Answer:
(b)
Step-by-step explanation:
This is inverse variation. As y increases (but not allowed to be zero), x decreases. Thus, (b) is correct: y varies inversely with x.
The relation between the variables in the equation x= -3/y. Thus, (b) is correct, y varies inversely with x.
What is directly proportional and inversely proportional relationship?Let there are two variables p and q,
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called constant of proportionality.
This directly proportional relationship between p and q is written as
[tex]p \propto q[/tex]
where, that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
Now let m and n are two variables.
Then, m and n are said to be inversely proportional to each other if
[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]
where c is a constant number called constant of proportionality.
This inversely proportional relationship is denoted by;
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
As , increasing one variable will decrease the other variable if both are inversely proportional.
Here the relation between the variables in the equation x= -3/y;
This is inverse variation, As y increases (but not allowed to be zero), x decreases.
Thus, (b) is correct, y varies inversely with x.
Learn more about directly inversely proportional relationship variable here:
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simplify this expression
Answer:
option 4
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]
Given
(2 - 5[tex]\sqrt{6}[/tex] ) 3[tex]\sqrt{2}[/tex] ← distribute parenthesis by 3[tex]\sqrt{2}[/tex]
= 6[tex]\sqrt{2}[/tex] - 15[tex]\sqrt{12}[/tex]
= 6[tex]\sqrt{2}[/tex] - 15[tex]\sqrt{4(3)}[/tex]
= 6[tex]\sqrt{2}[/tex] - 15([tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] )
= 6[tex]\sqrt{2}[/tex] - 15(2[tex]\sqrt{3}[/tex] )
= 6[tex]\sqrt{2}[/tex] - 30[tex]\sqrt{3}[/tex]
Need help plotting this on a number line
Answer:
Fill in the long -5/2 on the number line and draw a ray extending to the left
Step-by-step explanation:
Which statement is true about the graphs of the two lines y = -4/5x + 2 and y = -5/4x - 1/2?
Statements:
1. The lines are perpendicular to each other because -4/5 and -5/4 are opposite reciprocals of each other.
2. The lines are perpendicular to each other because 2 and -1/2 are opposite reciprocals of each other.
3. The lines are neither parallel nor perpendicular to each other because -4/5 and -5/4 are not opposite reciprocals of each other.
4. The lines are neither parallel nor perpendicular to each other because 2 and -1/2 are not opposite reciprocals of each other.
Answer:
3. The lines are neither parallel nor perpendicular to each other because -4/5 and -5/4 are not opposite reciprocals of each other.
Step-by-step explanation:
Our answer is
3. The lines are neither parallel nor perpendicular to each other because -4/5 and -5/4 are not opposite reciprocals of each other.
Because [tex]-\frac{5}{4}[/tex] and [tex]-\frac{4}{5}[/tex] are not opposite reciprocals because they share the same sign ( - ).
Statement 3 is true. The lines y = -4/5x + 2 and y = -5/4x - 1/2 are neither parallel nor perpendicular to each other because the slopes -4/5 and -5/4 are not opposite reciprocals of each other.
To determine if two lines are perpendicular, we need to compare their slopes. If the slopes are negative reciprocals of each other, the lines are perpendicular.
Let's analyze the slopes of the given lines:
Line 1: y = -4/5x + 2
The slope of Line 1 is -4/5.
Line 2: y = -5/4x - 1/2
The slope of Line 2 is -5/4.
To check if these slopes are negative reciprocals, we need to invert one of the slopes and change its sign. Let's invert the slope of Line 1:
Inverted slope of Line 1: -5/4
The inverted slope of Line 1 is not equal to the slope of Line 2 (-5/4 ≠ -5/4). Therefore, the slopes are not negative reciprocals of each other.
Hence, Statement 3 is true. The lines y = -4/5x + 2 and y = -5/4x - 1/2 are neither parallel nor perpendicular to each other because the slopes -4/5 and -5/4 are not opposite reciprocals of each other.
To know more about slopes, refer here:
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Which of the following are solutions to the inequality below? Select all that apply.
7j > 30
j = 2
j = 8
j = 1
j = 11
Compare and contrast the Angle Angle Similanty Postulate, the Side Side Side Similarity Theorem and the Side Angle
Side Similanty Theorem
Write about the similantes and the differences that you observe.?
Answer:
The similarities are
1) Two triangles are similar when they meet either the (Angle Angle) AA, (Side Side Side) SSS or (Side Angle Side) SAS criteria
2) When two triangles meet either of the above similarity criteria they automatically meet the other similarity criteria
3) The ratio of their equivalent sides are equal such that when ΔABC is similar to ΔDCE we have;
AB/DC = AC/DE = BC/CE
The observed differences are
1) Triangles that meet the SAS and SSS Similarity Theorem criteria can be said to be congruent, that is they have both the same side sizes and angle sizes while triangles that meet only the AA Similarity Postulate criteria may or may not be congruent
2) The number of possible triangles formed by the SAS or SSS Similarity Theorem criteria is only one while the number of possible triangles formed by the AA Similarity Postulate criteria is infinite
3) A triangle that meets either the SAS or SSS Similarity Theorem criteria also meets the AA Similarity Postulate criteria
4) A triangle that meets either the AA Similarity Postulate criteria does not necessarily meet the AA Similarity Postulate criteria.
Step-by-step explanation:
The similarity postulates are;
The Angle Angle Similarity Postulate also known as AA
The Side Side Side Similarity Theorem also known as SSS
The Side Angle Side Similarity Theorem also known as SAS
What is d, the common difference, in the arithmetic sequence 100, 98, 96, 94, 92, ...?
-1
Ο 2
Ο Ο Ο Ο.
-2
Ο 100
Answer:
-2
Step-by-step explanation:
My question is 3x + (2− 4x)
Answer:
3x+(2-4x)
= 2 (3x+4x)
=2 (7x)
=2/7x
=7x/2
=3.5
Step-by-step explanation:=3.5
Nearest hundredth
X2+2x+7=21
Step-by-step explanation:
subtract 21 from both sides
x2+2x+7-21=21-21
x2+2x+14=0
use quadratic equation
x=(-3+-(b^2-4ac)^1/2)/2a
in our equation a=1,b=2and c=14
(-2+-(14+56)^1/2)/2
x=-1+(60^1/2)/2
there is only one positive answer and it is 2.87
Record 3 2/25 as a decimal. Please help!!!!!
Answer:
1.28 is the decimal form
Step-by-step explanation:
and 128/100 or 128% is the percentage for 32/25.
// have a great day //
Maureen worked 48 hours last week. Her hourly rate is $8.00. How much did she earn in overtime pay?
1 hour = $8.00
48 hours = $8 x 48
48 hours = $384
----------------------------------------
Answer: $384
----------------------------------------
1/3 of the members Voted know what fraction of the members did not know
Answer:
2/3 did not vote no
Step-by-step explanation:
1/3 voted no
The total is 1
1 - 1/3
3/3 -1/3
2/3 did not vote no
the slope of the line below is -2. which of the following is the point-slope form of the line? 4, -8
Answer:
D
Step-by-step explanation:
Point: (4,-8)
Slope: -2
y-y1=m(x-x1)
y+8=-2(x-4)
Answer pleaseeee ASAP
Answer:
93 square metres
Step-by-step explanation
The formula for surface area is 2ab+2ac+2bc, and with no lid one bc can be removed.
Suppose a=7 b=3 and c=3
2(7x3)+2(7x3)+(3x3)=93
Which of the following ratios forms a proportion with 4/15?
A: 8/20
B: 7/18
C: 12/45
D:6/25
Answer:
C: 12/45
Step-by-step explanation:
You have to divide the numerator and the denominator by the same number, and if once you divide it you get the fraction then it's the right answer. So lets take 12/45 and try it.
12/3 =4
45/3 =15
4/15
What is the vertex form of the parabola from daredevil dannys practice jump ?
Answer:
the vertex form of the parabola from daredevil dannys practice jump is: 47538Step-by-step explanation:
2+2+3+4+45+65+3=47538 jump in the vertex of the jump but then there's a other always 564*56*75+4=47538
The vertex form of Daredevil Danny’s practice jump is y=-32/100(x-25)2+32
But daredevil danny sucked I got a 100 here is the link to my whole worksheet (cant have a link so its tinyurl . com / Danny - Daredevil)
fyi the link is without spaces
I have worked the answer to a which is 301.6 but I’m not too sure how you work out b any help would be much appreciated!
Answer:
188.5 cm^2
Step-by-step explanation:
a) Your volume is correct.
b) The curved surface area of the cone is called the lateral area.
Its formula is:
LA = (pi)rs,
where pi is 3.14159...
r = radius of the base
s = slant height of the cone
Here, r = 6 cm, and s = 10 cm
LA = (3.14159)(6 cm)(10 cm)
LA = 188.5 cm^2
what is 15 minutes to 1 hour
Answer:
1:4 or 25% or 1/4
Step-by-step explanation
There are 60 minutes in an hour and 60 divided by 15 is four. So basically, 15 minutes is 1/4 of an hour, 25% of an hour, and 1:4 of an hour.
answer quickly plzzz
Answer:
Your answer of [tex]-\frac{39}{8y}[/tex] is correct
Step-by-step explanation:
We begin with the expression: [tex]-\frac{4}{y} +(-\frac{7}{8y} )[/tex]
First, we need to find a common denominator, which in this case would be 8y.
To make the first term have a denominator of 8y, we must multiply it by [tex]\frac{8}{8}[/tex]
[tex]-\frac{4}{y}(\frac{8}{8}) +(-\frac{7}{8y} )\\\\-\frac{32}{8y} +(-\frac{7}{8y} )[/tex]
Now we can add them to get our final answer.
[tex]-\frac{39}{8y}[/tex]
Please help me with my question!!
Answer:
B
Step-by-step explanation:
When you add two fractions with an equal denominator, you can simply add together the numerators. If it is a mixed fraction, you leave the integer alone unless the sum of the numerators is greater than the denominator, in which case you rewrite the fraction appropriately.
6/19 + 1 2/19= 1+ (6+2)/19 = 1 8/19, not 1 9/19. Therefore, the correct answer is choice B. Hope this helps!
What is the slope of the line that contains the points (-2, 1) and (0, -3)?
Answer:
-2
Step-by-step explanation:
To find the slope we use the formula
m = (y2-y1)/(x2-x1)
= (-3-1)/(0- -2)
= -4 / (+2)
= -2
a recipe requires 3.5 teaspoons of sugar to make a tart which equation shows the number of teaspoons of sugar , y , needed to make x tarts?
Answer: x = 3.5y
Step-by-step explanation:
3.5 teaspoons of sugar (y) per tart (x) would look like this
You multiply 3.5 by y to equal x divided by 3.5
x = 3.5y
What is the sale price of an item that was originally $20 with a 20%
discount? *
HELP ME FOR BRIANETEST
As indicated on the number line 1/3 is the same as 2/6 so we get
Answer: 2/6 + 5/6 = 7/6
Can someone show me how to get x for both
Answer:
So since the sum of both is 13 because it shows both of the lines connected as a length of lines.
So we add them (14+x)+(x+15) = 13
14+2x+15 = 19+2x = 13
-6=2x
x=
-3
Step-by-step explanation:
What is the solution to the system of equations below?
2x-y= 10 and y=-
--3x+5
(6,2)
(6,-2)
(-6, -22)
(-6,8)
Please help! Correct answer only! This assignment is due today.
Lester teaches a ceramics class on the weekends. In Sunday's class, the students created 19 clay objects, 12 of which were vases. After each class, Lester bakes the clay objects in a hot kiln to harden them. Students pick up their finished pieces later in the week.
If Lester randomly chose 16 clay objects to bake in the kiln Sunday night, what is the probability that exactly 11 of the chosen clay objects are vases?
Write your answer as a decimal rounded to four decimal places.
Step-by-step explanation:
Well they made 19 clay, where 12 were vases. That means 7 were not vases. She randomly chooses 16 clay objects, which then also means 3 were left behind. so if the vases are 12/19, which is approximately 63%, then 63% of the objects are vases. Makes sense, right? Well now we need to multiply that by the initial 11 in the question. After all of this work..
Answer: 6.9474 or 6.94736.
Please mark as Brainliest.
Toilet rolls come in packs of 4 and 9
The 4 pack is priced at £2.04
The 9 pack is priced at £4.68
By calculating the price per toilet roll, determine which pack is better value . Show your working
Answer:
4 pack priced at £2.04 is better value deal.
Step-by-step explanation:
The 4 pack is priced at £2.04
cost of one pack will be equal total price divided by no. of roll in one pack
cost of one pack will be £2.04 /4 = £0.51
The 9 pack is priced at £4.68
cost of one pack will be £4.68 /9 = £0.52
As price per toilet roll for 4 pack is £0.51 which is less than
price per toilet roll for 9 pack which is £0.52
4 pack priced at £2.04 is better value deal.
Answer:
4 pack priced at £2.04 is better value deal.
Step-by-step explanation:
This recipe makes 20 flapjacks. How much of each ingredient is needed to make 30 flapjacks by following this recipe? Recipe: Makes 20 flapjacks 140 g margarine 120 g sugar 100 ml syrup 240 g oats 50 g raisins
Answer: 210 grams of margarine, 180 grams of sugar, 150 millilitres of syrup, 360 grams of oats, 75 grams of raisins
Step-by-step explanation: 30 flapjacks is 1.5 more than 20 flapjacks.
140 * 1.5 = 210 grams
120 * 1.5 = 180 grams
100 * 1.5 = 150 millilitres
240 * 1.5 = 360 grams
50 * 1.5 = 75 grams
The perimeter of an isosceles triangle is 10 ¾ cm . If one of its equal side is 2 ¾ cm ,the third side IS, *
Answer:
4 cm
Step-by-step explanation:
Given is an isosceles triangle. Therefore it's two sides will have equal lengths.
Let the length remaining sides be x cm.
[tex]x + x + 2 \frac{3}{4} = 10 \frac{3}{4} \\ \\ 2x + \frac{11}{4} = \frac{43}{4} \\ \\ 2x = \frac{43}{4} - \frac{11}{4} \\ \\ 2x = \frac{32}{4} \\ \\ 2x = 8 \\ \\ x = \frac{8}{2} \\ \\ \huge \red{ \boxed{x = 4 \: cm \: }}[/tex]
what is -14x-7 idk I have tried everything
______________________________
Hey!!
Solution,
-14x-7
take the common
Answer: -7(2x+1)
Hope it helps
Good luck on your assignment
__'________________________
Answer:
i think its -2
Step-by-step explanation:
distribute and find the x