<span>2 cups of flower equals 12 muffins, which means that (2/12) (cups of flower/muffins) times m muffins = cups of flowers. </span>
<span>On the second one, lets make an equation system. </span>
<span>Lets call this seasons score x. </span>
<span>Last season Betty scored 36 which is 8 less than twice the score this season. </span>
<span>Translating this to an equation yields the following expression: </span>
<span>2x - 8 = 36 </span>
<span>Then solving! </span>
<span>2x - 8 = 36 </span>
<span>2x = 44 </span>
<span>x = 22 </span>
X^2+2x-5-(x+7)
x^2+x-12
plug in 6 for x
6^2+6-12
36+6-12=30
<span><span><span>(3x−2)/</span><span>(x−1<span>)^2</span></span></span>=<span>A/(<span>x−1) </span></span>+ <span><span>B/x</span><span>(x−1<span>)^2
</span></span></span> =[<span><span>A(x−1)+Bx</span><span>(x−1<span>)] / 2</span></span></span></span>
3x-2=A(x-1)+Bx
3x-2=x(A+B)-A
A+B=3
-A=-2=>A=2
A+B=3=>2+B=3=>B=1
lets check our partial fraction
we have
<span><span><span>2/(<span>x−1) </span></span>+ <span>x/<span>(x−1<span>)^2 </span></span></span>= [<span><span>2(x−1)+x] / </span><span>(x−1<span>)^2
</span></span></span> =(<span><span>3x−2) / </span><span>(x−1<span>)^2</span></span></span></span></span>
4x ≥ 112
It's very simple.Just replace x by the values from A to F so:
A. x = 21 ⇒ 4·21 ≥ 112 ⇒ 84 ≥ 112 - FALSE
B. x = 33 ⇒ 4·33 ≥ 112 ⇒ 132 ≥ 112 - TRUE
C. x = 27 ⇒ 4·27 ≥ 112 ⇒ 98 ≥ 112 - FALSE
D. x = 1 ⇒ 4·1 ≥ 112 ⇒ 4 ≥ 112 - FALSE
E. x = 28 ⇒ 28·4 ≥ 112 ⇒ 112 ≥ 112 - TRUE
F. x = 25 ⇒ 25·4 ≥ 112 ⇒ 100 ≥ 112 - FALSE
ANSWER : 33,28
Answer:
a = 7
Step-by-step explanation:
Write the equation with all the components.
97 (cost) = 8a +41
Isolate the variable.
97 = 8a + 41
-41 -41
56 = 8a
Divide both sides by 8.
You're left with 7=a and that's your answer. Hope this helps :)