Use the quadratic formula to solve x2 – 3x - 2 = 0

Answer:

-3

Step-by-step explanation:

Using the remainder and the factor theorem

5⁰-4

1-4

-3

Step-by-step explanation:

x = one odd number

the second odd number is (x+2), as both are consecutive.

so,

x × (x + 2) = 195

x² + 2x = 195

x² + 2x - 195 = 0

the formula to solve this is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 2

c = -195

x = (-2 ± sqrt(4 - 4×1×-195))/(2×1) =

= (-2 ± sqrt(4 + 4×195))/2 = (-2 ± sqrt(784))/2 =

= (-2 ± 28)/2 = -1 ± 14

x1 = -1 + 14 = 13

x2 = -1 - 14 = -15 which is invalid as the numbers are positive.

so, the two numbers are 13 and 15.

Answer:B and c

Step-by-step explanation:

Answer:

2.83

Step-by-step explanation:

Answer:

a = 10, b = 5, c = 14, d = 25

Step-by-step explanation:

Plug in -2 for x ....

y = 2(-2)^2 + -2 + 4

y = 2(4) + 2

y = 10

Plug in -1 for x ....

y = 2(-1)^2 + -1 + 4

y = 2(1) + 3

y = 5

Plug in 2 for x ....

y = 2(2)^2 + 2 + 4

y = 2(4) + 6

y = 8 + 6

y = 14

Plug in 3 for x ....

y = 2(3)^2 + 3 + 4

y = 2(9) + 7

y = 18 + 7

y = 25

Answer:

5:3=8

3/8 x 120

3/1 x 15

3 x 15=45

Step-by-step explanation:

hope this helps

sorry

Answer:

We can conclude they are congruent

Step-by-step explanation:

Because of the vertical angles theorem

None of the options are correct. And the given triangle is a right-angle triangle.

Given that,
Which of the following statements justifies why the triangle shown below is not a right triangle is to be determined.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
A triangle that follows the Pythagoras theorem, are right an angles triangle,
For the given triangle,?
13² = 4² + 12²
169 = 25 + 144
169 = 169
So, the given triangle holds the property of Pythagoras' theorem,

Thus, None of the options are correct. And the given triangle is a right-angle triangle.

Learn more about triangles here:
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Answer:

I and IV

Step-by-step explanation:

based on the unity circle 0 and 360 is on the same plane..hope it's answerd

Answer:

−251

Step-by-step explanation:

Answer:

6 x 2 / (-1) x 5 - (8 + 3)

6 x 2 / (-1) x 5 - 11

12 / -1 x 5 - 11

-12 x 5 -11

-60 - 11

-71

Step-by-step explanation:

hope this helped if not then i am sorry good luck

Answer:

Step-by-step explanation:

1. B is midpoint of DC and EA              1. Given

2. DB ≅ CB                                            2. Definition of midpoint

3. EB ≅ BA                                              3. Definition of midpoint

4. ∠EBD ≅ ∠ABC                                  4. Vertically opposite angles

5. ΔBDE ≅ ΔBCA                                  5. S A S congruent

Answer:

Step-by-step explanation:

Answer:

B. the mosquito transforms into a butterfly

Step-by-step explanation:

Since mosquitos and butterflies are entirely different insects, one cannot transform into the other. Mosquitos never take on a butterfly's coloring, habits, or even purpose during their lifetime.

I hope this was incredibly helpful! Tell me if you need any further assistance...

( :

Answer:

7 is the required answer.

Step-by-step explanation:

4200 ÷ 7 = 600

0111100109090909099999999999999999

Answer:

it 3.5-9

Step-by-step explanation:

Answer: the answer is 2 14/15

Step-by-step explanation:

The solution of the expressions will be 0.44.

What is Number system?

A system of writing to express the number is called number system.

Given that;

The expressions are,

⇒ −[−1 2/5 ÷ 0.7 (1.8) ] − 2/3

Now,

Solve the expression as;

⇒ −[−1 2/5 ÷ 0.7 (1.8) ] − 2/3

Using the BODMAS rule to solve the expressions as;

⇒ −[−1 2/5 ÷ 0.7 (1.8) ] − 2/3

⇒ −[−1 2/5 ÷ 1.26 ] − 2/3

⇒ - [ - 7 / 5 ÷ 1.26 ] − 2/3

⇒ - [ - 7 / 5 x 1 / 1.26 ] - 2 / 3

⇒ - [ - 7 / 6.3 ] - 2/3

⇒ 1.1 - 2/3

⇒ 1.1 - 0.66

⇒ 0.44

Therefore,

The solution of the expressions will be 0.44.

Learn more about the mathematical expression visit:

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Answer:

I think it's c

Step-by-step explanation:

because that looks like a good answer.

Answer:

x=8

y=18

Step-by-step explanation:

[tex](3x+13)+(7x-3)=90[/tex]

[tex]10x+10=90[/tex]

[tex]10x=90-10[/tex]

[tex]x=\frac{80}{10} =8[/tex]

[tex]3x+13=3(8)+13=24+13=37[/tex]

[tex]5y=180-37-53=90[/tex]

[tex]y=\frac{90}{5} =18[/tex]

I hope this help you

Answer:

I was thinking it should be -1,2 but that'd not an awnser so B

Answer:

0.855

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first zero in the tenth region

The second zero is in the hundreds region

The 8 is in the 1/1000 so look to the next digit.

It is a 5

So round 1 digit in the thousands higher.

Answer: 0.009

Answer:

A plot is a graphical technique for representing a data set, usually as a graph showing the relationship between two or more variables. The plot can be drawn by hand or by a computer. In the past, sometimes mechanical or electronic plotters were used.

Step-by-step explanation:

not the answer for that but ig this can help u mwa

Answer:

12.15-13.00 is 15 mins

13.00-13.30 is 30 mins

Answer-45 mins

Answer:

C

Step-by-step explanation:

m = -3

y = mx +b

y = -3x + b

Plugin x = -1 and y = 4

4 = -3*(-1) +b

4 = 3 + b

4-3 = b

b = 1

y = -3x + 1

Answer:

B, C, D

Step-by-step explanation:

The equation of a line in point slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 3 and (a, b ) = (- 1, 4 ) , then

y - 4 = - 3(x - (- 1) ) , that is

y - 4 = - 3(x + 1) → D

Distribute parenthesis

y - 4 = - 3x - 3 ( add 4 to both sides )

y = - 3x + 1 → C

Add 3x to both sides

3x + y = 1 → B

I sadly do not have an answer to this problem but,  have a great explanation for a similar problem. (I really am sorry that I don't have the answer, in a bit of a time constraint)

Step-by-step explanation:

Example (graph found below):

The domain of a function f(x) is the set of values of x for which f(x) has a defined value.



In the graph we can see that we have two asymptotes: one vertical and one slant asymptote.



The slant asymptote does not affect the domain,  but the vertical asymptote at x = 0 implies that f(x) does not have a defined value at x = 0.

Then, x = 0 is not part of the domain of f(x). All the real numbers different from 0 are part of the domain.



Then, we can write the domain as x ≠ 0 or, in interval notation, as (-∞,0) ∪ (0,∞).



Answer: the domain is all the real numbers different from 0.



NOTE:

If we want to know the range of the function, we have to look at the values that f(x) can take for the domain for which it is defined.

In this case, we can see that there is no limitation for the values f(x) can take: f(x) can take all real numbers, so the range is all real numbers.

Answer:

[tex]D = (-\infty, -1) \ \cup \ (-1, 2) \ \cup \ (2, \infty)[/tex]

Step-by-step explanation:

This function is rational function that's meaning that is of the form:

[tex]\frac{1}{x}[/tex]

So you have to take care when [tex]x[/tex] is equal to 0 because the function is undefine in that number (is represented with an asymptote and means that go to positive or negative infinity).

In the given graph there are 2 asymptotes in -1 and 2 so you have to avoid this two points in the notations by intervals. You can achieve this using the parenthesis indicating that you don't take the value in account.

Answer:

it would be C

Step-by-step explanation:

Answer:

1) 11c

2) 9m - 14

3) 4x - 5

-----

4) x = 4

5) x = 2

Step-by-step explanation:

1)

10c + c

11c

2)

5m + 2( 2m - 7 )

5m + 4m - 14

9m - 14

3)

6x - ( 2x + 5 )

6x - 2x - 5

4x - 5

-----

4)

3x + 7 = -5

3x = 12

x = 4

5)

18 = 4x + 10

8 = 4x

2 = x

Hopefully this helps!

Brainliest please?

Answer:

Step-by-step explanation:

Answer:

y = 12x + 2

Step-by-step explanation:

To know:

     [] These equations are in y = mx + b form

           () Also known as slope-intercept form

           () m is the slope

           () b is the y-intercept

Now, let's solve

     [] Slope / m

           () Slope is "change in y over change in x," let hours be our x and distance by our y

           () [tex]\frac{62 - 14}{5 - 1}=\frac{48}{4}=12[/tex]

     [] Y-intercept / b

           () We will plug in a set of points into our current equation, then solve for b

           () y = mx + b -> y = 12x + b -> 14 = 12(1) + b -> 14 = 12 + b -> 2 = b

Last, we will find our answer

Our b is 2, and our m is 12. This leaves us with option 1, y = 12x + 2

Have a nice day! - table I made is attached

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather