6x + 18y = 18. Let us take x = 0
6(0) + 18y = 18
0 + 18y = 18
18y = 18
y = 18/18
y = 1
(0, 1) [x = 0, y = 1]
6x + 18y = 18. Let us take y = 0
6x + 18(0) = 18
6x + 0 = 18
6x = 18
x = 18/6
x = 3
(3, 0) [x = 3, y =0]
Infinite solutions can be found for x and y
Find point
on the x-axis so that AC + BC is a minimum.
A(4,-5), B(12,3)
Answer:-3
Step-by-step explanation:
The minimum value of a function can be obtained from its derivative
The point on the x-axis that makes [tex]\overline{AC}[/tex] + [tex]\overline{BC}[/tex] minimum is the point [tex]\underline{(9, \, 0)}[/tex]
Reason:
Let (d, 0) represent the coordinate of the point, on the x-axis, we have;
[tex]\overline{AC}[/tex]² = (4 - d)² + (-5)²
[tex]\overline{AC}[/tex] = √((4 - d)² + (-5)²)
[tex]\overline{BC}[/tex]² = (12 - d)² + 3²
[tex]\overline{BC}[/tex] = √((12 - d)² + 3²)
[tex]\overline{AC}[/tex]² + [tex]\overline{BC}[/tex]² = L = 4² + (-5 - d)² + 12² + (3 - d)²
When [tex]\overline{AC}[/tex] + [tex]\overline{BC}[/tex] is minimum, we have;
[tex]\lim_{n \to \infty} a_n \dfrac{d}{dd} (\overline{AC} + \overline{BC}) = \dfrac{d}{dd} \left(\sqrt{ (4 - d)^2 + (-5)^2)} + \sqrt{ (12 - d)^2 + 3 ^2)} \right) = 0[/tex]
Which gives;
[tex]\dfrac{d}{dd} \left(\sqrt{ (4 - d)^2 + (-5)^2)} + \sqrt{ (12 - d)^2 + 3 ^2)} \right) = \dfrac{2 \cdot d - 24}{2 \cdot \sqrt{d^2-24 \cdot d + 153} } + \dfrac{2 \cdot d - 8}{2 \cdot \sqrt{d^2 - 8\cdot d + 41} }[/tex]
Therefore;
[tex]\dfrac{2 \cdot d - 24}{2 \cdot \sqrt{d^2-24 \cdot d + 153} } + \dfrac{2 \cdot d - 8}{2 \cdot \sqrt{d^2 - 8 \cdot d + 41} } = 0[/tex]
[tex]\dfrac{2 \cdot d - 24}{2 \cdot \sqrt{d^2-24 \cdot d + 153} } =- \dfrac{2 \cdot d - 8}{2 \cdot \sqrt{d^2 - 8 \cdot d + 41} }[/tex]
Squaring both sides and cross multiplying gives;
16·d² - 528·d + 3456 = 0
Which gives;
16·(d - 24)·(d - 9) = 0
Therefore, d = 24, and d = 9
The point (9, 0), is closer to the given points than the point (24, 0), therefore;
The point on the x-axis that makes [tex]\overline{AC}[/tex] + [tex]\overline{BC}[/tex] minimum is the point [tex]\underline{(9, \, 0)}[/tex]
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How do I do a and b someone pls help
A person jogs 4 kilometers in 32 minutes, the 2 kilometers in 22 minutes, and finally 1 kilometer in 16 minutes. What is the jogger's average speed in kilometers per minute?
Answer:
0.1km per minStep-by-step explanation:
what is average speed:
"The average speed of an object is defined as the distance traveled divided by the time elapsed. Velocity is a vector quantity, and average velocity can be defined as the displacement divided by the time."
step one:
given data
Distances Time
4km 32min
2km 22min
1km 16min
the total distance covered is
4+2+1= 7km
the total time taken = 32+22+16=70min
the average speed= distance/time
average speed= 7/70= 0.1km per min
PLSSS HELPPPPP MEEEE I WILLL GIVVVEEE BRAINLIESTTTT!!!!!!
PLSSS HELPPPPP MEEEE I WILLL GIVVVEEE BRAINLIESTTTT!!!!!!
PLSSS HELPPPPP MEEEE I WILLL GIVVVEEE BRAINLIESTTTT!!!!!!
Answer:
50
Step-by-step explanation:
5 times 5 =25
25 times 2 =50
Help I mark brainliest
Answer:
-r ^3
Step-by-step explanation:
Which of them is true?
A. [ -18]< 6
B.[ -6] < [ -8]
C.[8]<[-6]
D.[-6] < -8
Answer:
B. |-6| < |-8|
Step-by-step explanation:
The absolute value will always make the number positive. B is the only option in which (once absolute value is used) will make a true statement.
|-6| < |-8| = 6 < 8
( 6 is less than 8 )
⎧ y=4x(x−2) x+y=2 One of the solutions to this system is (2,0)(2,0)left parenthesis, 2, comma, 0, right parenthesis. Find the other solution. Your answer must be exact. ((left parenthesis ,,comma ))
find the slope
help with this please it’s due soon :)
hii i need help again.
Find the total cost to the nearest cent.
$49.95 pair of shoes: 5% tax
Answer:
2.49 or 2.50
Step-by-step explanation:
Answer:
= 52.4475 rounded to nearest cent = 52.44
Step-by-step explanation:
Plz mark brainliest!!!
it's asking me to order them from least to greatest how do I do that with tables
Hi there! Hope this helps.
Answer:
Look below.
Step-by-step explanation:
I didn't know if you wanted the answer or just an explanation, so I'll give you an explanation for now.
Look at all of the tables and find the one with the smallest, 2nd smallest, and 3rd smallest numbers and keep going up until you get to the biggest number.
M divided by n times x , x ≠
For every 60 students there's 3 teachers so for every 15 teachers how many students would there be?
Answer:
300 students
Step-by-step explanation:
divide 60 by 3 to find how many students there are per teacher: 60/3 = 20
multiply 20 by 15 to find how many students there are for 15 teachers:
20 x 15 = 300
Write a function rule for the area of a rectangle whose length is 5in. more than its width. what is the area of the rectangle when its width is 8in.?
Answer:
40in^2
Step-by-step explanation:
Need some help with this question
Answer:
iba nalang
Step-by-step explanation:
just tell someting wag yan
1. -
2. ×
3.÷
i guess these r the answers
I WILL GIVE BRAINLIEST
Answer:
it should be b but if i'm wrong im really sorry :(
Step-by-step explanation:
If f(x) = 3x - 1 and 2f(b) = 28, what is the value of f(2b)?
Answer:
=29
Step-by-step explanation:
2f(b)=28
divide by 2
f(b)=14
f(b)=3b-1
3b-1=14
add 1 on both sides
3b=15
divide by 3
b=5
f(5)=14
let's plug that in
f(2×5)=3(2×5)-1
f(10)=30-1
f(10)=29
The value of f(2b) is 29 if f(x) = 3x - 1 and 2f(b) = 28 the answer is 29.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
f(x) = 3x - 1 and 2f(b) = 28
Plug x = b
f(b) = 3b - 1
2f(b) =2(3b - 1)
2f(b) = 28
28 = 2(3b - 1)
b = 5
f(2b) = f(2(5)) = f(10)
f(10) = 3(10) - 1
f(10) = 30 - 1 = 29
Thus, the value of f(2b) is 29 if f(x) = 3x - 1 and 2f(b) = 28 the answer is 29.
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Ahmed paid $18 for a shirt which has a marked price of $25. What is the percentage discount?
Alright I need another one before I fail again please I have 3
Answer:
Answer:
9.46 = y
Step-by-step explanation:
=================================================================
You have to use the cosine function equation.
cos(38) =
Multiply 12 on both sides.
12cos(38) = y
Solve.
9.46 = y
How to know which one to use:
Sin, Cos, Tan, Sec, Cosec, and Cot
Sin function is to do opposite number side length over the hypotenuse number side
Cos function is to do adjacent (side length that is next to angle) over the hypotenuse
Tan function is to do Opposite over Adjacent,
These are the inverse of each one
Sec is hypotenuse over opposite (inverse of Sin)
Cosec is hypotenuse over adjacent (Inverse of Cos)
Cot is Adjacent over Opposite (Inverse of Tan)
=================================================================
i don't understand the problem or how to solve it please brake I down
Step-by-step explanation:
jm sorry, I've never done anything like this in math.
I need help with this please!
Answer:
Step-by-step explanation:
its 9
The sum of the squares of three consecutive integers is 50. Find the integers. (Hint: If one integer is x, the next consecutive positive integer is x + 1, and the third is x + 2. Simplify your answers completely. Enter your answers as a comma-separated list.)
Answer:
There's two answers.
-5, -4, and -3
3, 4, 5
Step-by-step explanation:
[tex]x^{2} +(x+1)^{2} +(x+2)^{2} =50\\x^{2} +x^{2} +2x+1+x^{2} +4x+4=50\\3x^{2} +6x+5=50\\3x^{2} +6x-45=0\\3(x^{2} +2x-15)=0\\(x+5)(x-3)=0\\x = -5\\x = 3\\[/tex]
1,000 decimeters equal 1 what?
Answer:
It's 1 kilometer
Step-by-step explanation:
At the beginning of a snowstorm, Madeline had 11 inches of snow on her lawn. The snow then began to fall at a constant rate of 0.5 inches per hour. Assuming no snow was melting, how much snow would Madeline have on her lawn 5 hours after the snow began to fall? How much snow would Madeline have on her lawn after tt hours of snow falling?
Chocolate sprinkles cost as much per pound as sugar. Find 1 10 the baker's total cost for 100 pounds of chocolate sprinkles. Explain the number of zeros and the placement of the decimal in your answer using a place value chart.
116=$0.05
hope this helps
The total cost of chocolate sprinkles is $800
What are Place value charts?This is an implementation of the numeral system that shows the value of each digit in a number using their positions
Given that, Chocolate sprinkles cost as much per pound as sugar.
From the complete question, we have the following parameters:
Unit rate = $8.00
Total pounds = 100
Total cost of chocolate sprinkles
So, the total cost of chocolate sprinkles is calculated using the following formula;
Unit = Total / Pounds
This gives
$8.00 = Total / 100
Total = $800
Hence, the total cost of chocolate sprinkles is $800
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Which number sentence is true?
A. –2.0 + (–0.5) = 2.5
B. –4.5 + 6.5 = –2.0
C. 3.0 + (–0.5) = –2.5
D. 5.5 + (–2.5) = 3.0
answer soon please!
Answer:
B. and D.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Here are the correct sums:
A. –2.0 + (–0.5) = -2.5
B. –4.5 + 6.5 = 2.0
C. 3.0 + (–0.5) = 2.5
D. 5.5 + (–2.5) = 3.0
Only D is correct.
Answer: D
the function f(x) is defined by the set of ordered pairs {(5,-2),(-6,-2),(3,-2),(4,-2)
Answer:
Assuming it is a constant function.
[tex]f(x)=0x-2[/tex]
Step-by-step explanation:
(5,-2)
(-6,-2)
(3,-2)
(4,-2)
From the points, we can see that for any value of [tex]x[/tex], the function will give -2. The graph of this function will be a horizontal line, parallel to the [tex]x[/tex]-line passing the y-intersect point -2.
So the function might be
[tex]f(x)=0x-2[/tex]
If it is a constant function.
I'm considering that there are no discontinuities.
Answer:
Domain: x>=-6
Range: y=-2
Step-by-step explanation:
I think this is the one but I’m not entirely sure
which angle is DEF has the largest measure?
Answer:
angel F
Step-by-step explanation:
Wayne has 2 pet spiders. Each spider has 8 legs. What is the ratio of spiders to the total number of legs?
Answer:
2:8
Step-by-step explanation:
Answer: 2:8
but yeah its 2:8
What makes a quadratic function unique?
Answer:
The graph of a quadratic function is a curve called a parabola which makes a quadratic function unique.
Step-by-step explanation:
Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape which makes it easy to identify.
Hope it helps.
Answer:
Step-by-step explanation:
Maybe that can be solve in so
-maybe diferent ways like graphicly, quadratic equation, factoring, form a perfect square...
-maybe because it has real, imaginary roots, or equal roots
(20 POINTS PLEASE HELP)
Find the reciprocal of the expression.
10b/2b+8
See image attatched below for the options given
Answer:
it the first one cause you adding so it 8b plus 2