Answer:
470.1
Step-by-step explanation:
Since this is a parabola that opens down, the maximum height is where the graph has a horizontal tangent line.
This is where the derivative=0
Since it is a parabola that opens down, we do not need to test the sides of the point where the derivative=0 as the vertex is a local maximum and the only point with a horizontal tangent.
y=[tex]-16x^2+146x+137[/tex]
y'=[tex]-32x+146[/tex]=0
-32x+146=0
x=[tex]\frac{146}{32}[/tex]=[tex]\frac{73}{16}[/tex] This is the x-coordinate of the vertex
Now plug this back into the original equation to find the maximum height.
f(73/16)=[tex]-16(\frac{73}{16})^2+146(\frac{73}{16} )[/tex]+137
=[tex]\frac{-73^2}{16} +666.125+137[/tex]
=-333.0625+666.125+137
=470.0625
To the nearest tenth this is 470.1
7x-15y=2 , x+2y=3 By subtition method
Answer:
([tex]\frac{49}{29},\frac{19}{29}[/tex])
Explanation:
7x - 15y = 2 (1)
x + 2y = 3 (2)
x + 2y = 3
x + 2y - 2y = 3 - 2y
x = 3 - 2y (3)
Substitute (3) to (1)
7x - 15y = 2
7(3 - 2y) - 15y = 2
21 - 14y -15y = 2
21 - 21 - 29y = 2 - 21
-29y = -19
y = [tex]\frac{19}{29}[/tex] (4)
Plug (4) into (2)
x + 2y = 3
x + 2[tex]\frac{19}{29}[/tex] = 3
x + [tex]\frac{38}{29}[/tex] = 3
x = 3 - [tex]\frac{38}{29}[/tex]
[tex]x = \frac{87}{29}-\frac{38}{29} =\frac{49}{29}[/tex]
([tex]\frac{49}{29},\frac{19}{29}[/tex])
In a square of side length s, what is the length of a diagonal?
Answer:
[tex]s\sqrt{2}[/tex]
Step-by-step explanation:
This would be the diagonal because the formula for diagonals in a square would be [tex]a\sqrt{2}[/tex], where a is the side length.
Amrit's income is 32% more than Bethan's income.
Amrit and Bethan's combined income is £54868.
Calculate Amrit's income.
Answer:
Based on the given conditions, formulate:
Reduce the fraction:
get the result:
Answer:
Step-by-step explanation:
The Amrit's income is £27434.16.
It is required to find the
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
Let the Bethan's income be x
Amrit's income is 32% more than Bethan's income.
So, Amrit's income=x+32%
Amrit and Bethan's combined income is £54868.
According to given question we have
x+x+32%=£54868
2x+32/100=£54868
2x=54868-0.32
2x=54867.68
x=27433.84
Bethan's income=£ 27433.84
Amrit's income
=x+32%
=£ 27433.84+0.32
=£27434.16
Therefore, the Amrit's income is £27434.16.
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Aby has a cell phone plan that charges $12 a month for the first 50 minutes and 5 cents for every minute after that. If she was charged $15.45 last month, how many minutes did she talk?
60
Step-by-step explanation:
3(2x + 5) + 4(3x - 2)
Answer:
18x+7
Step-by-step explanation:
3(2x + 5) + 4(3x - 2)
6x+15 + 12x - 8.........distribute
18x+7..........................combine like terms
18x+7
[tex]Hiya![/tex]
Sokka is here to help!!
Here's a explanation!
[tex]3(2x + 5) + 4(3x - 2)[/tex]
You have to distribute:
[tex]=(3)(2x)+(3)(5)+(4)(3x)+(4)(-2)[/tex]
[tex]=6x+15+12x+-8[/tex]
You must combine like terms:
[tex]=6x+15+12x+-8[/tex]
[tex]=(6x+12x)+(15+-8)[/tex]
[tex]=18x+7[/tex]
ANSWER:
[tex]=18x+7[/tex]
Hopefully, this helps you!!
[tex]Sokka[/tex]
Find the domain of the function.
Answer:
all real numbers except x=8
Step-by-step explanation:
There is apparently a vertical asymptote at x = 8. The function is not defined for that value of x, but is defined everywhere else.
The domain is all real numbers except x=8.
In interval notation: (-∞, 8) U (8, ∞)
A squirrel burrowed 10 holes in 8 minutes. How many holes could the squirrel burrow in 12 minutes?
Answer:
15
Step-by-step explanation:
Fast and loose: To go from 8 to 12 minutes you're adding half the time (4 minutes). So it has time to burrow only half the holes in the extra time, so 5. Total, 10+5=15.
Crunching numbers: it's a simple proportion:[tex]10:8 = x :12[/tex] from which, cross-multiplying you get [tex]8x=12\times10 \rightarrow 8x=120 \rightarrow x=15[/tex]
Is - 1/2 equivalent to 1/-2
YES
- 1/2 is equivalent to 1/-2
The detailed answer is in the image attached.
Hope it helps you.....
Please mark as Brainlliest!!!
Please help ‐19 ‐ 7( ‐17z + 13)
Answer: 119z − 110
Step-by-step explanation:
Ryan and his brother Will went to the store to buy a new baseball bat. The baseball bat costs $97.99. Ryan had saved enough money to pay 38% of the cost of the bat. How much money did Ryan have to help pay for the bat?
Answer my question for 10 points
Answer:
Hello! The answer is $37.24.
Step-by-step explanation:
By simple calculations, 38% of $97.99 equates to $37.2362. However, since this is a money-based question, we have to round the last two numbers up - which basically equals $37.24!
Answer:
Ryan had $37.24
Step-by-step explanation:
I run 960 hm and my friend run 960 dam. How many km do we run in total?
Answer:
105.6 km
Step-by-step explanation:
Use: King Henery Doesn't Usually drink chocolate milk
K in king stands for kelo
H in Henery stands for hecto
D in Doesn't stands for deka
U in Usually stands for Meters, Liters, and Grams
d in drink stands for Deci
c in chocolate stands for Centi
And m in milk stands for milli
A recipe for trail mix says: “Mix 7 ounces of almonds with 5 ounces of raisins.” How many batches would there be if you have 250 ounces of raisins?
Answer:
20.8333333333
Step-by-step explanation:
7 + 5 = 12. 250 divided by 12 equals 20.8333333333 or 20.833... You will have more than 20 and a half batches but you can just say about 21, however needed.
Write the following statement in the form of equation.
1) One third of a number plus 7 is 26
Factorise 2x^2-9x-5 By Splitting The Middle Term.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required expression is ~
[tex] \boxed{(2x + 1)(x - 5)}[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
let's solve ~
[tex]2 {x}^{2} - 9x - 5[/tex][tex]2 {x}^{2} - 10x + x - 5[/tex][tex]2x(x - 5) + 1(x - 5)[/tex][tex](2x + 1)(x - 5)[/tex]Where are the factors? The number of terms? Where are the constants? Where are the confficients
3x-5y+15
Answer:
given the expression 4x - 2y + z + 5 we see three terms of the expression: 4x, -2y, +z , 5.
Terms are made of two things, a coefficient and a variable.
coefficient variable
4 x
-2 y
+1 z
+5 no variable exists in this term so it is a special term called a constant.
Coefficients can be +/-, fractions, decimals, whole numbers, etc.
In equations the coefficient is often shown as a letter such as
ax + by + 3.
This means (a times x) plus (b times y) plus 3
fractional coefficients looks like this example: x/4 + y/2 - z/3
the coefficient for x is 1/4, the coefficient for y is 1/2 and the coefficient for z is -1/3Step-by-step explanation:
what is the awnser to B
Using the concept of probability, the probability of rolling 2 sixes would be 1/25
From the tree diagram given :
P(6) = 1/5The probability of rolling 2 sixes can be defined thus :
P(2 6's) = P(6) × P(6)Hence,
P(2 6's) = 1/5 × 1/5 = 1/25
Hence, the probability of rolling 2 sixes is 1/25.
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sebuah mobil dalam 12 km menghabiskan bensin 1 liter. apa bila mobil menempuh jarak 96 km ,maka bensin yang di butuh kan adalah__liter
[tex] \frac{12}{1} = \frac{96}{x} [/tex]
[tex] 12x = 96[/tex]
[tex]x = \bold{8liter}[/tex]
What is the slope of this line?
•5
•1/5
•-5
•-1/5
quick please
15.
(05.04 MC)
Estimate and solve 4,298 ÷ 56 = ________. (1 point)
76 r 42
76 r 8
78 r 42
82 r 8 pls help asap!
Answer:
82 r 8
Step-by-step explanation:
i took the flvs test and its right!
The difference between two numbers is 5, and 2 times the lesser number is 18 more than the greater number. Find the numbers.
Answer:
Let x and y be the numbers, with x the larger one.
x - y = 5
2y = x + 18
Then solve this system of equations:
x - y = 5
x - 2y = -18
Subtract bottom equation from top equation and get
y = 23
So x = y + 5 = 23 + 5 = 28
What’s the remainder of 3,231 / 7
Help please :) I’m quite stuck on this one
Answer:
-4-4i
That's the answer for the question
Which of the following numbers is closest to 9? O A. v79 O B. 778 O c. 783 O D. 782
Answer:
v79
Step-by-step explanation:
v79-9that is 10 the closest
tell the answer of the last q i asked pls
q was :-(
Rohan spent 20% of his pocket money on transport and ₹60 on his breakfast.If he spent 15% of the remaining money on his lunch and had ₹340 left, what was his pocket money?
He spent on transport = 20%
spent on breakfast = 60/-
spent on lunch = 15%
remaining amount = 340
rs he spent on transport = 20/100 × 340 =68
rs he spent on lunch = 15/100 × 340 = 51
Therefore, total of his pocket money = 68 + 51 + 60 + 340
= ₹519
Kayla is serving vegetables at a soup kitchen. She has 18 carrot sticks and 12 baby potatoes that she
wants to divide evenly, with no food left over. What is the greatest number of plates Kayla can
prepare?
A:18
B:12
C:6
D:3
Answer:
C:6
Step-by-step explanation:
help me please and thank you !
Answer:
I hope this helps.
PLEASE HELP 60 POINTSSSS
Answer:
x = 6.5 units
Step-by-step explanation:
The 2 given squares are the on the legs of the right triangle with hypotenuse x
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 legs , then
x² = 13 + 29.25 = 42.25 ( take square root of both sides )
x = [tex]\sqrt{42.25}[/tex] = 6.5 units
Which equations are true equations?
Select all correct answers.
54 ÷ 6 + 3² = 4 + 4²
8042=10−22−1
62−22=4+7⋅22
19−2⋅5=9⋅73−9
Answer:
B and C
Step-by-step explanation:
Took the test and 80/4^2 = 10 - 2^2 - 1 and 6^2−2^2=4+7⋅2^2 are the answers. Hope this helps :D
None of the equations is true.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
The first equation is 54 ÷6 + 3² =4 + 4².
Simplify the equation:
54 ÷6 + 3² =4 + 4²
9 + 9 = 4 + 16
18 = 20
The left side and the right side of the equation are not equal, hence the first equation is not true.
Simplify the second equation:
8042 = 10-22-1
8042 = -13
The second equation is also false.
Simplify the third equation:
62−22=4+7⋅22
40 = -11
The third equation is also false.
Simplify the fourth equation:
19−2⋅5=9⋅73−9
16.5 = 0.73
The fourth equation is also false.
Hence, none of the equations is true.
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School OL ROC below
School of Rock
Guitar Bass Drums Keyboard Total
6th grade 13 10 17
20
60
7th Grade
14
17
11
10
8th Grade
18
12
17
16
63
Total
45
51
42
175
What percent of the 7th graders in the School of Rock play keyboard? Round your
answer to the nearest whole number percent,
Submit Anwwer
0
Using the percentage concept, it is found that 19% of the 7th graders in the School of Rock play keyboard.
The percentage of an amount a relative to another amount b is given by:
[tex]P = 100\frac{a}{b}[/tex]
From the table given:
There are 14 + 17 + 11 + 10 = 52 7th graders, hence, [tex]b = 52[/tex]Of those, 10 play the keyboard, hence [tex]a = 10[/tex]Then
[tex]P = 100\frac{a}{b} = 100\frac{10}{52} = 19[/tex]
19% of the 7th graders in the School of Rock play keyboard.
A similar problem is given at https://brainly.com/question/10491646
a) Solve the system by substitution.
y = 5x – 3
-X – 5y = -11
Answer:
Step-by-step explanation:
the answer 4x-5y +2 = 0. 5y =-4x-2. y = -4x/5 -2/5 slope = -4/5
Answer:
{y,x} = {2,1}
Step-by-step explanation:
// Solve equation [1] for the variable y
[1] y = 5x - 3
// Plug this in for variable y in equation [2]
[2] -5•(5x-3) - x = -11
[2] - 26x = -26
// Solve equation [2] for the variable x
[2] 26x = 26
[2] x = 1
// By now we know this much :
y = 5x-3
x = 1
// Use the x value to solve for y
y = 5(1)-3 = 2