All categories

4 years ago

How to Factor 4p^2+4p-5

Mathematics

1 answer:

Anarel [89]4 years ago

7 0

4p^2 + 4p - 5

As the expression cannot be factored in it's current form, we need to check if splitting the middle term is possible.

List factors of -20.

-5 * 4

5 * -4

-10 * 2

10 * -2

-20 * 1

20 * -1

None of the factors added together result in positive 4.

Because splitting the middle term is not possible, and we cannot simplify this expression any further:

This expression cannot be fully factored.

You might be interested in

Let f(x) = x^2 + 6x.

rusak2 [61]

Answer:

(A) The slope of secant line is 18.

(B) The slope of secant line is h+16.

Step-by-step explanation:

(A)

The given function is

$f(x)=x^2+6x$

At x=3,

$f(3)=(3)^2+6(3)=27$

At x=9,

$f(9)=(9)^2+6(9)=135$

The secant line joining (3,27) and (9,135). So, the slope of secant line is

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{135-27}{9-3}=18$

The slope of secant line is 18.

(B)

The given function is

$f(x)=x^2+6x$

At x=5,

$f(5)=(5)^2+6(5)=55$

At x=5+h,

$f(5+h)=(5+h)^2+6(5+h)=h^2 + 16 h + 55$

The secant line joining (5,55) and $(5+h,h^2 + 16 h + 55)$ . So, the slope of secant line is

$m=\dfrac{h^2 + 16 h + 55-55}{5+h-5}$

$m=\dfrac{h^2 + 16 h }{h}$

$m=h+16$

The slope of secant line is h+16.

4 0

4 years ago

Y-intercept = (0, 2) slope = -3/7 what is the equation?

Marianna [84]

Answer:

y = -(3/7)x + 2

Step-by-step explanation:

(see attached)

recall that the slope-intercept form of a linear equation is

y = mx + b

where m = slope = given as -(3/7)

and b = y-intercept = 2

substituting these values into the eqation:

y = mx + b

y = -(3/7)x + 2

8 0

3 years ago

In The Diagram, P, Q, R, Are Points On The Circle With Centre 0 And Diameter 14cm. Angle PQR=35 Degree. Find, Correct To One De

patriot [66]

Answer:

Step-by-step explanation:

because the diagram the length decimal place degree

8 0

3 years ago

Can someone help me with this problem [-64x(-5)-2x(3)]

galina1969 [7]

The answer is 314
(^o^)

5 0

4 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20Simplify%3A%20%5C%3A%2018%20%5Cdiv%2016%20%2B%20%5B8%20%5C%7B16%20%5Cdiv%20%2810%20-%20%5Co

tester [92]

<h3>Simplify :</h3>

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div \bigg(10 - \overline{8 - 2 } \bigg)\bigg\} \bigg]}}}}$

Simplifying vinculum bar 

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div \bigg(10 - \overline{8 - 2 } \bigg)\bigg\} \bigg]}}}}$

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div \bigg(10 - 6\bigg)\bigg\} \bigg]}}}}$

Simplifying parentheses brackets

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div \bigg(10 - 6\bigg)\bigg\} \bigg]}}}}$

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div 4\bigg\} \bigg]}}}}$

Simplifying curly brackets 

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div 4\bigg\} \bigg]}}}}$

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{ \dfrac{16}{4} \bigg\} \bigg]}}}}$

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{ \cancel{\dfrac{16}{4}} \bigg\} \bigg]}}}}$

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \times 4\bigg]}}}}$

Simplifying square brackets 

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \times 4\bigg]}}}}$

${:\implies{\small{\sf{18 \div 16 + 32}}}}$

According to BODMAS rule simplifying devision 

${:\implies{\small{\sf{18 \div 16 + 32}}}}$

${:\implies{\small{\sf{ \dfrac{18}{16} + 32}}}}$

${:\implies{\small{\sf{{\cancel{\dfrac{18}{16}} + 32}}}}}$

${:\implies{\small{\sf{ 1.125 + 32}}}}$

Now, according to BODMAS rule simplifying addition

${:\implies{\small{\sf{ 1.125 + 32}}}}$

${:\implies{\small{\sf{33.125}}}}$

${:\implies{\underline{\boxed{\pmb{\sf{Answer = 33.125}}}}}}$

∴ The answer is 33.125.

 $\underline{\rule{200pt}{2.5pt}}$ 

3 0

2 years ago

Read 2 more answers