Answer:
Step-by-step explanation:
[tex]\frac{9}{6}[/tex] ÷ [tex]\frac{1}{2}[/tex] = 3
Whats the vertex of this question
Please help
Find the distance between points P(2, 2) and Q(7, 4) to the nearest tenth.
7
5.4
10.8
4.5
Answer:
5.4
Step-by-step explanation:
since they are 5 apart on the x-axis, and 2 on the y-axis. You'd multiply by the power of 2 add both of them together and square root. Giving you about 5.38516 rounding to the nearest tenth of 5.4
True or false, f(x) is a function
Answer:
Step-by-step explanation:
True!!
Find the slope of the line that goes through the given points. (-7, - 8) and (-2, 9)
Answer:
17/5 or 3.14
Step-by-step explanation:
Slope (m) = ΔY/ΔX = 17/5 = 3.4
ΔX = -2 + 7 = 5
ΔY = 9 + 8 = 17
Distance (d) = √ΔX2 + ΔY2 = √314 = 17.720045146669
Equation of the line:
y = 3.4x + 15.8
When x=0, y = 15.8
When y=0, x = -4.6470588235294
Hope I helped :)
Would appreciate Brainliest :)
The sum of two number is 18. 5 times the first number subtracted from 4/7bof the second number is 14. Find the number
Answer:
Required numbers are x = -0.5 and y =18.6
Step-by-step explanation:
Let the two numbers be x and y
Their sum is 18 i.e x+y= 18
4/7y-5x= 14
We need to find the numbers x and y
Solving both equations to find value of x and y
[tex]x+y= 18 ----(1)\\\frac{4}{7} y-5x= 14 ------(2)[/tex]
From equation 1 we can find value of x and put in equation 2 i.e
x=18-y
Putting the value of x in equation 2
[tex]\frac{4}{7}y-5(18-y)=14\\Solving:\\\\\frac{4}{7}y-90+5y=14\\\frac{4y-90*7+5*7y}{7}=14\\ \frac{4y-630+35y}{7}=14\\4y+35y-630=14*7\\39y=98+630\\y=728/39\\y=18.6[/tex]
Now finding x
[tex]x=18-y\\x=18-18.6\\x=-0.5[/tex]
So, Required numbers are x = -0.5 and y =18.6
Courtney biked 8 laps around a park. The app on her phone showed she biked 11.12 miles. What is the constant of proportionality that relates the distance, y, to the number of laps, x?
A.
11.12
B.
1.39
C.
8
D.
3.12
Reset
Answer: 1.39 Step-by-step explanation: 11.12/8=1.39
Find derivative for 3x³ + 2xy + 4y²=0.
Answer:
[tex]y'=\frac{-9x^2-2y}{2(x+4y)}[/tex]
General Formulas and Concepts:
Algebra
Equality PropertiesCalculus
Chain Rule: [tex]\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]Basic Power Rule: f’(x) = c·nxⁿ⁻¹Derivative of a constant equals 0Implicit DifferentiationStep-by-step explanation:
Step 1: Define equation
3x³ + 2xy + 4y² = 0
Step 2: Find 1st Derivative
Set up Derivative: [tex]\frac{dy}{dx} [3x^3 + 2xy + 4y^2 = 0][/tex]Take Implicit Differentiation: [tex]9x^2+(2y+2xy')+8yy'=0[/tex]Step 3: Find Derivative (Solve for y')
Define: [tex]9x^2+(2y+2xy')+8yy'=0[/tex]Move 9x² over: [tex]2y+2xy'+8yy'=-9x^2[/tex]Move 2y over: [tex]2xy'+8yy'=-9x^2-2y[/tex]Factor y': [tex]y'(2x+8y)=-9x^2-2y[/tex]Isolate y': [tex]y'=\frac{-9x^2-2y}{2x+8y}[/tex]Factor GCF: [tex]y'=\frac{-9x^2-2y}{2(x+4y)}[/tex]Answer:
[tex]\frac{dy}{dx}= -\frac{9x^2+2y}{2(x+4y)}[/tex]
Step-by-step explanation:
Find the derivative of [tex]3x^3 + 2xy + 4y^2 = 0[/tex].
In order to find the derivative of this function, [tex]\frac{dy}{dx}[/tex], we can start by noticing that there are two variables in this problem, x and y.
Since we want the derivative with respect to x, every time we encounter the variable “y” in this problem we can change it to [tex]\frac{dy}{dx}[/tex]. We will see this happen later on in the solving process by using implicit differentiation.
Let’s start by taking the derivative of the entire function:
[tex]\frac{d}{dx} (3x^3 + 2xy + 4y^2 = 0)[/tex]Using the Power Rule and the Product Rule, we can perform implicit differentiation on this equation. Let’s take the derivative of each separate piece in this function:
[tex]3x^3 \rightarrow 3(3x^3^-^1) \rightarrow 9x^2[/tex] Power Rule
[tex]2xy \rightarrow (2x \times \frac{dy}{dx} + y \times 2)[/tex] Product Rule
[tex]4y^2 \rightarrow 2(4y) \times \frac{dy}{dx} \rightarrow 8y \times \frac{dy}{dx}[/tex] Power Rule & Implicit Differentiation
Let’s combine these steps into one comprehensive operation:
[tex]9x^2 + (2x \times \frac{dy}{dx} + y \times 2) + 8y \times \frac{dy}{dx} = 0[/tex]Simplify.
[tex]9x^2 + 2x\frac{dy}{dx} + 2y + 8y \frac{dy}{dx} = 0[/tex]Keep all terms containing [tex]\frac{dy}{dx}[/tex] on the left side of the equation and move everything else to the right side of the equation. This way we can solve for [tex]\frac{dy}{dx}[/tex], which, in this case, is the derivative of the original function.
Subtract [tex]9x^2[/tex] and [tex]2y[/tex] from both sides of the equation.
[tex]2x\frac{dy}{dx} +8y \frac{dy}{dx} = -9x^2-2y[/tex]Factor out dy/dx from the left side of the equation.
[tex]\frac{dy}{dx}(2x+8y) = -9x^2-2y[/tex]Divide both sides of the equation by (2x + 8y).
[tex]\frac{dy}{dx}= \frac{-9x^2-2y}{2x+8y}[/tex]You can leave it in this form, or you can convert this to either:
[tex]\frac{dy}{dx}= \frac{-9x^2-2y}{2(x+4y)}[/tex][tex]\frac{dy}{dx}= -\frac{9x^2+2y}{2(x+4y)}[/tex]
steve jobs sells apples and gets paid a minimum weekly salary of $660. He also gets paid on a graduated commission scale. He gets 4% of the first $2000 and 6% of anything over $2000. How much would he earn if he sold $15,000 worth of apples last week?
A. 1520
B. 1500
C. 640
D. 660
Answer:
Step-by-step explanation:
660 flat salary
2000*4%= 80
13000*6%=780
660+80+780= 1520
Answer:
660+80+780= 1520
Step-by-step explanation:
Hope that helps
lemme know
Find the equation of the linear function represented by the table below in slope-intercept form. x y 1 -9 2 -13 3 -17 4 -21
Answer:
3
Step-by-step explanation:
The linear function or equation in the slope-intercept form will be y = -4x - 5.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
The linear function is given as,
y = mx + c
Here, m is the slope while c is the y-intercept.
Slope m = (-13 + 9)/(2 - 1)
m = -4
Put m = -4, (1,-9)
-9 = -4(1) + c
c = -5
y = -4x - 5
Hence "The linear function or equation in the slope-intercept form will be y = -4x - 5".
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BB is paid straight commission at a rate of 9.35%. last week he sold $6000. How much money did he make?
A. 6900.00
B. 56100
C. 4551.00
D. 451.00
Answer
how much is like saying time the this
Step-by-step explanation:
60,000 time 9.35%= 56100
Find the value of x that makes m parallel to n.
hellpppp
what's the missing number? 7/16 = ?/64
a) 4
b) 21
c) 28
d) 55
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \frac{7}{16} = \frac{x}{64} \\ [/tex]
[tex] \frac{x}{64} = \frac{7}{16} \\ [/tex]
Multiply sides by 64
[tex]64 \times \frac{x}{64} = 64 \times \frac{7}{16} \\ [/tex]
[tex]x = 4 \times 7[/tex]
[tex]x = 28[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is (( C )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Which statement correctly compares the function shown on this graph with
the function y = 5x + 5?
10
8
6
42
2 4 6 8 10
-10 -8 6 4 2
-2
-4
-6
O A. The function shown on the graph has the same rate of change, but
a lower starting point
O B. The function shown on the graph has a smaller rate of change and
a lower starting point
O C. The function shown on the graph has a smaller rate of change, but
the same starting point.
D. The function shown on the graph has the same rate of change, but
a higher starting point.
Answer:
what is it?
Step-by-step explanation:
Answer:
D The function shown on the graph has the same rate of change ,but a higher starting point
Help me please please
Answer:
8/5 or 1.6
Step-by-step explanation:
Rise over run.
What is the solution set for this inequality -4x - 10<2
Answer:
Given, x
2
+3x−10>8
⇒x
2
+3x−18>0
⇒(x−3)(x+6)>0
⇒x<−6orx>3
⇒{x∣x<−6orx>3
Step-by-step explanation:
Which relation is a function?
Answer:
Bottom right
Step-by-step explanation:
Each domain value can only have 1 range value.
Find the derivative:
f(x)=tan(x^2+5)
Answer:
[tex]f'(x)=2x \sec^2(x^2+5)[/tex]
Step-by-step explanation:
To differentiate this we will need to use the chain rule:
[tex][h(g(x))]'=g'(x) \cdot h'(g(x))[/tex].
We will also have to keep in mind how to differentiate the following:
[tex]\tan(\theta)[/tex] with repect to [tex]\theta[/tex]
[tex]x^2+5[/tex] with respect to [tex]x[/tex].
[tex]f(x)=\tan(x^2+5)[/tex]
Derivative of both sides:
[tex]f'(x)=(x^2+5)'\cdot (\tan)'(x^2+5)[/tex]
[tex]f'(x)=(2x+0) \cdot \sec^2(x^2+5)[/tex]
[tex]f'(x)=2x \sec^2(x^2+5)[/tex]
Find the are of a square with side length x when x is equal to the given value. Are the area of a square and the length of its side directly proportional? Justify your answer.
x = 3in
The area of the square is ___ square inches. The area is the square and the length of its side (are/are not) directly proportional quantities.
Answer:
9 in and are not
Step-by-step explanation:
Answer:9 are not
Step-by-step explanation:big brain
pls i need help
i will mark brainliest if correct and for 100 points
solve with all work
1/2(4x-2)=6x-13
Answer:
x=3
Step-by-step explanation:
How to solve your question
Your question is 1/2(4x-2)=6x-3
Solve
1.Combine multiplied terms into a single fraction
1/2(4x-2)=6x-13
1(4x-2) divided by 2 =6x-13
2.Multiply by 1
3 Subtract 6x from both sides of the equation
4.Simplify
5.Multiply all terms by the same value to eliminate fraction denominators
6.simplify
7.Add 2 to both side of equation
8.Simplify
9.Divide both sides of the equation by the same term
10.Simplify
Step-by-step explanation:
Combine multiplied terms into a single fraction
1/2 (4x-2) / 2 = 6x - 13
1 (4x -2) /2 = 6x -13
Multiply by 1
1 (4x - 2) / 2 = 6x - 2
4x - 2 / 2 = 6x-13
Subtract 6x from both sides of the equation
4x - 2 / 2 = 6x - 3
4x - 2 /2 - 6x =6x -13 -6x
Simplify
Combine like terms
4x -2 /2 -6x = -13
Multiply all terms by the same value to eliminate fraction denominators
4x -2 /2 -6x = -13
2 (4x-2 /2 -6x) =2(-13)
Simplify
Distribute
Cancel multiplied terms that are in the denominator
Combine like terms
Multiply the numbers
-8x -2 = -26
Add 2 to both sides of the equation
-8x -2= -26
-8x -2+2 = -26+2
Simplify
Add the numbers
Add the numbers
-8x = -24
Divide both sides of the equation by the same term
-8x = -24
-8x / -8 = -24 / -8
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=3
Solution
=3
How much will you get paid if you work 28.5 hours for $7.75 per hour?
Answer:
$220.875
Step-by-step explanation:
For 1 hour you get $7.75
To find how much money you make in 28.5 hours... you multiply the number of hours with the number of dollars.
28.5 * 7.75
$220.875
(SAT Prep) In the figure, what is the value of y?
A. 20°
B. 90°
C. 40°
D. 30°
Answer:
60 degrees
I checked in the RSM system
The value of angle y is C. 40°.
Using Straight angle property we can solve this question.
First we'll find the value of x using the straight angle property:
x+ 0.5x + 3x = 180°
4.5x = 180°
x = 180°/4.5
x = 40°
Now using vertically opposite angles property we get:
0.5x = 0.5y
0.5* 40° = 0.5y
20° = 0.5y
y = 20/0.5
y = 40°
Therefore, the value of y is 40°.
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Factor -6m + 9.
-6(m - 3)
-6(m + 9)
-3(2m + 3)
-3(2m - 3)
Answer: -3(2m - 3)
Step-by-step explanation:
3x-1=-10 what is x and can you please show how you figured out what x is?
Answer:
x= -3
Step-by-step explanation:
3x-1= -10
+1 +1
3x=-9 = -3
What is the value of 624 to the power of 1/4
Any number raised to a fraction just means that you take the number to the power of the numerator of the fraction and then root it by the denominator of the fraction.
In [tex]\frac{1}{4}[/tex], we raise 624 to [tex]1[/tex] and then root it by [tex]4[/tex] which gives:
[tex]\sqrt[4]{624^1}[/tex] = [tex]\sqrt[4]{624} =[/tex] approximately [tex]5[/tex] as [tex]5^4[/tex] is [tex]625[/tex].
[tex]4.997[/tex] :D
Find the value of x !!!!
Answer:
x=147
Step-by-step explanation:
Because of the rule of the exterior angle, x=the sum of the two angles that are given. x=50+97
Hope I helped! Please mark Brainliest!!!
Help meeeee pls (first get brainliest)
Answer:
Add both of the like terms so
5a+7c=78.50
Step-by-step explanation:
Three less than the product of 2 and a number is equal to 5
Answer:
3<2*x=5
Step-by-step explanation:
Hope this helped, Have a Wonderful Day/Night!!
( btw the astric means multiplication )
The unknown number will be equal to 4.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that three is less than the product of 2 and a number is equal to 5. The unknown number will be calculated as:-
2x - 3 = 5
2x = 5 + 3
2x = 8
x = 8 / 2 = 4
Therefore, the unknown number will be equal to 4.
The complete question is given below:-
Three less than the product of 2 and a number is equal to 5. Calculate the unknown number.
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Make t the subject of the formula
t = (3m -1) / (m - 1)
What is subject of formula?The subject of a formula is the variable that is being worked out. It can be recognized as the letter on its own on one side of the equals sign.
In order to change the subject of a formula, or rearrange a formula, items in the formula need to be rearranged so a different variable is the subject. Knowledge of solving equations and inverse operations is very useful.
Given formula.
m = t + 1 / t - 3
m ( t - 3) = t - 1
mt - 3m = t - 1
mt - t = 3m - 1
t(m - 1) = (3m - 1)
t = (3m -1) / (m - 1)
Hence, the formula becomes t = (3m -1) / (m - 1).
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Answer:
it's the last option out of the list
Answer:
It is the last one (4th one).
if f(x)=x^2+1 and g(x) =3x+1, find f(2) + g(3).
Answer:
15 brainliest please
Step-by-step explanation:
f(x)=x^2+1
f(2)=(2)^2 +1
= 5
g(x)=3x+1
g(3)=3(3)+1
= 10
5+10= 15
