Answer:
Option b. Two solutions
Step-by-step explanation:
In order to find how many real number solutions the equation has we have to solve it
Given equation: -4x² + 10x + 6 = 0
taking 2 common from the equation
2(-2x² + 5x + 3) = 0
-2x² + 5x + 3 = 0
taking minus sign common from the above equation
2x² - 5x - 3 = 0
We will solve this equation by factorization in such a way that the sum of two factors is equal to -5x and the product is -6x²
2x² - 6x + x - 3 = 0
taking common above
2x(x-3) + 1(x-3) = 0
taking (x-3) common
(2x+1)(x-3) = 0
2x + 1 = 0
2x = -1
x = 
x - 3 = 0; x = 3
the solutions are
Both values are real numbers, therefore correct option is b
Answer:
The correct option is a
Step-by-step explanation:
From the question we are told that
The sample size is n = 415
The sample proportion is 
Now
The null hypothesis is 
The alternative hypothesis is 
The test statistics is mathematically evaluated as
substituting values
Cole can learn how to play tennis. But if he saved the money, he can save up and get something bigger, or save up for college. There is only so much he can do with a tennis racket except for using it to learn a new sport.
Answer:
2x^2 + 7x + 3 is the area of the rectangular piece of wood.
Step-by-step explanation:
Here,
Length ( l ) = x + 3
Breadth ( b ) = 2x + 1
Formula : -
Ar ( rectangle ) = lb
lb
= ( x + 3 ) ( 2x + 1 )
= x ( 2x + 1 ) + 3 ( 2x + 1 )
= 2x^2 + x + 6x + 3
= 2x^2 + 7x + 3
