[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]
_____________________________________________
2x + 6 = 2(x+3)
A x=0
B no solution
C infinite many solutions
Step-by-step explanation:
2x + 6=2(x+3)
2x+6=2x+6
4x=0
x=0/4
No answer/no solution
2x + 6 = 2(x+3)
2x + 6 =2x+6
2x-2x=6-6
x=0
I guess I was help full for u
4. A rectangle is a four-sided flat shape where every interior angle is a right angle.
Therefore, opposite sides are parallel and consecutive sides are perpendicular.
Rae is drawing rectangle PQRS on a coordinate plane. The rectangle has
coordinates P(-1,2), Q(2,4), R(x, y), and S(3,-4).
Answer:
coordinates of R(x,y) is R(6,-2).
Step-by-step explanation:
A. we know that
The rectangle has coordinates P (-1,2), Q(2,4), R(x,y) and S(3,-4)
using a graph tool
see the attached figure
Step 1
Find the slope of the line PS
the slope is equal to
m=(y2-y1)/(x2-x1)
mPS=(-4-2)/(3+1)=-6/4=-3/2
Step 2
Find the equation of the line QR
we know that
PS and QR are parallel lines
so
their slopes are the same
mQR=-3/2
with mQR and the point Q(2,4) find the equation of the line
y-y1=m*(x-x1)
y-4=(-3/2)*(x-2)
y=(-3/2)*x+3+4--------> y=7-(3/2)*x
Step 3
Find the equation of the line SR
we know that
SR and QR are perpendicular lines
so
the product of their slopes is equal to minus one
mSR*mQR=-1
mSR=2/3
with mSR and the point S(3,-4) find the equation of the line SR
y-y1=m*(x-x1)
y+4=(2/3)*(x-3)
y=(2/3)*x-2-4---------> y=-6+(2/3)*x
Step 4
Find the intersection of the lines QR and SR
we know that
the intersection of the lines QR and SR is the point R
y=7-(3/2)*x------> equation 1
y=-6+(2/3)*x------> equation 2
equate equation 1 and equation 2
7-(3/2)*x=-6+(2/3)*x
7+6=(2/3)*x+(3/2)*x
13=(2/3)*x+(3/2)*x
Multiply by 6 both sides
6*13=4*x+9*x
13*x=6*13
x=6
find the value of y
y=-6+(2/3)*x------> y=-6+(2/3)*6---------> y=-6+4
y=-2
therefore, the coordinates of point R are (6,-2)
14. The diameter of carbon atom is about 3.4 x 10-7 millimeter. Is it more appropriate to report the diameter of carbon atom
as 3.4 x 10-7 millimeter or 3.4 x 10-13 kilometer? Explain your reasoning.
I
Answer:
it depends
Step-by-step explanation:
I like to choose the units to be compatible with the use of the number.
In Engineering, we often choose units so the number itself is between 1 and 1000. Here, that means 3.4×10^-7 mm would be better expressed as 3.4 angstroms or 340 pm (picometers). (The purpose of SI prefixes is to facilitate this way of representing metric measures.)
If you're comparing the length to something measured in km, then the representation as 3.4×10^-13 km might be the most useful
If you're comparing the distance to something measured in mm, then 3.4×10^-7 mm would be more appropriate than 3.4×10^-13 km.
Please Help due tonight really need help It's a grade
Joey gets an allowance of $17 per week. He wants to buy a new basketball that costs $43.67. When will Jose be able to buy the basketball if he has already saved $22.22, but also has to pay $13.45 each week for snacks and school supplies? make an equation or inequality and solve. Show your work
Answer:
7 weeks
Step-by-step explanation:
Joey gets 17 per week
[tex]17x[/tex] with x the number of weeks
he wants to buy a basketball cap that 43.67
[tex]equation\geq 43.67[/tex]
he has already saved 22.22
[tex]+22.22[/tex]
has to pay 13.45 each week
[tex]-13.45x[/tex]
[tex]17x+22.22-13.45x\geq 43.67\\\\(17x-13.45x)+22.22\geq 43.67\\\\3.55x+22.22\geq 43.67\\\\3.55x\geq 43.67-22.22\\\\3.55x\geq 21.45\\\\x\geq \frac{21.45}{3.55} \\\\x\geq 6.04...[/tex]
but we don't wake a 0.4 of a week so we need the next whole number 7
so it will take 7
Which statement is NOT true about Rational Numbers? *
Whole Numbers are Rational Numbers
Only fractions are Rational Numbers
Integers, Whole Numbers, and Natural Numbers are Rational Numbers
Repeating decimals and terminating decimals are Rational Numbers
Answer:
Integers, Whole Numbers, and Natural Numbers are Rational Numbers
Step-by-step explanation:
Hope it helps :3
1. CD Express offers 4 CDs for $60. Nuse Place
offers 6 CDs for $25. Which store offers the
better buy?
Answer:
Answer 2.
Step-by-step explanation:
4 CDs for $60 vs 6 CDs for $25?
At CD Express you'll spend $240 while only spending $150 at Nuse Place.
What is the degree of 5x3 + 2x2y3z?
Answer:
stylo fabric customer care 9903160322##8944928267
Answer:
the degree is the largest exponent on the variable
answer - 6
three friends all live on the same street that runs west to east. Beth lives 6 blocks from Al. Carol lives 2 blocks from Beth. If the street is represented by a number line and Al’s house is located at 0, what are the possible locations for Carol’s house?
Answer:2, -2, 6 or -6
Step-by-step explanation:
Given,
The location of Ann's house in the number line = 0,
∵ Ben lives 4 blocks from Ann.
So, the possible location of Ben's house = 4 ( right of ann's house ) or - 4 ( left of ann's house )
Now, Carl lives 2 blocks from Ben,
So, the possible location of Carl's house
Case 1 : If Ben's house location is 4 = 2 ( left of ben's house ) or 6 ( right of ben's house )
Case 2 : If Ben's house location is -4 = -2 ( right of ben's house ) or -6 ( left of ben's house )
Find the x-values for which f(x) = g(x)
if you know that f(x) = x2 and g(x) = 9.
Answer: X = 3
x2 = 9
x = 3
Step-by-step explanation:
All you have to do is divide!
What is -2(x + 3 ) = -2x-6
Answer:
0 = 0 (infinite solutions)
Step-by-step explanation:
-2(x+ 3) = -2x - 6
Multiply -2 to x and 3
-2x -6 = -2x - 6
Add 2x on one side to get zero, and add 6 to the other side to get 0
0 = 0
There are infinite solutions
Round 5.823 to the nearest whole
Answer:
6
Step-by-step explanation:
you would round 5.823 to 6 because the first decimal place it higher than 5 a way to remember this is 5 or more let it soar(round up) 4 or less let it rest( keep the whole number and remove the decimal)
Use the model to solve for x.
A) no solution
B) x = 3
C) x = -3
D) x = - 3/2
-1/2x+3=-x+7 what does x equal
Answer:
x = 8
Step-by-step explanation:
-1/2x+3=-x+7
Add x to each side
-1/2x+x+3=-x+x+7
1/2x +3 = 7
Subtract 3 from each side
1/2x +3-3 = 7-3
1/2x = 4
Multiply each side by 2
1/2x *2 = 4*2
x = 8
Ann Clair and josh collect sticker one week Ann collects 7 more sticker then josh josh collect twice as many stickers as Claire. If they collect a total of 157 stickers how many sticker did each collect
Answer:
Ann: 67Clair: 30Josh: 60Step-by-step explanation:
If we let A, C, and J represent the number of stickers collected by Ann, Clair, and Josh. respectively, then we have the relations ...
A = J +7
J = 2C
A + C + J = 157
__
Substituting the first equation into the last, we have ...
J +7 + C + J = 157
C +2J = 150 . . . . . . . collect terms, subtract 7
Substituting the second equation into this one, we have ...
C +2(2C) = 150
C = 150/5 = 30 . . . . divide by the coefficient of C
J = 2·30 = 60
A = 60 +7 = 67
Ann collected 67 stickers, Clair collected 30, and Josh collected 60 stickers.
Answer:
Ann has 67
Josh has 60
Claire has 30
Solve for k.
7k - 2 ≥ -9
Answer: k ≥ -1
Step-by-step explanation:
7k - 2 ≥ -9
add two to both sides
7k ≥ -7
k ≥ -1
Answer:
k ≥ -1
Step-by-step explanation:
7k - 2 ≥ -9
add 2 to both side
7k ≥ -7
divide both sides by 7
k ≥ -1
Order the following from least to greatest: 14 -6, 0, 8, 3.4, -8, 2
Answer:
-6. -8 0 3.4 6 8 14
Step-by-step explanation:
I think I am correct
Answer:
-6. -8 0 3.4 6 8 14
Hope I helped ya
slove 5y-3w if y=2 and w=-3
Answer: 19
Step-by-step explanation:
Just plug in your variables
5(2) - 3(-3)
10 + 9
Answer:
the answer is 1
Step-by-step explanation:
5 x 2 is 10 and 3 x 3 is 9 so then 10 - 9 is 1
What energy transfer is occurring when a battery-powered toy rolls across the floor?
(3 points)
1) Stored mechanical energy is converted to thermal energy.
2) Stored mechanical energy is converted to mechanical energy.
