the function g is a transformation of f if g has a y-intercept at -1 which of the following functions could represent g
Answers
9514 1404 393
Answer:
A.
Step-by-step explanation:
The function f has a y-intercept of -5. The function g's y-intercept of -1 is 4 units up from that, so one way to represent g is ...
g(x) = f(x) +4
The required function is g(x) = f(x) + 4. Hence, Correct option is A.
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.
According to the graph,
The given curve has y intercept at y = -5.
Which implies that when we add 4 to the function intercept shifts to y = -1 although it is the required intercept of new function g(x).
Thus, the required g is g(x) = f(x) + 4
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Related Questions
Clair collects seashells. At home, she has 15 shells. Every day she brings 3 back to the beach. After 5 days how many seashells will Clair have?
x= days
y= number of shells
Make a table, graph (find slope), equation, define variables, and answer the question.
Answers
The equation would be:
y = 3x + 15
1) Table: It is pretty easy to do so, just plug in 0, 1, 2, 3, etc. for x and solve for y
2) graph (find slope): slope would be 3 shells/day that has a y-intercept of 15
3) you already defined the variables
4) 3(5)+15 = 15+15 = 30 seashells
I hope this helps!
A 11 1/4 candle burns in 9 hours at what rate does the candle burn per hour
i really need help on this one
Answers
Answer:
Step-by-step explanation:
Answer:
The candle burns out 1 [tex]\frac{1}{4}[/tex] per hour. (or [tex]\frac{5}{4}[/tex])
Step-by-step explanation:
1. Convert 11 [tex]\frac{1}{4}[/tex] into an improper fraction ([tex]\frac{45}{4}[/tex])
2. Divide [tex]\frac{45}{4}[/tex] by 9 to find the rate
3. You should get 1 [tex]\frac{1}{4}[/tex] (mixed number) or keep it as an improper fraction( [tex]\frac{5}{4}[/tex] )
Hope this helps!
2(7-3)+4(10÷2) use the oder of operations to simplify
Answers
Answer:
the answer is 28
Step-by-step explanation:
2×4+4+5
8+20
28
A file that is 228 megabytes is being downloaded. If the download is 19.7% complete, how many megabytes have been downloaded? Round your answer to the
nearest tenth.
Answers
Answer: 56.7 megabytes
Step-by-step explanation:
how do you solve distributive properties ?? and pre algebraic expressions/equations i have a test over it all and i'm in 7th grade plz help ASAP
Answers
Answer:
I was totally in your shoes then..
Step-by-step explanation:
Watch Fort Bend Tutoring on YT, he got me through those math problems...I can assure it will help, and he makes Math fun
- (- 12)=
please help me
Answers
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
When you multiply two minus signs, you get a positive sign.
- * - = +
So -(-12) = + 12
Hope this helps!
Which one is the right answer?
Answers
Answer:
D
Step-by-step explanation:
First of all, i mean A and B are out first thing because you don't have enough information to find out if it's true.
C is incorrect because as stated before, not enough information.
However,
You know that the angles 1-8 are all supplementary, which means that 1 and 2 can be added to make 180 degrees, as so can 3 and 4, 3 and 1. 2 and 4, blah blah blah.
In D, the angles that are being added are supplementary, because the three lines making up that weird figure is adjacent and is parallel to each other.
If you give one of the angles a degree, you know that 180-x with x being that degree, will equal the other angle on the other side of the lines.
Therefore its D.
Edit:
I just realized that theres an angle stated at the top of the screen. Still with that angle given, A and B is incorrect and the answer is still D.
When comparing slopes which is steeper?
Answers
Usually the one with the more vertical line would be steeper.
PLEAEE HELP!!!
Which term describes the distance from the center of a circle to any point on
the circle?
O A. Circumference
B. Diameter
O C. Center
D. Radius
Answers
Answer:
D. Radius
The Radius is half the diameter. The center of the cirlce is like the half way point in the circle. The diameter goes from one end of the cirlcle to another passing through the center. If the line goes from the center to any point on the circle that is the radius.
The term describes the distance from the center of a circle to any point on
the circle is the radius.
Option D is the correct answer.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is πr².
We have,
The distance from the center of a circle to any point on
the circle is the radius.
Now,
Diameter is the distance that passes the center from any two points on the circumference.
Thus,
The term describes the distance from the center of a circle to any point on
the circle is the radius.
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can someone help me with this
Answers
Step-by-step explanation:
bro its B.52° its pretty simple
I need help my mom is going to kill me
Answers
Answer:
x=8
m<FGH=32
m<HGI=32
m<FGI=64
Step-by-step explanation:
The first thing you're going to do is form an equation using 5x-8 and 6x-16. The reason for this is because the two angles FGH and HGI are congruent. You form an equation by setting the two equal to each other. LIke this:
5x-8=6x-16
Then you will find x which is 8. After you find x just plug in x for one of the equations like so:
5(8)-8=_ or 6(8)-16=_
You only need to plug in x for one of the angles because they are congruent so you will get the same answer.
To find the measurment of FGI you add the values from FGH and HGI together (32+32) and you'll get 64.
If f(x)=3x-7, find f(5). *
Answers
Answer:
f(5) = 8
Step-by-step explanation:
3(5)-7
15-7
8
Answer:
f(5)= 3(5) -7
f(5)= 15-7
f(5)= 8
Step-by-step explanation:
just substitute x for 5 and you get the answer
which of following graphs a direct variation
Answers
The perimeter of the polygon below is___
units.
Answers
A triangle has sides measuring 8 inches, 5 inches and 4 inches. How would you classify it?
Answers
Answer:
Acute triangle because the angles are smaller than a right triangle
Step-by-step explanation:
As 5² + 4² < 8² it falls into the category of a² + b² < c², therefore it is an acute angle triangle.
What is the way of classifying a triangle?If a² + b² < c² then it is an acute angle triangle.
If a² + b² = c² then it is a right-angle triangle.
If a² + b² ≥ c² then it is an obtuse angle triangle.
Given, A triangle has sides measuring 8 inches, 5 inches and 4 inches.
So, 5² + 4² ? 8².
25 + 16 ? 64.
41 ? 64.
So, 41 < 64 therefore it is a² + b² < c² then it is an acute angle triangle.
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What times 21 equals 7? Is that even possible to multiply something by 21 to get 7?
Answers
Answer:
Step-by-step explanation:
why is algebra so hard
Answers
I need up with this assignment PICTURE
Answers
Answer:
These lines are linear lines.
Step-by-step explanation:
Linear lines are straight lines. We can determine if a line is linear in one of a few ways, three being:
By looking at the lines. If they are straight, then they are linear.
By looking at a graph. If there is a constant rate of change within the graph (between the points), then the line is linear. A constant rate of change is when something is changing at a constant, or not-changing number. For example, if the rate of change is 3 (+3 or -3), and never any other number, then the line is linear.
By solving the equation. For a line to be linear, it has to be able to fit in the slope-intercept form (y = mx + b) (without any exponents). If the equation does not work for the line, then the line is likely non-linear. A linear line may also have two expressions that are equal to each other. It's a little hard to see the entire second equation in the picture, but it appears to be 4x - 7. Meanwhile, the first equation is -2x + 5. Clearly, both lines are linear as they both fit in/follow the slope-intercept form. The m's are: -2 and 4, and the b's are 5 and -7.
So y’all rlly not abt to help me :( I’ve been posting the same thing for 2 days know help a dummy out plzzz
Describe and correct the error in finding the product
Answers
Step-by-step explanation:
the 2 and the t were combined when they weren't like terms, combined your like terms first and then answer
Can someone help me solve all of these problems? It’s proportions. (Will give brainliest and a heart)
Answers
b. x=6
c. m=5.1
hope this helped!
7w + 6(3w + 9)
Help ASAP
Answers
Answer: 25w+54
Step-by-step explanation:
Distribute:
=7w+(6)(3w)+(6)(9)
=7w+18w+54
Combine Like Terms:
=7w+18w+54
=(7w+18w)+(54)
=25w+54
Answer:
=25w+54
Answer:
25w + 54
Step-by-step explanation:
7w + 6(3w + 9)
7w + 18w + 54
25w + 54
When is the accounting equation used?
Answers
Answer:
It is used in double-entry accounting.
Estimate a 15% tip on a dinner bill of $62.35 by first rounding the bill amount to the nearest ten dollars.
Answers
What is the product of 4x - 1 and 3x + 5?
Answers
Answer:
the right answer is 7x+4
Write 2 5/7 in radical form
Answers
Answer:
19/7
Step-by-step explanation:
Help with math! 10th grade math :)
Answers
2. Domain goes along the x-axis and the range is up the y-axis.
3.
A yes
B no
C yes
Answer:
2.) The domain goes along the x-axis and then the range is up the y-axis.
3. A.) yes
B.) no
C.) Yes
Find the distance between these two points: A(-3,-5) and B(-2,5)
3
10
5
3.3
Answers
Answer:
The answer is 10Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A(-3,-5) and B(-2,5)
The distance between them is
[tex] |AB| = \sqrt{ ({ - 3 + 2})^{2} + ({ - 5 - 5})^{2} } \\ = \sqrt{ {1}^{2} + ( { - 10})^{2} } \\ = \sqrt{1 + 100} \: \: \: \: \: \: \: \: \: \\ = \sqrt{101} \\ = 10.04987562...[/tex]
We have the final answer as
10.0Hope this helps you
Answer:
i think it is 10 but .-.
Step-by-step explanation:
i graphed it o.o
The sum of three consecutive even integers is 126. Let x represent the first integer, x + 2 represent the second integer, and x + 4 represent the third integer.
Which equation can be used to find the first integer?
3x + 126 = 2x + 6
3x + 6 = 126
2x + 6 = 126
3x = 2x + 6
Answers
Answer:
3x + 6 = 126
Step-by-step explanation:
If you add all of them
x + x+2 + x+4 = 126
simplify the left-side
3x+6=126
subtract 6 from both sides and you get
3x = 120
divide both sides by 3
x=4
A daycare charges $45 a week to tutor a child. If a parent is late to pick up their child, it is an additional $7 per hour. If in one month a parent pays $271, how many hours was this parent late this month?
Answers
Answer:
13 times
Step-by-step explanation:
Show f(x)=x^3+e^x has exactly one real root?
Answers
Solution: First note that the function f (x) = x3 + ex is differentiable on all of R, since it is the sum of two differentiable functions, a polynomial and the exponential function. Hence it is continuous. Grabbingthetwoinputvaluesx=−1andx=0,weseethatf(−1)=(−1)3+e−1 =−1+1e <0, and f (0) = (0)3 + e0 = 1 > 0. Hence by the Intermediate Value Theorem, we know that there must be a number c ∈ [−1, 0], where f (c) = 0. But this is our solution to the original equation. Hence a solution exists.
So call c our solution to the original equation and suppose there exists another one; Call this one d. Then either d > c or d < c. It really won’t matter for our discussion, so assume d > c. Then f(x) is a continuous function on [c,d] and differentiable on (c,d) (it is differentiable everywhere, actually). By Rolle’s Theorem, there then must exist a point r ∈ (c,d), where f′(r) = 0. However, we have
f′(x) = 3x2 + ex > 0
for all x ∈ R. Thus, like our example in class, there cannot be a point r ∈ (c,d), where f′(r) = 0. So our assumption that there is a second solution to the original equation is incorrect. Thus there is only one real solution to x3 + ex = 0.
