Answer:
z/k + 8 = x
Step-by-step explanation:
z=(x-8)k
Divide both sides by k
z/k = x - 8
Add 8 to both sides
z/k + 8 = x
2. Let f(x) = 4x + 12 and g(x) = 4x2 – 12.
(a) What is the inverse of function f?
(b) Is f an inverse of g? Show your work algebraically and explain your answer
Answer:
Answer:
(a) f^-1(x) = 1/4x -3
(b) f is not the inverse of g
Step-by-step explanation:
(a)The inverse of function f can be found by solving ...
x = f(y)
x = 4y +12
x -12 = 4y
x/4 -3 = y
The inverse of function f is ...
f^-1(x) = 1/4x -3
__
(b)g(x) ≠ f^-1(x), so g^-1(x) ≠ f(x). Function f is not an inverse of g.
_____
Additional comment
Function g is a quadratic, so it doesn't have an inverse function, except on a restricted domain.
Because g is 2nd degree, any inverse relation will involve a 1/2 power (square root). Both f and its inverse are linear functions, so cannot be inverses of g.
Solve the system of linear equations.
13x+y=1
2x+6y=6
Answer:
x = 0 and y = 1 Solution: (0, 1)
Step-by-step explanation:
13x + y = 1 multiply by -6 ⇔ -78x - 6y = -6
2x + 6y = 6 do not change ⇔ + 2x + 6y = 6
-76x = 0
x = 0
Use the second equation to solve for y if x = 0
2x + 6y = 6
2(0) + 6y = 6
0 + 6y = 6
6y = 6
y = 1 Solution (0,1)
What is the slope of the line that passes through the points (-2, -5)(−2,−5) and (-3, -6) ?(−3,−6)? Write your answer in simplest form.
Answer:
0 & 0
Step-by-step explanation:
In order to find the answer to these two questions you need to use the slope formula, substitute, subtract, and simplify if needed.
[tex](-2,-5),(-2,-5) = (x^1,y^1),(x^2,y^2)[/tex]
Slope formula = [tex]m=\frac{y^2-y^1}{x^2-x^1}[/tex]
Substitute: [tex]\frac{-5--5}{-2--2} =[/tex]
[tex]\frac{-5--5}{-2--2} =-5--5 = 0[/tex]
[tex]-2--2 = -2+2=0[/tex]
[tex]= 0[/tex]
[tex](-3,-6),(-3,-6)=(x^1,y^1),(x^2,y^2)[/tex]
[tex]m=\frac{-6--6}{3--3}[/tex]
[tex]-6+6=0[/tex]
[tex]-3+3=0[/tex]
[tex]=0[/tex]
Hope this helps.
There are blue, red and white counters in a bag in the ratio 16 3 2 There are 112 more blue counters than white counters. How many white counters are there?
We will have 16 white counters in the bag.
Given that there are blue, red, and white counters in a bag in the ratio 16:3:2, the total number of balls will be:
Total = 16 + 3 + 2Total = 21If there are 112 more blue counters than white counters, then;
number of blues = number of white + 112
16x = 2x + 112
14x = 112
x = 8
Number of white counters = 2x = 2(8) = 16
Therefore we will have 16 white counters in the bag.
Learn more on ratios here: https://brainly.com/question/2914376
Write the inequality that represents the solution set to the given inequality below.
|x−3|<15
Group of answer choices
12 x>−18
−12>x>18
Answer:
-12 < x < 18
Step-by-step explanation:
x-3 < 15
x < 18
and
-x + 3 < 15
-x < 12
x > -12
Hey y’all can u please give me the correct answer.
Step-by-step explanation:
-8 - 6x < 1
Bringing like terms on one side
-6x < 1 + 8
-6x < 9
x < 9/-6
x < 3/-2
I think the correct answer is none
Please find the surface area of the prism... I will mark you brainliest
Answer: 1618 cm^2
The formula to find surface area of a cuboid is 2(ab + bc + ca)
2(19*3.5 + 3.5*33 + 33*19)
--> 1618
Question
Write an equation of the line passing through the point A(8, 2) that is perpendicular to the line y = 4x−7.
