If y = -0.025x^2 + 4x, then
y' = -0.05x + 4
Set y' = 2:
2 = -0.05x + 4
-2 = -0.05x
40 = x
Go back to y to find the point:
y = -0.025(40)^2 + 4(40) = 120
So the point (40, 120) on y = -0.025x^2 + 4x will have tangent line with a slope of 2.
Andrea is buying some new shirts and sweaters. She is Able to buy three shirts and two sweaters for $113 or she is able to buy T-shirts and four sweaters for 166 how many dollars does a shirt cost how many dollars does a sweater cost
Answer:
y = 28.75
x = 26.5
Step-by-step explanation:
I think the amount of the second T-shirts purchased should be 2
Let the cost of each shirt be $ x, and the cost of each sweater be $ y.
Since the cost of each shirt is $ x, the cost of 3 shirts will be $ 3x and the cost of 2 shorts will be $ 2x.
Likewise, cost of each shirt is $ x, so the cost of 2 shirts will be $ 2x and cost of 4 sweaters will be $ 4y.
Andrea was able to buy 3 shirts and 2 sweaters for $113. This means:
Cost of 3 shirts + Cost of 2 sweaters = 113
Equation 1: 3x + 2y = 113
She was able to buy p shirts and 4 sweaters for $166. This means:
2x + 4y = 166
Dividing both sides by 2, we get:
Equation 2: x + 2y = 84
Subtracting Equation 1 from Equation 2, we get:
x + 2y - (3x + 2y) = 166 - 113
x + 2y - 3x - 2y = 53
2x = 53
x = 26.5
Using the value of x, in Equation 2, we get:
26.5 + 2y = 84
2y = 57.5
y = 28.75
Since, x represents the cost of shirt, the cost of each shirt is $ 26.5.
y represents the cost of sweater, so the cost of each sweater is $ 28.75.
Please show all your work! Tysm if u do :-)
I will give brainilest!
Answer:
3 2/3= 11/3
Step-by-step explanation:
3x3/3=9/3+ 2/3=11/3
Please do number 2 please!!!!!!
Answer:
Y=mx+c
(4,2), (3,5)
answer is -3
Step-by-step explanation:
4=x1 and 2=y1
3=x2 and 5=y2
y2-y1/x2-x1
5-2/3-4
3/-1 or -3
since we are finding the slope,we have to minus the y2 from the y1 over the x2-x1 and we minus then simplify.
The length of a rectangle is 3 ft longer than its width.
If the perimeter of the rectangle is 46 ft, find its area.
Answer:
Area = 130 ft^2
Step-by-step explanation:
Area =length * width
Perimeter = 2(L + W)
L=3+x
W= x
Perimeter= 2(3+x+x) =2(3 +2x)=6+4x=46 so x=10
L=3 +10= 13
W= 10
Area = 13* 10 130
The square in the middle has an area of 1 square unit. What I'd the area of the entire rectangle in square units? Explain you reasoning
The entire rectangle is 4 square units because the two triangles on the top put together makes the same shape as the square in the middle, which makes it 1 square unit. And the two bigger triangles on the bottom can create two squares if you break them apart and rearrange them again. So all of those shapes put together equals 4 square units.
arrange 64 72 27 83 in ascending order
Answer: 27,64,72,83
Step-by-step explanation: By ascending order it is basically asking you to sort the numbers from least to greatest. So the order would be 27,64,72,and 83.
Answer:
27, 64, 72, 83
Step-by-step explanation:
27
is the least
64
is bigger than 27 yet less than 72 and 83
72
bigger than both 27 and 64 yet is less than 83
83
is last because it is the biggest one of them all
write an equation of that line passes through the points (2.-1) and (2,5)
Answer:
x = 2
Step-by-step explanation:
an amsuement park sells child and adult tickets at a ratio of 8:1. On Saturday they sold 147 more child tickets than adult tickets. How many tickets did the amusement park sell on Saturday?
Step-by-step explanation:
Given that, when the difference is 147 7 times the number of adult tickets sold will be 147. Therefore, the number of adult tickets sold will be 21 and the number of children tickets sold will be 168. TheTOTAL TICKETS SOLD is 21 + 168 = 189.Why is it important to be able to discover the rule within a sequence
Answer:
a particular order in which related events, movements, or things follow each other.
Step-by-step explanation:
By discovering the rule of sequence we can find the missing terms of the sequence.
We need to find why is it important to be able to discover the rule within a sequence.
What is sequence?A sequence is defined as an arrangement of numbers in a particular order. On the other hand, a series is defined as the sum of the elements of a sequence.
It is important to discover the rule within a sequence, because by discovering the rule of sequence we can find the missing terms of the sequence and nth term formula and sum of n terms formula.
Therefore, by discovering the rule of sequence we can find the missing terms of the sequence.
To learn more about the sequence visit:
https://brainly.com/question/21961097.
#SPJ5
HELP ME OUT PLEASE
What is the slope of this line?
Answer:
-3/4 I think sorry if i'm wrong i can't see the rest of the graph to make sure it's totally correct.
Step-by-step explanation:
i need help with the last two questions??
i'll ask my teacher tommorow for you
Step-by-step explanation:
On a family outing, Tyler bought 5 cups of hot cocoa and 4 pretzels for
$18.40. Some of his family members would like a second serving, so he
went back to the same food stand and bought another 2 cups of hot cocoa
and 4 pretzels for $11.20.
Here is a system of equations that represent the quantities and constraints
in this situation.
5c + 4p = 18.40
2c + 4p - 11.20
If we add the second equation to the first equation, we have a new equation: 7c + 8p = 29.60
Explain why the same (c, p) pair that is a solution to this new equation.
9514 1404 393
Answer:
the properties of equality tell you so
Step-by-step explanation:
A couple of properties of equality come into play here:
the addition property of equalitythe substitution property of equalityEach of the properties of equality tells you an operation you can perform on an equation without changing the values of the variables that satisfy that equation.
If we start with the equation ...
5c + 4p = 18.40
and we add 11.20 to both sides, we have not changed the values of the variables that satisfy this equation. This is the addition property of equality.
(5c +4p) +11.20 = (18.40) +11.20
The substitution property of equality says I can substitute anything for its equal. The second given equation tells me that 2c +4p = 11.20. This means I can use 2c+4p wherever 11.20 might be found without changing any variable values. In the equation we got from addition, we can now make this substitution, and we have ...
(5c +4p) +(2c +4p) = (18.40) +(11.20)
7c +8p = 29.60 . . . . . . . collect terms
We obtained this equation using properties of equality that guarantee solutions to these equations are not altered by the process.
_____
*Additional comment
Technically, by doing the "collect terms" step, we have made the assumption that the values of c and p that satisfy the first equation are the same as the values of c and p that satisfy the second equation. This is usually the case we're interested in.
-2/3 times 5/4 answer
Answer: I believe it’s -5/6
Step-by-step explanation:
:)
Simplify these expressions a) 5x +3x + 2y + 4y b) 6x - 2x + 8y - 6y
Answer:
[tex]a) \: 5x + 3x + 2y + 4y \\ = 8x + 6y[/tex]
[tex]b) \: 6x - 2x + 8y - 6y \\ = 4x + 2y[/tex]
I hope I helped you^_^
please help asap!!!!!!!!!!!!!
Answer:
I am as lost as you are one of my math assignments is about to lock and don't know anything
An examination paper consists of 12 questions divided into two parts A and B.
Part A contains 7 questions and Part B contains the remaining questions. A candidate required to attempt 8 questions selecting at least 3 from each part. In how many ways can the candidate select the question
Answer:
420 waysStep-by-step explanation:
There are 3 possible scenarios
1) 5 questions from A and 3 questions from B:
[tex]_7C_5*_5C_3=7!/5!2!*5!/3!2! = (6*7)/2*(4*5)/2=210[/tex]2) 4 questions from each part:
[tex]_7C_4*_5C_4=7!/4!3!*5!/4!1! = (5*6*7)/(2*3)*5=175[/tex]3) 3 questions from A and 5 questions from B:
[tex]_7C_3*_5C_5=7!/4!3!*1 = (5*6*7)/(2*3)=35[/tex]Total number of ways:
210 + 175 + 35 = 420Answer:
Student has to do 8 questions such that he does at least 3 questions from both the sets
How can he go about (Set I, Set II) =(3,5) or (4,4) or (5,3)
So, total number of ways of doing this is given by
[tex]5c_{3} \times 7c_{5} + 5c_{4} \times 7c _{4} + 5c_{5} \times 7c _{3}[/tex]
[tex] = (10)(21) + (5)(35) + (1)(35) = 210 + 210 = 420[/tex]
(ノ^_^)ノ
LCF of 12 and 20 please
pls help me pls pls pleasse
please help me solve the question in the image
Step-by-step explanation:
x(midpoint) = a+b/
x= -2,5+2,5/2
x=0/2
x=0
Which number is farthest away from 0?
-16
-39
7
12
-39 is the furthers away from 0
this is because if you draw a number line -16 would be 16 away from 0, 12 would be 12 away from zero and 7 would be 7 away from 0...
| - - - - - - - - - - - - - - - |- - - - - - | - - - - |
16 0 7 12
and -39 would be 39 digits away from 0, therefore its the furthest away from 0
Hope this helped you- have a good day bro cya)
Answer:
-39, or the absolute value of 39 is farthest from 0.
Step-by-step explanation:
-16 is 16 units from 0.
-39 is 39 units from 0.
7 is 7 units from 0.
12 is 12 units from 0.
39 > 16
39 > 7
39 > 12
Hope this helps!
can anybody help?? I need to drag the correct answer into the boxes !
Answer:
276 equals the number of pages in the book
35d the number of pages she read during 1 week
35 equals the number of pages read in 1 day and the number of pages read in d days
Step-by-step explanation:
Which of these relations is a function
Hello There! :)
Option B
A function must pass the Vertical line test. Draw a line. If it touches the graph more than once, it's a relation. If it touches the graph once, it's a function.
Hope this helps!
solve pls brainliest!
Hello!
-b+7y
b=4
y=-3
-4+7(-3)
-4-21
-25
Hope it helps!
~Just a joyful teen
[tex]GraceRosalia[/tex]
Answer:
69 is the answer
-4 plus 73 equals 69
Why? because you have to subtract -4 because is negative and the answer will not be correct.
Please help I don't know how to do this
9514 1404 393
Answer:
7.84 to 8.16 ounces
Step-by-step explanation:
The difference between the actual amount in the bottle and the target amount of 8 ounces can be at most 2% of 8 ounces. That amount is ...
0.02×8 oz = 0.16 oz
The amount in the bottle can be this much higher:
8 + 0.16 = 8.16 . . . ounces
or, it can be that much lower:
8 - 0.16 = 7.84 . . . ounces
The range of values the bottle could contain is from 7.84 ounces to 8.16 ounces.
express x2-8x+5 in the form (x-a)2 -b where a and b are intergers
(x-4)^2-11
How?
[tex]\\ \sf\longmapsto (x-4)^2-11[/tex]
[tex]\\ \sf\longmapsto x^2-8x+16-11[/tex]
[tex]\\ \sf\longmapsto x^2-8x+5[/tex]
Verified
What is 2/5 to the 5th power? (as a fraction)
Answer:
2/3125
Step-by-step explanation:
Answer:
32/3125
Step-by-step explanation:
(2/5)^5 = (2^5) / (5^5)
= 32 /3125 means 2·2·2·2·2 = 32; 5·5·5·5·5= 3125
What is the next term of the geometric sequence?
4/9, -4/3, 4
Answer:
the answer is 4/8 and pls make me a brainiest and follow me
Answer:
-12
Step-by-step explanation:
Geometric sequence: 4/9 ; -4/3 ; 4
Ratio = 2nd term ÷ 1st term = (-4/3) ÷ (4/9)
[tex]= \dfrac{-4}{3}*\dfrac{9}{4}=-3[/tex]
Each term in the sequence is obtained by multiplying the previous term by (-3)
Next term = 4 *(-3) = -12
Find the distance between R (3, 4) and T (7, 2).
Answer:
[tex]\sqrt{20}[/tex] or 4.47
Step-by-step explanation:
To find the distance between two points on a plane, you can use the distance formula: [tex]d=\sqrt{(y^{2}-y^{1})^2 + (x^{2}-x^{1})^2 }[/tex]
Plug your values in to get the distance between the two points.
[tex]d=\sqrt{(y^{2}-y^{1})^2 + (x^{2}-x^{1})^2 }[/tex]
[tex]d=\sqrt{(2-4)^2 + (7-3)^2 }[/tex]
[tex]d=\sqrt{(-2)^2 + (4)^2 }[/tex]
[tex]d=\sqrt{4 + 16 }[/tex]
[tex]d=\sqrt{20}[/tex] or 4.47
order the the values from -7, -6, |5|, |-6|, 8 least to greatest
Answer:
-7, -6, |5|, |-6|, 8
Step-by-step explanation:
Negatives have the least amount. but since the absolute value does not take into account negatives, the actual number amount would be used. And 8 is just the greatest number here.
Find the time required for an investment of 5000 dollars to grow to 6800 dollars at an interest rate of 5.5% per year, compounded quarterly. Round to the nearest year.
Answer:
i think 6 years
Step-by-step explanation: