Evaluate the function f(x)=6x+2 at the given values of the independent variable and simplify.
a. f(8) b. f(x+6) c. f(−x)
. f(8)= (Simplify your answer.)
[tex]f(x) = 6x+2[/tex]
A.
To evaluate f(8), we substitute x with 8 in our expression.
[tex]f(8) = 6*8 + 2\\f(8) = 48 +2\\f(8) = 50[/tex]
Answer: f(8) = 50
B.
To evaluate f(x+6), we do the same but substitute x with x+6 instead.
[tex]f(x+6) = 6(x+6) + 2[/tex]
Expand the parenthesis by multiplying 6 with x and 6.
[tex]f(x+6) = 6x + 6*6 + 2\\f(x+6) = 6x+36+2\\f(x+6) = 6x+38[/tex]
Answer: f(x+6) = 6x + 38
C.
Again, we're doing the same thing, just substituting x with -x.
[tex]f(-x) = 6 * (-x) + 2\\ f(-x)=-6x+2[/tex]
Answer: f(-x) = -6x+2
Answer:
_____________________________________________
[tex] \longmapsto \: f(x) = 6x + 2[/tex]
_____________________________________________
A. [tex]f(8) = 6(8) + 2 = 48 + 2 = \boxed{ 50}✓[/tex]
_____________________________________________
B. [tex]f(x + 6) = 6(x + 6) + 2 \\ = 6x + 36 + 2 \\ = \boxed{ 6x + 38}✓[/tex]
_____________________________________________
C. [tex]f( - x) = 6( - x) + 2 = \boxed{ - 6x + 2}✓[/tex]
_____________________________________________
The midpoint of AB is M(2, -1). If the coordinates of A are (1,6), what are the
coordinates of B?
Answer:
work is attached and shown
The coordinate of point B will be (3, -8) for the given line segment.
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).
Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.
For example (5,3) here 5 will be for the x and 3 will be for the y.
Another example is (9,0) here 9 is for x and 0 is for y.
Given the line segment, AB
If the M(2, -1) is the midpoint of A(1,6) and B(x,y)
Then,
(1 + x)/2 = 2 ⇒ x = 3
(6 + y)/2 = -1 ⇒ y = -8
So B(3, -8).
Hence "The coordinate of point B will be (3, -8) for the given line segment".
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Which number line shows the points −12/5 and –2.8?
The number line that shows the points −12/5 and –2.8 is Option A.
What is a number line?Integers are arranged at equal intervals along horizontal straight lines called number lines. A number line can be used to represent every number in a series. The endpoints of this line go on forever. Some will have a defined beginning and end. It refers to those as closed number lines. Number lines might be alternatively left empty or blank. A number ladder is a vertical number line.
The given numbers are: −12/5 and –2.8
As we can re-write -12/5 in decimal form= -2.4
Now, we need to mark the number on the number line.
As the number -2.4 lies between -2 and -3 on the left side of zero.
and, -2.4 lies between -the numbers 2.5 and -3.0 on the left side of zero.
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HURRY PLEASE !
Which of the following is 13/16 closest to ? A ; 1/2 . B ; 1 . C ; 0 .
Answer:
1
Step-by-step explanation:
Half of 16ths would be 8/16 so 13/16 is closest to 1
plz consider giving me brainliest =)
Answer:
1
Step-by-step explanation:
Its much closer to a whole number than it is to a fraction.
helpp mee pleaseee !
Answer:
Constant of proportionality, [tex]r = \frac{1}{10}[/tex]
pls help this is due in 30 min
Thank you sm
simplify 3(x+2)-5x
1. 6-2x
2. 8x+2
3.-2x+2
4.2x+6
Answer:
-2x + 6
Step-by-step explanation:
Step 1: Write expression
3(x + 2) - 5x
Step 2: Distribute
3x + 6 - 5x
Step 3: Combine like terms
-2x + 6
Answer:
-2x+6
Step-by-step explanation:
first multiply the 3(x+2)
that equals 3x+6-5x
Add like terms
-2x+6
Simplify 12edf – 13def. State a property that you can use.
Answer:
-def. In multiplication, the order doesn't matter.
Step-by-step explanation:
A crucial property you can use to simplify this is the fact that, in multiplication, order doesn't matter.
3 * 2 = 6
2 * 3 = 6
5 * 2 * 3 = 30
2 * 3 * 5 = 30
3 * 2 * 5 = 30
Thus,
edf, or
e * d * f
is the same as def,
d * e * f
e * d * f = d * e * f
edf = def
Thus, 12edf is the same as 12def. We can put this in our expression:
12edf - 13def
12def - 13def
Now, we can see that this will equal -1def or -def
12def - 13def
-1def
-def
Answer: -def. In multiplication, the order doesn't matter.
can someone actually help and not tell me to use google. thanks.
Answer:
i deserved these
Step-by-step explanation:
if x=2⅓-2, then find the value of x³+6x²+12x
4 19/27
Step-by-step explanation:x = 2 1/3 - 2
= 1/3
x³ + 6x² + 12x =
= (1/3)³ + 6(1/3)² + 12(1/3)
= 1/27 + 6×1/9 + 12×1/3
= 1/27 + ⁹⁾2/3 + ²⁷⁾4
= (1 + 18 + 108)/27
= 127/27
= 4 19/27
Which decimal is equivalent to
2/7 ?
0.27
0.285714
0.285714
0.27
Answer:
0.285714 is the answer to your question
Solve for x.
(5x - 25)
(7x+4)
Answer: x is 5 if this isnt right then im sorry.
A sequence is defined by the formula f(n+1)=f(n)−3. If f(4)=22, what is f(1)? 10 13 31 34
Answer:
C:31
Step-by-step explanation:
Considering the given recursive function, it is found that the value of f(1) is of f(1) = 31.
What is the definition of the recursive function?It is given by:
f(n + 1) = f(n) - 3.
Which means that each term is the previous term subtracted by 3, hence:
f(4) = 22, f(3) = 25, f(2) = 28, f(1) = 31.
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4x +y = 7
what is the literal equation for y.
Answer:
Step-by-step explanation:
y + 4x = 7
y = 4x - 7
2. Regina, Phil and Joseph each wrote expressions to represent their hourly
earnings for an after-school job where h represents the number of hours
worked. Regina: 6.50h + 16 Phil: 3(2.5h + 5) Joseph: 7.50h + 10 Phil says that there
will never be a week where he and Joseph can earn the same amount of money.
Do you agree or disagree? Explain (Distinguished).
Answer:
Step-by-step explanation:
s
c
h
o
2
l
,
h
,
h
o
u
r
s
,
6.5
h
+
16
,
7.5
h
+
15
,
7.5
h
+
10
,
a
w
e
2
k
Answer:
AGREE
Step-by-step explanation:
I agree because Phill will always have $5 more than Joesph.
(the other answer was a little dumb and confusing.Plz like and give 5 stars thanks!)
I’m stuck on this I need help
The slope of the red line = 2
The y-intercept of the red line = 3
The x-intercept of the red line = -1.5
what is 6/6 in a reduced fraction
Answer:
1
Step-by-step explanation:
Step 1:
6 ÷ 6
Answer:
1
Hope This Helps :)
What is the relationship between Za and Zb?
Answer: B
Step-by-step explanation:
∠a and ∠b are complementary angles. Complementary angles are two angles adjacent to each other that add up to 90°. We know this is true because of the 90° angle that is labelled.
Vertical angles are not adjacent to each other. They are across from each other, connected by the angle. They are equal in angles. It is clear that ∠a and ∠b are not equal in angles. Therefore, they are complementary angles.
a 6 pack of pepsi cost 3.59 how much for one soda
Answer:
.60
Step-by-step explanation:
Answer:
.598 rounds up to .60 a can
Step-by-step explanation:
3.59/6= .598 which rounds up to about .60 a can
what is the inverse function of -8x+14?
Answer:
14 x is the inverse of f(x)=14x f ( x ) = 14 x .
Step-by-step explanation:
Asked to simplify
Can’t be a fraction
Please help
Answer:
27[tex]a^{9}[/tex][tex]b^3\\[/tex]
Step-by-step explanation:
This is what happens
[tex](3)^{3} or (3^1)^{3}[/tex]= [tex]3^{1x3}[/tex] = [tex]3^{3}[/tex] = 27
[tex](a^{3})^{3}[/tex]= [tex]ax^{3x3}[/tex] [tex]a^{9}[/tex]
[tex](b)^{3}[/tex]= [tex]b^{1x3}[/tex] =[tex]b^{3}[/tex]
A tortilla measures 8 inches in diameter what is the tortilla area
Answer:\
C
Step-by-step explanation:
Answer:
50.26548246
Step-by-step explanation:
The equation for finding the area of a circle is radius^2xπ this means you have to divide the diameter by 2 and then square it(times it my itself) and then multiply by π which then gives you 50.26548246 which rounds to 50.27
Which expression could be used to represent a 45% increase? (Question 9)
Answer:
Options (A) and (B)
Step-by-step explanation:
Question (9)
Let a number = x
45% increase in the given number will be = x + (45% of x)
= x + [tex]\frac{45x}{100}[/tex]
= x + 0.45x
= x(1 + 0.45)
= 1.45x
Therefore, there will be the two expressions,
A). 1.45x
B). x + 0.45x
Options (A) and (B) will be the correct options.
4. So
3. Gecko Wireless has a 1000 minute monthly plan
that costs $29.95. Each bill also includes $2.95 for
federal communications tax and $0.05 per minute
over 1000. If m represent the minutes over 1000,
which equation represents the cost, p, of wireless
phone service? (MAFS.912.A-CED. 1.1)
defin
solut
a. P= 29.95 + 2.95
b. P=0.05 + m(29.95 +2.95)
P= 29.95 + 0.05m +2.95
d. P= (29.95 + 0.05)m +2.95. What equation should I use?
Answer:
[tex]P=29.95+0.05m+2.95[/tex]
Step-by-step explanation:
The monthly plan costs starts at $29.95, so we're not changing that.
For each monthly plan, we have to pay a tax of $2.95, so we're not changing that.
If we go over 1,000 minutes, we have to pay $0.05 for every minute we go over, and with the fact that [tex]m[/tex] represents each minute over 1,000, we're going to have to represent minutes over 1,000 as [tex]0.05m[/tex] in our equation.
Set up your equation:
[tex]P=29.95+0.05m+2.95[/tex]
During batting practice 12 balls were pitched to each player if 9 player came to practice how many balls were pitched?
If the player hit an average of 8 balls each, how many balls were hit?
Answer:
108 balls were pitched in total
Step-by-step explanation:
if 9 player came to practice and pitched 12 balls each. the equation would be 9*12=108
hello please asappp!! thank you soo much!
Answer:
I am thinking its 28 degree Fahrenheit
Answer:
28F
Step-by-step explanation:
T(march)-T(january)=38F
T(january)=-10F
T(march)-(-10F)=38F
T(march)=38F-10F=28F
This is a serious question.
What is 69 x 1 59/20
Will give brainliest
Answer:
10971/20
Step-by-step explanation:
69 * 159/20
69/1 * 159/20
69 * 159 = 10971
1 * 20 = 20
So the answer is basically 10971/20.
Determine whether the equation 12y+6=6(2y+1) has one solution, no solution, or infinitely many solutions. If it does have a solution, what is it?
Answer: Infinitely many solutions
Whats the answer : Evaluate 3/7 - 2/28
Did I do this right?
Answer:
no i dont think so
Step-by-step explanation:
1) multiply both sides by p
5/9=-10p
2) divide by -10 to get p
5/9 divided by -10/1
(keep, change flip)
5/9* -1/10
-5/90
therefore p=-5/90
Answer:
No, the answer is -18
Step-by-step explanation:
[tex]\frac{5}{9}[/tex]p = -10
[tex]\frac{5p}{9}[/tex] = -10 CROSS MULTIPLY
-90=5p DIVIDE BOTH SIDES BY 5
-18 = p