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3 years ago

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Mathematics

1 answer:

LenKa [72]3 years ago

5 0

Answer:

1. x represents the amount of hotdogs bought

2. y represents the amount of hamburgers bought

3. each coefficiant represents the price for one hotdog/hamburger

4. each term represnts the amount bought at each specific price

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a parallelogram has one side that is 4 centimeters long and one side that is 6 centimeters long. what is the perimeter of the pa

Ilia_Sergeevich [38]

Answer:

P = 20 cm

Step-by-step explanation:

The appropriate formula is P = 2W + 2L.

Here that comes to P = 2(6 cm) + 2(4 cm) = 20 cm

6 0

3 years ago

Write this algebraic expression in words 5(n-4)+7

OLEGan [10]

Answer:

Five times the difference of n and four plus seven

Step-by-step explanation:

Five times the difference of n and four plus seven

8 0

3 years ago

Read 2 more answers

A polynomial function has a root of -4 with multiplicity 4, a root of -1 with multiplicity 3, and a root of 5 with multiplicity

Ostrovityanka [42]

Using the Factor Theorem, the polynomial is given by: $f(x) = (x + 4)^4(x + 1)^3(x - 6)^6$

The graph is sketched at the end of the answer.

The <em>Factor Theorem</em> states that a polynomial function with roots $x_1, x_2, \cdots, x_n$ is given by:

$f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)$

In which a is the leading coefficient.

In this problem, the roots are:

Root of -4 with multiplicity 4, hence $x_1 = x_2 = x_3 + x_4 = -4$ .

Root of -1 with multiplicity 3, hence $x_5 = x_6 = x_7 = 3$ .

Root of 5 with multiplicity 6, hence $x_8 = x_9 = x_10 = x_11 = x_12 = x_13 = 6$

Then:

$f(x) = a(x - (-4))^4(x - (-1))^3(x-6)^6$

$f(x) = a(x + 4)^4(x + 1)^3(x - 6)^6$

Positive leading coefficient, hence $a = 1$ .

13th degree, so it is odd.

Then:

$f(x) = (x + 4)^4(x + 1)^3(x - 6)^6$

At the end of the answer, an sketch of the graph is given.

For more on the Factor Theorem, you can check brainly.com/question/24380382

5 0

3 years ago

Cos^2x+4cosx+4/cosx+2=2secx+1/secx

Lorico [155]

Answer:

$\frac{\cos^2x+4\cos x+4}{\cos x+2}=\frac{2\sec x+1}{\sec x}$

Step-by-step explanation:

To prove the given identity, we solve the left hand side and right hand side expressions and show that they are equal.

So we get $\frac{2\sec x+1}{\sec x}\\\\=\frac{2\sec x}{\sec x}+\frac{1}{\sec x}\\\\= 2+\cos x\\\\\text{since the left hand side and right hand side expression are same, so}\\\text{it verifies the identity.}$

$\text{Left hand side}=\frac{\cos^2x+4\cos x+4}{\cos x+2}\\\\\text{Here observe that the numerator is a perfect square using }\\a^2+2ab+b^2=(a+b)^2\\\text{so we get}\\\\=\frac{(\cos x+2)^2}{\cos x+2}\\\\\text{now we can cancel out one factor (cos x+2) from numerator and denominator.}\\\text{so we get}\\\\=\cos x+2\\\\\text{And similarly the right hand side gives}$

7 0

3 years ago

Adriano runs a website that helps writers write better stories. Every month, Adriano receives a subscription fee of $5 from each

Diano4ka-milaya [45]

Answer: $1,150 this month

Step-by-step explanation:

200-10 = 190

190+40 = 230

230*5 = 1,150

7 0

3 years ago