All categories

2 years ago

Solve for Zeros by factoring 5x^2 + 13x - 6

1 answer:

7 0

$5x^2+13x-6$

Break the expression into groups:

$=(5x^2-2x)+(15x-6)$

Factor out x from : $5x^2-2x = x(5x-2)$

Factor out 3 from : $15x-6=3(5x-2)$

$=x(5x-2)+3(5x-2)$

Factor out common term $(5x-2)$

$= (5x-2)(x+3)$

hope this helps!

You might be interested in

Write a simplified polynomial expression in standard form to represent the area of the rectangle below.

Stells [14]

Answer:

$5x^{2} -18x-8$

Step-by-step explanation:

The formula for area of a rectange is lw, where l is length and w is width. Since x-4 and 5x+2 are the sides, we can multiply them together to give us the area. We do (x-4)(5x+2). We use the FOIL method (First Outside Inside Last) and get 5x^2-18x-8.

7 0

3 years ago

If your starting salary is 40,000 and you receive a 3% increase at the end of every year, what is the total amount, in dollars,

Molodets [167]

Answer:

$64188.26

Step-by-step explanation:

→ Calculate the increase in decimal multiplier

( 100 + 3 ) ÷ 100 = 1.03

→ Multiply this by the salary raised to the power of 16

40000 × ( 1.03 )¹⁶

→ Solve

$64188.26

5 0

2 years ago

Plz help ill give you brainlist

agasfer [191]

First, you need to know what a complementary angles are.
They are two angles that add up to 90 degrees.
If the number multiplied by 2 is 90, just to 90/2.
This gives you 45

8 0

3 years ago

Compound interest of $1000 is invested at 10% compounded continuously, the future value s at any time t in years is given by s=1

crimeas [40]

Answer: 6.93 years

Step-by-step explanation:

Given

Rate of interest is $r=10\%$

Future value is given by $s=1000e^{0.1t}$

For the investment to double itself, i.e. $s=2000$

$\Rightarrow 2000=1000e^{0.1t}\\\Rightarrow 2=e^{0.1t}\\\\\text{Taking log both sides}\\\\\Rightarrow \ln 2=0.1t\\\\\Rightarrow t=\dfrac{\ln 2}{0.1}\\\\\Rightarrow t=6.93\ \text{years}$

It takes around 6.93 years to double the investment.

8 0

2 years ago

Find the GCF of 4y and 12y

Marianna [84]

Answer:

Step-by-step explanation:

To find the greatest common factor of 2 numbers, factor both of the numbers:

4: 1, 2, 4

12: 1, 2, 3, 4, 6, 12

The greatest factor here in both of these lists is 4. These numbers also both have a factor of y, so you multiply those together and get 4y.

$4\times y=4y$

5 0

2 years ago