⇒ k > 3
To satisfy the inequality, the value of k must be greater than 3. Thus, the values of k could be [tex]\text{4, 5, 6... }[/tex] and so on.
Question 8 (1 point)
Find the perimeter of the triangle.
Answer:
D
Step-by-step explanation:
its the closest to the answer i got so that must be it
please help me.. no links pls
Answer:
The Answer is 108 units.
It's number 2.
How many TRIANGLES can be constructed with angles measuring 110°, 50°, and
10°?
In order to prove mastery please explain how you know
Answer:
You can't cconstruct any triangle
Step-by-step explanation:
110+50+10=170 A triangle always has 180º
{2x+3y=−7, 7x+9y=−14
Answer as an ordered pair (x,y).
Answer:
Step-by-step explanation:
2x + 3y = -7
7x + 9y = -14
-3(2x+3y= -7) = -6x - 9y = 21
-6x - 9y = 21
7x + 9y = -14
add columns (y values cancel)
1x + 0y = 7
x = 7
plug 7 into the x value in either equation to find y
2(7) + 3y = -7
14 + 3y = -7
3y = -21
y = -7
(x,y) = (7,-7)
can you help me for math? Statistic and Probability ! what is P(2) + P(3)?
Answer: 1/3
You can find the complete solution in the given attachment
I hope It helped you
Write the equation of the parabola that has the vertex at point (2,-11) and passes through the point (0,5).
[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\stackrel{vertex}{(\stackrel{h}{2}~~,~~\stackrel{k}{-11})}\qquad y=a(x-2)^2-11\qquad \qquad \textit{we also know that} \begin{cases} x=0\\ y=5 \end{cases} \\\\\\ 5=a(0-2)^2-11\implies 16=4a\implies \cfrac{16}{4}=a\implies 4=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=4(x-2)^2-11~\hfill[/tex]
The equation of the parabola that has the vertex at point (2,-11) and passes through the point (0,5) is y = 4 (x - 2)² - 11.
What is Parabola?A parabola is a two dimensional figure on a plane which is U shaped and any point on the parabola is at an equal distance from a fixed point called focus and a fixed line called directrix.
The general form of a parabola is,
y = a (x - h)² + k
where (h, k) is the vertex.
Given vertex is (2, -11).
Equation is,
y = a(x - 2)² - 11
Also, given that the parabola passes through the point (0, 5).
Substituting,
5 = a (0 - 2)² - 11
⇒ 5 = 4a - 11
⇒ a = 4
So the required equation is, y = 4 (x - 2)² - 11.
Hence the equation of the given parabola is y = 4 (x - 2)² - 11.
Learn more about Parabola here :
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An annual percentage rate (APR) includes:
A. both the interest and fees on a loan.
B. only the fees on a loan.
C. neither the interest nor the fees on a loan.
D. only the interest on a loan.
Answer:
A. both the interest and fees on a loan.
Step-by-step explanation:
An annual percentage rate (APR) includes both the interest and fees on a loan.
[tex]\purple{\boxed{\blue{\boxed{\green{\star{\orange{\ \: \: Sumin-!! \: \: \: {\green{\star}}}}}}}}}[/tex]
Rewrite each equation without absolute value for the given conditions
y=|x-5|+|x+5| if x>5
y=|x-5|+|x+5| if x<-5
y=|x-5|+|x+5| if -5
Step-by-step explanation:
Condition 1x > 5, both terms are positive
y = x - 5 + x + 5 = 2xCondition 2x < - 5, both terms are negative
y = - (x - 5) - (x + 5) = - x + 5 - x - 5 = - 2xCondition 3This is not clear
If x>5
Terms are positiveHence..
y=x-5+x+5=2xIf x<-5 terms are negative
y=-x+5-x-5=-2xIf x=-5
y=|-5-5|+|-5+5|y=|-10|y=10Slope:
Y-intercept=
Equation Y=
Answer:
Slope = -3
Y-intercept = (0,-4)
Equation = -3x-4
Step-by-step explanation:
Slope is [tex]\frac{rise}{run}[/tex] or [tex]\frac{Y2-Y1}{X2-X1}[/tex]. Apply this from the data in the table, for example:
[tex]\frac{5-8}{-3-(-4)} = \frac{rise}{run}\\ \frac{-3}{1} = \frac{rise}{run}\\\\-3= \frac{rise}{run}[/tex]
Y-intercept is located where x=0. If we look at the table, we will find that when x=0, y=-4. If we turn it into a (x,y) point format, we will get (0,4).
