Answer:
vertical translation & vertical stretch
Step-by-step explanation:
Answer:
<h2><u><em>
x =</em></u><u><em> </em></u><u><em>
3.75</em></u></h2><h2><u><em>
or</em></u></h2><h2><u><em>
x = 3 3/4</em></u></h2>
Step-by-step explanation:
4x - 7 = 8
What is the value of x? Show your working.
4x - 7 = 8
4x = 8 + 7
4x = 15
x = 15 : 4
x = 3.75
or
x = 3 3/4
--------------------
check
4 * 3.75 - 7 = 8
15 - 7 = 8
8 = 8
the answer is good
Answer:
4 months.
Step-by-step explanation:
We can write formulas for the amount each person paid after x months. These will be
Brian = 60 + 42.95x
Michael = 0 + 57.95x
So for example, after 1 month Brian will have paid 102.95 for the installation and first month, while Michael will have paid only 57.95 (I put the zero in the equation to make it look like the familiar y-intercept form). We are trying the find the month at which they have paid equal amounts. Solve for x in the equation
60 + 42.95x = 57.95x
60 = (57.95 - 42.95)x
60 = 15x
x = 4
After four months.
Answer:
Answer: 25 guests is 2.5 times more than 10
Multiply each order by 2.5
Chicken = 16 x 2.5 = 40
Lasagna = 7 x 2.5 = 17.5 , round to 18
Deli meat = 1.8 x 2.5 = 4.5, round to 5
Sliced cheese = 15 x 2.5 = 37.5, round to 38
Buns = 1 x 2.5 = 2.5, round to 3
Potato salad = 2 x 2.5 = 5
Step-by-step explanation:
T the woman row part way at an angle Θ to the diameter,
<span>and walk along the arc for the rest of the way. </span>
<span>since the triangle on the diameter is right angled, angle subtended at the centre by the arc walked will be 2Θ </span>
<span>distance rowed is 2rcosΘ = 4cosΘ </span>
<span>and length of the arc jogged = r•2Θ = 4Θ, Θ in radians, </span>
<span>so T(Θ) = 4cosΘ/5 + 4Θ/10 </span>
<span>= 0.8cosΘ + 0.4Θ </span>
<span>T'(Θ) = -0.8sinΘ + 0.4 </span>
<span>but T"(Θ) = -0.8cosΘ, so setting T'(Θ) to 0 will give a MAXIMA </span>
<span>so minimum time has to be at one of the 2 extrema (Θ=0 or pi/2) </span>
<span>T(0) = 0.8 </span>
<span>T(pi/2) = 0.4pi/2, < T(0) </span>
<span>so least time = 0.4pi/2 hrs </span>