Answer:
x = 53/5
Step-by-step explanation:
see pic
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
x + y = -4
Answer:
y = -x - 4
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
x + y = -4
Step 2: Rewrite
Find slope-intercept form
Subtract x on both sides: y = -x - 4Explain it too and is it x method?
Which best fits in those boxes to find 46x93?
Answer:
Step-by-step explanation:
1.24
Answer:
3600
540
120
18
4278
Step-by-step explanation:
The area of a rectangular warehouse measures 4,288 square feet. The width of the warehouse is 64 feet long. Draw a model to represent the problem, and then solve for the length of the warehouse.
Answer:
67 feet
Step-by-step explanation:
Step one:
given
The area of a rectangular warehouse measures 4,288 square feet
The width of the warehouse is 64 feet long.
Required:
the length of the warehouse
Step two:
The expression for the area of a rectangle is
A= L*W
so, for the situation
4,288= L*64
solve for L
divide both sides by 64
L= 4,288/64
L=67 feet
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-15x^2+801x-5900
Answer:
The widgets should be sold for $26.7 for the company to make the maximum profit.
Step-by-step explanation:
Given the quadratic equation
[tex]f\left(x\right)=-15x^2+801x-59000[/tex]
As the leading coefficient is (-3), so the graph would be a downward Parabola.
Thus, the maximum profit would be at the vertex.
The selling price 'x' can be determined by determining the x-coordinate of the vertex.
In order to calculate the x-coordinate of the vertex, we can find this by
x = -b/2a
where a = -15 and b = 801
x = -801 / 2(-15)
x = -801/-30
x = 801/30
x = 267/10
x = 26.7
Therefore, the widgets should be sold for $26.7 for the company to make the maximum profit.
Figure ABCD is a trapezoid. Find
the value of x.
Answer:
Step-by-step explanation:
because we have a kite,
AB=AD
4x=x+15
4x-x=15
3x=15
x=5
the value of a second-hand car is £8000. Each year it loses 20% of its value at the start of this year. work out its value in 5 years time
pls answer,I will also mark the brainest and I will rate 5 out of 5 stars pls show working out
Answer:
the value in the five years is £2,621.44
Step-by-step explanation:
The computation of the value in the five years is given below:
= The value of the second car × (1 - losses percentage)^number of years
= £8,000 × (1 - 0.20)^5
= £8,000 × 0.80^5
= £8,000 × 0.32768
= £2,621.44
Hence, the value in the five years is £2,621.44
We simply applied the above formula so that the correct value could come
And, the same is to be considered
The regular price of a jacket is $62.00. If the discount rate is 15%, how much was the discount?
Discount amount = price x discount percentage as a decimal:
Discount amount = 62.00 x 0.15 = 9.30
Discount = $9.30
Answer:
$52.70
Step-by-step explanation:
Given the relation y = −4x2 − 8, if the input is 2, what is the output? (4 points) 8 −8 −16 −24
Answer:
-4x^2 - 8......input (x) = 2
Step-by-step explanation:
-4(2^2) - 8 =
-4(4) - 8 =
-16 - 8 =
- 24 <==
i hope this helps you :)
I NEED THIS QUICK PLEASE ILL MARK YOUR BRAINLY
The sum of 2 numbers is 96. The larger number is 9 less than 4 times the smaller. Find both numbers.
Answer:
75 & 21
Check:
75 + 21 = 96
21 * 4 - 9 = 75
Correct!
Answer:
the smaller number is 21 and the larger number is 75
Step-by-step explanation:
First make a simple equation where x = the smaller number and y = the larger number
ie: 96=x+y
Now make an equation to find the larger number.
ie: y=4x-9
Now substitute the y value in the first equation for the y value in the second equation
ie: 96=x+(4x-9)
Then solve for x
ie: x=21
Then plug in your new x value into the first or second equation to solve for y.
ie: 96=21+y
ie: y=75
Share $112 in the ratio 10:18 PLZ HELP
Answer:
$40 and $72, see below :)
Step-by-step explanation:
One way we can do this is to add the total ratios and then divide that from 112.
10x + 18x = 28x = 112
28x = 112
x = 4
That means, for every ratio, you just have to multiply the amount by 4.
so for example, 10 is just 10 * 4 = 40
So, your answer would be you share the money into $40 and $72
where does (3.5,1.75) go on a coordinate plane?
Solve for V in V= s^3, if s= 4.
V=
Answer:
64
Step-by-step explanation:
v = s^3
v = (4)^3 [4x4x4]
v = 64
What is x, the distance between points A and A'? 2.4 units 4.8 units 13.6 units 14.4 units
Answer: the answer is 13.6 units
Step-by-step explanation:
Answer:
C. 13.6 units
Step-by-step explanation:
i took the quiz on edge
A ladder 12 m long is propped up against a building at an angle of 15°. How far up the wall does the ladder go?
