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Law Incorporation [45]

3 years ago

8

PLEASE HELP! With math

1 answer:

Flauer [41]3 years ago

4 0

Use the diamond box method.

x^2 | -6x

10x | -60

-60x^2
10x. -6x
4x

(x-6)(x+10)

x= 6, -10

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Please Help me with the last three questions!<br> It is urgent!

MrMuchimi

Answers:
1. X= 0
2. X= 0
3. X=3

You can use this method to solve them step by step, hope it will help!

8 0

3 years ago

A store has a 2 5 % 25% off sale on coats. With this discount, the price of one coat is $ 3 4 . 5 0 $34.50. What is the original

valentinak56 [21]

Answer:

The original price of the coat is $46

Step-by-step explanation:

In order to find this, we need to start with the cost after the discount. We can then divide this by the amount in percentage that we paid. Since it is 25% off, we paid 75%.

$34.50/75% = $46

3 0

3 years ago

Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

inn [45]

Answer:

See explanation

Step-by-step explanation:

1. Factor the function $f(x)=-2x^2+16x-30:$

$f(x)=-2x^2+16x-30=-2x^2+6x+10x-30=-2x(x-3)+10(x-3)=-2(x-3)(x-5).$

2. The zeros (or the solutions of the equation f(x)=0) are x=3 and x=5. So? points (3,0) and (5,0) are the points on the graph that are the solutions of the equation.

3. Find the vertex:

$x_v=-\dfrac{b}{2a}=-\dfrac{16}{2\cdot (-2)}=4,\\ \\y_v=-2\cdot 4^2+16\cdot 4-30=-32+64-30=2.$

Thus, the coordinates of the vertex are (4,2) and the axis of symmetry is the vertical line that passes trough the vertex: x=4.

3 0

3 years ago

The length of a 200 square foot rectangular vegetable garden is 4feet less than twice the width. Find the length and width of th

inna [77]

Answer:

Length = 18.099 ft

Width = 11.049 ft

Step-by-step explanation:

let the length of the field be x ft

and the width be y ft

as per the condition given in problem

x=2y-4 -----------(A)

Also the area is given as 200 sqft

Hence

xy=200

Hence from A we get

y(2y-4)=200

taking 2 as GCF out

2y(y-2)=200

Dividing both sides by 2 we get

$y(y-2)=100$

$y^2-2y=100$

subtracting 100 from both sides

$y^2-2y-100=0$

Now we solve the above equation with the help of Quadratic formula which is given in the image attached with this for any equation in form

$ax^2+bx+c=0$

Here in our case

a=1

b=-1

c=-100

Putting those values in the formula and solving them for y

$y=\frac{-(-2)+\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

$y=\frac{-(-2)-\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

Solving first

$y=\frac{2+\sqrt{4+400}{2}$

$y=\frac{2+\sqrt{404}{2}$

$y=\frac{2+20.099}{2}$

$y=\frac{22.099}{2}$

$y=11.049$

Solving second one

$y=\frac{-(-2)-\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

$y=\frac{2-\sqrt{4+400}{2}$

$y=\frac{2-\sqrt{404}{2}$

$y=\frac{2-20.099}{2}$

$y=\frac{-18.99}{2}$

$y=-9.045$

Which is wrong as the width can not be in negative

Our width of the field is

y=11.099

Hence the length will be

x=2y-4

x=2(11.049)-4

x=22.099-4

x=18.099

Hence our length x and width y :

Length = 18.099 ft

Width = 11.049 ft

4 0

3 years ago

How to simplify 15+6(x+1)

Trava [24]

15 + 6(x + 1)

Factor a 3 out of the expression.

3(5 + 2(x + 1))

Distribute the 2.

3(5 + 2x + 2)

Combine like terms.

3(7 + 2x)

3(7 + 2x) is your answer.

6 0

3 years ago

Read 2 more answers