Answer:
D. "If the graph of two variables is not a linear function, then the two variables are not directly proportional"
Step-by-step explanation:
The contrapositive of a statement is basically you changing the conditional part of the statement with its result and then finding the negative of both. This is called Contraposition.
So, for the statement given:
"If two variables are directly proportional, then their graph is a linear function."
The contrapositive will be:
"If the graph of two variables is not a linear function, then the two variables are not directly proportional"
Answer:
d
Step-by-step explanation:
I have 4 times as many 10-cent stamps as 3-cent stamps. I have one less 2-cent stamp than 3 cent stamp. If I have b2-cent stamps, what is the value of my stamp collection in terms of b ?
Answer:
Value of stamp collection = (45b + 43) cents
Step-by-step explanation:
What we have here is as follows;
if there are x 3-cent stamps, then there are 4x 10-cent stamps
So the number of 2-cent stamps is 1 less than 3 cent stamps and that will be x-1 2 cent stamps
Number of 2 cents stamps = b
This means that x-1 = b
Thus, x = b + 1
So the value of the stamp collection is as follows;
x 3 cents stamps = 3(b+ 1) = 3b + 3 cents
4x 10 cents stamps = 10(4(b + 1)) = 10(4b + 4) = 40b + 40
value of the 2 cents stamp = 2b cents
Total value is thus;
2b + 40b + 40 + 3b + 3 = (45b + 43) cents
Answer:
45b + 43 cents
Step-by-step explanation:
45b + 43 cents
x intercept f(x)=(x+4)^2
Answer:
-4Step-by-step explanation:
Given the function f(x)=(x+4)², the x intercept occurs at f(x) = 0, substituting f(x) = 0 into the given equation to get the value of x we have;
[tex]0 = (x+4)^{2} \\[/tex]
Taking the square root of both sides
[tex]\sqrt{(x+4})^{2} = \sqrt{0}\\ x+4 = 0\\[/tex]
Subtracting 4 from both sides of the equation
[tex]x+4-4 = 0-4\\x = -4[/tex]
Therefore the x intercept of the equation is -4
Find the 8th term of the geometric sequence 3, -12, 48, ...
Answer:
a(8) = -49152
Step-by-step explanation:
Step 1: Find r
-12/3 = 4
Step 2: Write geometric explicit formula
[tex]a_{n} = 3(4)^{n-1}[/tex]
Step 3: Plug in 8th term for n
[tex]a_{8} = 3(4)^{7}[/tex]
a(8) = -49152
Alternatively you can find r then multiply 3 by -4 8 times.
A pool company is creating an image for a client that has the look of a 3-D image for a family pool and a similar dog pool. Find the value of x in the drawing below:
Answer:
x = 8
Step-by-step explanation:
==>Given that a family pool with a quadrilateral shape ABCD is similar with the dog pool EFGH, we can find the value of x by using the proportion of their corresponding sides.
Since ABCD ~ EFGH, the proportion of their corresponding sides are equal.
Thus, AB/EF = BC/FG = CD/GH = DA/HE
We have: 3/y = 4/3 = 5/z = x/6
Finding z:
4/3 = 5/z
Cross multiply
4*z = 5*3
4z = 15
z = 15/4
z = 3.75
Let's find x:
5/z = x/6
5/3.75 = x/6
Cross multiply
6*5 = x*3.75
30/3.75 = x
8 = x
x = 8
Which of these numbers have exactly two factors 7 8 9 10
A B C D
Answer:
A. 7
Step-by-step explanation:
If a number has exactly two factors, 1 and itself, the number is a prime number. The only prime number below is 77= 1*7
8= 1*8= 2*4
9= 1*9= 3*3
10= 1*10= 2*5
What is the following product? (2 sqrt 7 + 3 sqrt 6)(5 sqrt 2 + 4 sqrt 3
Answer:
[tex]10\sqrt{14} +8\sqrt{21} + 30\sqrt{3} +36\sqrt{2}\\[/tex]
Step-by-step explanation:
[tex](2\sqrt{7} + 3\sqrt{6} )(5\sqrt{2} +4\sqrt{3} )\\= 10\sqrt{14} +8\sqrt{21} + 15\sqrt{12} +12\sqrt{18} \\=10\sqrt{14} +8\sqrt{21} + 15\sqrt{4*3} +12\sqrt{9*2} \\= 10\sqrt{14} +8\sqrt{21} + 15*2\sqrt{3} +12*3\sqrt{2} \\=10\sqrt{14} +8\sqrt{21} + 30\sqrt{3} +36\sqrt{2} \\\\[/tex]
Hope this helps!
Answer:
(2√7 + 3√6) x (5√2 + 4√3)
Multiply the parentheses
= 10√14 + 8√21 + 15√12 + 12√18
= 10√14 + 8√21 + 30√3 + 12√18
ε = {x: 2 x 30, x is an integer}, M = {even numbers}, P = {prime numbers}, T = {odd numbers} Find: I) MUP ii) M - T iii) P(MT) iv) P’U(MT’)
Answer:
i hope this helps and its clear !
in the year 2012 a farmer harvested 144 bags of maize.the following year the harvest decreased in the ratio 3:4.What was the total number of bags harvested for the two years
Answer:
252 bags of maize
Step-by-step explanation:
From the question, we are told that a farmer harvested maize
In the year 2012 = 144 bags of maize
In the year 2013(following year) the harvest decreased in the ratio 3:4
This means
3:4 = 2013: 2012.
Where number of bags harvested in 2013 = unknown = x
3/4 = x/ 144
Cross multiply 4x = 3 × 144
x = 3 × 144/ 4
× = 108
This means 108 bags of maize was harvested in 2013
The total number of bags harvested is = 108 + 144
= 252 bags of maize.
Evaluate: (-2/3*3/4) -1
Answer:
[tex] = ( - \frac{2}{3} \times \frac{3}{4}) \times ( - 1) [/tex]
[tex] = \frac{( - 2) \times ( - 1)}{4} [/tex]
[tex] = \frac{ + 2}{4} [/tex]
[tex] = + \frac{1}{2} [/tex]
Here's your answer girlfriend
Please follow me
How many seconds are in a day? Use the following unit conversions: 60 sec = 1 min 1 hr = 60 min 24 hr = 1 day A 150 B 1,440 C 3,600 D 86,400
Answer:
There are 86,400 seconds in a day. (Answer choice C)
Rachel, Mario and Sanjit share some money in the ratios 4 : 3 : 9 Mario receives £96. Work out the difference between the amount received by Rachel and the amount received by Sanjit.
Answer:
Step-by-step explanation:
If Marios share is 3 parts and is £96, then
Find one part = 96/3 = 32
So,
Rachel receives = 32 x 4 = £128
Sanjay receives = 32 x 9 = £288
Hope this helps
How many sides does a pentagon have? A pentagon has number sides.
Answer:
5
Step-by-step explanation:
A pentagon is a polygon that has 5 sides.
Answer:
A pentagon has 5 sides
Step-by-step explanation:
penta, often means 5.
The square root of 52 is between which two consecutive Integers?
26 and 27
25 and 26
07 and 8
8 and 9
Which of the following expressions have a quotient of –2? Check all that apply. –12 ÷ –6 –12 ÷ 6 –6 ÷ –3 6 ÷ –3 –6 ÷ 3
Answer:
12 ÷ –6, –12 ÷ 6, 6 ÷ –3, –6 ÷ 3
Step-by-step explanation:
Ignore the negative signs. If their quotient is 2 and only 1 of the 2 numbers have a negative sign, they make -2.
Answer:
2
4
And 5
Step-by-step explanation:
What is the range of f(x)?
-3, -2, -1, 0,1
-2.-1.0.1
all real numbers such that -3
all real numbers such that -2
The range of f(x) would be -2, -1, .0, 1.
What is the range of the function?The range of the function is depicted by the points that the blue lines make on the graph. Thus we have the first blue line on point, -2. This gradually progresses to -1 and then 0 and 1 on the y-axis.
The range of a function refers to the values that are covered by the expression and the values, -2, -1, .0, and 1 represent the function. Option B is right.
Learn more about the range of a function here:
https://brainly.com/question/7954282
#SPJ2
Please help me with this maths homework
Answer:
The transformation is
reflection in the x axis
That's ( x , - y)
Hope this helps.
Which of the following is the rule for the geometric
sequence 1, 3. 9. 27, ...?
an = 3.39-1
an = 3.31
an = 1.32
an = 1.39-1
Answer:
[tex]a_{n}[/tex] = 1 . [tex]3^{n-1}[/tex]
Step-by-step explanation:
The n th term rule for a geometric sequence is
[tex]a_{n}[/tex] = a [tex]r^{n-1}[/tex]
where a is the first term and r the common ratio
Here a = 1 and r = 3 ÷ 1 = 3 , thus
[tex]a_{n}[/tex] = 1 . [tex]3^{n-1}[/tex]
Solve for x? and the lengths missing side
Answer:
X = 15, the missing length (c) is 10
Step-by-step explanation:
Using Pythagorean’s Theorem we know that a^2 + b^2 = c^2
We have side a and b, represent a as 6 and b as 8.
We have 6^2 + 8^2 = c^2
Which equals 100 = c^2
10 = c
Side C is 10, and (x - 5) = 10
X = 15
Please mark BRAINLIEST!
Answer: x ≅ 15.95
Step-by-step explanation:
Use the pythagorean theorem for right triangles x^2 + y^2 = s^2
6^2 = 36
8^2 = 64
(x - 5)^2 requires FOIL. Unfortunately Im going to do this on paper. Its essentially First Outside Inside Last. i got x^2 - 10x + 25
Lets now add 36 and 84 and make it equal to the trinomial we just got.
[tex]120=x^2-10x+25[/tex]
Now lets subtract 120 from both sides to get:
[tex]0=x^2-10x-95[/tex]
You could complete the square, I think. But im going to use the quadratic formula. [tex]\frac{-b +/- \sqrt{b^2-4ac} }{2a}[/tex]Im going to calculate this on paper for simplicity's sake. Im getting an answer of about [tex]\frac{10(+/-)21.909}{2}[/tex]
Solve by adding and then solve by subtracting to get x ≅ 15.95 and x = -5.95. We cant have a negative side length so we can disregard that negative answer.
erina12 please answe this i am on a live lesson
Answer:
Area = 105 cm^2
Step-by-step explanation:
Area = (9x6) + (6x6) + 0.5(5x6)
= 54+36+15
=105 cm^2
Best Regards!
f(x) = x^2. What is g(x)?
Answer:
Step-by-step explanation:
[tex]f(x) =x^2[/tex] is, in vertex form,
[tex]f(x)=(x-h)^2+k[/tex] where h and k, the vertex, is (0, 0). It is positive because it opens upwards.
g(x) opens downward, so we know that it is negative. Because it is DOWN 4 units from the origin, is has been moved down -4. Putting that together, we can determine that the equation for g(x) is
[tex]g(x)=-x^2-4[/tex], choice D in your list.
Answer:
D
Step-by-step explanation:
The opposite side of function f(x) is g(x). So -x².
The y-intercept is -4.
- x² - 4
Convert 100 days to weeks and days
Answer:
14 weeks and 2 days.
Step-by-step explanation:
Divide 100 days by 7, because there are 7 days in 1 week.
100/7 = 14.2857
0.285714 = 2/7
The answer is 14 weeks and 2 days.
Answer:
there are 100 days
there are 7 days in a week so we divide the days by 7
100days/7days
14.2weeks≈14 weeks are there in 100days
Step-by-step explanation:
i hope this will help you :)
there are only blue cubes, yellow cubes and green cubes in a bag there are 3 times as many blue cubes as yellow cubes and five times as many green cubes as blue cubes Sarah takes a random cube from the bag. what is the probability she takes a yellow cube give your answer in its simplest form.
Answer:1/11
Step-by-step explanation:
Let the yellow cubes be x
yellow = x
blue = 2x // Blue cubes is twice of yellow
Green = 8x // Green is four times of blue
Ratio:
Yellow : Blue : Green
1 : 2 : 8
P(Yellow) = 1/11
each of the letters in the word SNOWFLAKE are on seperate cards face down on the table. If you pick a card at random, what is the probaility that the letter on it will fall within the range of "L" and "T" in the alphabet?
Answer:
1:9 probability it will fall on "L" and there is a 0:9 probability it will fall on "T" because "SNOWFLAKE" doesn't have the letter "T" in it.
How do you create and use a table to solve problems?
Answer: Organizes Data
Step-by-step explanation:
A table can help you organize information, and it can show patterns you can make tables with time, line plots, graphs
A t-shirt increased in price by 14. After the increase it was priced at £30. What was the original price of the t-shirt?
Answer:
Either £16 or £26.32 depending on what you meant in the question
Step-by-step explanation:
I'm going to answer the question in 2 ways, since I'm not sure if you mean £14 or 14%
If its £14, then the original price is 30-14 = £16
If its 14% then that means after the increase, the shirt will be 100%+14% of the original price or 114% of the original price.
This means that
£30 = 114%
To make it easier, reduce the 114% to 1 %
1% = 30/114
1% = £0.26316
100% = £26.32 (rounded to 2 decimal places)
Therefore the original price was £26.32
I will give you brainliest!!!! Use substitution method to solve the system of equations. y=6x-5 y=x+5
Answer
C
Step-by-step explanation:
PRIMERO ENCUENTRAS x
y = 6x - 5
y = x + 5 (-1)
5x + 10
x = 10/5 = 2
ENTONCES 2 SE SUSTITUYE EN CUALQUIERA DE LAS DOS ECUACIONES
ORIGINALES.
y = 62) - 5 = 7
PLEASEEEEE ANSWER Gale wants to compare the cost of the events. Aquarium: $14.50 each ticket Carnival: c = 15.5 + 12f Wave pool: $16.75 each, but $12.25 each for groups larger than 4 Which of the claims Gale makes is true? The table represents all possibilities. The carnival always costs the least. The Aquarium always costs the most. (7, 101.5) is an ordered pair used to represent the aquarium cost.
Answer:
The fourth statement is true
Step-by-step explanation:
the table does not represent all possibilities, because the function is limited to zero tickets
Thus, this statement is false
the carnival never costs least, because the aquarium costs less, and the pool may cost even less if there is a group of 4
Thus, this statement is false
the aquarium not always costs the most, since it cost 14.50$ each ticket, while the wave pool may have tickets 16.75 each
Thus, this statement is false
the aquarium cost may be represented by the equation:
y=14.50x
now, we put in the ordered pair coordinates:
101.5=14.50*7
101.5=101.5
Thus, this statement is true
Answer:
correct 4 edge 2020
(7, 101.5) is an ordered pair used to represent the aquarium cost.
Step-by-step explanation:
Gale wants to compare the cost of the events.
Aquarium: $14.50 each ticket
Carnival: c = 15.5 + 12f
Wave pool: $16.75 each, but $12.25 each for groups larger than 4
Which of the claims Gale makes is true?
The table represents all possibilities.
The carnival always costs the least.
The Aquarium always costs the most.
(7, 101.5) is an ordered pair used to represent the aquarium cost.
Triangle ABC is dilated about the origin by a factor of 2, reflected in the x-axis, rotated 180°, and translated 2 units to the right and 4 units down to form triangle XYZ. Which statement is true? a. The two triangles are congruent because the each transformation is a rigid motion. b. The two triangles are not congruent because the orientation is changed. c. The two triangles are congruent because the orientation did not change. d. The two triangles are not congruent because dilation is not a rigid motion.
Answer:
d. The two triangles are not congruent because dilation is not a rigid motion.
Step-by-step explanation:
Triangle ABC is dilated about the origin b a factor of 2. It is then reflected and translated to form Triangle XYZ.
The new triangle formed is not congruent to ABC because the image is not the same size as the pre-image. It is only rigid transformations that preserve length, however dilation is not a rigid transformation.
Each term in the sequence below is 2 less than 1/2 the previous term. What term of the sequence will be the first term to be a negative number?
256, 126, 61, 28.5, ....
Plz explain
Answer:
8 th term
Step-by-step explanation:
Continuing the sequence from the last term given (term 4 )
a₅ = 0.5 × 28.5 - 2 = 14.25 - 2 = 12.25
a₆ = 0.5 × 12.25 - 2 = 6.125 - 2 = 4.125
a₇ = 0.5 × 4.125 - 2 = 2.125
a₈ = 0.5 × 2.125 - 2 = 1.0625 - 2 = - 0.9375 ← negative
The first term to be negative is term 8
another question I need help ! answer ASAP please .
Answer:
35
Step-by-step explanation:
Since we know the amounts of each vitamin per serving all we have to do is find the difference.
We do this by subtracting 90 from 125.
125 - 90 = 35