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erik [133]
4 years ago
10

Given the quadratic equation below, determine which situation it could represent? x2 -4x = 60

Mathematics
1 answer:
yarga [219]4 years ago
4 0

Answer:

The solution is x = 10 and x = -6. This quadratic could be represented in factored form as (x - 10)(x + 6) or on a graph with x-intercepts at (10,0) and (-6,0).

Step-by-step explanation:

To solve the quadratic, write the quadratic in standard form and factor the equation.

x² - 4x = 60

x² - 4x - 60 = 0

(x - 10)(x + 6) = 0

x = 10 and x = -6

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Geometry math question no Guessing and Please show work thank you
hichkok12 [17]

we will use formula

\theta=\frac{180(n-2)}{n}

where

theta is angle

n is number of sides

we are given

n=15

we can plug it

\theta=\frac{180(15-2)}{15}

now, we can solve for theta

\theta=\frac{60(15-2)}{5}

\theta=12*13

\theta=156

so,

option-D.........Answer

3 0
3 years ago
What is the next step after using the distributive<br><br> property?
e-lub [12.9K]

Answer:

If it's a simple equation such as 2 (x + y), the next step after applying the distributive property is to do the multiplication and simplify the terms.

But in solving an equation such as

2(x + 3) = 3(x + 1)

After applying the distributive property, the next step is to separate the variables to one side, like collecting like terms and then solving the now simplified equation.

Step-by-step explanation:

For a normal equation, the distributive property, also called the distributive law of division and multiplication helps to use the variable outside the bracket to multiply the sum of terms in the bracket. For example.

2 (x + y)

The distributive property enables us to say

2×x + 2×y = 2x + 2y

So, the next step after applying the distributive property is to simplify the equation.

But in solving an equation such as

2(x + 3) = 3(x + 1)

Applying the distributive property

2x + 6 = 3x + 3

We then operate variables, collect like terms on one side

6 - 3 = 3x - 2x

3 = x

x = 3

Hope this Helps!!!

3 0
3 years ago
Evaluate f(9) given the function f(x)=3x2 – 11x - 21*
Blizzard [7]

Answer:

123

Step-by-step explanation:

The given function is :

f(x)=3x^2 - 11x - 21

We need to find the value of f(9). It can be done by putting x = 9 in the above function as follows :

f(9)=3(9)^2 - 11(9) - 21\\\\=243-99-21\\\\=123

So, the value of f(9) is 123.

3 0
3 years ago
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daser333 [38]

Answer:

Step-by-step explanation:

Good luck

3 0
3 years ago
12. P (7,r) = 5040. Find r<br><br>A. 5<br>B. 6<br>C. 7<br>D. 8​
aalyn [17]

Answer:

B

Step-by-step explanation:

P(7,r) = 5040

P(n,r)=\dfrac{n!}{(n - r)!}\\\\\\n = 7 \\\\\dfrac{7!}{(7 - r)!}=5040\\\\\\7! = (7-r)!*5040\\\\(7-r)!=\dfrac{5040}{7*6*5*4*3*2*1}\\\\\\(7-r)!=\dfrac{5040}{5040}\\\\\\(7-r)!=1\\\\

(7 - r)! = 1!

7 -r = 1

7 = 1 + r

7 - 1 = r

r = 6

7 0
3 years ago
Read 2 more answers
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