Step-by-step explanation:
How to check a solution: Just as you can check the solution to an equation, you can check a solution to an inequality. First, you check the end point by substituting it in the related equation. Then you check to see if the inequality is correct by substituting any other solution to see if it is one of the solutions.
How to tell if its true or false: An inequality is a statement that shows the relationship between two (or more) expressions with one of the following five signs: <, ≤, >, ≥, ≠. Like an equation, an inequality can be true or false. 34 - 12 > 5 + 2 is a true statement. 1 + 3 < 6 - 2 is a false statement.
Solve: 9^(2x + 1) = 9^(3x – 2)
Answer:
x = 3Step-by-step explanation:
The same bases (9) needs the same exponents to be equal:
[tex]\big9^{2x + 1}=\big9^{3x-2}\quad\iff\quad 2x+1=3x-2\\\\2x+1=3x-2\\\\2x-3x=-2-1\\\\-x=-3\\\\x=3[/tex]
The computation of the indices show that the value of x in 9^(2x + 1) = 9^(3x – 2) is 3.
How to calculate the indices?From the information given, we are told to simply solve 9^(2x + 1) = 9^(3x – 2). In this case, the exponents given are equal which is 9.
Therefore, 2x + 1 = 3x - 2
Collect like terms
3x - 2x = 1 + 2
x = 3
Therefore, the value of x is 3.
Learn more about indices on:
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Find the distance between each pair of points. Round to the tenths place.
Answer:
12.0
Step-by-step explanation:
Given the two points shown on the graph above, assuming 1 unit = 1 box, the coordinates of the two points are: (2, 7) and (-6, -2)
Use the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_2)^2} [/tex], to find the distance between points (2, 7) and (-6, -2)
Let,
[tex] (2, 7) = (x_1, y_1) [/tex]
[tex] (-6, -2) = (x_2, y_2) [/tex]
[tex] d = \sqrt{(-6 - 2)^2 + (-2 - 7)^2} [/tex]
[tex] d = \sqrt{(-8)^2 + (-9)^2} [/tex]
[tex] d = \sqrt{64 + 81} = \sqrt{145} = 12.0 units [/tex] (nearest tenth)
The sum of two number is 50. The second number is five times the first. Find the number
Answer:
x=25/3 & y=125/3
Step-by-step explanation:
Let first number be x
Second number be y
x+y=50
y=5x
=>x+5x=50
=>6x=50
=>x=50/6
=>x=25/3
If f(x) = 4, then x
Answer:
x=4/f
Step-by-step explanation:
is 34.223 greater than 34.232
Answer:
Yes
Step-by-step explanation:
Is [tex]34.223[/tex] greater than [tex]34.232[/tex]?
Let's compare these two decimals.
[tex]34.223[/tex] ? [tex]34.232[/tex]
It may look like [tex]34.232[/tex] is bigger but it actually isn't. The first thing you have to do is look at the last digit in the decimal.
In the first decimal([tex]34.223[/tex]), the last digit is 3. In the second decimal([tex]34.232[/tex]), the last digit is 2. 3 is bigger than 2 so the decimal that is greater is [tex]34.223[/tex].
Hope this helps!
12+-5= plz help would be great if soon
Answer:
7
Step-by-step explanation:
Basically when you add negative numbers, you subtract, if that makes sense.
Example:
If you have twelve apples, and then eat five of them, then you have seven left.
What is the smallest possible integer value of $x$ if $12\div(x+1)$ is an integer?
Answer:
The answer is -13.
Step-by-step explanation:
We get the smallest value of [tex]x[/tex] when [tex]x+1[/tex] is the most negative factor of 12, which is -12. Therefore,
[tex]x+1=-12\\x=\boxed{-13}[/tex]
The measure of an angle is equal to the measure of its complement.
Answer:
Step-by-step explanation: just learn
Solve the following expression for Y
3x + 4y = 12
Answer:
y=3
Step-by-step explanation:
the distance between the pair of points (3,5) and (11,11)
Formula: d = √(x2-x1)²+(y2-y1)²
d = √(11-3)²+(11-5)²
d = √8²+6²
d = √64+36
d = √100
d = 10
Best of Luck!
1 27 points from 35 points.
Answer:
127 from 35
127 - 35
92
Step-by-step explanation:
Jen is investigating a quadratic function g(x). She writes four different forms of the function, as shown below. Select the form that reveals the maximum value of g(x) without having to be rewritten.
Answer:
A
Step-by-step explanation:
Since the coefficient of the x² term is negative (we know this because if you look at C, the coefficient of x² is -2, which is negative) we know that the vertex will be the maximum. To find the vertex without having to be rewritten, a quadratic function should be written in vertex form which is y = a(x - c)² + d where (c, d) is the vertex. The answer choice that is written in vertex form is A.
Turn 15/4 Into a decimal show your work
Answer:
3[tex]\frac{3}{4}[/tex] / 3.75
Step-by-step explanation:
[tex]\frac{15}{4}[/tex]
calculate the value
3.75
I need help pleaseeee you get 44 points if you answer my last question and be serious
I dont even know how to start answering that last question...
When converting between the mixed numbers and improper fractions, the ____always stays the same
Answer: Denominator ♥️
Step-by-step explanation:
Jose went to a local electronic store. He found a 45 inch television that cost $255. He asked the store manager if he could give him a discount. The manager agreed to deduct 1/4 off the price of the television. How much money did Jose pay for the television?
Answer:
he paid 168.75
Step-by-step explanation:
multiply 225 by .25 and you would get 56.25 and then subtrsct that from 225 and you would get your answer od 168.75
Answer:
191.25
Step-by-step explanation:
just look up 1/4 of 255 and you get 63.75. Now remove that from 255 and you get your answer.
Sam is playing in a tree house 15 feet above sea level. Levi is swimming in a pool 7 feet below sea level. How far apart are the boys?
Joan bought a soft drink for $3 and 9 candy bars. She spent a total of $21. How much did each candy bar costs?
Answer:
2$ per candy bar
Step-by-step explanation:
21 - 3 = 18
18/9 = 2
Hopefully this helps you :)
pls mark brainlest ;)
Which type of map is this?
Answer:
goo
Step-by-step explanation:
please help me immediately for brainliest
A bus has 6 seats and there are 8 passengers.In how many ways can the bus be filled?
Answer:
The number of ways the bus can be filled is 28 ways
Step-by-step explanation:
The given parameters are;
The number of seats in the bus = 6
The number of passengers available = 8
The number of ways the bus can be filled involve the number of ways of selecting from the 8 passengers taking 6 at a time given as follows;
The combination of n items, taking n items, taking r at a time is [tex]_nC_r[/tex] which can be given as follows;
[tex]_nC_r = \dfrac{n!}{r! \cdot (n - 1)}[/tex]
Therefore;
The number of ways the bus can be filled is therefore;
[tex]_8C_6 = \dfrac{8!}{6! \times (8 - 6)!}= \dfrac{8!}{6! \times 2!} = \dfrac{8 \times 7}{2 \times1} = 28 \ ways[/tex].
Rita drove 792 miles in 11 hours.
At the same rate, how many miles would she drive in 7 hours?
0 miles
x 5 ?
Answer:
Step-by-step explanation:
Let's write an expression.
Let's say m is miles and h is hours.
[tex] 792m = 11h [/tex]
Simplify.
11 ÷ 11 = 1
792 ÷ 11 = 72
Let's rewrite our expression.
[tex] 72m = 1h [/tex]
Using this formula, you can solve anything! :)
Expand each of the following expressions
(b-2) (b+7)
Answer:
[tex] {b}^{2} + 5b - 14[/tex]
Step-by-step explanation:
By algebraic identity:
[tex](x + a)(x + b) = {x}^{2} + (a + b)x + ab \\ we \: have \\ (b - 2)(b + 7) \\ = {b}^{2} + ( - 2 + 7)b + ( - 2)7 \\ = {b}^{2} + 5b - 14[/tex]
Step-by-step explanation:
Hope it is helpful for you
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mark me as a brainest
Given f(x)
5x + 1
2 , solve for f-1(8).
19-4q+q-11 simply the experssion
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▹ Answer
8 - 3q
▹ Step-by-Step Explanation
19 - 4q + q - 11
Combine like terms in terms of q:
-4q + q = -3q
Combine like terms:
19 - 11 = 8
Final answer:
8 - 3q
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
HELP asap pls
question in picture
Answer:
The low is -13 degrees Fahrenheit. The high is 109.4 or 109 2/5 degrees Fahrenheit.
Step-by-step explanation:
To get the low you plug -25 in for C(Celsius) and then you solve for F. First you can multiply both sides by nine. Second you need to distribute the 5, and this will give you 5F-160. Next add 160 to both sides, and now you should have, -65 = 5F. And finally you divide both sides by five to get a final answer of F = -13. To get the high follow these steps again, except this time plug in 43 for C.
Simplify this expression.
2^5(13 +12)
Answer:
800
Step-by-step explanation:
You do 2 to the 5 power, which equals 32. Then add 13 and 12 to get 25. Then multiply 32 and 25 to get 800
Describe the pattern that you see. In your description, include the shapes that create the pattern. You can also mention colors. What is the first term (how does the pattern start)? How does the pattern change with each term? What would the next term in the sequence (pattern) be?
Answer:
Picture 1 has 5 green squares. It is one square with a square coming out from each corner. Picture 2 adds an additional square extending out from each corner square, making a total of 9 squares. This pattern continues, adding 4 green squares total each time. This means Picture 3 has 13 squares, Picture 4 has 17 squares, and Picture 5 will have 21 green squares.
Step-by-step explanation:
Picture one has 5 green squares. It is one square with a square coming out from each corner. Picture 2 adds an additional square extending out from each corner square, making a total of 9 squares. This pattern continues, adding 4 squares total each time. This means Picture 3 has 13 squares, Picture 4 has 17 squares, and Picture 5 will have 21 squares.
gift ond Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money?
Answer:
24
Step-by-step explanation:
Reposted this Bc idk if ppl saw it
Answer:
Hey there!
4 2/3 can be written as 14/3
The ones that represent a rational number are the fourth and fifth options.
Let me know if this helps :)
what is the gcf of 12a²,15a³,18a5
Answer:
[tex]3a {}^{2} [/tex]