[tex]9 \geqslant w \\ \\ - 7 \leqslant w[/tex]
"9 is greater than or equal to w" translates to [tex]9 \ge w[/tex] which flips to [tex]w \le 9[/tex]. We swap both sides and flip the inequality sign as well.
"-7 is less than or equal to w" translates to [tex]-7 \le w[/tex]
We have [tex]-7 \le w[/tex] and [tex]w \le 9[/tex] which then ultimately combine into the compound inequality [tex]-7 \le w \le 9[/tex]
Final Answer: [tex]-7 \le w \le 9[/tex]ni
Critique Patrick thinks that when a is a negative integer and b is a positive
below and decide whether they are true or false. For statements that are true, give
integer, each of the following statements is always true. Read the statements
an example to support Patrick's claim. For statements that are false, give a
counterexample.
a. 0-b is positive.
b.
b. b-a is positive.
100
60-(-6) is negative.
80
Answer:
Step-by-step explanation:
Patrick thinks that when 'a' is a negative integer and 'b' is a positive,
Let "a = -2" and "b = 3"
a). a - b is positive.
a - b = -2 - 3
= -5 {negative]
Therefore, statement is False.
(a - b) is negative.
b). b - a is positive.
b - a = 3 - (-2)
= 3 + 2
= 5 [Positive]
Statement is True.
c). a - (-b) is negative.
a - (-b) = a + b
= -2 + 3
= 1 [Positive]
False.
But it's true when a = -5 and b = 3
a - (-b) = -5 - 3
= -8 [Negative]
which of the following points lies in the solution set to the system of inequalities shown below
y = -4
y ≤ 10
———————————————
(1) (-4, 10)
(2) (-2, 7)
(3) (2, 14)
(4) (-6, 2)
thank you in advance:))
Answer:
1,2, and 4
Step-by-step explanation:
I attached a picture with the graph
y= -4 is a straight horizontal line (red line) and
y≤10 will give a horizontal line passing trough y=10 (blue line)
the solution is all points under and on the line y=10
1, 2, and 4 are part of the solution set
(the blue area is the solution of the system of equations)
Answer:
( - 2, 7 )
Step-by-step explanation:
Write the ratio:
450
to
200
as a fraction in lowest terms.
Answer:
The ratio 450 : 200 can be reduced to lowest terms by dividing both terms by the GCF = 50 :
450 : 200 = 9 : 4
Therefore:
450 : 200 = 9 : 4
basically 9/4
Step-by-step explanation:
The terminal point of 0 is (|3/2, 1/2). What is 0 if 0 <\ 0 < 360?
A. 60
B. 30
C. 45
D. 15
A cook has 4 cups of raisins to make oatmeal cookies. The recipe requires 3 cup of raisins for each
batch of cookies. How many batches of cookies can the cook make?
Answer: 1⅓ batch of cookies
Step-by-step explanation:
From the question, we are given the information that a cook has 4 cups of raisins to make oatmeal cookies and that the recipe requires 3 cup of raisins for each batch of cookies.
Therefore, the number of batches of cookies that the cook can make will be the number of cups of rasins that the cook has divided by the number of reasons needed for each cookie. This will then be:
= 4/3
= 1⅓ batch of cookies
Please help me i need the answer right now. The lesson is Rational Root Theorem.
Step-by-step explanation:
1. The length is one more thrice it's width. The height is 4 more than it width. We can represent the
x+4.(3x+1)(x)The volume is 720.Volume of Rectangular prism is LxWXH. So the volume is equal to the terms all multiplied. which is[tex](3x + 1)(x + 4)[/tex]
[tex](3 {x}^{2} + 13x + 4)x = 720[/tex]
Multiply it by x.
[tex]3 {x}^{3} + 13 {x}^{2} + 4x = 720[/tex]
[tex] 3{x}^{3} + 13 {x}^{2} + 4 x - 720[/tex]
The possible roots
The possible roots are plus or minus is1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, and 720. By a long list of substitution, 5 is a root. So this means that x=5. So the width has to be
[tex]x = 5[/tex]
2. First. we apply the Rational Root Theorem so the possible roots are plus or minus 1,2,3,6.
Let check via synethic division to see which are roots.
Let try 1 and -1 first. If we plug 1 into the equation, we get
[tex]1 - 2 - 5 + 6 = 0[/tex]
So 1 or (x-1) is a solution. Since it's a solution we can divide this into our original polynomial to get us a new polynomial that is more simplified. If we apply synthetic division, we get a new polynomial in
[tex] {x}^{2} - x - 6[/tex]
We can then factor this into
[tex](x - 3)(x + 2)[/tex]
So our roots or factors is
[tex](x - 1)(x - 3)(x + 2)[/tex]
Gloria is designing an outdoor garden for her client and needs to find the
perimeter of the total shape. Write an expression that would represent the
total perimeter so Gloria can buy enough plants to go around the entire
shape.
Show work here: (Make sure answer is in simplified form)
Answer:
21x+4
Step-by-step explanation:
X’s: 21x
#’s: 4
So it will be 21x+4
which graph matches the linear equation x-3y=6
Step-by-step explanation:
x-3y=6
-3y=6-x
3y=x-6
y=x/3-2
option 4 is the answer
(4x-1)²-(4x-3) x (16x²+3)
Answer:
-64x^3 +64x^2-20x+10
Step-by-step explanation:
simplify, distribute
(btw, the little arrow sign means a exponent)
If a pine tree grows 3 inches per year,how long will it take for the tree to reach a height of 8 feet
Answer:
32 years
Step-by-step explanation:
8x12 because there are 12 inches in a foot
8x12=96
96/3
96/3=32
Answer:
32 years
Step-by-step explanation:
y = years
1 foot = 12 inches
12 × 8 = 96
Now, plug in random numbers into the expression below to find how long it takes for the tree to grow 8 feet.
3y
3 × 10 = 30
3 × 20 = 60
3 × 30 = 90
3 × 31 = 93
3 × 32 = 96
It will take the pine tree 32 years to grow 8 feet, or 96 inches.
Please help ASAP!!!!! What is m
Answer:
2875
Step-by-step explanation:
Victor had dozen boxes with n number of water bottles in each box.After removing dozen bottles, there were 84 bottles.Find the number of bottles in each box.
Answer:
There are 8 bottles in each box.
Step-by-step explanation:
Victor has 12 boxes with 'n' number of water bottles in each box.
A dozen is same as 12.
Now, 12 boxes and each with 'n' number of bottles. Total number of bottles in '12' boxes is 12n bottles.
Now, it is removing 12(a dozen) bottles from 12n bottles which gives 84.
So, 12n -12=84
Add both sides 12
12n= 96
Divide both sides by 12
n=8
So, there are 8 bottles in each box.
The general form of the equation of a circle is x2 + y2 + 42x + 38y − 47 = 0. The equation of this circle in standard form is
.
The center of the circle is at the point
, and its radius is
units.
The general form of the equation of a circle that has the same radius as the above circle is
.
Answer:
Step-by-step explanation:
x² + y² + 42x + 38y - 47 = 0
Put the equation into standard (center-radius) form:
regroup terms
(x²+42x) + (y²+38y) = 47
complete the squares:
(x²+42x+21²) + (y²+38y+19²) = 47 + 21² + 19²
(x+21)² + (y+19)² = 849
center at (-21,-19)
radius = √849 units
The general form of the equation for a circle with radius √849 units is:
(x-h)² + (y-k)² = 849
where the (h,k) is the center.
The following table gives a partial set of values of a polynomial function.
x –2 –1 0 1 2 3
g(x) –14 –2 0 –4 –6 2
Between which two values would a relative maximum most likely occur?
–2 and 0
–1 and 1
0 and 2
1 and 3
The values of x between which the relative maximum occurs is between the x-values; -1 and 1
The known parameters;
The table of the partial set of the polynomial values is presented as follows;
[tex]\begin{array}{rcr}\mathbf{x}&&\mathbf{g(x)}\\-2&&-14\\-1&&-2\\0&&0\\1&&-4\\2&&-6\\3&&2\end{array}[/tex]
From the table above, we have that g(x) is maximum (g(x) = 2) when x = 3
Method;
Define and find the relative maximum
The relative maximum of a function, is given by a point where the graph of the function changes direction from 'continuously' increasing values of the function before the point to 'continuously' decreasing values of the function after the point
From the table, at x = -2, -1, 0, g(x) = -14, -2, 0, and is therefore, increasing
Where, x = 0, 1, 2, we have g(x) = 0, -4, -6, therefore, g(x) is decreasing
The maximum value of g(x), in the region where g(x) changes from increasing to decreasing is g(x) = 0, which is given between the x-values of -1 and 1
Therefore, the relative maximum is most likely to occur between the values of x = -1, and x = 1, which is the option -1 and 1
Learn more about relative maximum here;
https://brainly.com/question/2321623
Find the value of 3cubed - (4)(2)
Answer:
[tex]1[/tex]
Step-by-step explanation:
Step 1: Find the value
[tex]3^{3} - (4)(2)[/tex]
[tex]9 - (4)(2)[/tex]
[tex]9 - 8[/tex]
[tex]1[/tex]
Answer: [tex]1[/tex]
the correct answer is BBBBBBBBB
Find the place value of 4 in 5846.
Answer:
Hundreds
Step-by-step explanation:
It is the third number in this bigger one, going from the left you can see it's in the hundreds place.
A wholesaler sold an electric item to a retailer at 20 % profit. The retailer sold it at Rs.2052 to a customer at 5% loss.
i) How much did the retailer pay for it?
ii) How much did the wholesaler pay for it?
pls on full process
will mark as a brainlist
Answer:
i) 2160
ii) 1800
Step-by-step explanation:
so, the retailer sold the item for 2052, if I understand the problem description correctly.
and with this sale price, he actually made a loss of 5%.
so, 2052 are actually only 95% of what he himself paid the wholesaler for it.
2052 = 95%
1% = 2052/95 = 21.60
100% (the whole price the retailer paid to the wholesaler) = 21.60 × 100 = 2160
so, now, these 2160 have the wholesaler a profit from his perspective of 20%.
that means this price includes the 20% profit margin.
2160 = 120%
1% = 2160 / 120 = 18
100% (the price the wholesaler originally paid) = 18 × 100 = 1800
(x+2)(2x+1)+(x+2)(2x-3) factorizar
Answer:
(x + 2)(4x - 2).
Step-by-step explanation:
(x+2)(2x+1)+(x+2)(2x-3)
Note that (x + 2) is common to 2 parts of the expression. So we have:
(x + 2)(2x + 1 + 2x - 3)
= Ix + 2)(4x - 2)
For which distributions is the median the best measure of center?
Select each correct answer.
Answer:
it will be the correct answer..
because
The median is the most informative measure of central tendency for skewed distributions or distributions with outliers. For example, the median is often used as a measure of central tendency for income distributions, which are generally highly skewed.
What is the volume??
Answer:
245 cm³
Step-by-step explanation:
Volume of a triangle = length x width x height / 3
7 x 7 x 15 = 735
735/3 = 245
volume of a triangle =length×width height 3
7×7×15=735
735/3=24
greatest common factor of 26m^4n^2, m^2n
Step-by-step explanation:
Hey there!
Given;
[tex]1st \: expn = 26 {m}^{4} {n}^{2} [/tex]
= 2*13 m⁴ n²
2nd expn = m² n
Therefore, greatest common factor is; m²n.
Hope it helps!
