This may help :))
She worked 9 hours on store and gave piano lessons for 6 hours
Let x be the no. of hours she worked on store
Cost of 1 hour on shop = $8.47
Cost of x hours on shop = $8.47x
Let y be the no. of hours she gave piano lessons
Cost of 1 hour for piano lessons = $17
Cost of y hours on shop = $17y
Answer: The degree of 15y+v4-8 is 1
Step-by-step explanation: Hope this helps in your studies!
Answer:
(2x-1)(2x+1)(x^2+2) = 0
Step-by-step explanation:
Here's a trick: Use a temporary substitution for x^2. Let p = x^2. Then 4x^4+7x^2-2=0 becomes 4p^2 + 7p - 2 = 0.
Find p using the quadratic formula: a = 4, b = 7 and c = -2. Then the discriminant is b^2-4ac, or (7)^2-4(4)(-2), or 49+32, or 81.
Then the roots are:
-7 plus or minus √81
p= --------------------------------
8
p = 2/8 = 1/4 and p = -16/8 = -2.
Recalling that p = x^2, we let p = x^2 = 1/4, finding that x = plus or minus 1/2. We cannot do quite the same thing with the factor p= -2 because the roots would be complex.
If x = 1/2 is a root, then 2x - 1 is a factor. If x = -1/2 is a root, then 2x+1 is a factor.
Let's multiply these two factors, (2x-1) and (2x+1), together, obtaining 4x^2 - 1. Let's divide this 4x^2 - 1 into 4x^4+7x^2-2=0. We get x^2+2 as quotient.
Then, 4x^4+7x^2-2=0 in factored form, is (2x-1)(2x+1)(x^2+2) = 0.
Answer:
L=8
Step-by-step explanation:
S=smaller number
L=larger number
S+L=5 : S=5-L
L=14+2S
substitute for S:
L=14+2(5-L)
solve for L:
L=14+10-2L
3L=24
L=8
Answer:
9.8x - 11.1x
Explanation:
25 - 5.2 = 9.8x
0.9 - 12 = -11,1y
Notice: I’m not sure but if it wrong, you could replaced with 10x - 11y which be better answer