What is the domain of the exponential function f(x) = 3 ^ x - 5

Answers

Answer 1

Answer:

(-infinity, infinity)

Step-by-step explanation:

Answer 2
Answer:

The domain of the exponential function f(x) = 3 ^ x - 5 is (-infinity, infinity)

What is the exponential function?

An exponential function is a mathematical function of the following form: f ( x ) = an x. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e, which is equal to approximately 2.71828.

What is the exponential function formula?

Exponential Function Formula

An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

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Related Questions

chameli has rupees 600 left after spending 75% of her money. how much did she have in the beginning ​

Answers

Answer:

Rs. 1050

Step-by-step explanation:

75/100×600= 7.5×60= 450+600= 1050

Hope this helps

How many flowers, spaced every 4 in., are needed to surround a circular garden with a 100-ft radius? use 3.14

Answers

Answer:

157

Step-by-step explanation:

Let us first calculate the circumference of the circular of the circular garden

[tex]C= 2\pi r[/tex]

Given

r= 100

[tex]C= 2*3.142*100\\C= 628.4 ft[/tex]

Since the desired space between flowers is 4ft

Then the flowers needed for the garden is  [tex]\frac{628.4}{4} = 157.1[/tex]

Approximately the number of flowers is 157

Answer:157

Step-by-step explanation:

Harun and Anis have m boys and n girls. How many children do they have?​

Answers

They have two children
Answer: Harun and Anis amount of children = m + n.

Explanation: They have an unknown amount of children.

Uh, one second I got to put the picture ;-;

Answers

Answer:

92°

Step-by-step explanation:

Lexie has dimes and ten dollar bills in her pocket. The number of dimes is six more than two times the number of ten dollar bills. Let t represent the number of ten dollar bills. Write an expression for the number of dimes

Answers

Answer:

d=6+2t

Step-by-step explanation:

Let

t=number of ten dollar bills

d=number of dimes

Number of dimes is six more than two times the number of ten dollar bills

d=6+2*t

d=6+2t

10
9
8
7
6
5
B
C
4
3
B
с
D.
D'
3
4
5
6.
7
8
9 10
A
D
-2 1-1
X
1-2
What is the length of BB'?
EP
70112 3141516171819

Answers

Answer:

22 length is the answer

Mary has walked 8 km, which is 55% of the total distance she will walk. How much farther does Mary need to walk? ​

Answers

Answer:

6 6/11 km

Step-by-step explanation:

8 = 0.55x

160/11=x

160/11-8=6 6/11 km

Arya spins both spinners. What is the probability that Arya gets blue on both spinners? Give your answer as a fraction.

Answers

Answer:

2/16

Step-by-step explanation:

Since the total number on a spinner is 8 and there are 2 of them we get 8 + 8=16 and the blue one has 1 and they are 2 we get 1+1=2.

probability=desired chances/total chances

=2/16

The probability that Arya gets blue on both spinners is 2/16.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Since the total number on a spinner is 8 and there are 2 of them we get 8 + 8 = 16 and the blue one has 1 .

we get 1 + 1 = 2.

The probability that Arya gets blue on both spinners

= desired chances/total chances

=2/16

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Frannie bought a pair of sandals. What is a reasonable measurement for the width of a pair of sandals? A 5 cm B 5 mm C 5 in. D 5 yd

Answers

Answer:

A 5cm

Step-by-step explanation:

The others answers would be either too big or too small to fit

This is my last one please help you need to explain it just tell me the right answer thank you

Answers

Answer:

i might be 25

Step-by-step explanation:

What is 2x-4. I really don’t understand

Answers

Answer:

2 * -4 = -8

Step-by-step explanation:

2 * -4 = -8

It is just like multiplying two numbers like... 2 * 4 = 8

You must need to know that:

+a * -b = -c

-a * -b = +c

+a * +b = +c

In your question;

+a * -b = -c

a = 2

b = -4

c = -8

therefore:

2 * -4 = -8

oblems
Congruency Pront
Name: Jarol
Comments
Statements
AC bisects BCD
Reasons
Given
Given
DCIAD
Given
BC AB
Given:
AC bisects BCD
DC I AD
BC AB
Right angles are =
Prove:
AC AC
BC DC
Bc z oo

Answers

Answer:

[tex]\overline{BC} \cong \overline{DC}[/tex] because corresponding parts of congruent triangles ΔACD and ΔACB are Congruent

Step-by-step explanation:

Statements,                                                Reason

[tex]\overline{AC}[/tex] bisects ∠BCD,                                      Given        

[tex]\overline{DC} \perp \overline{AD}[/tex]                                                    Given

∠CDA ≅ ∠CBA                                           Right angles are ≅

[tex]\overline{AC} \cong \overline{AC}[/tex]                                                     Reflexive property

ΔACD ≅ ΔACB                                           Hypotenuse Leg (HL) congrurency

[tex]\overline{BC} \cong \overline{DC}[/tex]                                                    CPCTC

Where:

CPCTC = Corresponding parts of Congruent Triangles are Congruent

⊥ = Perpendicular to

≅ = Congruent

∠ = Angle

Δ = Triangle.

Answer to this question ?

Answers

Answer:

(x - 10)(x - 3)

Step-by-step explanation:

You have to think of numbers that multiply up to 30 and add up to 13. So you eliminate the numbers down to 10 and 3, because you can add up to 13 and multiply to 30. Now you have to find how it adds up to negative 13 and multiply it to postive 30. 2 negatives make a positive when multiplying, and 2 negatives added together make another negative, so your roots are 10 and 3. Put that into factored form and you have (x - 10)(x - 3).

Alternatively you can either graph to find its zeros or guess-and-check.

HELP ASAP PLEASE!!! Solve: 3x – 2y when x = 2 and y = 10. A. 5 B. -14 C. -12 D. NONE OF THESE E. 16

Answers

Answer:

3x - 2y

= 3(2) - 2(10)

= 6 - 20

= -14

the answer is C

Answer:

[tex]x=2[/tex]

[tex]y=10[/tex]

So the multiply 3 × 2

[tex]3 * 2=6[/tex]

Then multiply 2 × 10

[tex]2 * 10=20[/tex]

Then subtract 6 - 20.

This shows that the answer will be negative.

[tex]6-20= -14[/tex]

So the answer is [tex]-14[/tex]

Hope this helps

(^▽^)

What value represents the horizontal translation from the graph of the parent function f(x)2 to the graph of the function g(x)=
(x-4)²+2?
-4
-2.
2
04

Answers

Answer:

4

Step-by-step explanation:

I graphed the functions on the graph below so you can see that the horizontal translation is represented by 4.

what is the quotient -3/8 and -1/3

Answers

Answer:

[tex]\frac{9}{8}[/tex]

Step-by-step explanation:

In order to find the answer to this question you will have to use KCF (Keep, Change, Flip) on the equation and then multiply.

[tex]-\frac{3}{8} \div-\frac{1}{3}[/tex]

Use KCF:

[tex]-\frac{3}{8} \times-\frac{3}{1}[/tex]

Now multiply:

Negative times a negative equals a positive.

[tex]3\times3=9[/tex]

[tex]8\times1=8[/tex]

[tex]=\frac{9}{8}[/tex]

Hope this helps.

Answer: 9/8

Explanation: It's important to understand that dividing by a fraction is the same thing as multiplying by the reciprocal of the fraction.

So our problem can be rewritten as (-3/8) · (-3/1).

Remember that a negatives times a negative is a positive.

So (-3/8) · (-3/1) is 9/8.

Remember, multiply across the top and bottom.

Rectangle ABCD has vertices A(–6, –2), B(–3, –2), C(–3. –6), and D(–6, –6). The rectangle is translated so that the coordinates of the image are A’(–10, 1), B’(–7,1), C’(–7, –3), and D’(–10, –3). Which rule was used to translate the image? T–4, 3(x, y) T–4, 1(x, y) T4, –1(x, y) T4, –3(x, y)'

Answers

Answer:

T₋₄, ₃ (x, y)

Step-by-step explanation:

The coordinates of rectangle ABCD are;

A = (-6, -2)

B = (-3, -2)

C = (-3, -6)

D = (-6, -6)

The coordinates of the image are;

A' = (-10, 1)

B' = (-7, 1)

C' = (-7, -3)

D' = (-10, -3)

We note that for A and A', x - x' = -6 + 10 = 4 and y - y' = -2 - 1 = -3

For B and B', x - x' = -3 + 7 = 4 and y - y' = -2 - 1 = -3

For C and C', x - x' = -3 + 7 = 4 and y - y' = -6 + 3 = -3

For D and D', x - x' = -6 + 10 = 4 and y - y' = -6 + 3 = -3

Therefore, the transformation rule used to translate the image of rectangle ABCD is T₋₄, ₃ (x, y)

Answer:

T₋₄, ₃ (x, y)

Step-by-step explanation:

A firework rocket consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal. The diameter of the cylindrical base of the rocket is 8 in and the height of the cylinder is 5 in, while the height of the cone is 3 in. Calculate the surface area of the rocket. Leave your answer in terms of π. 184π sq. in. 76π sq. in. 168π sq. in. 88π sq. in.

Answers

Answer:

(B) [tex]76\pi$ sq. in.[/tex]

Step-by-step explanation:

Since the base of the cone and one circular face of the cylinder is not visible,

The surface area of the rocket=Base Area of the Cylinder+Lateral area of the Cylinder+Lateral Area of the Cone+

[tex]R$adius =4 Inches\\Height of the cylinder =5 Inches\\Therefore:\text{Lateral area of a Cylinder+Base Area of the Cylinder}=2\pi rh+\pi r^2\\=(2\times \pi \times 4 \times 5)+(\pi \times 4^2)\\=40\pi+16\pi \\=56\pi$ sq. in.[/tex]

Lateral Area of a Cone [tex]=\pi rl[/tex]

Base radius, r= 8/2 =4 InchesPerpendicular Height of the Cone = 3 Inches

Using Pythagoras theorem:

[tex]Hypotenuse =\sqrt{opposite^2+adjacent^2} \\=\sqrt{3^2+4^2} \\=\sqrt{25}\\ =5 in.[/tex]

Slant Height of the Cone, l (Hypotenuse) = 5 Inches

Therefore: Lateral Area of a Cone [tex]=\pi \times 4\times 5 =20\pi$ sq. in.[/tex]

Therefore, Surface area of the rocket

[tex]=56\pi+20\pi\\=76\pi$ sq. in.[/tex]

Answer:

The answer is 76π sq. in.

