simplify this expression
x⁵×x²
Answer:
Step-by-step explanation:
=x7
GUITAR Lydia wants to purchase guitar
lessons. She sees a sign that gives the prices
for 7 guitar lessons and 11 guitar lessons.
Write a linear equation to find the total
cost for a lessons.
The answer would be C=10d+12
Hope this helps
Have a great day/night
The total cost for the guitar lessons includes an initial cost fee which is
added to the unit cost.
Where the cost of 7 lessons is a and the cost of 11 lessons is b, we have
The total cost of lessons is; [tex]\displaystyle y = \mathbf{ \frac{1}{4} \cdot ((b - a) \cdot x + 11 \cdot a - 7 \cdot b)}[/tex]Where the cost for 7 lessons is $82, and the cost of 11 lessons is $122, we have;
The total cost of lessons is; f(x) = y = 10·x + 12 and one lesson costs $22Reasons:
The general equation for the total cost of lessons is;
Let a represent the cost of 7 guitar lessons, and let b represent the cost of
9 guitar lessons, given that the cost increases linearly with the number of
lessons, we have;
The cost increase per lesson = The slope of the linear function representing the total cost of a guitar lesson
Therefore;
[tex]\displaystyle Slope = \frac{b - a}{11 - 7} = \mathbf{\frac{b - a}{4}}[/tex]
Expressing the equation in the slope and intercept form, we have;
[tex]\displaystyle (y - a) = \frac{b - a}{4} \cdot (x - 7)[/tex]
[tex]\displaystyle y = \frac{b - a}{4} \cdot x - 7 \times\frac{b - a}{4} + a = \frac{b - a}{4} \cdot x+ \frac{11\cdot a - 7 \cdot b}{4}[/tex]
[tex]\displaystyle y = \frac{b - a}{4} \cdot x+ \frac{11\cdot a - 7 \cdot b}{4} = \mathbf{\frac{1}{4} \cdot ((b - a) \cdot x + 11 \cdot a - 7 \cdot b)}[/tex]
The total cost is; [tex]\displaystyle \underline{y = \frac{1}{4} \cdot ((b - a) \cdot x + 11 \cdot a - 7 \cdot b)}[/tex]Where, in a similar question, a = $82, b = $122, we have;
[tex]\displaystyle y = \frac{1}{4} \cdot(122 - 82) \cdot x+ \frac{1}{4} \cdot (11\times 82 - 7 \times 122)= 10 \cdot x + 12[/tex]
y = 10·x + 12
The total cost of x lessons is; f(x) = y = 10·x + 12
The total cost of a lessons is; y = 10 × 1 + 12 = 22
The cost of a lesson, f(1) = $22Learn more about linear relationships here:
https://brainly.com/question/2154877
A swimmer dives to 65 feet below the surface of the ocean. Write the integer that represents the depth of the dive.
Answer:
-65
Step-by-step explanation:
What is the value of x?
Answer:
x = 14
Step-by-step explanation:
Hey there! When it comes to the problem here, both of the degrees should be equal to each other. Setting it up, 4x+1=57 would be how it would be written out, and then you would subtract the 1 to get the 4x by itself. From there, you'd divide 56 by 4, getting you 14. I hope this helped! <3
The midpoints of an irregular quadrilateral ABCD are connected to form another quadrilateral inside ABCD. Complete the explanation of why the quadrilateral is a parallelogram.
Answer:
Suppose: M, N, P, Q are the midpoints of AB, BC, CD, AD respectively
=> MNPQ is the quadrilateral inside ABCD
connect B to D, ΔABD has : M is the midpoint of AB
Q is the midpoint of AD
=> MQ is the midpoint polygon of ΔABD
=> MQ // BD and MQ = 1/2.BD (1)
ΔBCD has: N is the midpoint of BC
P is the midpoint of DC
=> NP is the midpoint polygon of ΔBCD
=> NP // BD and NP = 1/2.BD (2)
from (1) and (2) => MQ // NP ( //BD)
MQ = NP (=1/2.BD)
=> MNPQ is a parallelogram.
=> the quadrilateral inside ABCD is a parallelogram.
Step-by-step explanation:
Solve and graph the inequality: -2p > -16
Answer
p>-14Step-by-step explanation:
-2p>-16p>-16+2p>-14can anyone PLEASE HELP ME with this question i really need help
Answer:
x = 49°
Step-by-step explanation:
180 = 90 + 41 + x
x = 180 - 131
x = 49
what is 126.9230769230769 as a percent?
Answer: 18282
Siri
Step-by-step explanationnznsndbdn: just wait %64
−7x − 13 = −48 Some one pls answer this
Answer:
-7x -13= -48 (add 13 to both sides)
-7x = -35 (divide both sides by -7)
x= 5 (is your answer)
Answer:
x = 5
Step-by-step explanation:
-7x - 13 = -48
+13 +13
-7x = -48 + 13
-7x = -35
Divide both sides by -7
x = -35/-7
x = 5
I hope this was helpful!
Could I get brainliest?
The perimeter of a rectangular parking lot is 360 m. If the width of the parking lot is 85 m,what is it’s lenght?
Answer:
95m
Step-by-step explanation:
Formula:p=2(l+w)
360m=2(l+85m)
360m=2l+170m
360m-170m=2l
190m/2=2l/2
L=95m
Patty had $3.75 in quarters and nickels. She has a total of 27 coins. How many quarters does she have?
Answer:
15 nickles 12 quarters
Step-by-step explanation:
The expression 6.4d - 2 gives the number of Indian rupees you receive when you exchange $d at the local currency exchange. How many Indian rupees do you receive when you exchange $10?
Answer:
62 Indian ruppes
Step-by-step explanation:
We were told in the question that:
The expression 6.4d - 2 gives the number of Indian rupees you receive when you exchange $d at the local currency exchange.
The amount of Indian rupees you receive when you exchange $10 is calculated as:
6.4d - 2
d = $10
Hence:
Amount of Indian rupees = (6.4 × 10) - 2
= 64 - 2
= 62 Indian ruppes
Sam had 75 pollywog pralines. He wanted to put them in bags of 3. How many bags
will he need?
12
25
3
30
Answer:
sam will take the 75 pollywog pralines and divide them into the three bags
75÷3 =25
108.9 divided by 19.8=
WILL GIVE BRAINLIST
78 is calories in 3/4. How many calories is in one cup
Answer:
208 or 104
Step-by-step explanation:
PLEASE HELP! Which number completes the system of linear
inequalities represented by the graph?
y> 2r-2 and x + 4y > [blank]
Answer:
5 and 5
Step-by-step explanation:
y and x put a line
What is a fraction equivalent to -6/1
Answer:
-18/3
Step-by-step explanation:
Multiply the denominator and numerator by the same whole number.
i need help with this question
Answer:
its f
Step-by-step explanation:
Andre works as a waiter at a restaurant, where he earns $6 an hour plus tips. After 5 hours of work he has earned $60.20. Write the equation to represents his total earnings for his hours worked.
Answer:
Step-by-step explanation: $6 dollars times 5 equals 30.00 dollars. So Andre made 30.00 dollars from work, and 30.20 dollars.
Help please
Thank you!!!!
Answer:
i think it is 3rd option
Answer:
its the 3rd
Step-by-step explanation:
Write a linear function $f$ with the values $f(0)=8$ and $\ f(4)=20$ .
Answer:
f(x) = 3x + 8 is the required linear function.
Step-by-step explanation:
We know that the slope-intercept form of linear equation is
y = mx+b
here
m is the slope of the line, and b is the y-interceptGiven initial value
f(0) = 8
Meaning at x = 0, y = 8Thus, the y-intercept = b = 8
Also given
at x = 4, f(4) = 20
Meaning at x=4, y = 20so
substituting the point (4, 20) and y-intercept b=8 in the slope-intercept form to determine the slope
y = mx+b
20 = m(4) + 8
20 = 4m + 8
4m = 20-8
4m = 12
Dividing both sides by 4
m = 3
Thus, the slope = m = 3
Now, substituting m = 3 and b = 8 in the slope-intercept of linear function
y = mx+b
y = 3x + 8
or
f(x) = 3x + 8
Thus,
f(x) = 3x + 8 is the required linear function.
VERIFICATION:
Given the linear function
f(x) = 3x + 8
plug in x = 0
f(0) = 3(0) + 8
f(0) = 8
plug in x = 4
f(x) = 3x + 8
f(4) = 3(4) + 8
f(4) = 12+8
f(4) = 20
A triangle is rotated 90° about the origin. Which rule describes the transformation? (x, y) -(-x, -y) (x, y) - (-y, x) (x, y) - (-4, -x) (x, y) (y, -x)
Answer:
(x, y) arrow (-y, x)
Step-by-step explanation:
Therefore rule of counter is (x,y) arrow (-y,x) ...we have given a triangle is rotated 90'
PLEASE HELP! 100 POINTS
Answer:
(-2, 4.111)
(-1, 4.333...)
(0,5)
(1, 7)
Step-by-step explanation:
So for this, you just substitute x with a cero to obtain the x-axis.
So, (0,5)
Then, you do the same with other numbers (replace x) and get the points to later graph it.
Also, you can use desmos, it really helps
Answer:
A.
R.T.
Step-by-step explanation:
Dhte&mfjdcxxbfesfb
Please explain step by step on how to solve this.
Find the second and fifth terms of each sequence. A(n) = 22 + (n – 1)11
Answer:
A(2) = 33
A(5) = 77
Step-by-step explanation:
n is the counter of the terms.
A(n) is the nth term.
A(1) is the first term.
A(2) is the second term.
etc
To find the 2nd term, let n = 2. Then you have
A(2) = 22 + (2 - 1)11
A(2) = 22 + (1)11
A(2) = 22 + 11
A(2) = 33
To find the 5th term, let n = 5. Then you have
A(5) = 22 + (5 - 1)11
A(5) = 22 + (5)11
A(5) = 22 + 55
A(5) = 77
Answer:
A(2) = 33
A(5) = 77
1. A model rocket is launched from the roof of a building. Its flight path through the
air is modeled byn = -312 + 120 + 36, where h is the height of the rocket above the
ground in meters and tis the time after the launch in seconds.
a) What is the height of the building?
b) How long does it take for the rocket to hit the ground?
c) At what time does the rocket reach maximum height? What is the maximum
height?
d) For how long does the rocket have a height of 45m or greater?
Answer:
-156
Step-by-step explanation:
Jackie expects 327 people at her banquet. She noticed that there were 48 napkins in a package. How many full packages of napkins will she need? How many napkins will be left? (only answer if you know)
Answer:
She will need 7 full packs of napkins and will have 9 napkins left over.
Step-by-step explanation:
48*7=336
7 full packs of napkins
336-327=9
9 napkins left over
can someone pls please help me
Answer:
B
Step-by-step explanation:
We have to use the domain to see how much the line streches across the y axis
Answer:
c
Step-by-step explanation:
Plz tell me the answer
Answer:
first is correct
second should be
4a² + 5a
Solve for x.
3x2+8x = 6
(show your work)
Can someone please help me on this question?