Answer:
x=2 and y=11
Step-by-step explanation:
Okay so subtitution method
y=5x+1
2y-6x=10
Plug in the y
2(5x+1
)-6x=10
10x+2-6x=10
4x+2=10
4x=8
x=2
now plug in for y
lets use first equation
y=5(2)+1
y=10+1
y=11
Brainliest please.
(\tan ^(2)\theta \cos ^(2)\theta -1)/(1+\cos (2\theta ))=
(tan²(θ) cos²(θ) - 1) / (1 + cos(2θ))
Recall that
tan(θ) = sin(θ) / cos(θ)
so cos²(θ) cancels with the cos²(θ) in the tan²(θ) term:
(sin²(θ) - 1) / (1 + cos(2θ))
Recall the double angle identity for cosine,
cos(2θ) = 2 cos²(θ) - 1
so the 1 in the denominator also vanishes:
(sin²(θ) - 1) / (2 cos²(θ))
Recall the Pythagorean identity,
cos²(θ) + sin²(θ) = 1
which means
sin²(θ) - 1 = -cos²(θ):
-cos²(θ) / (2 cos²(θ))
Cancel the cos²(θ) terms to end up with
(tan²(θ) cos²(θ) - 1) / (1 + cos(2θ)) = -1/2
Convert from 1257, a BASE-10 NUMBER
to a BASE-7 NUMBER
Answer:
1267-7
Step-by-step explanation:
1257-10-7
1247-7
1240
For a certain company, the cost for producing x items is 55x+300 and the revenue for selling x items is 95x−0.5x2 .
Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all of the items that it produces.
Part b: Find two values of x that will create a profit of $300 .
Part c: Is it possible for the company to make a profit of $15,000
a.) The equation for profit is - 0.5x² + 40x - 300
b.) The two values of x for profit = $300 are 20 and 60
c.) Profit of $15000 is not possible.
What is a profit?
Profit is defined as the total extent of benefit gained from selling some things. Mathematically, it is illustrated as the difference between the selling price and the cost price of an object.
Calculating the expression for profit
Given: the cost of producing x items = 55x + 300 and the revenue for selling x items is 95x - 0.5x²
a.) Profit = selling price/revenue - cost price
According to the question, we get,
Profit = 95x - 0.5x² - 55x - 300
= 40x - 0.5x² - 300
= - 0.5x² + 40x - 300 —–— 1
b.) Finding two values of x, when profit is $300
Using equation 1, we get,
300 = - 0.5x² + 40x - 300
0.5x² - 40x + 600 = 0
0.5x² - 10x - 30x + 600 = 0
0.5x(x - 20) - 30(x - 20) = 0
(x - 20)(0.5x - 30) = 0
i.e. x = 20 or x = 60
Two values of x for profit = $300
c.) Let us consider the profit to be $15000
15000 = - 0.5x² + 40x - 300
0.5x² - 40x + 15300 = 0
Using the quadratic formula, x = (- b ± √b² - 4ac) / 2a, we get,
x = (40 ± √40² - 4(0.5)(15300)) / 2(0.5)
The roots of this equation will be imaginary. Thus, it can be said that profit can not be $15000.
Hence, a.) The equation for profit is - 0.5x² + 40x - 300
b.) The two values of x for profit = $300 are 20 and 60
c.) Profit of $15000 is not possible.
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Be ready to discuss your answer.
Makayla got 12 out of 15 questions correct on her test. Jaden got 27 out of 35 questions correct on his test. Convert each score to a percent and determine who had the highest percentage. To run to the nearest whole number. (show all work)
Answer:
Makayla got the highest
Step-by-step explanation:
if you do 100÷15=answer×12=80%
if you do 100÷35=answer×27=77%
You play a game where you score -6 points on the first turn and on each of the next three terms. What is your score after those 4 turns
Answer:
-24
Step-by-step explanation:
Answer:
-24
Step-by-step explanation:
what fraction is equivalent to 1.5/9
Answer:
1.5/9 = 1 1/2 / 9 = 3/2 /9 = 3/18 = 1/6
Step-by-step explanation:
The fraction that is equivalent to 1.5 / 9 is expressed as:
3/18.
How to Find the Equivalent Fraction?Equivalent fractions are different fractions that represent the same value or proportion, although they may have different numerators and denominators.
To find an equivalent fraction for 1.5/9, divide both the numerator and denominator by their greatest common divisor (GCD), which in this case is 0.5.
Dividing 1.5 by 0.5 and 9 by 0.5, we will have the following:
(1.5 ÷ 0.5) / (9 ÷ 0.5) = 3/18
Hence, the equivalent fraction for 1.5/9 is 3/18.
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5 over nine converted into decimal
Answer: See attached
Step-by-step explanation:
5/9 will give a repeating decimal 0.55555. You would write it as 0.5 with a "bar" line over the 5. See attached file of how it looks
12x + 14 + 3x - 5
I need help
Answer:
15x + 9
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
12x + 14 + 3x - 5
Step 2: Simplify
Combine like terms (x): 15x + 14 - 5Combine like terms (Z): 15x + 9Which of the following would be a good name for the function that takes the length of a race and returns the time needed to complete it?
A. Time(race)
B. Time(length)
C. Length(time)
D. Cost(time)
Answer:
B. Time(length)
Step-by-step explanation:
The function that would be represented as a good name for a function for the length of the race and the return the time required to finished it
here the independent variable or the INPUT is the length while the output would be the time that required to finish it
Hence, the correct option is B,
Therefore all the other options would be incorrect
Which equation represents a proportional relationship?
Answer:
y = 3x
Step-by-step explanation:
A proportional relationship should be represented by an equation in this format:
y = kx
The graph represents the fees in thousands of dollars,
y, depending on the amount invested in millions, x,
with one financial investment firm.
Over what interval is the change constant?
[0,5)
(1,5)
[0, 20)
[1, 20)
Which area on the map is home to the most petroleum fields in Europe?
A) A
B) B
C) C
D) D
Answer: I think the answer is D
Step-by-step explanation:
A 33 33 -ft ladder leans against a building so that the angle between the ground and the ladder is .
Question:
A 33 foot ladder leans against a building so that the angle between the ground and the ladder is 75º. How high does the ladder reach up the side of the building?
Round to 2 decimal places feet.
Answer:
[tex]H = 31.88[/tex]
Step-by-step explanation:
The question is illustrated using the attachment as a sketch.
We have that
[tex]Ladder = 33ft[/tex]
[tex]\theta = 75[/tex]
Required
Determine how high the ladder is to the building
Represent the length of the ladder with L and how high the ladder is on the building with H.
The relationship between L, H and [tex]\theta[/tex] is"
[tex]Sin\theta = \frac{H}{L}[/tex]
Substitute values for L and [tex]\theta\\[/tex]
[tex]Sin(75) = \frac{H}{33}[/tex]
Make H the subject
[tex]H = 33 * Sin(75)[/tex]
[tex]H = 33 * 0.9660[/tex]
[tex]H = 31.88[/tex]
Hence, the height to which the ladder reaches is approximately 31.88ft
question one pls
algebra 2
logarithms
Condense the logarithm on the right side:
[tex]3\log_b(p)-\left(2\log_b(t)+\dfrac12\log_b(r)\right)[/tex]
[tex]n\log_b(m)=\log_b(m^n) \implies \log_b(p^3)-\left(\log_b(t^2)+\log_b\left(r^{\frac12}\right)\right)[/tex]
[tex]\log_b(m)+\log(n)=\log_b(mn) \implies \log_b(p^3)-\log_b\left(t^2r^{\frac12}\right)[/tex]
[tex]\log_b(m)-\log(n)=\log_b\left(\dfrac mn\right) \implies \log_b\left(\dfrac{p^3}{t^2r^{\frac12}}\right)[/tex]
So,
[tex]x=\dfrac{p^3}{t^2r^{\frac12}}[/tex]
and [tex]r^{\frac12}=\sqrt{r}[/tex], which makes (4) the correct choice.
Evaluate the following expression. 7 1/4 x 2^2 +(8 1/2 -2) ÷ 3
Answer:
31.1666666667
Step-by-step explanation:
Caculator
(NEED HELP ASAPP!!)
Martin has a $250 gift card to a bookstore. He used the card to spend $56.73 on books. How much is left on the gift card?
$194.27
$306.73
$193.27
$194.73
Answer:
193.27
Step-by-step explanation:
Answer:
$193.27 left on his gift card
(8x² + 3x) - 4x² + x-4
Answer:
4x^2+4x-4
Step-by-step explanation:
8x^2 + 3x - 4x^2 + x - 4
= 8x^2 - 4x^2 + 3x + x - 4
= 4x^2 + 4x - 4
Which of the following statements is true?
a.
sin 30° = cos 30°
b.
sin 35° = cos 55°
c.
sin 60° = cos 60°
d.
sin 55° = cos 25°
Option ' B ' [ sin 35° = cos 55° ] is true!
- Used a calculator ! The value is shown in the calculator in the attached picture!
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Ray was in charge of filling the soccer team’s water jug for practice. At the beginning of practice he filled the jug. Halfway through practice the team took a water break. After the break Ray refilled the jug so the players could have water after practice. At the end of practice Ray drained the jug. Which graph could represent the level of the water in the jug during and after practice?
Answer:
D
Step-by-step explanation:
I took the exam
Based on the times that Ray filled the water jug and the times it was drained, the best graph to show the water level is Graph 4.
