It finally snowing in Texas...

Answer:

a) x = -2+√3 and -2-√3

b) x = -1 + 2√3/3 and -1 - 2√3/3

c) x = 3.185 and 0.315

Step-by-step explanation:

To solve the following quadratic equation, we will use the general formula

x = -b±√b²-4ac/2a

a) x²+4x+1 = 0

a = 1, b = 4 and c = 1

Substitute into the formula

x = -4±√4²-4(1)(1)/2(1)

x = -4±√16-4/2

x = -4±√12/2

x = -4±2√3/2

x  = (-4+2√3)/2 and  (-4-2√3)/2

x = -2+√3 and -2-√3

b) 3x²+6x-1 = 0

a = 3, b = 6 and c = -1

Substitute into the formula

x = -6±√6²-4(3)(-1)/2(3)

x = -6±√36+12/6

x = -6±√48/6

x = -6±4√3/6

x  = (-6+4√3)/6 and  (-6-4√3)/6

x = -1 + 2√3/3 and -1 - 2√3/3

c) 2x² - 7x + 2 = 0

a = 2, b = -7 and c = 2

x = -(-7)±√(-7)²-4(2)(2)/2(2)

x = 7±√49-16/4

x =7±√33/4

x = 7±5.74/4

x = 7+5.74/4 and 7-5.74/4

x = 12.74/4 and 1.26/4

x = 3.185 and 0.315

Answer:

the walking rate miles per hour is 2 miles per hour

Step-by-step explanation:

The computation of the walking rate miles per hour is shown below;

Given that

She can walk half mile in one-fourth of an hour

= Miles ÷ hours

= (1÷ 2) ÷ (1 ÷4)

= 0.50 ÷ 0.25

= 2 miles per hour

Hence, the walking rate miles per hour is 2 miles per hour

The same is considered

Answer:

Y=-3x+0 or Y=-3x

Step-by-step explanation:

Y=mx+b

m=slope

b=y-intercept (where the line crosses the y axis)

The line crosses the Y axis at (0,0), so:

Y=mx+0 or

Y=mx

Slope:

Rise/run= Change in y/Change is x= 9/-3=-3

So:

Y=-3x+0 or

Y=-3x

Answer: 3x + y = 0

Step-by-step explanation: Remember that slope is represented by

rise over run from one point to the next on our graph.

To get from the point (0, 0) to (3, -9), we go down -9 units

so our rise is -9 and we run 3 units so our run is 3.

Our slope therefore or m = -9/3 or -3.

Our y-intercept is represented by the point where this line

crosses the y-axis which in this case is up 0 units.

So our y-intercept or b = 0.

Since we have the slope and y-intercept of our line,

we can now write its equation in y = mx + b form.

Since m = -3 and b = 0, that gives us y =-3x + 0.

Now we convert this equation to standard form.

Just add 3x to both sides to get 3x + y = 0.

So the equation of this lie is 3x + y = 0.

Answer:

-7-3/4+1= -2

Hence its A

Answer:

D: 1:3

Step-by-step explanation:

I took the test and got it right

Answer:

y- 9 = 2 (x -1)

Step-by-step explanation:

Answer:

a. Interest amount is $3,000.

b. Total cost is $23,000.

Step-by-step explanation:

a. How much interest will he pay

This can be calculated as follows:

Interest amount = Principal loan Amount * Interest rate * Number of years ........ (1)

Where;

Principal loan Amount = $20,000

Interest rate = 5%

Number of years = 3

Substituting the values into equation (1), we have:

Interest amount = $20,000 * 5% * 3 = $3,000

b. What will be the total cost that he will owe including interest?

Total cost = Principal loan Amount + Interest amount = $20,000 + $3,000 = $23,000

Answer:

neither

Step-by-step explanation:

Parallel lines need to have the same slope.

Perpendicular lines have opposite reciprocal slopes.

-5/2 and -2/5 are opposite reciprocals nor are they equal.

Answer:

5 hours

Step-by-step explanation:

217+43+43+43+43+43=432

Answer:C

Step-by-step explanation:

Answer:

Its A

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

To get the value of x, we use the mid-segment theorem of trapezoid

The theorem is that the mid-segment is half the sum of the other two segments

We have this as

;

5x - 20 = 1/2(2x + 6 + 4x + 2)

2(5x-20) = 6x + 8

5x -20 = 3x + 4

5x -3x = 4 + 20

2x = 24

x = 24/2

x = 12

Answer:

1935 that's the answer when u simplify it

Answer:

B)

Step-by-step explanation:

625:250=2.5

so i think it is B

Answer:

A 2:3

Step-by-step explanation:

625-250= 375 which is the number of boys in the school now it's 375 and 250

250:375

= 250/375

Dividing by 5/5, we have,

50/75

Again, Dividing by 5/5, we have,

10/15

Again, Dividing by 5, we have,

2/3

Hence, the ratio 250:375 in the simplest form will be 2:3

Answer:

x < - 7

Step-by-step explanation:

Given

- 3x + 4 > 25 ( subtract 4 from both sides )

- 3x > 21

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.

x < - 7

Answer:

Slopes are= 3/2, 6, -6, -1, 1/2, 1

Vertical Intercepts are= (0,5), (0,6), (0,8), (0,7), (0,-10), (0,0)

Equations= y= -6x+8         y= 1/2x-10

Step-by-step explanation:

Hope it helped!!

Answer:

The point representing the y-intercept is: (0, -3)

The black dot represents the y-intercept on the attached graph. It is very clear at y = 0, x = -3.

The point representing the x-intercept is: (10.5, 0)

The red dot represents the x-intercept on the attached graph. It is very clear at x = 0, y = 10.5

Step-by-step explanation:

Given the linear equation

-2x+7y=-21

Determining the y-intercept

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

substituting x = 0 in the equation

-2x+7y=-21

-2(0) + 7y = -21

0+7y = -21

7y = -21

divide both sides by 7

7y/7 = -21/7

y = -3

Therefore, the point representing the y-intercept is: (0, -3)

The black dot represents the y-intercept on the attached graph. It is very clear at y = 0, x = -3.

Determining the x-intercept

We know that the value of x-intercept can be determined by setting y = 0, and determining the corresponding value of x.

substituting y = 0 in the equation

-2x+7y=-21

-2x+7(0) = -21

-2x + 0 = -21

-2x = -21

divide both sides by -2

-2x / -2 = -21 / -2

x = 21/2

x = 10.5

Therefore, the point representing the x-intercept is: (10.5, 0)

The graph of the linear equation containing the y-intercept (0, -3) and x-intercept (10.5, 0) is shown and attached below.

The red dot represents the x-intercept on the attached graph. It is very clear at x = 0, y = 10.5

Please check the attached graph.

Answer;

its answer is 0.

Step-by-step explanation:

The statement that tells what the shaded numbers show is (d) The sum of two odd numbers is an even number.

From the figure, we can see that the shaded numbers are even numbers.

While the row and column number of the shaded numbers are odd numbers

This means that two odd numbers add up to an even number

Hence, the statement that tells what the shaded numbers show is (d)

Read more about numbers at:

https://brainly.com/question/251701

#SPJ2

Answer:

It is $180

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Answer:

Step-by-step explanation:

Answer:

C. 81

Step-by-step explanation:

x^2-18x+81

(x-9)(x-9)

Answer: $ 55

Step-by-step explanation:

When interest is compounded continuously, the final amount will be

[tex]A=Pe^{rt}[/tex]

When interest is compounded daily, the final amount will be

[tex]A=P(1+\dfrac{r}{365})^{365t}[/tex]

, where P= Principal , r = rate of interest , t = time

For Hunter , P= $750, r = [tex]6\dfrac{5}{8}\%=\dfrac{53}{8}\%=\dfrac{53}{800}=0.06625[/tex]

t = 18 years

[tex]A=750e^{0.06625(18)}=\$2471.48[/tex]

For London , P= $750, r = [tex]6\dfrac{1}{2}\%=\dfrac{13}{2}\%=\neq \dfrac{13}{200}=0.065[/tex]

t = 18 years

[tex]A=750(1+\dfrac{0.065}{365})^{18(365)}=\$2416.24[/tex]

Difference = $ 2471.48 - $ 2416.24 =$ 55.24≈$ 55

Hence, Hunter would have $ 55 more than London in his account .

Answer:

4x+10

Step-by-step explanation:

Answer: 4x + 10

Step-by-step explanation:

(9x + 3) - (5x - 7)

Distribute

9x + 3 - 5x + 7

Combine like terms

4x + 10

4x + 10 is the simplified version of the original expression so they're equivalent.

Edit: I made a mistake at first, then changed it to the right one. This one is correct. :)

Answer:

[tex] \frac{1}{2} 3 \\ [/tex]

Step-by-step explanation:

Your welcome

Answer:

311005.968^2

im pretty sure that is it

Step-by-step explanation:

given

as it is right angled triangle so

Let the unknown angle be x Then

90° + 40° + x = 180° ( being sum of angles of triangle)

130° + x = 180°

x = 180° - 130°

Therefore x = 50°

Hope it will help you :)❤

Answer:

The other angle will be 50°.

Step-by-step explanation:

Given that the diagram shows a right angle triangle (90°) and the total sum of angles of a triangle is 180°. In order to find the other angle, you have to subtract :

x + 40° + 90° = 180°

x + 130° = 180°

x = 180° - 130°

x = 50°

Answer:Depending on how high u do it either by 0,25,50 or 0,50,100

Step-by-step explanation: