Answer:
C. $0.19/ounce
Step-by-step explanation:
We know that 16 ounces = 1 pound but we have 5 pounds,
So, we do 5 times 16.
We get 80 (ounces) and we divided ounces by total cost ($15.25)
We get our answer:
$0.19/ounce
Which is the most efficient method substitution or elimination or graphing to solve the system of equation. Explain why the method you pick is the is the most efficient. 5x + 3y = 6 and -4x -3y = -3
Answer:
see explanation
Step-by-step explanation:
5x + 3y = 6 → (1)
- 4x - 3y = - 3 → (2)
the most efficient method here would be elimination.
add (1) and (2) term by term to eliminate y
x + 0 = 3
x = 3
substitute x = 3 into either of the 2 equations and solve for y
substituting into (1)
5(3) + 3y = 6
15 + 3y = 6 ( subtract 15 from both sides )
3y = - 9 ( divide both sides by 3 )
y = - 3
solution is (3, - 3 )
Answer:
[tex](3,-3)[/tex]
Step-by-step explanation:
[tex]5x + 3y = 6[/tex]
The most efficient method for this equation is elimination.
[tex]x + 0 = 3[/tex]
[tex]5(3) + 3y = 6[/tex]
Substitute x = 3 into any of the equation and solve for y.
[tex]5(3) + 3y = 6[/tex]
[tex]15 + 3y = 6[/tex]
[tex]-15 -15[/tex]
[tex]3y = - 9[/tex]
[tex]\frac{3y}{3}=\frac{-9}{3}[/tex]
[tex]y=-3[/tex]
[tex](3,-3)[/tex]
Graph the function. Then identify the domain and range of the function.
f(x)=3/8x^2
Answer:
Step-by-step explanation:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(−∞,∞)
Set-Builder Notation:
{x|x∈R}
The range is the set of all valid y
values. Use the graph to find the range.
Interval Notation:
[0,∞)
Set-Builder Notation:
{y|y≥0}
Determine the domain and range.
Domain: (−∞,∞),{x|x∈R}
Range: [0,∞),{y|y≥0}
PLEASE EXPLAIN HOW TO DO THIS
Tell whether (-4, 3) is a solution of the system of linear inequalities.
Explanation:
Refer to the diagram below. The point (-4,3) marked in red is outside the blue shaded region. So it doesn't make both inequalities true, and therefore not considered a solution.
In contrast, a point like (-5,1) is a solution as it is in the shaded region.
Put another way, the set of all solution points must be below both the solid line and the dashed line. Points can be on the solid line, but must be adjacent to the blue shaded region. The fact (-4,3) is on the solid line doesn't count because its not below the dashed line.
Classify/name the shape based on the number of sides and markings.
Hint: Two Words
100 points!!!! Whatbis the simplest form of x4y7/3√x10y4
Answer:
The last one.
Step-by-step explanation:
Answer:
y^5 cubed root x^2 y^2
Step-by-step explanation:
edge 2023
Graph the function f(x) = – 4(x + 4)2 square + 7.
Plot the vertex. Then plot another point on the parabola. If you make a mistake, you can erase your parabola by selecting the second point and placing it on top of the first.
Graph attached
Answer:
vertex = (-4, 7)
(-3, 3) and (-2, -9)
(-6, -9) and (-5, 3)
Step-by-step explanation:
Given function: [tex]f(x) = -4(x + 4)^2 + 7[/tex]
Vertex form of a quadratic function: [tex]f(x)=a(x-h)^2+k[/tex]
(where (h, k) is the vertex)
From inspection, we can see that the given function is in vertex form.
h = -4 and k = 7
Therefore, the vertex is at (-4, 7)
As [tex]a[/tex] is negative, the parabola will open downwards.
When graphing functions, it is useful to determine the axis intercepts.
The curve will intercept the y-axis when x = 0.
Substituting x = 0 into the function:
[tex]f(0) = -4(0 + 4)^2 + 7=-57[/tex]
Therefore, the y-intercept is at (0, -57)
**cannot plot this on the given graph area as it is out of range**
The curve will intercept the x-axis when y = 0.
Setting the function to 0 and solving for x:
[tex]-4(x + 4)^2 + 7=0[/tex]
[tex]\implies -4(x + 4)^2=-7[/tex]
[tex]\implies (x + 4)^2=\dfrac74[/tex]
[tex]\implies x+4=\pm\sqrt{\dfrac74}[/tex]
[tex]\implies x=-4\pm\dfrac{\sqrt{7}}{2}[/tex]
Therefore, the x-intercepts are at (-2.7, 0) and (-5.3, 0) to 1 dp.
Finally, input values of x either sides of the x-intercepts for further plot points:
(-3, 3) and (-2, -9)
(-6, -9) and (-5, 3)
let a and b be the roots of the equation x^2-2(p+1)x+p^2+8=0. If the absolute value of the difference of a and b equals to 2. find p
Answer:
4
Step-by-step explanation:
a and B are the roots of
[tex] {x}^{2} - 2(p + 1)x + {p}^{2} + 8 = 0[/tex]
[tex] {x}^{2} - 2px - 2x + {p}^{2} + 8 = 0[/tex]
This look like a parabola since p will be a constant so let use a quadratic formula
[tex] {x}^{2} -(2p + 2)x + {p}^{2} + 8 = 0[/tex]
[tex]2p + 2± \frac{ \sqrt{4 {p}^{2} + 8p + 4 - (4 {p}^{2} + 32) } }{2} [/tex]
[tex]2p + 2± \frac{ \sqrt{8p - 28} }{2} [/tex]
[tex]2p + 2± \frac{2 \sqrt{2p - 7} }{2} [/tex]
[tex]2p + 2± \sqrt{2p - 7} [/tex]
So the roots are
[tex]2p + 2 + \sqrt{2p - 7} [/tex]
and
[tex]2p + 2 - \sqrt{2p - 7} [/tex]
We know the distance between these two points are
2 so
[tex] |(2p + 2) + \sqrt{2p - 7} - (2p + 2) - \sqrt{2p - 7} | = 2[/tex]
[tex] | \sqrt{2p - 7} + \sqrt{2p - 7} | = 2[/tex]
[tex] |2 \sqrt{2p - 7} | = 2[/tex]
[tex]2 \sqrt{2p - 7} = 2[/tex]
[tex]p = 4[/tex]
Let plug it in to see.
[tex] {x }^{2} - 2(4 + 1)x + {4}^{2} + 8 = 0[/tex]
[tex] {x}^{2} - 10x + 24 = 0[/tex]
[tex](x - 6)(x - 4) = 0[/tex]
[tex]x = 4[/tex]
[tex]x = 6[/tex]
So they have a distance of 2.
What is the remainder when dividing the sum (2001 + 2002 + 2003 + 2004 + 2005) by 2004?
Answer:
4.99750499002
Step-by-step explanation:
Answer:
1984
Step-by-step explanation:
(2001 + 2002 + 2003 + 2004 + 2005) by 2004
10015/2004
4 remainder 1984
Hope this helps!
3. A Salesman Sold
$65,100 in bikes.
He eared a 20%
Commission. How
much did he earn?
Answer:
13020
Step-by-step explanation:
The formula below gives the monthly payment m needed to pay off a loan of P dollars atr
percent annual interest over N months, Which of the following gives P in terms of m, r, and N?
Answer:
This day is going to be perfect
The kind of day of which I dreamed since I was small
Everypony will gather round
Say I look lovely in my gown
What they don't know is that I have fooled them all
Step-by-step explanation:
What is the sum of the first 67 consecutive odd numbers
odd numbers are numbers which are divisible by 3,5,7 etc.....odd numbers between 60 and 70 are 63 65 67 and 69 the sum is 264
How many different 2-digit numbers can be formed with no digit repeated by using the digits 6, 1, 2, or 4?
Answer:
12
Step-by-step explanation:
61 62 64 16 12 14 26 21 24 46 41 and 42
please help ASAP!!!!!
Answer:
that would be 26
Step-by-step explanation:
you got this!
If you you give sally 26 apple and take 13 apples away. How much apples would Sally have left? PLS HELP!!!!!!!!!