The ladder can go as far as 3.1m
Application of SOH CAH TOAThe given set up is. a triangle with the following parameters
Angle of elevation = 15 degrees
Hypotenuse = 12m
Required
Height of the building
Using the expression
sin theta = opp/hyp
sin 15 = h/12
h = 12sin15
h = 3.1m
Hence the ladder can go as far as 3.1m
Learn more on SOH CAH TOA here: https://brainly.com/question/20734777
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Factor completely 3x^2+y
A.) x(3x+y)
B.) y(3x^2)
C.) xy(3x+1)
D.) prime
Answer:
Non of the above
Step-by-step explanation:
[tex]3 {x}^{2} + y \\ = x(3x + \frac{y}{x} ) \\ or \\ = y( \frac{ 3{x}^{2} }{y} + 1)[/tex]
Answer:
D. Prime
I just took the test
Step-by-step explanation:
| n-3 |=2 solve and show work please
Answer:
n = 5 ; n = -1
Step-by-step explanation:
n - 3 = 2
When you transfer (-3) to the other side of the equation, it turns into (+3).
n = 2 + 3
Evaluate.
n = 5
n + 3 = 2
When you transfer (+3) to the other side of the equation, it turns into (-3).
n = 2 - 3
Evaluate.
n = -1
Answer:
x=5
x=1
Step-by-step explanation:
|x-3|=2
x-3=2
x-3=-2
x=5
x=1
Given f of x equals 5 times x minus 6 for x less than 3, equals x squared for x between 3 and 5 inclusive, and equals 2 times x plus 15 for x greater than 5 find f '(x) and give its domain.
Answer:
D. 5 for x less than or equal to 4, equals 2x for x between 4 and 6 including 6, and equals 4 for x greater than 6 Domain: All real numbers.
Step-by-step explanation:
Find the complete diagram attached
First we need to get the derivative of the functions
For the function f(x) = 5x - 6
Using the formula
If f(x) = axⁿ
f'(x) = naxⁿ⁻¹
For the function f(x) = 5x - 6
f'(x) = 1(5)x¹⁻¹
f'(x) = 5x⁰
f'(x) = 5
For the function f(x) =x²-2
f'(x) = 2x²⁻¹
f'(x) = 2x
For the function f(x) = 4x+10
f'(x) = 1(4)x¹⁻¹
f'(x) = 4x⁰
f'(x) = 4
Get the domain
The domain is the value of the input variable x for which the functions exists. For the functions given, the domain will be on all real numbers i.e the functions will exists for any value of x on the number line.
Hence Option D is correct
Answer:
Was the answer above correct????
Step-by-step explanation:
The temperature on the moon can vary from -172°C to -126°C. Find the difference between the maximum and minimum temperature.
I really need step by step explaining please!! :D
Answer:
The range is 46
Step-by-step explanation:
-172 is the minimum
-126 is the maximum
subtract -126 by -172 and you get 46
what are the intercepts of the equation
-2A+2y = -8
x-2y=3
4x -8y = 12
Substitution
Answer:
Solution in photo
Step-by-step explanation:
A polynomial function is also:
a. infinite.
d. indiscriminate.
c. rational.
d. irrational.
Answer:
A. Infinite
Step-by-step explanation:
First lets define a polynomial function. A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation.
Well Infinite functions are functions that have an answer of all real numbers right? So that would make sense.
Honestly I've never heard of an indiscriminate.
Irrational function has answers that can only be zero or above never negative because its inside a radical sign and radical answers can't be negative. If you've ever seen the graph of an irrational function though it looks nothing like a polynomial.
A rational function is a function that the polynomial in it does not equal zero.
A polynomial function is not always a rational function though. But it can be.
I hope this helps. <3
The Polynomial function is also a :
Rational Function
What is Discriminant in Math?Discriminant of a polynomial in math is a function of the coefficients of the polynomial.
There can be irrational Coefficient in a polynomial.
Yes, All polynomials are rational expressions but all rational expressions need not be polynomials.
Consider a polynomial p(x).This can be written as a rational expression as p(x)/1.
