Inversely proportional means as one variable increases the other variable decreases.
In this problem, x is doubled which means it's increased, therefore, y is decreased.
7 / 2 = 3.5
The new value of y is 3.5
What is the product of 2x - 5 and 3x² + 5x - 7? Write your answer in standard form.
(a) Show your work.
(b) Is the product of 2x - 5 and 3x² + 5x - 7 equal to the product of 5x - 2 and 3x² + 5x - 7? Explain your answer.
Answer:
see below
Step-by-step explanation:
(a)
[tex]( 2x - 5 )(3x^{2} + 5x - 7)\\\\=2x(3x^2+5x-7)-5(3x^2+5x-7)\\\\=6x^3+10x^2-14x-15x^2-25x+35\\\\=6x^3+(10x^2-15x^2)+(-14x-25x)+35\\\\=6x^3-5x^2-39x+35[/tex]
(b)
[tex](2x-5)(3x^2+5x-7)=(5x-2)(3x^2+5x-7)\\\\\frac{1}{(3x^2+5x-7)}(2x-5)(3x^2+5x-7)= \frac{1}{(3x^2+5x-7)}(5x-2)(3x^2+5x-7)\\\\2x-5=5x-2\\\\2x-5x=-2+5\\\\-3x=3\\\\x=-1[/tex]
only happens when x=-1, not always
chole is baking cookies to sell in boxes of 12 cookies.if she bakes 122 cookies,calculate the number she can fill and the number of cookies that will be left over.explain your answer
Answer:
she can fill 10 boxes of 12 cookies and the the left over will be 2 cookies.
Step-by-step explanation:
first we have to find out what multiple of 12 is closest to 122 which is 12 x 10=120.
then minus 120 from 122 which gives 2 remaining cookies
Question: 0.4p + 1.7 < 3.3
Answer:
p < 4
Step-by-step explanation:
We are given 0.4p + 1.7 < 3.3.
We solve it like a normal equation by isolating the variable p. Subtract 1.7 from both sides:
0.4p + 1.7 - 1.7 < 3.3 - 1.7
0.4p < 1.6
Divide both sides by 0.4:
p < 1.6/0.4
p < 4
Thus, our possible solutions are p < 4.
~ an aesthetics lover
Which represents where f(x) = g(x)?
f(2) = g(2) and fo) = g(0)
f(2) = g(0) and f(0) = g(4)
f(2) = g(0) and f(4) = g(2)
f(2) = g(4) and f(1) = g(1)
Answer:
2
Step-by-step explanation:
hjjjjjjjiygiciyfcifycitytyx
Answer:
it would be letter c
Step-by-step explanation:
Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomial, or trinomil. 3z−2 2x3+x−12 9b 9x−2
Given that:
The expressions are [tex]3z−2, 2x^3+x-12, 9b, 9x-2[/tex].
Solution:
Monomial : It contains single terms.
Binomial : It contains two terms.
Trinomial : It contains three terms.
Polynomial : It contains atleast one algebraic term.
Degree of polynomial : It is highest power of the variable.
[tex]3z-2[/tex] , here z is the variable. So, it is a polynomial with degree 1 and it is a binomial.
[tex]2x^3+x-12[/tex] , here x is the variable with highest power 3. So, it is a polynomial with degree 3 and it is a trinomial.
[tex]9b[/tex] , here b is a constant. So, it is not a polynomial and it is a monomial.
[tex]9x-2[/tex] , here x is the variable. So, it is a polynomial with degree 1 and it is a binomial.
Evaluate 4/3
please help!
Answer:
1.33333333333
Step-by-step explanation:
What is the x-intercept of the equation below? 5x - 8y = 10 A. ( 2 , 0 ) B. ( 0 , 2 ) C. ( 0 , -5/4 ) D. ( -5/4 , 0 )
Answer:
A. ( 2 , 0 )
Step-by-step explanation:
[tex]5x - 8y = 1[/tex]
Let y = 0
[tex]5x-8(0) =10[/tex]
Multiply ; 8×0=0
[tex]5x-0=10[/tex]
Collect like terms and simplify
[tex]5x =10+0\\\\5x =10[/tex]
Divide both sides of the equation by 5
[tex]\frac{5x}{5}= \frac{10}{5}[/tex]
Simplify
[tex]x =2\\\\(2,0)[/tex]
Answer:
Yes the answer is A. I just did this.
Step-by-step explanation:
(35 points) Hey please help quickly. :(
Question 4
Point P is presently located at the origin. Move P, and observe how the rotated images change. Be sure that neither the images nor the preimage
overlap. Record the distances of the vertices of the preimage AABC from P. Do the same for the other images. Round all of your answers to the
hundredths place.
Thanks so much
Answer:here ya go boys
Step-by-step explanation:
Answer:
No matter where the center of rotation is located on the coordinate plane, each point in the preimage is the same distance from the point of rotation as its corresponding point in the rotated images. This distance is not affected by changing the location of P. Although this investigation covered vertices only, it's clear that any point on a shape or figure will be affected similarly.
Step-by-step explanation:
Thanks to plato FOOOOOLLLLL
6 bakers shared 7.5 kg of flour equally. How much did each
person get?
Simplify 7(exponent 6) multiplied by 7 (exponent 5)
A teacher is researching the effect of what type of font she uses on a test and the scores on the test to see if there is a
relationship. She randomly gives half her classes tests with Times New Roman font and half her classes tests with Comic
Sans font and then tracks their test scores for a semester. Which is this an example of?
-experiment
-simple random sample
-observational study
-convenience study
Answer:
Experiment
Step-by-step explanation:
By going out of her way to make different tests and giving it to different portions of the class, she's creating and running an experiment.
The area of a rectangle is 136 square centimeters. The
rectangle is 8 centimeters wide how long is the rectangle
Answer:17
Step-by-step explanation: count 8, 17 times and that is how you get your answer
The length of the rectangle is 17 cm if the area of a rectangle is 136 square centimeters.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.
It is given that:
The area of a rectangle is 136 square centimeters.
A = 136 square cm
w = 8 cm
A = lw
136 = 8l
l = 17 cm
Thus, the length of the rectangle is 17 cm.
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Can anyone help with number one?
|9x - 9| = 36
To solve for the first solution, simply disregard the absolute value signs.
9x - 9 = 36
Add 9 to both sides
9x = 45
Divide both sides by 9
x = 5
To find the second solution, disregard the absolute value signs and change 36 to -36
9x - 9 = -36
Add 9 to both sides
9x = -27
Divide both sides by 9
x = -3
Now, we need to find the sum of these two solutions.
5 + (-3) = 5 - 3 = 2
jose bought 750 bags of peanuts for $375.00. He tends to sell each bag for 0.15 more than he paid. how much he change for each bag
Answer:
$0.65
Step-by-step explanation:
Jose bought 750 bags for $375.00
Each bag cost $375/750= $0.50
He intends to sells them for $0.15 more
He should charge : $0.5 +$0.15=$0.65
Answer:
cost of 750 bags =$375
cost of 1 bag = 375/75=5
he want 0.15 more for each
so he had to sell each bag in 5 +0.15=5.15
Step-by-step explanation:
Please Help Me quick
Answer:
I think it is 4.5/6.5
Step-by-step explanation:
In the expression 2x + 3, the 2 is called the A) coefficient B) power 09 product D) quotient
Answer:
D
Step-by-step explanation:
I need help with this :) (easy)
Answer:
Step-by-step explanation:
0.2 times 0.8 =0.16
2.4 times 0.7 = 1.68
3.9 times 0.4 = 1.56
0.9 times 0.1 = 0.09
0.2 times 1.5= 0.3
0.6 times 0.6= 0.36
pls mark brainliest
can someone pls help! is this correct?
Answer:
It's wrong
Step-by-step explanation:
Answer:yes it is correct
Step-by-step explanation:
Solve the following system of equations using the elimination method. 2x + 4y = 10 –2x + y = –15
Answer:
(7, - 1 )
Step-by-step explanation:
Given the 2 equations
2x + 4y = 10 → (1)
- 2x + y = - 15 → (2)
Adding the 2 equations term by term eliminates the term in x, that is
5y = - 5 ( divide both sides by 5 )
y = - 1
Substitute y = - 1 into either of the 2 equations and solve for x
Substituting into (1)
2x + 4(- 1) = 10
2x - 4 = 10 ( add 4 to both sides )
2x = 14 ( divide both sides by 2 )
x = 7
Solution is (7, - 1 )
(7, - 1 )
Step-by-step explanation:
Given the 2 equations
2x + 4y = 10 → (1)
- 2x + y = - 15 → (2)
Adding the 2 equations term by term eliminates the term in x, that is
5y = - 5 ( divide both sides by 5 )
y = - 1
Substitute y = - 1 into either of the 2 equations and solve for x
Substituting into (1)
2x + 4(- 1) = 10
2x - 4 = 10 ( add 4 to both sides )
2x = 14 ( divide both sides by 2 )
x = 7
Solution is (7, - 1 )
2 is multipled by the difference of a number and 4 equation
Answer:
This is confusing.. so all ill say involving 2 and 4.
2 x 4 = 8
2 + 4 = 6
2 - 4 = 2
2 dived by 4 = 2
Decimal form:
2.4 or 4.2
Fraction form:
2/4 or 4/2
Light travels about 168,000 mi/s. The function d(t) = 168,000t gives the distance d(t) in miles that light travels in t seconds. How far does light travel in 44s?
Answer:
The nuclear utility environment is one of strict cost control under prescriptive regulations and increasing public scrutiny. This paper presents the results of A Total Quality approach, by a dedicated team, that addresses the need for increased on-site spent fuel storage in this environment. Innovations to spent fuel pool reracking, driven by utilities' specific technical needs and shrinking budgets, have resulted in both product improvements and lower prices. A Total Quality approach to the entire turnkey project is taken, thereby creating synergism and process efficiency in each of the major phases of the project: design and analysis, licensing, fabrication, installation and disposal. Specific technical advances and the proven quality of the team members minimizes risk to the utility and its shareholders and provides a complete, cost effective service. Proper evaluation of spent fuel storage methods and vendors requires a full understanding of currently available customer driven initiatives that reduce cost while improving quality. In all phases of a spent fuel reracking project, from new rack design and analysis through old rack disposal, the integration of diverse experts, at all levels and throughout all phases of a reracking project, better serves utility needs. This Total Quality environment in conjunction with many technical improvements results in a higher quality product at a lower cost
The prediction of minor actinides amounts accumulated in the spent fuel in China
International Nuclear Information System (INIS)
Zhou Peide
2000-01-01
The amounts of the Minor Actinides accumulated in the spent fuel are predicted according to the Nuclear Power Plant development plan envisaged in China. The Minor Actinides generated in the spent fuel unloaded from a typical PWR per year are calculated. The decay characteristics of the Minor Actinides during storage and cooling period are also calculated. At last, the Minor Actinides amounts accumulated in all spent fuel which were unloaded before sometime are given
rewrite 1/4 books over 1/3 hour as a unit rate. A. 1 1/3 bookss/hour B. 1/12 books/hour C. 3/4 books/hour D. 12 books/hour
Answer:
The Answer would be option C. 3/4 books per hour
Step-by-step explanation:
You would flip 1/3 to 3/1 which makes it a whole number. then multiply
1/4 and 3.
Therefore your answer is 3/4
I hope this helped you,
My favorite group, The Lumineers, is coming to Prescott and YC for a concert. Tickets are sold in three levels, $45, $65, and $95 depending on seats. The auditorium seats 1100 people total on the different levels; for them to come to YC we need to sell $66,500 worth of tickets and the auditorium has as many cheap ($45) tickets as the sum of the other two levels ($65 and $95).
Answer:
550 $45 tickets, so $24750 worth of $45 tickets
Step-by-step explanation:
If $45 tickets=x, $65=y, and $95=z, then the question is saying x=y+z. And if x+y+z=1,100, then x=1100/2, so 550 $45 tickets. 550*45 is $24750
Explain what a ratio is and provide two examples- Please help it would help me out a lot.
Answer:
A ratio is basically how much of one thing there is compared to another thing. They can be showed using a colon like "3:1" or using the word "to" like "3 to 1" or lastly, they can also be shown as a fraction "3/1".
2 examples:
2:5
4 to 3
5/6
need help with this question.. PLEASE HELP!
x + 84 = 4x
These are equal because they're vertical angles. Now, let's subtract x from both sides.
84 = 3x
Divide both sides by 3
28 = x
x + 84 = 28 + 84 = 112 degrees
1. How many quadrants are on the Premiere Pro Screen?
Answer:
four quadrants on the monitors: Left, Right, Top Middle and Bottom Middle.
Step-by-step explanation:
Determine whether the equation is always, sometimes, or never true. 6(x + 1) = 2(5 + 3x)
Answer:
never true
Step-by-step explanation:
6(x + 1) = 2(5 + 3x)
distribute
6x + 6 = 10 + 6x
combine like terms by subtracting 6x and 6 from both sides
0 = 4
that is not a true statement, so this equation is never true
Maggie is converting 10,560 feet to miles by using StartFraction 10,560 feet Over 1 EndFraction times StartFraction 1 mile Over 5,280 feet EndFraction. What should be Maggie’s answer?
Her answer should be One-half mile because there are 5,280 feet in a mile.
Her answer should be One-half mile because there are 10,560 feet in a mile.
Her answer should be 2 miles because there are 5,280 feet in a mile.
Her answer should be 2 miles because there are 10,560 feet in a mile.
Answer: C
Step-by-step explanation:
The answer is “ Her answer should be 2 miles because there are 5,280 feet in a mile“
(Aka: C/3.)
If you don’t belive me that’s okay, but it’s right, I just finished the pre-unit test . Hope you do good and keep those grades up!!
Comment Done if you read this
y ∝ 1 √ x If y = 5 when x = 49 find, y when x = 25
Answer:
y = 1/7
Step-by-step explanation:
y ∝ 1/√x ⇒ y = k/√xy = 5, x = 49 ⇒ 5 = k/√49 ⇒ 5 = 7k ⇒ k = 5/7y = 5/(7√x) ⇒ x = 25 ⇒ y = 5/(7√25) = 5/(7·5) = 1/7The value of x is 25 then y is 7.
What is Proportionality?In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one doubles, and both decrease in size when one drops to a tenth of its original value.
Given:
y ∝ 1 √ x
and, y= 5 when x= 49
So, the relation will be
y ∝ 1/√x
y = k/√x
So, 5 = k/√49
5 = k /7
k = 35
Now, k = y/ √x
35 = y √25
35 = 5y
y = 7
Hence, when x is 25 then y is 7.
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4(2-4x)-3x=65 Whats the answer and how did you solve it?
Answer:
x= -3
Step-by-step explanation:
Distribute 4(2-4x) which leaves you with 8-16x-3x=65
combine the like terms which leaves you with 8-19x=65
subtract 8 from both sides 8-19x-8=65-8 which leaves you with -19x=57
lastly divide -19 from both sides which leaves you with x= -3