Step-by-step explanation:

Took the quiz and that was correct.

Select the correct answer. Which number is located to the right of on the horizontal number line? A. -1 1/3 B. -2 1/3 C. -2 2/3 D. -3 1/3

Answers

Answer:

A. -1 1/3

Step-by-step explanation:

I am assuming you want to find the number that is farthest to the right of all 4 possible choices. In that case, the bigger the negative number, the farther left it is on the number line. The smaller the negative number, the farther right it is on the number line.

Jane sold a radio costing sh.3800 at a profit of 20%.She earned a commission of 22 1/2% on the profit.Find the amount he earned

Answers

Answer:

20%=3800 => all of it is 19000

i didn't undrestand what do you want

sorry:)

What is the interquartile range (IQR) of the data set? 3,4,8,11,14,15,16

Answers

Answer:

11

Step-by-step explanation:

all you gotta do is subtract q3 from q1, in this case it's 15-4=11

In ΔKLM, the measure of ∠M=90°, KL = 7 feet, and LM = 4 feet. Find the measure of ∠K to the nearest tenth of a degree.

Answers

Answer:

<K = 34.8°

Step-by-step explanation:

sin K = 4/7

K = [tex]sin^{-1}[/tex] (4/7)

<K = 34.8°

can i have some help please?

Answers

Answer:

42°

Step-by-step explanation:

given OA and OC are perpendicular, the angle between the lines are 90°

this means that ∠AOB and ∠BOC add up to 90°, i.e.

(6x-6) + (5x+8) = 90

6x-6 + 5x+8 = 90

11x - 6 +8 = 90

11x + 2 = 90 (subtract 2 from both sides)

11x = 90- 2

11x = 88 (divide both sides by 11)

x = 8  

Hence, m∠BOC

= 6x - 6

= 6(8) - 6

= 48 - 6

= 42°

A tram moved upward 18 meters in 6 seconds at a constant rate. what was the change in the trams elevation each second?

Answers

Answer:

3 meters per second.

Step-by-step explanation:

Change in elevation = distance / time

= 18/6

= 3 meters / second.

.

I don’t know the answer to pick can you help choose what the correct statement about the graph is thanks.

Answers

The answers C because the line hits the point (1,14) meaning he gets $14 an hour

The figure consists of a quarter circle and a parallelogram. What is the area of the composite figure? Us
to the nearest whole number.
14 in.
14 in.
1 5 in.
17

Answers

Answer:

Can you show a picture?

Step-by-step explanation:

Thanks.

The height of the building in the drawing is 12 inches. If each inch represents 3 feet, how tall is the building?

Answers

Answer:36 ft

Step-by-step explanation:

1 inch = 3ft

and there’s 12 inches on the scale

so 12(3)=36

Answer:

36 feet

Step-by-step explanation:

Since each inch represents 3 feet, 3 times 12 will equal 36.

What do a kite and a rhombus have in common?

Answers

Answer:

Their diagonals intersect at right angles

They are quadrilaterals

Opposite angles are equal

Step-by-step explanation:

Answer:

their shapes

Step-by-step explanation:

they have same corners

2 cups and 3 plates costs £18. 5 cups and 1 plate costs £19. Find the cost of a cup. Find the cost of a plate

Answers

Answer:

A plate costs £4

Step-by-step explanation:

Let us represent the cups by c and the plates by variable p

Thus mathematically from the statements;

2c + 3p = 18. ••••••• (i)

secondly

5c + p = 19 •••••••••(ii)

so we want to find the value of p

Let’s multiply equation i by 5 and ii by 2

we have;

10c + 15p = 90

10c + 2p = 38

Now subtract equation ii from i

13p = 52

p = 52/13

p = 4

The Math Club is ordering food to be delivered to their meeting. They have a coupon for $10 off their order, and each member contributes an additional $5 for the food. The expression 5n + 10 represents the total amount they can spend on their order. Why would it not make sense to substitute 12.125 for n in this expression? A n represents the number of members, so it must be a whole number. B 5n represents the number of members, so n must be a whole number. C n represents an amount of money, so it cannot have more than two decimal places. D 5n represents an amount of money, so n cannot have more than two decimal places.

Answers

Answer:

A. n represents the number of members, so it must be a whole number.

Step-by-step explanation:

Since 12.125 is a decimal, it would not make sense to substitute 12.125 for n in the expression. You cannot have 1/8 of a person. Since each member is contributing an additional $5, the expression will show n as the variable representing the number of members in the Math Club. Each member is giving 5, so 5n + 10, the 10 being the coupon they have for $10 off. This expression shows how much money the entire group has.

Answer:

A

Step-by-step explanation:

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