For the given equations , the solutions are as follows :
(a) the equation [tex]6x + 8 = 7x + 13[/tex] has exactly one solution , and the solution is .
(b) the equation [tex]6x + 8 = 2(3x + 4)[/tex] has Infinitely Many Solutions .
(c) the equation [tex]6x + 8 = 6x + 13[/tex] has No Solution .
Equation (a) ;
the equation is given as [tex]6x + 8 = 7x + 13[/tex] , we solve the equation further ,
we get ;
[tex]7x - 6x = 13 - 8[/tex] ;
[tex]x = 5[/tex] ;
So , the equation has exactly one solution and the solution is [tex]x = 5[/tex] .
Equation (b) ;
the equation is given as [tex]6x + 8 = 2(3x + 4)[/tex] , we solve equation further ,
we get ;
[tex]6x + 8 = 6x + 8[/tex] ;
On solving further ,
we have ;
[tex]8 = 8[/tex] ;
So , the equation has infinitely many solutions .
Equation (c) ;
the equation is given as [tex]6x + 8 = 6x + 13[/tex] , we solve equation further ,
we get ;
[tex]8 = 13[/tex] ;
and we know that [tex]8\neq 3[/tex] ,
So , the equation have No Solution .
The given question is incomplete , the complete question is
For each equation determine whether it has no solutions, exactly one solution, or is true . for all values of x (and has infinitely many solutions). If an equation has one solution, solve to find the value of x that makes the statement true.
(a) 6x + 8 = 7x + 13
(b) 6x + 8 = 2(3x + 4)
(c) 6x + 8 = 6x + 13
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Find the distance AB rounded to the nearest tenth Need help?
I'll give brainliest PLZZZ!
Solve the following problem using the elimination method:
-3x + 7y = 12
x - 2y = -3
Answer:
(3, 3)
Step-by-step explanation:
do you need to show your work or just the answer?
-3x+7y=12 mulitply both sides by 3 of the bottom.
x-2y=-3
-3x+7y=12
3x-6y=-9 < which turns into this
Then you have to sum the equations (vertically) to eliminate one variable.
y=3
Then substitute the given value of "y" into the equation
x-2 * 3=-3 then solve the equation for x (x=3)
y=3 x=3 (3, 3)
*Check your answers.
-3*3+7*3=12
3-2*3=-3
12=12
-3=-3
(-3, -3)
when x equal 8 to the x^6-64x^4+x^2-7x-51
The expression (x - 8) is not the factor of the polynomial x⁶ - 64x⁴ + x² - 7x - 51.
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The polynomial is given below.
⇒ x⁶ - 64x⁴ + x² - 7x - 51
If the value of the polynomial is zero at x = 8. Then (x - 8) will be the factor of the polynomial.
At x = 8, the value of the polynomial is given as,
⇒ (8)⁶ - 64(8)⁴ + (8)² - 7(8) - 51
⇒ 262,144 - 262,141 + 64 - 56 - 51
⇒ - 43
The expression (x - 8) is not the factor of the polynomial x⁶ - 64x⁴ + x² - 7x - 51.
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find the simple interest of 600 Naira for 1 whole number 1 over 2 years at 3 whole 1 over 6 % per annum
Answer:
₦28.5
Step-by-step explanation:
[tex]interest = \frac{600 \times 1.5 \times 3 \frac{1}{6} }{100} [/tex]
Hi guys help me on this it’s math :((:))?!!!!
Answer:
3.59
Step-by-step explanation:
guys please help i’m blanking!!!
Select all the functions whose graphs include the point (16,4)
Mr. Hasson has a coupon that says 25% off. He buys a pair of biking shorts that originally costs $34. He calculates 25% of 34 and determines he needs to pay $8.50 for the shorts
Explain
What is the error?
Why do you think he made that error?
What is the correct way to find the sale price?
What is the coefficient of XY in the expression *?
The numerical coefficient of xy in the given expression -7xy is -7.
The numerical coefficient of an expression is a number that is multiplied by a variable or a product of variables. The coefficient is the number that appears in front of a variable or a product of variables. In the case of a constant term, the coefficient is the constant itself.
For example, in the expression 3[tex]x^2[/tex] + 4x - 5, the numerical coefficient of [tex]x^2[/tex] is 3, the numerical coefficient of x is 4, and the numerical coefficient of the constant term -5 is -5.
Here, in the expression -7xy, the numerical coefficient of xy is -7.
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The complete question is -
What is the coefficient of XY in the expression - 7xyz?
What is the additive identity for rational numbers?
Answer:
0Step-by-step explanation:
The rational number 0 is the additive identity for rational numbers.
As,
If we add any rational number to zero we get that number itself.
E.g.
[tex]0 + \frac{1}{2} = \frac{1}{2} [/tex]
and
[tex]0 + ( - \frac{5}{6} ) = ( - \frac{5}{6} )[/tex]
Answer:
questions:What is the additive identity for rational numbers?ans:0
what is the estimated value of 102.3x4.7
The estimated value of the multiplication is equivalent to 480.81.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the expression as -
102.3 x 4.7
480.81
Therefore, the estimated value of the multiplication is equivalent to 480.81.
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a flight from Durban to cape town takes 1 hour if an aeroplane flies at 800km/h. at what speed will it fly if the same flight takes 2 hours
Answer:
400km/
Step-by-step explanation:
the faster you go the less time it takes.
Express the ratio of 300 miles to 25 gallons of gasoline as a unit rate. Simplify your answer. Show your work
Answer:
1 gallon to 12 miles
Step-by-step explanation:
Distance = 300 miles
Gasoline used = 25 gallons
Expressing as a unit rate :
Distance covered per gallon of gasoline :
Distance / gasoline used
300 / 25
12 miles
Hence, the unit rate is :
1 gallon of gasoline = 12 miles
1 gallon of gasoline will cover 12 miles in distance.
Please help!! Will give brainiest!1 Im so confused
Answer:
i dont know
Step-by-step explanation:
Which factor or factors listed below are external influences on a loan’s interest rate? I. the borrower’s credit history II. the length of the loan III. the federal funds rate a. I and II b. I and III c. II and III d. III only Please select the best answer from the choices provided A B C
Answer:C
Step-by-step explanation:
Answer:
D. III only
Step-by-step explanation:
The data below represents the number of desks on each floor of Texter Corporate.
\qquad54,60,65,66,67,69,70,72,73,75,7654,60,65,66,67,69,70,72,73,75,7654, comma, 60, comma, 65, comma, 66, comma, 67, comma, 69, comma, 70, comma, 72, comma, 73, comma, 75, comma, 76
Which box plot correctly summarizes the data?
A box plot that correctly summarizes the set of data is: box plot C.
What is a box-and-whisker plot?In Mathematics, a box plot sometimes also referred to as box-and-whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.
Based on the information provided above, the five-number summary for the given data set include the following:
Minimum = 54First quartile = 65.Median = 69.Third quartile = 73.Maximum = 76.In conclusion, we can logically deduce that the median of the given data set is 69 while the first quartile is 65 and the third quartile is equal to 73.
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-2n = -1 1/4
................................
Answer:
n = 5/8
Step-by-step explanation:
-2n = -1 1/4
-1 1/4 = -5/4
So, our equation is
-2n = -5/4
Divided both sides by -2
n = 5/8
So, the answer is
n = 5/8
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 25, 150, 900, ... Find the 9th term.
Answer:80
Step-by-step explanation:by5 will be this and 20 by 10 mulltiply 60 by 9
Multiply:4x^3sqrt4x^2(2^3sqrt32x^2-x^3sqrt2x)
8x^5\left(32\sqrt{2}x^2-\sqrt{2}x^4\right)
Show that (2,1) is a solution of the system of equations.
What is the distance between-7 and 3
Answer:
10
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
to help you with this just draw a number line.
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
Help me solve this please
Answer:
Step-by-step explanation:
The four options just swap the order, and you should choose them all
y A storage trunk is 28 inches wide by 18 inches deep by 22 inches high. What is the volume of the trunk? TIME SENSITIVE
Answer: Answer
Step-by-step explanation: type 3f3FcEi in bitly
delete the space for it to work
Are 0.34 and 3/4 equivalent? Explain your answer in complete sentences.
Answer:
No because 3/4 is equal to 0.75 and 0.75 is not equal to 0.34
Step-by-step explanation:
Answer:
No. 3/4 is equavilent to 0.75 not 0.34.
PLEASE HELP! GIVING BRAINLIEST!
Answer:
The answer is A
Step-by-step explanation:
Please help if you want brianleist!! :) uhm don't mind update- NO LINkS child..
Ty!
Answer: 5 or c
Step-by-step explanation:
I NEED HELP!!
1ST QUESTION
a). 5 divided by 3/10
b.) 5 divided by 9/10
Answer:
a) 5 divided by 3/10
To solve this problem, we need to perform the division first, followed by the division. Dividing 5 by 3/10, we have:
5 / (3/10) = (5*10)/3 = 50/3
Simplifying, we have:
50/3 = 16 2/3
Therefore, the result of 5 divided by 3/10 is 16 2/3.
b) 5 divided by 9/10
To solve this problem, we need to perform the division first, followed by the division. Dividing 5 by 9/10, we have:
5 / (9/10) = (5*10)/9 = 50/9
Simplifying, we have:
50/9 = 5 5/9
Therefore, the result of 5 divided by 9/10 is 5 5/9.
Step-by-step explanation:
Answer:
a).5 divided by 3/10
= 16.6666666667
And,
b).5 divided by 9/10
=4.5
ANYONE KNOWS THAT ANSWER FOR THIS PLEAS EHELP ME ASAP
Answer:
triangular prism
Step-by-step explanation:
Shape 1 attached is a triangular prism it has the same name and same net but is not identical as its slightly longer. The top side has 5 edges and its base has 4 edges
Has the same Faces: 5
Has the same Edges: 9
Has the same Vertices: 6
Shape 2 attached, is called a square based pyramid
It differs as its top side has 4 edges and its base has 4 edges where the base is the only common side and slope as the other one.
Faces: 5
Edges: 8
Vertices: 5
Which of the following is not a strategy for finding P-values with the Student t distribution? Choose the correct answer below. O Use a TI-83/84 Plus calculator to find the P-value rounded to at least 4 decimal places. O Use the table in the book with the appropriate number of degrees of freedom to find a range of values containing the P-value. O Use software such as Minitab, Excel, or STATDISK to find the P-value rounded to at least 4 decimal places. O Use the table in the book to find the P-value rounded to at least 4 decimal places
Use the table in the book to find the P-value rounded to at least 4 decimal places.
It is not possible to find the exact P-value rounded to at least 4 decimal places by using tables, as the P-value is a continuous variable and tables only give a range of values containing the P-value.
The probability that you would have discovered a specific collection of observations if the null hypothesis were true is expressed as a number called the p value, which is determined from a statistical test.
In order to determine whether to reject the null hypothesis, P values are utilised in hypothesis testing. You are more inclined to reject the null hypothesis the smaller the p value.
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Find the measure of the two marked angles NEED HELP ASP!!!!!
The measure of the two marked angles are as follows:
60°60°How to find angles when parallel lines are cut by a transversal?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate exterior angle, alternate interior angles, linear angles, vertically opposite angles, same side interior angles etc.
According to the diagram the parallel lines are cut by the transversal and formed the angles.
Hence, the angles are alternate exterior angles.
Alternate exterior angles are congruent. Hence, the angles are as follows:
10x - 20 = 7x + 4
10x - 7x = 4 + 20
3x = 24
x = 24 / 3
x = 8
Therefore, the angles are as follows:
10x - 20 = 10(8) - 20 = 80 - 20 = 60 degrees
7x + 4 = 7(8) + 4 = 56 + 4 = 60 degrees.
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How do you solve systems by substitution step by step?
Answer:
1.Solve one of the equations for either variable.
2.Substitute the expression from Step 1 into the other equation.
3.Solve the resulting equation.
4.Substitute the solution in Step 3 into one of the original equations to find the other variable.
5.Write the solution as an ordered pair.
6.Check that the ordered pair is a solution to both original equations.
Step-by-step explanation: