Answers
Answer:
(iv) b
(v) c
(vi) d
Step-by-step explanation:
The first two questions have to with understanding the meaning of the English words. (It's reading comprehension.)
__
(iv) "no larger than 10" means "less than or equal to 10"
(b) x ≤ 10
__
(v) "at most 1600" means "less than or equal to 1600"
(c) c ≤ 1600
__
(vi) A value of x will be a solution to the inequality if substituting it into the inequality results in a true statement. Here, using x=0 effectively eliminates the x-term from the inequality.
(a) 0 > 0 . . . false
(b) 5 < 0 . . . false
(c) 2 < 0 . . . false
(d) -2 < 0 . . . true
Related Questions
Please help me find x
|x+8|=x+8
Answers
square two sides
x+8=(x+8)2
x+8=x2+16x+64
x2+16x+64-x-8=0
x2+15x+56
then rule a2+-l
Inez bought a shipping container at a packing store
Answers
Answer: ok? whats the question
Step-by-step explanation:
Answer:
I think u forgot to mention the question?
Step-by-step explanation:
find the measure of angles 2, 3, and 4. input the measures then click done. i-ready
please help i missed a day of class i cant figure this out
Answers
Answer:
m∠2 = 95°
m∠3 = 85°
m∠4 = 95°
Step-by-step explanation:
Vertical Angle Theorem:
When two straight lines intersect, the opposite vertical angles formed are always equal (congruent) to each other.
Therefore,
m∠3 = 85°
m∠2 = m∠4
Linear pair:
Two adjacent angles which, when combined, form a line, so the sum of a linear pair is 180°.
Therefore,
85° + m∠2 = 180°
m∠3 + m∠4 = 180°
If 85° + m∠2 = 180°
⇒ m∠2 = 180° - 85°
⇒ m∠2 = 95°
As m∠2 = m∠4 then m∠4 = 95°
Find the vertex of this parabola:
y = -x2 + 6x – 15
Answers
[tex]y = - x {}^{2} + 6x - 15[/tex]
[tex]y {}^{ \gamma } = - 2x + 6[/tex]
[tex]y {}^{ \gamma } = 0[/tex]
[tex] - 2x + 6 = 0[/tex]
[tex] - 2x = - 6[/tex]
[tex]2x = 6[/tex]
[tex]x = 3[/tex]
Substitute x=3 in y=-x²+6x-15[tex]y = - (3) {}^{2} + 6(3) - 15[/tex]
[tex]y = - 9 + 18 - 15[/tex]
[tex]y = - 9 + 3[/tex]
[tex]y = - 6[/tex]
Vertex: (3,-6)
[tex]==============================[/tex]
In order to find the vertex of a parabola, we use the following formula:
[tex]\mathfrak{\displaystyle\frac{-b}{2a} }[/tex]
Please remember that a parabola looks like this:
[tex]\tt{y=ax^2+bx+c}[/tex]
Now you know what a and b stand for.
In this case, a = -1, and b is 6:
[tex]\mathfrak{\displaystyle\frac{-6}{2(-1)} }[/tex]
Simplify:
[tex]\mathfrak{\displaystyle\frac{-6}{-2}}[/tex]
[tex]\mathfrak{3}\\=======================================[/tex]
Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!Always remember: Knowledge is Power :)Answered by[tex]\mathcal{DiAmOnD}\\\tt{A~Creative~Helper}}}}[/tex]
a retail owner can but a certain clock at an average price of $53 per clock and sell them for an average price of $84 per clock. his fixed costs are $8000 per month and his variable cost is $5 per clock. (A) how many clocks must he sell each month to break even? (B) how many clocks must he sell to have a profit of $3000?
Answers
Answer:
(A) 308 clocks
(B) 423 clocks
Step-by-step explanation:
The contribution margin is the amount by which the selling price of the clock exceeds the cost of the clock. The contribution margin is used to figure the break-even point, and the amount of profit from sales.
contribution margin = selling price - variable cost - purchase price
contribution margin = $84 -5 -53 = $26
__
(A)To break even, the contribution margin from 'b' clocks must equal or exceed the owner's fixed cost:
26b ≥ 8000
b ≥ 8000/26
b ≥ 307.7
The owner must sell 308 clocks each month to break even.
__
(B)To make a profit of $3000, the owner must sell enough clocks to cover the $8000 fixed cost and contribute an additional $3000. That is, the total contribution margin from selling p clocks must be about $3000+8000 = $11000.
26p ≈ 11000
p ≈ 11000/26 ≈ 423.08
The owner must sell about 423 clocks each month to earn a profit of about $3000.
__
Additional comment
Selling 423 clocks will yield a profit of $2998.
R\ {0}→→ Ris defined by Jff: 1 f(x)=x³-1/x³-1then show that 2 f(x) + f(1/x)=0.
Answers
[tex]\orange\bigstar \bold{ solution}[/tex]
[tex]\bold{f(x) = x³ - \frac{1}{x³ } }[/tex]
[tex]\bold{f ( \frac{1}{x} )= \frac{1}{x³} -x³ } [/tex]
[tex]\bold{f (x) + f (\frac{1}{x}) = (x³- \frac{1}{x³} ) + ( \frac{1}{x³} -x³)}[/tex]
[tex]\bold{ = 0 }[/tex]
An ellipse has a vertex at (0, −7), a co-vertex at (4, 0), and a center at the origin. Which is the equation of the ellipse in standard form?
Answers
Answer:
As Per Provided Information
An ellipse has a vertex at (0, −7), a co-vertex at (4, 0), and a center at the origin (0,0) .
We have been asked to find the equation of the ellipse in standard form .
As we know the standard equation of an ellipse with centre at the origin (0,0). Since its vertex is on y-axis
[tex] \underline\purple{\boxed{\bf \: \dfrac{ {y}^{2} }{ {a}^{2} } \: + \: \dfrac{ {x}^{2} }{ {b}^{2} } = \: 1}}[/tex]
where,
a = -7 b = 4Substituting these values in the above equation and let's solve it
[tex] \qquad\sf \longrightarrow \: \dfrac{ {y}^{2} }{ {( - 7)}^{2} } \: + \dfrac{ {x}^{2} }{ {(4)}^{2} } = 1 \\ \\ \\ \qquad\sf \longrightarrow \: \dfrac{ {y}^{2} }{49} \: + \frac{ {x}^{2} }{16} = 1 \\ \\ \\ \qquad\sf \longrightarrow \: \: \dfrac{ {x}^{2} }{16} \: + \dfrac{ {y}^{2} }{49} = 1[/tex]
Therefore,
Required standard equation is x²/16 + y²/16 = 1So, your answer is 2nd Picture.
416
Chapter 7 Graphing and Functions
16. 2y - 5 = 0
ху
Answers
Answer:
y=2
Step-by-step explanation:
add 5 to 0 then divide 5 with 2
what is the area of the triangle
Answers
Answer:
6
Step-by-step explanation:
A=(bh)/2
a=(4*3)/2
a=12/2
a=6
Answer: 12 units 2
Step-by-step explanation:base times hight
6 cm
8 cm
13 cm
5.3 cm
-
What is the surface area?
Answers
Answer:
The surface area of what
pls try to send the image.
help I'm confused like always
Answers
Answer:
negative
Step-by-step explanation:
The good part about this question is you don't have to know the actual values of b or c, otherwise, I would be stumped too.
Given:
b is within 0 -> 1 b is positive
c is within -1 -> -2, c is negative
[tex]\frac{b}{c}[/tex] = b/c. When you have a fraction and one numerator is positive while the denominator is negative (or visa-versa, numerator is negative and denominator is positive), then the answer will ALWAYS be negative
so +b/-c = negative result
Factor each completely.one zero has been given
f(x)=x^3-4x+16;-2
F(x) = X^4+ 2x^-13x^2 -10x + 40;2
F(x)=x^3-3x^2-13x+15;-3
F(x)=x^4-8x^3+19x^2-12x;3
Answers
The polynomials in factored form are listed below:
f(x) = (x - 3.043) · (x - 1.521 - i 1.716) · (x - 1.521 + i 1.716) f(x) = (x - 2.236) · (x - 2) · (x + 2.236) · (x + 4)f(x) = (x + 3) · (x - 5) · (x - 1)f(x) = (x - 4) · (x - 3) · (x - 1) · xHow to factor polynomialsIn this question we must factor polynomials as there are both numerical and analytical methods. Mathematically speaking, factoring polynomials is represented by the following formula:
[tex]\sum^{n}_{i = 0} \,c_{i}\cdot x^{i} = \prod^{n}_{i=1}(x-r_{i})[/tex], [tex]\forall\,x, r_{i}\in \mathbb{C}[/tex] (1)
Where:
[tex]c_{i}[/tex] - [tex]i[/tex]-th Coefficient[tex]r_{i}[/tex] - [tex]i[/tex]-th RootRegarding fourth order polynomials we can solve them by Ferrari's method and third order polynomials by Descartes' method. Then, the solutions of each polynomials are given below:
Polynomial 1 ([tex]f(x) = x^{3}-4\cdot x +16[/tex])f(x) = (x - 4) · (x - 3) · (x - 1) · x
Polynomial 2 ([tex]f(x) = x^{4}+2\cdot x^{3}-13\cdot x^{2}-10\cdot x + 40[/tex])f(x) = (x - 2.236) · (x - 2) · (x + 2.236) · (x + 4)
Polynomial 3 ([tex]f(x) = x^{3}-3\cdot x^{2}-13\cdot x +15[/tex])f(x) = (x + 3) · (x - 5) · (x - 1)
Polynomial 4 ([tex]f(x) = x^{4}-8\cdot x^{3}+19\cdot x^{2}-12\cdot x[/tex])f(x) = (x - 4) · (x - 3) · (x - 1) · x
To learn more on polynomials, we kindly invite to check this verified question: https://brainly.com/question/17822016
If 35% of a number is 56 and 25% of the same number is 40 find 60% of that number
Answers
35%= 56
100%= 56÷35×100
100%= 160
25%= 40
100%= 40÷25×100
100%= 160
60%= 160÷100×60
60%= 96
Help!!!
Rationalize the denominator of;
[tex]1) \frac{1}{ \sqrt{7} } [/tex]
[tex]2) \frac{2}{ \sqrt{3} - \sqrt{2} } [/tex]
[tex]3) \frac{ \sqrt{6} + \sqrt{3} }{9 + 2 \sqrt{18} } [/tex]
Answers
Answer:
see below for explanation:-
Step-by-step explanation:
#1
[tex] \displaystyle{ \frac{1}{ \sqrt{7} } }[/tex]
[tex]\displaystyle{ \frac{1}{ \sqrt{7} } \times \frac{ \sqrt{7} }{ \sqrt{7} } }[/tex]
[tex]\displaystyle{ \frac{ \sqrt{7} }{7} }[/tex]
#2
[tex]\displaystyle{ \frac{2}{ \sqrt{3} - \sqrt{2} } }[/tex]
[tex]\displaystyle{ \frac{2}{ \sqrt{3} - \sqrt{2} } \times \frac{ \sqrt{3} + \sqrt{2} }{ \sqrt{3} + \sqrt{2} } }[/tex]
[tex]\displaystyle{ \frac{2( \sqrt{3} + \sqrt{2} }{( \sqrt{3} {)}^{2} - ( \sqrt{ 2 } {)}^{2} } }[/tex]
[tex]\displaystyle{ \frac{2( \sqrt{3} + \sqrt{2} ) }{3 - 2} }[/tex]
[tex]\displaystyle{2( \sqrt{3} + \sqrt{2} )}[/tex]
#3
[tex]\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{9 + 2 \sqrt{18} } }[/tex]
[tex]\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{ 9 + 2 \sqrt{9 \times 2} } }[/tex]
[tex]\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{9 + 6 \sqrt{2} } }[/tex]
[tex]\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{3(3 + 2 \sqrt{2}) } }[/tex]
[tex]\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{3(3 + 2 \sqrt{2}) } \times \frac{3 - 2 \sqrt{2} }{3 - 2 \sqrt{2} } }[/tex]
[tex]\displaystyle{ \frac{3 \sqrt{6} - 2 \sqrt{12} + 3 \sqrt{3} - 2 \sqrt{6} }{3( {3}^{2} - (2 \sqrt{2} {)}^{2} ) } }[/tex]
[tex]\displaystyle{ \frac{ \sqrt{6} - 4 \sqrt{3} + 3 \sqrt{3} }{3(9 - 8)} }[/tex]
[tex]\displaystyle{ \frac{ \sqrt{6} - \sqrt{3} }{3} }[/tex]
Kristy bought some rolls of wrapping paper and 2 bags of bows for less then $10. Each roll of wrapping paper and each bag of bows cost $1.50. Which inequality can be used to find w, the number of rolls of wrapping paper Kristy bought?
Answers
Answer:
[tex]w < 4 \frac{2}{3}[/tex]
Step-by-step explanation:
The inequality symbol for 'less than' is '<'.
Let's relate the cost and the number of each item bought together with an equation.
Total cost
= (number of rolls)(cost of each roll) +(number of bags)(cost per bag of bows)
= w(1.50) +2(1.50)
= 1.5w +3
Now, we can form the inequality.
Since the total cost is less than $10,
1.5w +3< 10
Subtract 3 from both sides:
1.5w < 10 -3
1.5w < 7
Divide both sides by 1.5:
[tex]w < 7 \div \frac{3}{2} [/tex]
[tex]w < 7 \times \frac{2}{3} [/tex]
[tex]w < \frac{14}{3} [/tex]
[tex]\textcolor{red}{w < 4 \frac{2}{3} }[/tex]
A college is building a new basketball court that is 88 feet long and 40 feet wide, but the wood for the court comes only in 8-meter planks that are 10 centimeters wide. How many planks are needed to surface the court?
Answers
Answer:
2816
Step-by-step explanation:
Cm to m is divide by 100
10 / 100 = 0.1.
0.1 x 8 = 0.8
40 x 88 = 3520
3520 / 0.8 = 2816
The circle graph shows how Lila spent her after-school time during the month of October.
Part A
If Lila spent a total of 92 hours on these activities in the month of October. How much time did she spent at Yoga?
Answers
Using proportions, it is found that she spent 25.76 hours at Yoga.
What is a proportion?A proportion is a fraction of a total amount.
Researching the problem on the internet, it is found that the circle graph shows that she spent 28% of her time of 92 hours on yoga, hence:
h = 0.28 x 92 = 25.76.
Hence, she spent 25.76 hours at Yoga.
More can be learned about proportions at https://brainly.com/question/24372153
find the average of the following numbers -34 and -37
Answers
Answer:
35.5 is the average of 34 and 37
Step-by-step explanation:
Answer:
-35.5
Step-by-step explanation:
-34 + -37 = -71
-71/2 = -35.5
I hope this helps!
What is the value of the
expression? 1 7/8 - 6/4
Answers
Rewriting our equation with parts separated
1+7/8−6/4
Solving the fraction parts
7/8 - 6/4?
Find the LCD of 7/8 and 6/4 and rewrite to solve with the equivalent fractions.
LCD = 8
7/8−1 2/8=−58
7
8
−
12
8
=
−
5
8
Combining the whole and fraction parts
1−5/8=3/8
PLEASE HELP!!! TOTAL 50 POINTS IF GIVEN BRAINLIEST ANSWER!!!
Find the average value of the function f over the given region.
f(x, y) =10x +3y over the triangle with vertices (0, 0), (9, 0), and (0, 2).
Answers
The average value of f(x, y) over the given region (I'll call it T) is
[tex]\dfrac{\displaystyle \iint_T f(x,y) \, dA}{\displaystyle \iint_T dA}[/tex]
In other words, it's the ratio of the integral of f(x, y) over the region to the area of the region.
The set T can be expressed as
[tex]T = \left\{(x,y) \,:\, 0\le x\le9 \text{ and } 0\le y\le -\dfrac29x+x\right\}[/tex]
Since it's a triangle, the denominator is easily computed to be
[tex]\displaystyle \iint_T dA = \frac12 \times 9 \times 2 = 9[/tex]
In the numerator, we have
[tex]\displaystyle \iint_T (10x+3y) \, dA = \int_0^9 \int_0^{-2x/9+2} (10x+3y) \, dy \, dx \\\\ = \int_0^9 \left(\frac32\left(-\frac{2x}9+2\right)^2+10x\left(-\frac{2x}9+2\right)\right) \, dx = 288[/tex]
and hence the average value is 288/9 = 32.
Perform the indicated operation & simplify.
Answers
[tex](8-15i) +(11+24i) = 19+9i\\\\(8-15i)-(11+24i)=-3-39i=-3(1+13i)[/tex]
Is the table a linear or exponential function?
Answers
The table represents linear because the x represent the exponential functions
A movie theater charges 9.00 for adults and $3.00 for senior citizens. On a day when 306 people paid for admission, the total receipts were $1554. How many who
paid were adults? How many were Seniors?
Answers
Answer: 2495
Step-by-step explanation:
9x + 7(325)-7x = 2495
2x = 220
x = 110 adults and 215 senior citizens
CHECKING our answer***
$990 + $1505 = $2495
Wish You the Best in your Studies.
Which of the following number sentences is an example of the associative property? Select all that apply.
[tex](1\frac{2}{5}*3\frac{1}{2} )*4=1\frac{2}{5} (3\frac{1}{2} *4)[/tex]
[tex]2.5*(1.8+6.3)=(2.5*1.8)+(2.5*6.3)[/tex]
10(4.6 × 3) = (10 × 4.6) × 3
6.3 × 1 = 6.3
Answers
Associative property:-
a+(b+c)=(a+b)+cLets check one by one
#1
Here the rule is
(ab)c=a(bc)Hence Yes associative property
#2
Here the rule is
a(b+c)=ab+acHence no it's distributive property
#3
a(bc)=(ab)cYes
#4
ab=baNo
Associative property meaning rearranging the parentheses in an expression which will not change the result.
✔A)
[tex]\rightarrow \sf (1\dfrac{2}{5} \ x \ 3\dfrac{1}{2} ) \ x \ 4 = 1\dfrac{2}{5} (3\dfrac{1}{2} \ x \ 4 )[/tex]
[tex]\rightarrow \sf \dfrac{98}{5} = \dfrac{98}{5}[/tex]
This uses associate property as it is rearranged in a different way and result same.
B)
[tex]\rightarrow \sf 2.5 \ x \ (1.8 +6.3) = (2.5 \ x \ 1.8)+(2.5 \ x \ 6.3 )[/tex]
This property is called distributive property. a(b + c) = a(b) + a(c)
✔C)
[tex]\sf \rightarrow 10(4.6 \ x \ 3) = (10 \ x \ 4.6) \ x \ 3[/tex]
[tex]\sf \rightarrow 138 = 138[/tex]
associate property as the following is rearranged inside the parentheses
D)
[tex]\rightarrow \sf 6.3 \ x \ 1 = 6.3[/tex]
This does not fall under any method or else multiplicative identity property.
What is the initial value & rate of change of the table
Weeks. Dollars
0. 10
2 20
4 30
6 40
Answers
Answer:
y = 10
rate of change = 5
Step-by-step explanation:
The initial value is the beginning output value, i.e. the y-value when x = 0
Therefore, the initial value is y = 10
rate of change = change in y ÷ change in x
⇒ rate of change = (40 - 30) ÷ (6 - 4)
= 10 ÷ 2
= 5
take two points : (0, 10), (2, 20)
rate of change:
[tex]\rightarrow \sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\rightarrow \sf \dfrac{20-10}{2-0}[/tex]
[tex]\rightarrow \sf 5[/tex]
equation :
y - 10 = 5 ( x - 0 )
y = 5(x) + 10
so initial value:
y = 5(0) + 10
y = 10
What is the volume of a rectangular prism that is 4 ft. by 12 ft. by 6 ft.? Question 21 options: 324 ft.³ 205 ft.³ 288 ft.³ 315 ft.³
Answers
Answer:
288 ft³
Step-by-step explanation:
The formula to find the volume of a rectangular prism is :
Volume = length × width × height
Let us find it now.
Volume = 4 ft × 12 ft × 6 ft
Volume = 48 ft² × 6 ft
Volume = 288 ft³
Graph the circle (x+5)^2+(y+2)^2=4
Answers
(x+5)² + (y+2)² = 4
(x - x0)² + (y - y0)² = r²
with circle center point (x0 ; y0) and r for circle radius
so you have to place the point (- 5 ; - 2) and graph the circle with r = 2
If the distance from C to C’ is 8 and the scale factor is 5. What is the distance from A to C?
A. 8/5
B. 5/8
C. 10
D. 2
Answers
Find the mean of the data.
8,14,22,7,2,11,25,7,5,9 PLEASE!!!!!!!!
Answers
Answer:
11
Step-by-step explanation:
To find the mean:
Add up all data values to get the sum then count the number of values in your data set. Lastly, divide the sum by the count.
Solution:
Thus,
2+ 5+7+7+8+9+11+ 14+22+25=110
110/10 = 11
Therefore, the mean is 11.
~lenvy~
Answer:
Step-by-step explanation:
just put them in order from least to greatest then find the middle number
These points are linear.
Find the slope.
X 3 4 5 6 7
y 0 9 18 27 36
slope = [?]