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Alex777 [14]
3 years ago
10

Nellie is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?

Mathematics
1 answer:
dolphi86 [110]3 years ago
5 0
For the answer to the question above, I think i've seen this question before.
If we substitute 13 to f(x) and get a value for x, then the two equations will intersect. So,
f(x) = x^2 + 6x +10
13 = x^2 + 6x+ 10
x^2 + 6x - 3 = 0

Solving the quadratic equations:
The roots of the equation is
x = 0.4641 and
x = -6.4541

Therefore, the line will intersect with the quadratic function.
You might be interested in
A jar contains 46 quarters and pennies. The total value of the coins is $4.30. Which system of equations can be used to find p,
Crazy boy [7]

Answer:

16 quarters

30 pennies

Step-by-step explanation:

q= quarters

p=pennies

set up a system of equations. One equation is for total value, the other is total # of coins.

q + p = 46

0.25q + 0.01p = 4.30 -> multiply this equation by 4 so you can subtract from the top equation

q + P =46

1q + 0.04p = 17.20

subtract the bottom equation from the top

0.96p = 28.8

divide by 0.96

p=30

substitute p in the top equation

q + 30 = 46

subtract 30 from both sides

q = 16

4 0
3 years ago
10................/......
jolli1 [7]

Answer:

<h2><u>-1 + √3 or -(1 - 2√3)</u></h2>

Step-by-step explanation:

(1 + √3) (2 - √3) = 2 - √3 + 2√3 - 3 = 2 - 3 - √3 + 2√3 = <u>-1 + √3 or -(1 - 2√3)</u>

6 0
3 years ago
Read 2 more answers
What is the coefficient of a3 after simplifying this expression? 2a3−10ab2+3a3−ab2−7
Sergio [31]

Answer:

<h3>5</h3>

Step-by-step explanation:

Given the expression

2a^3−10ab^2+3a^3−ab^2−7

We are to find the coefficient of a^3

First is to collect the like terms;

2a^3−10ab^2+3a^3−ab^2−7

= 2a^3+3a^3−10ab^2−ab^2−7

= 5a^3-11ab^2-7

From the resulting equation, you can see that the coefficient of the term having a^3 is 5

7 0
3 years ago
Answer in scientific notation?
love history [14]
The answer is:  45 * 10 ⁻¹¹ .
___________________________________________

Explanation:
____________________________________________
Given:   (9 * 10⁻⁵) * (5 *10 ⁻⁶) ;   Simplify.
____________________________________________
 (9 * 10⁻⁵) * (5 *10⁻⁶)  =

9 * 5 * 10⁻⁵ * 10⁻⁶ = 

(9 * 5) * 10⁻⁵ * 10⁻⁶ 

45 * 10⁻⁵ * 10⁻⁶  ;   
______________________________________
Note the following property of exponents:

xᵃ * xᵇ = x⁽ᵃ⁺ᵇ⁾ ;

As such, 10⁻⁵ * 10⁻⁶ = 10⁽⁻⁵ ⁺ ⁻⁶) = 10 ⁻¹¹ ;
______________________________________
So;  45 * 10⁻⁵ * 10⁻⁶ 

           =  45 * 10⁻¹¹ .
______________________________________

7 0
3 years ago
How do you answer these two questions?
-BARSIC- [3]
I think you could multiply or divide. Hope this helps:)
7 0
3 years ago
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