Answer:
The correct constraint is:
0 ≤ x ≤ 15
Step-by-step explanation:
The function given to us in the question is:
y = -2x² + 30x + 200
It is given that the function is at least 200, we can write is as:
-2x² + 30x + 200 ≥ 200 ⇒ Equation (i)
To find the constraint, replace ≥ sign with = sign and solve for x:
-2x² + 30x + 200 = 200
-2x² + 30x = 0
x(-2x + 30) =0
x = 0 , -2x + 30 = 0
x = 0 , -2x = -30
x = 0 , x = -30/-2
x = 0 , x = 15
So the end values of constraint are 0 and 15.
Take any value between 0 and 15 and substitute in equation (i) to see whether it satisfies the equation or not.
-2x² + 30x + 200 ≥ 200
Substitute x = 5 in the equation:
-2(5)² + 30(5) +200 ≥ 200
-50 + 120 +200 ≥ 200
270 ≥ 200
As the equation satisfies. it means that the solution lies between 0 and 15, including the end values.
Hence.
0 ≤ x ≤ 15
Answer:
0 ≤ x ≤ 15
Step-by-step explanation:
got it right on flvs
Sara's little brother is getting ready to color a picture of a rainbow that Sara drew for him. To make the task easier for her brother, Sara picks out
7 different colored crayons that match the colors of the rainbow and places them in a box. She asks her brother to randomly pick two crayons
from the box, one after the other.
The probability that the first color is violet and the second is orange, If the first crayon is replaced, is
The probability that the first color is violet and the second is orange, If the first crayon is not replaced, is
Answer:
1/14 or 7%.
Step-by-step explanation:
violet crayon probability: 1/7
Orange probability: 1/7
Violet, then orange probability: 1/14
1/14 = about 7%
Check all of the ordered pairs that satisfy the equation below.
y= 7x
Answer:
Step-by-step explanation:
im pretty sure its A, B, D
Hope this helps!
-Delilah
find the median if this set of numbers: 7, 6, 19, 12, 16, 19, 19, 6
Answer:
20
Step-by-step explanation:
Order the numbers from smallest to largest, then cross one number off until you have one or two numbers left.
If there is an EVEN number of numbers(like this one): there will be two numbers left, therefore you add those two numbers together, then divide by two.
If there is an ODD number of numbers: there will be one number left, therefore that is your answer!
Hope this helps!
-PusheenDaCat1017
Which expression shows the sum of the polynomials with like terms grouped together? (8x+3z-8z^2)+(4y-5z)
Answer:
[tex]8x+4y-2z-8z^2[/tex]
Step-by-step explanation:
Given
[tex](8x+3z-8z^2)+(4y-5z)[/tex]
Required
Write an expression that shows their sum
[tex](8x+3z-8z^2)+(4y-5z)[/tex]
Open Brackets
[tex]8x+3z-8z^2+4y-5z[/tex]
Collect Like Terms
[tex]8x+3z-5z-8z^2+4y[/tex]
[tex]8x-2z-8z^2+4y[/tex]
Reorder the polynomial
[tex]8x+4y-2z-8z^2[/tex]
Hence, [tex]8x+4y-2z-8z^2[/tex] is equivalent to [tex](8x+3z-8z^2)+(4y-5z)[/tex]
Answer:
D
Step-by-step explanation:
answer on edge
Explain how you can determine how much chicken salad
may be purchased for $52.50.
Answer:
Depending on how much chicken salad can be purchased for $0.50, you multiply that number by $52.50/0.50.
Step-by-step explanation:
divide x^3/4 over x^1/6
Answer:
A
Step-by-step explanation:
[tex]\frac{x^{\frac{3}{4} } }{x^{\frac{1}{6} } } = x^{\frac{3}{4} - \frac{1}{6} \\[/tex]
[tex]\frac{3}{4} - \frac{1}{6} = \frac{(3 * 6) - (4 * 1)}{(4 * 6)}[/tex]
[tex]\frac{18 - 4}{24} = \frac{14}{24} = \frac{7}{12}[/tex]
How would you graph y = -3x + 4? (With visual, please; will give brainliest!)
Answer:
Step-by-step explanation:
1. Start with the y-intercept, (0,4), plot it on the y-axis.
2. Then using the slope you can find more points on the graph.
- Start with simple x coordinates such as 1,2,3...
- plug each into the equation to find the y cooridnate that makes the x coordinate true.
- write each as a coordinate pair and then plot each pair on the graph.
( you may want to use some negative values for x in order to have ease graphing)
- once you have as many points as you desire, must have atleast 2, draw a line connecting each point.
Which describes renting?
a) a refundable amount paid in advance to protect the owner from damage or nonpayment
b) using a person’s property for a fee
c) a service such as electricity
d) a written agreement that allows a tenant to use a property for a set period of time
Answer:
d) a written agreement that allows a tenant to use a property for a set period of time.
Jerry borrowed $8,000 for 5 years at 6.5% simple interest rate. How much interest is that?
The answer is $2600
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
$ 2600Step-by-step explanation:
[tex]p = 8000 \\ r = 6.5\% \\ t = 5 \: \: years[/tex]
[tex] \frac{prt}{100} \\ = \frac{8000 \times 6.5 \times 5}{100} \\ = 2600[/tex]
How is the product related to the first factor? 4/5 x 4/11
Answer
The product of the two factors with be a multiple of the first factor. That is, the product when divided by the first factor, will result in zero as the remainder. In this case, the product is 16/55 which is a multiple of 4/5.
Which equation is a linear function?
Answer:
y = xStep-by-step explanation:
In general ,A linear function has the form y = ax + b
so ,the functions :
y = √x
y = x²
y = x³
don’t meet the requirements of the definition
therefore none of them is linear.
but y = x is a valid choice (just put a = 1 and b = 0 in the expression y = ax + b)
Do the following points belong to the graph of the function f(x)=13−5x ? (-2,23)
Answer:
Yes!
Step-by-step explanation:
When we have problems like this we just plug them in. We take the -2 and we multiply it by the -5 to get a positive 10. We then add that to the +13 and it equals 23, so it works!
Please help in simplify these expressions
Answer:
1. 2y^2 x 3y
6y^2 x y
6y^3
2. (7x^5) (2x^2)
14x^7
Step-by-step explanation:
Answer:
[tex]2y^2 \cdot 3y\\6y^3[/tex]
[tex](7x^5)(2x^2)\\14x^7[/tex]
f(x) = 3x + 2 and g(x) = x + 5
g[f(x)] =
A. 3x + 7
B. 3x + 17
C. 4x + 7
Answer:
A
Step-by-step explanation:
g[f(x)]=g(3x+2)=3x+2+5=3x+7
The function defined by g[f(x)] is equal to 3x+7. hence the correct option is A.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
We have been given the function as
f(x) = 3x + 2 and g(x) = x + 5
We need to find the function defined by g[f(x)]
g[f(x)] = g(3x+2)
g[f(x)] =3x+2+5
g[f(x)] = 3x+7
Therefore, the function defined by g[f(x)] is equal to 3x+7. hence the correct option is A.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ2
CAN SOMEONE help me with my homework, is there an association between extra practice time and being a starting player explain
Which of the following statements is true about the function presented in the table?
a. The slope of the function is 4 and the y-intercept is 2.
b. The slope of the function is 4 and the y-intercept is -2.
c. The slope of the function is -2 and the y-intercept is 4.
d. The slope of the function is 2 and the y-intercept is 4.
Answer:
C. The slope of the function is -2 and the y-intercept is 4.
Explanation:
The y-intercept is the point when x = 0. On the table when x is 0, y is 4.
The slope of the function is -2 because the y value is going down by 2 for each +1 of x.
x │ y
-2 │ 8
0 │ 4
↓ +1 ↓ -2
1 │ 2
↓ +1 ↓ -2
2 │ 0
What's the rule?
25, 20, 15, 10
Answer:
subtract 5
Step-by-step explanation:
Hello
I think I can help you here.
The answer is:
The rule is 5!
Step-by-step explanation:
It goes up in 5's each time. The 5 times table.
Please mark my answer.
Cheers, Jake
Please help 50 points!!
Answer:
the first one
Step-by-step explanation:
Since x can be any value, -infinity must be less than x because you can always subtract 1 from x. Also, infinity must be more than x because you can always add 1 to x.
Answer:
The third option is the correct answer because it is proving the property.
Thank you
I've answered as fast as I can to answer your question.Hope you understood it.
Pls mark my answer as brainliest and follow me.
Verify the identity and explain how cot(x- pi/2)= -tan x
Answer:
First, let's recall some usefull information:
- cot(x) = 1/tg(x) = cos(x)/sin(x)
- tan(x) = sin(x)/cos(x)
We also know that:
- cos(x - pi/2) = sin(x)
- sin(x - pi/2) = -cos(x)
Now we can use those relationships and get:
cot(x - pi/2) = cos(x - pi/2)/sin(x -pi/2) = sin(x)/-cos(x) = -tan(x)
So we have verified the identity, and explained step by step why the identity is true.
Tomi stacks four rectangular prisms to build a staircase. He plans to cover the tops, fronts, and sides of the stairs with brick-patterned paper. The rectangular prism at the top has a length of 11 inches, a width of 30 inches, and a height of 7 inches. How much paper, rounded to the nearest square foot, will Tomi need in order to cover the stairs? Explain.
Answer:
4 sq foot
Step-by-step explanation:
freds dog crate is 42 inches long, 24 inches wide, and has a height of 30 inches. what is the volume of the crate?
Answer:
20 icnhes
Step-by-step explanation:
not rlly
What is the slope-intercept equation of the line below?
When solving 2(x + 5) = −8, the property used in the first step is the ___________. answers: distributive property substitution property addition property transitive property
Answer:
Distributive property.
Step-by-step explanation:
The 2 is being distributed to the x and 5
It's the first step due to PEMDAS (Parenthesis first)
Please help!
The formula d= sqrt 1.5h gives the distance (d) in miles you can see to the horizon from a height of h feet above the earth. To the nearest mile, how many miles can you see to the horizon from the top of the Empire State Building at 1250 feet?
Answer:
d (miles) = (sqrt 1.5) * height (feet)
d (miles) = 1.2247448714 * 1,250
d (miles) = 1,530.93 miles
Step-by-step explanation:
Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary round your results to the nearest hundredth 180
Answer:
Option A. (-1, 0)
Step-by-step explanation:
In the figure attached,
Circle O is a unit circle (having radius r = 1 unit)
If a point A with central angles = θ, is lying on the circle then the coordinates of the point A will be,
x = r.cosθ
x = 1.cosθ = cosθ
and y = r.sinθ
y = 1.sinθ = sinθ
Therefore, coordinates representing the point A will be (cosθ, sinθ).
As per question the given point A is lying at P (a point having central angle θ = 180°)
Coordinates of point P will be
(x', y') → (cos180°, sin180°)
→ (-1, 0)
Therefore, Option A will be the answer.
Will mark brainliest for whoever answers
Answer:
x=1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
2-x = 3-(7-3x)^0.5
-1-x = -(7-3x)^0.5
1+x = (7-3x)^0.5 // ()^2
(1+x)^2 = 7-3x
1+2x+x^2 = 7-3x
x^2+5x-6= 0
(x+6)(x-1) =0
x= 1,6
but you need to see if the solution solve it cause when you ()^2 the sequence you might add up another solution that isn't true. so if you'll see 6 doesn't solve it (try it) so the answer is 1
Put the following numbers in order from smallest to largest, with the smallest value at the top of the list.
0.085
1/3
60%
2/5
3/4
1.05
78%
Answer:
The right order is:
0.0851/32/560%3/478%1.05Step-by-step explanation:
To identify the right order of the numbers given in order from the smallest to largest, you first must convert all the numbers to the same mode (fractions, decimals or percentages), in this case, I will transform all the numbers to decimals, for this you must divide the fractions or operate the percentages, and you will obtain:
0.085 = 0.085 1/3 = 0.33333333333 60% = 0.6 2/5 = 0.4 3/4 = 0.75 1.05 = 1.05 78% = 0.78How you can see, in this form is easier than the original form, now you can identify that 2/5 (0.4) is smaller than 60% (0.6) and 1.05 is bigger than 78% (0.78).
Answer:The right order is:
0.085
1/3
2/5
60%
3/4
78%
1.05
Step-by-step explanation:
About 150,000 people live in a 8-mile radius of a city's town hall. Find the population density in people per square mile. Round your answer to the nearest whole number.
Answer:
747 people per square mile
Step-by-step explanation:
population of city's town hall = 150,000
Radius of city's town hall = 8 mile
area of any circular shape is given by [tex]\pi r^2[/tex].
r is the radius of circle.
p
Area of city's town hall = [tex]\pi r^2= 3.12*8^2 = 3.14*64 = 200.96[/tex]
Population density for any place is ratio of population of that place to area of that place
Thus
Population density for city's town hall = population of city's town hall /Area of city's town hall
Population density for city's town hall = 150,000/200.96
Population density for city's town hall= 746.42 people per square mile.
Population density for city's town hall Rounded to the nearest whole number is 747 people per square mile.
PLEASEEE HELPP!! Work must be shown for this problem! The figure shown below is a square.
Answer:
x=25
Step-by-step explanation:
4x-10=90
4x=100
x=25
Answer:
25
Step-by-step explanation:
We know that m∠9 is 90° because the diagonals of a square are perpendicular.
4x - 10 = 90
4x = 100
x = 25°
Evaluate the expression 3.5x when x is 2.
Answer:
X= 7
Step-by-step explanation:
Since x= 2 you would plug it in 3.5 times 2 = 7
Answer:
7
Step-by-step explanation:
