4(a+3) - 7 = 6a -21 aaaaaaaaaaaaaaaaaa
Answer:
a=13
Step-by-step explanation:
4a+12-7=6a-21
combine like terms
4a+5=6a-21
sub 4a from each side
5=2a-21
add 21 to each side
26=2a
divide each side by 2
a=13
Answer:
:)
Step-by-step explanation:
a=13
Directions: Find the value of x.
102
(9x +12)
Answer:
10
Step-by-step explanation:
you subtract 12 from 102 and get 90. then you divide 90 by 9 and it equals 10. to figure these problems out I always do the order of operations in reverse starting with the answer.
.The square of a real number c is 11 less than the square of 5.
In an earlier chapter we learned that
32=3⋅3=9
We said that 9 was the square of 3. The square of -3 is 9 as well
(−3)2=(−3)⋅(−3)=9
3 and -3 are said to be the square roots of 9.
All positive real numbers has two square roots, one positive square root and one negative square root. The positive square root is sometimes referred to as the principal square root. The reason that we have two square roots is exemplified above. The product of two numbers is positive if both numbers have the same sign as is the case with squares and square roots
a2=a⋅a=(−a)⋅(−a)
A square root is written with a radical symbol √ and the number or expression inside the radical symbol, below denoted a, is called the radicand.
a−−√
To indicate that we want both the positive and the negative square root of a radicand we put the symbol ± (read as plus minus) in front of the root.
±9–√=±3
Zero has one square root which is 0.
0–√=0
Negative numbers don't have real square roots since a square is either positive or 0.
If the square root of an integer is another integer then the square is called a perfect square. For example 25 is a perfect square since
±25−−√=±5
If the radicand is not a perfect square i.e. the square root is not a whole number than you have to approximate the square root
±3–√=±1.73205...≈±1.7
The square roots of numbers that are not a perfect square are members of the irrational numbers. This means that they can't be written as the quotient of two integers. The decimal form of an irrational number will neither terminate nor repeat. The irrational numbers together with the rational numbers constitutes the real numbers.
Example
irrationalnumber⇒19−−√≈4.35889...
rationalnumber⇒0.5=12
The value of c if, The square of a real number c is 11 less than the square of 5 is 3.74.
What is equation?In other terms, an equation is a mathematical statement stating that "this is equivalent to that." It appears to be a mathematical expression on the left, an equal sign in the center, and a mathematical expression on the right.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given:
The square of a real number c is 11 less than the square of 5,
Write the equation as shown below,
c² = 5² - 11
c² = 25 - 11
c² = 14
c = √14
c = 3.74
To know more about equation:
https://brainly.com/question/12788590
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The complete question is, The square of a real number c is 11 less than the square of 5, find the value of c?
The histogram below displays the distribution of 50 ages at dHere are the number of hours that 9 students spend on the computer on a typical day:_______.
3 3 5 7 7 9 9 9 12
What is the mode number of hours spent on the computer?
Answer:
9
Step-by-step explanation:
There are 9 students who spend the following number of hours in a typical day on the computer.
3,3,5,7,7,9,9,9,12
The mode is the number that is of the highest frequency in any given set of values.
The mode number of hours is the highest number of hours spent on the computer.
The number 9 occured the most times. Therefore the mode hour is 9
Which expression represents the following calculation?
"Add 2 and 10, then multiply by 3, then add 9."
Answer:
I think it's...
[(2 + 10) × 3] + 9
what is the solution of sqaure root -4x = 100
Answer:
I’m pretty sure it’s -2500
Step-by-step explanation:
Answer:
I think it would be x = -2500
Step-by-step explanation:
You square both sides to get rid of the square root and get -4x = 10000 then divide 10000 by -4 to get -2500
need help quick, i have a timer
Answer:
You should be good with A
Step-by-step explanation:
ASAP PLS HELPPPPPPPPPPPP ME ITS DUE TODAY!!!!!
WILL MARK BRAINLIEST IF GOOD ANSWER
Rewrite 7 − 8 using the additive inverse and display the new expression on a number line. (5 points)
Select one:
a.
7 + (−8)
An image of a horizontal number line is shown with labels from negative 2 to positive 8. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at negative 1.
b.
7 + 8
An image of a horizontal number line is shown with labels from 0 to 15. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at 15.
c.
7 − (−8)
An image of a horizontal number line is shown with labels from 0 to 15. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at 15.
d.
8 − 7
An image of a horizontal number line is shown with labels from negative 2 to positive 8. An arrow begins at 0 and ends at 8. Another arrow begins at 8 and ends at 1.
Answer:
i believe it is b
Step-by-step explanation:
Answer: B
Step-by-step explanation:
It is B because It would be the inverse of the equation, which is the opposite of the equation and It is 7+8.
Which function displays this end behavior?
• As xapproaches negative infinity, y approaches positive infinity.
• As xapproaches positive infinity, yapproaches negative infinity.
A.) y = (x+ 2)^3 -9
B.) y = -2x^3-1
C.) y = -3x^3 + 4
D.) y = 3(x-1)^2
The functions that displays the behavior that as x approaches -∞, y approaches ∞ and as x approaches -∞, y approaches -∞ are:
Option B: [tex]y = -2x^3-1[/tex]Option C: [tex]y = -3x^3 + 4[/tex]How to find the value of the function as x approaches infinity(+ve or -ve)?If limits exist, we can take limits of the function, where x tends to -∞ or ∞, and that limiting value will be the value the function will approach.
Testing all the four functions listed for x tending to -∞ or ∞:
Case A: [tex]y = (x+ 2)^3 -9[/tex]1. For x approaching -∞
[tex]lim_{x \rightarrow -\infty} (y) = lim_{x \rightarrow -\infty} ((x+2)^3 - 9) = -9 + lim_{x \rightarrow -\infty} ((x+2)^3) \rightarrow - \infty[/tex]
(since cube of negative quantity is going to be negative)
Thus, function also tends to -∞. So this function doesn't satisfy first case, thus, we don't need to test other case as only that function is needed which can satisfy both the cases.
Case B: [tex]y = -2x^3-1[/tex]1. For x approaching -∞
[tex]lim_{x \rightarrow -\infty} (y) = lim_{x \rightarrow -\infty} (-2x^3 - 1) = -1 + lim_{x \rightarrow -\infty} (-2x^3) \rightarrow \infty[/tex]
(this time, negative sign was canceled by outer negative. So function approaches positive infinity as x approaches negative infinity.
2. For x approaching ∞
[tex]lim_{x \rightarrow \infty} (y) = lim_{x \rightarrow \infty} (-2x^3 - 1) = -1 + lim_{x \rightarrow \infty} (-2x^3) \rightarrow -\infty[/tex]
So function approaches negative infinity as x approaches positive infinity
Thus, the considered function behaves as needed.
Case C: [tex]y = -3x^3 + 4[/tex]Similar to above cases, we can see that negative sign and cube power will make this function go to positive infinity as x approaches negative infinity, and as x approaches positive infinity, the function will approach negative infinity.
Remember that finite constants added or subtracted from arbitrary large quantities(positive or negative infinity) can't affect them.
Case D: [tex]y = 3(x-1)^2[/tex]Here x is in square power, no matter if x approaches +ve or -ve infinity, the square term would make it positive. So this function cannot approach negative infinity.
Thus, only Option B and C are performing as needed. Therefore, the functions that displays the behavior that as x approaches -∞, y approaches ∞ and as x approaches -∞, y approaches -∞ are:
Option B: [tex]y = -2x^3-1[/tex]Option C: [tex]y = -3x^3 + 4[/tex]Learn more about limiting values of a function here:
https://brainly.com/question/13146225
Answer: y=-2x^-1
Step-by-step explanation:
3(c+4) what's da answer
Answer:
c=4
Step-by-step explanation:
3(c+4)
3c+12
c=4
I hope this is correct and have a great day
which numbers are rational A)-4.34
B)0.43222
C)7.234156
Answer:
C
Step-by-step explanation:
The other 2 aren't rational numbers
I am not completely confident in my answer, so lmk if it's right
What is the answer for
(1, 1) and (1,9)
Answer:
9/0
Step-by-step explanation:
Please solve this question
3x-9<12
Answer:
Step-by-step explanation:
3x-9<12
You carry the 9 to the other side and do the inverse(opposite of take away
3x<12+9
3x<21
3x/3x
To cancel out the the x you must devide them together and then devide 21÷3
21/3=7
X<7
Answer: x<7 or (-infinity,7)
Step-by-step explanation:
3x-9<12
3x<21
x<7
Which two expressions are equivalent to 30+45
Answer:
there aren't any options, but anything that's = to 75 will be equivalent to this expression
Step-by-step explanation:
What is the y-intercept of the quadratic function
f(x)= (- 8)(x +3)?
Answer:
-24
Step-by-step explanation:
The standard from of equation of a line is expressed as g(x) = mx+c where;
m is the slope
c is the y-intercept of the line.
Given the expression g(x)= (- 8)(x +3), rewriting in standard form first we have;
g(x)= (- 8)(x +3)
gx)= -8x - 24
On Comparing with g(x) mx+ c, we will see that;
c = -24
Hence the y-intercept of the quadratic function is -24
Need answers for 5 and 6 please it’s algebra math hurry please
A store owner offered a 25% discount off the regular price of a pair of shoes. The amount of the discount is $4.
What is the regular price of the shoes?
A $8
B $12
C $20
D $16
Answer:
D
Step-by-step explanation:
25% of 16 is 1/4x16=4, which leaves D as as your answer
Answer:
d
Step-by-step explanation:
instead of taking away 4 add it until you have 100%
HELP ME PLEASE I AINT GOT NO MORE WNERGY helpppppppp
Answer:
copy and paste youll get it
Step-by-step explanation:
Answer:
1350
Step-by-step explanation:
humm
Help plz! Will give brainliest!
Answer: the answer is d god bless you and plz can i have brainliest i only need 1 more
Step-by-step explanation:
Answer:
D sqrt 72
Step-by-step explanation:
The answer is not A because 8.89 = sqrt 79 and that is too high
The answer is not B because 9.06 = sqrt 82
The answer is not C because 7.94 = sqrt 63
The answer is D 8.49 = sqrt 72 and that is perfect.
Hello! :)
Please help me answer this question ! And explain how you answers it. I will give brainslt :)
Answer:
The correct answer is A.
Step-by-step explanation:
The rule with a function is every input has exactly one output. In the answer choices b, c, and d all of them has a repeating input or x value.
PLEASE HEL0 :( 20 points!
Answer:
a c b and f
Step-by-step explanation:
10 points for correct answer and giving brainliest
Answer:
A
Step-by-step explanation:
We know it cant be -6 as that would be a range and since the circle on the end is hallow it wont be less or equal to rather just less than and the since the next one is 2 and its solid circle it has to be less than or equal too
Answer:
A. -9 < x ≤ -2
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
According to the graph, the line's x-values span from -9 to 2. Since -9 is an open dot, it is exclusive in the domain. Since 2 is a closed dot, it is inclusive in the domain:
(-9, 2] or -9 < x ≤ -2
The book store is having a sale. Every book is $5 off, regardless of the original price.
The sale price for every book is $5 less than the original price.
Let x = original price
Let y = sale price
Which equation represents this situation?
A. y = × + 5
B. y = × - 5
C. y = 5x
D. y = × ÷ 5
Answer:
y=x-5
Step-by-step explanation:
sale price (y) is equal to the original (x) minus five dollars
Answer:
y = x - 5
Step-by-step explanation:
I took the test on A P E X
Henry is making a corn grits recipe that calls for 14 cup of corn grits for every 12 cup of water.
How much water will he need if he uses 112 cups of corn grits?
Answer:
2 cups of water
Step-by-step explanation:
Abigail invested $29,000 in an account paying an interest rate of 2.1% compounded continuously
Answer:
6090
Step-by-step explanation:
HELP ASAPPP PLZZZZ!
Answer:
the second statement isn't true
Answer:
its the 2nd one
Step-by-step explanation:
have a good day
Player 1 and player 2 are running laps around a field. Player 1 runs 1 lap every 4 minutes, while player 2 runs 1 lap every 15 minutes. If player 1 and player 2 begin their run at the same time and location on the field, in how many minutes will they meet to begin their next lap together?
Answer:
15 min
Step-by-step explanation:
if it takes Player 1 one min he will meet player two at there second lap after 15 min
If player 1 and player 2 begin their run at the same time and location on the field, In 60 minutes will they meet to begin their next lap together.
What is LCM?The LCM of any two is the value that is evenly divisible by the two given numbers.
Given,
Player 1 and player 2 are running laps around a field
Player 1 runs 1 lap every 4 minutes,
player 2 runs 1 lap every 15 minutes
We need to find in how many minutes will they meet to begin their next lap together
We need to find the LCM of 4 and 15 to find the answer
4: 4, 8,12,16, 20,24,28,32,36,40,44,48,52,56,60
15: 15,30,45,60
The least common multiple of 4 and 15 is 60.
The two players meet at the same point after 60 minutes.
Hence If player 1 and player 2 begin their run at the same time and location on the field, In 60 minutes will they meet to begin their next lap together.
To learn more on LCM click:
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What is the volume of a sphere with a diameter of 4 meters? (Use 3.14 for π.) 18.84 m 3 100.48 m 3 33.49 m 3 25.12 m 3
Answer:
Step-by-step explanation:
the formula for Volume of the sphere is
V=4/3 * π*r^3
diameter =4, r=2
V=4/3 * 3.14 * 8=33.49
The gas tank and Bob's car has 2.5 gallons of gas left in it Bob filled his gas tank and paid $45 the price for a gallon of gas was $3.05 approximately how many gallons of gas does Bob's tank hold
Answer:
45 divided by $3.05= 14.75
14.75 + 2.5 gallons = 17.25 gallons
Approximate volume gas tank will hold is 17 gallons.
Step-by-step explanation:
Need help please it’s due today show work
Answer:
30+ deg -10 =20+deg
so answer is see mark brainliest plz