All categories

2 years ago

Find the factorization of x2 = 5x + 4.

Mathematics

1 answer:

Nataly_w [17]2 years ago

6 0

Step-by-step explanation:

x²=5x+4

x²-5x-4=0
x²-x+4x-4
x(x-1)+4(x-1)
(x_1)(x+4)

hope it helps.

You might be interested in

Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your

Darina [25.2K]

Answer:

Given definite integral as a limit of Riemann sums is:

$\lim_{n \to \infty} \sum^{n} _{i=1}3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]$

Step-by-step explanation:

Given definite integral is:

$\int\limits^7_4 {\frac{x}{2}+x^{3}} \, dx \\f(x)=\frac{x}{2}+x^{3}---(1)\\\Delta x=\frac{b-a}{n}\\\\\Delta x=\frac{7-4}{n}=\frac{3}{n}\\\\x_{i}=a+\Delta xi\\a= Lower Limit=4\\\implies x_{i}=4+\frac{3}{n}i---(2)\\\\then\\f(x_{i})=\frac{x_{i}}{2}+x_{i}^{3}$

Substituting (2) in above

$f(x_{i})=\frac{1}{2}(4+\frac{3}{n}i)+(4+\frac{3}{n}i)^{3}\\\\f(x_{i})=(2+\frac{3}{2n}i)+(64+\frac{27}{n^{3}}i^{3}+3(16)\frac{3}{n}i+3(4)\frac{9}{n^{2}}i^{2})\\\\f(x_{i})=\frac{27}{n^{3}}i^{3}+\frac{108}{n^{2}}i^{2}+\frac{3}{2n}i+\frac{144}{n}i+66\\\\f(x_{i})=\frac{27}{n^{3}}i^{3}+\frac{108}{n^{2}}i^{2}+\frac{291}{2n}i+66\\\\f(x_{i})=3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]$

Riemann sum is:

$= \lim_{n \to \infty} \sum^{n} _{i=1}3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]$

4 0

3 years ago

Which expression represents 7 less than the product of 11 and 4 .

ryzh [129]

The answer is (4x11)-7 i believe

3 0

2 years ago

8) A rectangle measuring 25cm long and 4cm wide has the SAME AREA as a square.

MakcuM [25]

Answer:

Step-by-step explanation:

The area of the rectangle is 100cm, so if the area of the square is the same as the rectangle, then the side of the square would be 10. 10 x 10 is 100.

(I'm sorry if my explanation sucks)

8 0

2 years ago

What is the simple formula for the nth term of the following arithmetic sequence?

uysha [10]

It's +4 because each if those numbers increases by 4. Hope this helped:)

4 0

3 years ago

Which graph shows the solution to the equation log2 (3x – 1) = 2?

MrRa [10]

the answer is graph b on edg.

3 0

2 years ago

Read 2 more answers