solve the quadratic 3x^2+x-5=0

(Answer explained)

4(x-8)+12=2(2x-9)

We move all terms to the left:

4(x-8)+12-(2(2x-9))=0

We multiply parentheses

4x-(2(2x-9))-32+12=0

We calculate terms in parentheses: -(2(2x-9)), so:

2(2x-9)

We multiply parentheses

4x-18

Back to the equation:

-(4x-18)

We add all the numbers together, and all the variables

4x-(4x-18)-20=0

We get rid of parentheses

4x-4x+18-20=0

We add all the numbers together, and all the variables

-2!=0

There is no solution for this equation

Answer:

Step-by-step explanation:

We see the triangle ABC and AED with common vertex at the point A.

1. The center of dilation is the point A as it remains unchanged after dilation and the other vertices are lined up with the point A.

2. Since the scale factor is 1/2 < 1, the dilation is a smaller triangle, which is AED

Answer:

10

Step-by-step explanation:

there are five members 2x5 = 10

Answer:

1, 3, 5

Step-by-step explanation:

let the 3 consecutive odd numbers be n , n + 2 , n + 4 , then

5(n + 2) = 2(n + n + 4) + 3 ( 5 times 2nd = twice sum of 1st and 3rd + 3 )

5n + 10 = 2(2n + 4) + 3

5n + 10 = 4n + 8 + 3

5n + 10 = 4n + 11 ( subtract 4n from both sides )

n + 10 = 11 ( subtract 10 from both sides )

n = 1

n + 2 = 1 + 2 = 3

n + 4 = 1 + 4 = 5

The 3 consecutive odd numbers are 1, 3, 5

Step-by-step explanation:

let the three consecutive odd number be x + 1 , x + 3 , x + 5

a/q

5 times the middle number = 5(x + 3) is

3 more than twice the sum of 1st and 3rd number = 3 + 2(x+1 + x + 5 )

so,

= 5 ( x + 3 ) = 3 + 2 ( x + 1 + x + 5 )

= 5x + 15 = 3 + 4x + 12

= 5x + 15 = 4x + 15

= -4x + 5x = 15 - 15 = 0

= x = 0

so, the 3 consecutive odd numbers are,

x + 1 = 1

x + 3 = 3

x + 5 = 5

and also a/q

5 times the middle number = 5×3 = 15

is equal to 3 more than twice the sum of 1st and 3rd number = 3 + 2(1+5) = 12 + 3 = 15

LHS = RHS

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

I believe it is -11/8 cups

Answer:

p = - 2 , q = - 1

Step-by-step explanation:

Rearrange the left side into standard form

- x² + 4x - 5

Factor out - 1 from - x² + 4x

= - (x² - 4x) - 5

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² tp x² - 4x

= - (x² + 2(- 2)x + 4 - 4) - 5

= - (x - 2)² - (- 4) - 5

= - (x - 2)² + 4 - 5

= - 1 - (x - 2)²

Comparing to q - (x + p)²

with p = - 2 and q = - 1

Answer:

Correctly !

Step-by-step explanation:

Answer:

[tex]k=6[/tex]

Step-by-step explanation:

We can distribute the right side to get [tex]38+7k=8k+32[/tex].

We can subtract [tex]7k[/tex] from both sides to get [tex]38=k+32[/tex].

We can subtract [tex]32[/tex] from both sides to get [tex]6=k[/tex].

So, the answer is [tex]\boxed{k=6}[/tex] and we're done!

The solution to the equation 38 + 7k = 8(k + 4) is k = 6.

We can begin by simplifying both sides of the equation in order to find the solution to the equation 38 + 7k = 8(k + 4):

38 + 7k = 8k + 32

Next, we can separate the constant terms from the variable terms by placing them on opposite sides of the equation:

7k - 8k = 32 - 38

Simplifying even more

-k = -6

We can multiply both sides of the equation by -1 to remove the negative sign:

k = 6

Hence K = 6 is the answer to the equation 38 + 7k = 8(k + 4).

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Answer:

x < -15

Step-by-step explanation:

Here is the solution:

-3x-42 > 3

Add the numbers

-3x > 45

Divide both sides of the inequation by -3 and flip the inequality sign.

x < -15

Answer:

3x+y³

Step-by-step explanation:

Answer:

17. i

18. a

19. g

20. d

21. h

22. j

23. b

24. f

25. c

26. e

Answer:

1 1/2 gallons

Step-by-step explanation:

1/4 * 6 = 6/4 = 3/2

1/6+1/6+1/6+1/6+1/6+1/6 = 1 whole wall

that means it takes 6 times 1/4 gallon to finish the wall

Answer:

y-intercept is -18

Step-by-step explanation:

The total y=mx+b equation is y=4x-18, you can check in a calculator. I checked on a graphing calculator, and solved it via graphing on a piece of paper.

A line is drawn on the coordinate plane that passes through the point (3,-6) and has a slope of 4. The y-intercept of the line is -18.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Given:

A line that passes through the point (x, y), with a y-intercept of b and a slope of m, can be represented by the equation,

y = mx + b.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

m = 4 (given)

So, the equation of the line is,

y - y₁ = m(x - x₁)    equation 1

And here

x₁ = 3 and y₁ = -6.

Substituting the values to the equation 1,

y - (-6) = 4 (x - 3)  

y+6 = 4x -12

y = 4x -18.

Comparing with the slope-intercept form,

we get y-intercept b = -18

Therefore, the equation is y = 4x -18 and y -intercept of the equation is -18

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Answer:

55.2

Step-by-step explanation:

First Multiply

9.2*6

Answer:52

Step-by-step explanation:9.2 g of sugar is needed for every cake made how much sugar is needed for six cakes.

Answer:

The answer would be B 35.

Step-by-step explanation:

34 is closest to 35.

Answer:

-3x + 8 ≥ 35, hopefully that answers your question since you didn't really specify what you wanted your answer to be

Answer:

all right angles are congruent (90 degrees)

Step-by-step explanation:

I don't know if there are choices for you, but all right angles are congruent, meaning they are the same measurement

Answer:

150 cm2

Step-by-step explanation:

double of triangle abc is 200

this is in middle of both

Answer:

[tex]7x + 49 \degree = 2x + 94\degree \\ 7x - 2x = 94\degree - 49 \degree \\ 5x = 45\degree \\ x = \frac{45}{5} \\ x = 9 \\ check \\ 7(9) + 49 = 112\degree \\ 2(9) + 94 = 112\degree[/tex]

Answer:

0.8 km

Step-by-step explanation:

just divide 1.6km by 2

Answer:

option number 3

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Answer:

It has 9 factors.

Step-by-step explanation:

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. Therefore, if you count both 1 and 100, it has 9 factors.

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