Answer: 26 sales
Step-by-step explanation:
If you plug in 26 you will get exactly $1,000
Martin needs to sale 8 pieces to make it $1000.
How to elaborate the problem ?
Martin has to save $1000.
He is using an app to manage all the sales, but if keeps fraction of every sales.
The equation which represents his net pay is P(x)=[tex]x^{2}+20x-196[/tex]
How many sales does martin need ?We have to solve the given quadratic equation.
Here, x= (-b±[tex]\sqrt{ b^{2}-4ac }[/tex])/2a
⇒ x= (-20±[tex]\sqrt{400+4*196}[/tex])/2
⇒ x= (-20±[tex]\sqrt{1184}[/tex])/2
⇒ x= -10±[tex]\sqrt{296}[/tex]
⇒ x= -10±17.2
We habe to take the maximum value of x. So we neglect the negative sign.
Hence, x= -10+17.2 = 7.2 = 8 (approx) ,here we can not take 7 because if he sales 7 pieces then the money should less than $1000.
Learn more about Quadratic equation here :
https://brainly.com/question/27272153
#SPJ2
Please answer. Show work. Find volume. Thanks!
Answer:
225
Step-by-step explanation:
if you convirt them all to fractions and make it 5/1*10/1*36/1=225
Find the distance between the two points in simplest radical form.
(-1,-1) and (5,-9)
[tex]\sqrt{ { (x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ \\ = \sqrt{( {5 - ( - 1)}^{2} + {( - 9 - ( - 1)}^{2} )} \\ \\ = \sqrt{ {(5 + 1)}^{2} + {( - 9 + 1)}^{2} } \\ \\ = \sqrt{ {(6)}^{2} + {( - 8)}^{2} } \\ \\ = \sqrt{36 + 64} \\ \\ = \sqrt{100} \\ \\ = 10 \: units[/tex]
Hope it helpsUse the distributive property to remove the parentheses.
7w3(2w5+9w)
Simplify your answer as much as possible.
Ó
Х
Х
5
?
Answer:
14[tex]w^{8}[/tex] + 63[tex]w^{4}[/tex]
Step-by-step explanation:
7w³ (2[tex]w^{5}[/tex] + 9w) ← multiply each term in the parenthesis by 7w³
= 14[tex]w^{8}[/tex] + 63[tex]w^{4}[/tex]
[ using rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] ]
Answer:
7w⁴ (2w⁴ + 9)
Step-by-step explanation:
Given
7w³ (2w⁵ + 9w)Let's simplify.
Using the distributive property, 7w³ is distributed to 2w⁵ and 9w7w³ * 2w⁵ + 7w³ * 9w14w⁸ + 63w⁴The common factor of the two terms is : 7w⁴⇒ 7w⁴ (2w⁴ + 9)What number must you add to complete the square?
x^2 + 8x = -3
A. 64
B. 8
C. 4
D. 16
Answer:
4
Step-by-step explanation:
I need help.... Could someone please help me
furthering dendritic untiring s very crushed iridium rushes Rivendell ft Zarathustra
*50 points* Pls help. Pls answer both part A and Part B. Look at the picture for question.
Answer:
Eleanor has made an error in Step 1
She clearly intended to multiply both sides by 2, but forgot to multiply the [tex]-9x[/tex] part of the RHS.
Step 1 should be: [tex]x+18=8(2x-6)-18x[/tex]
Correct solution
Given: [tex]\dfrac12(x+18)=4(2x-6)-9x[/tex]
Step 1: [tex]x+18=8(2x-6)-18x[/tex]
Step 2: [tex]x+18=16x-48-18x[/tex]
Step 3: [tex]x+18=-48-2x[/tex]
Step 4: [tex]66=-3x[/tex]
Step 5: [tex]x=-22[/tex]
before tomorrow can I have a quick answer and maybe an explanation on how to answer these kinds of questions overall? need some help asap
Answer:
a) maximum; the parabola opens downward
b) positive; it must lie above the x-axis
c) x = 1.5
Step-by-step explanation:
The x-intercepts of a function are the points where the graph of the function crosses the x-axis. The y-values there are zero.
The "differences" of a function are related to the average slope between adjacent points. Second differences are related to the rate of change of the slope of the function. When second differences are negative, as here, the slope of the quadratic function is decreasing, becoming more negative. We say the curvature of the function is negatve, and that it opens downward.
__
a, b.If the graph of the parabola opens downward, and it crosses the x-axis, it must have a maximum that is a positive value of y.
__
c.The graph of a parabola is symmetrical about its vertex. That means points on the same horizontal line are the same distance from the line of symmetry, which must go through the vertex. The x-coordinate of the vertex will be the x-coordinate of the midpoint between the two x-intercepts:
x = (-2 +5)/2 = 3/2
The x-coordinate of the vertex is x = 1.5.
______
Additional comment
The attachment shows a table with three evenly-spaced points on the curve. The calculations show first differences (d1) and second differences (d2). You can see that the sign of the second diffference is negative, in agreement with the given conditions.
What is the volume of a sphere with a radius of 8.8in
Answer:
2854.5 in^3
Step-by-step explanation:
4/3 π(8.8)^3
4/3π(681.472)
908.63π = 2854.5 in^3
Which of the following is not a kind of consumer credit?
a. installment credit
b. personal loans
A
C. service credit
d.
marginal credit
Please select the best answer from the choices provided
OA
OB
OC
OD
Mark this and return
Save and Exit
Next
Submit
Answer:
D. marginal credit is right one
Help 4 easy math questions
Step-by-step explanation:
1) x+13+90 = 180
or, x = 180 - 103
x = 77
2) x+74+90 = 180
or, x = 180 - 164
x = 16
3) x+62+45 = 180
or, x = 180 - 107
x = 73
PLEASE HELP FOR BRAINLIEST, I'M DOING A TESTTT.
Find the area of the triangle below.
Be sure to include the CORRECT UNIT in your answer.
Answer:
the answer is 60 yards for the triangle
a+b-__=a whats the blank and whats a and b
Answer:
-c is the blank and a+b is variables of real numbers.
Step-by-step explanation:
A real number is a value of a continuous quantity that can represent a distance.
However equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object.
Question 2 I need help
Thank youuu
Answer:
Pls help me with my questions
Step-by-step explanation:
Messyfull people I need your help!!!!
Step-by-step explanation:
[tex] \sin(θ) = \frac{2}{5} [/tex]
We know that
[tex] { \sin ^{2} (θ) } + \cos^{2} (θ) = 1[/tex]
Using that we get
[tex] \cos^{2} (θ) = 1 - \sin^{2}( θ) = 1 - { \frac{2}{5} }^{2} [/tex]
[tex] = 1 - \frac{4}{25} [/tex]
[tex] \frac{21}{25} [/tex]
hence
[tex] \cos(θ ) = \frac{ \sqrt{21} }{5} [/tex]
Step-by-step explanation:
please mark me as brainlest
Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundred. radius is 5 height is 5
HELP PLS HJJHHHJJHH
Answer:
See below ↓↓
Step-by-step explanation:
Important facts given [needed to solve]
Time period = 3 yearsLoan amount = $5000Interest rate = 8% (semi-annually - twice a year)Monthly payment = $156.68Solving :
Total amount to be repaid = Monthly payment x 3 years= Monthly payment x 3 x 12 months= $156.68 x 36= $5640.48 (a)Interest paid
Total amount repaid - Initial loan amount= 5640.48 - 5000= $640.48 (b)An 8-sided solid is labeled with faces 1, 2, 3, skip, 4, 5, 6, skip. What is the sample space for the number solid, and what is the probability of rolling a 1?
A.
{1,2,3,4,5,6,skip,skip}; P(1)=0.125
B.
{1,2,3,skip,4,5,6}; P(1)=0.14
C.
{1,2,3,4,5,6, skip}; P(1)=0.125
D.
{1,2,3,4,5,6}; P(1)=0.17
Using it's concepts, it is found that the sample space and the desired probability are given by:
C. {1,2,3,4,5,6,skip}; P(1)=0.125
What is the sample space of an experiment?The sample space is the set that contains all possible outcomes for an experiment.
If an outcome happens more than once, as is the case for the "skip" in this problem, it is shown only once on the sample space, hence for this problem it is given by:
{1,2,3,4,5,6, skip}
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, one out of eight outcomes result in a one, hence:
P(1) = 1/8 = 0.125.
Which means that option C is correct.
More can be learned about probabilities at https://brainly.com/question/14398287
Hello can someone please help me ??? Solve the following system of equations graphically on the set of axes ?? y=2/3x+3 ...................................................................y=- 4/3-3 both of them on graph Please. ...
keeping in mind that the solution to a system of equations is where the graphs of the equations meet or intersect, Check the picture below.
When rounded to the ten thousands place, which of the
numbers below round to 110,000? Select all that apply.
A) 113,450
B) 95,678
C) 104,298
D) 94,560
E) 106,789
Answer:
e
Step-by-step explanation:
Answer:
a, e
Step-by-step explanation:
a would round to 110,000 because 113,450 rounded to the ten thousand round down to 110,000
95,678 would round up to 100,000 not 110,000
104,298 would round down to 100,000 not 110,000
94,560 would round down to 90,000
106,789 would round up to 110,000 because 6 rounds up because 5 and up is rounded up
Which point would be a solution to the system of linear inequalities shown below?
Answer: (-4, -6)
Step-by-step explanation:
Solving by graphing
[] See attached
() The only point in the required range is point (-4, -6)
Solving by plugging-in
I will figure out what the correct option is by plug them into the first equation. Since only one of these options is true, I do not need to do the second equation.
[✗] Let's check point (4, 10)
() 10 < (1/4)4 - 4
10 < 1 - 4
10 < -3 is false, so this answer is incorrect
[✗] Let's check point (-4, 5)
() 5 < (1/4)-4 - 4
5 < -1 -4
5 < -5 is false, so this answer is incorrect
[✗] Let's check point (-4, -4)
() -4 < (1/4)-4 - 4
-4 < -1 -4
-4 < -5 is false, so this answer is incorrect
[✓] Let's check point (-4, -6)
() -6 < (1/4)-4 - 4
-6 < -1 - 4
-6 < -5 is true, so this answer is correct
Lesley has 180 y marbles in a bag. She gave 2/5 of the marbles to Danny. How many marbles does Lesley have left?
Ken drinks 730 bottles of soda a year.
How much does he drink a day.
A 12
B 4
C 2
D 5
Roberto has by saltine crackers at the store. The label on the shelf for brand A says that it’s unit cost is $3.75/lb. Brand B says that its unit cost is $0.18/oz. Which is the better by?
Answer:
Brand A
Step-by-step explanation:
IN the end buying it for $3.75/lb would end up being cheaper then buying it for $0.18/oz. Hopethis helps!
Can slope intercept form have y as the slope?
For example:
x = 7y
Answer:
yes
Step-by-step explanation:
The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept.
a
Write a rule that Linda can use to figure out how many cups of chocolate she needs for any
number of cups of cream when making Super Truffles.
Answer:
Multiply the number of cups of cream by two and a half.
Use calculus to find the volume of the following solid S:
The base of S is the parabolic region {(x,y)|x^2≤y≤1}. Cross-sections perpendicular to the y-axis are squares.
S casts a "shadow" on the x-y plane given by the set
[tex]S' = \left\{(x,y) ~:~ -1 \le x \le 1 \text{ and } x^2 \le y \le 1\right\}[/tex]
Each cross section is a square whose side length is determined by the vertical distance between y = 1 and y = x², which is |1 - x²|. But since -1 ≤ x ≤ 1, this distance simplifies to 1 - x².
The volume of an infinitesimally thin section is then (1 - x²)² ∆x (where ∆x represents its thickness), and so the volume of S is
[tex]\displaystyle \int_{-1}^1 (1-x^2)^2 \, dx = \int_{-1}^1 (1 - 2x^2 + x^4) \, dx[/tex]
The integrand is even, so this integral is equal to twice the integral over [0, 1] :
[tex]\displaystyle \int_{-1}^1 (1-x^2)^2 \, dx = 2 \int_0^1 (1 - 2x^2 + x^4) \, dx = 2 \left(1 - \frac23 + \frac15\right) = \boxed{\frac{16}{15}}[/tex]
Solve and describe the steps used to find x for the equation 4 (x+4) – 10 = 14
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
Given equation:
[tex]4(x+4)-10=14[/tex]
Add 10 to both sides:
[tex]\begin{aligned}4(x+4)-10+10 & =14+10\\ 4(x+4) & =24\end{aligned}[/tex]
Divide both sides by 4:
[tex]\begin{aligned}\dfrac{4(x+4)}{4} & =\dfrac{24}{4}\\ x+4 & =6\end{aligned}[/tex]
Subtract 4 from both sides:
[tex]\begin{aligned}x+4-4 & =6-4\\x & =2\end{aligned}[/tex]
Therefore, the solution is [tex]x=2[/tex]
Answer:
x = 2
Step-by-step explanation:
To solve the expression, we need to isolate the "x" variable. Start out by simplifying the distributive property on the left hand side.
⇒ 4(x + 4) - 10 = 14⇒ 4x + 16 - 10 = 14Simplify the left hand side as needed to determine the "x" variable.
⇒ 4x + 6 = 14Subtract 6 both sides to isolate the "x" variable and it's cooeficient.
⇒ 4x + 6 - 6 = 14 - 6⇒ 4x = 8Divide both sides by 4 to isolate the "x" variable. Our solution will be a constant on the right hand side.
⇒ 4x/4 = 8/4⇒ x = 2Thus, the value of x is 2.
how do I get help with my math work?
Answer:
post your question and someone will respond
Find the axis of symmetry and the vertex of the graph of y=3x^2+2x
Answer:
Vertex is (-1/3, -1/3) and the axis of symmetry is x = -1/3
Hope this helps :)
BRAINLIEST!! HELP! 30 POINTS!
Let theta equal 17pi/12
Part A: Determine tan θ using the sum formula. Show all necessary work in the calculation. (5 points)
Part B: Determine cos θ using the difference formula. Show all necessary work in the calculation. (5 points)
The tan θ and cos θ values of 17π/12 are illustrations of trigonometry ratios
The values of tan θ and cos θ are 2 + √3 and (√2 - √6)/4, respectively
Part A: tan θ using the sum formulaWe have:
θ = 17π/12
Express as sum
θ = 9π/12 + 8π/12
Simplify
θ = 3π/4 + 2π/3
The above becomes
tan(17π/12) = tan(3π/4 + 2π/3)
Using the sum formula, we have:
tan(A + B) = [tan(A) + tan(B)]/[1 - tan(A)tan(B)]
Substitute known values
tan(3π/4 + 2π/3) = [tan(3π/4) + tan(2π/3)]/[1 - tan(3π/4)tan(2π/3)]
Evaluate the expression
tan(3π/4 + 2π/3) = [-1 - √3]/[1 - (-1)(-√3)]
Evaluate the product
tan(3π/4 + 2π/3) = [-1 - √3]/[1 - √3]
Rationalize
[tex]tan(\frac{3\pi}4 + \frac{2\pi}3) = \frac{-1 - \sqrt3}{1 - \sqrt3} * \frac{1 + \sqrt3}{1 + \sqrt3}[/tex]
Evaluate the product
[tex]tan(\frac{3\pi}4 + \frac{2\pi}3) = \frac{-(1 + \sqrt3)^2}{1 - 3}[/tex]
This gives
[tex]tan(\frac{3\pi}4 + \frac{2\pi}3) = \frac{-(1 + 3 + 2\sqrt 3)}{-2}[/tex]
[tex]tan(\frac{3\pi}4 + \frac{2\pi}3) = \frac{-(4 + 2\sqrt 3)}{-2}[/tex]
Divide
[tex]tan(\frac{3\pi}4 + \frac{2\pi}3) = 2 + \sqrt 3[/tex]
So, we have:
tan(17π/12) = 2 + √3
Part B: cos θ using the difference formula.We have:
θ = 17π/12
Express as difference
θ = 9π/4 - 5π/6
The above becomes
cos(17π/12) = cos(9π/4 - 5π/6)
Using the difference formula, we have:
cos(A - B) = cos(A)cos(B) + sin(A)sin(B)
So, we have
cos(17π/12) = cos(9π/4)cos(5π/6) + sin(9π/4)sin(5π/6)
Evaluate
[tex]cos(\frac{17\pi}{12}) = \frac{\sqrt 2}{2} * - \frac{\sqrt 3}{2} + \frac{\sqrt 2}{2} * \frac 12[/tex]
Evaluate
[tex]cos(\frac{17\pi}{12}) = \frac{\sqrt 2}{2} (- \frac{\sqrt 3}{2} + \frac 12)[/tex]
Evaluate the difference
[tex]cos(\frac{17\pi}{12}) = \frac{\sqrt 2}{2} (\frac{1 - \sqrt 3}{2})[/tex]
Expand
cos(17π/12) = (√2 - √6)/4
Hence, the values of tan θ and cos θ are 2 + √3 and (√2 - √6)/4, respectively
Read more about trigonometry ratios at:
https://brainly.com/question/11967894