If x and y vary inversely and x = -3 when y = 12, what is the constant of variation?
k=-36
Step-by-step explanation:
x inversely proportional to y
x=1k/y
where k = constant
x= -3, y= 12, k = ?
-3=k/12
k = -3 × 12
k = -36
The sum of 3 times a number and 5 is equal to 9.
Answer:
Let x equal “a number”
3x+5=9
Answer:
x = 4/3 or 1.33333333333333333333333(infinite 3)
Step-by-step explanation:
3 times a number = 3x
sum = addition
3x + 5 = 9
now balance equation, get numbers without x on same side. Subtract 5 from both sides, this will leave 3x on one side, and 9-5 on the other side.
3x = 4, now divide by 3 on each side to get x on one side
3x/3 = 4/3
x=4/3
4/3 = 1.33
3 x 1.33 +5 = 9
What is the product? StartFraction 4 k + 2 Over k squared minus 4 EndFraction times StartFraction k minus 2 Over 2 k + 1 EndFraction StartFraction 4 Over 2 k + 1 EndFraction StartFraction 2 Over k minus 2 EndFraction StartFraction 2 Over 2 k + 1 EndFraction StartFraction 2 Over k + 2 EndFraction
Answer:
[tex]\frac{2}{k+2}[/tex]
Step-by-step explanation:
Given the expression:
[tex]\frac{4k+2}{k^2-4} * \frac{k-2}{2k+1}[/tex]
We are to find the product as shown:
[tex]= \frac{4k+2}{k^2-4} * \frac{k-2}{2k+1}\\\\= \frac{2(2k+1)}{k^2-2^2} * \frac{k-2}{2k+1}\\\\= \frac{2(2k+1)}{(k-2)(k+2)} * \frac{k-2}{2k+1}\\\\= \frac{2}{k+2} * 1\\\\= \frac{2}{k+2}[/tex]
Hence the required function is [tex]\frac{2}{k+2}[/tex]
d. StartFraction 2 Over k + 2 EndFraction
aka
d. 2/k+2
Which of the following sunds does not result in an answer of -5?
1. (-7) + (+2)
2. (-11) + (+6)
3. (-9) - (-4)
4. (-8) - (+3)
Answer:
4. (-8) - (+3)
Step-by-step explanation:
This answer does not result in an answer of -5
This subtracts -3 from -8, which gives you the answer of -11.
So, this answer is correct because it is the one that doesn't result in -5.
Answer:
Problem #4
Step-by-step explanation:
Some things to remember when doing problems like are
Double negative = positive
Double positive = positive
Negative & positive = negative
1. (-7) + (+2) 2. (-11) + (+6) 3. (-9) - (-4) 4. (-8) - (+3)
-7 + 2 -11 + 6 -9 + 4 -8 - 3
-5 -5 -5 -11
Trevion is training for a marathon. In February, he ran XLVII miles for his training. In January, he was only able to run XXIV miles. How many more did he run in February than in January?
Answer:he ran 23 miles / XXIII miles more in February than March
Step-by-step explanation:
February = He ran XLVII --- converting to numbers becomes
XL= 40
VII= 7
XLVII= 47
In march he ran XXIV--- converting to numbers becomes
XX= 20
IV= 4
XXIV= 24
Step 2
To find how many more he ran in February than March
Miles ran in February - Miles ran in March
47- 24=23.
Therefore he ran 23 miles / XXIII miles more in February than March
Answer:
pretty much answer c
Step-by-step explanation:
2. Which of the following compositions of transformations would NOT map quadrilateral ABCD onto A'B'C'D'?
Answer:I picked 4
Step-by-step explanation:
.
Over what interval is the function nonlinear?
Answer:
Step-by-step explanation:
3rd one
2. Solve for the x.
8
16
7
Answer:
Theres no equation here?
Step-by-step explanation:
Solve for the unknown variable
Answer:
Step-by-step explanation:
ayo
what is 8029 times 89810
Answer:
721084490
Step-by-step explanation:
Jasmine is buying cakes for a party. One chocolate cake costs $7, and one lemon cake
costs $5. If Jasmine needs to buy 18 cakes and has $110 to spend, how many lemon
cakes can she buy?
Set up and solve a system of linear equations to model how to determine the number
of lemon cakes Jasmine can buy for the party.
Answer:
Step-by-step explanation: Am not sure if this is the answer you guys are looking for but my in 9th grade and this is how my math teacher taught me how to do it.
one chocolate cake=?=x
one lemon cake=?=y
$270 spent
need to buy total of 18 cakes
1-chocolate cake =$7
lemon cake = $5
cakes 18=x+y
money $110=$7x+$5y
When i graphed it on the demos calculator i got (10,8).
So 10= the number of chocolate cake brought and 4= the number of lemon cake brought
Which of the following is equivalent to
the expression (i + 5)(3 + 4i)?
Answer: 11+23i
Step-by-step explanation:
(i+5)(3+4i)
First foil
3i+4i^2 +15+20i
Then combine like terms
23i+15+4i^2
i^2 = -1 so,
23i+15+4(-1)
11+23i
Pleaseeee helppppp meeeeee
Answer:
the answer is (1)
Step-by-step explanation:
k = am +3mx
i) factorize out m from the expressionk = m(a+3x)
ii) rearrange the equation using commutative propertym(a+3x) = k
iii) divide both sides of the equation by (a+3x)[tex] \frac{m(a+3x)}{(a + 3x)} = \frac{k }{(a + 3x)} [/tex]
[tex]m = \frac{k }{a + 3x} [/tex]
A model village is built to scale.
It has a scale of 1 : 19.
