Answer:
f(x)=24
Step-by-step explanation:
Replace x in the function with the value 4.
f(4)= (4)^2 + 3(4) - 4
16 + 12 -4
28 - 4
F(x)= 24
in grouped data each of the group is called?
Answer:
The class interval.
7(1 - 2n) < 33 - n
solve the inequality
show work
Answer:
n > -2
Step-by-step explanation:
7(1 - 2n) < 33 - n
7 - 14n < 33 - n
Subtract 7
-14n < 26 - n
Add n
-13n < 26
Divide by -13
n > -2
Answer:
n > -2
Step-by-step explanation:
Distribution property:
7 - 14n < 33 - n
Bring n over:
7 - 13n < 33
Bring 7 over:
-13n < 26
n > -2
If x2 + 3x + 7 is divided by x + 2, then what is the remainder?
Answer:
ok but thx for the points
Step-by-step explanation:
The remainder when the polynomial x² + 3x + 7 is divided by x + 2 is 5.
A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.
The remainder theorem states that for a polynomial, f(x) divided by a linear polynomial , x - a, the remainder is equal to f(a).
Given the polynomial; f(x) = x² + 3x + 7, since it is divided by x + 2, hence:
x + 2 = 0
x = -2
f(-2) = (-2)² + 3(-2) + 7 = 5
Hence the remainder when the polynomial x² + 3x + 7 is divided by x + 2 is 5.
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You deposit $6000 in an account earning 8% interest compounded monthly. How much will you have in the account in 15 years?
Answer:
13,200
Step-by-step explanation:
6000/100=60
60x8=480
480x15=7,200
6,000+7,200=13,200
If the initial amount is $6000 , rate of interest 8% then after 15 years the amount willbe $19957.218.
What is compound interest?Compound interest is the interest calculated on the principal and the aggregate interest. It may be copounded annually,semi annually, monthly, bimonthly,etc.
How to calculate interest?We have been given that the deposit is $6000,rate is 8% which is compounded monthly.
So effective rate of interest will be 8/1200=0.0067.
n will be 15*12=180
The sum after 15 years=6000[tex](1+0.0067)^{180}[/tex]
S=6000[tex](1+0.0067)^{180}[/tex]
Take log both sides.
log S=log 6000[tex](1+0.0067)^{180}[/tex]
log S=log 6000+log [tex](1+0.0067)^{180}[/tex]
log S=log 6000+180 log (1.0067)
log S=3.7781+180*0.0029
log S=3.7781+0.522
log S=4.3001
S=AL (4.3001)
S=19957.218
Hence if the initial amount is $6000 , rate of interest 8% then after 15 years the amount willbe $19957.218.
Learn more about compound interest at https://brainly.com/question/24924853
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If f(x) = 2x - 3, find the following values: a) f(0)= b) f(-2) = c) f(5)=
[tex]f(0) = 2 \cdot 0 - 3 = 0 - 3 = -3\\f(-2) = 2 \cdot (-2) - 3 = -4 - 3 = -7\\f(5) = 2 \cdot 5 - 3 = 10 - 3 = 7[/tex]
Algebra) Assessment How do you simplify this expression? -12-3. (-8+ (-4)2-6) + 2 Prepare your response to this question. When you are ready, may submit your response as an audio recording or as a written essay. Be sure to include the following: Requirements: • Include various key words you learned within this unit. • List your steps in order so that anyone can follow your steps.
In the given figure, PQ=PR and QS is the bisector of angle PQR. If angle PQS=30°, find angle PSQ.
Answer:
90°
Step-by-step explanation:
PQ=PR ⇒
∠PQR = ∠PRQQS is the bisector of angle PQR ⇒
∠PQS= ∠RQSIf angle PQS=30°, find angle PSQ
∠PQS=30° ⇒
∠PQR = 2*∠PQS = 2*30° = 60°As ∠PQR = 60°,
∠PRQ = 60° and ∠QPR = 60° as remaining angleSo,
∠PSQ = 180° - (∠QPR + ∠PQS) = 180° - 90° = 90°What angle is exactly 90 degrees?
7
Answer:
a Right angle is an angle of exactly 90 degrees
Answer:
A right angle is exactly 90 degrees
Step-by-step explanation:
A right angel is like an L pretty much
plz mark brainest, trying to get to next rank and only need two more.
I not sure how to find the value of the letters
Answer:
a = 31°
b = 66°
Step-by-step explanation:
Reason for the answer to a:
It is an alternate angle. So, a = 31°.
Reason for the answer to b:
It is also an alternate angle. So, b = 35° + 31° = 66°.
g(x)= 2x-4
f(x)= -3x-4
Find (g • f)(x)
Answer:
Step-by-step explanation:
(2x - 4)(-3x -4)
-6x^2 - 8x + 12x + 16
-6x^2 + 4x + 16
Jessica makes overtime pay when she works more than 40 hours in a week. So far this week she has worked 29 hours. She will continue to work h hours this week. Write, solve, and graph an inequality to show the values of h that will allow Jessica to earn overtime pay.
Answer:11 more hours
Step-by-step explanation:
-5x + 3 = 8x + 9 – 3
[tex]\text {Hi There! The answer to your problem is}[/tex]
[tex]\fbox {x=-3/13}[/tex]
[tex]\text {Your 1st Step will be to Simplify the Equation}[/tex]
[tex]\text {-5x+3=8x+9+-3}[/tex]
[tex]\text {-5x+3=(8x)+(9+-3) (Combine Like Terms)}[/tex]
[tex]\text {-5x+3=8x+6}[/tex]
[tex]\text {The Next Step is to Subtract 8x}[/tex]
[tex]\text {-13x+3-3=6-3}[/tex]
[tex]\text {-13x=3}[/tex]
[tex]\text {The Final Step is to Divide by -13}[/tex]
[tex]\text {-13x/13=3/-13}[/tex]
[tex]\text {x=-3/13}[/tex]
[tex]\text {Best of Luck!}[/tex]
[tex]\text {-LimitedX}[/tex]
Construct a square whose area is
36 cm²
Find the perimeter of the figure below, in feet.
5.1 ft
14.8 ft
14.8 ft
14.8 ft
19.9 ft
10 ft
34.7 ft
24.8 ft
14.8 ft
5.1 ft
(Note: diagram is NOT to scale)
Answer:
158.8ft
Step-by-step explanation:
I need help knowing which graphs represent that y is a function of x
Answer:
B, C, F
Step-by-step explanation:
The choices B, C, and F are right because if you do the Vertical line test, the vertical line only intersects one point in the graph. The function only has one output value for each input value.
if de = 6x , EF =4x, and df =10 what is DE
Answer: 6
Step-by-step explanation:
Given DE, EF and DF, we know that DE and EF make up DF. We add DE and EF and set it equal to DF.
6x+4x=10 [add]
10x=10 [divide both sides by 10]
x=1
Now that we know x=1, we can plug that into DE.
6(1)=6
Now, we know that DE is 6.
Round the following whole number to the nearest thousand.
9474
Answer:
9,000
Step-by-step explanation:
9474
Locate the thousands place:
9474
Check the number to the right:
9474
If the number is greater than or equal to 5, we round up. If the number is less than or equal to 4, we round down.
Since there is a '4', we round down.
9474 ≈ 9000
Hope this helps.
[tex](8 + 4 + 3) + (6 + 5 + 11) = [/tex]
Answer:
= 37
Step-by-step explanation:
(8+4+3) + (6+5+11)
= 15 + 22
= 37
Factor out gcf
16x5 – 12x3
Answer:
(16 and 5 = gcf of 1) 12 and 3 = gcf of 3
Step-by-step explanation:
divid both to find the answer
Sparkle Cleaners uses 2 3 of a jug of window cleaner in 3 weeks. How much window cleaner do they use in 1 week? Simplify your answer and write it as a proper fraction, mixed number, or whole number.
Answer:
7⅔ window cleaner
Step-by-step explanation:
23 =3w
x= 1w
3x =23
x= 7⅔ window cleaner
Pleaseeeeeee Help me :((((
Answer:
3
Step-by-step explanation:
bc i know steps to long
Answer:
{x|-25<=x, 30>x} [-25, 30)
Step-by-step explanation:
Set notation is straightforward and just includes putting the lesser and greater signs. For the interval notation, square brackets are for less than and equal or greater than or equal, so I put one for -25. Parentheses are the opposite, only for strict greater or lesser than, so I put a parenthesis.
please help ill mark branilest
I think it's the third choice :)) the one you currently have
y=2x+3 help please ...
Answer:
x=-3/2
y=3
Step-by-step explanation:
i hope this helps
Answer:
x=2x+3 Improper question not enough details The only answer can be found right now is 3x+3
Step-by-step explanation:
Combine like terms and give me brainliest please
Please help me I am confused- qwq
$162.50 because if you add the percentages together, you get 35%
If you subtract 35% off of 250, you get 162.50
HELP ME PLZ, I GIVE BRAINLIEST TO THE PERSON WHO GET'S IT RIGHT
Answer:
f(x)+3 =9+3 =12
2f(x)=2*9=18
2f(x)+3= 18=3 =21
solve for x graph the solution on a number line 13+15+18+x/4 <21
Hey there!
ANSWER: [tex]x<-100[/tex]EXPLANATION:[tex]13+15+18+\frac{x}{4} <21[/tex]
To get x, simplify both sides of the inequality.
[tex]\frac{1}{4}x+46<21[/tex]
Now we have to minus(subtract) 46 from both sides.
[tex]\frac{1}{4}x+46-46<21-46\\ =\frac{1}{4}x<-25[/tex]
In the last step, we'll have to multiply both sides by 4.
[tex]4*(\frac{1}{4}x)<(4)*(-25)=x<-100(ANSWER)[/tex]
For the graph.
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
The human resource department at a certain company wants to conduct a survey regarding worker benefits. The department has an alphabetical list of all 7148 employees at the company and wants to conduct a systematic sample of size 70.
Answer:
The answer is "K= 102"
Step-by-step explanation:
Given:
Number of employees = 7128
sample size =70
k=?
Formula:
[tex]\to K= \frac{\text{Number of employees}}{\text{sample size}} \\\\[/tex]
[tex]= \frac{7148}{70} \\\\= 102.11\ \ \ \ or \ \ \ 102[/tex]
A plumber charges $90 per hour and a $50 travel fee.
The total cost of his last job was $410. Use the equation
90x + 50 = 410 to find x, the number of hours it took to
complete the job.
Answer:
X=4
Step-by-step explanation:
90 x 4 = 360
360+50=410
hope this helps:)
Other than replacing the equal sign with some sort of inequality sign, what is the one big difference we need to keep in mind when solving a linear inequality?
Step-by-step explanation:
In response to this question,
When solving a linear equality, one difference that we must keep in mind other than replacement of = sign with some equality sign is that when we do multiplication or division with a negative number, we are then required as a must to change the direction of the inequality sign.
What is 9x - 3(4x+8)?
Answer:
-3x-24
Step-by-step explanation:
9x - 3(4x+8)
Distribute
9x - 12x - 24
Combine like terms
-3x -24
Answer: -3x-24
Step-by-step explanation: