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AleksandrR [38]
3 years ago
9

Let ​ f(x)=x2−x−30 ​. What are the zeros of the function?

Mathematics
1 answer:
klio [65]3 years ago
7 0
-x = -6x + 5x

x^2-x-30=0\\\\ x^2-6x+5x-30=0\\\\ x(x-6)+5(x-6)=0\\\\ (x-6)(x+5)=0\\\\ x-6=0\vee x+5=0\\\\ x=6\vee x=-5
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Solve the inequalities and show your work:
stepan [7]

Answer:

x<4

Step-by-step explanation:

x/2-3<-1

Add 3 to each side

x/2-3+3<-1+3

x/2 < 2

Multiply each side by 2

x/2*2 <2*2

x<4

5 0
3 years ago
A business’s assets are valued at $600,000, and the value depreciates 20% per year. Using the formula V(t) = V0(b)t, what is V0,
Nana76 [90]
The formula is
V (t)=V0(b)^t
V (t) the value of the assets after 5 (t) years ?
V0 current value of assets 600000
B=1-0.20=0.8
T 5 years

So the value of assets after 5 years is
V (5)=600,000×0.8^(5)=196,608
7 0
3 years ago
4 is what percent of 20?
OLEGan [10]
If you put 4 over 20 and did a ratio to x over 100 it would be 20%
5 0
3 years ago
A bag of markers has 4 red markers, 5 blue markers, 3 yellow markers, and 3 green markers. If Maria pulls out a marker without l
torisob [31]

Answer:

2/3

Step-by-step explanation:

15/15-5/15

10/15

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4 0
3 years ago
Read 2 more answers
The length of one side of a square is (x + 2 1/4). If the perimeter is 14 units, what is the area?
Stels [109]

The perimeter is the total of adding all of the side lengths together.

A square has 4 equal side lengths.

So the perimeter of a square is:

P = s + s + s + s  or  P = 4s

[P = perimeter       s = side lengths of the square]


Since you know the side length of the square is (x + 2 1/4), you can replace s with (x + 2 1/4)

P = 4s

P = 4(x + 2 1/4)  Multiply 4 into (x + 2 1/4)

P = 4x + 8 4/4

P = 4x + 9

Since you know the perimeter, you can plug it in.(you could have also plugged it in in the beginning)

P = 4x + 9

14 = 4x + 9  Subtract 9 on both sides

5 = 4x  Divide 4 on both sides

5/4 = x


Now that you know x, find the side length of the square.

(x + 2 1/4)

(5/4 + 2 1/4)

2 6/4 = 3 2/4 = 3 1/2 units or 3.5 units


To find the area of a square, you multiply 2 of the sides together:

A = s · s  

A = 3.5 · 3.5

A = 12.25 units²

7 0
3 years ago
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