The function can be found using the Y-intercept and the slope. Since at x=0, y=-4, we know that the function must have a -4 in it, therefore: [tex]y = x-4[/tex]. Our function decreases by 3 for every positive x and increases by 3 for every negative x, therefore [tex]y = -3x-4[/tex].
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
Right angle
Step-by-step explanation:
It is because ANGLE QMS from the given figure denote 90 ° and right angle means 90°.
Factor 99-45f+36b99−45f+36b99, minus, 45, f, plus, 36, b to identify the equivalent expressions.
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
9(11-5f+4b)9(11−5f+4b)9, left parenthesis, 11, minus, 5, f, plus, 4, b, right parenthesis
(Choice B)
B
3(33-15+12)3(33−15+12)3, left parenthesis, 33, minus, 15, plus, 12, right parenthesis
(Choice C)
C
11(9-4f+3b)11(9−4f+3b)11, left parenthesis, 9, minus, 4, f, plus, 3, b, right parenthesis
(Choice D)
D
3(33-15f+12b)3(33−15f+12b)3, left parenthesis, 33, minus, 15, f, plus, 12, b, right parenthesis
Answer:
its A and D dont listen to the other person lol
W
Over the last 16 years Johanna saved some of her pay each month. She now has $46000. She decided to invest some of it at 5.25%
Answer:
what is the question?
do you have to find how much she is investing?
what is 4 1/9 + 8 2/3 as a fraction or as a whole or a mixed number?
Answer:
13 7/9
Step-by-step explanation:
You have two mixed numbers right now, so the first step to take would be to add the integers 4 and 8 since those numbers are limited by fractions (1/9 and 2/3 are limited as fractions). This would equal 13, and now you can move on to the fractions 1/9 and 2/3. In order to add those, you will have to find the LCM or the least common multiple, which in this case is 9 since 3 is a multiple of 9 (and 9 is obviously a multiple of 9). Knowing, you would have to convert the 2/3 into something ___/9, which would be 6/9. Adding those two together would result in 7/9. Combine that with the integer 13, and you have 13 7/9. Hope this helps!
Jeff is buying books at a used booksttore.He wants to approximate the total cost of his purchase before checking out
The perimeter of the surface of a workbook is 46 inches. It is 13 inches tall. How wide is it?
Answer:188
Step-by-step explanation:
u have to add all the side which is 46+46+13+13=188
can someone help me with this and i have more of these i need help on
Answer:
Square
Step-by-step explanation:
Hope this helps!
Answers:
Choice A) SquareChoice B) PentagonChoice D) TrapezoidChoice E) HexagonChoice F) RectangleChoice G) TriangleIn other words, it's nearly everything except choice C (octagon).
==========================================================
Explanation:
Search out "Cross sections of a cube" and you'll see visual examples of what is possible.
Here are the list of possible cross sections
SquarePentagonTrapezoidHexagonRectangleTriangleA parallelogram is also possible, but that isn't one of the listed choices so we can ignore it. The triangle can either be equilateral or won't be, depending how the cross section plane is oriented.
Nearly every box is checked except for the octagon, because we simply don't have enough faces to get 8 sides needed for the cross section.
i really need help with multiple of these questions if u get them right please help with more (multiple questions )
Answer:
D. 19.25^2
Step-by-step explanation:
A = 5.5
H = 3.5
A = 19.25^2
What is the volume of a right circular cylinder with a base diameter of 18 yd and a height of 3 yd?
Enter your answer in the box. Express your answer using π.
I've seen people answer with 763.4yd^3 or 254pi yd^3 . Please answer if you know 100%. Also please show your work.
Answer:
[tex]V=763.407[/tex] yd^3
Step-by-step explanation:
Formula for volume of right circular cylinder.
[tex]V=\pi r^{2}*6[/tex]
[tex]r=\frac{d}{2}[/tex]
We are given the diameter (d) and the height (h).
First solve for r.
[tex]r=\frac{18}{2}[/tex]
[tex]r=9[/tex]
Now we have everything we need to find the volume. Plug in r into the volume formula.
[tex]V=\pi *9^{2} *3[/tex]
[tex]V=763.407[/tex] yd^3
The perimeter of a rectangular field is 370 yards. If the length of the field is 98 yards, what is its width?
Answer:
87
Step-by-step explanation:
Show the problem on a number line:
4(-2) =
Answer:
-8
Step-by-step explanation:
This is the same as 4 x -2.
The parenthesis just means to multiply the number to the left by whatver is in the paranthesis when it is touching like that.
M6003
Which expression shows 48 +66 rewritten as the greatest common factor multiplied by the sum of two
1.
numbers?
OA. 3(16 +22)
OB. 3(45 + 63)
O C. 6(8 + 11)
O D. 6(42 + 60)
The expression is rewritten as the greatest common factor multiplied by the sum of two numbers is: 6*(8 + 11)
How to rewrite the expression?
First, we need to find the greatest common factor between 48 and 66.
To find it, we can write both of these as a product of its prime factors, we get:
48 = 2*24 = 2*2*12 = 2*2*2*6 = 2*2*2*2*3
66 = 2*33 = 2*3*11
The greatest common factor that we can make is 2*3 = 6
Then we rewrite the numbers as:
48 = 6*8
66 = 6*11
Now we can rewrite our expression:
48 + 66 = 6*(8 + 11)
So the correct option is C
If you want to learn more about common factors, you can read:
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Nicole walked 10 blocks north from her house to her friend's house. After visiting, Nicole walked 10 blocks south back to her house. How far was Nicole from her starting place?
The Answer is D Nicole walked back to her house 10-10=0 So, the answer is D
Yes, I guess so.
Hope this helps!
Answer:
yea actually what if she turned?- but yea its 0 so D
Step-by-step explanation:
Solve the system of equations. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and
determine whether the system is inconsistent, or the equations are dependent.
- 2x + 6y + 3: = -31
- 3y + 7: = 59
2- = 10
Da
믐
Х
6
The system has one solution.
The solution set is {C10}
The system has no solution.
The system is inconsistent.
The equations are dependent.
The system has infinitely many solutions
The system is inconsistent
The equations are dependent
Continue
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The value of x, y and z from the system of equation are -1, -8 and 5 respectively.
Data;
-2x + 6y + 3z = -31-3y + 7z = 592z = 10System of EquationTo solve this problem, we have to solve the system of equation using substitution method.
From equation (iii)
[tex]2z = 10\\z = 5[/tex]
let us substitute the value of z into equation (ii)
[tex]-3y + 7z = 59\\z = 5\\-3y + 7(5) = 59\\-3y + 35 = 59\\-3y = 59 - 35\\-3y = 24\\y = -8[/tex]
Let's substitute the value of x and y into equation (i)
[tex]-2x + 6y + 3z = -31\\y = -8, z = 5\\-2x + 6(-8) + 3(5) = -31\\-2x - 48 + 15 = -31\\-2x - 33 = -31\\-2x = -31 + 33\\-2x = 2\\x = -1[/tex]
From the calculation above, the value of x, y and z are -1, -8 and 5 respectively.
Learn more on system of equations here;
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A data set is normally distributed with a mean of 63 and a standard deviation of 10.4.
What percentage of the data is between 45 and 77?
Enter your answer as a number to the nearest whole percentage, like this: 42%
Answer:
87%
Step-by-step explanation:
The percentage of normally-distributed data between 45 and 77 in a data set with mean 63 and standard deviation 10.4 can be found by any of a number of calculators, apps, web sites, or spreadsheets.
The percentage is 87%.
