Answer: The y-intercept of y = -1/2x -1 is (0,-1)
The y-intercept of y = 1/4x -4 is (0,-4)
The attachment shows the graph of these equations.
Step-by-step explanation:
Both equations are in slope-intercept form. y = mx + b
The constant, b, is the y-intercept.
The y-intercept of y = 1/2x -1 is (0,-1)
The y-intercept of y = 1/4x -4 is (0,-4)
What is y- intercept?On a graph, the y-intercept can be found by finding the value of y when x=0. This is the point at which the graph crosses through the y-axis.
Given:
y=-1/2x-1 and y=1/4x-4
For Finding the y- intercept put x= 0 we get
y = -1/2(0) -1
y= 0- 1
y= -1.
For Finding the y- intercept put x= 0 we get
y=1/4(0)-4
y= 0- 4
y= -4
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. The industrial output of an automobile factory increases by 5% of what it had been in the beginning of
every year. Find the production after 3 years, if the factory turns out 80000 units this year.
367589+667556755788654578645
Answer: 667556755788655000000
Step-by-step explanation: braniliest pls
the scale on a map is 1:25000. how many km on the ground is represented by 6cm on the map?
Given:
The scale on a map is 1:25000.
To find:
How many km on the ground is represented by 6cm on the map?
Solution:
Let x be the km on the ground.
We know that,
1 km = 1000 m
1 m = 100 cm
So,
1 km = 100,000 cm
x km = 100,000x cm
The scale on a map is 1:25000. It means the ratio of map and ground is equal to 1:25000.
[tex]\dfrac{1}{25000}=\dfrac{6}{100,000x}[/tex]
[tex]\dfrac{100,000x}{25000}=6[/tex]
[tex]4x=6[/tex]
[tex]x=\dfrac{6}{4}[/tex]
[tex]x=1.5[/tex]
Therefore, 1.5 km on the ground is represented by 6cm on the map.
50 POINTS! SHOW WORK OR ILL REPORT
Answer:
The larger angle <K, has a measure of 120 degrees.
Step-by-step explanation:
So, a supplementary angle are two or more angles that combine to form a 180 degree straight line. So here, we need to set up an algebra equation.
2x = the larger angle (because it's two times the smaller angle)
x = the smaller angle
So then, you need to set both equal to 180 degrees, since combine they equal 180 degrees
2x + x = 180
3x = 180
x = 60
Using basic algebra, we see that the smaller angle is 60 degrees, but wee need to find the larger angle. Remember, we represented the larger angle as 2x.
2 time 60 is 120, so the larger angle is 120 degrees
Hope that helps :)
Investment: Suppose that you and 3 friends bought equal shares of an investment for a total of $20,000 and then sold it later for only $19,600. How much did each person lose?
Please help me
Answer:
$29.4294294294
Step-by-step explanation:
Which of the following is not true about the inverse of f (x) = = 3x+5
2
Answer Before defining the inverse of a function we need to have the right mental image of function.
Consider the function f(x) = 2x + 1. We know how to evaluate f at 3, f(3) = 2*3 + 1 = 7. In this section it helps to think of f as transforming a 3 into a 7, and f transforms a 5 into an 11, etc.
Now that we think of f as "acting on" numbers and transforming them, we can define the inverse of f as the function that "undoes" what f did. In other words, the inverse of f needs to take 7 back to 3, and take -3 back to -2, etc.
Let g(x) = (x - 1)/2. Then g(7) = 3, g(-3) = -2, and g(11) = 5, so g seems to be undoing what f did, at least for these three values. To prove that g is the inverse of f we must show that this is true for any value of x in the domain of f. In other words, g must take f(x) back to x for all values of x in the domain of f. So, g(f(x)) = x must hold for all x in the domain of f. The way to check this condition is to see that the formula for g(f(x)) simplifies to x.
g(f(x)) = g(2x + 1) = (2x + 1 -1)/2 = 2x/2 = x.
This simplification shows that if we choose any number and let f act it, then applying g to the result recovers our original number. We also need to see that this process works in reverse, or that f also undoes what g does.
f(g(x)) = f((x - 1)/2) = 2(x - 1)/2 + 1 = x - 1 + 1 = x.
Letting f-1 denote the inverse of f, we have just shown that g = f-1.
Definition:
Let f and g be two functions. If
f(g(x)) = x and g(f(x)) = x,
then g is the inverse of f and f is the inverse of g.
