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3 years ago

Is y + 5x^2=-4 a quadratic function? yes or no

Mathematics

2 answers:

devlian [24]3 years ago

7 0

Answer:

Yes

Step-by-step explanation:

In standard form, this function is written as:

$y = - 5 {x}^{2} - 4$

Because it has the parent function of:

$y = {x}^{2}$

It is a quadratic function.

Arlecino [84]3 years ago

5 0

Answer: Yes

Step-by-step explanation:

When you rearrange the equation it would be y=-5x^2-4, and since it is a 2nd degree we can easily say it is a quadratic function.

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PLEASE ANSWER

oksano4ka [1.4K]

Answer:

x² + 9x + 8 = (x + 1)(x + 8)

x² + 9x + 8 = (x + 8)(x + 1)

Step-by-step explanation:

* Lets explain how to factorize the polynomial using the pattern

- The form of the quadratic polynomial is x² + px + q, where p is the

coefficient of x and q is the numerical term

∵ x² + (a + b)x + (ab) = (x + a)(x + b)

- From the formula above the coefficient of x is the sum of the two

factors a and b

∴ p = a + b and q = ab

- That means p is the sum of two numbers and q is the product of

the same numbers

* Lets solve the problem

∵ x² + 9x + 8 is a quadratic polynomial

∵ x² + px + q is the form of quadratic polynomial

∴ p = 9 and q = 8

∵ p = a + b and q = ab

∴ a + b = 9 ⇒ (1)

∴ ab = 8 ⇒ (2)

- We must to find two numbers their product is 8 and their sum is 9

∵ The possibility of 8 as a product of two numbers is:

2 × 4 OR 1 × 8

∵ The sum of 1 + 8 = 9

∴ The value of a and b are 1 and 8

- It does't matter which of them = 1 or which of them = 8

∴ x² + (a + b)x + ab = x² + (1 + 8)x + (1)(9)

∵ x² + (a + b)x + (ab) = (x + a)(x + b)

∴ x² + (1 + 8)x + (1)(9) = (x + 1)(x + 8)

∴ x² + 9x + 8 = (x + 1)(x + 8)

- OR

∴ x² + 9x + 8 = (x + 8)(x + 1)

3 0

3 years ago

The ratio of the number of people who own a smartphone to the number of people who a flip phone is 5:3. If 600 more people own a

Anuta_ua [19.1K]

Answer:

900

Step-by-step explanation:

The ratio of the number of people who own a smartphone to the number of people who a flip phone is 5:3.

Let the number of people who own a flip phone=x

If 600 more people own a smartphone than a flip phone, then the number of people who own a smartphone=x+600

To find x, we express the ratio and population as an equality.

5:3=x+600:x

Expressing the ratios as fractions would give:

$\dfrac{5}{3}=\dfrac{x+600}{x}$

Next, we cross multiply

5x=3(x+600)

Open the brackets by expansion.

5x=3x+(3 X 600)

5x=3x+1800

Subtract 3x from both sides.

5x-3x=3x-3x+1800

2x=1800

Divide both sides by 2

x=900.

Since x=900, the number of people who own a flip phone is 900.

7 0

3 years ago

Can someone please help this is due in 15 minutes.

son4ous [18]

Answer:

It's 128 or 256 but I'm pretty sure it's 128

Step-by-step explanation:

To calculate actual area based on a scale drawing, take each of the original dimensions and multiply them by the scale factor to get the actual dimensions. Then, use your knowledge of geometric figures to calculate the enlarged or reduced area

8 0

3 years ago

Which expression is equivalent to (4x^3 y^5)(3x^5 y)^2

Bond [772]

Answer:

The expression equivalent to (4x^3 y^5)(3x^5 y)^2 is 36x^13y^7...

Step-by-step explanation:

The expression is:

(4x^3 y^5)(3x^5 y)^2

First look at the second expression:

(3x^5 y)^2 = (3)^2 (x^5)^2 (y)^2

(3x^5 y)^2 = 9x^10y^2

Now we will multiply the expression:

(4x^3 y^5) (9x^10y^2)

(4*9)(x^3 * x^10) (y^5 * y^2)

We know that the exponents with same base will be added together.

36x^3+10 y^5+2

36x^13y^7

Thus the expression equivalent to (4x^3 y^5)(3x^5 y)^2 is 36x^13y^7....

3 0

4 years ago

In the diagram, which angle is the angle of depression?

daser333 [38]

B. angle DEG

you can think of the angle of depression as the angle that is "facing down" when you bisect it

hope this helps

8 0

2 years ago

Read 2 more answers

Is y + 5x^2=-4 a quadratic function? yes or no​

Is y + 5x^2=-4 a quadratic function? yes or no