Answer:
y = ± [tex]\sqrt{\frac{a-x}{2b} }[/tex]
Step-by-step explanation:
Given
x = a - 2by² ( subtract a from both sides )
x - a = - 2by² ( multiply through by - 1 to clear the leading negative )
a - x = 2by² ( divide both sides by 2b )
[tex]\frac{a-x}{2b}[/tex] = y² ( take the square root of both sides )
y = ± [tex]\sqrt{\frac{a-x}{2b} }[/tex]
Making y the subject of the formula, [tex]x = a - 2by^2[/tex] , the answer would be:
[tex]\mathbf{y = \sqrt{\frac{x - a}{-2b}} }[/tex]
Given the formula: [tex]x = a - 2by^2[/tex],
Required:
Making y the subject of the formula
This is done as shown below:
[tex]x = a - 2by^2[/tex]
Subtract a from both sides[tex]x - a = - 2by^2[/tex]
Divide both sides by -2b[tex]\frac{x - a}{-2b} = y^2[/tex]
Take the square root of both sides[tex]\sqrt{\frac{x - a}{-2b}} = y\\\\\\\mathbf{y = \sqrt{\frac{x - a}{-2b}} }[/tex]
Therefore, making y the subject of the formula, [tex]x = a - 2by^2[/tex] , the answer would be: [tex]\mathbf{y = \sqrt{\frac{x - a}{-2b}} }[/tex]
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An electrician charges a set fee of $150 for every house call and then charges an additional $70 per hour. Write an equation for C,C, in terms of t,t, representing the total cost of the electrician's services if the electrician spends tt hours at the house working.
Answer:
Step-by-step explanation:
c=70t+150
-1/6 times -4/7 in fraction form please!! <3
Write an expression for 4 more than -5x
Answer:
- 5x + 4
Step-by-step explanation:
Step 1:
- 5x
Step 2:
- 5x + 4
Answer"
- 5x + 4
Hope This Helps :)
Saritha will construct a rectangle that has a height of 4 units and an area of up to 48 square units. Which inequality represents all the possible lengths in units of the bases, b, that Saritha can use to construct this rectangle?
Given:
Height of rectangle = 4 units
Area of rectangle up to 48 square units.
To find:
The inequality which represents all the possible lengths in units of the bases.
Solution:
Let the possible lengths in units of the bases be b.
Area of rectangle = Length × width
Here, Height of rectangle = width = 4 units. So, area of rectangle is
[tex]Area=b\times 4[/tex]
[tex]Area=4b[/tex]
Area of rectangle up to 48 square units. It means the area should be less than or equal to 48 square units.
[tex]4b\leq 48[/tex]
Divide both sides by 4.
[tex]b\leq \dfrac{48}{4}[/tex]
[tex]b\leq 12[/tex]
Length can not be negative or zero.
[tex]0<b\leq 12[/tex]
Therefore, the required inequality is [tex]0<b\leq 12[/tex].
Answer:
H) b ≤ 12
Step-by-step explanation:
48/4 = 12.
12 is the only one you can divide into 48 equally.
X 48 ÷ 192: Can't do
X 48 ÷ 44: Can't do
X 48 ÷ 52: Can't do
√ 48 ÷ 12 = 4
Using the graph below which coordinates locate the reflection of point R over the given line?
Answer:
(-4, 0)
Step-by-step explanation:
You can plot the points and choose the one that looks like it's in the right place for a reflection across the line. The line of reflection will be the perpendicular bisector of the segment between R and its image.
In the attached plot, we see that the third choice (point C) is the desired image of R.
a cookie recipe calls for 2/3 cup of brown sugar. sarah is making 1/4 of the recipe. how much brown sugar will she need
Answer:
She will need 1/6 of a cup of sugar to make 1/4 of the recipe.
Step-by-step explanation:
Write and solve an equation of ratios. On the left side we have the ratio of the fraction of the recipe and on the right that of the amount of sugar in each case:
1 recipe 2/3 cup
------------- = -------------
1/4 recipe x
Cross multiplying gives us:
1x = (1/4)(2/3), or
x =2/12 or 1/6
She will need 1/6 of a up of sugar to make 1/4 of the recipe.
A dinner check is to be split among 3 people. Greg’s portion of the check is twice Kelly’s. Joe’s portion is $1.50 less than 4 times Kelly’s. If the total bill is $114.00, how much does each person owe?
