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and what is "y"? well, y = 60 - 4x.
Related Questions
The measurement 5.22 cm has three significant figures which means that
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How is place value used to read decimals
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simplify the expression (2x − 9)(x + 6). 2x2 − 54
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Answer:
2x²+3x-54
Step-by-step explanation:
To simplify the expression
(2x − 9)(x + 6)
We will multiply both linear equations together to get a quadratic equation of second degree.
(2x − 9)(x + 6)
= 2x²+12x-9x-54
= 2x²+3x-54
This gives the required quadratic expression after simplification.
Solve for c.
a(c + b)=d
A. c = d + ab / a
B. c = d − ab/b
C. c = d − ab/a
D. c = ab − d/a
Solve for b.
d = 3a + 3b
A. b = 3a−d/3
B. b = d−3a/3
C. b = d − 3a
D. b = d − 3a/ a
The formula for a trapezoid relates the area A, the two bases, a and b, and the height, h.
A = h(a+b)/2
Solve for b.
b=2A−a/h
b=Ah/2 − a
b=2A/h − a
b=2A/h + a
The formula for the perimeter of a rectangle is P = 2(l+w).
Solve for l.
l = 2P − w
l = p−w/2
l = P/2 + w
l = p/2 − w
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ac + ab = d
ac = d - ab
c = (d - ab) / a
==============
d = 3a + 3b
d - 3a = 3b
(d - 3a) / 3 = b
==============
A = h(a + b) / 2
2A = h(a + b)
2A/h = a + b
(2A/h) - a = b
===============
P = 2(L + W)
2P = L + W
2P - W = L
Answer:
Here is your answer for K12 AZVA:
c = d − a b / a
Please Mark brainiest!
In a certain grocery store, strawberries cost $4.48 per pound ( 4.48 dollars/lb ). What is the cost per ounce?
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To solve this problem, all we have to do is to convert the pounds to ounce. We know that the conversion factor is:
1 pound = 16 ounce
Therefore:
cost per ounce = ($ 4.48 / pound) * (1 pound / 16 ounce) = $0.28 / ounce
Answer: There is cost $0.28 per ounce.
Step-by-step explanation:
Since we have given that
Cost per pound = $4.48
We need to find the cost per ounce.
As we know that
1 pound = 16 ounces
So, Cost per ounce would be
[tex]\dfrac{4.48}{16}\\\\=\$0.28[/tex]
Hence, there is cost $0.28 per ounce.
Please help. Determine the domain of the inverse function and find the inverse function.
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now, the range for that equation is all real numbers, is a linear equation and therefore will pass the "vertical line test" and thus be a one-to-one function, and therefore will have an inverse function.
for a function that has an inverse function, the range of the original function is exactly the same as the domain for its inverse. Therefore, if the range of that function is all real numbers, then the domain of its inverse is just that.
what's the inverse, well, let's do the switcharoo.
[tex]\bf A=10h\qquad inverse\implies \boxed{h}=10\boxed{A}\impliedby A^{-1}(h)[/tex]
we are not solving for "h", because, well, is already solved for "h".
Stan wants to make a rectangular garden. he has 34 ft of fencing to put around the perimeter. if the length is to be 5 ft more than the width, find the dimensions of the planned garden.
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P = 34
L = W + 5
34 = 2(W + 5 + W)
34 = 2(2W + 5)
34 = 4W + 10
34 - 10 = 4W
24 = 4W
24/4 = W
6 = W <==== the width is 6 ft
L = W + 5
L = 6 + 5
L = 11 <==== the length is 11 ft
Using the concept of perimeter and given conditions, the planned garden's dimensions should be 6 feet by 11 feet with a total perimeter coverage of 34 feet.
Explanation:The problem can be solved by using the concept of perimeter in mathematics. The perimeter of a rectangle is the sum of all its sides, and given that Stan has 34 ft of fencing, this can be translated to a formula: 2*(length + width) = 34ft.
From the question, we also know that the length of the fence is 5 ft more than the width. This can also be translated into an equation: length = width + 5.
By substituting this into the earlier equation, we can find the width: 2*(width + width + 5) = 34, which simplifies to 4*width + 10 = 34. Solving this gives us width = 6 ft.
Substitute width = 6 ft into the length equation to get length = width + 5 = 6 + 5 = 11 ft. Therefore, the dimensions of the planned garden are 6 ft by 11 ft.
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How to you find the cotangent of 5(pi)/6?