3) Stored chemical energy is converted to thermal energy.
4) Stored chemical energy is converted to mechanical energy.
Answer:
4) Stored chemical energy is converted to mechanical energy.
Step-by-step explanation:
The battery represents energy stored in the form of chemical compounds. The motion represents mechanical energy. The transfer occurs between these forms of energy.
4) Stored chemical energy is converted to mechanical energy.
I can't find the value of Y
114 = 19y
This is true because they are vertical angles. Now, let's divide both sides by 19
6 = y
Answer:
The value of y° must be 6°
Step-by-step explanation:
19y° = 114°{being vertically opposite angle}
or, y° = 114°/19
or, y° = 6°
Is a decimal and integer
Answer:
Integers are whole positive numbers and whole negative numbers decimals are not integers.
Step-by-step explanation:
Answer:
No, a decimal is a Rational number. Integers are whole numbers.
Step-by-step explanation:
Real number system Diagram Below
Consider this polynomial equation.
Use the equation to complete this statement.
The equation has solutions. Its real solutions are .
Answer:
The equation has 5 solutions and its real soluations are x=3, +sqrt2, -sqrt2, and -1
Step-by-step explanation:
Answer:
x = 3, -1, 2, -2
Step-by-step explanation:[tex]x^{2}[/tex]
6([tex]x[/tex]-3)([tex]x^{2}[/tex]+4)([tex]x[/tex]+1) = 0
6([tex]x[/tex]-3)([tex]x[/tex]+2)([tex]x[/tex]-2)([tex]x[/tex]+1) = 0
Using the fact that ([tex]x^{2}[/tex]+4) = ([tex]x[/tex]-2)([tex]x[/tex]+2) - known as the difference of two squares rule
Thus solve by inserting values of [tex]x[/tex] that will result in the equation equating to 0.
ie: if [tex]x[/tex] = 3,
6(3-3)(3+2)(3-2)(3+1) = 0
0=0
RHS = LHS therefore true
WHAT is 1+6+8+9+7-5+81
Step-by-step explanation:
1+6+8+9+7-5+81
= 107
....
Constanza le hizo una caja de regalo a su papá. La medida de una de las aristas de la caja es de 15 cm. Si la caja tiene forma de un cubo. ¿Cuántos cm2 de papel de regalo deberá ocupar como mínimo para forrar la caja?
Answer:
Constanza ocupará, como mínimo, para forrar la caja:
1350 cm²
para forrar la caja
Step-by-step explanation:
En un cubo cada una de las aristas que lo conforman miden lo mismo.
Un cubo tiene 6 caras.
La formula del área del área de las 6 caras del cubo es:
área total del cubo = a = 6*arista²
en este caso:
a = 6*(15cm)²
a = 6 * 225 cm²
a = 1350 cm²
Answer:1350 cm²
Step-by-step explanation:idfk
2(x + 4) = 3(2x - 2)
HELP!!!
Answer:
7/2 = x
Step-by-step explanation:
2(x + 4) = 3(2x - 2)
Distribute
2x+8 = 6x -6
Subtract 2x from each side
2x-2x+8 = 6x-2x -6
8 = 4x -6
Add 6 to each side
Add 6 to each side
8+6 = 4x-6+6
14 = 4x
14/4 = 4x/4
7/2 = x
Answer:
x= 7/2
Step-by-step explanation:
2x + 8 = 6x - 6
2x - 6x = -6 - 8
- 4x = -14
x = 7/2
HELPPP pleaseeeeeeeee
Answer:
ok ok easy lol oh my good what I'm did do have he told ya he bc do is so in by he do oh my God he told
What is 8.904. x 9095.865 =
Answer:
80989.58196
Step-by-step explanation:
Answer:
80,989.5018
Step-by-step explanation:
a.
7
L 1. Andrew's hobby is mountaineering. He
started his hike at 250 feet above sea level.
When he reached the peak of the mountain
he was at 1700 feet above sea level. How
many feet did Jake hike up the mountain?
Answer:1700
Step-by-step explanation:
In total, he traveled 1700 feet. He had to get to the 250ft starting point somehow, so you would count that as the overall total distance traveled.
Find 4ac when a=3 and c+39
Answer:
468
Step-by-step explanation:
a=3 and c=39
4(3)(39)
468
i believe you accidently wrote c+39 instead of c=39 :)
Answer:
468
Step-by-step explanation:
Replace:
4(3)(39)
=468
Select all the sums that are positive.
A. -5 + (-2)
B. 5+(-2)
C -3 + 4
D. 0 +(-3)
E –2 +4
please help
Find the distance between the points J( - 8.0) and K(1, 4).
Answer:
I hope yo got the answer