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12345 [234]
3 years ago
14

Solve by factorising x^2 + 8x + 15 = 0

Mathematics
1 answer:
Nutka1998 [239]3 years ago
3 0

Answer:

See below

Step-by-step explanation:

x² + 8x + 15 = 0

x² + 5x + 3x + 15 = 0

x x (x + 5) + 3x + 15 = 0

xx (x + 5) +3 (x + 5) = 0

(x + 5) × (x + 3) = 0 → x + 5 = 0       x + 3 = 0

x = -5

x + 3 = 0

x = -5

x = -3

x1 = -5

x2 = -3

Hope this helped ! :)

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Woodland Bicycles makes two models of off-road bicycles: the Explorer, which sells for $250, and the Grande Expedition, which se
elena-s [515]

Answer:


Step-by-step explanation:

Let X be number of woodland bicyles and Y grande expedition

Our objective is to maximize profit

Z = 250x+350Y

Constraints are:  2x+3y<450 and

x+y<375

(given)

Solution gives negative y. Hence intersecting point is not within constraint.

So choices satisfying the constraints would be min of 225, 375 for x and min of 150,375 for x

i.e x=225 and y =150

To maximize revenue 225 Woodland and 150 Grande to be produced


4 0
3 years ago
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What is the factored form of the expression 9x^2 + 6x +1
liraira [26]

Answer:

(3x+1)^2

Step-by-step explanation:

4 0
3 years ago
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What is the distance between 3, 5 and -4, 1
USPshnik [31]

Answer:

Distance = 8.06

Step-by-step explanation:

We have to use the distance formula d=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2}  }.

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(x_{2},y_{2} ) = coordinates of the second point

To solve, plug the appropriate values into the formula.

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5 0
3 years ago
Please please help I really need it today please show work
Cerrena [4.2K]

Answer:

<u><em>x=9</em></u>.

<em><u>perimeter=68</u></em>

<em><u>area=168</u></em>

Step-by-step explanation:

First find the side that has a exact number which would be the bottom 28cm then look at the opposite side (2x+10) in order to find x subtract 10 from 28 which gives you 18, now 2x means x multiplied by 2 so what multiplied by 2 = 18? 9 meaning <u><em>x=9</em></u>. Now you are going to want to plug 9 in to your short side (x-3) once you plug it in it should look like this 9-3 and 9-3=6 meaning the short side is 6cm. In order for you to find the perimeter you have to add the sides together so 28+28+6+6 wich <u><em>=68</em></u> and in order for you to find the area you have to  multiply the length and the width so 28x6 which is <em><u>168</u></em>.

hope that helped :)

4 0
3 years ago
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A hiker maintains an average speed of 3 3/4 km/h. How many kilometers will the hiker walk in 5 hours
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Answer:

3 3/4 km = 1 hr

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