Answer:
she'd have 13 left hope this helps:)
If three folders cost $2.91 help us determine how much is two floders
Solve: 4 In x=2 In 25
Ox=5
O x = 25
O x = 625
•
•
•
• it’s A =5
•
•
•
Second part is
• it’s B =6
Answer:
x = 5Step-by-step explanation:
Solve the equation in steps as below4 ln x = 2 ln 252 ln x = ln 252 ln x = ln 5²2 ln x = 2 ln 5ln x = ln 5x = 5if amount is 7,500, time is 2years and rate is 10% then find principal?
Answer:
Principal = $9,152.93
Step-by-step explanation:
A = $9,152.93
A = P + I where
P (principal) = $7,500.00
I (interest) = $1,652.93
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 10/100
r = 0.1 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 7,500.00(1 + 0.1/12)(12)(2)
A = 7,500.00(1 + 0.008333333)(24)
A = $9,152.93
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $7,500.00 at a rate of 10% per year compounded 12 times per year over 2 years is $9,152.93.
Need help on this question ASAP pleasee and thanks!
Answer:
Sorry but I don't know the answer too this question
In an election between two candidates, the winner received 65% of the 15,000 votes. The loser received the remaining votes. How many more votes did the winner receive than the loser?
Answer:The winner recieved 4,500 more votes than the loser
Step-by-step explanation:
Answer:
5,250
Step-by-step explanation:
The first step is to set up a porportion like this one
[tex]\frac{?}{15,000} \frac{65}{100}[/tex]
Next, you cross multiply and divide. 15,000 times 65 is 975,000
Then divide this by 100 which is 9750. This is the number of votes the winning candidate received. Subtract this number from 15,000 to get 5,250. Hope this helps!
A bookstore has a shelf that is 27 1/2 inches long. Each book is 1 1/4 inches thick. How many books can fit on shelf
Answer:
34.375
Step-by-step explanation:
You first have to count and see how many times the selected number goes into the whole number
27.5 / 1 1/4 = 34.375 and if we remove the extra decimal 34.37
If y varies directly w x and y = -12 when x = 6 find x when y = -4
Which expression results when the change of base formula is applied to log subscript 4 baseline (x 2)? startfraction log (x 2) over log 4 endfraction startfraction log 4 over log (x 2) endfraction startfraction log 4 over log x 2 endfraction startfraction log x 2 over log 4 endfraction
When the change of base formula is applied to log subscript 4 baseline (x+2), the result is [tex]\dfrac{log(x+2)}{log4}[/tex].
What are the Properties of logarithms?There are four basic properties of logarithms:
[tex]\rm log_aU+ log_aV = log_a(UV)\\\\log_aU - log_aV = log_a(\dfrac{U}{V})\\\\log_aU^n = n\ log_aU\\\\\log_ab = \dfrac{log_xb}{log_xa}\\\\[/tex]
When the change of base formula is applied to log subscript 4 baseline (x 2), the result expression will be,
[tex]\rm log_4(x+2)=\dfrac{log_{10}(x+2)}{log_{10}4}=\dfrac{log(x+2)}{log4}[/tex]
Hence, when the change of base formula is applied to log subscript 4 baseline (x+2), the result is [tex]\dfrac{log(x+2)}{log4}[/tex].
Learn more about Logarithms:
https://brainly.com/question/7302008
Answer:
a - StartFraction log (x + 2) Over log 4 EndFraction
Step-by-step explanation:
edge 2022
An ad says that 6 lemons cost $1.86. What will 8 lemons cost?
Answer: 2.48
Step-by-step explanation:
We have the ad that shows:
6 lemons for .....................1.86 dollars
8 lemons..............................?
the cost for 8 lemons= (8*1.86)/6=2.48
of course we can use another method,
1.86/6=0.31 cents for 1 lemon
8*0.31=2.48 and we get the same answer
Answer:
$2.48
Step-by-step explanation:
1.86/6=0.31 which is the cost for 1 lemon. 0.31*8=2.48 which is for 8 lemons.
If the base of a square building and an equilateral triangle building have the same perimeter,
how do the areas of their floors compare?
The relationship between the areas of the floors is [tex]A_s = \frac{3\sqrt 3}{4} A_t[/tex]
How to compare the areas?Let the side length of the base of the square building be l, and the side length of the base of the equilateral triangle building be s
So, the perimeter of both buildings is
P = 4l --- the squareP = 3s --- the equilateral triangleBoth perimeters are equal.
So, we have:
4l = 3s
Divide both sides by 4
[tex]l = \frac 34s[/tex]
Square both sides
[tex]l^2 = \frac{9}{16}s\²[/tex]
The area of an equilateral triangle is:
[tex]A_t = \frac{\sqrt 3}{4}s^2[/tex]
And the area of a square is
[tex]A_s = l^2[/tex]
Make s^2 the subject in [tex]A_t = \frac{\sqrt 3}{4}s^2[/tex]
[tex]s^2 = \frac{4A_t}{\sqrt 3}[/tex]
Substitute [tex]s^2 = \frac{4A_t}{\sqrt 3}[/tex] and [tex]A_s = l^2[/tex] in [tex]l^2 = \frac{9}{16}s\²[/tex]
[tex]A_s = \frac{9}{16} * \frac{4A_t}{\sqrt 3}[/tex]
Evaluate
[tex]A_s = \frac{9}{4} * \frac{A_t}{\sqrt 3}[/tex]
Rationalize
[tex]A_s = \frac{3\sqrt 3}{4} A_t[/tex]
Hence, the relationship between the areas of the floors is [tex]A_s = \frac{3\sqrt 3}{4} A_t[/tex]
Read more about perimeter and area at:
https://brainly.com/question/24571594
PLS HELP ME WITH THIS
You spend half of your allowance on Monday.
On Tuesday, you spend half of what is left.
Then on Wednesday, you spend half of what remains.
What fraction of your allowance do you have left? Choose the most reasonable answer.
Answer:
Assuming you want to know what fraction of the original amount you have.
a = allowance
(1/2)a = what have left after Monday
(1/2(1/2)a = what you have after Tuesday
(1/2)(1/2)(1/2)a = what you have after Wednesday.
Doing the multiplication.
(1/8)a = what you have left.
You have 1/8 of what you had at the start.
Hope this help u
Answer:
1/8 i think
Step-by-step explanation:
Please help really quick I really need some help with this question
Answer:
first two are right because the scatterplots align well with both graphs in the direction described
Step-by-step explanation:
Given the rectangle below, find the measure of
Answer:
I don't know honestly sorry
Step-by-step explanation:
I tried
what is 3c2+ 2c- 16?
factoring
In the given question, we have to factorise the equation:
3c² + 2c - 16Therefore, by using the middle term splitting method:
This method is used in equations which are in the form of ax² + bx + c. Here, we split the middle term into two terms which on multiplying gives ac and on adding or subtracting gives bx .➙ 3c² + 2c -16
➙ 3c² - 6c + 8c - 16
➙ ( 3c² - 6c )+ (8c - 16 )
➙ 3c( c - 2 ) + 8 ( c - 2 )
➙ ( c - 2 ) ( 3c + 8 )
Factorisation of a quadratic polynomial of the type ax² + bx + c where (a ≠ 1) .
To factorise ax² + bx + c, we have to find two numbers whose sum is equal to the coefficient of x and product is equal to the coefficient of x² and constant term.Consider the factorisation of 3c² + 2c – 16 .
We have to find two numbers whose sum is +2 and product (3 × 16) = 48 .
Obviously, the two numbers are 6 and 8 .
[tex]{ \qquad \sf { \dashrightarrow{ 3c {}^{2} + 2c - 16 }}}[/tex]
So, We can write it as,
[tex]{ \qquad \sf { \dashrightarrow{ 3c {}^{2} + 8c - 6c - 16 }}}[/tex]
[tex]{ \qquad \sf { \dashrightarrow{ c (3c + 8) -2 (3c + 8) }}}[/tex]
[tex]{ \qquad \sf { \dashrightarrow{ ( c -2 )(3c + 8) }}}[/tex]
please help (AP Calc AB) will mark brainliest! image provided
Answer:
So I think your answer is Zero
I think it will help you.