Use the x-intercept method to find all real solutions of the equation.
x^3-6x^2+3x+10=0

Answers

Answer 1

Answer:

x=-1 or 5 or 2

Step-by-step explanation:

x³-6x²+3x+10=0

(x+1)(x-5)(x-2)=0

x+1=0 ⇒ x=-1

x-5=0 ⇒x=5

x-2=0 ⇒ x=2


Related Questions

Can I get some Help please

Answers

Answer:

f(-2) = 2

Step-by-step explanation:

The question is asking for the y-value of the point located at x = -2 on the graph. The point is at (-2, 2), so f(-2) = 2.

Solve the equation. 56=13+d

Answers

Answer:

d = 43

Step-by-step explanation:

Subtract 13 from each side of the equation. It should now look like this: 43 = d

A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 4, 5. Column 2 is labeled y with entries 15, 30, 60, 75. Does this table represent a proportional relationship? 1,15 2,30 4,60 5,75 please answer this question quickly please and thank you

Answers

Answer:

The table represents a proportional relationship

Step-by-step explanation:

Given

x ------ y

1 ------- 15

2 --------30

4 ---------60

5 -------- 75

Required

Determine if the table shows a proportional relationship

To check this, we make use of the following formula;

[tex]k = \frac{y}{x}[/tex]

Where k is the proportionality constant

When x = 1, y = 15

[tex]k = \frac{15}{1} = 15[/tex]

When x = 2, y = 30

[tex]k = \frac{30}{2} = 15[/tex]

When x = 4, y = 60

[tex]k = \frac{60}{4} = 15[/tex]

When x = 5, y = 75

[tex]k = \frac{75}{5} = 15[/tex]

Since the value of k for all values of x and y is the same; i.e. 15

Then, the table represents a proportional relationship

Quick Answer: $5.86

Step-by-step explanation:

Hope it helps!! :)

A roller coaster accelerates from an initial speed of 6.0 m/s to a final speed of 70 m/s over 4 seconds. What's the acceleration?

Answers

Acceleration=finalpoint-initialpoint/time
70m/s-6m/s/4
The answer is 16m/s^2

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{16 \: m/ {s} \: ^{2} }}}}}[/tex]

Step-by-step explanation:

Given,

Initial velocity ( u ) = 6 m/s

Final velocity ( v ) = 70 m/s

Time ( t ) = 4 seconds

Acceleration ( a ) = ?

Finding the acceleration

We know that,

[tex] \boxed{\sf{acceleration = \frac{v - u}{t} }}[/tex]

⇒[tex] \sf{ \frac{70 - 6}{4} }[/tex]

⇒[tex] \sf{ \frac{64}{4} }[/tex]

⇒[tex] \sf{16 \: m/ {s}^{2} }[/tex]

Hope I helped!

Best regards!

Every time Luisa bakes a batch of brownies she uses 1/2 cup of chocolate if she has 3/2 cups of chocolate remaining how many batches of brownies can Luisa make

Answers

Answer:

she can make 4 batches of brownies

Step-by-step explanation:

since she already made a batch of brownie with 1/2 cup and she has 3/2 cups left, that means she can make 3 more

3+1=4

hope this helps

The batches of brownies can Luisa make is 4 batches.

It is required to find the the batches of brownies can Luisa make.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

3 batches of brownies from 3/2 cups of chocolate left.

Step-by-step explanation:

From the question, we know that:

1/2 cups of chocolate = 1 batch of brownies

3/2 cups of chocolate = x

Cross Multiply

1/2 × x = 3/2

x = 3/2/1/2

x = 3/2 × 2/1

x = 3 batches.

That means she can make 3 more

3+1=4

Therefore, the batches of brownies can Luisa make is 4 batches.

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5x = 20 [÷6] Show the result of applying the given operations to both sides of these equations.

Answers

Answer:

x=⅔

Step-by-step explanation:

5x=20/6. multiply both sides by 6 to remove the denominator

5x(×6)= 20×6

6

30x=20

divide both sides by 30 to obtain the value of x

30x=20/30

30

x=20/30

x=⅔

Asia contains both the highest and lowest known points on earth. Mt. Everest is a little over 29,000 feet above sea level, and the shore of the Dead Sea is about 1,370 feet below sea level. What is the approximate difference in elevation between the two points?

27,630 feet
28,370 feet
29,370 feet
30,370 feet

Answers

Answer:

30,370 feet

Step-by-step explanation:

The difference in elevations between two points will be 30370 feet.

It is given that Mt. Everest is 29000 feet above sea level and the shore of dead sea is 1370 feet below the sea level.

We have to find out the difference in elevation between the two points.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , etc.

As per the question ;

Height of Mt. Everest from sea level = 29000 ft. above

Height of shore of dead sea from sea level = 1370 feet below

As these both are in opposite directions , i.e., one above sea level and other below sea level , we should add both of these to find the difference in elevations between these two points.

i.e.,

The difference in elevations between two points will be ;

= 29000 + 1370

= 30370 feet

Thus , the difference in elevations between two points will be 30370 feet.

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it is 12 degrees colder in the mountains than in the valley. The temperature on the mountain is x. The temperature in the valley is y

Answers

X= y+12

OR

Valley(y)= mountain(x)-12

What number is 30% larger than 2000

What number is 30% smaller than 2,600

Answers

Wouldn’t 2600 be 30% larger and 2000 would be 30% smaller??

Answer:

a) 2600

b) 1820

Step-by-step explanation:

let the number be 'x'

a)

[tex]x = 2000 + \frac{30}{100} (2000)[/tex]

[tex]x = 2000 + 600 = 2600[/tex]

b)

[tex]x = 2600 - \frac{30}{100} (2600)[/tex]

[tex]x = 2600 - 780 = 1820[/tex]

Hope it helps... ;-)BRAINLIEST PLEASE

The expression 100 + 20m100+20m100, plus, 20, m gives the volume of water in Eduardo's pool (in liters) after Eduardo spends mmm minutes filling his pool. What is the volume of water in Eduardo's pool after he fills it for 5 \dfrac145 4 1 ​ 5, start fraction, 1, divided by, 4, end fraction minutes?

Answers

Answer:

205 litres

Step-by-step explanation:

Given:

Volume of water is given as:

[tex]V=100+20m[/tex] (in litres)

m is the time in minutes spent filling water in Eduardo's pool.

To find:

Volume of water in the pool after the water is filled for [tex]5\frac{1}{4}[/tex] minutes.

Solution:

Here, volume of water in the Pool (in litres) is given by the equation:

[tex]V=100+20m[/tex] ....... (1)

Where m is the time for which Eduardo fills the pool.

Here, we are also given that

m = [tex]5\frac{1}{4}[/tex] minutes = [tex]\frac{5\times4+1 }{4}=\frac{20+1}{4}=\frac{21}{4}[/tex] minutes

And we have to find the value of V after [tex]\frac{21}{4}[/tex] minutes.

Let us put the value of m as [tex]\frac{21}{4}[/tex] minutes in the equation (1) to find the value of V.

[tex]V=100+20m\\\Rightarrow V = 100 + 20 \times \frac{21}{4}\\\Rightarrow V = 100+105\\\Rightarrow \bold{V = 205\ litres}[/tex]

So, the volume of water in the pool after [tex]\frac{21}{4}[/tex] minutes is 205 litres.

Find the distance between the points A(10, –9) and B(8, 7). Round your answer to the nearest hundredth. A

Answers

Answer:

16.12 units

Step-by-step explanation:

distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(8 - 10)² + (7 + 9)²]

d = √[(-2)² + (16)²]

d = √[4 + 256]

d = √260

d = 16.12

What is the third of 45

Answers

Answer:

15

Step-by-step explanation:

A third of 45 is 1/3 multiplied by 45 or 45 divided by 3, which is equal to 15.

Answer:

15

Step-by-step explanation:

45 divided by 3 = 15

Eleven less than a number (x) is 12.

Answers

Answer: 23

Step-by-step explanation:

eleven less than (x)=x-11

x-11=12

  x=23

Multiply and write your answer in scientific notation.
(4 10%)(2 x 10-5)

Answers

Answer:

Here mate!

Step-by-step explanation:

Enter numbers, scientific notation or E notation.

Scientific Notation: 3.45 x 10^5

E Notation: 3.45e5

HOPE IT HELPS AND IS CORRECT!

Label the terms, coefficients, constants, and variables of : 4x-7+15z-y+20

Answers

Answer: see below

Step-by-step explanation:

coefficient: the numerical before a variable (3x)

constant: a number that is represented as an individual (5)

variable: any nonnumerical symbols (x)

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

4x-7+15z-y+20

coefficient: 4 (4x), 15 (15z), -1 (-y)

constant: -7, 20

variable: x, y, z

Hope this helps!! :)

Please let me know if you have any question

For which set of data are the median and mode the same number?
5,5, 6, 8, 9, 10
3, 5, 6, 8, 8, 9
4, 5, 7,7,8,10
4, 5, 7, 8, 9,9

Answers

Answer:

The answer is 12

Type in the correct answer. What is the slope of line m? On a coordinate plane, a straight line goes through (negative 2, 1), (0, 0), and (2, negative 1).

Answers

Answer:

-0.5 or -1/2

Step-by-step explanation:

The equation for slope is y₂-y₁ / x₂-x₁.

It should work with all of the points given. Any of the 2 points you choose will give you the slope -0.5 or -1/2.

The slope the straight line going through (-2,1) , (0,0) and (2,-1) is -1/2.

What is a line segment?

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

The average slope of a straight line ;

The slope associated with two points (x₁, y₁) and (x₂, y₂) is given by

Slope = (y₂ - y₁)/(x₂ - x₁)

So slope  associated with two points (-2,1) , (0,0)

⇒ (0 - 1) / (0 + 2)

⇒ -1/2

Since all three points are in a straight line so slope must be the same.

Hence "The slope the straight line going through (-2,1) , (0,0) and (2,-1) is -1/2".

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why are the southern slopes of mountains warmer than northern slopes?​

Answers

in the northern hemisphere a south-facing slope (more open to sunlight and warm winds) will generally be warmer and drier due to higher levels of evaporation and transpiration than a north-facing slope. So South facing slopes are much warmer.

Answer:

In the Northern Hemisphere, soil on south-facing slopes dries out faster and is warmer than soil on north-facing slopes due to longer exposure to sunlight – the opposite applies in the Southern Hemisphere.

Step-by-step explanation:

I need help on question C only plzzzz​

Answers

You need to work out the current UK percentage first.

7c3d2

Need help finding the degree of the monomial

Answers

Answer:

5

Step-by-step explanation:

7c³d²

This term has tow variables, c and d

Power of c is 3

Power of d is 2

Degree of this monomial is = 3+2 = 5

Find the perimeter of a regular hexagon
with side 5cm.

Answers

Answer:

Step-by-step explanation:

Regular hexagon has six equal sides

Perimeter = 5 + 5 + 5 + 5 + 5 +5   or 6*5

                = 30 cm

A is directly proportional to x and inversely proportional to y. If A=20 when x=6 and y=9, what is the value of A when x=9 and y=6?

A) 1/20
B) 30
C) 45
D) 60

Answers

A=45

A=kx/y

where k is constant

substituting the values for k

k= 20×9/6=30

when x=9, y=6

A= 30×9/6=45

Which expression represents x? – 18x + 81 in factored form?
(x + 9)2
(x + 27)(x – 3)
(x – 9)
(x + 9)(x -9)
1
2
3
4 5

Answers

Answer:

[tex](x-9)^{2}[/tex]

Step-by-step explanation:

By factorization, we get ----

[tex]x^{2} -18x+81\\=x^{2} -9x-9x+81\\=x(x-9)-9(x-9)\\=(x-9)(x-9)\\=(x-9)^{2}[/tex]

Help someone plzzzz!!!!

Answers

Answer:

G.

hope this explanation helps

Step-by-step explanation:

Simplify: 3(a+b)-2(2a-b)+4a-7a ​

Answers

Answer:

Hey there!

3(a+b)-2(2a-b)+4a-7a

3a+3b-4a+2b-3a

3b-4a+2b

5b-4a

-4a+5b

Let me know if this helps :)

Answer

[tex] \boxed{ \boxed{ \bold{ \red{ - 4a + 5b}}}}[/tex]

Step by step explanation

[tex] \sf3(a + b) - 2(2a - b) + 4a - 7a[/tex]

Distribute 3 through the parentheses

⇒[tex] \sf3a + 3b - 2(2a - b) + 4a - 7a[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf3a + 3b - 4a + 2b + 4a - 7a[/tex]

Collect like terms

⇒[tex] \sf3a +4a - 4a - 7a + 3b + 2b[/tex]

Since , two opposites add up to zero, remove them from the expression

⇒[tex] \sf3a - 7a + 3b + 2b[/tex]

⇒[tex] \sf - 4a + 5b[/tex]

Hope I helped!

Best regards!!

Evaluate the expression 6z+5(-2z-7) for z=-1

Answers

Answer:

-31

Step-by-step explanation:

First let's plug in the value of z into the expression as it looks easier than expanding,

6(-1) + 5(-2(-1)-7)

Now we follow the order of PEMDAS,

6(-1) + 5(2-7)

6(-1) + 5(-5)

-6 - 25

-31

find HCF of 96 and 404 by prime factorization method and find their LCM ​

Answers

Answer:

HCF of 96 and 404 by prime factorisation method:-

Since, 96 = 2 × 2 × 2 × 2 × 2 × 3

and, 404 = 2 × 2 × 101

So, HCF of 96 and 404 = Product of common prime factors

                                 = 2 × 2 = 4

LCM = 2 × 2 × 2 × 2 × 2 × 101 × 3

       = 9696

Step-by-step explanation:

i think i

don't no

Nadia is mountain climbing. She started at an altitude of 19.26 feet below sea level and then changed her altitude by climbing a total of 5,437.8 feet up from her initial position. What was Nadia's altitude at the end of her climb?

Answers

Answer:

5,418.2 feet

Step-by-step explanation:

Nadia is carrying out mountain climbing.

She started climbing the mountain at an altitude of 19.26 feet below the sea level.

Nadia changed her altitude by climbing a total of 5,437.8 feet from her starting position.

Therefore, Nadia's altitude at the end of her climb can be calculated as follows

= 5,437.8-19.6

= 5,418.2

Hence Maria's altitude at the end of her climb is 5,418.2 feet

Answer:

5,418.2 feet

Step-by-step explanation:

how to do this question plz answer me step by step plzz plz plz ​

Answers

Answer:

yes

Step-by-step explanation:

Calculate the circumference (C) using

C = πd ( d is the diameter )

    = 180π cm

Each guest needs 70 cm, thus

180π ÷ 70 ≈ 8.078 ← number of guests at 1 table

18 × 8.078 = 145.404 ← number of guests at 18 tables.

There is enough tables to seat 145 guests

     

Match each function name with its equation.
(Look at picture)

Answers

Answer:

a. square root is y = [tex]\sqrt{x}[/tex]

b. linear is y = x

c. cubic is [tex]y = x^3[/tex]

d. quadratic is [tex]y = x^2[/tex]

e. reciprocal squared is [tex]y = \frac{1}{x^2}[/tex]

f. absolute value is y = |x|

g. reciprocal is [tex]y = \frac{1}{x}[/tex]

h. cube root is [tex]y = \sqrt[3]{x}[/tex]

Step-by-step explanation:

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