All categories

2 years ago

Factor the trinomial: 5x^2+41x+42

Mathematics

2 answers:

bogdanovich [222]2 years ago

6 0

Answer:

(5x+6)(x+7)

Step-by-step explanation:

Factor the expression by grouping. Expression needs to be rewritten as 5x

2 +ax+bx+42.

To find a and b

a+b=41

ab=5×42=210

Since ab is positive, a and b have the same sign. List all such integer pairs that give product 210.

1,210

2,105

3,70

5,42

6,35

7,30

10,21

14,15

Calculate the sum for each pair.

1+210=211

2+105=107

3+70=73

5+42=47

6+35=41

7+30=37

10+21=31

14+15=29

The solution is the pair that gives sum 41.

a=6

b=35

Rewrite 5x

2 +41x+42 as (5x^2 +6x)+(35x+42).

Factor out x in the first and 7 in the second group.

x(5x+6)+7(5x+6)

Factor out common term 5x+6 by using distributive property.

(5x+6)(x+7)

babunello [35]2 years ago

5 0

Answer:

(5x + 6) (x + 7)

Step By Step Explanation:

Use the sum form to the product.

You might be interested in

PLEASE HELP!! Make sure to give exact coordinates.

Nikolay [14]

(1,5) (2,10) (3,15) (4,20) (5,25) (6,30) (7,35) (8,40) until she sells out.

3 0

3 years ago

When peanuts are packaged in their shells, most shells have two peanuts inside, but some have three and some only have one. A qu

Oduvanchick [21]

Answer:

H0: p = 0.1 and Ha: p > 0.1

Step-by-step explanation:

At the null hypothesis, we test if the mean or proportion is equal to a certain value.

At the alternate hypothesis, we test if the mean or proportion is less than, more than, or different of the value tested at the null hypothesis.

A quality control inspector wants to determine if more than 10% of all shells contain just one peanut.

The value of 10% = 0.1 is tested, which means that the null hypothesis is $H_{0}: p = 0.1$

Test if it is more than 10% = 0.1, so the alternate hypothesis is: $H_{a}: p > 0.1$

4 0

3 years ago

Absolute 10.7 of percent 11

leva [86]

Answer: = 11.88

This is a 3 step / 4 show workings.

10.7 + Percentage increase = 11%

10.7 + (11% × 10.7) = 10.7 + 11% × 10.7

(1 + 11%) × 10.7 = (100% + 11%) × 10.7

111% × 10.7 = 111 ÷ 100 × 10.7

111 × 10.7 ÷ 100 = 1,187.7 ÷ 100

11.877 ≈ 11.88

5 0

2 years ago

Convert the polar coordinates (3, -5 pi/3). to rectangular coordinates.

beks73 [17]

Answer:

See below

Step-by-step explanation:

x = 3 cos (-5pi/3) = 1.5

y = 3 sin (-5pi/3) = 2.598

6 0

2 years ago

Cuanto es la raíz cuadrada de 3

marshall27 [118]

La raíz cuadrada de 3 es 1.73

7 0

3 years ago