Answer:
The graph of the system in the attached figure
Step-by-step explanation:
we have
isolate the variable y
----> equation A
This is the equation of a vertical parabola open down (because the leading coefficient is negative)
The vertex represent a maximum
the vertex is the point (0,2)
---> equation B
This is the equation of a circle centered at (0,0) with radius 3 units
The solution of the system of equations is the intersection points both graphs
using a graphing tool
The solutions are the points (-2.05,-2.19) and (2.05,-2.19)
see the attached figure
Answer:
It's C!
Step-by-step explanation:
Just got it right :>
Your weekly base salary is $150. You earn $20 for each phone you taht you sell. The company policy is that as a part-time employee , the maximum you can earn each week is $950
Write and solve an inequality that represents the number of cell phones you can sell each week.
Answer:
You can sell at least 40 phones each week.
Step-by-step explanation:
Given that:
Weekly base salary = $150
Earning on each phone = $20
Maximum amount that can be earned each week = $950
Let,
m be the number of phones.
20m + 150 ≤ 950
20m ≤ 950 - 150
20m ≤ 800
Dividing both sides by 20
[tex]\frac{20m}{20}\leq \frac{800}{20}[/tex]
m ≤ 40
Hence,
You can sell at least 40 phones each week.
31
1/20
What is the x-value of the system of equations shown below?
2x + y = 6
y = 3x - 4
3
-2.
2.
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Answer:
x=2
Step-by-step explanation:
First you put the equations in the form of y = mx + b
Then once they are like that it would look like:
y = -2x + 6
y = 3x - 4
So then you can set them equal to each other and it will look like this:
-2x + 6 = 3x - 4
Then you add 2x to both sides and get:
6 = 5x - 4
Next, add 4 to both sides and get:
10 = 5x
So then you will simplify by dividing both sides by 5 and getting:
2 = x
PLEASE I NEED HELP.
Which expression
uses the associative property to make it easier to evaluate
140 . )?
A. (141)
O B.76 : )
C. (143)
O D. 14 : )
Answer:
I believe it is D.
Step-by-step explanation:
The associative property switches around the order of the digits to make the problem easier. In my opinion it is easiest to multiply the fractions together, and then the whole number.
Please help it's easy!
Step-by-step explanation:
[tex] - \frac{1}{4} \times ( - \frac{6}{11} )[/tex]
[tex] \frac{1}{2} \times \frac{3}{11} [/tex]
[tex] \frac{3}{22} [/tex]
Answer:
3/22
Step-by-step explanation:
Evaluate (5 + 2) to the power of 2 - 40 + 3 =
Answer:
12
Step-by-step explanation:
(5+2)^2 - 40 + 3
= 7^2 - 40 + 3
= 49 - 40 + 3
= 49 - 40
= 9+3
= 12
How many 1/2's are in 3 1/2? *
Answer:
Step-by-step explanation:
7
Answer:
7
Step-by-step explanation:
3.5 divided by .5
i don’t know how to do this and it’s due in an hour someone help please
Answer:
912 divided byt he square root of AB to 5^2
Step-by-step explanation:
Answer:
AB to 5^2
Step-by-step explanation:
Flattykawa -_-
At the end of 2005, this price was `\$513.` At the end of 2015, it was `\$1060.` By what percentage did the price per ounce of gold increase?
Answer: The price per ounce of gold increases by 106.63%.
Step-by-step explanation:
Given: Price in 2005 = $ 513
Price in 2015 - $ 1060
Now , [tex]\text{Percentage increase in price}=\dfrac{\text{Change in price}}{\text{ Initial price}}\times100[/tex]
[tex]\Rightarrow\ \text{Percentage increase in price}=\dfrac{1060-513}{513}\times100\\\\=\dfrac{547}{513}\times100\\\\= 1.0663\times100\%=106.63\%[/tex]
hence, the price per ounce of gold increases by 106.63%.
Here is a list of numbers:
4.6, 3.9, 6.8, 8.6, 3.5, 0.8, 8.5, 2.8, 2.6
State the mediant
Answer:
median is 3.9
Step-by-step explanation:
You arrange them all from the smallest to the biggest, then cross out pairs from each side till you get the one in the middle
0.8, 2.6, 2.8, 3.5, 3.9, 4.6, 6.8, 8.5, 8.6
-324/18
Plz show all the steps of how you got the answer.
Answer:
-18
Step-by-step explanation:
Step 1 - divide the numerator and denominator by 18
-324÷18 / 18÷18
Step 2 - divide the numbers
-18 / 18÷18
-18/1
any expression divided by 1 remains the same
-18
Please help me with the questions please
Answer:
50,373 feet
Step-by-step explanation:
tan 15° = 13500 / x
.268 = 13500 / x
x = 50,373
Drag numbers to write an equation for the line in slope-intercept form. Numbers may be used once, more than once, or not at all.
Graph of a diagonal line with x-axis and y-axis. A line is passing through co-ordinates (0,5) and (2,-3).
Answer:
y = -4x + 5
Step-by-step explanation:
Here, we want to get the equation of the line that passes through the given points
The general form is;
y = mx + b
where m is the slope and b is the y intercept
To find the slope, we use the slope formula
this is ;
m = (y2-y1)/(x2-x1)
(x1,y1) = (0,5)
(x2,y2) = (2,-3)
m = (-3-5)/(2-0) = -8/2 = -4
To get the y-intercept we simply substitute one of the points
But we know that the y-intercept is the y-value when x = 0
From the point we can see (0,5) which means that the y-intercept is 5
so the equation of the line is;
y = -4x + 5
The equation of the graph in slope intercept form is y = -4x + 5
Using slope intercept equation
y = mx + b
where
m = slope
b = y- intercept
Therefore,
Let's take 2 coordinates to get the slope.
(1, 1)(0, 5)
y-intercept = 5
Therefore,
m = 5 - 1 / 0 - 1 = - 4
y = -4x + 5
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Solve for n: 2n < 6
Math pls answer this
Answer:
n can be a number less than 3
Step-by-step explanation:
Hope this helps!
Answer:
N<3
Step-by-step explanation:
Which of the following sides of a triangle form a right triangle?
a.) 2.1, 7.2, 7.5
b.) 6, 8, 10
c.) 6.4, 12, 12.2
d.) 9, 11, 15
what is the answer to 5--4
Answer:
9
Step-by-step explanation:
if you have two negatives next to eachother, the equation now adds like 5+4. 5+4=9
The Benton family uses up a 1/2 gallon jug of milk every 3 days. At what rate do they drink milk?
Answer:
1/6
Step-by-step explanation: in a rate you need to make it a one so you double the 1/2 gallon to make it one gallon then since you doubled that you have to double the days to 6. So they drink 1 gallon per 6 days.
Find the value of p and q such that
2x^2 - 4x + 3= 2 (x-p)^2 + q
PLEASE ANSWER!!!
Answer:
The values of p and q such that 2·x² - 4·x + 3 = 2·(x - p)² + q, are;
p = 1, q = 1
Step-by-step explanation:
The given equation are;
2·x² - 4·x + 3 = 2·(x - p)² + q
By expanding the right hand side of the equation, we have;
2·x² - 4·x + 3 = 2·(x - p)² + q = 2·x² - 4·p·x + 2·p² + q
2·x² - 4·x + 3 = 2·x² - 4·p·x + 2·p² + q
Comparing the coefficient of x in both equations, gives;
2·x² + (- 4)·x + 3 = 2·x² + (- 4·p)·x + 2·p² + q
-4 = -4·p
∴ p = -4/(-4) = 1
p = 1
Comparing only the constant terms (terms not multiplied by "x" or "x²"), we get;
3 = 2·p² + q
Substituting the value for "p" obtained above (p = 1 ) in the previous equation, we get;
3 = 2 × 1² + q = 2 + q
∴ q = 3 - 2 = 1
q = 1.
the volume of a box is 45x^3 + 198x^2 + 189x. find expressions for the possible dimensions of the prism
Answer:
length, width, and height are (b+2), (b-2), (b+3)
Step-by-step explanation:
Doing what the problem statement tells you to do, you get ...
(b^3 +3b^2) -(4b +12)
= b^2(b +3) -4(b +3) . . . factor each pair of terms
= (b^2 -4)(b +3) . . . write as a product
= (b -2)(b +2)(b +3) . . . use the factoring of the difference of squares
The three factors are (b-2) , (b+2) , and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.
The possible dimensions of the prism are:
Length: 9x, 5x + 7, or x + 3
Width: 5x + 7, x + 3, or 9x
Height: x + 3, 9x, or 5x + 7
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
To find the possible dimensions of the prism, we need to factor the given volume expression into three factors, each representing the length, width, and height of the box.
