What is the value of f(-6) for the function f(x) = (1/2)x - 7
Answers
Answer:
The answer is
Step-by-step explanation:
To find f(-6) , substitute the value of x that's - 6 into f(x). That is for every x in f(x) replace it with - 6
We have
We have the final answer as
Hope this helps you
Answer:
-10
Step-by-step explanation:
for f(-6)
we know ,
x is -6 as we are replacing value
now
f(x)=(1/2)x-7
or f(-6)=1/2*-6-7
or,f(-6)=-3-7
to therefore f(-6)= -10
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Is the blue figure a rotation of the red figure about the orgin?
Answers
Answer:
m < B = 55°
Step-by-step explanation:
The exterior angle of a triangle is the angle formed between one side of a triangle and the extension of its adjacent side. In this given problem, the exterior angle of the Δ ABC is < C. The remote interior angles of < C are < B and < A. The sum of these two remote interior angles is equal to the m < C.
We're also given the information that m< C = 115°, m < A = 4y°, and m < B = (3y + 10)°
Therefore, to solve for the m < B, we can establish the following formula:
m < A + m < B = m < C
4y° + (3y + 10)° = 115°
4y° + 3y° + 10° = 115°
Add like terms:
7y° + 10° = 115°
Subtract 10° from both sides:
7y° + 10° - 10° = 115° - 10°
7y° = 105°
Divide both sides by 7 to solve for y:
7y°/7 = 105°/7
y = 15°
Therefore, the value of y = 15. To verify whether this is the correct value, substitute y = 15 into the equality statement:
m < A + m < B = m < C
4(15)° + [3(15) + 10]° = 115°
60° + 55° = 115°
115° = 115° (True statement, which means that y = 15 is the correct value).
Therefore, m < B = (3y + 10)° = 55°
Please mark my answers as the Brainliest, if you find this solution helpful :)
Answers
The number of snowdays of District 241 are 4.
What is Statistics?
Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
We have to find the number of snowdays of District 241
School District District201 District211 District221 District231 District 241
Number of 4 8 3 6 ?
snow days
Mean of snow days is 5.
Mean =Sum of observations/Number of observations
5=4+8+3+6+x/5
25=21+x
Subtract 21 from both sides
x=4
Hence, the number of snow days of District 241 are 4.
To learn more on Statistics click:
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Answer:
DIstrict 241 had 4 snow days.
Step-by-step explanation:
5 * 5 = 25
Add the ones you know
4 + 8 + 3 + 6 = 21
Then
25 - 21 = 4
So District 241 had 4 snow days.
I know this answer is 100% correct. I answered it correctly. This problem wasn't that hard. Let me know if you need help with anything else.
Answers
3 2/3 ÷ 1 1/4
Make the two mixed fractions into an improper fraction
Denominator times whole number. 3*3=9. Add 9 with the numerator. 9+2=11
1*4=4 . 4+1=5
11/3 ÷ 5/4
Flip over the second fraction only when dividing
11/3 *4/5
Multiply the numerator together. Multiply the denominator together.
11*4=44
3*5=15
44/15 or 2 14/15
Answer: 44/15 or 2 14/15
Step-by-step explanation:
Change into improper fractions:
Change to a multiplication problem:
Simplify:
or
or 2.93333333333
Depends on how the question wants you to put it. You can put it as an improper fraction, a proper fraction, or as a decimal.
Hope this helped ; )
Answers
Answer:
s
Step-by-step explanation:
bdjdiwo9929191isjjz
Answers
Answer:
-45.
Step-by-step explanation:
I am assuming you mean
√25 - 2(3 +4(-2))^2
= 5 - 2(3-8)^2
= 5 - 2 * (-5)^2
= 5 - 2*25
= -45.
Answers
Answer:
the partial derivatives are
fx =5/9
fy =(-13/18)
Step-by-step explanation:
defining the vector v (from (2,1) to (1,3))
v=(1,3)-(2,1) = (-1,2)
the unit vector will be
v'=(-1,2)/√5 = (-1/√5,2/√5)
the directional derivative is
fv(x,y) = fx*v'x + fy*v'y = fx*(-1/√5)+fy(2/√5) =-2/√5
then defining the vector u ( from (2, 1) toward the point (5, 5) )
u=(5,5)-(2,1) = (3,4)
the unit vector will be
u'=(3,4)/5 = (3/5,4/5)
the directional derivative is
fu(x,y) = fx*ux + fy*uy = fx*(3/5)+fy(4/5)=1
thus we have the set of linear equations
-fx/√5*+2*fy/√5 =(-2/√5) → -fx + 2*fy = -2
(3/5) fx+(4/5)*fy=1 → 3* fx+4*fy = 5
subtracting the first equation twice to the second
3*fx+4*fy -(- 2fx)*-4*fy = 5 -2*(-2)
5*fx=9
fx=5/9
thus from the first equation
-fx + 2*fy = -2
fy= fx/2 -1 = 5/18 -1 = -13/18
thus we have
fx =5/9
fy =(-13/18)