Compute the differential for both sides:
4y - 3xy + 8x = 0
→ 4 dy - 3 (y dx + x dy) + 8 dx = 0
Solve for dy :
4 dy - 3y dx - 3x dy + 8 dx = 0
(4 - 3x) dy + (8 - 3y) dx = 0
When x = 0, we have
4y - 3•0y + 8•0 = 0 → 4y = 0 → y = 0
and with dx = 0.05, we get
(4 - 3•0) dy + (8 - 3•0) • 0.05 = 0
→ 4 dy + 0.4 = 0
→ 4 dy = -0.4
→ dy = -0.1
A line segment always contains a line
which shows the equation in standard form, y=-1/2x-7
Answer:
I think its x+2y= -14
Step-by-step explanation:
Diana is going camping with her family. Their campsite is
mile away. They walk at a steady speed of 2 mi/h.
How many minutes will it take them to get to the
campsite? I NEED IT ASAP
Answer:
30 minutes
Step-by-step explanation:
If the campsite is only a mile away and they can walk 2 miles per hour, then it will only take them half an hour.
A parabola had a vertex at (3,4) and passes through the point (5,-4) what is the standard form equation for the parabola.. help pleasee
Answer:
i need help on this one aswell
Step-by-step explanation:
noooooooooooo
pls
someone help us on this question
Solve for z: 4 (z+6) -11 = 25
I need to show my work
Answer:
z=3
Step-by-step explanation:
4(z+6)-11=25
add 11 to both sides
4(z+6)-11+11=25+11
simplify
4(z+6)=36
divide each side by 4
(4(z+6))/4=36/4
Simplify
z+6=9
subtract 6 from each side
z+6-6=9-6
simplify
z=3
Answer:
z=3; plug the equation into a calculator
PLS HELP. Which of the following describes a way to graph the function?
Answer:
The graph of the function is the set of all points (x,y) in the plane that satisfies the equation y=f(x) y = f ( x ) . ... A vertical line includes all points with a particular x value. The y value of a point where a vertical line intersects a graph represents an output for that input x value.
HELP PLEASE!!!
Sofia spends $36 on groceries each week. If you write down a list of her total spending over
time, what kind of sequence will you have?
A arithmetic
B geometric
C both
D neither
Answer: A, arithmetic
Step-by-step explanation:
An arithmetic sequence has a constant difference between each term. If she spend 36 dollars each week, the first week would be 36 the second week would be 72, and so on.
can you help with this? and explain.
Answer:
C
Step-by-step explanation:
Answer:
C. x < -175
Step-by-step explanation:
-1/5x + 4 < 39
minus 4 on both sides
= -1/5 < 35
multiply by -5 because we want the X to be positive, always. And when we multiply or divide by a negative number, the sign will always flip.
X > -175
The bill at the restaurant was $80. The customer left a 15 tip. What was the total
Answer:
80 plus 15 is 95 so the customer payed $95 at the restaurant.
Step-by-step explanation:
Robert and his younger sister are selling gift wrap to raise funds for the middle school band. Robert's sales are 2.5 times his sister's sales. Their total sales together can be represented by the equation x+2.5x=63 . Which of these statements are true? Choose ALL that are correct. A Robert's sales are represented by x when solving 3.5x=63 . B Robert's sister's sales total $18.00. C Robert's sales are represented by x when solving 2.6x=63 . D Robert's sales total $25.20. E Robert's sister's sales are represented by x when solving 3.5x=63 .
Answer:
B. Robert's sister's sales total $18.00.
E. Robert's sister's sales are represented by x when solving 3.5x = 63 .
Step-by-step explanation:
Let
Robert sister's sales = x
Robert sales = 2.5 * x
= 2.5x
Total sales = Robert sister's sales + Robert sales
63 = x + 2.5x
63 = 3.5x
Divide both sides by 3.5
x = 63 ÷ 3.5
= 18
x = $18.00
Robert sales = 2.5x
= 2.5(18)
= $45.00
A. Robert's sales are represented by x when solving 3.5x=63 .
No
B. Robert's sister's sales total $18.00.
Yes
C. Robert's sales are represented by x when solving 2.6x=63 .
No
D. Robert's sales total $25.20.
No
E. Robert's sister's sales are represented by x when solving 3.5x = 63 .
Yes
The cost of an
8
-ounce box of cereal is
$
1.68
. At this rate, what is the cost per ounce of the cereal, in dollars and cents?
Answer:
.21 cents
Step-by-step explanation:
To get .21 do 1.68 divided by 8
1.68 ÷ 8 = .21
Hope this helps ya!!
8000 ÷ 4,000,000
SHOW WORK STEP BY STEP
Answer:
500
Step-by-step explanation:
Answer:
500
put the 8,000 into the 40,000 mark. you will get a five and if you tried to put it in the last two, you would get 0. 8000*5=40000 so subtract 40,000 and you should get a 0 there. keep putting the zeroes until you get to the end.
A line of the equation has a slope of a/b, where a and b are integers.
What is the slope of the line that is perpendicular to this line?
Answer:
-b/a
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals. That means that their product is -1.
slope of line = a/b
slope of perpendicular = -b/a
How would the graph of f look like? Help please!
Answer:
Step-by-step explanation:
What are the factors of -24 that have a sum of 5?
Answer:
Step-by-step explanation:
5 Easy as 1-2-3
5 is a prime number.
Prime factorization: 5 is prime.
The exponent of prime number 5 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 5 has exactly 2 factors.
Factors of 5: 1, 5.
Factor pairs: 5 = 1 x 5.
5 has no square factors that allow its square root to be simplified. √5 ≈ 2.236.
2p - 3q - 4r + 6r -2q + p
2p - 3q - 4r + 6r - 2q + p = 0
2p + p - 3q - 2q - 4r + 6r = 0
3q - 5q + 2r = 0
Complete the statement to show an equivalent ratio. ) 18:10 is equivalent to ? : 5.
Answer:
9
Step-by-step explanation:
[tex] \frac{18}{10} = \frac{?}{5} \\ \\? = \frac{18 \times 5}{10} \\ \\? = \frac{90}{10} \\ \\ ? = 9[/tex]
Answer:9
Step-by-step explanation:because if you divide 10 by 2 it’s 5 and if you divide 18/2 it’s 9
Select the correct answer. What is[tex]\sqrt{192}[/tex] in simplest form? A.32√3 B.3√8 C.8√3 D. 2√48
Answer:
C. 8√3
Step-by-step explanation:
Please mark me as brainlest!
Thanks!
48√2 in the simplest form of the expression √192.
Option D is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can simplify the √192 by factoring it into its prime factors:
192 = 2 × 2 × 2 × 2 × 2 × 3 × 3
Then, we can group the prime factors into pairs of two:
192 = (2 × 2) × (2 × 2) × (2 × 3) × 3
Simplifying each pair of factors under the square root gives:
[tex]\sqrt{192} = \sqrt{(2\times2)}\sqrt{(2\times2)}\sqrt{(2\times3)}\sqrt{3}\\= 4\times4\times\sqrt{6}\sqrt{3} \\= 16\sqrt{6}\sqrt{3}[/tex]
Finally, we can simplify the expression by multiplying the coefficients and combining the square roots:
[tex]16\sqrt{6}\sqrt{3} \\= 16\sqrt{18} = 16\sqrt{2\times3\times3} \\= 16\times3\sqrt{2} \\= 48\sqrt{2}[/tex]
Therefore,
48√2 in the simplest form of the expression √192.
Learn more about expressions here:
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7x + 31= 8x- 1 (27x+3)
-
3
AnswEr :
⠀⠀⠀⠀
The value of q is -1.42
⠀⠀⠀⠀
______________________
⠀⠀⠀⠀
➤ How to solve ?
⠀⠀⠀⠀
That's quite easy but you need to recall the BODMAS rule .
⠀⠀⠀⠀
BODMAS rule states the correct sequence to solve an equation . First we need to solve the bracket part then solve if any of is present moving further to division then multiplication carrying with addition atlast subtraction
⠀⠀⠀⠀
In this equation we will solve the bracket then we will apply further BODMAS rule
⠀⠀⠀⠀
━━━━━━━━━━━━━━━━━
SolutiOn :
➠ 7x + 31 = 8x - 1 ( 27x + 3 ) -3
➠ 7x + 31 = 8x - 27x - 3 - 3
Now, we will bring the variable on left hand side and constants on right hand side
➠ 7x - 8x + 27x = - 31 - 3 - 3
➠ 26x = -37
➠ x = -37/ 26
➠ x = - 1.42
∴ The value of x is -1.42 .
━━━━━━━━━━━━━━━━━
Give the slope of any line that is perpendicular to the line y = -1/8 x + 5
Answer:
8
Step-by-step explanation:
To find a slope for a line that is perpendicular to another line, you simply need to take the negative reciprocal of the the original line's slope. In this case we are already given the slope as the coefficient to x: -1/8. The negative reciprocal of that is 8/1, or just 8.
Sean is buying 9/16
pound of tea at a tea shop. The cost of tea is $24 per pound.
The cost of 9/16 pounds of tea is $13.50.
How to determine the cost of 9/16 pounds of teaIn order to determine the cost of 9/16 pounds of tea, the cost of a pound of tea would be multiplied by 9/16 pounds.
Cost of 9/16 pounds of tea = 9/16 x 24
= $216/16
= $13.50
To learn more about multiplication, please check: https://brainly.com/question/3385014
patty had 51 cent until she spent 5 nickles.how much money does patty have now?
Answer:
26 cents
Step-by-step explanation:
5×5=25
51-25=26
Point B has coordinate B(1, –1). What is the coordinate of B' under a scale factor of 3? (1, –1) (3, –3) (–2, 2) (–6, 6)
Answer:
(3,-3)
Explanation:
create an equation set equal to zero:
3×(1,-1)=0
distributive property:
3×1= 3 ; 3× -1= -3
(3,-3)=0
Answer:
(3,-3)
Step-by-step explanation:
I hope I helped
Status
Exam
Convert the function from point-slope
form to slope-intercept form.
y + 3 = -2(x - 1)
y = [? ]x - [
Enter
Answer:
y = -2x - 1
Step-by-step explanation:
y + 3 = -2 ( x - 1 )
y + 3 = -2x + 2
y = -2x - 1
Point A is at (3,2.7) and point B is at (3,1.4) on a coordinate grid. The distance between the two points is __. Numbers and decimals only
PLEASE HELP ASAP
Answer:
The distance between the two points is 1.3
Step-by-step explanation:
Answer:
The distance between the two points is 1.3
What is the value of x in the solution to this system of equations?
y+2x=-1
Y=2x-19
Answer:
My teacher told be that x will mean 6 and she also said anyletter will equel 6 in an eqaution HOPE THIS HELPS :D
Step-by-step explanation:
SO anyways :))))
Thanks and please make sure you comment only if you are pretty sure you are right! Thanks
Answer:
1 / 8², B
Step-by-step explanation:
8 / 8³
8³ = 8*8*8
So, the equation can also be written as:
8 / 8*8*8
divide the numerator and denominator by 8.
1 / 8*8
This is equal to:
1 / 8²
The answer is B.
HELP ASAP !! & GIVING OUT BRANLIEST
Select the correct answer.
Maggie is training for a bicycle trip across her home state. She recorded the approximate number of miles she biked during 10 days of training. The graph shows the data that she recorded as a function of the distance biked over time.
Which function best models the data set?
Answer:
C
Step-by-step explanation:
I got it right
The function that best models the data set is y = 3x + 11
What is the slope of the line?"The slope of the line passing through points [tex](x_1,y_1),(x_2,y_2)[/tex] is,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]"
What is the equation of the line passing through two points?"The equation of the line passing through points [tex](x_1,y_1),(x_2,y_2)[/tex] is, [tex]\frac{y-y_1}{y_2-y_1} =\frac{x-x_1}{x_2-x_1}[/tex] "
For given question,
If we draw the line of best fit, then the the line would pass through points (3, 20) and (8, 35)
Let [tex](x_1,y_1)=(3, 20),(x_2,y_2)=(8, 35)[/tex]
Then the equation of the line would be,
[tex]\Rightarrow \frac{y-y_1}{y_2-y_1} =\frac{x-x_1}{x_2-x_1} \\\\ \Rightarrow \frac{y-20}{35-20} =\frac{x-3}{8-3} \\\\ \Rightarrow \frac{y-20}{15} =\frac{x-3}{5} \\\\ \Rightarrow y-20=15\times \frac{x-3}{5}\\\\ \Rightarrow y-20=3(x-3)\\\\ \Rightarrow y-20=3x-9\\\\ \Rightarrow y=3x+11[/tex]
Therefore, the function that best models the data set is y = 3x + 11
Learn more about the equation of the line here:
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A square has sides lengths of 10 inches. To the nearest tenth of an inch, what is the length of its diagonal?
Answer:
40
Step-by-step explanation:
Factorise the following:
a) x^2 - 5x - 6
b) x^2 + 3x – 40
c) x^2 - 7x - 30
Answer:
a) (x+6)(x-1)
b) (x+8)(x-5)
c) (x+3)(x-10)
Step-by-step explanation:
The final answer would always have to be two brackets with x and the relevant variables.
x²: You know the possible factors that can be multiplied together would be x and x. Each factor would have to be in different brackets, so we get (x + smth else)(x +smth else)
When factorising quadratic expressions, you need to find the correct pair of factors, that when multiplied together, becomes the constant of the expression. They also need to become the middle term when they are multiplied with the term in the bracket and then added together.
Possible factors for a):
1. 1 × 6 = 6
2. 2 × 3 = 6
You know 1 - 6 = -5, so we shall use the factors 6 and 1.
(x+6)(x-1) = x² -x + 6x - 6
= x² + 5x - 6
Thus, (x+6)(x-1) is the answer.
Possible factors for b):
1. 1 × 40 = 40
2. 2 × 20 = 40
3. 4 × 10 = 40
4. 5 × 8 = 40
You know 8 - 5 = 3, so we shall use the factors 8 and 5.
(x+8)(x-5) = x² -5x + 8x - 40
= x² + 3x - 40
Thus, (x+8)(x-5) is the answer.
Possible factors for c):
1. 1 × 30 = 30
2. 2 × 15 = 30
3. 3 × 10 = 30
4. 5 × 6 = 30
You know 3 - 10 = -7, so we shall use the factors 3 and 10.
(x+3)(x-10) = x² -10x + 3x - 30
= x² - 7x - 40
Thus, (x+3)(x-10) is the answer.
a)
x² - 5x - 6
= x² + x - 6x - 6
= x(x + 1) -6(x + 1)
= (x - 6) (x + 1)
b)
x² + 3x - 40
= x² + 8x - 5x - 40
= x(x + 8) -5(x + 8)
= (x - 5) (x + 8)
c)
x² - 7x - 30
= x² - 10x + 3x - 30
= x(x - 10) + 3(x - 10)
= (x + 3) (x - 10)
