What statement correctly describes the key features of the graph of f(x) = 4(one half)x + 1 − 3?
A. Y-intercept of (0, −1), starts up on the left, gets closer to y = −3 on the right
B. Y-intercept of (0, −1), starts down on the left, gets closer to y = −3 on the right
C. Y-intercept of (0, 1), starts up on the left, gets closer to y = −3 on the right
D. Y-intercept of (0, 1), starts down on the left, gets closer to y = −3 on the right
Answers
Answer: The correct option is B.
Explanation:
The given function is,
[tex]f(x)=4(\frac{1}{2})^{(x+1)} -3[/tex]
Put x=0 to find the y-intercept.
[tex]f(x)=4(\frac{1}{2})^{(0+1)} -3[/tex]
[tex]f(x)=4(\frac{1}{2}) -3[/tex]
[tex]f(x)=2-3[/tex]
[tex]f(x)=-1[/tex]
At x=0 the value of f(x) is -1, therefore the y- intercept is (0,-1).
Since it is an exponential function in the form of,
[tex]g(x)=ma^x+n[/tex]
Where, 0<a<1, so,
[tex]f(x)\rightarrow \infty\text{ as }x\rightarrow -\infty[/tex]
[tex]f(x)\rightarrow -3\text{ as }x\rightarrow \infty[/tex]
Therefore the starts up on the left, gets closer to y = −3 on the right. So the option B is correct.
Answer: the correct answer is B
Step-by-step explanation:
Related Questions
Which angle is the included angle for MP¯¯¯¯¯¯ and MN¯¯¯¯¯¯¯ ?
∠M
∠N
∠P
Answers
Answer:
First one.
Step-by-step explanation:
M is in both angles.
we know that
An included angle is the angle between two sides of a triangle
so
in the triangle MNP
1) the included angle for MP and MN is the angle M
2) the included angle for PM and PN is the angle P
3) the included angle for NM and NP is the angle N
therefore
the answer is
the included angle for MP and MN is the angle M
Nick can throw a baseball three more than 4 times the number of feet, f, that Jeff can throw the baseball. Which numbered expression can be used to find the number of feet that Nick can throw the ball?
Answers
N=J*4+3
more than is +
4 times is multiplying by 4 (*4)
to my understanding this is the numerical equation
So let's write this out
Nick can throw a baseball 3>4 times than F. So to write an equation to find how many feet Nick can throw the ball we do 4F+3. Now this makes sense because he throws it +3 (three more) than 4F.
Hope this helps!
Two angles are supplementary. one angle is 4 degrees° less than three times the other. find the measures of the angles.
Answers
and we have the sum a+b=180.
in addition 3b-4=a
So we have 3b-4+b=180
or 4b=184 and at the end we have b=46, a= 134
Please help thank you very much.
Answers
For the first picture, the correct answer is option B
They say that AB = BC = CD and they want us to find JM.
Well, since the right side are equal, the left side must equal to.
So, all we have to do is add them.
JK = KL = LM
7 + 7 + 7 = 21
------------------------------
The answer is 720
Sum = (6-2) * 180
Sum= 4 * 180
Sum = 720
For the last one, the correct answer is 99
This is too complicated to explain :)
I hope this helps!
Linear Programming HELP!! must answer both questions for brainliest and explain your answer.
Answers
what is the curconfrrince
Answers
Plz mark me brainliest!
Hope this helps!
The distance around a circle is called the circumference,while, the distance through the circle through the center is called the diameter. π is the ratio of the circumference to the diameter. Meaning, for any circle, if you divide the circumference by the diameter, you will always get π. This is expressed in the formula: C/d=π
Which shows the image of ΔRST after the rotation (x, y) → (y, –x)?
Answers
examples?
Step-by-step explanation:
A salesperson receives a 3% commission on sales. The salesperson receives $180 in commission. What is the amount of sales?
Answers
i am not sure what to substitite for a or w
Sorry but hopes this gives a hint
If i flip a coin 4 times what is the probability of one tail
Answers
Probability means occurrence of chance.
You have two sides in a coin: heads and tails.
so when you flip the coin 4 times the probability on getting one tail is one. If you had to find the probability of 2 tails then the answer would be [tex]2/4[/tex].
P = (of one tail) = [tex]1/4[/tex]
It cannot be simplified further, as it is in its simplest form already.
Hope I helped (:
Have a great day!
For the standard normal probability distribution, the area to the right of the mean is:
Answers
what is 10 1/2 divided by 2 1/4
Answers
The solution of the expression '' [tex]10\frac{1}{2}[/tex] divided by [tex]2\frac{1}{4}[/tex] '' will be [tex]4 \frac{2}{3}[/tex].
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The mathematical expression is;
'' [tex]10\frac{1}{2}[/tex] divided by [tex]2\frac{1}{4}[/tex] ''
Now, Solve the mathematical expression by using division method as;
The mathematical expression is,
[tex]10\frac{1}{2}[/tex] divided by [tex]2\frac{1}{4}[/tex] = [tex]10\frac{1}{2}[/tex] ÷ [tex]2\frac{1}{4}[/tex]
Change the mixed fraction into improper fraction as;
⇒ [tex]10\frac{1}{2}[/tex] ÷ [tex]2\frac{1}{4}[/tex]
⇒ [tex]\frac{21}{2}[/tex] ÷ [tex]\frac{9}{4}[/tex]
It can be solve as;
⇒ 21/2 ÷ 9/4
⇒ 21/2 × 4/9
⇒ 14/3
Change into mixed fraction as;
⇒ [tex]\frac{14}{3} = 4 \frac{2}{3}[/tex]
So, [tex]10\frac{1}{2}[/tex] ÷ [tex]2\frac{1}{4}[/tex] = [tex]4 \frac{2}{3}[/tex].
Therefore,
The solution of the expression '' [tex]10\frac{1}{2}[/tex] divided by [tex]2\frac{1}{4}[/tex] '' will be [tex]4 \frac{2}{3}[/tex].
Learn more about the divide method visit:
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How do you think business owners determine how much of each of their products to make?
Answers
Answer: First - Add your costs to your mark-up. (Costs + Mark-up Amount = Baseline Price), Next - If you want to find the price percentage, (Costs x Mark-up Percentage = Mark-up Amount) (Mark-up Amount + Costs = Baseline Price) Next - Multiply your baseline price by your overhead percentage and figure out what is the amount that you must add to the baseline prices so that the overhead expenses can be covered. (Price x Overhead Percentage = Overhead Contribution)Now you must finally add your overhead contribution to your baseline price: (Overhead Contribution + Baseline Price = Final Price)
Bryson hopes to win a three-day vacation in a drawing that is being held at his office. He purchased 40 raffle tickets. There were 500 raffle tickets sold. What is the theoretical probability of Bryson winning the trip? ANSWER ASAP
Answers
If Bryson purchased 40 raffle tickets. There were 500 raffle tickets sold. Then 2/25 is the theoretical probability of Bryson winning the trip
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given,
Bryson hopes to win a three-day vacation in a drawing that is being held at his office.
Bryson purchased 40 raffle tickets
The number of raffle tickets sold were 500
We need to find the theoretical probability of Bryson winning the trip
P(win)=40/500
=4/50
=2/25
2/25 because he bought 40 out of the 500 tickets
Hence 2/25 is the theoretical probability of Bryson winning the trip
To learn more on probability click:
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1/2 of 6 is what percentage of 1/4 of 60 options: A 16 2/3 B 8 1/3 C 37 1/2 D 8 E 12 1/2 Show work
Answers
Select a counter-example that makes the conclusion false.
7 - 3 = 4, 8 - 5 = 3, 9 - 8 = 1
Conclusion: the difference of two positive numbers is always positive.
Counterexample:
Answers
HOPE I HELP!!!!!!!!!!!!
Answer:
2 - 7 = -5Step-by-step explanation:
This means that two positive numbers have given a difference of -5, so the conclusion above can not be true. In fact, subtracting a larger number from a smaller number will always give a negative result, so this conclusion isn't even true in most cases.
I'm always happy to help :)Solve the system of equations by graphing [tex] \left \{ {{y=- \frac{3}{2}x+2 } \atop {y=3x-7}} \right.[/tex] *Show all work
Answers
That is a straightline with slope -3/2 and y-intercept 2
If you do not know how to graph it, you can make a table like this:
x y = (-3/2)x + 2
-1 3/2 + 2 = 7/2
0 0 + 2 = 2
2 - 3 + 2 = -1
4 - 6 + 2 = - 4
2) Graph of y = 3x - 7
That is a straight line with slope 3 and y intercept -7
If you do not know how to graph it you can make a table like this:
x y = 3x - 7
-1 - 3 - 7 = - 10
0 0 - 7 = - 7
1 3 - 7 = - 4
2 6 - 7 = - 1
3 9 - 7 = 2
3) When you draw the two lines you will see that the intersect at x = 2, with the correspondant y = - 1.
That point of intercection is the solutions of the system (2, -1)
Given a right cone with base area b and height h, what is the formula for the volume?
Answers
Hope this helps
V = πr^2(h/3)
V: Volume
r: radius
h: height
πr^2 = base area of a cone
Answer
The formula for the volume in terms of base area b and height h is: V = b(h/3)
Find the percent change from 60 to 63. Tell whether it is a percent increase or decrease. If necessary, round your answer to the nearest percent.
Answers
[tex] \frac{3}{60}[/tex] = 0.05 ≈ 5%
5% increase
The area of a rectangle is 45 square inches. The rectangle is 9 inches long. How wide is the rectangle?
A. 5 inches
B. 36 inches
C. 27 inches
D. 3 inches
Answers
area equals length times width
what is the area of rhombus ABCD? do not round any steps
Answers
The length of AC = 4 (the base of ΔABC.
The height of ΔABC = 7 - 1 = 6
The area of ΔABC is
(1/2)*4*6 = 12
Therefore the area of ABCD = 2*12 = 24
Answer: 24
What is x and y. This is a geometry question
Answers
Solve 5x - 20 = 3x for x as step 1.
Take it from here.
You are taking part in a charity walk, and you have walked 12.5 miles so far. Your girl is to walk 20 miles. How many more miles do you need to walk to meet your goal?
Answers
After walking 12.5 miles with a goal of 20 miles, you need to walk 7.5 more miles to meet your goal.
To meet your goal in the charity walk, you need to calculate how many more miles are left to walk after having walked 12.5 miles with a goal of 20 miles. The calculation is simple subtraction: 20 miles (goal) - 12.5 miles (distance already walked) = 7.5 miles remaining to be walked. So, you need to walk 7.5 more miles to meet your goal.
It is known that the depth of a lake at a point with coordinates (x, y) is z = 200 + 0.02x2 − 0.001y3, where x, y, and z are measured in meters. a woman in a kayak starts at the point (80, 60) and moves toward another point located at (0, 0). (a) find du f(80, 60). (give your answer correct to at least two decimal places.)
Answers
[tex]z = 200 + 0.02x^2-0.001y^3[/tex]
[tex]0.04x-0.003y^2 \frac{dy}{dx} =0 \\ \\ \frac{dy}{dx} = \frac{0.04x}{0.003y^2} \\ \\ \left.\frac{dy}{dx} \right |_{(80, 60)}= \frac{0.04(80)}{0.003(60)^2} = \frac{3.2}{10.8} =0.2963[/tex]
A business owes $8000 on a loan. Every month, the business pays 12 of the amount remaining on the loan.
How much will the business pay in the sixth month?
Answers
Answer:
$125 on the 6th month
The volume of a cube with sides of length s is given by v = s3. find the rate of change of the volume with respect to s when s = 3 centimeters.
Answers
Final answer:
The rate of change of the volume of a cube with respect to its side length s, when s = 3 cm, is 27 cubic centimeters per centimeter.
Explanation:
The volume V of a cube with sides of length s is given by V = s³. To find the rate of change of the volume with respect to s when s = 3 cm, we need to differentiate the volume function V(s) with respect to s. The derivative of V with respect to s is [tex]\frac{dV}{ds}[/tex] = 3s². When s = 3 cm, [tex]\frac{dV}{ds}[/tex] = 3(3)² = 3(9) = 27. The rate of change of the volume when s = 3 cm is 27 cubic centimeters per centimeter.
If Log 4 (x) = 12, then log 2 (x / 4) is equal to
A. 11
B. 48
C. -12
D. 22
Answers
The answer to your problem is D. 22. Hope this helps and have a wonderful day!
The easiest way:
a) log₄ (x) = 12, re write it in exponential way : x = 4¹² = 16,777,216
b) Plug the value of x in log₂ (x / 4)
log₂ (16,777,216 / 4) → log₂(4,194,304)
and log₂(4,194,304) = 22
Mr.Williams' physical education class lasts 7/8 hour.How many minutes are not spent on instructions . playing game:1/2 , instructions: 1/5 ,warm up and cool down:3/10
Answers
1/5 spent on instruction - 20%
Just find 80 percent of 52.5 and you will get 42 minutes not spent on instruction
What property justifies this statement? If segment A B is congruent to segment D E and segment D E is congruent to segment F G, then segment A B is congruent to segment F G.
Answers
how many solutions does
25-x=15-(3x+10)
Answers
25-x=15-3x-10
25-x=15-10-3x
25-x=5-3x
25-5-x=5-5-3x
20-x=-3x
20-x+x=-3x+x
20=-2x
20/-2=-2/-2x
-10=x
Only one solution for this equation.
Write 1.42 as a fraction or mixed number in simplest form.