Answer:
Kelly owes $16.5
Greg owes $33
Joe owes $64.5
Step-by-step explanation:
Let
Kelly's portion = x
Greg's portion = 2x
Joe's portion = 4x - 1.50
Total bill = $114.00
Total bill = Kelly's portion + Greg's portion + Joe's portion
114 = x + 2x + (4x - 1.50)
114 = 3x + 4x - 1.50
114 = 7x - 1.50
Add 1.50 to both sides
114 + 1.50 = 7x - 1.50 + 1.50
115.5 = 7x
Divide both sides by 7
x = 115.5 / 7
= 16.5
x = $16.5
Kelly's portion = x
x = $16.5
Greg's portion = 2x
= 2 × 16.5
= $33
Joe's portion = 4x - 1.50
= 4(16.5) - 1.50
= 66 - 1.50
= $64.5
Therefore,
Kelly owes $16.5
Greg owes $33
Joe owes $64.5
Consider the function g(x) = -3x - 4 if the domain value is selected from the set {-8, -2, 0, 3}, which of the following is a corresponding range value?
A. 18
B. -10
C. -13
D. -5
Answer:
C. -13
Step-by-step explanation:
Solve for g(x) by replacing x with each domain value in the set. Solving for g(x) will give you these numbers:
{20, 2, -4, -13}
-13 is the only value that appears in the range set and in the multiple choice solutions. Therefore, the answer is C. -13
C. [tex]-13[/tex] is a corresponding range value.
The domain of a function refers to the set of all values for which the function is defined.
The range is the set of all values that function takes for the given values of domain.
Domain is [tex]\boldsymbol{\left \{ -8,-2,0,3 \right \}}[/tex]
[tex]g(x)=-3x-4[/tex]
[tex]g(-8)=-3(-8)-4[/tex]
[tex]=20[/tex]
[tex]g(-2)=-3(-2)-4[/tex]
[tex]=2[/tex]
[tex]g(0)=-3(0)-4[/tex]
[tex]=-4[/tex]
[tex]g(3)=-3(3)-4[/tex]
[tex]=-13[/tex]
Range is [tex]\boldsymbol{\left \{ 20,2,-4,-13 \right \}}[/tex]
So, [tex]\boldsymbol{-13}[/tex] is a corresponding range value.
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please help me out, algebra 2 question #9
Perimeter of rectangle = 26
Length is 7 less than 9 times the width.
We have to find the width of rectangle[tex].[/tex]
_________________________________
Let, width of rectangle be x therefore length of rectangle will be (9x - 7)
We know that, perimeter of rectangle is given by
perimeter = 2 (length + width)⇒ perimeter = 2 (l + b)
⇒ 26 = 2 [(9x - 7) + x]
⇒ 13 = x + 9x - 7
⇒ 20 = 10x
⇒ x = 2 (width)
Cheers!Step-by-step explanation:
Let breadth be x
As it is given that, the Length is 7 less than 9 times :
Therefore, Length will be 9x - 7
Perimeter of reactangle = 26
➳ 2 ( Length + Breadth) = 26
➳ 9x - 7 + x = 26/2
➳ 10x = 13 + 7
➳ 10x = 20
➳ x = 2
Therefore,
Breadth = x = 2 Length = 9x - 7 = 9(2) - 7 = 11solve the equation x-2/3=-3
Answer:
x= -7/3
Step-by-step explanation:
Answer:
- 2 1/3
Step-by-step explanation:
Step 1:
x - 2/3 = - 3
Step 2:
x = - 3 + 2/3
Answer:
x = - 2 1/3
Hope This Helps :)
You pick one card from a standard deck of 52 cards. What is the probability that the card will be a two?
Answer:
4 out of 52 or simplified 2 out of 26
Step-by-step explanation:
There are 4 suites of cards, spades, hearts, clubs, diamonds and there is one card for two in each suite, so we therefore know that the probability of picking a two out of a 52 card deck will be four out of 52 or the simplified answer would be 2 out of 26. Hope this helps, have a great day!
WILL MARK YOU BRAINLIEST
Answer:
it is D I'm pretty sure but ask ZJH to
Answer:
B . [tex]d = \sqrt{x^2+y^2}[/tex]
Step-by-step explanation:
The original formula is
[tex]d = \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2} \\\\x_2-x_1 =x\\y_2-y_1 =y\\\\So... \: ;\\d = \sqrt{x^2+y^2}[/tex]
given f(x)= -4x-10 and f(x)=10. find x
Answer:
x = - 5
Step-by-step explanation:
Given
f(x) = - 4x - 10 and f(x) = 10, the equate right sides, that is
- 4x - 10 = 10 ( add 10 to both sides )
- 4x = 20 ( divide both sides by - 4 )
x = - 5
Use the following conditional:
If a number is odd, then it is an integer and a prime number.
Which is the hypothesis of the conditional?
A. A number is odd.
B. A'number is a prime number.
C. A number is either an integer or a prime number.
D. A number is both an integer and a prime number.
Answer:
a: a number is odd
Step-by-step explanation:
It uses the word IF
1/8 x 8
3/8 x 8
1/8 x 8
3/8 x 8
Step-by-step explanation:
1/8 x 8 = 1
3/8 x 8 = 3
1/8 x 8 = 1
3/8 x 8 = 3
How many seconds of school are left before Thanksgiving break? Assume there are 34 days of school left and we are in school for 7 hours a day.
PLEASE HELP
5 years ago, my grandma was 5 times as old as me. 3 years from now, my grandma will be 3 times as old as me. how old am i now?
Answer:
you would be 2 years older so you would be 7
Step-by-step explanation:
5 - 3 = 2
5 + 2 = 7
I got stuck here on this question... this is Algebra 2 btw
I don’t think this is algebra 2 but ok
37
I used the formula (32°F − 32) × 5/9 = 0°C (but ofc replaced the numbers with 99)
Yeah and i rounded 98.6 to 99. 99 Fahrenheit is 37.2222... so i rounded it down to 37. So i think the answer is 37.
Consider points R, S, and T.
Point S is in the middle. Point R is below and to the left of point S. Point T is below and to the right of point S.
Which statement is true about the geometric figure that can contain these points?
F(x)=-5x+8
What value of x would make f(x)=23?
Need Answers ASAP
Answer:
-3
Step-by-step explanation:
23=-5x+8
23-8=-5x
15=-5x
x=-3
Answer:
x=-3
Step-by-step explanation:
23=-5x+8
-8 -8
15=-5x
______
-5 -5
-3=x
Put the following fractions in order of size starting with the one with the least value 5/16 1/2 3/4 5/8 1/4
Answer:
1/4, 5/16, 1/2, 5/8, 3/4
Step-by-step explanation:
Answer:
1/2 1/4 3/4 5/8 5/16 this is the right answer s
describe an infinite solution
Answer: The first is when we have what is called infinite solutions. This happens when all numbers are solutions. The equation 2x + 3 = x + x + 3 is an example of an equation that has an infinite number of solutions. ...
50-(16 divide 2^2)+3
Answer: 49
Step-by-step explanation:
50−16/4+3
=50−4+3
=46+3
=49
Find the length of the missing side. Sorry, I’m just really bad with algebra!
34.5 km to miles?? Pls help
Answer: 21.44 miles
Step-by-step explanation:hope it helps!
Find the distance between the points (5, 3) and (7,6).
Answer:
[tex]d = \sqrt{13}[/tex]
Step-by-step explanation:
Use the Distance Formula to help you determine the distance between the two following points:
-Distance Formula:
[tex]d = \sqrt{(x_{2} - x_{1})^2 + ( y_{2} - y_{1})^2}[/tex]
(where [tex](x_{1}, y_{1})[/tex] represents the first point and [tex](x_{2}, y_{2})[/tex] represents the second point)
-Apply the two following points onto that equation:
[tex]d = \sqrt{(7 - 5)^2 + (6 - 3)^2}[/tex]
[tex](x_{1}, y_{1}) = (5, 3)[/tex]
[tex](x_{2}, y_{2}) = (7, 6)[/tex]
-Solve the equation:
[tex]d = \sqrt{(7 - 5)^2 + (6 - 3)^2}[/tex]
[tex]d = \sqrt{2^2 + 3^2}[/tex]
[tex]d = \sqrt{4 + 9}[/tex]
[tex]d = \sqrt{13}[/tex]
So therefore, the distance is [tex]\sqrt{13}[/tex].
Some different ways to make 7,502
The record high temperature in Alabama is 112°F and the record low temperature is −27°F. What is the difference between the highest and lowest temperature?
The difference between the highest and lowest temperature is 85°F.
Answer: 139F
Step-by-step explanation: You take 112F, and add negative which is -27F and you get the difference.
8 x 10^4 is how many times as large as 4 x 10^-5
Answer:
2 x 10^9
Step-by-step explanation:
There 8 × 10⁴ would be 10⁹ times as large as 4 × 10⁻⁵ which is determined by the division operation.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.
For example 4/2 = 2
We have to determine 8 × 10⁴ is how many times as large as 4 × 10⁻⁵
Apply the division operation to get
⇒ 8 × 10⁴ ÷ 4 × 10⁻⁵
⇒ (8 × 10⁴) / (4 × 10⁻⁵)
Reduce the term of the numerator
⇒ ( 10⁴) / (10⁻⁵)
⇒ ( 10⁴) × (10⁵)
⇒ ( 10⁴⁺⁵)
⇒ 10⁹
Hence, there 8 × 10⁴ would be 10⁹ times as large as 4 × 10⁻⁵ which is determined by the division operation.
To learn more about the division operation click here :
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What is the opposite of 8.4
Answer:
-8.4
Step-by-step explanation:
Because if you want to find the opposite of a number then you find that same number on the other side on the number line for example, -4.5 you would go on the other side and you would get positive 4.5
Answer:
If you're refering to the additive inverse then it's, -8.4
Step-by-step explanation:
To get an additive inverse or more so an opposite, you simply add the negative to the original for 0.
Example: 8.4 + -8.4 = 0