So, The Polynomial function is also a :
Rational Function
Learn more about Polynomial function at:
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I need help with math
Step-by-step explanation:
Q1
A. x must be 0
B. x can be any number. it because every number times by 0 will be 0
Q2
(2⁸ . 5-⁵ . 19⁰)-² . (5-²/2³)⁴ . 2²⁸ =
2-¹⁶ . 5¹⁰ . 1 . 5-⁸ . 2-¹² . 2²⁸ =
2-¹⁶-¹²+²⁸ . 5¹⁰-⁸ =
2⁰ + 5² = 25
Q3
4.55 x 10¹³ - 1.78 x 10¹² =
45.5 x 10¹² - 1.78 x 10¹² =
43.72 x 10¹²
4,37 x 10¹³ kg
Q4
A. 3.9 x 10³³ ergs/s x 2.45 x 10⁵ s = 9.555 x 10³⁸
or in scientific we can write 9.56 x 10³⁸ ergs
B. 7.4 x 10-³ mm. Because the blood cell is a tiny part in.our body. it's impossible to have a cell blood of 7.4 x 10³ mm or 7.4 meters in diameter
please help me with this question
Answer:
B. 36
Step-by-step explanation:
Which is the equation of a hyperbola with directrices at y = ±2 and foci at (0, 6) and (0, −6)?
Given:
Hyperbola with directrices at y = ±2 and foci at (0, 6) and (0, −6).
To find:
The equation of hyperbola.
Solution:
We have, directrices at y = ±2 so this hyparabola is along the y-axis.
The standard form of hyperbola is
[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex] ...(i)
where, (h,k) is center, foci are [tex](h,k\pm c)[/tex] and directrix are [tex]y=k\pm \dfrac{a^2}{c}[/tex].
On comparing foci, we get
[tex](h,k\pm c)=(0,\pm 6)[/tex]
[tex]h=0,k=0,c=6[/tex]
On comparing directrix we get
[tex]k\pm \dfrac{a^2}{c}=\pm 2[/tex]
[tex]\dfrac{a^2}{c}=2[/tex]
[tex]\dfrac{a^2}{6}=2[/tex]
[tex]a^2=12[/tex]
Now,
[tex]a^2+b^2=c^2[/tex]
[tex]12+b^2=(6)^2[/tex]
[tex]b^2=36-12[/tex]
[tex]b^2=24[/tex]
Putting [tex]h=0,k=0,a^2=12,b^2=24[/tex], we get
[tex]\dfrac{(y-0)^2}{12}-\dfrac{(x-0)^2}{24}=1[/tex]
[tex]\dfrac{y^2}{12}-\dfrac{x^2}{24}=1[/tex]
Therefore, the equation of hyperbola is [tex]\dfrac{y^2}{12}-\dfrac{x^2}{24}=1[/tex].
Answer:
the person above has the right answer. I took the test.
Step-by-step explanation:
The person above is correct.
Choose all of the equations for which x = 2 is a solution.
A. x + 3 = 5
B. +2 = 8
C. X+1=1
D. x - 2 = 4
EX - 7= -5
HELP FAST DUE IN 5 MINS ! URGENT!!!! BRAINLIEST!!
Juan deposited $2,250 in the bank to celebrate the birth of his son. After three years, he received his statement and the bank said he had $2,587.50 in the account.
How much interest did Juan earn in three years?
How much interest did Juan earn per year?
What was the interest rate?
Question
Juan deposited $2,250 in the bank to celebrate the birth of his son. After three years, he received his statement and the bank said he had $2,587.50 in the account.
How much interest did Juan earn in three years?
How much interest did Juan earn per year?
What was the interest rate?
Answer: GOOD LUCK
337 and 112.33
Answer:
337 and 112.33
Step-by-step explanation:
First answer is 337 u take the difference between the 2 numbers. And the interest is 112.33 per year u divide the interest by 3. I hope this helps.
Pleaseeeee helppppp Asapppp!!!!!
What is the midline of this function ??
The midline is the line Y=0 .
(That's the x-axis.)
At the end of a football season a coach is adding up everyone's scores nathan has scored 11 more than harry harry has scored 10 more then jack. If the total of their scores is 91, how much did harry score
Answer:
Harry has a score of 30
Step-by-step explanation:
Let us represent their scores as:
Nathan = x
Harry = y
Jack = z
At the end of a football season a coach is adding up everyone's scores
Nathan has scored 11 more than harry
x = y + 11
Harry has scored 10 more then jack.
y = z + 10
z = y - 10
If the total of their scores is 91
x + y+ z = 91
y + 11 + y + y - 10 = 91
3y + 1 = 91
3y = 91 - 1
3y = 90
y = 90/3
y = 30
Since Harry's score is represented as y, Harry has a score of 30
The graph of a linear system is shown.
What is the solution to this linear system? Enter a value in each box to create an ordered pair.
( , )
Answer:
(1, 2)
Step-by-step explanation:
From the graph attached,
Two lines are representing linear system of equation.
Since, solution of any system of linear equations is a common point of the two lines.
In other words, point of intersection of these lines represent the solution of linear system of equations.
Solution of the linear system of equations → (1, 2)