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3 years ago

Solve by completing the square x^2-10x-24=0

Mathematics

1 answer:

Elanso [62]3 years ago

7 0

Answer:

x = -2 and x =12

Step-by-step explanation:

Explanation:-

Given equation x² - 10 x - 24=0

x² - 12 x +2x - 24 =0

⇒ x (x-12) +2( x -12) =0

⇒ x+2 =0 and x-12 =0

x = -2 and x =12

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A shipping company charged $15 to ship a package and 5% to insure the package. What was the total cost to ship this particular i

Crank

The shipping would be 15.75 because 5% of 15 is 0.75, so add 15 to 0.75 and the answer is 15.75 :)

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3 years ago

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2x^3-x^2+x-2 factorize

bekas [8.4K]

Answer:

$(x-1)(2x^2+x+2)$

Step-by-step explanation:

Factorize:

$f(x)=2x^3-x^2+x-2$

Factor Theorem

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

$\implies f(1)=2(1)^3-1^2+1-2=0$

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

$\implies f(x)=(x-1)(ax^2+bx+c)$

Expanding the brackets:

$\implies f(x)=ax^3+bx^2+cx-ax^2-bx-c$

$\implies f(x)=ax^3+(b-a)x^2+(c-b)x-c$

Comparing coefficients with the original polynomial:

$\implies ax^3=2x^3 \implies a=2$

$\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1$

$\implies -c=-2 \implies c=2$

Therefore:

$\implies f(x)=(x-1)(2x^2+x+2)$

Cannot be factored any further.

4 0

2 years ago

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Estimate the value of 68x401÷198

Soloha48 [4]

Round all of the numbers to the nearest 10 then solve the problem like normal

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3 years ago

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PLSSSSS HELP I HAVE BEEN STUCK ON THIS FOR THE PAST HOUR!!!!!!!!!!!!!!!!!!!!!!!!!

vladimir1956 [14]

Answer:

$- 6 \sqrt{2}$

Step-by-step explanation:

simplify

$\sqrt{28800}$

$120 \sqrt{2}$

then

-0.05 × 120 = -6

then we have our answer

-6√2

6 0

2 years ago

The question is below thanks

Paha777 [63]

Answer:

FH ~ 10.02

Step-by-step explanation:

1. Approach

One should first find the circumference of the given circle. Then one should find how large the fraction of the circumference one is supposed to find is. Finally, one should multiply the fraction of the circumference one is supposed to find by the total circumference.

2. Circumference of the circle

The formula for circumference is;

$2r$ π

Substitute in the given values;

It is given that the radius is, hence

2 (7) π

14π

3. Find the fraction of the circumference one is supposed to find

It is given that the angles over the measure of the total degrees of angles in a circle are equal to the arc surrounding the angles of the circumference. Essentially;

$\frac{angles}{360}=\frac{arc}{circumference}$

Substitute in the given information and solve;

$\frac{82}{360}=\frac{arc}{14pi}$

arc = $\frac{41}{180}*14pi$

arc = $\frac{287}{90}*pi$

arc ~ 10.02

3 0

2 years ago