A road has a real-life length of 1.14 km.
What is the length of the road in the model village in m?
Answer:
The length of the road in the model is 60 m.
Step-by-step explanation:
Given: scale = 1:19
real-life length of the road = 1.14 km
= 1140 m
Let the length of the road in the model be represented by d. A scale is a representative fraction that can be used to either increase or decrease the length of an object.
Scale = [tex]\frac{length on drawing}{actual length}[/tex]
The actual length is the real-life length given as 1140 m.
So that,
[tex]\frac{1}{19}[/tex] = [tex]\frac{d}{1140}[/tex]
19d = 1140
⇒ d = [tex]\frac{1140}{19}[/tex]
= 60
Therefore, the length of the road in the model is 60 m.
Simplify this expression. Show your work. (7x - 5) - (3x - 2)
Answer:
4x-3
Step-by-step explanation:
(7x-5) - (3x-2)
aka
(7x-5) -1 (3x-2)
first distribute the -1 into (3x-2)
-3x+2
so
(7x-5)+ -3x+2
next combine like terms
7x-3x=4x
so
4x-5+2
then
-5+2=-3
so
4x-3 would be your simplified equation
A handful of coins has the value of 1 dollar and 79 cents. There are three times as many dimes as quarters, and five more pennies than dimes. If there are only three types of coins, how many coins of each type are there?
Answer: There are 3 quarters , 9 dimes and 14 pennies.
Step-by-step explanation:
Let x= Number of quarters
Then, Number of dimes = 3x
Number of pennies = 3x+5
1 quarter = $ 0.25
1 dime = $0.10
1 penny = $ 0.01
So, Total amount = 0.25x+ 0.10(3x) + 0.01(3x+5)
= 0.25x+0.30x+ 0.03x+0.05
= 0.58x+0.05
Since Total amount = 1 dollar and 79 cents = $ 1.79 [1 cent = $ 0.01]
So,
[tex]0.58x+0.05=1.79\\\\\Rightarrow\ 0.58x= 1.74\\\\\Rightarrow x=\dfrac{1.74}{0.58}\\\\\Rightarrow x=3[/tex]
Thus, there are 3 quarters , 9 dimes , 14 pennies.
Answer:
Step-by-step explanation:
there are 3 quarters , 9 dimes , 14 pennies.
Gasoline costs $3.65 a gallon Which is an estimated cost of 14.2 gallons of gasoline?
Answer:
the answer is $51.83
Step-by-step explanation:
Answer:
40 or 56 because 3.65 x 14.2 is gonna equal 51.83
27 = -3x - 9 plssss helppp
Answer:
x = 1-2
Step-by-step explanation:
27 = - 3x - 9
36 = -3x
-12 = x
x = -12
Step-by-step explanation:
27+9=-3x
36=-3x
36 divided by -3=x
-12=x
Can someone help me??? It's for extra credit
Answer:
-7 , -1Step-by-step explanation:
if the equation of line p is
4x+7y=20 then the equation of line q must be
-7 x +4y=15 because perpendicular lines have
slopes with a product of -1
Solve the inequality:
2(x = 5) > 4
Answer:
x>-3 (if the = is meant to be +)
Step-by-step explanation:
Distribute the 2: 2x+10>4
Subtract 10 from both sides: 2x>-6
Divide both side by 2: x>-3
pleaseeee help its due today :(
thank you in advance <3
Step-by-step explanation:
y = 1 / (cx + a) - b
At the x-axis intercept, y = 0.
=> 1 / (cx + a) - b = 0
=> 1 / (cx + a) = b
=> b(cx + a) = 1
=> bcx + ab = 1
=> bcx = 1 - ab
=> x = (1 - ab) / (bc)
Hence the answer is Option B.
HELP PLLSS
92;69
work included!
Answer:
92/69 cannot be simplified
Step-by-step explanation:
20 points!
Just need help on these questions
I will try to mark brainliest!
Answer:
the first one is 45% I don't no the second one
Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be
written using function notation?
O FU=-v+
Of(x) = - 3x + 4
o f(x) = -x +
Of = -3y + 4
Answer:
9x + 3y = 12
3y = -9x + 12
y = -3x + 4
f(x) = -3x + 4
Step-by-step explanation:
I hope it's help
Find the area of the shape. Need an answer immediately.
Answer:
A= 113.1 (I rounded my answer)
Step-by-step explanation:
A=πr^2=π·6^2=113.09734
Is "The radio's sound died down" a metaphor, personification, onomatopoeia, or oxymoron answer quick
Answer:
I think personification
Step-by-step explanation:
-3x+6<27?
Solving Linear Inequalities.
While solving, you can treat inequalities the exact same as you would treat equations. Pretend the inequality sign is an equals sign. Now solve for x.
-3x + 6 < 27
-3x < 21
3x < -21
x < -7
Evaluate the expression when $a=3$ and $c=12$ . plzz help meeee
Which of the graphs below represents the solution set for d - 4 > -3?
Answer: C
Step-by-step explanation:
Find the degree of the polynomial -m^6-10m^3
Answer:
We conclude that:
The degree of the polynomial is 6.Step-by-step explanation:
Given
Given the polynomial
[tex]-m^6-10m^3[/tex]
To determine
The degree of the polynomial
In order to determine the degree of the polynomial, we need to check the term with the highest of the degree with non-zero coefficients. The degree of an individual term is basically the exponent of the term.
In our case,
The exponents of the terms of this polynomial are, in order, 6, and 3.
Thus, the highest degree (larger exponent) of the term is 6.
Therefore, we conclude that:
The degree of the polynomial is 6.