MATHEMATICS HIGH SCHOOL

Which equation is quadratic in form?6(x + 2)2 + 8x + 2 + 1 = 0
6x4 + 7x2 – 3 = 0
5x6 + x4 + 12 = 0
x9 + x3 – 10 = 0

Answers

Answer 1
Answer:

Answer:

Option A is correct

Step-by-step explanation:

We have been given four equations and we need to tell which one of them is quadratic

Case1:

6(x+2)^2+8(x+2)+1

In this we will use the formula (a+b)^2=a^2+b^2+2ab

Here, a=x and b=2

The equation will become 6(x^2+2^2+4x)+8x+16+1

Hence, after simplification equation will become

6x^2+24+24x+8x+16+1

6x^2+32x+41 which is a quadratic equation because quadratic equation is the equation is the equation which has degree 2.

In this equation degree is 2 hence, quadratic

Case2:

6x^4+7x^2-3  is not quadratic since, degree in this equation is 4 not 2

Hence, biquadratic not quadratic

Case3:

5x^6+x^4+12 is not a quadratic equation since, degree in this equation is 6.

Hence, not quadratic

Case4:

x^9+x^3-10 is not quadratic since, degree in this equation is 9

Hence, not quadratic

Therefore, Option A is correct
Answer 2
Answer: A quadratic equation is a polynomial with an order of two. Its general form is ax² + bx + c = 0. From the choices given, the first option seems to be the quadratic equation. Simplifying the equation gives 6x² + 18x + 27 = 0. 

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Answers

Answer:

A

Step-by-step explanation:

Answer:

Is A

Step-by-step explanation:

Calculate y when x = 5

Y=2x+3

Answers

Answer: y=13

Step-by-step explanation:

y=2(5)+3\nmultiply\ny=10+3\nadd\n10+3=13\ny=13

y=13

Step-by-step explanation:

given that,

x=5

to find,

y=2x+3, when x=5

substitute 5 in the place of "x" we get,

y=2×5+3

according to BODMAS rule( bracket of division multiplication addition and subtraction) first we have to multiply 5 with 2 and then add the product with 3 we get,

y=10+3

y=13

Whats the integral of 1/X

Answers

F(x) = \int\limits (1)/(x) dx =\int\limits x^-^1 dx \n f(x) = \int\limits x^-^1dx = (1)/(0) X^0

= f(x) = \int\limits X^-^1dx = In|x|
$\left(\ln(|x|)\right)'=\frac{1}x$ hence \int\frac{1}xdx=\ln |x|

Draw a quick picture for 37 . Draw to show how you would subtract 19 from 37 write to explain what you did

Answers

Answer:


Step-by-step explanation:

To Find :  Draw to show how you would subtract 19 from 37 write to explain what you did

Refer figure

Total no. of triangles = 37

No. of pink triangles = 19

Total triangles - no. of pink triangles = no. of purple triangles

⇒37-19=18

Thus the attached figure shows how would subtract 19 from 37
Draw 37 circles and then use / slashes and cross out 19 of those circles

Alan is at an ice cream shop. The shop offers three types of cones (regular, waffle, and chocolate), and two flavors of ice cream (chocolate and strawberry).The ice cream shop has a special on a random cone and ice cream flavor picked by a computer program. What is the probability that Alan will get waffle cone with strawberry ice cream if he asks for the special? (Round the answers to the nearest hundredth.)

Answers

Answer:

0.17

Step-by-step explanation:

There is a  1 in 6 chance.

At a benefit concert, fourteen bands have volunteered to perform but there is only enough time for six of the bands to play. How many lineups are possible?

Answers

There are 2,162,160 possible combination that could be made if there are 14 bands and only 6 slots available. This is computed using factorial. By using factorial we first need to identify the number of band and the number of slots available. It could be express as 14! - 8! or 14 x 13 x 12 x 11 x 10 x 9, which is equal to 2,162,160 combination.
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