Solve the equation by using quadratic formula . Show your work! Answer maybe in radical or decimal form .

2x^2 + 4x – 5 = 0

Answers

Answer 1

Answer:

[tex]x_1=\frac{-2+\sqrt{14}}{2}\approx 0.871,x_2=\frac{-2-\sqrt{14}}{2}\approx-2.871[/tex]

Step-by-step explanation:

[tex]2x^2+4x-5=0[/tex]

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

[tex]x=\frac{-4\pm\sqrt{4^2-4(2)(-5)}}{2(2)}[/tex]

[tex]x=\frac{-4\pm\sqrt{16+40}}{4}[/tex]

[tex]x=\frac{-4\pm\sqrt{56}}{4}[/tex]

[tex]x=\frac{-4\pm2\sqrt{14}}{4}[/tex]

[tex]x=\frac{-2\pm\sqrt{14}}{2}[/tex]

[tex]x_1=\frac{-2+\sqrt{14}}{2}\approx 0.871,x_2=\frac{-2-\sqrt{14}}{2}\approx-2.871[/tex]


Related Questions


HELPPP
I NEED TO CHECK OFF ALL THE FUNCTIONS PLEASE HELP ME

Answers

Answer:

I'm not sure but I think it's everything outside of circular, graphic and reflective. I'm only unsure with the last one but since it's 4 point I would assume it's 4 answers.

Find the residual values, and use the graphing calculator tool to make a residual plot. A 4-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries negative 2. 7, negative 0. 9, 1. 1, 3. 2, 5. 4. The third column is labeled predicted with entries negative 2. 84, negative 0. 81, 1. 22, 3. 25, 5. 28. The fourth column is labeled residual value with all entries blank. Does the residual plot show that the line of best fit is appropriate for the data? No, the points are in a curved pattern. No, the points are evenly distributed about the x-axis. Yes, the points are in a linear pattern. Yes, the points have no pattern.

Answers

The residual of a regression is the difference between the actual value and the predicted value

The true statement about the residual plot is (c) Yes, the points are in a linear pattern

The entries are given as:

x  Given  Predicted    Residual

1    -2.7         -2.84              

2    -0.9         -0.81            

3     1.1            1.22              

4     3.2          3.25              

5     5.4          5.28

The residual of a line of best fit is calculated using:

[tex]Residual = Actual - Predicted[/tex]

Using the entry headings, the formula would be:

[tex]Residual = Given - Predicted[/tex]

So, the residuals of the 5 entries are:

[tex]Residual_1 = -2.7 - -2.84 =0.14[/tex]

[tex]Residual_2 = -0.9 - -0.81 =-0.09[/tex]

[tex]Residual_3 = 1.1 - 1.22 =-0.12[/tex]

[tex]Residual_4 = 3.2 - 3.25 =-0.05[/tex]

[tex]Residual_4 = 5.4 - 5.28 =0.12[/tex]

So, the entries become:

x  Given  Predicted    Residual

1    -2.7         -2.84             0.14

2    -0.9         -0.81            -0.09

3     1.1            1.22             -0.12

4     3.2          3.25           -0.05

5     5.4          5.28            0.12

See attachment for the residual plot.

From the plot, we can see that the points are in a linear pattern.

Hence, the true statement about the residual plot is (c)

Read more about residuals at:

https://brainly.com/question/4333650

PLEASE HELP ILL DO THE SAME PLEASE AND I NEED STEP BY STEP IM TRYING TO LEARN :(

Answers

Answer:

5)

Line 1: [tex]y=-x+3[/tex]

Line 2: [tex]y=3x-3[/tex]

6)

Line 1: [tex]y=\frac{1}{2}x-2[/tex]

Line 2: [tex]y=-\frac{5}{2}x+6[/tex]

7)

See below

Step-by-step explanation:

To write the system of equations on the graph, you just need to write the 2 equations of the 2 lines.

5)

The first thing to do is find the slope of the lines. Pick one of them, and start by finding 2 points on that line that land perfectly on the grid.

It's pretty hard to read that top graph in the photo, but I think I see these ones marked:

Line 1: (0, 3) and (3, 0)

Line 2: (0, -3) and (2, 3)

Make sure I got them correct, because the equations will be wrong otherwise. Same for problem 6. To find the slope, divide the change in y by the change in x. Starting with line 1, y went from 3 to 0, so a change of -3. x went from 0 to 3, so a change of 3.

Divide the change in y by the change in x:

[tex]m=\frac{y2-y1}{x2-x1}\\\\m=\frac{0-3}{3-0}\\\\m=\frac{-3}{3}\\\\m=-1[/tex]

The slope of line 1 is -1. That means every time x increases by 1, y decreases by 1. You can see that on the line.

Now for line 2:

[tex]m=\frac{3--3}{2-0}\\\\m=\frac{6}{2}\\\\m=3[/tex]

When x increases by 1, y increases by 3.

The last thing to do is find the y-intercept of both lines. That's just where the line intersects the y-axis, at x = 0, and it's clearly visible on the graph so there isn't much to do.

Line 1: 3

Line 2: -3

Now, you can write the equations for these lines in slope intercept form:

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept we found above.

Line 1: [tex]y=-x+3[/tex]

Line 2: [tex]y=3x-3[/tex]

In line 1, -1x can be simplified to just -x.

6)

I'll do the exact same process here, but with less explaining. Let me know if you have any questions.

Find 2 points:

Line 1: (0, -2) and (4, 0)

Line 2: (0, 6) and (4, -4)

Find the slope of line 1:

[tex]m=\frac{y2-y1}{x2-x1}\\\\m=\frac{0--2}{4-0}\\\\m=\frac{1}{2}[/tex]

and line 2:

[tex]m=\frac{-4-6}{4-0}\\\\m=\frac{-10}{4}\\\\m=-\frac{5}{2}[/tex]

Now, the y-intercepts:

Line 1: -2

Line 2: 6

Write the equations:

Line 1: [tex]y=\frac{1}{2}x-2[/tex]

Line 2: [tex]y=-\frac{5}{2}x+6[/tex]

7)

A system with 1 solution means 2 lines that intersect at 1 point. Problems 5 and 6 are both examples of this. A system with no solution means lines that never intersect, meaning that they have the same slope, they're parallel.

Example:

[tex]y=2x+1\\y=2x+2[/tex]

Those both have a slope of 2, and if you graph them, you'll see that they never intersect.

A system with infinitely many solutions means they intersect at every possible point. These would just be the same line.

Example:

[tex]y=2x+1\\y=2x+1[/tex]

That's what they are, graph them however you like.

Which quadratic equation has roots -7 and -4?

Answers

Answer:

the given set of solutions {−7,4} is y=x2+3x−28 y = x 2 + 3 x - 28 .

68.1 x 0.8
help me please or im gonna fail :(

Answers

Answer: 54.48

Just copy n paste

5/6 divided by 3/4 in simplest form

Answers

Answer: The answer is 1 1/9.

Explanation: Multiply the numerator by the reciprocal of the denominator(5/6 x 4/3). Cancel the common factor of 2, then multiply 5/3 x 2/3. The result is 10/9, which is an improper fraction which should be converted to the mixed fraction 1 1/9.

If you don’t answer it correctly then don’t mind answering

Answers

The answers are underneath each problem. The reason this makes sense is  due to the distributive property.

27. GCF of 27 and 12 is 3

3(4+9)

28. GCF of 12 and 36 is 12

12(1+3)

29. GCF of 16 and 20 is 4

4(4+5)

30. GCF of 2x and 8 is 2

2(x+4)

31. GCF of 30 and 12x is 6

6(5+2x)

32. GCF of 42x and 49 is 7

7(6x+7)

To do this, find the GCF and then divide each number by so. Then, add them in parenthisis and multiply it by the GCF

On an architect’s drawing of a house, 1 inch represents 7 feet. If the bedroom window is 5 inches long on the drawing, how long will it be in the actual house?

Answers

Answer:  35 feet

Work Shown:

1 inch : 7 feet

5*(1 inch) : 5*(7 feet)

5 inches : 35 feet

5 inches on paper correspond to 35 feet in the actual house.

2(3+x)=18 what does x equal please show work

Answers

2(3 + x) = 18 / : 2

3 + x = 9

x = 9 - 3

x = 6

Answer:

x = 6

Step-by-step explanation:

2(3 + x) = 18 ( divide both sides by 2 )

3 + x = 9 ( subtract 3 from both sides )

x = 6

Your ship accidentally left an alien stranded at your starting location. How does the slope of this line compare with the slope of the line from the origin to the point (1, 4)? They are the same.

Answers

Answer:

no

Step-by-step explanation:

no I said no no nono nooooooo

Which statement is not used to prove that triangle ABC is similar to triangle ADC?

Answers

Answer:

what are the statements we pick from?

Step-by-step explanation:

most likely look out for angles and lengths that go against the established ratio

Help me

22 + 33 - 44 = ?​

Answers

Answer:

22 + 33 = 55

55 - 44 = 11

hence 11 is the answer

Answer:

11 luv:)

Step-by-step explanation:

I need help please can someone help me

Answers

i do not know but its something around number

15,735 children visited a fun park in January and 32,012 children visitedit in February. How many children visited the fun park in 2 months?

Answers

47,747 all you do is add the two numbers together

what is the value of the 4 in the number 546210?
give your anwer in words

Answers

Answer:

1000

Step-by-step explanation:

Answer:

10000 or 40000 pls mark this answer as brain list

Can someone please help me solve this

Answers

Answer:

Step-by-step explanation:

It saids evaluate given the three different functions below: The graph f(x), the equation g(x) and the table h(x)

you use a garden hose to fill a wading pool if the water level rise 12 centimeters every 5 minutes and you record the data point of (15,y) what is the value of y

Answers

15/3= 5
so 5 x 12 = 60

Kendricks Kennel has 2 spots for cats for every 7 spots for dongs. If he has a total of 144 spots for both cats and dogs, how many more spots does he have for dogs than cats

Answers

i got 80 as 7-2=5 and 144/9=16 and 16x5=80

2(w+5)
Use the distributive property to remove the parentheses.

Answers

Answer:

2w +10  yw  and give me brainliest cuz its correct

Step-by-step explanation:

Jason and Mateo went to eat at Sam's Sub Shop. They spent $12.25 for lunch plus 8% tax. If they split the bill evenly, what was the price that each person paid

Answers

Answer:

answer 26

ok now help me

1.0.2217.9-(4.1 + 1.8)] -0.22+ [7.9 - 0.224

Answers

Answer:

hhhhhhhhhhhhhh

Step-by-step explanation:

nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

*log x raised to n is the same as log n divide log x *

a. False
b. True

Answers

The log will b the letter B true

1
Find the indicated values for f(x) = -X.
-
a.
b.
f(0)
f(22)
f(-22)
C.
a.
f(0) =
=

Answers

Answer:

f(0) = 0

f(22) = 11

f(-22) = -11

Step-by-step explanation:

Substitute the values for x.

[tex]1.)~f(0)=1/2(0)=0\\\\2.)~f(22)=1/2(22)=11\\\\3.)~f(-22)=1/2(-22)=-11[/tex]

Write a story that could represent this math problem. 70 points

Answers

I have 5 bags of Totino Pizza Rolls. There are 3 pieces per bag. 1/3 of each bag is burnt.

Answer:

2/3+2/3+2/3+2/3+2/3

Step-by-step explanation:

A school staff meeting had 30 teachers in attendance, 60% of whom were first-year teachers. How many first-year teachers were in the meeting?

Answers

Answer:

I personally think the answer is because if the 60% of the teachers among 30 teachers were first-year teachers,then it would mean the other 40 % of the teachers were recent/ this year teachers.

The length of each side of a square is 3 inches more than the length of each side of a smaller square. the sum of the areas of the squares is 369 in.² find the length of the sides of the two squares

Answers

Answer:

Have you ever had a dream that, that, um, that you had, uh, that you had to, you could, you do, you wit, you wa, you could do so, you do you could, you want, you wanted him to do you so much you could do anything?

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLIEST

5. Laura just became a personal trainer and is finalizing her pricing plans. One plan is to charge
$55 for the initial consultation and then $41 per session. Another plan is to charge $50 for the
consultation and $46 per session. Laura realizes that the two plans have the same cost for a
certain number of sessions. How many sessions is that? What is that cost?

Answers

Answer:

Step-by-step explanation:

Tod did not want the answer?

the vertex angle of isosceles triangle is 110. what are the measures of the base angles

Answers

Two sides are equal in an isosceles triangle. This means that the angle both sides make with the third side must be the same. Since the angles in a triangle add up to 180°, you can subtract 110° from 180° and divide your answer by two. The resulting number will be the measure of each of the two unknown angles

5) If 5 times a number is increased by 4, the result is at least 19. Find the least possible
number that satisfies these conditions.

Answers

Answer:3

Step-by-step explanation:

5x3=15

15+4=19

solve pls brainliest


How can I use the scale factor to determine if a picture is an enlargement?

Answers

Answer:

You can use the scale factor to determine if a picture is an enlargement if the scale factor is greater than 1. If it is less than 1 like 0.9 then the picture would be a reduction because you would be multiplying the number by a number smaller than 1. Now if we have a scale factor greater than 1 let's say 3. Then the picture would be an enlargement because the number is greater than 1.

Step-by-step explanation:

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