Answer:
The domain is all real number:
i.e.
[tex]-\infty \:<x<\infty \:[/tex]
Therefore,
[tex]\mathrm{Domain\:of\:}\:10^x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Step-by-step explanation:
Given the function
y = 10ˣ
Determining the domain of the function y = 10ˣ :
We know that the domain of the function is the set of input or arguments for which the function is real and defined.
In other words,
Domain refers to all the possible sets of input values on the x-axis.From the graph, it is clear that the function has no undefine points nor domain constraints.
Thus, the domain is all real number:
i.e.
[tex]-\infty \:<x<\infty \:[/tex]
Therefore,
[tex]\mathrm{Domain\:of\:}\:10^x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Answer:
The domain is all real numbers
Step-by-step explanation:
I need help fast!! Giving brainiest!! Please explain how you figured it out too!
Answer: HEYYYY
Step-by-step explanation:
Think you are cheating on a quiz, we are here to help people not to help people cheat on quizzes tho
Find the solution of the system of equations. 9x +y = 28 3x + 3y = -12
Answer:
x is equal to four, and y is equal to negative eight.
Step-by-step explanation:
Let's solve it rearranging the first equation to define y:
9x + y = 28
y = 28 - 9x
Now we plug it in to the second equation:
3x + 3y = -12
3x + 3(28 - 9x) = -12
And solve for x:
3x + 84 - 27x = -12
-24x = -96
x = 4
Now we can plug that x value into one of the original equations to find the value of y
9x + y = 28
36 + y = 28
y = 28 - 36
y = -8
Let's test our answer by plugging that y value into the other equation, and seeing if we get the same x value:
3x + 3y = -12
3x + 3(-8) = -12
3x - 24 = -12
x - 8 = -4
x = 4
So we know our answer is correct.
If triangle ABC ~ DEC, find x and the scale factor of ABC to DEC
The value of x from the figure is 4
Similar triangleFrom the figure given we are told that ABC ~ DEC. Hence to get the value of x we will use the relationship shown;
25/3x-2 = 20/2xCross multiply
25(2x) = 20(3x - 2)
50x = 60x - 40
50x - 60x =-40
-10x = -40
x = 4
Hence the value of x from the figure is 4
Learn more on similar triangles here; https://brainly.com/question/2644832
Help!!! What is the difference ? (x - 8)/(3x) - (3x)/(x ^ 2)
Answer:
Given that you're providing only a single term, asking for a difference doesn't make a lot of sense. I assume you're asking to have the expression simplified?
If so, then it can be reduced to (x - 17) / 3x
Step-by-step explanation:
You can simplify by multiplying both terms each by a different ratio that equals one, but also gives the terms common denominator. Multiplying the first one by x²/x² and the second by 3x/3x will do that for you.
After that you can group the terms into one fraction and simplify:
[tex]\frac{x - 8}{3x} - \frac{3x}{x^2} \\\\= \frac{x - 8}{3x}\times\frac{x^2}{x^2} - \frac{3x}{x^2} \times\frac{3x}{3x} \\\\= \frac{x^3 - 8x^2}{3x^3} - \frac{9x^2}{3x^3} \\\\= \frac{x^3 - 8x^2 - 9x^2}{3x^3} \\\\= \frac{x - 8 - 9}{3x}\\\\= \frac{x - 17}{3x}\\[/tex]
Answer:
The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex] is [tex]\mathbf{\frac{x-17}{3x}}[/tex]
Step-by-step explanation:
We need to find the difference: [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]
Simplifying to find the difference:
[tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]
x is common in both 3x and x^2 so, we can cancel it out and we get:
[tex]=\frac{x-8}{3x}-\frac{3x}{x(x)}\\=\frac{x-8}{3x}-\frac{3}{x}[/tex]
Now, taking LCM of 3x and x we get 3x, We will multiply 3x with both terms and then solve we get:
[tex]=\frac{x-8-3(3)}{3x}\\=\frac{x-8-9}{3x}\\=\frac{x-17}{3x}[/tex]
It cannot be further simplified, so we get [tex]\frac{x-17}{3x}[/tex] as answer.
So, The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex] is [tex]\mathbf{\frac{x-17}{3x}}[/tex]
I need help with 13&14 please ASAP!!!!!
Answer:
3/5 for 13
Step-by-step explanation:
add 2 to the numerator and the denominator
In the expression 10 - b²a, the co-efficient of ‘a’ is ?
Answer:
-b²
Step-by-step explanation:
a's coefficient is -b² because that is what a is being multiplied by.
The measure of an interior angle of a regular polygon is 174. Find the number of sides in the polygon.
Answer:
6
Step-by-step explanation:
it as a interior angle of a regular polygon is 23
Libby needs to make 1/2 of her chili recipe for the school's chili contest. If Libby usually needs 1/2 cup of corn for her recipe, how much corn will she need for the chili contest
Answer:
She need [tex]\frac{1}{4}[/tex] cups of corn.
Step-by-step explanation:
Libby needs to make [tex]\frac{1}{2}[/tex] of her chilli recipe for the school's chilli contest. If Libby usually need [tex]\frac{1}{2}[/tex] cup of corn for her recipe.
She make half of her recipe
So, we can set up equation for unknown corn she need for the chilli contest as 'x' cups
[tex]\frac{1}{0.5} =\frac{0.5}{x}[/tex]
Cross multiply
x=0.25
To make it as a fraction, she need [tex]\frac{1}{4}[/tex] cups of corn.
Answer:
yep 1/4
Step-by-step explanation:
Given △ABC with coordinates A(1, 3), B(4, 5), and C(5, 2), what are the coordinates of △AʹBʹCʹ after the glide reflection described by T⟨−1, 1⟩° Ry-axis?
Answer:
A' = ( 0,4 )
B' = ( -3,6 )
C' = ( -4,3 )
Step-by-step explanation:
Transformation involves changing the coordinates of a shape.
The coordinates of △ABC after the glide transformation are [tex]A' = ( 0,4 )[/tex], [tex]B' = ( -3,6 )[/tex] and [tex]C' = ( -4,3 )[/tex]
The coordinates of triangle ABC is given as:
[tex]A = (1,3)[/tex]
[tex]B = (4,5)[/tex]
[tex]C = (5,2)[/tex]
The glide reflection is given as: T⟨−1, 1⟩° Ry-axis
So, we start by translating the shape by (x - 1, y + 1).
The coordinate ABC becomes
[tex]A = (1 - 1, 3 + 1) = (0,4)[/tex]
[tex]B = (4 - 1, 5 + 1) = (3,6)[/tex]
[tex]C = (5 - 1, 2 + 1) = (4,3)[/tex]
Next, we reflect the coordinates across the y-axis.
The rule of this reflection is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]A' = ( 0,4 )[/tex]
[tex]B' = ( -3,6 )[/tex]
[tex]C' = ( -4,3 )[/tex]
Read more about transformation at:
https://brainly.com/question/1616371
is it Min or Max
help me pls
Answer:
Max
Step-by-step explanation:
Since the vertex is on top and the graph is opening down, there is a max value at the top.
There are 25 adults and 43 kids at the park. What is the ratio of kids to adults at the park?
Answer:
43 : 25
Step-by-step explanation:
ratios are quantitative relationship between 2 numbers.
adults = 25
kids = 43
ratio of kids to adults at the park should be shown as
(kids) : (adults)
*these numbers cannot be simplified.
plug the numbers in:
43 : 25
what is 3a + 3/6. if a = 1/4
Answer:
5/4
Step-by-step explanation:
Solve by plugging in the value to "a".
Solve:
3a + 3/6
3(1/4) + 3/6
Multiply the parenthesis.
3/4 + 3/6
Simplify 3/6
3/4 + 1/2
Find the common denominator, which is 4. Make the denominators the same.
3/4 + 2/4
Add the fractions.
5/4
What is the length of an arc that subtends an angle of 60° at the centre of radius ½m?
a) 0.5238 b) 0.53
c) 0.357 d) 0.25
Pls help!!!!!
A man hits a golf ball (0.24 kg) which accelerates at a rate of 20 m/s2. What amount of force acted on the ball?
Answer: 4.8 Newton’s
Step-by-step explanation:
Force = mass x acceleration
Answer:
the 0.2 kg ball was hit with 4 Newtons of force, which caused it to accelerate 20 meters per second, per second.
so 4 newtons
A club deposited $50,000 in a savings account at the beginning of the year. Interest will be paid at a rate of 3% at the end of the year. How much interest will the club receive for a year? Please help!
Which is the best estimate of the mass of a skateboard.
a 3 liters
b 3 kilograms
c 30 grams
d 3 grams
Answer:
3 kilograms
Step-by-step explanation:
one is for liquids and the others are too small i think
It says write in scientific notation but isn’t it already in scientific notation ???
Nikos paid $22,500 for a new car. Over the next 3 years the value of his dropped $3750. How much did the value of the car drop each year on average?
Answer:
about $1250 per year.
If you could help I would really appreciate it, but if not that’s fine. Thank you.
f(x) = 2x^2-10x+13
Find f(-4)
Answer:
85
Step-by-step explanation:
2(-4)^2=32
-10(-4)=40
32+40+13=85
Rico and nita solved the answer the same problem.Rico got 6/8 for an answer, and nita got 3/4.Which answer is corrext. Use the term equivalent fraction in your explanation
Answer:
Both are correct
Step-by-step explanation:
Rico got 6/8
Nita got 3/4
Equivalent fraction
2/2 x Nita point
2/2 x 3/4
6 / 8
So,
Nita point = Rico point
6/8 = 6/8
Answer:
Both are corre
Step-by-step explanation:
can sb help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
127 feet
Step-by-step explanation:
I did this already and I got it correct
Answer:
Its either 90 or 100
Step-by-step explanation:
how do you solve this using the substitution method?
Answer:
x=13, y=36
Step-by-step explanation:
y−2x=10
6x−2y=6 −2x+y=10
6x−2y=6
6x=2y+6
x= 1/6(2y+6)
x=1/3y+1
-2(1/3y+1)+y=10
-2/3y-2+y=10
1/3y=12
y=36
Substitute y to check your answer
x=1/3*36+1
x=12+1
x=13
And to go further if you wish to check your answer you can substitute x
Answer please please
Answer:
t>-2
Step-by-step explanation:
So Act like this is an equation and add -3 to both sides:
t>-2
Thats your answer!
The correct choice should be #1
I really help with this ill mark u brainliest pls
Answer:
[tex] m\angle XYW = (155 - 20x
)\degree [/tex]
Step-by-step explanation:
[tex]m\angle XYZ= m\angle XYW +m\angle WYZ\\\\
150\degree = m\angle XYW +(20x-5)\degree \\\\
150\degree - (20x-5)\degree = m\angle XYW \\\\
(150 - 20x
+5)\degree = m\angle XYW \\\\
(155 - 20x
)\degree = m\angle XYW \\\\
m\angle XYW = (155 - 20x
)\degree \\\\
[/tex]
Tim bought a new phone. He paid $125 on the day of purchase, then $50 per month
until it was paid off. What is the initial value in this situation?
Answer:
its 5
Step-by-step explanation:
1. What is the simple interest on $2500 invested at an interest rate of 6%
for 2 years?
Answer:
[tex]\boxed {\boxed {\sf \$300.00}}[/tex]
Step-by-step explanation:
The formula for simple interest is:
[tex]I=P*R*T[/tex]
where P is the principal amount of money, R is the interest rate as a decimal, T is the time.
We know the principal amount is $2500, the interest rate is 6%, and the time is 2 years.
We must convert the interest rate to a decimal.
Divide by 100 or move the decimal place two spots to the left. 6/100=0.06 or 6.0 --> 0.6 --> 0.06Now we know all the values.
[tex]P= 2500 \\R= 0.06 \\T= 2[/tex]
Substitute the values into the simple interest formula.
[tex]I= (2500)(0.06)(2)[/tex]
Multiply.
[tex]I=(2500)(0.12)\\I=300= \$ 300[/tex]
The simple interest is $300.00
[tex] \sf• \: Principle (p) = \$ \: 5200[/tex]
[tex] \sf• \: Rate \: of \: interest (r) = 6 \: \% = \frac{6}{100} [/tex]
[tex] \sf• \: Time \: (t) = 2 \: years[/tex]
[tex] \\[/tex]
[tex] \bf \underline{To \: Find :-}[/tex][tex] \sf• \: The \: Simple \: Interest \: (I)[/tex]
[tex] \\ [/tex]
[tex] \bf \underline{Solution :-}[/tex][tex] \sf We \: know \: that, [/tex]
[tex] \red {\bigstar\bf { \: I = prt}}[/tex]
[tex]⟹I = 2500 \times \frac{6}{100} \times 2[/tex]
[tex]⟹I = 300[/tex]
[tex] \\ [/tex]
[tex] \bf \blue{Hence, \: the \: \: Simple \: \: Interest \: \: is \: \: \$ \: 300. }[/tex]
Alex runs at an average speed of 10 km per hour for 1 hour 30 minutes. What distance does he run?
Answer:
15 km?
Step-by-step explanation:
10 km per hour for one hour is 10km. plus the half hour, half of the distance 5km is just 15km
the city of west park has population of 11,000 people. it’s population is decreasing at the rate of 4.5% each year. find the population in 25 years
9514 1404 393
Answer:
3479
Step-by-step explanation:
Each year, the population is multiplied by 1 - 4.5% = 0.955. After 25 years, the population will have been multiplied by 0.955^25 ≈ 0.316289. At that time, the population will be approximately ...
11000 · 0.316289 ≈ 3479
Make a graph that matches the rule y=2x – 3.
(Need help ASAP)
Answer:
Answer in image below :)
Step-by-step explanation: