Answer:for ax^2+bx+c=0 the discriminant is b^2-4ac
there are 3 basic cases of what happens for different discriminants
1. if the discriminant is less than 0, then there are no real zeroes
2. if the discriminant is 0, then it has 1 zero
3. if the discriminant is greater than 0, it has 2 zeroes
so given
0=3x^2-7x+4
a=3,b=-7,c=4
thus the discriminant is (-7)^2-4(3)(4)=49-48=1
the discriminant is 1. 1 is positive, thus the equation has 2 zeroes because the discriminant is greater than 0
the answer is the equation has two zeroes because the discriminant is greater than 0
Step-by-step explanation:
Answer:
1st pic) 17.8
2nd pic) 16.8
3rd pic) 9.1
4th pic) 13.5
Step-by-step explanation:
<u>1st pic:</u> 
(write equation) Cos 27 (cos 27 = 0.89) = 
(new equation) 0. 89 =
(multiply 20 on both sides) 0.89 x 20 = x 20
(solve) 17.8 = x
<u>2nd pic:</u> 
(write equation) tan 40 (tan 40 = 0.84) = 
(new equation) 0.84 =
(multiply 32 on both sides) 0.84 x 20 = x 20
(solve) 16.8 = x
<u>3rd pic:</u>
(write equation) cos 55 (cos 55 = 0.57) = 
(new equation) 0.57 =
(multiply 16 on both sides) 0.57 x 16 = x 16
(solve) 9.1 = x
<u>4th pic:</u>
(write eqaution) tan 42 (tan 42 = 0.90) = 
(new equation) 0.90 =
(multiply 15 on both sides) 0.90 x 15 = x 15
(solve) 13.5 = x
Answer:
35 pounds of tea for 80 cents.
Step-by-step explanation:
Equation::
value + value = value
80x + 60(50-x) = 74*50
80x + 60*50 - 60x = 74*50
20x = 14*50
x = 35 lbs (amt. of 80 cent tea to use)
50-x = 15 lbs (amt. of 60 cent tean to use)
4m+9+5m-12=42
9m-3=42
Divide bothsides by 9.
9m/9 -3/9=-0.3=-4
m=-4