We start by looking for common factors among the coefficients of the three terms:
45x³ + 198x² + 189x
= 9x (5x² + 22x + 21)
Now we can factor the quadratic expression inside the parentheses:
5x² + 22x + 21
= 5x² + 15x + 7x + 21
= 5x(x + 3) + 7(x + 3)
= (5x + 7) (x + 3)
The volume expression can be factored as:
45x³ + 198x² + 189x
= 9x (5x + 7) (x + 3)
Thus,
The possible dimensions of the prism are:
Length: 9x, 5x + 7, or x + 3
Width: 5x + 7, x + 3, or 9x
Height: x + 3, 9x, or 5x + 7
Learn more about prism here:
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30 POINTS Math question algebra 2
Please, I would appreciate if you don't do unhelpful answers. I appreciate the help buddy :)
Answer:q=-6
Step-by-step explanation:
If the solution of the system is {(x,y) : x-3y=4}, then both equation should have proportional coefficients:
[tex]1/2=-3/q=4/8[/tex]
Solve it:
1/2 = -3/q
q=-3*2
q=-6
Check whether q=-6 is correct answer, substituting this value into the first ratio:
[tex]1/2=-3/-6=4/8[/tex]
q=-6
hope this helps,
have a great day,
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Answer:
Q = 2Step-by-step explanation:
If the solution to the system is the first equation only, then both equations should be same:
x - 3y = 4Qx - 6y = 8Double the first equation, then both of coefficients of y and constant will be equal:
2x - 6y = 8Qx - 6y = 8Comparing we get Q = 2
What number is missing from the table of equivalent ratios?
A. 2
B. 5
C. 7
D. 13
Answer:
Step-by-step explanation:
The answer would be 5 because 14/7=2 and 6/3=2 and 10/ 2 =5 so 5
Paula says that 2/3 is equivalent to 4/9 because 4 is a multiple of 2 and 9 is a multiple of 3. explain her error.
Answer:
Paula is wrong because, in order to be equivalent, the nominator and denominator of a fraction must have to be multiplied by the same number.
Step-by-step explanation:
Paula is wrong because, in order to be equivalent, the nominator and denominator of a fraction must have to be multiplied by the same number.
4/9 is basically obtained when we multiply the denominator of 2/3 by 2 and denominator by 3, which is wrong.
Thus, the correction is as follows:
Given the fraction
[tex]\frac{2}{3}[/tex]
Multiply the nominator and denominator of the fraction by 2
[tex]\frac{2\times 2}{3\times 2}=\frac{4}{6}[/tex]
Thus, the 4/6 is the correct equivalent expression of 2/3.
what is the value of (f – 9)(144)?
Simplify this expression:
6x-8y-5x+3y
Answer:
x-5y
Step-by-step explanation:
Answer:
[tex]x-5y[/tex]
Step-by-step explanation:
[tex]6x-8y-5x+3y[/tex]
[tex]6x-5x-8y+3y[/tex]
[tex]x-5y[/tex]
Lin and Elena have discovered they have so much in common. They each have a fish tank holding 20 units of water. Whose tank holds 20 gallons, and whose holds 20 cups?
Answer: a. Lin's tank hold 20 cups and Elena's tank hold 20 gallons; I know this because gallons are greater than cups.
Step-by-step explanation:
Gallons are greater than cups so the fish tank that will hold 20 gallons would have to be the bigger one which in this case is Elena's.
With cups being lesser in quantity than gallons, the fish tank that will hold 20 cups of water will definitely have to be the smaller one which in the case is Lina's.
Lance has 12 boxes of comic books. Each box has 40 comic books in it.
How many comic books does Lance have?
Answer:
480
Step-by-step explanation:
12*4=48 then add a zero to the end of it
hope that helps!
happy new year!
Answer:
Lance has 480 comic books.
Step-by-step explanation:
Multiply 12 by 40:)
What is the slope of the line
Answer:
Positive, Upward Slope.
Step-by-step explanation:
Answer:
the slope of a line shows how steep a straight line is, or the direction of a straight line
4. Chrissy had 4 gallons of gas in her tank when she arrived at the
gas station. She pumped gas into her car at a rate of 0.3 gallon per
second. How many gallons of gas were in the tank after s seconds?
Hi. I need help with this question (see image). Please show workings.
Answer:
[tex]\frac{dy}{dx}[/tex] = 8(2x + 3)³
Step-by-step explanation:
Differentiate using the chain rule
Given
y = f(g(x)) , then
[tex]\frac{dy}{dx}[/tex] = f'(g(x)) × g'(x)
Here
f(x) = [tex](2x+3)^{4}[/tex] ⇒ f'(x) = 4(2x + 3)³
g(x) = 2x + 3 ⇒ g'(x) = 2
Thus
[tex]\frac{dy}{dx}[/tex] = 4(2x + 3)³ × 2
= 8(2x + 3)³
(2k^3 - 7k^2 + 3k) - (-4k^2 + 5k) in polynomial standard form PLEASE HELP
Answer:
2 k 3 − 3 k 2 − 2 k
Step-by-step explanation:
Answer: ...
2k^3−3k^2−2k
Identify the slope in the equation y=-7/3x +5 5 -5 7/3 -7/3
Answer:
-7/3
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = -7/3x + 5
Step 2: Break Function
Identify Parts
Slope m = -7/3
y-intercept b = 5