Please help me! This is is rational function and I don’t know how to/ don’t remember how do this! How would I find and write the equation for it?
Answers
An answer is
[tex]\displaystyle f\left(x\right)=\frac{\left(x+1\right)^3}{\left(x+2\right)^2\left(x-1\right)}[/tex]
Explanation:
Template:
[tex]\displaystyle f(x) = a \cdot \frac{(\cdots) \cdots (\cdots)}{( \cdots )\cdots( \cdots )}[/tex]
There is a nonzero horizontal asymptote which is the line y = 1. This means two things: (1) the numerator and degree of the rational function have the same degree, and (2) the ratio of the leading coefficients for the numerator and denominator is 1.
The only x-intercept is at x = -1, and around that x-intercept it looks like a cubic graph, a transformed graph of [tex]y = x^3[/tex]; that is, the zero looks like it has a multiplicty of 3. So we should probably put [tex](x+1)^3[/tex] in the numerator.
We want the constant to be a = 1 because the ratio of the leading coefficients for the numerator and denominator is 1. If a was different than 1, then the horizontal asymptote would not be y = 1.
So right now, the function should look something like
[tex]\displaystyle f(x) = \frac{(x+1)^3}{( \cdots )\cdots( \cdots )}.[/tex]
Observe that there are vertical asymptotes at x = -2 and x = 1. So we need the factors [tex](x+2)(x-1)[/tex] in the denominator. But clearly those two alone is just a degree-2 polynomial.
We want the numerator and denominator to have the same degree. Our numerator already has degree 3; we would therefore want to put an exponent of 2 on one of those factors so that the degree of the denominator is also 3.
A look at how the function behaves near the vertical asympotes gives us a clue.
Observe for x = -2,
as x approaches x = -2 from the left, the function rises up in the positive y-direction, andas x approaches x = -2 from the right, the function rises up.Observe for x = 1,
as x approaches x = 1 from the left, the function goes down into the negative y-direction, andas x approaches x = 1 from the right, the function rises up into the positive y-direction.We should probably put the exponent of 2 on the [tex](x+2)[/tex] factor. This should help preserve the function's sign to the left and right of x = -2 since squaring any real number always results in a positive result.
So now the function looks something like
[tex]\displaystyle f(x) = \frac{(x+1)^3}{(x+2 )^2(x-1)}.[/tex]
If you look at the graph, we see that [tex]f(-3) = 2[/tex]. Sure enough
[tex]\displaystyle f(-3) = \frac{(-3+1)^3}{(-3+2 )^2(-3-1)} = \frac{-8}{(1)(-4)} = 2.[/tex]
And checking the y-intercept, f(0),
[tex]\displaystyle f(0) = \frac{(0+1)^3}{(0+2 )^2(0-1)} = \frac{1}{4(-1)} = -1/4 = -0.25.[/tex]
and checking one more point, f(2),
[tex]\displaystyle f(2) = \frac{(2+1)^3}{(2+2 )^2(2-1)} = \frac{27}{(16)(1)} \approx 1.7[/tex]
So this function does seem to match up with the graph. You could try more test points to verify.
======
If you're extra paranoid, you can test the general sign of the graph. That is, evaluate f at one point inside each of the key intervals; it should match up with where the graph is. The intervals are divided up by the factors:
x < -2. Pick a point in here and see if the value is positive, because the graph shows f is positive for all x in this interval. We've already tested this: f(-3) = 2 is positive.-2 < x < -1. Pick a point in here and see if the value is positive, because the graph shows f is positive for all x in this interval.-1 < x < 1. Pick a point here and see if the value is negative, because the graph shows f is negative for all x in this interval. Already tested since f(0) = -0.25 is negative.x > 1. See if f is positive in this interval. Already tested since f(2) = 27/16 is positive.So we need to see if -2 < x < -1 matches up with the graph. We can pick -1.5 as the test point, then
[tex]\displaystyle f(-1.5) = \frac{\left(-1.5+1\right)^3}{\left(-1.5+2\right)^2\left(-1.5-1\right)} = \frac{(-0.5)^3}{(0.5)^2(-2.5)} \\= (-0.5)^3 \cdot \frac{1}{(0.5)^2} \cdot \frac{1}{-2.5}[/tex]
We don't care about the exact value, just the sign of the result.
Since [tex](-0.5)^3[/tex] is negative, [tex](0.5)^2[/tex] is positive, and [tex](-2.5)[/tex] is negative, we really have a negative times a positive times a negative. Doing the first two multiplications first, (-) * (+) = (-) so we are left with a negative times a negative, which is positive. Therefore, f(-1.5) is positive.
Related Questions
An electrician cuts a 136 foot long piece of cable. One piece is 16 feet less than 3 times the length of the other piece. Find the length of each piece
Answers
Answer:
98 ft and 38 ft
Step-by-step explanation:
We know that the initial length of the piece is 136 feet
Then the piece is cut into two pieces.
Let's call x the length of the first piece of cable and call z the length of the second piece of cable.
So we know that
[tex]x + z = 136[/tex]
and
[tex]x = 3z-16[/tex]
Now we substitute the second equation in the first one and solve for the variable z
[tex]3z-16 + z = 136[/tex]
[tex]4z-16= 136[/tex]
[tex]4z= 136+16[/tex]
[tex]z= \frac{152}{4}[/tex]
[tex]z=38\ ft[/tex]
Now we find the length x
[tex]x + 38 = 136[/tex]
[tex]x= 136-38[/tex]
[tex]x= 98\ ft[/tex]
Determine the values of the letters to complete the conditional relative frequency table by column.
a =
b =
Answers
Answer:
[tex]a=0.1\\b=0.85[/tex]
Step-by-step explanation:
In this problem we are calculating the relative frequency conditional by columns.
Therefore the sum of the frequencies of each column must be equal to 1.
Then we use this condition to calculate the values of a and b
So:
[tex]0.9 + a = 1\\a = 1-0.9\\a = 0.1[/tex]
[tex]b +0.15 = 1\\b = 1-0.15\\b = 0.85[/tex]
Finally
[tex]a=0.1\\b=0.85[/tex]
Answer:
Values of a and b are:
a=0.1
and b=0.85
Step-by-step explanation:
As we can clearly see from the table that sum of each column is equal to 1.0
i.e. 0.9+a=1.0
and b+0.15=1.0
Hence, a=1.0-0.9
= 0.1
and b=1.0-0.15
=0.85
Hence, Values of a and b are:
a=0.1
and b=0.85
Including 6% sales tax, an inn charges $135.68 per night. Find the inns nightly cost
Answers
Answer:
144 dollars
Step-by-step explanation:
Classify the following triangle. Check all that apply.
Answers
Answer:
Scalene and Acute
Step-by-step explanation:
Since all of the leg measures of the triangle are not equal to each other, this triangle would be scalene.
In addition, all of the angle measures of the triangle is less than 90 making it an acute triangle.
Answer:
Scalene and Acute
Step-by-step explanation:
Since none of the sides have the same length: scalene
Isosceles ( 2 sides same length) False
Equilateral( 3 sides same length) False
Acute: all angles less than 90 degrees: True
Right: one angle equal to 90 degree: False
Obtuse: One angle greater than 90 degrees: False
What is the lcm of xy(x+1) and x(x+2)
Answers
[tex]xy(x+1)=x\cdot y\cdot (x+1)\\x(x+2)=x\cdot (x+2)\\\\\text{lcm}(xy(x+1),x(x+2))=x\cdot y \cdot (x+1)\cdot (x+2)=xy(x+1)(x+2)[/tex]
if f(x) =3x-2 and g(x) =2x+1 fins (f+ g) (x)
Answers
Answer:
5x - 1
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
f(x) + g(x) = 3x - 2 + 2x + 1 ← collect like terms
= 5x - 1
[tex](f+g)(x)=3x-2+2x+1=5x-1[/tex]
Point x,y reflected across the y axis is what?
Answers
Answer:
opposite
Step-by-step explanation:
Answer:
(- x, y)
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y )
Subtract the following complex numbers:
(2 + 2i) - (14+ 16i)
Answers
Answer:
-12-14i
Step-by-step explanation:
subtract real from real number and imaginary from imaginary number
Answer:
-12 -14i
Step-by-step explanation:
(2 + 2i) - (14+ 16i)
Distribute the negative sign
2+2i -14-16i
Subtract the real part
2-14 = -12
Subtract the imaginary part
2-16 = -14
Put them back together in the form a + bi where a is the real part and b is the imaginary part
-12 -14i
Find the value of "m" that gives infinitely many solutions ! PLEASE HELP!!
18 + 2 (X-7) = 4+ Mx
THIS IS A 8TH GRADE SUMMER PACKET! PLEASE HELP! I'LL MARK ANYONE WHO HELPS BRAINLIEST, if you can explain
Answers
Answer: 2x
Step-by-step explanation: 18+2(x-7)=4+M. First distribute 2 to (x-7), then you will be left with 18+2x-14=4+M. You can further simplify the left side of the equation by subtracting 14 from 18, now you are left with 2x+4=4+M. Subtract 4 from both sides to solve for M, 2x=M.
Minus (18-14) = 4 + 2x = 4+ mx
Minus 4 over= 2x = mx
X=2
Hope this helps you!!
A plot of land has an area 33.75 square feet. Jackson wants to put a 4-foot by 4 foot shed on the land. He can only do this if the height of the trapezoid is at least 4.5 feet. What is the length of the f the trapezoid
Answers
Answer:
The height of the trapezoid is [tex]4.5\ ft[/tex]
Step-by-step explanation:
we know that
The area of a trapezoid is equal to
[tex]A=\frac{1}{2}(b1+b2)h[/tex]
In this problem we have
[tex]A=33.75\ ft^{2}[/tex]
[tex]b1=5\ ft[/tex]
[tex]b2=10\ ft[/tex]
substitute in the formula and solve for h
[tex]33.75=\frac{1}{2}(5+10)h[/tex]
[tex]67.5=15h[/tex]
[tex]h=67.5/15=4.5\ ft[/tex]
Answer:
[tex]h=4.5\text{ feet}[/tex]
Step-by-step explanation:
We have been given that a plot of land has an area 33.75 square feet. Jackson wants to put a 4-foot by 4 foot shed on the land. Jackson wants to put a 4-foot by 4 foot shed on the land. He can only do this if the height of the trapezoid is at least 4.5 feet.
We will use area of trapezoid to find the height of trapezoid.
[tex]\text{Area of trapezoid}=\frac{1}{2}(a_1+a_2)\times h[/tex], where,
[tex]a_1\text{ and }a_2=\text{ Parallel sides or bases of trapezoid}[/tex],
[tex]h=\text{Height}[/tex].
We can see that parallel sides are 5 feet and 10 feet. We have been given that area of trapezoid is 33.75 square feet.
[tex]33.75\text{ feet}^2=\frac{1}{2}(\text{ 5 feet + 10 feet})\times h[/tex]
[tex]33.75\text{ feet}^2=\frac{1}{2}(\text{ 15 feet})\times h[/tex]
Switch sides:
[tex]2\times\frac{1}{2}(\text{ 15 feet})\times h=2\times 33.75\text{ feet}^2[/tex]
[tex]\text{ 15 feet}\times h=67.50\text{ feet}^2[/tex]
[tex]\frac{\text{ 15 feet}\times h}{\text{ 15 feet}}=\frac{67.50\text{ feet}^2}{\text{ 15 feet}}[/tex]
[tex]h=4.5\text{ feet}[/tex]
Since the height of trapezoid is 4.5 feet, therefore, Jackson can put a 4 foot by 4 foot shed on the land.
The graph of which function will have a maximum and a y-intercept of 4? f(x) = 4x2 + 6x – 1 f(x) = –4x2 + 8x + 5 f(x) = –x2 + 2x + 4 f(x) = x2 + 4x – 4
Answers
Answer:
It is f(x) = -x^2 + 2x + 4.
Step-by-step explanation:
As it has a maximum the coefficents of x^2 will be negative.
f(x) = -x^2 + 2x + 4
The y-intercept occurs when x = 0 so
y-intercept = 0 + 0 + 4 = 4.
-
ANSWER
[tex]f(x) = - {x}^{2} + 2x + 4[/tex]
EXPLANATION
The graph of the function that will have a maximum and a y-intercept of 4 is
[tex]f(x) = - {x}^{2} + 2x + 4[/tex]
To check for the y-intercept, we put x=0 into the function.
[tex]f(0) = - {0}^{2} + 2(0)+ 4[/tex]
This implies that,
[tex]f(0) = 4[/tex]
We can see that the coefficient of the quadratic term is -1.
Since the coefficient of the quadratic term is less than zero, the graph will have a maximum point.
12) A bag contains 3 red marbles, 4 black
marbles, and 5 yellow marbles. What are the
chances of picking a marble that is not black?
Answers
[tex]|\Omega|=3+4+5=12\\|A|=3+5=8\\\\P(A)=\dfrac{8}{12}=\dfrac{2}{3}\approx66.7\%[/tex]
So the chance of picking a marble that is not black is minus it
3+5 = 8 marbles are not black
Take 8 divided to the whole number which is 12
8/12= 66%
Hope this helps!
Phoebe, Andy and Polly share £270
Phoebe gets three times as much as Andy who gets twice as much as Polly.
Work out how much they each get.
Answers
Answer:
Step-by-step explanation:
Givens
Let Phoebe = P
Let Andy = A
Let Polly = Po
Total = 270
Equations
P = 3*A
A = 2*Po
P + A + Po = 270
Solution
P + 2Po + Po = 270
P = 3*A But A = 2Po. Substitue 2Po for A
P = 3(2*Po) Combine the right
P = 6Po Substitute 6Po for P
6Po + 2Po + Po = 270 Combine the left
9*Po = 270 Divide by 9
9Po/9 = 270/9 Do the division
Po = 30
==========================
A = 2*Po = 2* 30 = 60
A = 60
==========================
P = 3*A
P = 3*60
P = 180
Answer
Phoebe gets 180
Andy gets 60
Polly gets 30
if the price of gas went from $3.45 a gallon to $4 a gallon what was the percent change in the price of the gas was there an increase or decrease
Answers
Answer:
there was an increase and it increased by 6.9%
solve the system...................
Answers
Answer:
first option
(8, -1)
Step-by-step explanation:
We have the following system of linear equations
[tex]\left \{{{x+6y=2} \atop {5x+4y=36}} \right.[/tex]
To solve the system multiply the first equation by -5 and then add it to the second equation.
[tex]-5*(x+6y)=2*(-5)[/tex]
[tex]-5x -30y=-10\\5x+4y=36[/tex]
-----------------
[tex]-26y = 26[/tex]
[tex]y = -1[/tex]
substitute [tex]y = -1[/tex] in any of the two equations and then solve for x
[tex]5x+4(-1)=36\\5x-4=36\\5x = 36+4\\5x = 40\\[/tex]
[tex]x =8[/tex]
The answer is the first option
(8, -1)
Mr.Sharma deposited a sum of Rs.6000 in the bank at the rate of 12.5 per year find the amount received by him at the end of four years six months
Answers
Answer:
[tex]12.5 \div 100 \times 6000 \times 0.5 = 375.00[/tex]
you have to convert six months to years by dividing six by 12 because it must be in years
Step-by-step explanation:
6÷12=0.5years
%/rate × money × years
12.5 ÷100 always divide by 100 because it is percentages over 100
12.5÷100 ×6000 ×0.5=Rs375.00
Answer:
Rs 375.00
Step-by-step explanation:
12.5 ÷ 100 × 6000 × 0.5 = 375.00
Which values complete the function?
Answers
Answer:
f(x)=-1(x+4)(x-3)
or f(x)=-(x+4)(x-3)
Step-by-step explanation:
We see zeros at x=-4 and x=3.
So the factors are (x+4) and (x-3).
So we have a function that looks like
f(x)=A(x+4)(x-3).
y=A(x+4)(x-3)
I see the point (1,10) is on the curve.
So that means
10=A(1+4)(1-3)
10=A(5)(-2)
10=A(-10)
A=-1
So the function is f(x)=-1(x+4)(x-3)
or f(x)=-(x+4)(x-3)
5. A deck should have a perimeter of 90 feet and a minimum area
of 450 square feet. Write and solve an inequality to find the
possible width of the deck.
Answers
Answer:
The minimum value of the width is 15 ft and the maximum value of the width is 30 ft
Step-by-step explanation:
Let
x -----> the length of the deck
y ----> the width of the deck
we know that
The perimeter of the deck is equal to
[tex]P=2(x+y)[/tex]
[tex]P=90\ ft[/tex]
so
[tex]90=2(x+y)[/tex]
[tex]45=(x+y)[/tex]
[tex]x=45-y[/tex] -----> equation A
The area is equal to
[tex]xy\geq 450[/tex] -----> inequality B
[tex](45-y)y\geq 450\\ \\-y^{2} +45y-450\geq 0[/tex]
Solve the quadratic equation by graphing
The possible width of the deck are the values of y in the interval
[15,30]
All real numbers greater than or equal to 15 ft and less than or equal to 30 ft
see the attached figure
The minimum value of the width is 15 ft and the maximum value of the width is 30 ft
Write an integer for the situation below: Greg has a debt of $55
Answers
Answer:
-55
Step-by-step explanation:
A debt is a negative value
-55
Answer:
[tex]-55[/tex].
Step-by-step explanation:
We are asked to write an integer for the given situation.
Situation: Greg has a debt of $55.
As Greg has a debt of $55, this means that Greg owes $55 to someone.
So the balance of Greg's account would be [tex]-55[/tex].
Therefore, our required integer would be [tex]-55[/tex].
John’s age is three times that of Alan’s. Ralph’s age is twice that of Alan’s. What is the ratio of John’s age to Ralph’s? 6:1 2:3 3:2 1:6
Answers
Answer:
3:2
Step-by-step explanation:
To answer questions like this I would makeup an age for Alan
Like say Alan is 10 years old
John is 3 times the age of 10 so he is 30
Ralph is twice the age of 10 so he is 20
so 30/20 can be simplified to 3/2
There are other ways to solve it but that is how I would solve it
I hope it helped you
Answer:
3:2 or 3/2
Step-by-step explanation:
Let Alan's age be x
So according to the assumed variable, John's age will be three times of Alan's age
John's Age = 3x
Similarly,
Twice of Alan's age = 2x
so, Ralph's age = 2x
Since we have to find the ratio of John's age to Ralph's age that will be equal to
3x : 2x
which can also be written as:
3:2 or 3/2 ..
What are the discontinuity and zero of the function f(x) = x^2 + 8x + 7 / x + 1
Answers
Answer:
- Discontinuity at (-1,6)
- The zero is at (-7,0)
Step-by-step explanation:
Given the function [tex]f(x)=\frac{x^2 + 8x + 7}{x+1}[/tex], you need to factor the numerator. Find two number whose sum be 8 and whose product be 7. These are 1 and 7, then:
[tex]f(x)=\frac{(x+1)(x+7)}{(x+1)}[/tex]
Then, the denominator is zero when [tex]x=-1[/tex]
Therefore, [tex]x=-1[/tex] does not belong to the Domain of the function. Then, (-1,6) is a discontinuity point.
Simplifying, you get:
[tex]f(x)=x+7[/tex]
You can observe that a linear function is obtained.
This function is equal to zero when [tex]x=-7[/tex], therefore the zero of the function is at (-7,0).
ANSWER
Discontinuity:
[tex]x = - 1[/tex]
Zero:
[tex]x = - 7[/tex]
EXPLANATION
The given rational function is
[tex]f(x) = \frac{ {x}^{2} + 8x + 7 }{x + 1} [/tex]
We factor function to obtain:
[tex]f(x) = \frac{(x + 1)(x + 7)}{x + 1} [/tex]
This function is not continuous when
[tex](x + 1) = 0[/tex]
The function is not continuous at
[tex]x = - 1[/tex]
When we simplify the function, we get;
[tex]f(x) = x + 7[/tex]
The zero(s) occur at
[tex]x + 7 = 0[/tex]
[tex]x = - 7[/tex]
30% of___=100. Need help
Answers
Answer:
0.3x = 100
x = 1000/3 = 333 and 1/3
a triangle has sides measuring 5 inches and 8 inches. if x represents the length in inches of the third side which inequalitty gives the range of possible values of x
Answers
Answer:
3 < third side < 13
Step-by-step explanation:
The third side must be greater than the difference of the two other sides
and less than the the sum of the two sides
8-5 < third side < 8+5
3 < third side < 13
What is the intercept of the line given by the equation below?
y=-10x + 14
O A. (14,0)
O B. (-10,0)
C. (0, 14)
D. (0, -10
Answers
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 10x + 14 ← is in slope- intercept form
with y- intercept c = 14 ⇒ (0, 14) → C
what should be added to -7/20 to get -2/5
Answers
Answer:
-1\20
Step-by-step explanation:
As percentages: ? + -35% = -40%; -5% = ?
As decimals: ? + -0.35 = -0.4; -0.05 = ?
**-⅖ = -8\20 [Least Common Denominator]
New York is the 27th largest state in the United States.what percent of the 50 states in the us are larger than New York
Answers
there are 50 states, NY is the 27th largest so before NY there are other 26 states that are larger than NY.
if we take 50 to be the 100%, what is 26 off of it in percentage?
[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 50&100\\ 26&x \end{array}\implies \cfrac{50}{26}=\cfrac{100}{x}\implies \cfrac{25}{13}=\cfrac{100}{x}\implies 25x=1300 \\\\\\ x=\cfrac{1300}{25}\implies x=52[/tex]
65% of what number is 78
Answers
To solve this you must use a proportion like so...
[tex]\frac{part}{whole} = \frac{part}{whole}[/tex]
65 is a percent and percents are always taken out of the 100. This means that one proportion will have 65 as the part and 100 as the whole
We want to know out of what number is 78 65%. This means 78 is the part and the unknown (let's make this x) is the whole
[tex]\frac{78}{x} =\frac{65}{100}[/tex]
Now you must cross multiply
78*100 = 65*x
7800 = 65x
To isolate x divide 65 to both sides
7800/65 = 65x/65
120 = x
This means that 65% of 120 is 78
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer: 120
It is because google said so
what number should be added to the expression x^2+3x+___ in order to create a perfect square trinomial?
3/2
3
9/4
9
Answers
Answer: THIRD OPTION.
Step-by-step explanation:
We need to remember that we can create a perfect square trinomial by squaring a binomial:
[tex](a\±b)^2=a^2\±2ab+b^2[/tex]
Then we need need to pick the coefficient of the x term of the given expression, divide it by 2 and square it:
[tex](\frac{3}{2})^2=\frac{9}{4}[/tex]
Therefore, the number that should be added to the given expression in order to create a perfect square trinomial is:
[tex]\frac{9}{4}[/tex]
If you are just building your payment history, how many points from a perfect score will you possibly miss?
Answers
A new borrower cannot achieve a perfect credit score, but the number of points missed is not specific and varies individually. Fair credit decisions are based on facts, not personal attributes. Late payment fees and interest on carried balances also affect your credit score.
Explanation:When you are building your payment history, it's essential to understand the impact of your actions on your credit score. A perfect credit score is typically seen as 850. As a new borrower, lacking a lengthy credit history, you may not have a perfect score, but the exact number of points you may miss cannot be precisely determined without considering individual credit activities. However, every lender has different criteria for evaluating credit scores, and it is fair practice that race, gender, religion, and other such attributes are not considered in credit scoring.
If you carry a credit card balance from month to month, you will incur interest charges, which can quickly accumulate and affect your credit utilization ratio, thereby potentially lowering your credit score. Promptly paying off credit card balances and keeping a low utilization rate are key strategies to maintain and improve your credit score.
Remember that late payments can result in additional charges, as in the case where a credit card company charges a $10 late fee and $5 daily until the payment is settled. Such penalties not only burden you financially but can also impact your credit score if late payments are reported to credit bureaus.
Final answer:
When starting to build your payment history, it's not possible to achieve a perfect credit score instantly due to the short credit history length and other factors. Payment history is the most significant component, affecting 35% of the FICO score. Keeping accounts in good standing and credit utilization under 30% are key steps to improving your score.
Explanation:
When you're building your payment history, establishing a perfect score immediately is not typically possible. A perfect FICO score is 850, and payment history is the most influential factor, accounting for 35% of your score. As a new credit user, your credit history length is shorter, which negatively affects your score. Unfortunately, it's not possible to quantify exactly how many points you'll miss from a perfect score as it varies depending on the individual credit report and the scoring model used.
It's important to keep your accounts in good standing to build a strong credit history over time. Also, being mindful of your Amounts Owed, which makes up 30% of the FICO score, can help improve your standing. Striving to utilize no more than 30% of your available credit is recommended. Over time, with good financial habits such as these, your credit score will naturally improve, moving closer to the ideal score of 700 or higher.
Other factors influencing your score include the length of your credit history (15%), new credit, and the mix of credit types you have. It's crucial to avoid opening too many new accounts at once, as this can lower your average account age and result in hard inquiries, both of which can reduce your score somewhat.
What is the answer to this question
Answers
[tex]2x+7x=747\\9x=747\\x=83\\\\2x=166\\7x=581[/tex]
Tom - [tex]\pounds166[/tex]
Ben - [tex]\pounds581[/tex]