Answer
12
Step-by-step explanation:
click on square root
click on 144
then your answer will pop out below your equation
help help help me please
What is the equation of the line in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Equation of the line for the given graph in slope-intercept form is given by y = 5x -1.
As given in the question,
From the given graph,
Consider pair of two coordinates we have,
(x₁ , y₁) = (1, 4)
(x₂ , y₂) = (0,-1)
Equation of the line for the given graph in slope-intercept form is given by:
(y -y₁) / (x -x₁)= (y₂ -y₁) / (x₂ -x₁)
⇒ ( y - 4)/ (x -1) = (-1-4)/(0-1)
⇒(y-4)/(x-1) = 5
⇒y-4 = 5(x-1)
⇒y = 5x -5 +4
⇒ y= 5x -1
Therefore, equation of the line for the given graph in slope-intercept form is given by y = 5x -1.
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Kelly works at her own nail salon. Today, she did 11 manicures and received $55.00 in overall tips. If x represents the cost of each manicure, which of the following equations can be used to find the total amount of money she earned, including tips, for her nail salon today?
Answer:
5
Step-by-step explanation:
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The function f(x) = [tex]-3x^2[/tex] + 18x + 3 has the maximum value of 30 at x = 3
The quadratic function is
f(x) = [tex]-3x^2[/tex] + 18x + 3
The general form of the quadratic function is
y = [tex]ax^2[/tex] + bx + c
If a < 0, the quadratic function has maximum value
Here the value of a = -3
Therefore the function has maximum value.
Maximum value will be at x = -b / 2a
= -18 / 2(-3)
= -18 / -6
= 3
The maximum value of quadratic function will be (4ac - [tex]b^2[/tex]) /4a
Substitute the value in the equation
(4ac - [tex]b^2[/tex]) /4a = (4×-3×3 - 18×18) / 4×-3
= (-36 - 324 / -12
= -360 / -12
= 30
Hence, the function f(x) = [tex]-3x^2[/tex] + 18x + 3 has the maximum value of 30 at x = 3
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what do you add to 3and 3/8 to make 6
21/8 must be added to the terms to give the result as 6. The answer will be in a fraction.
What is a fraction?
In general, any number of equal pieces is represented by a fraction, which is a portion of the entire. In ordinary English, a fraction refers to the number of parts of a specific size.
Main Body:
Let the term to be added be x.
3+3/8+x =6
on solving this we will get the value of x= 21/8
Hence the answer of this question is 21/8.
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Which values of aand b make the following equation true?
(5x²y²){-4xªy³) =−20xªy°
O
a = 11, b = 7
O a = 11, b = 10
O a=28, b = 7
O a= 28, b = 10
The value a = 2 and b = 5 is makes the expression (5x²y²){-4xªy³) =−20xªyᵇ as true.
Expression:
An expression is set of numbers or variables combined using the operations +, -, * and /.
Given,
Here we have the expression (5x²y²){-4xªy³) =−20xªy°.
Now, we have to the value of a and b which make both equation as equal.
In order to get the value a and b, first, we have to solve the expression in the left hand side,
To solve this type of equation, the first step is to combine the like terms, then we get,
=> (5x²y²){-4xªy³)
=> (5 x -4) (x² xᵃ) (y² y³)
Now, we have to do the multiplication on it, then we get,
=> -20 xᵃ⁺² y²⁺³
=> -20xᵃ⁺²y⁵
Now, we have to equate both LHS and RHS, then we get,
=> -20xᵃ⁺²y⁵ = -20xᵃyᵇ
While we looking into the equation, we have identified that the value of a is 2 and the value of b is 5.
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Ty bought three and four-sixths pounds of coffee. He gave five-sixths of a pound to his grandma. Estimate how much coffee Ty has left.
5 pounds
four and one-half pounds
3 pounds
two and one-half pounds
Ty has 2 5/6 pounds of coffee left after giving 5/6 pounds of coffee to his grandma
What is fraction?Fraction is a numerical quantity that is not a whole number
From the question,
Ty bought 3 4/6 pounds of coffee
converting 3 4/6 to improper fraction
we have 22/6
Ty gave his friend 5/6 pound of coffee to his grandma
To estimate how much coffee Ty has left
We substract Coffee given to his grandma from Coffee bought
That is,
22/6 - 5/6
= 17/6
= 2 5/6 pounds of coffee left
Ty has 2 5/6 pounds of toffee left. He gave 5/6 of what he bought to his grandma.
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A floral shop earns an average yearly revenue of $195,280. Which compound inequality correctly shows the amount of money, m, the floral shop needs each month to pay for rent if the monthly budget for rent is between 10% and 15%? $375.54 sm≤ $563.31 $751.08 sm≤ $1,126.62 $1,627.33 sm ≤ $2,441.00 $1,502.15 sm s $2,523.23
The monthly budget for rent is $1,627.33 ≤ m ≤ $2,441.00
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let m represent the monthly rent of the shop.
The average yearly revenue is $195,280. Hence:
Monthly revenue = $195,280 / 12 = $16273.33
If the monthly budget for rent is 10%, hence:
m = 10% of $16273.33 = 0.1 * $16273.33 = $1627.33
If the monthly budget for rent is 15%, hence:
m = 15% of $16273.33 = 0.15 * $16273.33 = $2441.00
$1,627.33 ≤ m ≤ $2,441.00
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each of ncustomers gives a hat to a hat-check person at a restaurant. the hat-check person gives the hats back to the customers in a random order. what is the expected number of customers that get back their own hat? derive your answer by using random variables and expected values of random variables.
The expected number of customers that get back their own hat is 1.
Define the term random variables?A random variable is called with an unspecified amount or a function that gives values to each of the results of an experiment. There are two types of random variables: discrete (having specified values) and continuous (value in a continuous range).Utilizing indicator random variables, we resolve this issue. For 1 ≤ i ≤ n,
Let .
Xi = I {Customer 'i' who gets his hat back itself}.
The number of clients that receive their own hats back should be the random variable X. We want to figure out E[X].
Clearly,
n
X = ∑ Xi
i=1
It is clear that 1/n represents the likelihood that customer 'I' will receive his own hat.
Due to the fundamental characteristics of indicator random variables, this means that E[Xi] = 1/n.
n
E[X] = E [ ∑ Xi ]
i=1
n
= ∑ 1/n
i=1
Put the limits.
E[X] = 1
As a result, 1 consumer is anticipated to have their own hats back.
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- 7 (x + 2) - x = 2
Please help!!!
Answer:
-2
Step-by-step explanation:
Answer:
x=-2
Step-by-step explanation:
distribute
-7x-14-x=2
-8x-14=2
+14. +14
-8x=16
/-8. /-8
x=-2
Hopes this helps please mark brainliest
simply the following ratio:-
2/3:1/6:5/2
Step-by-step explanation:
ratios are special fractions and follow therefore all the fraction rules.
e.g. they follow the rule that for transformations the same multiplications or divisions have to happen for the denominator and the numerator when bringing them to the same denominator.
and they follow the same division and multiplication rules.
2/3 : 1/6 : 5/2 = (2/3)×(2/2) : 1/6 : (5/2)×(3/3) =
4/6 : 1/6 : 15/6 = 4 : 1 : 15
Can anyone state the vertex of the graph?
There is no vertex in the graph and the transformations from are
Vertical shift down 2Horizontal shift left 4How to determine the vertex of the graph?By definition, a graph that has a vertex would have an obvious maximum or minimum point on it
In this case, there is no point that can be regarded as the minimum or the maximum in this graph
This means that the graph has no maximum or minimum; in other words, there is no vertex
The transformation from the parent functionThe parent function of the above graph is a cubic function
A cubic function passes through the origin
However in this graph, we can see that the graph is 4 units to the left of the origin and 2 units below the origin
This means that the transformation is (x - 4, y - 2)
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Q8.
Solve the simultaneous equations
2x + 3y = 5p
y = 2x + p
where p is a constant.
Give your answers in terms of p in their simplest form.
Answer:
x = 1/4p
y = 3/2p
Step-by-step explanation:
2x + 3y =5p__________________equ 1
y = 2x + p____________________equ 2
sub equ 2 for y in equ 1
2x + 3(2x + p) = 5p_______________open brackets
8x = 2p______________________divide both sides by 8
x = 1/4p
sub 1/4p for x in equ 2
y = 2(1/4p) + p___________________open brackets
y = 3/2p
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Function [tex]-3x^2+18x+3[/tex] has maximum value at x = 3 and its maximum value is 30.
How do you find the maximum and minimum value of the function?
Calculus can be used to find the critical point, or the x-value of the vertex, by taking the derivative of the function, or f'(x). To determine the critical point, we shall set the function's first derivative to zero and solve for x. This point's maximum or minimum value can be determined by taking the second derivative, or f"(x). The second derivative will have a minimal value if it is positive. The second derivative will be the highest value if it is negative.
Given function:
[tex]-3x^2+18x+3[/tex]
To find the maximum and minimum value of the function use second derivative test.
On differentiating the above function we get,
-6x + 18
Now, find critical point
-6x + 18 = 0
-6x = - 18
x = - 18/-6 = 3
x = 3
Here, x = 3 is the critical point. Now again differentiate the above function we get,
-6
As , [tex]f^{''}(x)[/tex] < 0 , therefore x = 3 will given a maximum value of function and maximum value is
f(3) = [tex]-3(3)^2+18x+3 = -3(9) + 18(3) + 3 = -27 + 54 + 3 = 27 + 3 = 30[/tex]
Hence , function [tex]-3x^2+18x+3[/tex] has maximum value at x = 3 and its maximum value is 30.
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What are the terms of this algebraic equations 3+6ab+c? 3,6ab 6ab,c 3,6ab, and c
The terms of the algebraic equation 3+6ab+c are (d) 3, 6ab and c
How to determine the terms of the equation?The algebraic equation is given as
3 + 6ab + c
Consider an equation represented as
x + y
The terms of the equation are x and y
Also, for an equation represented as
x + y + z;
The terms are x, y and z
Using the above as a guide, the terms of 3 + 6ab + c are 3, 6ab and c
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Explain how it is possible to determine whether the graphs of 5x−3y=2 and 5x-3y=8 are parallel without doing any calculations
The slope of line 1 and line 2 are equal. Then the lines are parallel to each other.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The slope of the parallel lines will be equal.
The equations are given below.
5x − 3y = 2 ...1
5x − 3y = 8 ...2
The slope of line 1 is given as,
5x − 3y = 2
y = (5/3)x − 2/3
The slope of line 1 is 5/3.
The slope of line 2 is given as,
5x − 3y = 8
y = (5/3)x − 8/3
The slope of line 2 is 5/3.
The slope of line 1 and line 2 are equal. Then the lines are parallel to each other.
The graph is given below.
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Expand using Pascal's triangle: (x + 1)4.
Answer:
[tex] {x}^{4} + 4 {x}^{3} + 6 {x}^{2} + 4x + 1[/tex]
Step-by-step explanation:
as shown in photo attached :")
Suppose each data value in a data set is multiplied by 8. What will
happen to the mean?
Select one:
- It will be 4 times as much.
- It will increase by 4.
- It will be 8 times as much.
It will increase by 8, as well.
3.472 divided by ____=0.112 free 25 points!!
When the divisor is missing, you divide the dividend (3.472) by the quotient (0.112)
So, we will do 3.472 divided by 0.112
3.472/0.112 = 31
Another method is multiplication. Multiplication is the opposite of division. We'd multiply 0.112 by 31.
0.112 x 31 = 3.472
In conclusion,
3.472/31 = 0.122
If you need extra help, use this video as a reference
https://youtu.be/9ui8Yh0bwCI?t=83
Answer: 3.472/31 = 0.122
Step-by-step explanation: I hope this helps:)
(Help!)
#8 The tables represent some points on the graphs of lines m and n. Which system of equations is represented by lines m and n?
(A) −6x − y = 8 −3x + 2y = 9
(B)6x + y = −8 3x − 2y = 9
(C) 6x − y = −8 −3x − 2y = 9
(D) 6x − y = 8 3x + 2y = 9
#9 A produce company sells crates filled with a mixture of apples and oranges during the holiday season to grocery stores. Each crate contains a total of 72 pieces of fruit. Suppose that a crate has 8 more apples than oranges.
Which system of linear equations can be used to determine the number of pieces of each kind of fruit in the crate?
(A) a + o = 72 o = a + 8
(B) 8a + o = 72 a + o = 8
(C) a + o = 72 a = o + 8
(D) a + 8o = 72 a + o = 8
#10 The tables represent some points on the graphs of lines r and s. Which system of equations is represented by lines r and s?
(A) −4x + 3y = 12 2x − 5y = −10
(B) −4x − 3y = −12 −2x + 5y = 10
(C) 4x + 3y = −12 2x − 5y = 10
(D) 4x − 3y = −12 −2x − 5y = 10
The linear functions representing the systems of equations in each case are given as follows:
8. (D) 6x − y = 8 3x + 2y = 9
9. (C) a + o = 72 a = o + 8.
10. (C) 4x + 3y = −12 2x − 5y = 10.
What is a linear function?The slope-intercept representation of a linear function is presented by the rule as follows:
y = mx + b
The coefficients of the function and their meaning are listed as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x increases by one.b is the y-intercept of the function, being the numeric value of the function when the input variable x assumes a value of 0.For the line m, we have that when x increases by 6, y increases by 36, hence the slope is:
m = 36/6 = 6.
Considering the positive slope of 6, at x = 0, the numeric value is 12 less than the numeric value at x = 2, hence the intercept is:
b = 4 - 2 x 6 = -8.
Hence the equation is:
y = 6x - 8.
6x - y - 8.
Thus option d is correct.
For item 9, we use the variables a and o. The total is of 72, hence:
a + o = 72.
Suppose that a crate has 8 more apples than oranges, hence:
a = o + 8.
Thus option c is correct.
For line r in item 10, when x increases by 3, y decays by 4, hence the slope is:
m = -4/3.
When x = 0, y = -4, hence the intercept is:
b = -4.
Thus the equation is:
y = -4x/3 - 4
3y = -4x - 4.
4x + 3y = -12.
Meaning that option c is correct.
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Solve the system of equations using substitution.
3x + 2y = 7
x = 3y + 6
The solution of the system of equation by substitution is x = 3 and y = -1.
How to solve system of equation by substitution?System of equation can be solved using different techniques such as substitution method, elimination method and graphical method.
Let's solve the system of equation by substitution method
Therefore,
3x + 2y = 7
x = 3y + 6
Substitute equation(ii) in equation(i)
3(3y + 6) + 2y = 7
9y + 18 + 2y = 7
9y + 2y + 18 = 7
11y = 7 - 18
11y = -11
y = -11 / 11
y = -1
Hence, let's find x
x = 3(-1) + 6
x = -3 + 6
x = 3
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The area of the rectangle ABCD is 28[tex]cm^{2}[/tex]
a) What is the length of side AB in terms of x?
length of AB = (Answer here) (1)
b) If the area of rectangle ABCD is 28[tex]cm^{2}[/tex], we can show that [tex]x^{2}[/tex] + ax = b where a and b are integer values.
Work out the values of a and b.
a = (Answer here) (1) b = (Answer here) (1)
Answer:
see explanation
Step-by-step explanation:
(a)
AB = 4 + x
(b)
the area (A) of rectangle ABCD is calculated as
A = length × breadth
= AB × AD
= (4 + x)(6 + x) ← expand using FOIL
= 24 + 10x + x²
given A = 28 , then
x² + 10x + 24 = 28 ( subtract 24 from both sides )
x² + 10x = 4 ← in the form x² + ax = b
with a = 10 and b = 4
Use the diagram and the given angle measure to find the other three angle measures
By using the diagram and the given angle measure we get that:
if, m∠1 = 143°
then, m∠2 = 37°
m∠3 = 143°
m∠4 = 37°
What is angles?
An angle is formed when two straight lines or rays meet at a common endpoint.
What is Properties of Congruence?
Reflexive Property:For all angles A ,
∠A≅∠A .
An angle is congruent to itself.
Symmetric Property:For any angles A and B ,
if ∠A≅∠B , then ∠B≅∠A .
Order of congruence does not matter.
Transitive Property:For any angles A,B, and C ,
if ∠A≅∠B and ∠B≅∠C , then ∠A≅∠C .
If two angles are both congruent to a third angle, then the first two angles are also congruent.
I assume that, this refers to two intersecting lines which form four angles.
∠1 and ∠2 are supplementary angles whose sum is 180°.∠1 + ∠2 = 180°
143° + ∠2 = 180°
∠2 = 180° - 143°
∠2 = 37°.
∠1 and ∠3 are vertical angles so do with ∠2 and ∠4.Therefore, it is easy to find their measures because vertical angles are congruent in measure.It means that, ∠1 = ∠3 =143° (properties of congruency)
and ∠2 = ∠4 =37° (properties of congruency).
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The equation of the parabola that similar to f(x) = [tex]7x^2[/tex] but the vertex is (3, 5) in the standard form is y = [tex]7(x-3)^2[/tex] + 5
The equation of the parabola
f(x) = [tex]7x^2[/tex]
The standard vertex form of a parabola is
y = [tex]a(x-h)^2[/tex] + k
The coordinates of the vertex of a parabola = (3, 5)
Where (h, k) is the coordinates
From the given function of the parabola f(x) = [tex]7x^2[/tex]
The value of a = 7
Substitute the values in the vertex form of a parabola
y = [tex]7(x-3)^2[/tex] + 5
Hence, the equation of the parabola that is similar to f(x) = [tex]7x^2[/tex] but the vertex is (3, 5) in the standard form is y = [tex]7(x-3)^2[/tex] + 5
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Find the equation of the vertical line that passes through point M(−2, 6)
The equation for the vertical line that goes through point M(−2, 6) is x = -2.
Answer:
The equation of a straight line is:
y = mx + b;
y, x are variables, m is the slope of the line and b is the y intercept.
The slope of a vertical is undefined. Since the line passes through the point M(−2, 6), hence the equation of the vertical line is:
x = -2
Today, I want you to challenge yourself. Don't let word problems intimidate you. In this task you are not solving but rather setting up equations. I know you have the
ability to do this. Here we go!
19
A store sells two brands of headphones: high definition (HD) and basic. It buys x HD headphones at z dollars each, and y basic headphones at w dollars each.
In a-c, write an equation whose solution is the given quantity. Solve Each Equation and set them up.
a) The number of basic headphones the store can purchase if it spends a total of $10,000 on headphones and buys 110 HD headphones for $70 each.
b)
The price the store pays for HD headphones if it spends a total of $2,000 on headphones and buys 55 basic headphones for $20 each.
c) The price the store pays for HD headphones if it spends a total of $800 on headphones and buys eight basic headphones for $80 each.
d) Please give me the actual cost of the headphones and an explanation with a-c
The solution to these are in form of equation as follows.
What is equation?
In arithmetic, an equation may be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.
Main body:
x= number of HD headphones y= number of basic headphones
z = price of HD headphones. w = price of basic headphones
a)
110 (70) + y*w = 10,000
7,700+ y*w = 10,000
y*w = 2,300
y = 2,300/w
b)
x*z+ 55(20) = 2000
x*z = 2000 -1100
x*z = 900
z = 900/x
c)
x*z+y*w = 800
x*z+8(80) = 800
x*z+640=800
X*z=160
Hence the values to the equation are as follows.
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What’s the answer plss
Answer:
<ABD = 67.17
Step-by-step explanation:
Comment
This requires 2 steps.
Find <AFind <ABDFinding <A
<A is found by taking the inverse tangent of the ratio 8/19.
<A = tan-1*(8/19)
<A = 22.83 degrees. We'll round it later.
Finding <ABD
You have to use 2 facts here.
All triangle angles add up to 180 degrees.
You find the third angle by subtracting the other 2.
<A = 22.83 Found above
<ADB = 90 degrees Given
<ABD = ?
Equation
< A + <ADB + <ABD = 180
Solution
22,83 + 90 + <ABD = 180 Combine the left
112.83 + <ABD = 180 Subtract 112.83 from both sides.
112.83-112.83 +<ABD = 180 - 112.83 Combine
<ABD = 67.17
The answer to the nearest degree is 67.
Select the correct answer. Amy types at an average speed of 38 words per minute. She has already typed 1,450 words of her final paper, which will be more than 4,000 words. Which inequality can be used to solve for x, the number of minutes it will take Amy to finish typing her paper? A. 38x − 1,450 > 76 B. 38(x + 1,450) > 4,000 C. 38x > 4,000 D. 38x + 1,450 > 4,000
The inequality that can be used to solve for x, the number of minutes it will take Amy to finish typing her paper is D. 38x + 1,450 > 4,000.
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
Since Amy types at an average speed of 38 words per minute and has already typed 1,450 words of her final paper, which will be more than 4,000 words.
Let the number of minutes be x.
This will be:
1450 + 38(x) > 400
1450 + 38x > 4000
In conclusion, the correct option is D.
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help me please please please 33333
Tim, Paco, Maria, and Jenny are standing in line for lunch. Jenny is standing between Paco and Maria, and Paco’s position in line is an odd number. Tim is not standing on either end of the line, and he is in front of Jenny.
Which friend is standing first in line?
Answer:
Paco, Tim, Jenny, Maria
Step-by-step explanation: