What percentage of the data values are greater than 75""

In the expression (ax+b)*(cx^2+dx+e), find two set of values of a,b,c,d and e so that the coefficient of x^3and x terms after ex

Brilliant_brown [7]

Answer:

2, 0, 2, 3, 5

1, 2, 4, 0, 5

Step-by-step explanation:

(ax + b)(cx² + dx + e)

acx³ + adx² + aex + bcx² + bdx + be

2(2)x³ + 2(3)x² + 2(5)x + 0 + 0 + 0

4x³ + 6x² + 10x

a = 2

b = 0

c = 2

d = 3

e = 5

1(4)x³ + 1(0)x² + 1(10)x + 2(4)x² + 0 + 10

4x³ + 8x² + 10x + 10

a = 1

b = 2

c = 4

d = 0

e = 5

7 0

2 years ago

What are the solutions to the quadratic equation (5y +6) 2= 24?

boyakko [2]

Answer:

$y=-2.18,-0.22$

Step-by-step explanation:

We have been given the equation

$(5y+6)^2=24$

Take square root both sides. When ever we take square root, we include plus minus sign

$\sqrt{(5y+6)^2}=\pm\sqrt{24}\\\\5y+6=\pm2\sqrt6$

Now, subtract 6 to both sides of the equation

$5y=-6\pm2\sqrt6$

Divide both sides by 5

$y=\frac{1}{5}(-6\pm2\sqrt6)$

$y=\frac{1}{5}(-6+2\sqrt6),y=\frac{1}{5}(-6-2\sqrt6)$

In decimal we have

$y=-2.18,-0.22$

3 0

3 years ago

Gustavo and yuki were asked to find an explicit formula for the sequence 19, 0, -19, -38...

KiRa [710]

Answer:

<h2>Neither Gustavo nor Yuki</h2>

Step-by-step explanation:

It's an arithmetic sequence.

$0-19=-19\\-19-0=-19\\-38-(-19)=-38+19=-19$

The difference is constant.

The explicit formula of an arithmetic sequence:

$a_n=a_1+(n-1)d$

Substitute:

$a_1=19,\ d=-19$

$a_n=19+(n-1)(-19)$ <em>use distributive property</em>

$a_n=19-19n+19\\\\a_n=(19+19)-19n\\\\a_n=38-19n$

4 0

3 years ago

The lengths of the sides of a triangle are x, 2x + 1, 5x + 4 inches. If the perimeter is 53 inches, what is thevalue of x?

satela [25.4K]

Answer: 6

Explanation:

x + 2x + 1 + 5x + 4 = 53
8x + 5 = 53
8x = 48
x = 6

5 0

3 years ago

Write each number as a logarithm with base 2:-3

expeople1 [14]

The number -3 written as a logarithm with a base of 2 is log₂(0.125) or log₂(1/8)

<h3>What are logarithms?</h3>

As a general rule, logarithms are mathematical expressions that are written in the form log(x) or ln(x), for natural logarithms

<h3>How to rewrite the number as a logarithm?</h3>

The number is given as:

x = -3

The base of the logarithm is given as:

Base = 2

To rewrite the given number as a base of 2, we take the exponent of the number where the base is 2

This is represented as:

Number =2^-3

Apply the power rule of indices

Number =1/2^3

Evaluate the exponent

Number = 1/8

Evaluate the quotient

Number = 0.125

Hence, when the number -3 is rewritten as a logarithm with base 2, the equivalent logarithm expression is log₂(0.125) or log₂(1/8)