Exercise 1:
Return to Contents
Finding Inverses
Example 1. First consider a simple example f(x) = 3x + 2.
The graph of f is a line with slope 3, so it passes the horizontal line test and does have an inverse.
There are two steps required to evaluate f at a number x. First we multiply x by 3, then we add 2.
Thinking of the inverse function as undoing what f did, we must undo these steps in reverse order.
The steps required to evaluate f-1 are to first undo the adding of 2 by subtracting 2. Then we undo multiplication by 3 by dividing by 3.
Therefore, f-1(x) = (x - 2)/3.
Steps for finding the inverse of a function f.
Replace f(x) by y in the equation describing the function.
Interchange x and y. In other words, replace every x by a y and vice versa.
Solve for y.
Replace y by f-1(x).
Example 2. f(x) = 6 - x/2
Step 1 y = 6 - x/2.
Step 2 x = 6 - y/2.
Step 3 x = 6 - y/2.
y/2 = 6 - x.
y = 12 - 2x.
Step 4 f-1(x) = 12 - 2x.
Step 2 often confuses students. We could omit step 2, and solve for x instead of y, but then we would end up with a formula in y instead of x. The formula would be the same, but the variable would be different. To avoid this we simply interchange the roles of x and y before we solve.
Example 3. f(x) = x3 + 2
This is the function we worked with in Exercise 1. From its graph (shown above) we see that it does have an inverse. (In fact, its inverse was given in Exercise 1.)
Step 1 y = x3 + 2.
Step 2 x = y3 + 2.
Step 3 x - 2 = y3.
(x - 2)^(1/3) = y.
Step 4 f-1(x) = (x - 2)^(1/3).
Exercise 3:
Graph f(x) = 1 - 2x3 to see that it does have an inverse. Find f-1(x). Answer
Step-by-step explanation:
pls brain list
Paul got 15 out of 20 questions correct on his test. What percent of the questions did Paul get correct?
Answer:75%
Step-by-step explanation:
To make a fraction into a percent you have to multiply it by 100
So: 15/20 x 100=15x5=75 so he got 75% of his problems right
Can someone give me the answer asap
Answer:
https://brainly.in/...,..,
Answer:
38.4895cm²
Step-by-step explanation:
area of a circle with r=7
3.142×7² = 153.958
153.958/4 = 38.4895
PLEASEEEEEEE HELPPPPPPPPP, I WILL GIVE BRAINLIEST :))
The table below represents the displacement of a horse from its barn as a function of time:
Time Displacement
0 8
1 58
2 108
3 158
4 208
What would be the domain of the function if the horse continued to walk at this rate until it traveled 508 feet from the barn?
What is 2/8 as a decimal and percent
Answer:
0.25 is a decimal and 25/100 or 25% is the percentage for 2/8.
Step-by-step explanation:
The result is: 0.25 and 25% is 2/8 as a decimal and percent.
Here, we have,
given that,
the fraction is: 2/8
now, we have to write as a decimal and percent.
so, we get,
2/8
[ dividing both numerator and denominator by 2 ]
= 1/4
= 0.25
so, we get, 0.25 is a decimal.
now, we have,
0.25 = 25/100 = 25%
so, we have, 25/100 or 25% is the percentage for 2/8.
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I would appreciate it please I need help
Answer:
B. n + 9
Step-by-step explanation:
Given:
n² + 3n - 54
Let's factorize
n² + 9n - 6n - 54
n(n + 9) -6(n + 9)
(n - 6)(n + 9)
Therefore, out if the options given, n + 9 is the expression of the factor of n² + 3n - 54.
You and some friends are at a Chinese restaurant. You order several `\$2.00` plates of wontons. Your bill is `\$24`. How many plates of wontons did you order?
Answer:
12
Step-by-step explanation:
It does not say what the tax is so the answer would be 12. You just divide 2 by 24.
Answer:
12
Step-by-step explanation:
24 divided by 2 is 12 or 2 times 12 is 24
mark me brainliest
Find the area of the trapezoid.
4 cm
12 cm
3
cm
Answer: 30
Step-by-step explanation:
A=a+b
2h=12+3
2·4=30
Answer: 24
Step-by-step explanation:
The equation w(t)=100+40t models the weight (w(t) in grams) of a male white laboratory rat t weeks after its birth.
What is the rate of change? What does it mean in the context of the problem?
What is the y-intercept? What does it represent in the context of the problem?
Answer:
Step-by-step explanation:
1 A lawnmower that regularly sells for $200 is on sale for $85. Find the % of change that the price was decreased by ??? percent. Round to the nearest whole percent.
Answer:
The price changed by 92.5 %
Step-by-step explanation:
The regular price of lawn mover = 200 dollars
The new selling price = 85 dollars
Change in selling price = 200 -85 dollars = 115 dollars
% change == [tex]\frac{185}{200} * 100 = 92.5[/tex]
The price changed by 92.5 %
Kyle wants to wrap the box in wrapping paper.
A rectangular prism with a length of 18 inches, width of 6 inches, and height of 3 inches.
What is the minimum amount of paper needed to cover the entire box?
180 inches squared
324 inches squared
360 inches squared
648 inches squared
Answer: 360 in. squared
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I did it and got it right
If you monthly salary is 5,167 and 28% is withheld for taxes and social security. How much money will be withheld from your check?
Answer:
jjjjjjj
Step-by-step explanation:
nnnnnnn
a dog walks 696 steps in 12 minutes. how many steps in 12 minutes
Answer:
696 steps
Step-by-step explanation:
the graph of a system of linear equation is shown below
Answer:
B
Step-by-step explanation:
Help me please i font get it
Answer:
the last one, w-9
Step-by-step explanation:
plug in the given (9) for w and solve
Hope this helps :)
Answer:
Step-by-step explanation:
9-9=0 not 14
so w-9 is not a solution
Which conic section is represented by the following equation? 9x^2 – 5x – 3y^2 – 2y + 4 = 0
Answer:
D. Hyperbola
Step-by-step explanation:
I put B but it was wrong
D is the right answer
The given equation is represent a ''Hyperbola''.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ 9x² - 5x - 3y² - 2y + 4 = 0
Now, We know that;
The standard form of the equation is,
⇒ ax² + by² + 2gx + 2fy + 2hxy + c = 0
For Hyperbola, The condition is,
⇒ h² > ab
For Ellipse , The condition is,
⇒ h² < ab
Here, We have;
⇒ h = 0
⇒ a = 9
⇒ b = - 3
⇒ ab = 9 x - 3 = - 27
⇒ h = 0
Hence, We get;
⇒ 0 > - 27
⇒ h² > ab
Thus, This equation is represent a ''Hyperbola''.
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what is a scale? in math
Find 9079 + 1232 + 9786.
Diane has 7 meters of fabric to make a dress. One meter is approximately 1.1 yards. How many yards of fabric does Diane have?
Answer:
7.7 yards & 14.04 gallons
Step-by-step explanation:
so theres 1.1 yards per meter which can be written out as
1.1 yds/1 meter
multiply that by 7 meters would get you 7.7 yards
same with the punch:
0.26 gallons/ 1 liter times 54 liters = 14.04 gallons
Lacy is given a kite with one diagonal....please click photo to see the question
Answer:
the choice shown is correct. A reflection across diagonal BD.
Step-by-step explanation:
Answer:
your right, its A.
Step-by-step explanation:
An 180 rotation would result it with point C being below point A, not making it congruent. A translation is also not possible. A dilation would do nothing. A relfection on the other hand, would make both sides congruent.
is this the right answer?
what is the volume of a sphere with a radius of 16 cm use 3.14
Answer:
volume is 17157.28 :)
Step-by-step explanation:
What type of transformation transforms (a, b) to (-a, b)?
a reflection over the y-axis
a translation of 1 unit down
a reflection over the x-axis
a translation of 1 unit up
Answer:
A reflection over the y axis .
Step-by-step explanation:
Given : Transforms (a,b) to (-a,b).
To find : What type of transformation.
Solution : We have given
Parent function : (a,b) .
Transformed : (-a ,b).
Transformation rule of reflection over y axis : ( x, y) →→ ( -x ,y).
Then we can say in transformation (a,b) →→→→ (-a,b).
Therefore, A reflection over the y axis
Step-by-step explanation:
plz brain list
Answer:
hes right i took the test
Step-by-step explanation:
Add the fractions. Reduce the answer to lowest terms.
8\9+1/9
Answer:
1
Step-by-step explanation:
8 + 1 = 9/9
- -
9. 9
What single percentage change is equivalent to a 11% increase followed by a 15% increase?
Answer:
It's a total increase by 27,65%
Step-by-step explanation:
1,11 × 1,15 = 1,2765
1,2765 = +27,65%