Find the domain and range of the exponential function h(x) = –343x.
Explain your findings.
As x decreases, does h increase or decrease? Explain.
As x increases, does h increase or decrease? Explain.
Answers
The function is supposed to be;
h(x) = -343^(x)
Answer:
The domain will be a set of real numbers while the range will be y ≤ 0 and on the interval (-∞, 1)
As x is increasing, h is decreasing and as x is decreasing, h is increasing
Step-by-step explanation:
We are given the function as;
h(x) = -343^(x)
The formula is;
y = a^(x) since it's symmetrical to the x-axis
However in this case;
y = -a^(x)
Now, the domain is y and the range is a set of values of x.
I've attached a graph of this function drawn on desmos.
From the graph we can see that The domain will be a set of real numbers while the range will be on the interval (-∞, 1)
For a value of x = 0,we have;
h(0) = -343^(0)
h(0) = -343
When we increase the value of x to 3,we have;
h(3) = -343^(3)
h(3) = -40353607
When we decrease the value of x to -3, we have;
h(-3) = -343^(-3)
h(-3) = 0.00000002478
Thus, we can conclude that;
As x is increasing, h is decreasing and as x is decreasing, h is increasing
Related Questions
5. The ratio of green apples to red apples is 3 to 7. Which combination of green apples to red apples could be used?
Answers
hope this helps
Solve d+6/2=5 d= Help me because I need help
Answers
Step-by-step explanation:
d+6/2=5
d = 5 - 6/2
d = 10- 6/2
d = 4/2
d = 2
Answer:
d = 4 or d=2Step-by-step explanation:
Given equation
d+6/2=5It is not clear so will solve two different equations
(d + 6)/2 = 5d + 6 = 2*5d + 6 = 10d = 10 - 6d = 4The other option (I think incorrect)
d + 6/2 = 5d + 3 = 5d = 5 - 3d = 2- The soccer club had a party in a private room at a restaurant. The restaurant charged $25 for
the private room, and $9 per person. The cost ( for p people to attend the party is modeled by
the equation below.
C= $25 + $9p
How much did it cost if 18 people attended the party?
Answers
Answer:
187
Step-by-step explanation:
Because 9 multiplied by 18 equals 162$ and plus 25$ for the private room is 187$
Which statements are true for all rotations about the origin? Select all that apply.
Angles are taken to angles of the same measure.
Angles are taken to angles of the same measure.
Perpendicular lines are taken to perpendicular lines.
Perpendicular lines are taken to perpendicular lines.
Circles are taken to circles of the same center and radius.
Circles are taken to circles of the same center and radius.
Line segments are taken to line segments of the same length.
Line segments are taken to line segments of the same length.
Parallel lines are taken to parallel lines.
Answers
Answer:
Rotation about the origin only changes the coordinates but angle or segment measures remain same, therefore parallel and perpendicular lines stay as is.
Correct options:
Angles are taken to angles of the same measure.Perpendicular lines are taken to perpendicular lines.Line segments are taken to line segments of the same length.Parallel lines are taken to parallel lines.Answer below
And get brainliest
Answers
Answer:
-241726.13443
Step-by-step explanation:
(34.529)(0.67)
=23.13443
241703 + (-241726.13443) is equal to 23.13441
Answer:
Step-by-step explanation:
Does anyone know what’s
3.984
+ 17
———
Bye explaining?
Answers
Answer:
20.984
Step-by-step explanation:
add the whole numbers then the numbers after the decimal
3+17=20
There was no decimal or anything after the 17 so you would just add .984 to ur awnser.
20.984
A cup slides off a 2.5 m high table with a speed of 2.8 m/s to the right. We can ignore air resistance. What was the cup's horizontal displacement during the fall?
Answers
Answer:
Horizontal distance = 1.98 m (Approx)
Step-by-step explanation:
Given:
Height = 2.5 m
Speed v = 2.8 m/s
Find:
Horizontal displacement
Computation:
s = ut + (1/2)gt²
2.5 = (1/2)(9.8)t²
t² = 0.5102
t = 0.7079 s
Horizontal distance = (v)(t)
Horizontal distance = (2.8)(0.7079)
Horizontal distance = 1.98 m (Approx)
Please help it’s due today at 6:10am please help me please please need help please
Answers
Answer:
Step-by-step explanation:
a. 3-4x=-7-4x
3=-7. no solution
b. 15 - 2x = -7x
15 = -5x
x=-3. one solution
c. 7y-21=6y-21
y=0
1. -3x+4=-3x+7
4=7
2. 10+2x = 5x+2
8=3x
x=3/8
3. x+5=x+5
Answer:
Step-by-step explanation:
a) 3 - 4x = -7 - 4x
- 4x in both terms can be cancelled
3 = -7 ⇒ equation with no solution
b) 15 - 2x = -7x
15 = -5x
-3 = x
x = -3
c) 7 (y - 3) = 6y - 21
7y - 21 = 6y - 21
7y - 6y = -21 + 21
y = 0
1) Equation with no solution:
3x + 5 = 12 + 3x
there is no x that conforms that equation because the result is always 5 = 12, which is inconsistent
2) Equation with one solution
2y -5 = 7 ⇒ y = 12/2 ⇒ y = 6
3) Equation with infinite solutions
x - 10 = x - 3 - 7
Any value of x complies with this equation
Solve for X geometry
Answers
Answers
1. x=7
2. x=6
3. x=9
4. x=8
Explanations
1. This is an isosceles triangle because two angles are congruent. This also means the two sides are the same. This means 7 = x.
2. This is an equilateral triangle because all the angles are the same. Therefore, all sides are also the same. So x = 6.
3. This is also an equilateral triangle. We know this because all sides are the same. So from this we know that x-3 = 6. Solve the equation, and you'll find that x = 3.
4. This is also an isosceles triangle, because two of the angles are congruent. This means 2x-9 = 7. Solve this equation; x=8
Answer:
27) x = 7
28) x = 6
29) x = 9
30) x = 7
Step-by-step explanation:
I first added to two angles we already knew. Then, I took that number and subtracted it from the whole number in the algebraic equation. I then divided that number with the value paired with x to get x.
Sorry, it is hard to explain with words. Please give the person above me a reward. They answered before me.
I hope this helps you!
What is the value of (2 to the power of 3) to the power of 2
Answers
Answer:
64
Step-by-step explanation:
Make me brainleist please.
Ethan’s water bottle is 2/1 full. Olivia’s water bottle is 6/2 full. Who has a more full water bottle?
Answers
Answer:
Olivia
Step-by-step explanation
2/1 = 2 water bottle. 6/2 = 3 water bottle.
 I need help the answers that are there are
SSS
SAS
ASA
AAS
HL and
Not enough information
Answers
Answer:
5 is congruent by HL this is because both have a right angle and a congruent side
6 you do not have enough information.
8g - 7 = 5g + 6. What is g?
Answers
Rory bought 4 cartons of milk, each having 2 gallons. He paid a total of $28.80 to buy the milk. How much did a gallon of milk cost to Rory?
Answers
Answer:
$3.60
Step-by-step explanation:
First divide the total cost by how many cartons of milk there are multiplied by how many gallons there are in a carton. So it would look like 28.80/4*2 which is 3.6
The cost of the milk per gallon will be $3.6 per gallon of milk.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Rory purchased four cartons of milk, each containing two gallons. He spent a total of $28.80 on milk.
The number of gallons of milk is given as,
⇒ 4 x 2
⇒ 8 gallons of milk
Then the cost of the milk per gallon will be
⇒ $28.80 / 8
⇒ $3.6 per gallon of milk
The cost of the milk per gallon will be $3.6 per gallon of milk.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
Suppose that the batting averages or AVG (hits per at-bat) of all players in the AAA baseball league are normally distributed with a mean of 0.2 and a standard deviation of 0.05. The middle 95% of the player will have a lower bound of:____.a. 0.19.b. 0.03.c. 0.30.d. 0.07.
Answers
Answer:
0.1
Step-by-step explanation:
Solving using empirical rule formula
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
Hence, the lower bound 95% =
μ - 2σ
Mean = 0.2
Standard deviation of 0.05
= μ - 2σ
= 0.2 - 2(0.05)
= 0.2 - 0.1
= 0.1
The lower bound is 0.1
Brainliest if you provide a valid explanation and answer!
Please don't steal my points, you guys. I really need help!
Q: The circle below has a circumference of 34.56 cm. Find the diameter.
Answers
Answer:
11cm = diameter.
c=circumference
d=diameter
π=3.14
r=half of diameter
34.56
C=2πr
d=2r
Solving for d (diameter)
d=C
π=34.56
π≈11.00079cm
rounded = 11cm!
You promised brainlest! Please!!
Step-by-step explanation:
Answer:
11.0008
Step-by-step explanation:
“Since we know circumference and diameter are related by π, we can use π to find diameter if we know circumference”
Equations:
C = πd
C/π = d
Therefore:
34.56 = pi(d)
34.56/3.14159265359 = 11.000789..........
Which expression uses the associative property to make it easier to evaluate
146. §)?
O A. (14.5)
B. 14(35)
O C. (14.)
O D. 7(13)
Answers
Answer:
d 7(13)
Step-by-step explanation:
Solve the system by substitution.
y = -7x. y = -5x + 10
Answers
Answer: (-5,35)
Step-by-step explanation:
-7x=-5x+10
Get x on one side by adding 5x
-2x=10
Simplify by dividing by -2
X=-5
Substitute into y=-7x
Y=-7(-5)
Simplify
Y=35
-78 is the absolute value of 78?
Answers
(3x + 3) degrees
Hiw many degrees is it?
Answers
Answer:
Step-by-step explanation:
If the value of x is what you need then you can work that out by doing the following:
3x + 3
Isolate 3x by taking 3 off both sides:
3x = -3
Divide both sides by 3 to get the value of x:
x = -1
Second part to the worksheet
Answers
Answer:
6.A
7.A
8.B (although the answer is incomplete)
9.B
10.B
Which two numbers have decimal forms that are non teminating and non repeating? a) 1/7 b )square 2 c) square 9/144 D) π E) 12/57
Answers
Answer:
b and d
Step-by-step explanation:
85% as a fraction or mixed number
Answers
Answer:
85/100, 17/20 (simplifed)
Step-by-step explanation:
that is 85% as a fraction
xoxo,
your highness...
Solve a/ -6 + 8 = 12. a=?
Answers
Answer: the answer is -24
Step-by-step explanation:
a in (-oo:+oo)
a/(-6)+8 = 12 // - 12
a/(-6)-12+8 = 0
-1/6*a-4 = 0 // + 4
-1/6*a = 4 // : -1/6
a = 4/(-1/6)
a = -24
Write the fraction
4
as an
9
equivalent fraction with the given denominator 45.
Answers
Answer:
1/5 = 2/10 = 3/15 = 4/20
= 5/25 = 6/30 = 7/35 = 8/40
= 9/45 = 10/50 = 11/55 = 12/60
= 13/65 = 14/70 = 15/75 = 16/80
= 17/85 = 18/90 = 19/95 = 20/100
= 21/105 = 22/110 = 23/115 = 24/120
= 25/125 = 26/130 = 27/135 = 28/140
= 29/145 = 30/150 = 31/155 = 32/160
= 33/165 = 34/170 = 35/175 = 36/180
= 37/185 = 38/190 = 39/195 = 40/200
= 41/205 = 42/210 = 43/215 = 44/220
= 45/225 = 46/230 = 47/235 = 48/240
= 49/245 = 50/250 = 51/255 = 52/260
= 53/265 = 54/270 = 55/275 = 56/280
= 57/285 = 58/290 = 59/295 = 60/300
= 61/305 = 62/310 = 63/315 = 64/320
= 65/325 = 66/330 = 67/335 = 68/340
= 69/345 = 70/350 = 71/355 = 72/360
= 73/365 = 74/370 = 75/375 = 76/380
= 77/385 = 78/390 = 79/395 = 80/400
= 81/405 = 82/410 = 83/415 = 84/420
= 85/425 = 86/430 = 87/435 = 88/440
= 89/445 = 90/450 = 91/455 = 92/460
= 93/465 = 94/470 = 95/475 = 96/480
= 97/485 = 98/490 = 99/495 = 100/500
You saved $300 to spend over the summer. You decide to budget $50 to spend each week. You have already written an equation and graphed on your paper. What is the slope of your graph?
Answers
The slope is -50
Which valve is closest to 85% of 25
Answers
Answer:
21Step-by-step explanation:
The value that is closest
to 85% of 25 is 21 because
85% of is 21.25 and rounding
21.25 to the whole number is 21.
Hope this helps! <3
The value of this expression is 30.
7 X 4-2+8=2
If parentheses are put around 2 + 8, what is the value of the expression?
Answers
Answer:
x= - 1/7
Step-by-step explanation:
Lucy makes 8 dollars for each hour of work.write an equation to represent her total pay p after working h hours
Answers
Answer:
Answer: H x 8 = P
Explanation: Every hour Lucy gets paid $8 so if she works for 1 hour she gets $8 and for 2 hours of work she gets paid $16. It's just multiplying by 8.
what is the y intercept of f(x)=(1/2)x?
Answers
Answer: C (0,1)
Step-by-step explanation:
The y intercept of a function is when it's x coordinate is zero, so input 0 into the function and solve for f(x)
f(0) = (1/2)^x
f(0) = (1/2)^0
f(0) = 1 Any number raised to zero is 1 so the y intercept has to be 1.