Determine the factors of 5x2 + 29x _ 6

Answers

Answer 1

Answer: The answer is (x + 6)(5x - 1).

5x² + 29x - 6 = 5x² + 30x - x - 6 =
= (5x · x + 5x · 6) - (x + 6) =
= 5x(x + 6) - 1(x + 6) =
= (x + 6)(5x - 1)

Answer 2

Answer:

Answer:

The factors of given equation $5x^2+29x-6$ is $(5x-1)(x+6)$

Step-by-step explanation:

Given equation $5x^2+29x-6$

We have to determine the factors of given equation.

Quadratic equation is an equation with highest degree 2.

Consider the given quadratic equation $5x^2+29x-6$

We can solve the quadratic equation $5x^2+29x-6$ using middle term splitting method.

splitting middle term can be done by writing middle term in such a way that the product of coefficient is the product of remaining two terms.

29x can be written as 30x-1x

$\Rightarrow 5x^2+29x-6$

$\Rightarrow 5x^2+30x-x-6$

Taking 5x common from first two terms and -1 from last two terms , we have,

$\Rightarrow 5x(x+6)-1(x+6)$

$5x^2+29x-6=(5x-1)(x+6)$

Thus, the factors of given equation $5x^2+29x-6$ is $(5x-1)(x+6)$

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The length of the wing of an insect in a picture is 4 cm. The scale of the picture is 20:1. What is the real length of the insect’s wing?

Answers

If you would like to know the real length of the insect's wing, you can calculate this using the following steps:

1/20 of 4 cm = 1/20 * 4 = 4/20 = 1/5 cm = 0.2 cm

The correct result would be 0.2 cm.

0.2cm
Working;
Since the picture is a magnification of the insect, the real insect is smaller than the picture

If 20cm on the picture is equivalent to 1 cm of the real insect, then;
$(4*1)/(20) =0.2cm$

What is the slope of the line 12x+4y=24?

Answers

$12x+4y=24\ \ \ \ /-12x\n\n4y=-12x+24\ \ \ \ /:4\n\ny=(-12)/(4)x+(24)/(4)\n\ny=-3x+6\n\nAnswer:the\ slope\ is\ m=-3$

$12x+4y=24 \n \n the \ slope \ intercept \ form \ is : \n \n y= mx +b \n \n 4y =-12x+24 \ \ / :4 \n \ny=-(12)/(4)x+(24)/(6)\n \ny=-3x+ 4 \n \nAnswer : \ the \ slope \ m =-3$

An automobile designer is considering three body designs, five hood designs, and three fender designs. How many models would be required to show all possible ways of combining the designs?45
42
11

Answers

The right answer for the question that is being asked and shown above is that: "42." An automobile designer is considering three body designs, five hood designs, and three fender designs. There are 42 models would be required to show all possible ways of combining the designs

I'm pretty sure its 45

Chelsea made monthly payments for four years before her $13,440 loan was paid off. The loan had an interest rate of 5.86%, compounded monthly. Chelsea paid $156.60 in service charges. To the nearest tenth, what percentage of the total cost of the loan did her finance charges comprise? Round all dollar values to the nearest cent.

Answers

Given:
PV = 13,440
i = 5.86% , compounded monthly
t = 4 years

13,440(0.0586/12))/(1-(1+0.0586/12)^-48= 15,109.44
15,109.44 + 156.60 = 15,266.04
15,266.04 - 13,440.00 = 1,826.04
1,826.04/15,266.04 = 11.96 % Percentage total of Finance Charge of the total loa

Answer: 11.9%

Step-by-step explanation:

What are two other words used for hypotenuse

Answers

Answer:

flank right-angled triangle right triangle

Step-by-step explanation:

Answer:

solo la conosco como ipotenuza

Step-by-step explanation:

during a bike challenge, riders have to collect various colored ribbons. each 1/2 mile they collect a red ribbon, each 1/8 mile they collect a green ribbon, and each 1/4 mile they collect a blue ribbon. which colors of ribbons will be collected at the 3/4 mile marker?

Answers

The correct answer is:
green and blue.

Explanation:
We want to see which fractions $(3)/(4)$ is a multiple of. We know that $(3)/(4)$ is a multiple of $(1)/(4)$ , because $(1)/(4)$ *3= $(3)/(4)$ .

We can divide fractions to determine if $(3)/(4)$ is a multiple of $(1)/(2)$ :
$( (3)/(4))/( (1)/(2))$ ;

in order to divide fractions, flip the second one and multiply:
$(3)/(4)$ )* $(2)/(1)$ = $(6)/(4)$ =1 $(1)/(2)$ .
This did not divide evenly, so $(3)/(4)$ is not a multiple of 1/2.

Checking to see if $(3)/(4)$ is a multiple of $(1)/(8)$ , $( (3)/(4))/( (1)/(8))$ ;

flip the second one and multiply:
$(3)/(4)$ * $(8)/(1)$ = $(24)/(4)$ =6.
This divided evenly, so $(3)/(4)$ is a multiple of $(1)/(8)$ .

Answer: Hello there!

As we know, each 1/2 mile there is a red ribbon, each 1/8 mile there is a green ribbon, and each 1/4 mile there is a blue ribbon.

We want to know which color of ribbons is in the 3/4 mile marker.

then we need to see if 3/4 is a multiple of some of the previous numbers.

Start with the red ribbons, we need to see the quotient between 3/4 and 1/2, if the result is a whole number, then 3/4 is a multiple of 1/2

this is q = (3/4)/(1/2) = (3/4)*2 = 6/4

here we haven't a whole number, then there is no red ribbon at the 3/4 mile marker.

now with the green ones:

(3/4)/(1/8) = (3/4)*8 = 24/4 = 6

there we have a whole number, this means that at the 3/4 mile marker, we will see the sixth green ribbon, then we have a green ribbon in this marker.

now with the blue:

(3/4)/(1/4) = (3/4)*4 = 3

At the 3/4 mile marker, we will see the third blue ribbon, then there is a blue ribbon in this marker.

Then we know that in the 3/4 mile marker, there are a green and a blue ribbon.

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