Answers:
y = -25
y = 7
Step-by-step explanation:
Find the derivative of the function.
[tex]\frac{dy}{dx} y = 3x^2-6x-9[/tex]
The zeros of the derivative are the local extrema (Maximum & Minimum)
[tex]0 = 3x^2-6x-9[/tex]
Take out the greatest common factor, 3, to get this equation:
[tex]0 = 3(x^2-2x-3)[/tex]
Factor out the brackets.
[tex]0 = 3(x - 3) ( x + 1 )[/tex]
You are left with two possible values for x:
x = 3
x = -1
By substituting each value into the original function [tex]y = x^3 - 3x^2 - 9x + 2[/tex], you get the equation of any horizontal tangents to the curve.
When x = 3:
[tex]y = (3)^3 - 3(3)^2 - 9(3) + 2 = -25[/tex] Meaning y = -25
When x = -1:
[tex]y = (-1)^3 - 3(-1)^2 - 9(-1) + 2 = 7[/tex] Meaning y = 7
57. Designing a Patio Suppose that you wish to build a
rectangular cement patio that is to have a perimeter
of 80 feet. The length is to be 5 feet more than the
width.
(a) Find the dimensions of the patio.
(b) If the building code requires that the cement be
4 inches deep, how much cement do you have to
purchase?
Answer:
A. dimensions
Step-by-step explanation:
it's the first thing you will need to find out I beleave.
If an orthocenter lies inside of a triangle, then the triangle must be O isosceles. O acute. obtuse. o right
If an orthocenter lies inside of a triangle, then the triangle must be acute.
Orthocenter of a triangle is the intersection of any two of three altitudes of a triangle. The third altitude usually pass through the point of the first two altitudes.
When the orthocenter lies inside a triangle, the angles formed by the intersection of the three altitudes is less than 90 degrees.An acute triangle is a type of triangle whose angles are less than 90 degrees.Thus, If an orthocenter lies inside of a triangle, then the triangle must be acute.
Learn more about orthocenter here: https://brainly.com/question/6944944
Answer:D ( acute)
Step-by-step explanation:
edg
b) Solve x + 5x – 14 = 0
Answer:
2 1/3
Step-by-step explanation:
Step 1:
x + 5x - 14 = 0 Equation
Step 2:
6x - 14 = 0 Combine Like Terms
Step 3:
6x = 14 Add 14 on both sides
Step 4:
x = 14 ÷ 6 Divide
Answer:
x = 2 1/3
Hope This Helps :)
There is 3 questions help asap
Simplify the problem 4{28-[10+(3+1)×2]}
Answer:
= 40
Step-by-step explanation:
Calculate within the parentheses:
28 - [10 + (3 + 1) * 2]
= 10
Calculate within the parentheses:
[10 + (3 + 1) * 2]
= 18
Subtract (Left to right):
= 28 - 18
Simplify:
= 4 * 10
Simpliy:
= 40
find the square root of 625
Step-by-step explanation:
square root of 625 is 25
In a study of the effect of aluminum intake on the mental development of infants, a group of 54infants who had been born prematurely were given a special aluminum depleted intravenous-feeding solution. At an adjusted age of 18 months,the neurologic development of the infants were measured using the Bayley Mental Development Index (BMDI), a unitless scale with higher scores indicating higher development. They had a sample mean BMDI of 97.4 and a sample standard deviation of 18.0.The (BMDI) is similar to an IQ score, with 100 being the average in the general population.
Assuming all relevant assumptions are met, carry out the appropriate testto determine if infants who receivedthealuminum depleted intravenous-feeding solution had a significantly differentaverage BMDI score thaninthe general population. Be sure to include all the stepsfor full credit.
Given:critical value= = 2.00
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
The no sufficient evidence to conclude that the average BMDI score is different from the general population
Step-by-step explanation:
From the question we are told that
The sample size is n = 54
The sample mean is [tex]\= x = 97.4[/tex]
The standard deviation is [tex]s = 18.0[/tex]
The population mean is [tex]\mu = 100[/tex]
The critical value is [tex]t_{critical } = 2.0[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x - \mu}{\frac{s}{\sqrt{n} } }[/tex]
=> [tex]t = \frac{ 97.4 - 100}{\frac{ 18}{\sqrt{54} } }[/tex]
=> [tex]t =-1.062[/tex]
Comparing the obtained t statistics with the critical value we see that
The critical value is not within the region of rejection (i.e -1.062 to 1.062 )
Hence the decision rule is
Fail to reject the null hypothesis
The conclusion is
The no sufficient evidence to conclude that the average BMDI score is different from the general population
A number plus it’s opposite is ___ zero. always,sometimes,never
Answer:
always
Step-by-step explanation:
Bro someone please help- i hate math -_-
Answer:
I can't see the image can you re upload
Step-by-step explanation:
Answer:Well I think the answer is 1/2 for the top because with mixed fractions the denominator has to be bigger then the numerator....And the bottom one is 2 because you put the bottom number on top. Hope it's right and it helps.
Step-by-step explanation:
Write an equation of the line passing through the point (8,-5) that is parallel to the line 2x – 6y=-3.
y = mx + b
Answer:
y=[tex]\frac{1}{3}\\[/tex]x - [tex]\frac{23}{3}[/tex]
Step-by-step explanation:
Ist put the first equation in y=mx+b form
2x-6y=-3
subtract 2x on both sides
2x-6y=-3
-2x =-2x
-6y=-2x-3
then divide both sides by -6
-6y=-2x-3
-6
that gives y=[tex]\frac{1}{3}[/tex]x+[tex]\frac{1}{2}[/tex] for the original equation
Then plug in the point and slope in y=mx+b
Use the same slope since the lines are parallel
(-5)=([tex]\frac{1}{3}[/tex])(8)+b
-5=[tex]\frac{8}{3}[/tex]+b
then subtract 8/3 on both sides and that gives
-23/3 = b
then you can make the new equation using -23/3 for you b and 1/3 for your slop m
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:
What is this variable? 3/4a — 6 = 4+3a
Noah is finding 3/4 of 8 find his mistake and correct it
you need to show his steps or else i cant find his mistake
3cm
3cm
8cm
13cm
in the diagram above, the curved part is a Semi-
Circle. Find the area of the shaded portion
and correct your answer to 3 significant
figure.
Answer:
can u attach the diagram
Step-by-step explanation:
The ratio of boys to girls in homeroom is 2:3. If there are 8 boys, how many girls are there? Do not include units.
Answer:
12 girls
Step-by-step explanation:
boys girls
2:3
8 ÷ 2 = 4
4 × 3 = 12
If you find my answer helpful
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Zenzizenzicube is an obsolete word that represents the square of the square of a cube. In symbols, zenzizenzicube is written as
(((x^3)^2))^2
Required:
a. Use the chain rule twice to find the derivative.
b. Use the properties of exponents to first simplify the expression, and then find the derivative.
Answer:
Step-by-step explanation:
Given the expression (((x^3)^2))^2
a) Differentiating the function with respect to x using chain rule.
Given y = (((x^3)^2))^2
Let u = (x³)²
y = u²; dy/du = 2u
Let p = x³; dp/dx = 3x²
u = p²; du/dp = 2p
Applying the chain rule formula:
dy/dx = dy/du • du/dp • dp/dx
substitute in the formula
dy/dx = 2u•2p•3x²
Since u = (x³)² and p = x³
dy/dx = 2(x³)²(2x³)(3x²)
dy/dx = 12x^6•x^5
dy/dx = 12x¹¹
b) Using property of exponent
y = (((x^3)^2))^2
y = (x^6)²
y = x¹²
dy/dx = 12x^12-1
dy/dx = 12x^11
Consider the function f(x) = 3.x2 + 7x + 2.
what is the value of the discriminat?
Answer:
The Discriminant is 25
Step-by-step explanation:
For this case, the discriminant will be given by
b ^ 2 - 4 * a * c
Where
b = 7
a = 3
c = 2
substituting
b ^ 2 - 4 * a * c = (7) ^ 2 - 4 * (3) * (2) = 25
Therefore the value of the discriminant is 25.
How many x-intercepts does this function have?
It has two intercepts with the x axis and can be found by equaling the function to zero. That is to say,
3x2 + 7x + 2 = 0
The results will be the interceptions with x.
What are the number of zeros for this function?
The number of zeros for this function is
two real number solutions
Because it is a quadratic function.
Marco has joined a bowling league, and is trying to raise his average to 140. On his last four games he scored 133, 130, 131, and 136. How much will he need to score on the next game to raise his mean to 140?
determine the range of the following graph:
Answer:
(-15)
Step-by-step explanation:
(-7) - 8 = (-15) (Range is the difference between Max and Min Value)
please follow me and mark as brainliest
Which graph represent proportional relationship?
Answer:
C
Step-by-step explanation:
Non proportional graphs are non-linear and don’t go (necessarily) through 0,0
Proportional graphs are linear and always (eventually) cross through with 0,0
Salena needs to purchase 9 skirts for a new job. her friend, Jamie goes with her each of the skirts costs $41. Salena says that she can find the total cost by multiplying 9 and 4 and adding that to product of 9 and 1. Jamie disagrees and says that she needs to find the product of 9 and 40 and add that to the product of 9 and 1. Who is correct and why?
Answer:
Jamie is correct. This is because 41 is a combination of 40 and 1. Salena thinks that the 4 is just a 4, however, the 4 is in the tens place, so the 41 without the 1 is 40. The answer to this 41 times 9 is 369. Not 45.
Step-by-step explanation:
Each skirt is $41
Salena needs 9
(9*40) + (9*1)
360 + 9
$369
Matt and his dad are building a tree house. They buy enough flooring material to cover an area of 36 square feet. What are all possible dimensions of the floor?
Answer:
a square
Step-by-step explanation:
because the width would be 6 and the length would be also 6 .6x6 is 36
Determine the intercepts of the graph please be sure
Answer:
X= (_7, 0)
Y= (0, 2
Step-by-step explanation:
We meet again
John and 3 friends are going out for pizza for lunch. They split one pizza and 4 large drinks. The pizza cost $13.50. They spend a total of $19.90. Find the cost of one large drink.
!!!!Please help!!!!Choose the answer that best represents the situation described below
Casey is taking pictures outdoors. She knows that the darker it is outside, the
stronger she needs to set her flash,
A. The amount of light outside is a function of the strength of flash
she needs
B. The strength of flash needed is a functlyn of the shutter speed of
her camera
C. The strength of flash needed is a function of the amount of light
outside,
SUBMIT
1. Emma’s average in math increased from an 80 to an 84. By what percentage did her average increase?
Answer:
82
Step-by-step explanation:
Unit rate
Find each unit rate.
1. $140 for 18 ft2
Answer:
$17.50
Step-by-step explanation:
140 divided by 18 equals 17.50, the unit rate is dollars per foot.
Answer:
$7.78 : 1 ft²
Step-by-step explanation:
140 : 18
÷18 ÷18
7 7/9 : 1
or
$7.78 : 1 ft²
which of the rolling values are solutions to the inequality , ILL MARK BRAINLIST !!!
Answer:
II and III
Step-by-step explanation:
I...
-9 - 5x > -1
-9 - 5(2) > -1
-9 - 10 > -1
-19 > -1
FALSE
II...
-9 - 5x > -1
-9 - 5(-5) > -1
-9 + 25 > -1
16 > -1
TRUE
III...
-9 - 5x > -1
-9 - 5(-10) > -1
-9 + 50 > -1
41 > -1
TRUE
Best of Luck!
Answer:
II. and III.
Step-by-step explanation:
-9 - 5x > -1
I. 2
-9 - 5(2) > -1
-9 - (10) > -1
-19 > -1
- 19 is not more than -1, thus I. is not an option
II. -5
-9 - 5(-5) > -1
-9 + 25 > -1
16 > -1
16 is more than -1, thus II. is an option
III. -10
-9 - 5(-10) > -1
-9 + 50 > -1
41 > -1
41 is more than -1, thus III. is an option
The expression 7(y-5)is equivalent to
A deep sea diver descended from a rock that is 45 feet below