PLEASE HELP URGENT!! IN PICTURE
Angle ECD and Angle FDC are same-side interior angles. They lie on the same side of the transversal and are on the inside of the two parallel lines. Same-side interior angles are supplementary, meaning that they add up to 180.
(40x + 15) + (5x + 30) = 180
45x + 45 = 180
45x = 135
x = 3
Angle ECD = 40(3) + 15 = 120 + 15 = 135
Angle FDC = 5(3) + 30 = 15 + 30 = 45
Hope this helps!
(edge) The linear function that is represented by which table has the same slope as the graph?
On a coordinate plane, a line goes through points (0, negative 3) and (2, 1).
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 25, negative 21, negative 17, negative 13, negative 9. Column 2 is labeled y with entries negative 9, negative 7, negative 5, negative 3, negative 1.
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 25, negative 21, negative 17, negative 13, negative 9. Column 2 is labeled y with entries 9, 7, 5, 3, 1.
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 9, negative 7, negative 5, negative 3, negative 1. Column 2 is labeled y with entries negative 25, negative 21, negative 17, negative 13, negative 9.
A 2-column table with 5 rows. Column 1 is labeled x with entries 1, 3, 5, 7, 9. Column 2 is labeled y with entries negative 9, negative 13, negative 17, negative 21, negative 25.
Answer: is 3
Step-by-step explanation:
Very easy man !!!
Stacy spent £18 on ingredients for bread.
She made 12 loaves and sold them for £1.80 each.
Calculate her percentage profit.
Which expression is a polynomial
Answer:
[tex]4x^3-2x^2+5x-6+\frac{1}{x}[/tex] is a polynomial
Step-by-step explanation:
a polynomial is a set of numbers with multiple terms that are not simplify able
[tex]9x^7y^{-3} z[/tex] is not a polynomial because its actually one term, there is no addition/subtraction of different terms.
-13 is a single number, so not a polynomial
13x^-2 is also a single number, not a polynomial
i’ve came so far and i’m almost there please help!
Answer:
what the product of 2 and 3
Can someone help you
Answer:
16ml is the answer.......mmmm...
Halla el conjunto solución del siguiente sistema de ecuaciones aplicando el método de reducción: 2x + 3y = 8 x – 5y = 6
Answer:
x = 7.535 and y = 0.307
Step-by-step explanation:
Given that,
Two equations,
2x + 3y = 8 ...(1)
x – 5y = 6....(2)
Multiply equation (2) by -2.
-2x + 10y = -12....(3)
Now, adding equations (1) and (2),
2x + 3y -2x + 10y = 8-12
13y = 4
y = 0.307
Put the value of y in equation (2).
x – 5(0.307) = 6
x = 6 + 1.535
x = 7.535
So, the solutions of the given equation are x = 7.535 and y = 0.307.
{{{{Help Please please}}}}
Given the circle with equation x+ y =17
a). Determine if the points D(-4, -1) and E(1, 4) are on the circle. Show all work
b). Find the equation of the perpendicular bisector of the chord DE
c). Verify that the perpendicular bisector from part b) passes through the center of the circle
{{{{Help Please please}}}}
Answer:
Circles have equations such as: (x -h)² + (y -k)² = radius²
You need terms raised to the power of 2
Step-by-step explanation:
John has a cylindrical water tank in his house with a 4 m radius and 15 m height. The cost of filling the water in the tank is $0.5 per cubic meter. What would be the cost of filling the complete tank? (Use pi = 3.14)
Answer:
$377
Step-by-step explanation:
Volume of a cylinder is;
V = πr²h
Where;
r is radius
h is height
We are given;
radius; r = 4 m
Height; h = 15 m
Thus;
V = π × 4² × 15
V = 753.9822 m³
Cost of filling the tank is $0.5 per m³.
Thus, total cost to fill this tank is;
C = 0.5 × 753.9822
C = 376.9911
C ≈ $377
