<span>3x + 4y = 10
4y = -3x + 10
y = -3/4x + 5/2
or
</span>f(x) = -3/4x + 5/2
answer: <span>C) f(x) = - 3/4 x + 5/2 </span>
|7 - x| >= 1
When solving for x inside an absolute value, you can set up two equations. One for the positive and one for the negative(since we’re dealing with absolutes.
We end up with:
7 - x >= 1
7 - x <= -1 (inequalities’ signs flip when multiplying or dividing by a negative.)
7 - x >= 1
7 - 1 >= x
X <= 6
7 - x <= -1
7 + 1 <= x
X>= 8
X: (-infinity, 6]U[8, infinity)
Answer:
<em>D = 41</em>
Step-by-step explanation:
y = ax² + bx + c
The discriminant D = b² - 4ac tells the types of roots the equation has.
If D < 0 , then quadratic equation has no real roots, has two imaginary roots.
If D = 0 , then quadratic equation has one real root.
If D > 0 , then quadratic equation has two distinct real roots.
~~~~~~~~~~~~
x² + 5x - 4
a = 1, b = 5, c = - 4
<em>D </em>= 5² - 4(1)(- 4) = 25 + 16 =<em> 41</em>
Answer:
Kendra needs 3 coins (1 coin of 25 cent & 2 coins of 1 cent) to add 27 cents in 73 cents to make 1 dollar
Step-by-step explanation:
Given :
Kendra has 73 cents
She need 1 dollar to by a ball
∴ She requires additional money = 
Standard Coins available are 50 cents , 25 cents, 10 cents, 5 cents and 1 cent.
To make 27 cents = 
= 1 coin of 25 cent & 2 coins of 1 cent
Answer: 0.2119
Step-by-step explanation:
We assume that the random variable X is normally distributed.
Given : Population mean : 
Standard deviation : 
Z-score : 
Then, z-score corresponds to 116
By using the standard normal distribution table for z , we have
Hence, the required probability = 0.2119
