Find the solution to the equation:
f(x)=x^2-4x+3
Please show work!

Answers

Answer 1

Answer:

two solutions

x = 1, 3

Explanation:

[tex]\sf f(x)=x^2-4x+3[/tex]

[tex]\rightarrow \sf x^2-4x+3=0[/tex]

[tex]\rightarrow \sf x^2-3x-x+3=0[/tex]

[tex]\rightarrow \sf x(x-3)-1(x-3)=0[/tex]

[tex]\rightarrow \sf (x-1)(x-3)=0[/tex]

[tex]\rightarrow \sf x-1=0, \ x-3=0[/tex]

[tex]\rightarrow \sf x=1, \ x=3[/tex]

Thus, there are two solutions and the values are 1 and 3

Answer 2

Let's see

[tex]\\ \rm\rightarrowtail f(x)=0[/tex]

[tex]\\ \rm\rightarrowtail x^2-4x+3=0[/tex]

[tex]\\ \rm\rightarrowtail x^2-3x-x+3=0[/tex]

[tex]\\ \rm\rightarrowtail x(x-3)-1(x-3)=0[/tex]

[tex]\\ \rm\rightarrowtail (x-1)(x-3)=0[/tex]

[tex]\\ \rm\rightarrowtail x=1,3[/tex]


Related Questions

is 56/72 and 7/9 proportional

Answers

Answer:

Yes. They are proportional.

Step-by-step explanation:

[tex]\frac{56}{72} =\frac{7}{9}[/tex]

[tex]0.777=0.777[/tex]

The left side 0.777 is equal to the right side 0.777, which means that the given statement is always true.

True

15x + 50y = _____ (3x + 10y)

Answers

Answer:

15x + 50y = 5 (3x + 10y)

5 is a common factor

15/3x = 3x

50/5y = 10y

the answer is 5

[tex] \huge \mathbb \orange{HEY \: THERE}[/tex]

[tex] \mathfrak \red{AnSwEr~}[/tex]

5 is the common factor.

[tex] \mathfrak \red{Explaination}[/tex]

[tex] \mathsf \pink{15x + 50y = 5(3x + 10y)}[/tex]

[tex] \mathsf \pink{5 \: is \: multiplied \: with \: both \: 3x \: and \: 10y}[/tex]

[tex] \huge \mathbb \orange{HOPE \: IT \: HELPS}[/tex]

Hi! Please help. (Geometry Btw)

Answers

Answer:

It is C

Step-by-step explanation:

Reflection in X axis

Reflecting over the x axis, the x values remain the same and the y values become opposite.


answer: c. (X,y) becomes (x,-y)

bro no one is helping??

Answers

Answer:

A-6 , B-19 , C-55 , D-119 , E-70

Step-by-step explanation:

Subtract 68 from 138 to find out how many 8th graders in total, and that will get you blank E.

Subtract 64 from 70 (E) to find out blank A.

Add 6 and 13 get the total for TV, blank B.

To get blank C, you need to subtract 13 from 68.

For the last blank, blank D, you need to add 55 (blank C) and 64, which will give you 119.

4x + y = 10
7x + 2y = 17

Answers

Answer:

x = 3, y = - 2

Step-by-step explanation:

By substitution method,

4x + y = 10 -------> equation 1.

7x + 2y = 17 -------> equation 2.

From equation 1,

y = 10 - 4x ------> equation 3.

Substitute equation 3 in 2,

7x + 2 ( 10 - 4x ) = 17

7x + 20 - 8x = 17

7x - 8x = 17 - 20

- x = - 3

x = 3

Substitute x = 3 in equation 1,

4 ( 3 ) + y = 10

12 + y = 10

y = 10 - 12

y = - 2

Hence,

x = 3

y = - 2

✿————✦————✿————✦————✿

:

=

=−

✿————✦————✿————✦————✿

:

* , . .

* ℂ - .

* .

* .

* / − +.

* − / + / , +=.

* - / + /

* /

* /

*

* − = -/ + /. , .

* -/ -

* / / . .

✿————✦————✿————✦————✿

pa brainliest kung ayaw, edi wag** char

What is the following product?
30. 10
2.110
3.10
4./10
10/5

Answers

Step-by-step explanation:

300220302/5=0.42

Hope it helps you

Find the area of the trapezoid

Answers

Check the picture below.

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=2\\ a=3\\ b=9 \end{cases}\implies A=\cfrac{2(3+9)}{2}\implies A=12[/tex]

What is the value of the y-intercept of the graph f(x)=138⋅1.9x?

Answers

Answer:

Step-by-step explanation:

The y-intercept is the point where the graph cuts the y axis - that is when x = 0.

f(x)=138⋅1.9x

ehen x = 0 f(x) = 0 so the y-intercept is at (0, 0).

9 markers cost $7. 50. How much would 7 markers cost

Answers

Answer:

5.83

Step-by-step explanation:

9 / 7.50 = 0.833(repeating)

8.33(repeating) * 7 = 5.833(repeating)

Simplify 5.833(repeating)

Answer:

5.83

Step-by-step explanation:

7. (a) A line has the equation y = 6x – 3 and goes through the point (4, a).
Calculate the value of a.

Answers

[tex]a = 6(4) - 3 = 24 - 3 = 21[/tex]

Given the equation 47=38+n, tell which value is a solution from the solution set n={7, 9, 11, 13}

Answers

hello!

First, let's solve this equation by subtract 38 from both sides:-

[tex]\bigstar[/tex] 47-38=n

hence, the answer is:-

9=n

or

[tex]\bigstar{\underline{\boxed{\pmb{n=9}}}[/tex]

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Which is the pattern for factoring the sum of cubes

Answers

Answer:

  a³ +b³ = (a +b)(a² -ab +b²)

Step-by-step explanation:

The patterns for factoring the sum and difference of cubes are similar. The sign of the second term in each factor is reversed from one pattern to the other.

  a³ -b³ = (a -b)(a² +ab +b²)

  a³ +b³ = (a +b)(a² -ab +b²) . . . . . pattern for factoring sum of cubes

Solve for e:2e-13+8=135

Answers

Answer:

e = 70

Step-by-step explanation:

2e - 13 + 8 = 135

2e - 5 = 135

2e = 135 + 5

2e = 140

divide both sides by 2

e = 70

Please help me with complement or supplement of an angles.

Answers

Answer: 101 degrees

Step-by-step explanation:

Nine wolves, eight female and one male, are to be released into the wild three at a time. If the male wolf is to be in the first released group and order does not matter, in how many ways can the first group of three wolves be formed? 28 ways 36 ways 56 ways 84 ways.

Answers

The first group of three wolves can be formed in 28 ways.

We have been given that Nine wolves, eight female and one male, are to be released into the wild three at a time.

What is the meaning of combination?

A combination is a combination of n things taken k at a time without repetition.

We need to choose 1 male wolf out of 1 wolf male. So  we can choose one wolf as

[tex]c(1,1)=\frac{1!}{1!(1-1)!} =\frac{1!}{1!}=1!=1[/tex]

We can choose 1 male wolf in only 1 way.

Since the female wolfs are identical that means order doesn't matter, so we will use combinations.

We can choose 2 female wolves out of 8 as

[tex]C(8,2)=\frac{8!}{2!(8-2)!} =\frac{8\times 7 \times 6!}{2\times 1\times 6!} =\frac{8\times 7}{2} =28[/tex]

Therefore, we can choose 2 female wolves out of 8 female wolves in 28 ways.

We have to find number of ways in which the first group of three wolves can be formed we will multiply the ways of choosing 1 male wolf and 2 female wolves.

Number of ways farming first group of three wolves

1(28)=28

Therefore, the first group of three wolves can be formed in 28 ways

To learn more about the combination visit:

https://brainly.com/question/25821700

A scale says that it's readings are accurate to within 1%, meaning that when an object
is weighed using that scale, the reading will have an error of at most 1%.
Gillian puts a math textbook on a scale, and the scale reads 1,999.8 grams. What is
the difference between the maximum and minimum possible values for the textbook's
actual weight?

Answers

Answer:

Step-by-step explanation:

well, 1% of 1999.8=19.998, so it would be + - 1,999.99

2. Write a recursive formula for the sequence 5, 18, 31, 44, 57, ... Then find the next term.

Answers

Answer: a6=70

Step-by-step explanation:

we know that

In the Arithmetic Sequence the formula is:

an= a1 + d(n−1)

where

a1 is the first term

d is the common difference

n is the number of terms

in this problem

a1=5

a2=18

a3=31

a4=44

a5=57

so

d=a2-a1 or a3-a2 or a4-a3 or a5-a4

d=57-44----> 13

find a6

a6= a1 + d(n−1)

n=6

d=13

a1=5

a6=5+13*(6-1)----> a6=5+13*5----> a6=70

Answer:

A1=5;an=an-1+13. The next term is 70

Pls help!!

Question:

The polynomial f (x) = ax2 + bx + c has zeros 4 and 5, and f (−1) = 60. Evaluate a, b and c.

Answers

Answer:

a = 2, b = -18, c = 40

Step-by-step explanation:

[tex]Given:\ Polynomial\ f(x)=ax^2+bx+c\ has\ zoroes\ 4\ aud\ 5[/tex]

[tex]and\ f(-1)=60[/tex]

[tex]Tofind:\ a,\ b,\ c[/tex]

[tex]Solution:\ As\ 4\ and\ 5\ are\ zeroes\ so\ f(4)=f(5)=0[/tex]

[tex]f(4)=a(4)^2+b(4)+c=0\Rightarrow16a+4b+c=0-(1)[/tex]

[tex]f(5)=a(5)^2+b(5)+c=0\Rightarrow25a+5b+c=0[/tex]

[tex]f(-1)=a(-1)^2+b(-1)+c=60\Rightarrowa-b+c=60-(3)[/tex]

[tex]subtracting\ (1)\ from\ (2)[/tex]

[tex]25a+5b+c-(16a+4b+c)=0\Rightarrow9a+b=0\Rightarrowb=-9a[/tex]

[tex]subtracting\ (3)\ from(2):[/tex]

[tex]25a+5b+c-(a-b+c)=0-60\Rightarrow24a+6b=-60[/tex]

[tex]putting\ b=-9a[/tex]

[tex]24a+6(-9a)=-60\Rightarrow24a-54a=-60\Rightarrow-30a=-60[/tex]

[tex]a=\frac{-60}{-30}=2[/tex] [tex]\Rightarrow[/tex] [tex]a=2[/tex]

[tex]b=-9a=-9\times2=-18[/tex]

[tex]c=-a+b\neq60=-2-18+60=-20+60=40[/tex]

I hope this helps you

:)



ILL GIVE BRAINIEST

I’ll give brainiest A marble has a radius of 2 cm. About how many marbles will it take to fill a cylindrical jar with a diameter of 16 cm and a height of 20 cm? (Volume of a sphere =
4
3
r
3
π
4
3
r
3
π
)

A.
40 marbles

B.
80 marbles

C.
120 marbles

D.
240 marbles

Answers

Answer:

120 marbles

Step-by-step explanation:

we can find the answer by dividing the volume of the cylinder by the volume of the marble.

V of a cylinder is

pi×r^2×h = 1280pi

V of marble is

4/3 × pi × r^3

V is 32/3 pi

so final answer is 1280pi ÷ (32/3 × pi)

ANSWER IS 120 MARBLES

If QR=x+29 and PS=x–16, what is the value of x?

Answers

Answer:

  61

Step-by-step explanation:

PS is a midsegment of the triangle, so is half the length of the parallel base segment.

  2PS = QR

  2(x -16) = x +29 . . . . . substitute given expressions

  2x -32 = x +29 . . . . . eliminate parentheses

  x = 61 . . . . . . . . . . . . add 32-x

heheheheheheehehehehehehhee

Answers

Answer:

4 blocks

Step-by-step explanation:

Given f(x)=x^3+9x+k, and x-1 is a factor of f(x), then what is the value of k?

Answers

Answer:

r:
The function is

The remainder when f(x) is divided by x−2 is 23.

To find:The value of k.

Solution:

According to the remainder theorem, if a polynomial P(x) is divided by (x-c), then the remainder is P(c).

It is given that, the remainder when f(x) is divided by x−2 is 23. By using remainder theorem, we get

Put x=2, to find the value of f(2).Therefore, the value of k is 8.

Step-by-step explanation:

Please help me with this math problem!! Will give brainliest!! NO links please!! Thanks! :) (Please draw a picture)

Answers

Answer:

0.64

Step-by-step explanation:

Given the sides of a triangle, we can solve for any angle using the Law of Cosines: [tex]a^2=b^2+c^2-2bc(cosA)[/tex]

Our variables:

a = 27

b = 36

c = 45

B = 90°

[tex]a^2=b^2+c^2-2bc(cosA)[/tex]

[tex](27)^2=(36)^2+(45)^2-2(36)(45)(cosA)[/tex]

[tex]720=1296+2025-3240(cosA)[/tex]

[tex]720-3321=-3240(cosA)[/tex]

[tex]-2601=-3240(cosA)[/tex]

[tex]\frac{2601}{3240} =cosA[/tex] ≈ [tex]0.80278[/tex]

[tex]cos^-(A)=cos^-(\frac{2601}{3240})[/tex]

[tex]< A = 0.63885708[/tex]

This might be wrong, but you get the method. I would repost for a better answer from someone else because I'm practically half asleep. Very sorry but I hope you get some help soon! Best of luck

10. Jacinto Corado rented a minivan for 4 days in Tampa, Florida, for
$88.00 a day plus $0.20 a mile for all miles over 200. He drove 75, 120,
85, and 140 miles on the days rented. He paid a CDW fee of $18.50 per
day and $61.83 for gasoline.

Answers

Answer:

$531.83

Step-by-step explanation:

88*4=352

75+120+85+140=420. Take away the 200 he was allowed. Leaves 220

220*.20 =44

18.50*4=74

gas is set at 61.83

Sum each of those.

352+44+74+61.83= $531.83

What is the measure of < L

Answers

Answer:

C.

Step-by-step explanation:

Because of the K And j = K and L.Those are equal of the length.

And also, I believed the angel of K is 130 degrees ...

I hope it can help you a lots...Thanks.

Answer:

C

Step-by-step explanation:

typical property of isoceles triangle

properties:

1.- Base angles are equal

2. has two sides equal

☆the two above are key to identifying an isoceles triangle

the one above satisfies no.2

brainliest please

You woke up at 9:00 am 5 hours later still doing school work then you took a nap for 2 hours what time was it is when you woke up

Answers

4pm. Explanation: 9+15=14. In military time, 14:00 is equivalent to 2pm. Then the nap lasted two hours. 2 hours after 2pm is 4pm. You could also think of it this way: 9+7 (the 5 hours of work + 2 hour nap) =16, and 16:00 is equivalent to 4pm.

how do i use a model to tell whether the fractions are equivalent? numbers: 1/2 and 5/10 grade 4

Answers

Answer:

ok so 5/10ths is also 3/6ths or 2/4ths or 1/2

Step-by-step explanation:

What is the displacement current between the plates if the separation of the plates is r and they have an area of a?

Answers

A displacement current simply means the limited shift of electric components which occur when the voltage is applied to the capacitor.

What is displacement current?

Your information is incomplete. Therefore, an overview of the displacement current will be given.

A displacement current simply defines the terms of the rate of change of the electric displacement field.

It's the current due to the changing of the electric field that is inside the plate of the capacitor.

Learn more about displacement on:

https://brainly.com/question/321442

32 The area of a parallelogram is (32 + sqrt(2)) square feetIf the length of the base is (4 + sqrt(2)) feet, find the height of the parallelogram in simplest radical form

Answers

The height of the parallelogram that has an area of (32 + √2) ft² and base of (4+√2) ft is 9(7 + 2√2) / 7 ft

How to calculate area of a parallelogram?

area of parallelogram = bh

where

b = baseh = height

Therefore,

area = (32 + √2) ft²

base = (4+√2) ft

Therefore,

area of a parallelogram = bh

(32 + √2) = (4+√2)h

divide both sides by (4+√2)

h = (32 + √2)  / (4+√2)

h =  (32 + √2)  / (4+√2) × (4-√2) / (4-√2)

h =  (32 + √2) (4-√2) / 16 - 4√2 + 4√2 - 2

h = 128 + 32√2 + 4√2 - 2 / 14

h = 126 + 36√2 / 14 ft

h = 18(7 + 2√2) / 14 ft

h = 9(7 + 2√2)  / 7 ft

learn more on parallelogram here: https://brainly.com/question/8377736

The picture shows 3/8 of Puja's penny collection.
*nine pennies*
A. What fraction of her collection is 6 pennies?
B. What fraction of her collection is 21 pennies?

Answers

The fraction of her collection that is 21pennies is 56

Ratio and proportions

Given the fraction for Puja's collection expressed as 3/8

Leet x be the  fraction of her collection which is 6 pennies, to have;

x of 3/8 = 6

3x/8 = 6

3x = 48

x = 16

Hence the fraction of her collection that is 6pennies is 16

Let y be the  fraction of her collection which is 21 pennies, to have;

x of 3/8 = 21

3x/8 = 21

x = 56

Hence the fraction of her collection that is 21pennies is 56

Learn more on ratio and proportions here: https://brainly.com/question/19994681

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