Answer:
If you input a value of x then we get the output f(x) = y, which is the function of x. This is a function of x. Hence, x² = y is a function of x.
evaluate the function
Answer:
-16
Step-by-step explanation:
x = -3 is less than -2, so you should use the first equation 5x-1
thus, 5(-3)-1 = -16
5/8k=25
how do i do this?
Answer:
[tex] \frac{5}{8} k = 25 \\ \frac{5k}{8} = 25 \\ 5k = 25 \times 8 \\ 5k = 200 \\ k = \frac{200}{5} \\ k = 40[/tex]
I hope it helped U
stay safe stay happy
Answer:
k=1/40
Step-by-step explanation:
multiple both sides by 8k
5= 25×8k
simplify 25×8k to 200k
5=200k
divide both sides by 200
5/200=k
simplify 5/200 to 1/40
1/40= k
switch sides
k=1/40
A teacher has 15 students in his class, 8 girls and 7 boys. He wants to seat them in three rows of five, but knows that if any row has two girls or two boys sitting next to each other, they will talk and won't pay attention. How many seating arrangements can he make that avoid this
Answer:
609638400
Step-by-step explanation:
Answer:
609638400
Step-by-step explanation:
Each row must alternate boys and girls, so every row is either BGBGB or GBGBG, where B denotes a boy and G denotes a girl. Since there are 8 girls and 7 boys, the teacher must have two rows of GBGBG and one row of BGBGB. There are three ways to choose this row, and once this is done, every seat is reserved for either a girl or a boy. There are 8! ways to arrange the girls in their seats, and 7! ways to arrange the boys, so the total number of seating arrangements is 3 * 7! * 8!
The dot plot below shows the numbers of years of experience of the teachers at City High School.
++
0 2 4 6 8 10 12 14 16 18 20
Years of Experience
Determine where a gap is present in the data set.
between 14 and 18 years
between 5 and 7 years
oooo
between 2 and 4 years
between 11 and 19 years
Submit
Reset
Answer: Between 14 and 18 years
Step-by-step explanation:
There are no dots in that area.
There are ‘n’ arithmetic means between 33 and – 3. If second last mean: second mean = 1: 5, find the value of n.
We know that:
There are n arithmetic means between the numbers 33 and -3
second last mean: second mean = 1:5
Using this, we can find that the value of n is 9.
Now let's see how we need to use the information.
"There are n arithmetic means between the numbers 33 and -3"
This means that we will have a sequence like:
33, a₁, a₂, ..., aₙ, -3
And by the given ratio, we know that:
aₙ₋₂:a₂ = 1:5
Also, because this is an arithmetic sequence we have:
a₁ = 33 + d
a₂ = 33 + d + d
aₙ ₋ ₂ = 33 + (n - 2)*d = -3 - 2*d
Because of the ratio, we will have that:
aₙ₋₂/a₂ = 1/5
We can replace what the left side by:
(-3 - 2*d)/(33 + 2*d) = 1/5
now we can solve this for d.
-3 - 2*d = (33 + 2*d)*(1/5)
5*(-3 - 2*d ) = (33 + 2*d)
-15 - 10d = 33 + 2d
-15 - 33 = 2d + 10d
-48 = 12d
-48/12 = -4 = d
So now we know that the value of d is -4.
Now we can use the equation
aₙ ₋ ₂ = 33 + (n - 2)*d = -3 - 2*d
to find the value of n:
33 + (n - 2)*d = -3 - 2*d
33 + (n - 2)*-4 = -3 - 2*-4
33 - 4n + 8 = -3 + 8
41 - 4n = 5
-4n = 5 - 41 = -36
n = 36/4 = 9
The value of n is 9.
If you want to learn more, you can read:
https://brainly.com/question/11559160
Answer:
Step-by-step explanation:
HI. just posted a question can u help me out pleas please
The price of an item is 33.10 You give the cashier two $20 bills. What is the change?
Answer:
answer) the change is $7.90
(5m-4)/6 -1 = 4m - (3m+10)/2
pls answer fasttt
Answer:
2
Step-by-step explanation:
first multiply everything by 6 to get rid of the fractions
then we get 5m-4 -6 = 24m -9m -30
simplify the equation 5m-10=15m-30
subtract 5m from both sides and add 30 to both sides 10m=20
divide by 10, m=2
What fraction does point A represent on the number line?
0 A
fill in the dimensions and angle measures . Are the dashed segments parallel ?
Answer:
To see whether or not two lines are parallel, we must compare their slopes. Two lines are parallel if and only if their slopes are equal. The line 2x – 3y = 4 is in standard form. In general, a line in the form Ax + By = C has a slope of –A/B; therefore, the slope of line q must be –2/–3 = 2/3.
Write 0.002349 in scientific notation.
Hi! I'm happy to help!
To solve this, we first need to know what scientific notation is. Scientific notation is a way a number is written. You write it using a number ranging from 1 to <10. Then, you multiply this number by [tex]10^{x}[/tex].
In order to make this number reasonable for scientific notation, you have to move the decimal a certain amount of places. In this case you move it 3 places to the right to make your number 2.349. Since we moved it 3 places to the right our x will be -3. (If we'd moved it 3 places to the left, our x would be positive 3.)
So now, we insert our numbers:
2.349·[tex]10^{-3}[/tex]
You write 0.002349 like 2.349·[tex]10^{-3}[/tex], when it is in scientific notation.
I hope this was helpful, keep learning! :D
A receptionist named Tanner spends 3 minutes routing each incoming phone call. In all,
how many phone calls does Tanner have to route to spend a total of 21 minutes on the
phone?
Answer:
7
Step-by-step explanation:
21/3 = 7
Hope this helps!
Question 5
Kaya is riding her dirt bike on a road and spots a pothole ahead.
Kaya slows her car from 20.0 m/s to 5.0 m/s in 3.0 seconds. What
was her acceleration?
Which of the following graphs represents the equation y-2 = 3(x - 1)?
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answer:
y+2= 3(x-1)
y=3x-3-2
y=3x-5
The y - intercept is at (0,-5)
The only graph that has the y-intercept at -5 is C
Answer is =C
Hope it is helpfully.Thankyou.Have a nice day.Answer:
GRAPH B!!!
Step-by-step explanation:
hope this helps :)
Solve the simultaneous equations. to. 3 significant figures.
3x^2 + y^2 = 20
2x + y =3
Answer:
check explanation
Step-by-step explanation:
in eqn 2,
y = 3 - 2x
substitute for it in eqn 1
3x² + y² = 20
3x² + (3 - 2x)² = 20
3x² + 9 - 12x + 4x² = 20
Group like terms;
3x² + 4x² - 12x = 20 -9
7x² - 12x = 11
x(7x - 12) = 11
x = 11,
OR
7x - 12 = 11
7x = 11 + 12
7x = 23
x = 23/7
x = 3.286
To get y, substitute for x in eqn 2
WHEN x = 11,
y = 3 - 2(11)
y = 3 - 22
y = -19
WHEN x = 3.286
y = 3 - 2(3.386)
y = -3.772
There are 5 x 10^3 workers in the shop, and each worker can
fill 6.2 crates with fruit every day. What is total number of crates
filled by the workers each day?
Answer using whole numbers such as 230000 or use scientific
notation in the format 2.3*10^5.
Answer:
31000 or 31 × 10^3
6.2 (5× 10^3)
Which expression has the same value as –7 4/5 + 5 1/6
5 1/6 - 7 4/5
-7 4/5 - 5 1/6
-5 1/6 + (-7 4/5)
5 1/6 - (-7 4/5)
Help me with this question!
Answer:
...
Step-by-step explanation:
Can someone help me with questions 12 and 13 please I am very confused with this two I’ll appreciate it!
Answer:
12. (2, -3)
13. AH: +15 B: +721 CB: 0 N: +462 WB: -1200
Step-by-step explanation:
12.
When a point is reflected over the x-axis, the y coordinate becomes opposite because you are changing its y value, not its x-value. So (-2, 3) reflecting over the x-axis becomes (-2, -3).
The same concept goes for reflecting over the y-axis. The x coordinate becomes opposite because you are changing its x value. (It's like folding the graph in half and seeing where the point matches up with. So (-2, -3) reflecting over the y-axis becomes (2, -3).
13.
All you have to do is list each artifact and where they were found in relation the sea level (0). If it is above sea level then it is a positive number, below sea level is a negative number.
Arrow head: +15 (since it is 15 feet above sea level)
Woven basket: -1200 (since it is 1200 feet below sea level)
Rewrite in simplest terms: -10f – 6(-9f +2)
Answer:
-44f - 12
Step-by-step explanation:
Here's the method :
-10f - 6 (-9f + 2 )
-10f + 54f - 12
-44f - 12
Answer:
[tex]44f - 12[/tex]
Step-by-step explanation:
[tex] - 10f - 6( - 9f + 2)[/tex]
[tex] - 6( - 9 + 2)[/tex]
[tex] - 6 \times ( - 9f) - 6 \times 2[/tex]
[tex]6 \times 9f - 6 \times 2[/tex]
[tex]54f - 6 \times 2[/tex]
[tex]54f - 12[/tex]
[tex] - 10f + 54f[/tex]
[tex]( - 10 + 54)f[/tex]
[tex] = 44f - 12[/tex]
A lumberjack can cut a log into 5 pieces in 20 minutes. How long does it take to cut a log of the same size and shape into 7 pieces? If you dont have the correct answer please dont comment
Answer:
28minutes
Step-by-step explanation:
Use this simple trick, it can be used almost everywhere
Time taken pieces
20mins 5
? 7
An x shape is always multiply and straight line is divide
So (7 x 20) ÷5
If u still don't understand, just comment again
Answer:
Step-by-step explanation:
No that is incorrect 28 is not the answer:
1. 4 cuts every 20 mins it would take one cut every 5 mins. You only need one more cut because 6 cuts make 7 pieces. If you draw it.
1/5= 6/30 so 30 mins!
6. Which number completes the
pattern?
44, 55, ? , 110, 154, 209
F 66
H 88
G 77
J 99
Answer:
(G)77
Step-by-step explanation:
44+11=55.
55+22=77.
77+33=110.
110+44=154.
154+55=209.
Find the distance between the points (-3, 5) and (0, 1)
What is the long division answer for 19 on the outside (left) and 66 on the inside (right)?
Answer:
the answer is irrational (goes on forever) ... look at image...
I assume that the answer that you were to provide is
3 R 9 (3 remainder 9 )
or
[tex]3 \frac{9}{19}[/tex]
Step-by-step explanation:
can someone explain how my teacher got this answer?
Answer:
cause shes smart?
Step-by-step explanation:
1) (3x-5)^2
2) (3xy-1/3)^2
1)
=(3x)² - 2 × 3x × 5+5²
=3²x²2 × 3x × 5+5²
=9x² -2 × 3x × 5 + 5²
=9x² -2 x 3x x 5 + 25
=9x²30x + 25
a shea cd player costs $80 last year and $112 this year. what was the percent of increase in its price
Answer:
40% increase
Step-by-step explanation:
c = final value - initial value
------------------------------------
initial value
112 - 80 = 32
32 / 80 = 0.4
0.4 = 40%
if f(x)= 2(3x²-2x+2). Find:
A) f(x+1)
B) f(3)
C) f(y-2)
24. The expression ax2 + bx + c takes the values 0, 1 and 4 when x takes the values 1, 2
and 3 respectively. Find the value of the expression when x takes the value 4.
Please solve it for me
Answer:
When x takes the value of 4, the expression takes the value of 9.
Step-by-step explanation:
We are given that the expression:
[tex]\displaystyle ax^2 + bx + c[/tex]
Evaluates to 0, 1, and 4 when x = 1, 2, and 3, respectively.
And we want to determine the value of the expression when x = 4.
The expression evaluates to 0 when x = 1. In other words:
[tex]\displaystyle a(1)^2 + b(1) +c = a + b + c = 0[/tex]
We can complete the same for the other two:
[tex]\displaystyle a(2)^2 + b(2) + c = 4a + 2b + c = 1\text{ and } \\ \\ a(3)^2 + b(3) + c = 9a + 3b + c = 4[/tex]
This yields a triple system of equations:
[tex]\displaystyle \left\{ \begin{array}{l} a + b + c = 0 \\ 4a + 2b + c = 1 \\ 9a + 3b + c = 4 \end{array}[/tex]
Solve. We can cancel out the c by multiplying the first equation by negative one and adding it to both the second and the third:
[tex]\displaystyle \begin{aligned} (4a + 2b + c) + (-a - b -c ) &= (-0) + (1) \\ \\ 3a +b &= 1\end{aligned}[/tex]
And:
[tex]\displaystyle \begin{aligned} (9a + 3b + c) + (-a - b -c) &= (-0) + (4) \\ \\ 8a + 2b &= 4\end{aligned}[/tex]
Solve for the two resulting equations. We can multiply the first by negative two and add it to the second:
[tex]\displaystyle \begin{aligned}(8a + 2b) + (-6a -2b) &= (4) + (-2) \\ \\ 2a &= 2 \end{aligned}[/tex]
Hence:
[tex]a = 1[/tex]
Solve for b:
[tex]\displaystyle \begin{aligned} 3a + b &= 1 \\ b&= 1 - 3a \\ b&= 1 - 3(1) \\ b &= -2\end{aligned}[/tex]
And finally, solve for c:
[tex]\displaystyle \begin{aligned} a + b + c &= 0 \\ (1) + (-2) + c &= 0 \\ c &= 1\end{aligned}[/tex]
Hence, our expression is:
[tex]\displaystyle x^2 -2x + 1[/tex]
Then when x = 4:
[tex]\displaystyle (4)^2 - 2(4) + 1= 9[/tex]
In conclusion, when x = 4, the resulting value is 9.
can someone plz plzplz
Step-by-step explanation:
<QTS<BCD<QPO and <ORS<EFG<ACF and <CFE<BED<TUY<ABC+<BCD=180° (being co-interior angles)1. ∠STQ
2. ∠BCD
3. ∠ORS and ∠QPO both are alternate angles of ∠POR
4. ∠EFG
5. ∠DCF and ∠CFH
6. ∠DEB
7. ∠YUT
8. 180° (because they are co-interior angles)
There are two precalculus sections at a high school. Mr. Abel's class has 10 girls and 6 boys, while Mr. Bonitz's class has 10 girls and 12 boys. If a precalculus student chosen at random happens to be a girl, what is the probability she is from Mr. Abel's class?
Answer:gggggggggg
Step-by-step explanation:
gggggggggggggggggggggggggggggggggggggg