Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(3*x+7)^2+5-((7*x-9)^2*x+5)=0
Step by step solution :
STEP1:
Equation at the end of step 1
(((3x+7)2)+5)-(x•(7x-9)2+5) = 0
STEP2:
Checking for a perfect cube
2.1 -49x3+135x2-39x+49 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: -49x3+135x2-39x+49
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -39x+49
Group 2: -49x3+135x2
Pull out from each group separately :
Group 1: (-39x+49) • (1) = (39x-49) • (-1)
Group 2: (49x-135) • (-x2)
Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
Find roots (zeroes) of : F(x) = -49x3+135x2-39x+49
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is -49 and the Trailing Constant is 49.
The factor(s) are:
of the Leading Coefficient : 1,7 ,49
of the Trailing Constant : 1 ,7 ,49
Let us test ....
Equation at the end of step
2
:
-49x3 + 135x2 - 39x + 49 = 0
STEP
3
:
Cubic Equations:
3.1 Solve -49x3+135x2-39x+49 = 0
Future releases of Tiger-Algebra will solve equations of the third degree directly.
Meanwhile we will use the Bisection method to approximate one real solution.
Approximating a root using the Bisection Method :
We now use the Bisection Method to approximate one of the solutions. The Bisection Method is an iterative procedure to approximate a root (Root is another name for a solution of an equation).
The function is F(x) = -49x3 + 135x2 - 39x + 49
At x= 3.00 F(x) is equal to -176.00
At x= 2.00 F(x) is equal to 119.00
Intuitively we feel, and justly so, that since F(x) is negative on one side of the interval, and positive on the other side then, somewhere inside this interval, F(x) is zero
Procedure :
(1) Find a point "Left" where F(Left) < 0
(2) Find a point 'Right' where F(Right) > 0
(3) Compute 'Middle' the middle point of the interval [Left,Right]
(4) Calculate Value = F(Middle)
(5) If Value is close enough to zero goto Step (7)
Else :
If Value < 0 then : Left <- Middle
If Value > 0 then : Right <- Middle
(6) Loop back to Step (3)
(7) Done!! The approximation found is Middle
Next Middle will get us close enough to zero:
F( 2.596896529 ) is 0.000000414
The desired approximation of the solution is:
x ≓ 2.596896529
Note, ≓ is the approximation symbol
One solution was found :
x ≓ 2.596896529
Select the correct answer. Given the domain {-4,0,5), what is the range for the relation 12x + 6y= 247 OA (-12, 4, 6) ОВ. 12,4,9) Oc. 12, 4, 6) OD. 44, 4, 14) I'll give brainliest!
The range for the relation 12x + 6y= 247 is,
Range = {49.17, 41.17, 31.17}
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
⇒ 12x + 6y = 247
Now,
We have;
The domain is, {-4,0,5)
Hence, The range of the function is find as;
Put x = - 4;
⇒ 12x + 6y = 247
⇒ 12 × - 4 + 6y = 247
⇒ - 48 + 6y = 247
⇒ 6y = 247 + 48
⇒ 6y = 295
⇒ y = 49.17
Put x = 0;
⇒ 12x + 6y = 247
⇒ 0 + 6y = 247
⇒ 6y = 247
⇒ y = 41.17
Put x = 5;
⇒ 12x + 6y = 247
⇒ 60 + 6y = 247
⇒ 6y = 247 - 60
⇒ 6y = 187
⇒ y = 31.17
Thus, The range for the relation 12x + 6y= 247 is,
Range = {49.17, 41.17, 31.17}
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ7
a ladder 7.5m long rests against a wall . the botton of ladder is 2.1m from the wall . calculate how far the ladder reaches up the wall.
PLEASE SOLVE THIS QUESTION!!
Answer:
h = √(7.5² - 2.1²) = 7.2 m
Step-by-step explanation:
Pythagorean theorem
4.
Which of the following equations has
both -1 and 4 as solutions?
A) x²+4x+4 B) x2-4x+3
C) x2-3x-4 D) x2+3x-4
What is 2 3/8 - 1 5/8 =
2 3/8 - 1 5/8
19/8 - 13/8
6/8
3/4
The answer is 3/4
Sub 2 Raging Sushi plz
Answer:
3/4
Step-by-step explanation:
A group of workers is harvesting carrots at a constant rate. An equation that represents the number of bushels of carrots the workers picked over a period of time, in hours, is y=6x+2. What are the rate of change and the initial amount? Explain the meaning of the rate of change and the initial amount for this situation.
Answer:
Step-by-step explanation:
y = bushels of carrots picked
6 = bushels of carrots per hour (rate of change)
x = time worked at picking
2 = initial number of bushels picked before time starts.
My original answer was deleted for "Violating community standards" but I have no idea why my answer ran afoul of the moderator's interpretation of the standard. Also I see no way to protest the action or to learn from my "mistake".
which expression is equivalent to 15c + 20?
Answer: (3c+4)
Step-by-step explanation:
can someone help me with this question
well, since each bar is parallel to the adjacent one, so if A || B || C || D || E || F, then A || F.
now, for the angles, Check the picture below.
Can someone help me on this? Thanks!
Answer:
it's the graph c
Step-by-step explanation:
(0, -2)
(1, 0)
(2, 2)
Express the number in scientific notation. 7/100
Answer: 7
×
10
−
2
Step-by-step explanation:
1
73
Lech bought 8 t-shirts al
for the same proe. After
using a coupon that took $4
off the pnce, her told
before tax was $36. What
was the cost of each shirts
Answer:
[tex]t=5[/tex] dollars per t-shirt
Step-by-step explanation:
Read the problem and write your equation while following along with it
We have 8 t-shirts
Lets 8 t-shirts be represented by 8t
So for our equation we will place and [tex]8[/tex]
Our equation: [tex]8t[/tex]Now it says we have a coupon that subtracts 4 dollars from our total
Our equation: [tex]8t-4[/tex]The final part to add to our equation says that our total before tax was 36 dollars
So here is our equation: [tex]8t-4=36[/tex]add [tex]$[/tex][tex]4[/tex] to both sides
[tex]8t=40[/tex]
Divide both sides by [tex]8[/tex]
[tex]t=5[/tex] dollars per t-shirt
-Side note, make sure to spell your question right. It was a tad bit confusing to read at the start.
-Brainliest please :)
HELP!!!! ME PLSSSSSSSSSSSSSSSSSSSSS
Answer:
A for the Venn Diagram and B for the chart.
Step-by-step explanation:
1. Domain: (-2, -1, 0, 2)
Range: (-4, -2, 2)
2. Domain: (-4, 2, 1, 4)
Range: (-2, 1, 4, 4)
The domain represents the values of the independent variable (x) and the range represents the values of the dependent variable (y). The values of the independent variable are inputs that result in an output in a relation. The values in the range are outputs that correspond to inputs from the independent variable.
if the mean of a data is 316 and the sum of its observation is 3792 find the number of observations in the data.
Answer:
12
Step-by-step explanation:
mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
Here mean = 316 and sum = 3792 , count n is required to be found, so
[tex]\frac{3792}{n}[/tex] = 316 ( multiply both sides by n )
3792 = 316n ( divide both sides by 316 )
12 = n
There are 12 observations in the data
–42 >7f +3 what is f
Answer:
[tex]\displaystyle f < \frac{-45}{7}[/tex]
General Formulas and Concepts:
Algebra I
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTerms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle -42 > 7f + 3[/tex]
Step 2: Solve for f
[Subtraction Property of Equality] Subtract 3 on both sides: [tex]\displaystyle -45 > 7f[/tex][Division Property of Equality] Divide 7 on both sides: [tex]\displaystyle \frac{-45}{7} > f[/tex]Rewrite: [tex]\displaystyle f < \frac{-45}{7}[/tex]Topic: Algebra I
Unit: One-Variable Equations
Study the visual fraction below.
Answer:
The answer would be D
Step-by-step explanation:
5 1/3 ÷ 2/3 = 8
16/3 ÷ 2/3 = 8
16 ÷2 = 8
b
b. (2x) + +
)
(2x3/4)+1/4=
Answer:
Exact Form:
7/4
Decimal Form:
1.75
Mixed Number Form:
1 3/4
Step-by-step explanation:
To add fractions, find the LCD and then combine.
How do you round 245.456456 to the nearest hundredth?
Answer: 245.46
Step-by-step explanation:
Hundredth is the 2nd number after the decimal so in this, it would be 245.456456. I'd assume you already know how to round.
25-5x=15-2x+10-3x
What does x = and does it have one solution or infinite or no solution
Answer:
Infininte, Any number
Step-by-step explanation:
Simplify:
25 - 5x = 25 - 5x
help help hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeellllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
E is correct
...............
An inventor makes a rectangular array of 1024 LEDs. Each row will
have 16 LEDs. How many rows of LEDs does he need?
Answer:
64
Step-by-step explanation:
Since the total area of the rectangle (in this case number of leds) is:
Total LEDs = rows * columns
you can just replace the values:
1024 = 16 * x
And then divide 1024 / 16 to find x
x = 64
Find the volume of each shape. Round your answer to two decimal places.
Answer:
25
Step-by-step explanation:
25
Marking as brainliest! Find the missing side
Answer:
The trick for these is finding out what makes the largest known value into the corresponding lower value. Then we use that number to find the missing side length based on the value we know.
1. The missing side length is 40.
We can find this by dividing 70 by 56 to get 1.25. We then multiply this by 32 to get our missing side length.
2. The missing side length is 91.
We can find this by dividing 130 by 30 to get 4.333(repeating decimal). We then multiply this by our known value (21) to get our answer of 91.
3. The missing side length is 21.
We can fid this by dividing 36 by 12 to get 3. Then we multiply this by 7 (our known value) to get our answer.
Step-by-step explanation:
hope this helps. . .<3
good luck! UwU
Solve for x. Round your answer to the nearest tenth.
Answer:
-x + 20
Step-by-step explanation:
13-x+3+4
13 - x + 3 - 3 = 4 + 3
13 - x = 7
= -x + 7 + 13
= -x + 20
#Carry on LearningNO WORK INCLUDED! JUST ANSWERS!!! PLS HELP
Answer:
6) = 55
7) = 68
8) = 148
9) = 102
10) = 38
5) = 48
4) =30
3) = 10
2) = 6
1) =4
310.11 divided by 2????
Answer:
155.055
Step-by-step explanation:
hope this helps
Answer:
155.055
Step-by-step explanation:
Help !!
There’s Two Truths and One Lie
Below are three statements. 2 are true and one is not. Which one of the
statements is not true? Explain how you know this.
1) To solve x - 3 = 6, you could add 3 to both sides.
2) To solve x - 3 = 6, you could subtract 3 from both sides.
3) To solve x - 3 = 6, you could think of a number that when you subtract 3 would
give you 6.
Use the ( RACE )method to answer. Type your answer in the box below using complete
sentences. Your answer should have at least 2-3 sentences.
R: Restate the problem
A: Answer the question
C: (not used in math)
E: Explain
Answer:
1 & 3 correct, not sure how race method is used but it should be enough
Step-by-step explanation:
1 is correct since when you add 3 to -3 you get zero and leaves x on the left of the equal sign. then it's equally on both side so you add 3 to 6
2 isn't correct, -3-3 gives -6 and x-6=3 won't give much of an answer
3 is also correct. You basically think "a number that's 6 when you take away 3? could it be 9?" then you try and go 9-3? yes it's 6.
Multiply & Divide Fractions Task Card # 29
3
4
Beverly walks for exercise
mile every day: How far does
she walk each week?
Answer:
I dont understand what you're saying, but im thinking 7 miles?
Which associations best describe the scatter plot?
Select each correct answer.
Linear association
Negative association
Positive association
Nonlinear association
A company makes 110 bags. 30 of the bags have buttons but no zips. 23 of the bags have zips but no buttons. 23 of the bags have neither zips nor buttons. How many bags have zips on them?
Well, 30+23+23 = 76 which means there are only a total of 76 bags that are accounted for. 110-76 = 34 bags which we do not know if they have zips or not. If we assume they have zips, that would be 34+23 bags with zips which is 57 bags.
Use the image above for question ^^
A reflection over y = x, the coordinates reverse: (x,y) becomes (y,x)
Using point A which is located at (5,2) reflection y = x A' would become (2,5)
On the graph shown the location of A' is (2,5) so the answer is
4. a reflection over the line y = x
On what intervals is the function shown in the graph increasing?
A) x<-4 and x > 2
B) x<-4 and -1 < x < 2
C) -4 2
D) -4
Answer: [tex]-4 < x < -1[/tex] and [tex]x > 2[/tex]
Explanation:
The graph is increasing when the curve moves uphill as you move to the right. In other words, as x increases, y increases.
The first portion where the graph increases is from x = -4 to x = -1. In the span of -4 < x < -1 is when the graph goes uphill as shown by the red portion below. The blue portion is the second increasing piece that goes on forever upward, and this happens when x > 2.