Solve using the Quadratic Formula:

a) -7x^2 + 7x + 1 = -8

b) -6x - 1 + 5x^2 = 8x^2

Show your work.

Answers

Answer 1

A. - 7x² + 7x + 1 + 8 = 0

- 7x² + 7x + 9 = 0

x = - b ± √b² - 4ac / 2a

= - 7 ± √7² - 4 (-7) (9) / 2 (-7)

= - 7 ± √49 + 252 / - 14

= - 7 ± √ 301 / - 14

x = - 7 + 17.349 / - 14 x = - 7 - 17.349 / - 14

= 10.349 / - 14 = - 24.349 / - 14

= - 0.739 = - 1.739

B. 8x² - 5x² + 6x + 1 = 0

3x² + 6x + 1 = 0

x = - b ± √b² - 4ac / 2a

= - (-5) ± √-5² - 4 (3) (1) / 2 (3)

= 5 ± √25 - 12 / 6

= 5 ± √ 13 / 6

x = 5 + 3.606 /6 x = - 5 - 3.606 / 6

= 8.606/6 = - 8.606/6

= 1.434. = - 1.434

please re-check the answers hope this helps


Related Questions

Solve using substitution.
=
10x + 4y = -14
X = 1
-
Submit

Answers

Answer:

-6

Step-by-step explanation:

10x1 + 4y = -14

10+4y=-14

4y=-14-10

4y = -24

y = -24/4

y = -6

What is the greatest common factor of 14, 30, and 40?

Answers

Answer:

1x14 1x30 1x40

Step-by-step explanation:

..................................

Answers

Answer: 35 dots

Step-by-step explanation:

Help ASAPPPPP PLZZZZZZ

Answers

I believe the answer is x = 64.1°. Hope this helps!

Rename 3/4 and 9/10 using the least common denominator

Answers

See attached picture please

please ignore the work below it!! i am pretty sure it’s wrong!!

Answers

I’m sorry let me think This is so confusing i’ll try and solve it

7. A computer shop sold $356,291 worth of computers. It
sold $43,720 worth of accessories. The shop wants to sell a
total of $400,000 worth of computers and accessories. How
much more money do they need to make?

Answers

Answer:

none. they have already sold exactly $400,000 worth of computers and accessories

What is the expected value of X?


X 3 4 5 7 9
P 0.2 0.1 0.25 0.05 0.4

6.2
6.05
5.95
5.6

Answers

Multiply each X by its corresponding probability P, then add up them up.

E[X] = 3•0.2 + 4•0.1 + 5•0.25 + 7•0.05 + 9•0.4

⇒   E[X] = 6.2

Help help help help math

Answers

area=147 cm squared

7 x 7 = 49

49 x 3 = 147

In a certain poultry farm,on average every 8 chickens lay 144 eggs per week.In five weeks the chickens laid 2880 eggs.How many chickens are in the farm? A.18. B.32. C.160. D576​

Answers

Answer:

C

Step-by-step explanation:

A curve is represented by x = 3sec θ, y = 3tan θ where 0 < θ < /2.
Which of the following is the y intercept of the tangent to the curve at (2√3, √3)?

Answers

Applying derivative concepts, the y-intercept of the line tangent to the curve at (2√3, √3) is: [tex]y = \sqrt{3}[/tex]

The equation of the line is:

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

In which:

There is a point [tex](x_1, y_1)[/tex].The slope is [tex]m = \frac{\frac{dy}{d\theta}}{\frac{dx}{d\theta}}[/tex]

In this problem, point [tex](2\sqrt{3}, \sqrt{3})[/tex], hence [tex]x_1 = 2\sqrt{3}, y_1 = \sqrt{3}[/tex]

To find the value of [tex]\theta[/tex], we have that:

[tex]3\tan{\theta} = \sqrt{3}[/tex]

[tex]\tan{\theta} = \frac{\sqrt{3}}{3}[/tex]

[tex]\theta = \frac{\pi}{6}[/tex]

Then, for the slope:

[tex]\frac{dy}{d\theta} = 3\sec^{2}{\theta}[/tex]

[tex]\frac{dx}{d\theta} = 3\sec{\theta}\tan{\theta}[/tex]

Considering [tex]\theta = \frac{\pi}{6}[/tex]:

[tex]\frac{dy}{d\theta} = 3\left(\frac{2}{\sqrt{3}}\right)^2 = 2[/tex]

[tex]\frac{dx}{d\theta} = 3\left(\frac{2}{\sqrt{3}} \times \frac{\sqrt{3}}{3}\right) = 2[/tex]

[tex]m = \frac{\frac{dy}{d\theta}}{\frac{dx}{d\theta}} = 1[/tex]

Then, the equation of the line is:

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

[tex]y - \sqrt{3} = x - 2\sqrt{3}[/tex]

[tex]y = x - \sqrt{3}[/tex]

The y-intercept is the value of y when x = 0, hence:

[tex]y = \sqrt{3}[/tex]

A similar problem is given at https://brainly.com/question/22426360

Sewing machine cost $162.40 after a price increase of 16% find the price before the increase​

Answers

Answer:

$140

Step-by-step explanation:

100/116×$162.40=$140

Answer:

Before the increase it was $136.416.

Step-by-step explanation:

16% of $162.40 is 25.984.

We need to do $162.40 - 25.984 which equals to $136.416.

Hope that helps. x

Algebra 2
What is the sum If x≠0?

Answers

Answer:

14x^4sqrt10

Step-by-step explanation:

Out of the two possible answers showing in the picture it seemed as is it was the only valid answer

The LCM of 2, 3, and 4 is _____. 24 12 6

Answers

Answer: the answer is 12

Step-by-step explanation: trust me

The LCM of 2,3, and 4 is 12.

What is LCM?

The smallest number that can be divided by both numbers is known as the least common multiple (LCM) of two numbers.

The given numbers are 2,3 and 4.

The LCM of 2,3, and 4 is the lowest number that can be divisible by 2,3, and 4.

The lowest number that can be divisible by 2,3 and 4 is 12.

Therefore, the LCM of 2,3, and 4 is 12.

Learn more about LCM:
https://brainly.com/question/20739723

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what is the equation of a line that contains points (5,3) and (0, -1)

Answers

Answer:

y = [tex]\frac{4}{5}[/tex] x - 1

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 )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (5, 3 ) and (x₂, y₂ ) = (0, - 1 )

m = [tex]\frac{-1-3}{0-5}[/tex] = [tex]\frac{-4}{-5}[/tex] = [tex]\frac{4}{5}[/tex]

The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1

y = [tex]\frac{4}{5}[/tex] x - 1 ← equation of line

1) The graph below represents the function y = f(x). State the domain and range of this
function in interval notation.

Answers

Domain [-5, positive infinity)
Range [-7,6]

* it might be off by a little the graph was lightly printed

I don’t understand how to do it

Answers

Answer:

Use the slope formula (y2-y1 over x2-x1) also attached as an image file to my answer for each question. After you solve each number for their slope, input the problem number into the table that corresponds with the slope.

For your information, in the attached image file with the formula, "m" represents the slope in the formula.

URGENT! WILL MARK BRAINLIEST!!

Write an inequality that represents the graph.

(it’s #4)

Answers

Answer:

x > 2

Step-by-step explanation:

Let x = unknown number

The dot is at 2.

The dot is also an open circle meaning that 2 is not included. When the dot is an open circle we use < or > rather than ≤ and ≥

The line is going to the right towards the larger numbers.

This means that the solution to the inequality is greater than 2.

This can be represented as x > 2

Answer: x >2

Step-by-step explanation: It has an open circle and is pointing in the greater than direction. Therefore, it is written as x >2 which reads x is greater than 2. Of course, you could use any variable (letter) that you wish to choose.

Hope this helps.

Best to you!

ways to write 25 percent of n,

Answers

Answer:

  0.25n = 25/100n = n/4

Step-by-step explanation:

25% of n = ...

  0.25n = 25/100n = n/4

and any of an infinite number of equivalent expressions.

Candi must take 15 ml of Medicine A three times daily, until it is finished. If the bottle of Medicine A contains, 5 L, how many days will she be taking the medication?
Round off your answer to the nearest whole number.​

Answers

Candi would be taken medicine A for 11 days for her to complete the medication.

1 L = 1000 ml

Candi needs to take 15 ml of Medicine A three times daily. Therefore:

Amount of drug taken by Candi daily = 15 ml * 3 times = 45 ml = 0.045 L

Since the bottle contains 5 L, The number of days she needs to take the madication is:

Number of days = 5 L / 0.045 L = 11 days

Candi would be taken medicine A for 11 days for her to complete the medication.

Find out more at: https://brainly.com/question/2077866

what is the square root of negative 1 divided by 8

Answers

Answer:

if you mean [tex]\frac{\sqrt{-1} }{8}[/tex] then the answer[tex](1/8)i[/tex]

and if you mean:[tex]\sqrt{\frac{-1}{8}}[/tex] then the answer is[tex]\frac{i\sqrt{2} }{4}[/tex]

Hence, the answer value of [tex]\sqrt\frac{-1}{8}[/tex] is [tex]i\frac{\sqrt2}{4}[/tex].

What is the fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts

As per the given information

i.e.,

[tex]\sqrt\frac{-1}{8}=i\frac{\sqrt2}{4}[/tex]

Hence, the answer value of [tex]\sqrt\frac{-1}{8}[/tex] is [tex]i\frac{\sqrt2}{4}[/tex].

To know more about the fraction

https://brainly.com/question/5431264

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Will mark brainliest

Answers

Answer:

E ( 1 , -1 ) is in quadrant IV

Answer 1-5 for each! I’ll mark as brainiest

Answers

Answer:

4 because I had this quiz and I got 80

You deposit $50 in your saving account and then add $20 per month. Would this equation be linear or exponential?
Group of answer choices

Exponential

Linear

Answers

Linear because you are adding the same amount every time

HELP ME PLEASE!! I NEED THIS!
Determine whetherf(z) = 5x^2 -20x + 3 has a maximum or a minimum value and find that value.
the graph" will also not earn the credit.

Answers

Answer:

min{5 x^2 - 20 x + 3} = -17 at x = 2

Step-by-step explanation: here's the graph

The slope of a line is (-1/2) and a point on the line is (-2, 3). Find the equation for the line in slope intercept form.

Answers

Answer:

y=-1/2x+2

Step-by-step explanation:

y-y1=m(x-x1)

y-3=-1/2(x-(-2))

y-3=-1/2(x+2)

y=-1/2x-2/2+3

y=-1/2x-1+3

y=-1/2x+2

Who every gets it right will get Brainly and 20points

Answers

Answer: Third multiple choice

Step-by-step explanation:

First answer:

Since the fraction is increased by 7, we need to check if the increasing factor is the same for the bottom part of the fraction:

[tex]2.54*7=17.78\neq 17.68[/tex]

The first answer doesn't match, we do the same for all three remaining answer.

2)[tex]12*7=84\neq 74[/tex]

3)[tex]36*7=252[/tex]

4)[tex]3.28*7=22.96\neq22.86[/tex]

In this case, the answer is the third multiple choice.

Which number goes in the square with the question mark?
[?] ÷ 3 = 2 N
N = 21 ÷ 3-3
A. 0
B.7
C.8
D.24

Answers

Answer:

this has to do with trial and error

since N=21÷3-3

so 21÷3-3=4

therefore N=4

substitute for N

2×4=8

8×3=24

therefore 24÷3=2×4

Use the zero product property to find the solutions to the equation x2 â€"" 15x â€"" 100 = 0. X = â€""20 or x = 5 x = â€""20 or x = â€""5 x = â€""5 or x = 20 x = 5 or x = 20.

Answers

The values for [tex]x[/tex] are -5 and 20

Given to us:

[tex]x^2-15x-100=0[/tex]

In order to use the zero product property, we need to find out a 2 numbers whose product is -100 and sum is -15.

for that you can take the LCM of 100 and check all factors of 100.

for example,

factors of 100 are 100, 50, 25, 20, 10, 5, 4, 2, 1.

from this -20 and +5 are the numbers whose sum will give -15 and product will be -100. therefore,

[tex]x^2-15x-100=0\\x^2-20x+5x-100=0[/tex]

taking out common terms, we get

[tex](x^2-20x)+(5x-100)=0\\x(x-20)+5(x-20)=0\\(x+5)(x-20)=0\\[/tex]

to find out the value of [tex]x[/tex] equating both the factors with 0, we get

[tex](x+5)=0\\x=-5\\(x-20)=0\\x=20[/tex]

Hence, the values for [tex]x[/tex] are -5 and 20

To know more visit:

https://brainly.com/question/98541

Answer:

C or x=-5 or x=20

Step-by-step explanation:

NEED ANSWER VERY BAD BAD

Answers

5x + 18 + 81 + 4x = 180
Like terms
9x + 99 = 180

9x = 81

X = 9

Hope this helps!
Brainliest is much appreciated
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