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3 years ago

1. A teacher asked the students to create a formula for the sequence 5, 8, 11, 14, ...

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

5 0

Good evening ,

Answer:

Is his formula correct and how do you know : Yes

Is it an explicit or recursive formula : explicit

Step-by-step explanation:

an = a1 + (n-1)r

a1 = 5

r = 8-5 = 3

Then an = 5 + 3(n-1).

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p is a polynomial of degree 5. p has roots of multiplicity 2 at t=4 and t=0, a root of multiplicity 1 at t=-4, and p(1)=2025. Fi

DENIUS [597]

P(x) = (x^2)(x - 4)^2(x + 4) + some constant(b)
2025 = (1^2)(1 - 4)^2(1 + 4) + b
2025 = 45 + b
b = 1980

Complete Equation:

p(x) = (x^2)(x - 4)^2(x +4) + 1980

or expanded form

p(x) = x^5 - 4x^4 - 16x^3 + 64x^2 + 1980

5 0

3 years ago

The area of a playing card is 48 square centimeters. It is 8 centimeters tall. How wide is it?

il63 [147K]

Answer:6

Step-by-step explanation:

Area of a rectangle = length × width

Length = 8

Breadth = ?

Area = 48

L × B = Area

8 × B = 48

Divide both sides by 8

B = 48 ÷ 8

B = 6

3 0

2 years ago

Please help Fr pleased I’m begging you

andreyandreev [35.5K]

Answer:

y = $\frac{3}{8}$ x - 2

Step-by-step explanation:

The answer to this problem is a simple plug-in of the given values into the slope-intercept formula.

Slope intercept formula: y = mx + b

(m = slope)

(b = y intercept)

If the equation has a slope of m = $\frac{3}{8}$ , then the slope-intercept form would be:

y = $\frac{3}{8}$ x

If the y-intercept of an equation is (0 , -2), then the slope intercept form would be:

y = mx - 2

Putting both of these values into an equation would give option A:

y = $\frac{3}{8}$ x - 2

6 0

3 years ago

I need help so much please help the attachment below is the question i need help on

leonid [27]

Answer:

$\dfrac{\sqrt[12]{55296}}{2}$

Step-by-step explanation:

Rationalize the denominator, then use a common root for the numerator.

$\dfrac{\sqrt[4]{6}}{\sqrt[3]{2}}=\dfrac{(2\cdot 3)^{\frac{1}{4}}}{2^{\frac{1}{3}}}\\\\=\dfrac{(2\cdot 3)^{\frac{1}{4}}}{2^{\frac{1}{3}}}\cdot\dfrac{2^{\frac{2}{3}}}{2^{\frac{2}{3}}}=\dfrac{2^{\frac{1}{4}+\frac{2}{3}}3^{\frac{1}{4}}}{2}\\\\=\dfrac{2^{\frac{11}{12}}3^{\frac{3}{12}}}{2}=\dfrac{\sqrt[12]{2^{11}3^{3}}}{2}\\\\=\dfrac{\sqrt[12]{55296}}{2}$

3 0

3 years ago

Find the dot product of u and v. u=(7,15) v = (-5,2)

nignag [31]

Answer:

A.... -5

Step-by-step explanation:

-35 + 30 = -5

5 0

3 years ago