The yield in bushels from a grove of orange trees is given by Y = x(600 − x), where x is the number of orange trees per acre. How many trees will maximize the yield?
Answer:
90000
Step-by-step explanation:
Y = x(600 - x)
Let's rearrange the equation so that we have
Y = x(-x + 600)
Y = -x² + 600
When you take a look at parabolas, we know that their maximum or minimum values are usually on the axis of symmetry. This axis of symmetry has an equation of
x = -b/2a,
In this question, the axis of symmetry is
x = -600 / -2
x = 300
This means that planting 300 trees will maximize your yield. If you substitute for x = 300 into the equation, the maximum yield will be
y = 300 (600 - 300)
y = 90000.
Answer: 300
Step-by-step explanation:
use the formula X=-b/2a
x=-600/-2
x=300
Write an equation of the line passing through point P(−2, 6) that is parallel to the line x=−5.
Answer:
x = -2
Step-by-step explanation:
The line x = - 5 means it is a straight vertical line that has no slope. This means that the slope is undefined.
Now, for this line to be parallel to the line passing through point P(−2, 6), it means the line will be a vertical line too with the equation of form (x = a).
Thus, the equation of the line is x = -2
The equation of the line is given by:
[tex]x = -2[/tex]
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change.b is the y-intercept, which is the value of x when y = 0.If two lines are parallel, they have the same slope.Line x = -5 is a horizontal line, thus, it's slope is undefined.
A line parallel will also be horizontal, with undefined slope.
It passes through point P(-2,6), thus, the equation of the line is:
[tex]x = -2[/tex]
A similar problem is given at https://brainly.com/question/16302622
Pls I need help ASAP
Answer:
the answer is 1/8
thank you
if you loved my answer then please like it and mark as brainliest
Evaluate 8 ÷ -2 · 4²+9. Thanks! Will give brainiest if possible
(-8) X 2/3 i NEED the answer help me
-5.33333333333
I used a calulator can I get brainliest please
At Sakaro's Sushi, you can get 18 wraps for $30.06 What is the price for 1 wrap?
Answer: $1.67
Let's make an equation for the problem. To find the price for each sushi roll, divide the price by the number of sushi rolls.
30.06 ÷ 18 = 1.67
The angle measures of triangle QRS are given:
The measure of angle Q is (5x−15)°.
The measure of angle R is 75°.
The measure of angle S is (3x)°.
What is the value of x?
Answer:
x = 15°
Step-by-step explanation:
(5x-15) + 75 + 3x = 180
8x + 60 = 180
8x = 120
x = 15°
I NEED HELP PLEASE AND SHOW THE WORK PLEASE
Answer:
6. x = 28 degrees
7. z = 1.6 cm
Step-by-step explanation:
6.
Notice that you can use the property that tells us that the addition of all internal angles of a triangle must give 180 degrees, then you write the following equation:
50 + 69 + (2 x +5) = 180
combine like terms:
119 + 2 x + 5 = 180
124 + 2 x = 180
subtract 124 from both sides:
2 x = 56
divide by 2 both sides:
x = 56 / 2
x = 28 degrees
Problem 7.
If the two triangles are congruent, then the side MN must equal side RS.
Since MN measure 1,8 cm, then RS must also measure 1.8 cm
and we can write the equation:
1.8 = 3 z - 3
adding 3 to both sides:
1.8 + 3 = 3 z
4.8 = 3 z
dividing both sides by 3:
z = 4.8 / 3
z = 1.6 cm
subtract 8 from the input to get the output
divided the input by 3 to get the output
Answer: that will be 5
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Quadrilateral GHJK has vertices G(2, 3), H(8, 2), J(6, 8), and K(3, 6). It is transformed according to the rule T(–4, –5).
What are the coordinates of G”?
(–7, 3)
(–2, 2)
(–1, –7)
(2, –2)
Answer:
the transformation T(a, b) can be change the pre image to the final image by following the rule as we explain below
if A(x, y) is a pre image, then A ' ( x', y') is its image, and x' = a+x, y' = b + y, where because of T(a, b) transformation
in our case Quadrilateral GHJK has vertices G(2, 3), so the coordinates of G”
can be found with
T(-4, -5) applied to G(2, 3) ⇒ G' (-4 +2, -5+3)=G' (-2, -2)
T(-4, -5) applied to G' (-2, -2) ⇒ G"(-4-2, -5-2) =G"(-6, -7)
the coordinates of G” are (-6, -7)
Step-by-step explanation:
i hope it helps?Answer:
its c on edg (-1, -7)
Step-by-step explanation:
ayer 100% A company sells cases of tomato juice. Each case contains 24 cans of juice and sells for $18. The equation y = 18x represents the total price ( y), in dollars, when x number of cases are sold. Choose all statements about the situation that are correct based on the information. A. The cost per can is dependent on the number of cases sold. B. The number of cans sold is dependent on the price per can. C. The total price for a sale is dependent on the number of cases sold. D. The number of cases sold is independent from the number of cans in each case.
Answer:
c
Step-by-step explanation:
Answer:
C is the answer
f(x) = x + 7, g(x) = x - 7
(a) (f + g)(x) =
(b) (f-g)(x)=
(c) (fg)(x)=
(d) (f/g)(x)=
a) 2x
b) 14
c) x^2 -49
d) -1
2x+3y=10 8x+Ay=B
What Is the vaule of B
BI
Challenge 2
A: Can you find the
area of the circle?
r=x +1
B: Can you find the
circumference of
the circle?
Answer:
Area of the circle = pi * r^2 = pi * (x+1) ^ 2
Circumference of the circle = 2* pi * r = 2*pi*(x+1)
The toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. Here are data for beak heat loss, as a percent of total body heat loss, at various temperatures in degrees Celsius:
Temperature (degrees Celsius) 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
Percent heat loss from beak 35 36 38 28 41 43 55 46 39 54 45 58 60 56 62 67
a. The equation of the least-squares regression line for predicting beak heat loss, as a percent of total body heat loss from all sources, from temperature is: _____ (Use decimal notation. Give your answer to four decimal places.)
b. Use the equation to predict (
±
0.01) beak heat loss, as a percent of total body heat loss from all sources, at a temperature of 25 degrees Celsius.
c. What percent (
±
0.01) of the variation in beak heat loss is explained by the straight-line relationship with temperature?
d. Find the correlation r (
±
0.001) between beak heat loss and temperature.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Temperature (degrees Celsius) : 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
Percent heat loss from beak : 35 36 38 28 41 43 55 46 39 54 45 58 60 56 62 67
Using an online regression calculator ; the regression equation obtained is :
ŷ = 2.0927X + 0.6029
X = independent variable
Y = predicted variable
2.0927 = slope
0.6029 = intercept
B.) temperature = 25
ŷ = 2.0927(25) + 0.6029
= 52.9204
C.) the explained variance is the value of the coefficient of determination (R²) which is the square of the correlation Coefficient
0.8785² = 0.7718
D.) the correlation Coefficient r is 0.8785 using the Coefficient of regression calculator
11. Factor for
12 – 8.1 + 16
Answer:
2(6-4.05+8)
Step-by-step explanation:
2(6-48+43.05+8)
2/15 = h/125 need a step by step please
====================================
Work Shown:
2/15 = h/125
2*125 = 15*h .... cross multiply
250 = 15h
15h = 250
h = 250/15
h = (5*50)/(5*3)
h = 50/3
-----------------
Extra info:
50/3 = (48+2)/3
50/3 = (48/3)+(2/3)
50/3 = 16 + (2/3)
50/3 = 16 & 2/3
The improper fraction 50/3 converts to the mixed number 16 & 2/3
Another way to see this is to use long division to get 50/3 = 16 remainder 2.
To win a trivia game you must score 90 points each correct answer is worth 1 3/4 points, each incorrect point is worth -1/4 points if he gets 58 questions correct and 22 questions incorrect, what is his score?
Simplest form of 8/36
Answer:
8.36 I think
Step-by-step explanation:
Answer: 2/9
Steps: 8/36 simplified is 2/9.
Plz mark brainliest:)
x+12x-13 = 0 and azo, what
is the value x+lo?
Megan had $235.17 in her bank account. She withdrew $77.98 from the account to spend
on clothing. How much money does she have left in her bank account now?
Answer: 157.19
Step-by-step explanation:
бx + 8 = 50
I need that answer
Answer:
=
7
Step-by-step explanation:
Show that each conjecture is false by finding a counterexample.
1.For any integer n, n3 > 0.
2. Each angle in a right triangle has a different measure.
3.For many years in the U.S, each bank printed its own currency. The variety of different bills led to widespread counterfeiting. By the time of the Civil War, a significant fraction of the currency in circulation was counterfeit. If one soldier had 48 bills, 16 of which were counterfeit, and another soldier had 39 bills, 13 of which were counterfeit, make a conjecture about what fraction of bills were counterfeit at the time of the Civil War.
Answer:
1. [tex]n: n^3 > 0[/tex] is not true for negative integers
2. [tex]45\ and\ 45[/tex] show that all angles do not have different measure
3. [tex]Fraction = \frac{1}{3}[/tex]
Step-by-step explanation:
Solving (1):
[tex]n: n^3 > 0[/tex]
Take
[tex]n = -1[/tex]
[tex]-1^3 = -1[/tex]
[tex]n: n^3 > 0[/tex] is not true for negative integers
Solving (2):
The angles of a right angled triangle are:
[tex]45, 45\ and\ 90[/tex]
[tex]45\ and\ 45[/tex] show that all angles do not have different measure
Solving (3):
When
[tex]Bills = 48[/tex]
[tex]Counterfeit = 16[/tex]
The fraction is calculated as thus:
[tex]Fraction = \frac{Counterfeit}{Bills}[/tex]
[tex]Fraction = \frac{16}{48}[/tex]
[tex]Fraction = \frac{1}{3}[/tex]
Similarly, when
[tex]Bills = 39[/tex]
[tex]Counterfeit = 13[/tex]
[tex]Fraction = \frac{Counterfeit}{Bills}[/tex]
[tex]Fraction = \frac{13}{39}[/tex]
[tex]Fraction = \frac{1}{3}[/tex]
ax+6=15 a is a negative, what must be true about x?
Answer:
x= 9/a
Step-by-step explanation:
Need help ASAP with my math
Answer: The answer is -2
Step-by-step explanation: I want points and trust me this answer is correct
What’s the difference between m=change in y and change in x and m =y2-y1and x2-x1
it's the same thing
[tex]slope = \frac{Δy}{Δx} or \frac{change \: in \: y}{change \: in \: x} = \frac{y2 - y1}{x2 - x1} = \frac{rise}{run} [/tex]
HELP URGENT !!!!!!!!!!!
Can someone please help me I need help and I can’t understand this plsssss
step 1. Multiply the variable x with 13 .
step 2. Add 2 to it .
Solution (b) :Step 1 : Subtract 2 from both sides : 13x + 2 - 2 = 41 - 2 = 39
Step 2 : Divide both the sides by 13 : 13x ÷ 13 = 39 ÷ 13 = 3
x = 3
Solution (2) :Solution (a) :Step 1. Subtract 3 from the variable .
Step 2. Divide the result by 5 .
Solution (b) :[tex]Step \: 1. \: add\: 3 \: to \: both \: the \: sides : \frac{x - 3}{5} + 3 = - 1 + 3
[/tex]
Step 2 : Multiply both the sides by 5 : 5 × 1/5x = 5 × -2/5
x = -2
There are two squares.
The larger square has an area of 1,089 square feet and the smaller square has an area of 121 square inches.
What is the scale factor between the two squares?
(A) 3
B
6
12
D 36
Answer:
It is 3
Step-by-step explanation:
Answer:
It is 3
Step-by-step explanation:
9. Determine whether KM and ST are parallel, perpendicular, or neither. K(-1, -8), M(1,6), S(-2,-6), T(2, 10) A Parallel B Perpendicular C Neither Hint(use slope formula)