100 pts and mark brainliest
Use the quadratic formula to solve
x^2-4x+3
Show your work. Then describe the solution. if you dont describe the solution it will get reported.

Answers

Answer 1

Answer:

x = 3, x = 1

The points at which the curve crosses the x-axis are (3, 0) and (1, 0)

Step-by-step explanation:

Quadratic formula:

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Quadratic equation: [tex]ax^2+bx+c[/tex]

Therefore, for   [tex]x^2-4x+3[/tex]:

a = 1   b = -4   c = 3

Inputting values into quadratic formula:

      [tex]x=\dfrac{4\pm\sqrt{(-4)^2-(4\times1\times3)} }{2\times1}[/tex]

[tex]\implies x=\dfrac{4\pm\sqrt{16-12} }{2}[/tex]

[tex]\implies x=\dfrac{4\pm\sqrt{4} }{2}[/tex]

[tex]\implies x=\dfrac{4\pm2 }{2}[/tex]

[tex]\implies x=2\pm1[/tex]

[tex]\implies x=3, x=1[/tex]

Therefore, the points at which the curve crosses the x-axis are (3, 0) and (1, 0)

Answer 2

[tex]\\ \tt\hookrightarrow x^2-4x+3=0[/tex]

a=1b=-4c=3

[tex]\\ \tt\hookrightarrow x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\\ \tt\hookrightarrow x=\dfrac{4\pm \sqrt{16-12}}{2}[/tex]

[tex]\\ \tt\hookrightarrow x=\dfrac{4\pm 2}{2}[/tex]

x=6/2 or 2/2x=3 or 1

Related Questions

f(x) = 3x^2 - 9x + 2
What's the axis of symmetry?
What's the coordinate of the vertex?

Answers

Answer:

1) Axis of symmetry = [tex]\frac{3}{2}[/tex]

2) Vertex form = [tex]y=3(x-\frac{3}{2} )^{2} -\frac{19}{4}[/tex]

Rewrite in vertex form and use this form to find the vertex (h,k).

[tex](\frac{3}{2} ,-\frac{19}{4} )[/tex] (coordinates of the vertex)

Step-by-step explanation:

Vocabulary:

Axis of symmetry

- A line that passes through a figure in such a way that the part of the figure on one side of the line is a mirror reflection of the part on the other side of the line.

Vertex

- The point on an angle where the two sides intersect.

Answer  

Thats the answer below!

Step-by-step explanation:

Is y = 3/7x -4 is it proportional or nonprotional

Answers

Answer:

Not proportional

Step-by-step explanation:

Not proportional because the line has to go through the origin

The y-intercept has to be 0, but here it is given as -4

The graph goes 4 units below the origin on the y-axis.

The correct equation would be y = 3/7x

-Chetan K

1. 4x + 5y
2. 2x + (20 - y)
3. X divide 3 + y
4. 4y divide 2 + (8x + 10)
5. Patty made $34 baby sitting on each of 3 weekends. If she spent $50 on gifts for her family, how much money does she have left?
6.Carlos solved 20-(2x6) + 8 divide 4 = 28. Is this the correct answer?

Answers

Solution :-

When x = 6 and y = 1.

1) 4x + 5y

→ 4*6 + 5*1

→ 24 +5 = 29

2) 2x (20-y)

→ 2*6 (20-1)

→ 12 *19 = 228

3) x ÷ 3 + y

→ 6 ÷ 3 + 1

→ 2 +1 = 3

4) 4y ÷ 2 + (8x + 10)

→ 4*1 ÷ 2 +(8*6+10)

→ 2 + (48+10)

→ 2 + 58

60

5 ) 5. Patty made $34 baby sitting on each of 3 weekends. If she spent $50 on gifts for her family, how much money does she have left?

Money made each weekend = $34

Money made in 3 weekend = $34*3 =$102

Money spent = $50

Therefore ,

→Money left = Money made in 3 weekends - Money spent

Money left = $102 - $50 = $52

6.Carlos solved 20-(2x6) + 8 divide 4 = 29. Is this the correct answer? ( In attachment it's written 29 and not 28 .)

Given equation is ,

→ 20 - (2 × 6) + 8 ÷ 4 = 29

Solve inside the brackets ,

→ 20 - 12 + 8 ÷ 4

Perform division ,

→ 20 -12 + 2

Perform addition ,

→ 22 - 12

Perform subtraction,

10

No , he is wrong the answer should have been 10 but he got 29 .

I hope this helps .

A survey of 400 randomly selected high school students determined that 925 play organized sports.
A. What is the probability that a randomly selected high school student plays organized​ sports?
B. Interpret this probability.

Answers

Answer:

It is 43%.

Step-by-step explanation:

I took the 400 and divided it by the 925. I got 0.43 and moved the decimal point over 2 spots and the answer is 43%.

Have a good day!

find the value of x. round to the nearest tenth.​

Answers

Answer:

33.9219 (Rounded: 33.9)

Step-by-step explanation:

To find Leg  B or x we will use cos(a) = b/c

Therefore we have a = 32degrees and c = 40

So

Cos(32) = b/40

0.848 = b/40

b = 0.848 * 40

b = 33.9219

A hardware store stocks 85 reels of garden hose, each
containing 30 m of hose. How many kilometres of
garden hose are stocked by the store?

Answers

It's given that, the hardware store stocks 85 reels of garden hose. Each of them measure to be of 30 m.

Total length of hoses = 85 × 30

= 2550 m

= 2.550 km

= 2.5 km (approx.)

2.5 km of garden hose are stocked by the store.

Help me with this I will give brainliest

Answers

Answer:

see explanation

Step-by-step explanation:

both linear equations will have the form

y = mx + c ( m is the slope and c the y- intercept )

Chef Mate

c(n) = mn + c

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 14) and (x₂, y₂ ) = (3, 18.5) ← 2 ordered pairs from the table

m = [tex]\frac{18.5-14}{3-2}[/tex] = [tex]\frac{4.5}{1}[/tex] = 4.5 , then

c(n) = 4.5n + c ( n represents ounces )

To find c substitute any ordered pair from the table into c(n)

using (4, 23 )

23 = 18 + c ⇒ c = 23 - 18 = 5

c(n) = 4.5n + 5 ← equation for Chef Mate

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

Similarly for Grocery Gourmet

g(n) = mn + c

using (2, 23 ) and (3, 27 ) to find m

m = [tex]\frac{27-23}{3-2}[/tex] = [tex]\frac{4}{1}[/tex] = 4 , then

g(n) = 4n + c

using (4, 31 ) to find c

31 = 16 + c ⇒ c = 31 - 16 = 15

g(n) = 4n + 15 ← equation for Grocery Gourmet

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

Equate the 2 equations to find when cost is the same

4.5n + 5 = 4n + 15 ( subtract 4n from both sides )

0.5n + 5 = 15 ( subtract 5 from both sides )

0.5n = 10 ( divide both sides by 0.5 )

n = 20

Then when n = 20

c(n) = 4.5(20) + 5 = 90 + 5 = 95

g(n) = 4(20) + 15 = 80 + 15 = 95

Both Chef Mate and Grocery Gourmet charge $95 for 20 ounces of extract

are -8h - 3.5 and -0.5(16h - 7) equalivalent expressions? ​

Answers

Answer: Yes because they both have the same total

Step-by-step explanation:

as a bag of 16 marbles. If 6 marbles are white, what is the probability of picking a w Out of ss the probability as a percentage: % o
r​

Answers

Answer:

6/16 and if you want the fraction simplified it would be 3/8. As a percentage 37.5%.

Step-by-step explanation:

PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST​

Answers

Answer:

answer d and e

Step-by-step explanation:

First, you need to figure out the radius of B.

As radius of A is 6 in, 20% of 6in would be 1.2in. So total radius of B = 6+1.2 = 7.2

Now you get the radius of B, calculate th area of B using the formula πr^2.

= π(7.2)^2 = 162.86 = area of B

Now, all answers except D and E is smaller than B. So, the answer would be D and E.

Answer:

  A, E

Step-by-step explanation:

The radius of Circle B is 20% greater than 6 inches, so is ...

  r = (6 in)(1 +20%) = 1.2×6 in = 7.2 in

The area of Circle B is ...

  A = πr²

  A = π(7.2 in)² ≈ 162.86 in²

The offered answer choices (and the area of Circle B) in order from least to greatest are ...

  [B]51.84, [C]113.04, [F]148.49, [D]162.78,

  (circle B)162.86,

  [A}189.31, [E]203.15

Choices A and E are greater than Circle B's area.

Find the missing length

Answers

Answer: 5

Step-by-step explanation:

V = lwh = 20 * 12 * ? = 1200

240 * ? = 1200

? = 5

what is the total cost of a $12.60 item when 7 1/2% (0.075) sales tax is added?

Answers

Answer:

12.60 x 0.075 = $0.945

Total cost:- 12.60 plus 0.945 = $13.55

Step-by-step explanation:

PLEASE HELP ME WITH THIS!! ILL GIVE BRAINLIEST.

Answers

Answer:

1. Correct

2. Correct

3. Correct

4. Correct

5. Incorrect

6. Correct

7. Incorrect

8. Incorrect

9. Correct

10. Correct

11. Incorrect

Step-by-step explanation:

HELPPPP
In the diagram to the​ right, GKNM~VRPT.
Find the value of x. Give the scale factor of the left polygon to the right polygon.

Answers

Answer: Sorry, I had a different problem than you so this answer isn't correct for the OP but hopefully it shows you how to solve.

x=27/5

The scale factor is 7:3

Step-by-step explanation:

4. Find the center and radius of the circle with equation x2 + y2-2x + 4y -
11 = 0

Answers

Answer:

(1 , -2) and r = 4

Step-by-step explanation:

x² + y² - 2x + 4y - 11 = 0

x² - 2x + 1 - 1 + y² + 4y + 4 - 4 - 11 = 0

(x - 1)² - 1 + (y + 2)² - 4 - 11 = 0

(x - 1)² + (y + 2)² = 16

We know equation of circle is of the form

(x - h)² + (y - k)² = r²

So, center is (1 , -2) and radius is 4

In Figure 1, the area of square A is 9 square units, the area of square B is 16 square units, and the area of square C is 25 square units.


In Figure 2, the area of square D is 36 square units and the area of square E is 64 square units.


What is the area of square F in Figure 2?

A.

110 square units

B.

100 square units

C.

90 square units

D.

80 square units

Answers

Answer:

b) 100 square units as 36 add 64 is 100

The lengths of the bases of a trapezoid are 5 feet and 8 feet. The trapezoid has an area of 104 square feet.

What is the height, h, of the trapezoid?


A = 13 ft

B = 16 ft

C = 20.8 ft

D = 21.4 ft

Answers

Answer:16feet

Step-by-step explanation:

The explanation is in the attached file

help i'll give brainlist

Answers

Answer:

y = -2

Step-by-step explanation:

The midline is the horizontal line that passes exactly in the middle between the graph's maximum and minimum points.

From inspection, curve has a maximum at y = 1 and a minimum at y = -5

The midline between these is [tex]y=\frac{1-5}{2}=-2[/tex]

So the equation for the midline of this graph is y = -2  (shown in red on the attached graph)

help me pls ヾ(•ω•`)o

Answers

Given;Area of Rectangle = 3⅓ units² = 10/3 units²Height of Rectangle = 1⅖ units = 7/5 unitsTo Find;Volume of Rectangular Prism

Now,

Volume = L × B × H

Volume = (L × B) × H

Volume = Area × H

Volume = 10/3 × 7/5 units

V = 70/15 = 14/3 or 4.7 cubic units

Thus, The answer is 14/3 or 4.7 cubic units

-TheUnknownScientist 72

A set of mathematics exam scores are normally distributed with a mean of 80.280.280, point, 2 points and a standard deviation of 444 points. What proportion of exam scores are between 828282 and 85.685.685, point, 6 points? You may round your answer to four decimal places.

Answers

Answer:

0.2379

lmk if im wrong :)

Approximately 0.2200 or 22.00% of the exam scores are between 82.2 and 85.6.

To find the proportion of exam scores between 82.2 and 85.6, we need to calculate the z-scores for both values and then use the standard normal distribution table (also known as the z-table) to find the proportion.

The z-score for a value x in a normal distribution with mean μ and standard deviation σ is given by the formula:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

Let's calculate the z-scores:

For x = 82.2:

z₁ = (82.2 - 80.2) / 4 = 2 / 4 = 0.5

For x = 85.6:

z₂ = (85.6 - 80.2) / 4 = 5.4 / 4 = 1.35

Now, we can find the proportion of scores between these z-scores using the z-table. The table gives us the cumulative probability up to a certain z-score.

From the z-table, the cumulative probability for z₁ = 0.5 is approximately 0.6915, and the cumulative probability for z₂ = 1.35 is approximately 0.9115.

Now, we can find the proportion of scores between these two z-scores:

Proportion = P(0.5 ≤ z ≤ 1.35)

= P(z ≤ 1.35) - P(z ≤ 0.5)

= 0.9115 - 0.6915

≈ 0.2200

So, approximately 0.2200 or 22.00% of the exam scores are between 82.2 and 85.6.

Learn more about z-scores click;

https://brainly.com/question/32011298

#SPJ3

The questions are 32? 238? 58? 122?

Answers

Answer:

58

Step-by-step explanation:

(360 - 122 -122)/2= 58

please brainliest

Answer:

58°

Step-by-step explanation:

well first we know that the total degrees all the way around are 360° so the total number must add up to 360°.

vertical angles are the angles across from each other when two lines intersect and we know that vertical angles are congruent (the same) so 122° equals d. Next we look at the angles e and c. It might seem difficult but we remember that vertical angles are congruent so e and c are equal. the sum the first angle(122°) and d(which we already found equals 122°) equals 122+122=244. we learned at the beginning that all the angles must be 360 so 360-244=116. 116 is the sum of e and c but we know e and c are equal so 116/2=58. e=58 and c=58 so there is our answer

d=122°

e=58°

c=58°

I hope this helps!

the numbers of motor vehicle fatalities in the united states for the years

Answers

For 2016 specifically, National Highway Traffic Safety Administration (NHTSA) data shows 37,461 people were killed in 34,436 motor vehicle crashes, an average of 102 per day. In 2010, there were an estimated 5,419,000 crashes, 30,296 deadly, killing 32,999, and injuring 2,239,000.

Help me please please please

Answers

Answer:

3.33lbs. repeating?

Step-by-step explanation:

I think it would just be 10/3 and be 3.33333333 and so on. (im just taking a guess)

please help. its on zearn name the coordinates of each shape

Answers

Answer:

circle: 2, 1/2

square: 1 1/2, 3 1/2

triangle: 0, 4 1/2

Answer:

Square X-coordinate: 1 and 1/2

Square Y-coordinate: 3 and 1/2

Triangle X-coordinate: 0

Triangle Y-coordinate: 4 and 1/2

Step-by-step explanation:

Help me please please please

Answers

Answer:

25.6

Step-by-step explanation:

Add 6.4 to all the sides and add them all together-

6.4+6.4+6.4+6.4 = 25.6


3) Write the following numbers from highest to lowest: 6288, -8, 2301, -282, 202

Answers

Answer:

6288 2301 202 -8 -282

im genius

Pleas I really really need help

Answers

Answer:

3.5 gallons of gas

Step-by-step explanation:

If m = miles

And the equation is m = 40g

Then: 140 = 40g

40g/40 = 140/40

g = 3.5 gallons of gas.

The car used "3.5" gallons of gas.

Find the equation of the line.
Through (-8,11); perpendicular to y=9

Answers

Perpendicular to y=9 Slope is 0

Perpendicular lines have slope negative reciprocal to each other .

-1/0=oo

Equation of line in point slope form

[tex]\\ \rm\Rrightarrow y-y_1=m(x-x_1)[/tex]

[tex]\\ \rm\Rrightarrow y-11=\infty(x+8)[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{y-11}{\infty}=x+8[/tex]

[tex]\\ \rm\Rrightarrow x+8=0[/tex]

[tex]\\ \rm\Rrightarrow x=-8[/tex]

Some formats of line

[tex]\boxed{\begin{array}{c|c}\boxed{\bf Form} &\boxed{\bf Equation} \\ \sf Slope\: intercept\:form &\sf y=mx+b \\ \sf Intercept\:form &\sf \dfrac{x}{a}+\dfrac{y}{b}=1\\ \sf Normal\:form &\sf xcos\omega+ysin\omega=p \\ \sf Two\: point\:form &\sf y-y_1=\left(\dfrac{y_2-y_1}{x_2-x_1}\right)(x-x_1)\\ \sf Point\:slope\:form &\sf y-y_1=m(x-x_1) \\ \sf Standard\:form &\sf Ax+By+C=0 \end{array}}[/tex]

A = 12 and b = 24 ,what Is the area of the pencil

Answers

Their is not a lot of information but I think it is 12*24=288

Based on this sample, how many defective beach balls might the manufacturer expect in the next shipment?

Answers

Answer:

2000 - 150 + 20=

1,870

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