Answer:
y = m x + b equation of a straight line
m m' = -1 condition for perpendicular lines
If y = 4 x - 7 then m = 4 so m' = -.25
Y = -.25 X + A we need to find A
A = Y + .25 * 8 = 2 + 2 = 4
Y = -.25 X + 4
Check:
2 = -.25 * 8 + 4 = -2 + 4 = 2
what is the equation of a line that passes through the points (0,0) and (5,2)
Answer:
y = 2/5x
Step-by-step explanation:
in order to get the y-intercept (b) , the value of x has to be zero. we already have the y-intercept which is zero. so far, the equation looks like this:
y = mx + 0
in order to find the slope, we'll do y2-y1 / x2 - x1:
2-0
5-0
m is 2/5, so the answer is:
y = 2/5x
Your bill at a restaurant is $68 and you want to leave a %20 tip what is the total amount you will leave
Answer:
$81.6
Step-by-step explanation:
You multiply 0.2 by 68, in which you will get 13.6, and then you add that to 68.
through: (3, 5), slope = 5/3
Explain please
Step-by-step explanation how to get answer:
Slope is Rise over Run
Find point (3, 5) and go up 5 and over 3 from that point & mark it, keep going in that pattern until you have a line.
For going opposite ways, do the opposite function; go down 5 and left 3 to have a complete straight line.
1. For each incomplete expression, indicate the number that will result in the expression
being equal to 0.
Expression
2 -
3 +
4-
5+
6-
7+
Answer
Answer:
2-2=0, 3+(-3)=0, 4-4=0, 5+(-5)=0, 6-6=0, and 7+(-7)=0
Step-by-step explanation:
i have no idea what math this is or what its looking for so please comment how to improve the answer
Solve the inequality. Graph the solution 3x <-5/4 I just need help on graph
Step-by-step explanation:
Solution is already given:
3x ≤ - 5/4x ≤ -5/12Graph the inequality:
1. Select the point - 5/12 on the number line. Count 5 dots starting from zero going left. It is already divided by 12 parts.2. Make it full dot3. Add a line to the left from the dotAnd you are done
So Graph it
Put a close dot on -5/12 as it's ≤ sign givenThen draw a arrow left wards as x is less than the close dotv = 128 – 32t
v is the velocity in ft/sec. It is NOT the height of
the ball.
t is the number of seconds after the ball is
thrown.
With what initial velocity is the ball thrown?
128 seconds
s
What is the y-intercept of the equation?
IS
[ Select]
What does the y-intercept mean?
t
[ Select ]
What is the x-intercept of the equation?
[ Select]
What does the x-intercept mean?
Select]
7
10
-
-
с
80°F
Answer: The Y intercept is 128 as well, which is the original velocity. Technically it should be v - intercept but whatever. The y / v intercept is the original velocity. The X intercept should be the t intercept but again whatever. The x/t intercept is 4, meaning that the velocity is zero when t is 4
Step-by-step explanation: y/v intercept is when t = 0. v = 128 - 32(0) = 128
It is the initial velocity at t = 0. The X/t intercept is when v = 0. 0 = 128 - 32t, so 32t = 128, so t = 4. The x intercept means when the velocity is zero, which means that the ball is at its highest/farthest point.
Need help l don’t understand new topic
7x - 2 = 5x + 14
7x - 5x = 14 + 2
2x = 16
x = 16/2
x = 8
______
Hope it helps ⚜
Answer:
x = -8
Step-by-step explanation:
[tex]7x - 2 = 5x + 14 \\ 5x - 7x = 14 + 2 \\ - 2x = 16 \\ \frac{ - 2x}{ - 2} = \frac{16}{ - 2} \\ x = - 8[/tex]
Plzzzz help meee plzzzzzzz
Answer:
the answer is d
Step-by-step explanation:
Define Equilateral, isosceles and scalene triangles.
Answer:
Equilateral triangles have 3 congruent angles, measuring 60 degrees each. Isosceles triangles have 2 congruent angles, and scalene triangles have no congruent angles.
Step-by-step explanation:
SOLVE THIS ASAP PLEASE
(5 + 4 - 2) x (-2) = ?
A. 22
b. -22
c.14
d. -14
help me pls... ....
Step-by-step explanation:
A1
1 yard = 3 feet
1 foot = 12 inches
therefore,
100 yards = 100×3×12 inches = 3600 inches
A2
again, 1 yard = 3 feet
8 ft = 8/3 = 2.67 yards = 2 2/3 yards
A3
1 gallon = 8 pints
A4
1 liter = 1000 milliliters (remember, "mili" means 1/1000).
therefore,
2.2 liters = 2.2×1000 = 2200 milliliters
A5
again, 1 liter = 1000 milliliters
therefore
1 milliliter = 1/1000 liter
670 milliliters = 670 × 1/1000 liter = 670/1000 liter =
= 0.67 liter
B1
1 kg (kilogram) = 1000 grams ("kilo" means 1000).
we have 3 layers.
each layer weighs (cake plus icing)
1/2 kg + 100 g = 500 g + 100 g = 600 g
3 layers then weigh
3×600 g = 1800 g
the additional candle weighs 250 g.
so, the total is
1800 g + 250 g = 2050 g = 2.05 kg
B2
area is 110 m².
1 m = 100 cm ("centi" means 1/100).
and 1 m² is then 100×100 = 10000 cm².
so, the area in cm² is
110 × 10000 = 1,100,000 cm²
the top area of one brick = 10 × 20 = 200 cm²
so, we need
1,100,000 / 200 = 11,000 / 2 = 5500 bricks
Simplify the expression
x - (-2x + 4)
plz help thank you so much thumbs up
Answer:
1. B - 12.5 miles per hour
2. A - 0.36 hours
At a restaurant your total bill is $45. Sales tax is 5%. What is your total bill after tax?
Answer:
47.25
Step-by-step explanation:
Heres how I found the answer:
if sales tax is 5%, then we need to find 5% of 45 and add it to 45!
5% of 45= 2.25
(I found this by doing 45*5%, or 45*.05)
Now, add 2.25 to 45!
Total bill=47.25 dollars
Hope I could help!
A school bookstore has the following items for sale.
A sign that shows that a notebook costs 2 dollars and 89 cents, a pencil costs 79 cents, and a folder costs 1 dollar and 35 cents.
Part A
How much will Luke pay for 4 notebooks? Enter your answer in the box.
$
11.56
Part B
Traci uses partial products to find the cost of 14 pencils.
A piece of paper has the following text writte on it. 14 pencils at 79 cents each. 10 times 0.7 equals 7. 10 times 0.9 equals 9. 4 times 0.7 equals 2.8. 4 times 0.9 equals 3.6. 7 dollars plus 9 dollars plus 2 dollars and 80 cents plus 3 dollars and 60 cents equals 22 dollars and 40 cents.
Which explains whether or not Traci’s partial products are correct?
Traci's partial products are not correct. She should have multiplied 10 × 0.09 and 4 × 0.09. The actual cost is $11.06.
Traci's partial products are not correct. She should have multiplied 10 × 0.07 and 4 × 0.07. The actual cost is $13.58.
Traci's partial products are not correct. She should have multiplied 4 × 0.07 and 4 × 0.09. The actual cost is $16.64.
Traci's partial products are correct. The actual cost is $22.40.
5i/x-5i what is the simplest form?
51/x - 5i
this is the answerrrr
While driving to Aunt Pat’s house we filled up our tank of gas. We traveled 2/5 of the way. How much further do we have to travel?
Answer:
3/5
Step-by-step explanation:
Please help.
I) Determine the remainder when f(x)= 2x³+bx²+2x+5 is divided by x+1.
If the remainder when f(x) is divided by (x-2) is equal to the remainder in I) calculate the value of b.
Here is the remainder for both. No the remainders are not equal.
Bub buys a t - shirt for $7.45. He pays with a $20 bill . How much change will he get
Answer:
12.55
Step-by-step explanation:
Jane went to get her hair cut and colored before Christmas. The hair stylist told her it would cost $80, but Jane wanted to leave a 15% tip how much would her tip amount be how much will it cost her including the tip
Answer:
12$ tip together is will be 92$
Step-by-step explanation:
Please Help I will vote Brainliest!
Hank has read 25 percent of his book. If Hank has read 150 pages, which equation can be used to find the total number of pages in the book?
StartFraction 25 times 6 Over 100 times 6 EndFraction = StartFraction 150 Over 600 EndFraction
StartFraction 100 times 4 Over 25 times 4 EndFraction = StartFraction 400 Over 100 EndFraction
StartFraction 25 divided by 1 Over 150 divided by 1 EndFraction = StartFraction 25 Over 150 EndFraction
StartFraction 150 divided by 2 Over 100 divided by 2 EndFraction = StartFraction 75 Over 50 EndFraction
Answer:
x = 600 pages
Step-by-step explanation:
Let the total books pages be x
Given that
Hank had read = 25% of x
25% of x = 150
=>
Multiplying both sides by 4
=> x = 150 * 4
=> x = 600 pages
Step-by-step explanation:
There you go.
Answer:
C
Step-by-step explanation:
Please help with my math! I need the answer quick! :( *It's been so long since I've done the math LOL*
Answer:
unit rate 1:8
Step-by-step explanation: