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3 years ago

Can yall please help me with my Math homework , profit and loss

Mathematics

1 answer:

worty [1.4K]3 years ago

4 0

SURE! IM WELLING TO HELP YOU ^_^

Step-by-step explanation:

I'm here to help you to do that Math homework:) Where is it?

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What are the steps to solve the quadratic equation x^2+4x-6=0

makvit [3.9K]

$METHOD\ 1:\\\\Use:\\\\(*)\qquad(a+b)^2=a^2+2ab+b^2\\---------------------\\\\x^2+4x-6=0\qquad\text{add 6 to both sides}\\\\x^2+4x=6\\\\x^2+2(x)(2)=6\qquad\text{add}\ 2^2\ \text{to both sides}\\\\\underbrace{x^2+2(x)(2)+2^2}_{(*)}=6+2^2\\\\(x+2)^2=6+4\\\\(x+2)^2=10\Rightarrow x+2=\pm\sqrt{10}\qquad\text{subtract 2 from both sides}\\\\\boxed{x=-2-\sqrt{10}\ \vee\ x=-2+\sqrt{10}}$

$METHOD\ 2:\\\\\text{use the quadratic formula:}\\\\ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\if\ \Delta>0,\ \text{the equation has two solutions}\ x=\dfrac{-b\pm\sqrt\Delta}{2a}\\\\if\ \Delta=0,\ \text{then the equation has one solution:}\ x=\dfrac{-b}{2a}\\\\if\ \Delta$

$x^2+4x-6=0\\\\a=1,\ b=4,\ c=-6\\\\\Delta=4^2-4(1)(-6)=16+24=40>0\\\\\sqrt\Delta=\sqrt{40}=\sqrt{4\cdot10}=\sqrt4\cdot\sqrt{10}=2\sqrt{10}\\\\x_1=\dfrac{-4-2\sqrt{10}}{2(1)}=\dfrac{-4}{2}-\dfrac{2\sqrt{10}}{2}=-2-\sqrt{10}\\\\x_2=\dfrac{-4+2\sqrt{10}}{2(1)}=\dfrac{-4}{2}+\dfrac{2\sqrt{10}}{2}=-2+\sqrt{10}$

7 0

3 years ago

Please please help please please ASAP please I'm begging you please I have 10 minutes please y'all help please any ACE that can

Andreyy89

Answer:

Angle S

Step-by-step explanation:

The two triangles are similar, with the reason of (corr. angles, similar triangles), we get that angles S = angle N

3 0

3 years ago

At Best Buy they have a 60" TV that sells for $1250 and is on sale for 15% off. If the sales tax is 6.5%, what is the final cost

NNADVOKAT [17]

Answer:

Step-by-step explanation:

The sale price = Initial Cost - 15% of the initial Cost

The sale price = 1250 - 15/100 * 1250

The sale price = 1250 - 187.5

The Sale Price = 1062.5

Now you add on the sales tax

Cost with Sales Tax = 1062.50 + 6.5/100 * 1063

Cost with Sales Tax = 1062.50 + 69.06

Cost with Sales Tax = 1131.56 dollars.

7 0

3 years ago

Evaluate the function when x = -1, 5, -10 *

postnew [5]

Step-by-step explanation:

f(x) = | x² - x + 3 |

f(-1) = |(-1)² - (-1) + 3| = |1 + 1 + 3| = |5| = 5

f(5) = |(5)² - (5) + 3| = |25 - 5 + 3| = |23| = 23

f(-10) = |(-10)² - (10) + 3| = |100 - 10 + 3| = |93| = 93

4 0

3 years ago

One container holds 1 1/7 quarts of water and second container holds 5 3/4 quarts of water how many more harts of water does the

Anna007 [38]

Answer:

129/28 (4.6 approx.)

Step-by-step explanation:

The first hols 1 1/7 quarts, it is: 1 + 1/7

Using 7 as common denominator and summing:

1 + 1/7 = 7/7 + 1/7 = 8/7

The second holds 5 3/4 which is: 5 + 3/4. Using 4 as common denominator:

5 + 3/4 = 20/4 + 3/4 = 23/4

Now we need to know how much greater is 23/4 than 8/7. For comparing them we need to set them to a common denominator. The easiest way is use a number that is multiple of both, 4 and 7, lets us 28. We need to multiply the numerators by the number that, multiplied by denominators gives us 28. For the first is 4, and for the second 7.

8/7 = (8*4)/7*4=32/28

23/4= (23*7)/4*7 = 161/28

Now, we only have to subtract:

23/4 - 8/7 = 161/28 - 32/28 = 129/28

So, the second container has 129/28 more quarts of water (approx. 4.60) than the first.

3 0

4 years ago

Can yall please help me with my Math homework , profit and loss​

Can yall please help me with my Math homework , profit and loss