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

Quick!!! Solve for the missing lengths using trigonometric ratios.
*
110m
42°
Х

Answers

Answer:

see explanation

Step-by-step explanation:

using the tangent ratio in the right triangle to find x

tan42° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{10}{x}[/tex] ( multiply both sides by x )

x × tan42° = 10 ( divide both sides by tan42° )

x = [tex]\frac{10}{tan42}[/tex] ≈ 11.1 ( to 1 dec. place )

-------------------------------------------------

using the sine ratio to find the hypotenuse h

sin42° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{10}{h}[/tex] ( multiply both sides by h )

h × sin42° = 10 ( divide both sides by sin42° )

h = [tex]\frac{10}{sin42}[/tex] ≈ 14.9 ( to 1 dec. place )

Benjamin wants to purchase a new bike, but he does not have enough money in his bank account to pay for one.

Which of these is not an option for Benjamin?


He can save money and write a check once there is enough money in his account.

He can use his debit card to purchase the bike now.

He can save money and pay cash once he has enough.

He can use his credit card to purchase the bike now.

Answers

He can use his debit card to purchase the bike now. (Not an option)

A composite figure is comprised of a semicircle, trapezoid, and 2 rectangles. How can you decompose the composite figure to determine its area? as a circle, three rectangles, and a triangle as a circle, a trapezoid, and four triangles as a semicircle, three rectangles, and a square as a semicircle, a trapezoid, and two rectangles.

Answers

The way we can decompose the composite figure to determine its area is given by: Option D: as a semicircle, a trapezoid, and two rectangles.

How to calculate the surface area of a composite figure?

Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]

That ∑ sign shows "sum"

Since the considered composite figure consists of a semicircle, trapezoid, and 2 rectangles, so we can find its area by their use.

Thus, the way we can decompose the composite figure to determine its area is given by: Option D: as a semicircle, a trapezoid, and two rectangles.

Learn more about area of a composite figure here:
https://brainly.com/question/10254615

Answer:

d

Step-by-step explanation:

i just finished the test

Cody wanted to give each of his forty-five friends an equal amount of candy. At the store he bought six hundred eighty pieces total to give to them. How many more pieces should he have bought so he didn't have any extra pieces?​ I will branliest to who ever answers first!

Answers

Answer:

He should have got 40

Step-by-step explanation:

680 / 45 = 15.11

45 x 16 = 40

3 3/5 + 1 1/6 answer as a fraction

Answers

[tex]3 \frac{3}{5} + 1 \frac{1}{6} = \\ [/tex]

[tex] \frac{(3 \times 5) + 3}{5} + \frac{(1 \times 6) + 1}{6} = \\ [/tex]

[tex] \frac{15 + 3}{5} + \frac{6 + 1}{6} = \\ [/tex]

[tex] \frac{18}{5} + \frac{7}{6} = \\ [/tex]

[tex] \frac{18 \times 6}{5 \times 6} + \frac{7 \times 5}{6 \times 5} = \\ [/tex]

[tex] \frac{108}{30} + \frac{35}{30} = \\ [/tex]

[tex] \frac{108 + 35}{ 30} = \\ [/tex]

[tex] \frac{143}{30} \\ [/tex]

Find the equation of the line shown.

Answers

Answer:

(0,6) to (4,10) it might be the answer..........

The equation of the line passing through the points (0, 6) and (4, 10) is y = x + 6.

Here, we have,

To find the equation of the line passing through the points (0, 6) and (4, 10), we can use the slope-intercept form of a linear equation, which is given by:

y = mx + b,

where m is the slope of the line, and b is the y-intercept.

First, let's calculate the slope (m) using the formula:

m = (y₂ - y₁) / (x₂ - x₁),

where (x₁, y₁) = (0, 6) and (x₂, y₂) = (4, 10).

m = (10 - 6) / (4 - 0) = 4 / 4 = 1.

Now that we have the slope (m = 1), we can substitute it into the slope-intercept form along with one of the given points to find the y-intercept (b).

Using the point (0, 6), we have:

6 = 1(0) + b,

b = 6.

Therefore, the y-intercept (b) is 6.

Now we can write the equation of the line using the slope-intercept form:

y = mx + b,

y = 1x + 6,

y = x + 6.

Hence, the equation of the line passing through the points (0, 6) and (4, 10) is y = x + 6.

To learn more on equation click:

https://brainly.com/question/14468218

#SPJ4

Trey decides to raise the price of his tomatoes from $5 a basket to $6 a basket. What is the percent of the increase?

Answers

Answer:

(6-5)/5=20% increase

Step-by-step explanation:

how do you make x the subject on this ​

Answers

4x= a(x+b)
a(x+b)
X= ————-
4

The swimming pool shown below has a 6 foot wide concrete deck around it.

What is the area, in square feet, of the deck around the pool?
O512
O720
O864
O1232

Answers

Area of the rectangle inside:-

32(16)=512ft^2

Area of the rectangle outside

28(44)=1232ft^2

Area of the deck:-

Area of rectangle outside-inside1232-512720ft^2

Answer:

pretty sure it's D for this question

which is closer to -3/5 … 2/5, -0.2, -4/5, 0.6

Answers

-3 : 5 = - 0,6

so it will be - 4/5  (= - 0,8)

How many nickels to make 20

Answers

Answer:

if you're talking 20 cents, then 4, if you're talking dollars, then 400.

tell me pls if you want an explanation.

Answer:

400 nickels

Step-by-step explanation:

How many nickels to make $20?

1 nickel = 5 cents ($0.05)

? nickels = $20

How many nickels make $1?

0.05x = 1

/0.05  /0.05

x = 20 <== 20 nickels make $1

How many nickels make $20?

20x = $20

20(20) = $20

400 = $20

This means that 400 nickels make $20

Hope this helps!

4. Find the volume of the cone. ​

Answers

Answer:

A.

Step-by-step explanation:

πr^2 h/3

Hope this helps!

How many 1 1/2 are in 6 hexagons

Answers

Answer:3

Step-by-step explanation:I’m the best

When moving. it can often be a questionable matter to decide among moving luck companies. u haut currently charges $19.95 per day for a 10' moving truck and $0.59 per mie. imagine that another company you- haul, moves into the market anchoffes the same 10 truck for $70 per day. assume a one-day rental takes place. using systems of linear equations, anden what mileage conditions would it make make sense to choose one company over the other? o a mileage = 50.05 o b. mileage = 50 oc. mileage = 84.83 ос o d. mileage = 70 o e. mileage = 84.03 = .​

Answers

Answer:

Try to multiple 0.59x to $70, divide $19,95 to whatever answer u got from 0.59 to $70 then add 84.83334 and then there's your answer

Step-by-step explanation:

Done this and got right

(-3, -2) (2, 1) Find the slope

Answers

Answer:

for just the slope its 3/5 or in decimal its .6

Step-by-step explanation:

y's on top x's on bottom

1--2

1+2=3

2--3

2+3=5

so slope is 3/5 or .6

Y2-Y1/x2-x1
Answer 3/5

Molly bought a large basket of 60 apples.
When she got home, she found 6 rotten
ones. If she goes back and buys 200 more
apples, how many rotten apples would she
expect there to be?

Answers

Answer:

approximately 14

Step-by-step explanation:

first find out how many sets of 60 there are

200/60=3.3

3.3 sets of 4 apples

but you can't have 2/3 of a rotten apple

so 3.5 sets of 4 rotten apples

4x3.5=14

PLS HELP ILL GIVE EXTRA POINTS NEED ASAP

Answers

The answer is 6 , due to the fact the 9-3 =6

Answer:

5

Step-by-step explanation:

Median from 24 to 28

24 + 28 / 252 / 226

Median from 28 to 34

28 + 34 / 262 /231

Interquartile range

M2 - M131 - 265

Find the perimeter.
Write your answer as a fraction or as a whole or mixed number.
3 am
1
18
N
zam
No
m
N
3
3
18
m
meters

Answers

Answer:

Hope this helps you

Step-by-step explanation:

Thank

400/3*6 I don't know I don't have a calculator

Answers

Answer:

22 [tex]\frac{2}{9}[/tex]

Step-by-step explanation:

400/3*6

400/18 = 22 [tex]\frac{2}{9\\}[/tex]

or 22.222 to the nearest thousandths.

A department store receives a shipment of 3 boxes of glass ornaments. There are 25 ornaments in each box. Lucas opens the boxes and finds that 6 of the ornaments are broken. Based on this shipment, what prediction can Lucas make about the next shipment of ornaments?
F A delivery of 4 boxes will contain 4 more broken ornaments than a delivery of 3 boxes.
G A delivery of 5 boxes will contain 6 more broken ornaments than a delivery of 3 boxes.
H A delivery of 6 boxes will contain 6 more broken ornaments than a delivery of 3 boxes.
J A delivery of 7 boxes will contain 10 more broken ornaments than a delivery of 3 boxes.​

Answers

Answer:

the next shipment of ornaments are 16

just trying some stuff coz i dont use this ttoo much

Answers

Step-by-step explanation:

ohhhhhhhhhhhhhhhh.......

Complete a Proportion Web for the following situation

A candy-wrapping robot can wrap 434 pieces of candy in 5 minutes. How many pieces of candy can it wrap in and number of minutes ​

Answers

Answer:

It can produce about 86 candy.

Step-by-step explanation:

434 divided by 5 = 86 with a remainder of 0.8

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

less than

Step-by-step explanation:

Answer:

B) less than

Step-by-step explanation:

We can start by looking at the number infront of the fractions. We know that 2 is less than 3 which also means that 2 and 7/8 is less than 3 and 1/4.

I hope this helps!!

Please mark brainliest!

Find the numerator ?/2 > 1/5

Answers

5/10. i hope that this helps!!

50 POINTS FOR CORRECT ANSWER!

Answers

Answer:

[tex]y\geq 2x+3[/tex]

Step-by-step explanation:

the gradient of a line is found by using the formula [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]

so we get [tex]\frac{5-3}{1-0}=\frac{2}{1} =2[/tex]

the y-intercept is where the line crosses the y-axis which is simply 3

so the equation of this line is [tex]y=2x+3[/tex] in the form [tex]y=mx+c[/tex]

but the question is asking for an inequality, specifically above the line so we get [tex]y\geq 2x+3[/tex]

(0,3)(-3,-3)

Slope:-

[tex]\\ \tt\Rrightarrow m=\dfrac{-3-3}{-3}=2[/tex]

Equation of line in point slope form

[tex]\\ \tt\Rrightarrow y-3=2x[/tex]

[tex]\\ \tt\Rrightarrow y=2x+3[/tex]

Put (0,0)

2(0)+3=3>0

Hence the inequality is

[tex]\\ \tt\Rrightarrow y\geqslant 2x+3[/tex]

Round.............100pts

Answers

Answer: ≈ 4.

Step-by-step explanation: In order to solve this, you need to turn this into an addition problem.  In order to do that, we need to transform the 3 into a fraction:

3/1 + 175/349.

Solve:

3/1 + 175/349 = 3.50143266 or ≈ 4.

Have a great day! :)

Answer:

4

Step-by-step explanation:

Convert the mixed fraction into decimal form using a calculator

[tex]\rightarrow 3\dfrac{175}{349} = 3.501 \ \ \ \ \ \text{(Upto three dp)}[/tex]

Since the number in decimal form is about 0.002 more than 3.49, the number will round up to 4 (Nearest whole number).

How much interest is earned on a $5,000 loan at 10% interest for 3 years?

A $125
B $1,500
C $150,000
D $15,000

Answers

Answer: $1500

Step-by-step explanation:

Did the quiz on this hope you have a great day.

A square has a side that measures 5. 5 units. What is the area of a circle with a circumference that equals the perimeter of the square? Use 3. 14 for π, and round your answer to the nearest hundredth. 38. 47 units2 94. 99 units2 153. 86 units2 379. 94 units2.

Answers

The area of the circle whose circumference is equal to the perimeter of the square is 38.47 squared units.

What is circumference and area of the circle?

Circumference of the circle is the length of its boundary. It can given as,

[tex]P=2\pi r[/tex]

The area of the circle is the space occupied by it. It can be given as,

[tex]A=\pi r^2[/tex]

Here (r) is the radius of the circle.

A square has a side that measures 5. 5 units. The perimeter of the square is the equal to the 4 times of its side. Thus its perimeter is,

[tex]P=4\times5.5\\P=22\rm\; units[/tex]

The circumference of the circle is equal to the perimeter of the square. Thus the radius (r) of circle is,

[tex]P=2\pi r\\22=2\times\pi r\\r\approx3.5\rm\; units[/tex]

The area of this circle is,

[tex]A=\pi r^2\\A=3.14\times (3.5)^2\\A=38.465\\A\approx 38.47\rm\; units^2[/tex]

Hence the area of the circle whose circumference is equal to the perimeter of the square is 38.47 squared units.

Learn more about the circumference and area of the circle here;

https://brainly.com/question/402655

Name the image of C(6, –4) under a rotation 90 counter-clockwise about the origin.

a. C(–4, –6)
b. C(6, 4)
c. C(–6, –4)
d. C(4, 6)

Answers

The answer is B because it’s at a positive and negative and when u go up it’s gonna be at a positive positive

Question 2 of 10
What is the area, measured in square centimeters, of the green shape
pictured below? Do not include units in your answer.
1 cm
Icm

Answers

Answer:

15

Step-by-step explanation:

Count the units in the green shape or 3 x 5 = 15

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