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cot = [tex]\frac{-\frac{\sqrt{3}}{2}}{\frac{1}{2}} [/tex]
cot = [tex]\frac{-\frac{\sqrt{3}}{2}}{\frac{1}{2}} = -\sqrt{3} [/tex]
Order feet,inches,miles,yards from most precise to least precise
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A social worker examines the level of aggression (measured on a 100-point scale) of four groups of individuals before they begin anger management classes. using the weighted mean, determine the overall mean level of aggression for all four groups. group 1: mean = 82, n = 15; group 2: mean = 87, n = 12; group 3: mean = 93, n = 22, and group 4: mean = 79, n = 11
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Group 1: (82)(15) = 1230
Group 2: (87)(12) = 1044
Group 3: (93)(22) = 2046
Group 4: (79)(11) = 869
Then, we add up the products to determine the overall total
Overall total = 1230 + 1044 + 2046 + 869 = 5,189
Then, we divide the overall total by the total number of people in four groups
total number of people = 15 + 12 + 22 + 11 = 60
Overall mean = 5,189 / 60 = 86.48
Therefore, the answer is ~86.5.
please help !! A safety regulation states that the height h of a guardrail should be 106 centimeters with an absolute deviation of no more than 7 centimeters. Write and solve an absolute value inequality that represents the acceptable heights of a guardrail. The absolute value inequality is_ . The acceptable range of heights of a guardrail are _cm to _cm.
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The height h of a guardrail = 106 centimeters
absolute deviation = 7 centimeters
To find the acceptable heights of a guardrail , we add and subtract absolute deviation(7) from the mean height(106)
The acceptable range of height is 7 cm away from 106 to the left and then to the right.
106 + 7 = 113
106 - 7 = 99
acceptable heights are defined by
99 <=h<=113
The absolute value inequality is |x-106|<=7
The acceptable range of heights of a guardrail are 99 cm to 113 cm.
We want to write an absolute value equation for the acceptable range of the height of a guardrail.
The acceptable range of heights of a guardrail is 99cm to 113cm.
And the absolute value equation is: |h - 106cm| ≤ 7cm
We know that the height should be 106cm with an absolute deviation of no more than 7 cm.
So the maximum height is:
106cm +7cm = 113cm
The minimum is:
106cm -7cm = 99cm
The absolute value equation that represents this is:
|h - 106cm| ≤ 7cm
Where h is the height of the guardrail.
The acceptable range of heights of a guardrail is 99cm to 113cm.
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Gabrielle is 14 years older than Mikhail. The sum of their ages is 96 . What is Mikhail's age?
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Marissa is bu buying a shirt for each of her brothers and each of her 2 sisters. Each shirt costs $7.50 and she spends a total of $30. How many brothers does Marissa Have?
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hope it helps
Using an equation, Marissa has 2 brothers with her 2 sisters, making 4 siblings.
What is an equation?An equation is a mathematical statement of the equality or equivalence of two or more mathematical expressions.
We can use an equation to solve the above problem.
The number of brothers that Marissa has = x
The number of sisters Marissa has = 2
The cost of each shirt = $7.50
The total amount spent = $30
The total number of shirts Marissa can buy with $30 = 4 ($30/$7.50)
Equation:
7.5x + 7.5(2) = 30
7.5x + 15 = 30
7.5x = 15
x = 2
Thus, Marissa has 2 brothers, based on the solved equation.
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PLEASE HELP ASAP!!! Will give brainliest!
What is the relationship between 8.76×106 and 8.76×102 ?
Select from the drop-down menus to correctly complete the statement.
8.76×10^6 is ___ times ___ than 8.76×10^2 .
1) 1000, 10,000, 100,000, or 1,000,000.
2) Greater or Less.
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10^6 = 1,000,000
10^2 = 100
1,000,000 / 100 = 10,000
so 8.76x10^6 is 10,000 times greater than
t - yc = b solve for c (literal equations)
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yc = T - b
c = (T - b) / y
hope it helps
Hey!
Hope this helps...
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Like equations with the same variable on both sides...
We want to get c by itself...
T - yc = b [Subtract T from both sides]
-yc = b - T [divide -y from both sides]
c = -(b - T)/y
So...
The answer is: c = -(b - T)/y
Lola takes the train from Paris to Nice. The distance between the two cities is about 921,000 meters. If the train travels at a speed of 307 kilometers per hour, how long will it take Lola to travel from Paris to Nice
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Answer: It will take 1.75 minutes to travel from Paris to Nice.
Step-by-step explanation:
Since we have given that
Distance between the two cities = 921,000 meters
Since we know that
1 km = 1000 meters
[tex]1\ m=\dfrac{1}{1000}\ km\\\\921000\ m=\dfrac{921000}{1000}\ km=921\ km[/tex]
Speed at which the train travels = 307 km/hr
As we know the formula for time taken:
[tex]Time=\dfrac{Distance}{Speed}=\dfrac{921}{307}=0.029\ hours\\\\Time=0.029\times 60=1.75\ minutes[/tex]
Hence, it will take 1.75 minutes to travel from Paris to Nice.
The difference between two numbers is 10 and their sum is four times the smaller number Find the two numbers.
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A = larger number
B = smaller number
A -B = 10
A + B = 4B
A=10+B
10+B+B = 4B
10 +2B = 4B
10=2B
B = 10/2 = 5
A = 10+5 =15
15-5 =10
15+5 = 20, 4*5 = 20
the numbers are 5 & 15
If f(x)=2x^2+1, what is f(x) when x=3
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What is the length of y on this circle
8 units
12 units
10 units
18 units
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---------------------------------------
---------------------------------------
Explanation:
Use the intersecting chords theorem to get
y*6 = 4*12
6y = 48
6y/6 = 48/6
y = 8
Therefore y is 8 units long.
Check:
y*6 = 4*12
8*6 = 4*12
48 = 48
our answer checks out
PLEASE HELP Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x
f(x) = (x+3)/4
g(x) = 4x - 3
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f(g(x))=(4x-3+3)/4=(4x+0)/4=4x/4=x
g(f(x))=4((x+3)/4)-3=(x+3)-3=x+3-3=x+0=x
Line c has a slope of -6/7. line d has a slope of -6/7. are line c and d parallel or perpendicular?
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And since they both have a slope of -6/7, then lines c and d are parallel
choose the correct word to complete the following sentance: a natural number is (always, sometimes, never) a whole number
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The set of natural numbers is this {1, 2, 3, 4, 5, ...} basically the set of counting numbers. Zero is not part of this set.
The set of whole numbers is {0, 1, 2, 3, 4, 5, ...} almost the same set but now zero is part of the group.
Any number in the first set is automatically part of the second. We consider the first set to be a subset of the second set. Any natural number you can think of is also a whole number. The same cannot be said the other way around. As you can see, zero is NOT a natural number. So the set of whole numbers is not a subset of the natural numbers.
How would I do this?
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The idea is that we have these arguments in symbolic form
P = Ron eats lunch today
Q = Ron eats a sandwich
R = Ron will drink a glass of milk
The format is
"If P then Q" ----> "if Q then R" so therefore "If P then R"
We see that P leads to Q, then Q leads to R. So overall P leads to R. We connect them as a chain of sorts. We can skip over Q since we know the first point will lead to the last. Think of it as a shortcut of sorts.
(01.04) jorge was tracking the decreasing temperature in the morning. at 7
a.m., it was 65 degrees fahrenheit. at 9
a.m., it was 55 degrees fahrenheit. if jorge made the function f(x) = −5x + 100, what would the −5 represent? (1 point) the temperature at midnight the length of time he recorded for the total change in degrees the rate at which the temperature was decreasing
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Solve the Quetion and times 50 equals 5000 explain your solution
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50x/50 = 5000/50 (isolate the x to get the x, do this by dividing each side)
x= 100 (answer)
hope this helps
An ant is roughly 10 superscript negative 3 meters in length and the average human roughly one meter. how many times longer is a human than an ant?
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Human = 1 mx = 1 m : 0.001 m = 1 : 1/1,000 = 1 * 1,000 = 1,000Answer: A human is 1,000 times or 10³ times longer than an ant.
if f(x)=-6x+12, then f^-1(x)=
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Okay, so let's start with swapping all of the variables.
x = -6y + 12.
We'll start with subtracting both sides by 12. Our goal is to isolate y, and we do so by doing the inverse of the operation on each value.
Since 12 is positive, the inverse of being positive is negative. So, we shall subtract!
x - 12 = -6y + 12 - 12.
Which leaves us with x - 12 = -6y.
Since the -6 is multiplying our variable, the inverse of multiplication is division, so we shall divide both sides by -6.
[tex] \frac{x - 12}{-6} [/tex] = -6y / -6.
Which leaves us with [tex] \frac{x - 12}{-6} [/tex] = y.
Our final answer is:
[tex] f^{-1}(x) [/tex] = [tex] \frac{x - 12}{-6} [/tex].
Hopefully, this helps! =)
y = -6x + 12
Switching y and x, and then solving for y:
x = -6y + 12
6y = 12 - x
y = [tex] \frac{12- x}{6} [/tex]
Hence,
[tex] f^{-1} (x) = \frac{12- x}{6}[/tex]
Which is true? A 11.949 > 12.000 B 14.887 < 14.097 C 17.0010 > 17.0100 D 19.0929 < 19.7893
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B also not true
D is the only one that is true
The area of a triangle is 27 square feet its height is three times the length of its base find the height and base of the triangle
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A = 27
h = 3b
27 = 1/2 * 3b * b
27 = 1/2 * 3b^2
27 * 2 = 3b^2
54 = 3b^2
54/3 = b^2
18 = b^2
sqrt 18 = b
4.24 = b <=== base
h = 3b
h = 3(4.24)
h = 12.72 <== height
Which is more, 6 kilograms or 5,999 grams?