Hey there!
Let's call this "number" x. We want four times the sum of this number and 15 to equal at least 120.
Therefore, we want this number times four plus fifteen to be greater than or equal to 120. We have:
Distribute:
Subtract:
Divide:
Your answer is C.
Hope this helps!
Step-by-step explanation:
here's the answer to your question
Answer:
Step-by-step explanation:
f(x) = sin(4x)f' = 4 cos(4x)f'' = -16 sin(4x)f''' = -64 cos(4x)f⁽⁴⁾ = 256 sin(4x)f⁽⁵⁾ = 1024 cos(4x)The 4-th order Taylor series expansion isf(x+h) = f(x) + hf'(x) + (h²/2!)f''(x) + (h³/3!)f'''(x) + (h⁴/4!)f⁽⁴⁾(x) + ...The Maclaurin series is obtained by setting x = 0.Note that sin(0) = 0 and cos(0) = 1.The non zero terms aref(h) = 4h - (4h)³/3! + (4h)⁵/5! - (4h)⁷/7! + ...Answer: f(x) =4x- 4/3+4x/5+4x7
HOPE THIS HELPED ;3 please mark Brainliest
Answer:
y=21 X=39
Step-by-step explanation:
expand brackets on first equation: 2x+2y=120
now divide the second equation by 2 on both sides:
2x+y/3=85
then subtract the second equation from the first equation
so (2x+2y) - (2x+y/3)
the 2x on both sides cancel out and you get 5/3 y
this is equal to the sum of the first equation subtract the second equation which is 35
divide both sides by 5/3 and you get
y=21
substitute y in the first equation and you get X=39
1) <u>Find the length of the diagonals of the greater rhombus</u>
NJ=9 units
XY=6 units
Find the the ratio
NJ/XY=9/6-------> 3/2
2) <u>Find the length of the diagonals of the smaller rhombus</u>
HS=6 units
ZC=4 units
Find the the ratio
HS/ZC=6/4-------> 3/2
so
NJ/XY=HS/ZC--------> the rhombus are similar
the scale factor is equal to ------> 3/2=1.5
measure greater rhombus =scale factor*measure smaller rhombus
measure greater rhombus =1.5*measure smaller rhombus
measure smaller rhombus=(measure greater rhombus/1.5)
therefore
<u>the answer is</u>
Yes , they are a scaled copies and the scale factor is equal to 1.5