What does Graph 4 show?In the 4th graph, the water level increases at the beginning to a stable level. It doesn't change till halfway through the graph which is most likely when the team took a water break.
The water level then rises to a similar level which shows Ray refilling the water jug. At the end of the practice, Ray empties the jug which is why the water level then goes the zero.
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the number of digits in the square root of 436149 is
Answer:The square root of 436149 is 660.41577812769
Find the distance between (3,8) and (7,-11) round to the nearest hundredth
Answer:
[tex]d \approx 19.42[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, 8)
Point (7, -11)
Step 2: Find distance d
Substitute: [tex]d = \sqrt{(7-3)^2+(-11-8)^2}[/tex]Subtract: [tex]d = \sqrt{(4)^2+(-19)^2}[/tex]Exponents: [tex]d = \sqrt{16+361}[/tex]Add: [tex]d = \sqrt{377}[/tex]Evaluate: [tex]d = 19.4165[/tex]Round: [tex]d \approx 19.42[/tex]5. Joey has $125 to spend on school clothes this year. He only spent $80.00 on school
clothes. What percent of his $125.00 did Joey spend? (Hint: Divide amount spent by
total budget)
It dosen't have options I wrote exactly what it says on my work.
I need it right now!!!!!! Please!!!!
Answer:
64%
Step-by-step explanation:
divide 80 by 125 and get .64
Answer:
64
I already did this in school
help asap >3
Multiplicative inverses (reciprocals) are two number whose product is 1. Which pair of numbers are multiplicative inverses?
Answer choices-
0 and 1
0.25 and 4
1/2 and 1/2
3 and -3
Answer:
HERE FOR POINTS SORRY
Step-by-step explanation:
A polynomial function of the root of -6 wth multipcily 1, a root of -2 with multiplicity 3, a root of 0 wth multiplicity 2, and a root of 4 wth multiplicity 3. If the function has a positive coefficient and is of odd degree, Which statement about the graph is true?
Dejah is proving that perpendicular lines have slopes that are opposite reciprocals. She draws line s and labels two points on the line as (−a, 0) and (0, b).
Enter the answers, in simplest form, in the boxes to complete the proof.
Answer:
math is hard :(
Step-by-step explanation:
The volume of a pyramid is 650. Calculate the dimensions of the base of the square if the pyramid has a height of 15.
Answer:130
Step-by-step explanation:
2 groups of 3 tenths pls answer today I need this answer
Answer:
6/10
Step-by-step explanation:
2 groups of 3/10 =
2 × 3/10 =
6/10
slope intercept equation of a line with a slope of -2/5 that passes through the point (15,-9/2
Answer:
im not sure if this is right but -0.358
Step-by-step explanation:
do y2-y1 over x2-x1 then subtract your y values then subtract your x values then you get your numbers then divide those numbers from top divided by bottom.
Sarah goes to her local pizza parlor and orders a two-topping pizza. She can choose either a large or a medium pizza, has a choice of seven different toppings, and can have three different choices of crust. How many different pizzas could Sarah order?
84
252
42
126
None of the above.
The total number of different pizzas that Sarah can order is 42. The correct option is C.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given the following choices for selecting a pizza. Therefore, we can write,
Number of choices for size = 2
Number of choices for toppings = 7
Number of choices for crust = 3
Total number of choices available with Sarah = Number of choices for size × Number of choices for toppings × Number of choices for crust
Total number of choices available with Sarah = 2 × 7 × 3 = 42
Hence, the total number of different pizzas that Sarah can order is 42.
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In simplest radical form, what are the solutions to the quadratic equation 0 =3x4x + 5?
Quadratic formula: x= btyb- 4ac
Given:
The quadratic equation is
[tex]0=-3x^2-4x+5[/tex]
To find:
The simplest radical form of the solution.
Solution:
Quadratic formula:
If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have,
[tex]0=-3x^2-4x+5[/tex]
Here, a=-3, b=-4 and c=5. Putting these values in the quadratic formula, we get
[tex]x=\dfrac{-(-4)\pm \sqrt{(-4)^2-4(-3)(5)}}{2(-3)}[/tex]
[tex]x=\dfrac{4\pm \sqrt{16+60}}{-6}[/tex]
[tex]x=\dfrac{4\pm \sqrt{76}}{-6}[/tex]
[tex]x=\dfrac{4\pm 2\sqrt{19}}{-6}[/tex]
Taking 2 common, we get
[tex]x=\dfrac{2(2\pm \sqrt{19})}{-6}[/tex]
[tex]x=\dfrac{(2\pm \sqrt{19})}{-3}[/tex]
[tex]x=-\dfrac{(2\pm \sqrt{19})}{3}[/tex]
Therefore, the correct option is A.