How many root(s) does the following equation have? Explain how you know for credit.
-6x2 - 6x + 7 = 7

Answers

Answer 1

Answer:

This equation has two roots.  We know this because of the format it is in.  Any expression in the form ax² + bx + c is a quadratic one, which describes a parabola and has two roots.

In this case, the roots are -1 and 0.

Step-by-step explanation:

Let's see if we can find those values:

-6x² - 6x + 7 = 7

-6x² - 6x = 0

x² + x  = 0

x(x + 1) = 0

x = -1, 0

We could also run through solving this by completing the square:

-6x² - 6x + 7 = 7

-6x² - 6x = 0

x² + x  = 0

x² + x + 0.25 = 0.25

(x + .5)² = 0.25

x + .5 = ±√0.25

x + .5 = ± 0.5

x = -0.5 ± 0.5

x  = -1, 0


Related Questions

A perfectly spherical scoop of ice cream has a surface area of 36π cm2 and the same diameter as the open end of the ice cream cone it rests on. The cone is 11 cm tall. If the ice cream melts into the cone, what volume of ice cream will overflow?

Answers

Answer:

9.43 cm³

Step-by-step explanation:

Given that the surface area of the spherical scoop is 36π cm², we find its radius. The surface area of a sphere, A = 4πr² where r = radius

36π cm² = 4πr²

r² = 36π cm²/4π

r² = 9 cm²

r = √(9 cm²)

r = 3 cm

So, the volume of the spherical scoop of ice cream is thus V = 4πr³/3

= 4π(3 cm)³/3

= 4π(9 cm³)

= 36π cm³

The volume of the ice cream cone is V' = πr²h/3 where r = radius of cone = radius of spherical scoop = 3cm and h = height of cone = 11 cm

V' = π(3 cm)² × 11 cm/3

= 9π cm² × 11 cm/3

= 33π cm³

So, the volume of ice cream that will overflow is thus V - V' = 36π cm³ - 33π cm³

= 3π cm³

= 9.43 cm³

Is the relation a function or no function?

Answers

Answer: I think is a function

Step-by-step explanation:

No function because the numbers are not independent nor dependent on each other

What is the slope of the line represented by the equation y = 4/5x-3?

Answers

Answer:

The slope is 4/5

Step-by-step explanation:

Can some one please solve these 10 questions I'm kinda confuse also please show the work for each willnmarl brianliest

Answers

Answer:

PEMDAS

Step-by-step explanation:

Follow this order to solve problems

Solve in

Parentheses

then

Exponents

then

Multiplication

or

Division

then

Addition

or

Subtraction

from left to right

Try to solve it on your own using this

Just to help ya out next time you have to answer these kind of questions

Answer:

1. 14  2. 64  3. 15  4. 27  5. 70  6. 62  7. 446  8. 23  9. 27  10. 102

Step-by-step explanation:

1. 4 + 84 / 7 - 2    2. 5 x 5 - 7 +82 / (2 x 1) + 5    3. (52-43) / 3 x (2 + 3)

  4 + 12 -2                 25 - 7 + 82 / 2 + 5                   9 / 3 x 5

     16 - 2                     25 - 7 + 41 + 5                           3 x 5

        14                            18 + 41 + 5                                15

                                            59 + 5

                                               64

4. 40 / 1 + 3 - (3 x 7) + 7 - 2     5. 3 + 6 x 12 - 5        6. (54 / 6) - 7 + (4 x 15)

       40 + 3 - 21 + 7 - 2                  3 + 72 - 5                    9 - 7 + 60

          43 - 21 + 7 - 2                         75 - 5                          2 + 60

              22 + 7 - 2                               70                               62

                 29 - 2

                    27

7. 5 x (49 / 1 - 5) x 2 + 9 - 3    8. 20 / 4 + 3 x 6    9. 19 + 63 / 9 x 3 - 13

     5 x 44 x 2 + 9 - 3                      5 + 18                  19 + 7 x 3 - 13

        220 x 2 + 9 - 3                          23                       19 + 21 - 13

            440 + 6                                                                 40 - 13

                446                                                                        27

10. (64 / 8) - 5 + (33 x 3)

       8 - 5 + 99

          3 + 99

             102

Carmen runs 4 miles in 30 min. At the same rate, how many miles would she run in 48min?

Answers

Answer: 360 miles hope this helps :D

Step-by-step explanation: 30/4=  1 mile every 7.5 min

7.5min times 48 equals 360 miles

What's the rate of inflation, this one will be worth 100 points for whoever gives me the correct answer and brainliest (If I can spell)

Answers

Step-by-step explanation:

it is 4.5% rate in inflation

I think it helps you

Answer:

a 4.5 % rate in change

Step-by-step explanation:

Please help everything you need is on the picture.

Answers

She would need to buy 75% of the dress Bc 100%-25% is 75%

Help with this question plzz

Answers

Answer:

I think it is 4 white and 3 blue

Step-by-step explanation:

Because they have 3 cups of white then 6 cups of white so i think they multiplied it. Then they have 4 cups of blue then 8 cups of blue. So if you multiply it, it will give you the answer. I hope this is right and it helped and can you mark me brainliest!!!!!!!!

Which of the following is an arithmetic sequence?
A 0,3, 8, 15, 24, 35, -..
B. 9, 4, -1, -6, -11, -16,
C. 1, 3, 6, 10, 15, 21,
D. -1, 0, 1, 0, 3, 0, ...

Answers

b

Step-by-step explanation: i don know

It would be (D) because an arithmetic sequence is the difference between one term and the next is a constant.

a/k + b = c/k make k as a subject

Answers

Answer:

By "make k as a subject", I assume you mean to solve for k?

If that is the case, then the answer is:

k = (c - a) / b

Step-by-step explanation:

Let's solve for k

a/k + b = c/k

Multiply both sides by k:

a + bk = c

Group terms containing k on the left:

bk = c - a

Divide both sides by k:

k = (c - a) / b

What is the difference between a rational and irrational number?

Answers

Answer:

Rational numbers are the numbers which are integers and fractions

Irrational numbers are the numbers whose expression as a fraction is not possible

Examples of Rational Number

1/9 – Both numerator and denominator are integers.

7 – Can be expressed as 7/1, wherein 7 is the quotient of integers 7 and 1.

√16 – As the square root can be simplified to 4, which is the quotient of fraction 4/1

0.5 – Can be written as 5/10 or 1/2 and all terminating decimals are rational.

0.3333333333 – All recurring decimals are rational.

Examples of Irrational Number

√2 – √2 cannot be simplified and so, it is irrational.

√7/5 – The given number is a fraction, but it is not the only criteria to be called as the rational number. Both numerator and denominator need to integers and √7 is not an integer. Hence, the given number is irrational.

3/0 – Fraction with denominator zero, is irrational.

π – As the decimal value of π is never-ending, never-repeating and never shows any pattern. Therefore, the value of pi is not exactly equal to any fraction. The number 22/7 is just and approximation.

0.3131131113 – The decimals are neither terminating nor recurring. So it cannot be expressed as a quotient of a fraction.

At a restaurant, the amount of your bill before taxes and tip is $19.83. A 6% sales tax is applied to your bill, and you leave a tip equal to 19% of the original amount. Use mental math to estimate the total amount of money you pay to the nearest dollar.

Answers

Answer:

$24.7875

Step-by-step explanation:

Step one:

given data

your bill before taxes and tip is $19.83

6% sales tax

tip equal to 19% of the original amount.

Required

The total expenses

Step two:

let the total expenses be y

let us calculate the cost of  tax and the tip

Tax

=6/100*19.83

=0.06*19.83

=$1.1898

Tip

=19/100*19.83

=0.19*19.83

=$3.7677

Total

Y= 19.83 +1.1898 +3.7677

Y= $24.7875

carlos earned 57 points on one section of a test and 26 points on the other section. Which equation expresses his total score.


HELP PLS BROOO

Answers

57+26= .. you just add the two points from each section, and i believe since it’s an expression you do not include the answer

ACTIVITY #1:
A. Write each number in scientific notation.
1. 38,000,000,000
4.0.000000001
2. 2,016,000,000,000 5. 0.000000001007
3. 0.000000000091306

Answers

Answer:

baaababababbabababab

Factor x2 – 8x + 15.

Which pair of numbers has a product of ac and a sum of b?



What is the factored form of the trinomial?

Answers

Answer:

x^2-8x+15

X^2+(a+b)X+ac

=X^2-(5+3)X+(1)(15)

a+b=8

ac=15

=x^2-5x-3x+15

=x(x-5)-3(x-5)

=(x-3)(x-5)

Answer:

a) -3 and -5

a) (x - 3) (x - 5)

Step-by-step explanation:

please help my assignment is missing and I really need to finish it.

Answers

Answer: it is D

Step-by-step explanation:

The answer is D. Hope this helps

Nine times the sum of a number and 6 equals 7. nown number​

Answers

42x42 I think because of how you were asking the question

A group of friends spent 1, 0, 2, 3, 4, 3, 6, 1, 0, 1, 2, and 2 hours online last night. What are the 1st and 3rd quartiles for this set of data?

Answers

1 and 3 i just did the math tell me if i’m wrong

For each 13 mm of coloured fabric Gordon uses to make his curtains he also uses 1 cm of white fabric express the amount of white fabric to coloured fabric as a ratio in its simplest form

Answers

Answer:

[tex]\frac{10}{13}[/tex]

Step-by-step explanation:

In the question, the units of the length of both colored and white fabrics are not the same. So, convert the unit of the white fabrics into mm.

The length of colored fabric used = 13 mm.

The length of white fabric used = 1 cm

                                                     = 10 mm

To express the white fabric to colored fabric, we have;

[tex]\frac{length of white fabric used}{length of colored fabric used}[/tex] = [tex]\frac{10mm}{13mm}[/tex]

                               = [tex]\frac{10}{13}[/tex]

Thus, the amount of white fabric to colored fabric can be expressed as[tex]\frac{10}{13}[/tex].

Hi can someone please help me with this question

Answers

Answer: B. 3x + 1/5

tom's pencil is longer than Ellen's pencil:

5x + 2/5 - (2x + 1/5) = 5x - 2x + 2/5 - 1/5 = 3x + 1/5 (cm)

Step-by-step explanation:

Select an expression equal to 6(4q + 8r)​

Answers

Answer: B: 24q+48r

Step-by-step explanation: 6(4q+8r)

=(6)(4q+8r)

=(6)(4q)+(6)(8r)

=24q+48r

 

I need some help ? Does anyone know this:)I’m new too this thats why im asking loll

Answers

the answer is 36 because in order to find area you multiply length and width so:

A= L x W
9 x 4 = 36

Answer:

36

Step-by-step explanation:

area of rectangle =length x width

givens:

width=4 units

length=9 units

area=9x4=36 units squared

|-1|=-1 is this true

Answers

false whenever you have the absolute value of a number it’s always positive so, |-1|=1

Answer:

False

Step-by-step explanation:

The question is asking for the absolute value of -1. The absolute value is the distance of a number from 0. Think of a number line. -1 is one place away from 0, so the absolute value of -1 is 1. Therefore, the statement is not true.

Which of the following shapes are quadrilaterals ? Please choose 2 correct answers !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!

Answers

Answer:

B and D

Step-by-step explanation:

quadrilaterals only have 4 sides hence the prefix quad

Answer:

B and D

Step-by-step explanation:

C has five sides and A has three sides with a curve, curve doesn't count as a side

Which matrix will always give a determinant of 0?
a matrix having all nonzero numbers
a matrix not being the identity matrix
a matrix not having equal rows
a matrix having two equal rows

Answers

Answer:

It's D, a matrix having two equal rows

Step-by-step explanation:

please help!! I will give brain liest for whoever answers them right

Answers

Answer:

1 - 6x+8

2 - 4y+5

3 - 7g+5

4 - 2w+4

5 - 14d-12

6 - -3r+5

7 - 8

8 - -10p+10

A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?


A coordinate plane.

–6
–1
1
6

Answers

First, we need to find the slope:
m=rise/run OR

m=(2+2)/(-6-2)
m=4/-8
m=-1/2

second we need to find the equation for the line using point-slope form:


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



to find "a" we plug in the given y value and solve for x (in this case x=a):






so, a=6 and the point becomes (6,-4)

Answer:

the answer is option 4: 6

Step-by-step explanation:

What is the value of the expression

245-4) - 3 x (2+1)
7
19
51
1.75​

Answers

Answer:

Step-by-step explanation:

(245 - 4) - 3 x (2 + 1)

   241 - 3 x 3

      241 - 9

         232

or if u wrote the problem wrong

(45 - 4) - 3 x (2 + 1)

   41 - 3 x 3

      41 - 9

        32

actually comment what the actual equation is and I'll solve that, bc I don't think you typed it right

why is the graph of the rose curve r=4cos2theta

Answers

Answer:

The correct answer is B.

Step-by-step explanation:

Any point can be represented in polar form by using the notation:

[tex]A = (r, \theta)[/tex] (1)

And any polar function must satisfy the following definition:

[tex]r = f(\theta)[/tex]

Let [tex]r(\theta) = 4\cdot \cos 2\theta[/tex], where [tex]r[/tex] is the radial distance of any point of the curve from origin and [tex]\theta[/tex] is the direction of any point of the curve with respect to +x semiaxis, measured in radians.

Finally, we proceed to graph the function with the help of a graphing tool and attach the result.

Besides, we must remember that cosine is a bounded function, which means that domain and range in rectangular coordinates are represented by:

[tex]Dom\{f\} = [-4,4][/tex], [tex]Ran\{f\} = [-4,4][/tex]

Then, the correct answer is B.

Which ordered pair is a solution of the equation?
52 - 2y = 18

Answers

Answer: y=17

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

52−2y=18

52+−2y=18

−2y+52=18

Step 2: Subtract 52 from both sides.

−2y+52−52=18−52

−2y=−34

Step 3: Divide both sides by -2.

−2y

−2

=

−34

−2

y=17

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Amazon gift card $5 if you answer then right I got answer sheet dont guessWhich of the following best describes the effect that the discovery of oil had on the economies of the Middle Eastern countries?The discovery of oil led to deforestation in Middle Eastern countries.The discovery of oil led to deforestation in Middle Eastern countries.The discovery of oil brought wealth and increased trade to the Middle East.The discovery of oil brought wealth and increased trade to the Middle East.The discovery of oil caused oil spills and environmental issues in the Middle East.The discovery of oil caused oil spills and environmental issues in the Middle East.The discovery of oil increased the debt in countries of the Middle East.Which of the following is a cause for desalination in the Middle East?A lack of fresh water resources in the regionA lack of fresh water resources in the regionAn abundance of oil and dependence on other resourcesAn abundance of oil and dependence on other resourcesToo much rainfall and flooding near the Nile RiverToo much rainfall and flooding near the Nile RiverAcid rain leads to corrosion of important pyramidsThe transportation corridor that allows you to travel from Europe to Asia without going around Africa is the Panama CanalPanama CanalChunnelChunnelSuez CanalSuez CanalBlack Sea Which table represents the function y = 4x - 3?Input x 0 1 2Output y -3 1 5Input x 0 1 2Output y -3 -4 -5Input x 0 1 2Output y 1 3 5Input x 0 1 2Output y -3 -2 -1 2.67 times .43show work PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! I DONT KNOW HOW TO GRAPH SOPLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! I DONT KNOW HOW TO GRAPH SO CAN YOU SHOW ME HOW TO DO IT PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLS DRAW IT Is there a solution YES OR NO AND WHAT IS THE SOLUTION? LAST QUESTION! THANKS SO MUCH FOR EVERYTHING!! :) If an object travels 245 km in 5 hours, what was the speed of the object? Why are nonrenewable energy sources important to humans? (pick as many as yu can)They can be used to create biomass.They can be used to create chemicals.They can be used to create wind.They can be used to make plastics. To compare myths in two cultures, what should you do?Analyze the characters in each myth.Show ways that the myths are different.Figure out the purpose of the myths.Describe how the myths are alike. Please help! To bundle links together in order to improve bandwidth availability and redundancy, what protocol is used Can you help me plz i learning it today Rivers that flow long distances deposit ____into the ocean.-sand and silt-foraminifera-large rocks find the total surface area of this cone, leaving your answer in terms of pi using the elimination method, what is x and y, I am mostly having trouble with the y part, please explain 2x - 4y = 28-x + 6y = -14 plz help me with this 1/6w is greater than or equal to 2.5 Determine the value of X in the diagram below. An after-school program consists of two groups, Section X and Section Y. In order for the program to run,there must be at least 95 students total. There must be at most 20 less students in Section Y than in Section X.Write a system of inequalities to model the number of students in each of the two sections. Then solve thesystem by graphing An angle measures 80 less than the measure of its complementary angle. What is the measure of each angle HELP! Click on the png if your willing to save me from eternal pain!