Answers
Answer:
concave down: ( negative infinity, 0)
concave up: (0, positive infinity)
minimum: x = 4
maximum: x=-6
Step-by-step explanation:
Related Questions
1.
In Triangle QRS, A is the midpoint of QR, B is the midpoint of RS, and C is the
Rubric midpoint of SQ.
Also, QA = 10, BR = 15, and SQ = 28.
What is the perimeter of triangle ABC?
Use words, number, and/or pictures to show all of your work.
Answers
The perimeter of the triangle ABC with respect to the given information is 78.
What is meant by perimeter?Whether it be a two-dimensional shape or a one-dimensional length, a perimeter is a closed path that contains, surrounds, or delineates it. A circle's or an ellipse's circumference is its furthest boundary. Numerous real-world uses exist for calculating perimeter. Adding the lengths of all the sides and edges that surround a shape yields its perimeter. It is calculated using linear length units like centimeters, meters, inches, and feet.
Given,
In triangle QRS,
A is the midpoint of QR, B is the midpoint of RS, and C is the midpoint of SQ.
And also given that QA=10, BR=15, SQ=28
Let p represent the triangle ABC's perimeter.
QR + RS +SQ = p
2(QA) + 2(BR) + SQ = p
2(10) + 2(15)+ 28 = p
20 + 30+ 28 = p
78=p
Therefore, the perimeter of triangle ABC is 78
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5. Find x, y, and z. Round to the nearest thousandth.
Answers
The unknown side and angle of the triangle is as follows:
x = 63°y = 31.19 unitsz = 15.89 unitsHow to find the side and angles of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The side of a right angle triangle can be found using trigonometric ratios.
Hence, let's find x, y and z.
The sum of angles in a triangle is 180 degrees.
Hence,
180 - 27 - 90 = x
x = 63 degrees.
sin 63° = opposite / hypotenuse
sin 63 = y / 35
cross multiply
y = 35 sin 63
y = 31.1852283466
y = 31.19 units
sin 27 = z / 35
z = 35 sin 27
z = 15.8896674909
z = 15.89 units
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Z
E
140⁰
180
D120°
40
mZAOC
60
135⁰
80
C
90°
80⁰
What is the measure for the following <?
m
40
60
80
Answers
Answer:
Question 1:
The angle m∠DOX is greater than 90 degrees, but less than 135 degrees.
Looking at the diagram we see that:
m∠DOX = 120 degrees.
Question 2:
The angle m∠COX is the sum of two angles that in total are 80 degrees.
Therefore, the equation is:
m∠COX = m∠AOX + m∠COA
Question 3:
The BOA angle measurement is given by:
BOA = 60 - 40
BOA = 20 degrees
Therefore, an angle that measures 20 degrees is:
BOA.
Question 4:
From the previous question we have:
m∠BOA = 60 - 40
m∠BOA = 20
The measure of m∠BOA is 20 degrees
Question 5:
The measure of the angle EOD is given by:
m∠EOD = 140 - 120
m∠EOD = 20 degrees
THANKS
50
4.8
(41 votes)
Step-by-step explanation:
-
1) The difference quotient for f(x)=√x at the point (16, 4) is
a) 16 + h 16
h
b) √4 + h - √16
h
c) √4 + h - 16
h
d) √16 + h - 4
h
Answers
Difference quotient for f(x) = √x at (16,4) is √16+h - 4 / h
Difference quotient is mathematical operation used to solve derivation of function by using following formula :
difference quotient = [tex]\frac{f(x+ h) - f(x) }{h}[/tex]
For the function f(x) = √x at point (16,4)
f(x +h) = [tex]\sqrt{x+h}[/tex]
putting value in formula
difference quotient = [tex]\frac{\sqrt{x+h} -\sqrt{x} }{h}[/tex]
now , putting x = 16 ,
difference quotient = √16+h - √16 / h
taking square root of 16 ,
= √16+h - 4 / h
So, the required Difference quotient for the function at (16,4) is √16+h - 4 / h
option (d) is correct
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A florist makes centerpieces.
18 roses in each centerpiece.
best way to use compatible numbers to
estimate the number of roses the florist
needs for 24 centerpieces?
A 10 x 25 = 250
B 20 x 25 = 500
D
25 X 30 = 750
30 × 30 = 900
Answers
The best compatible number to use for 24 x 18 = 432.
24 can be written as 25
18 can be written as 20.
So,
20 x 25 = 500
Option B is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The number of roses in one centerpiece = 18 roses.
The number of roses in 24 centerpieces.
= 24 x 18
= 432
The best compatible number to use for 24 x 18 = 432.
24 can be written as 25
18 can be written as 20.
So,
20 x 25 = 500
Thus,
The best compatible number to use for 24 x 18 = 432.
24 can be written as 25
18 can be written as 20.
So,
20 x 25 = 500
Option B is the correct answer.
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If 3 oranges cost $1.75,how much would 20 oranges cost?
Answers
Answer:$12
Step-by-step explanation:
1.75/3= 0.6 (1dp)
0.6 x 20 = 12
Answer:
$11.67
Step-by-step explanation:
3 oranges = 1.75
1 orange = 0.58333333333
20*0.58333333333 = 11.6666667
Write the equation of the line that passes through
the points (-6,-3) and (2, 0). Put your answer in
fully simplified point-slope form, unless it is a
vertical or horizontal line.
Answers
[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{0}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{0}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-6)}}} \implies \cfrac{0 +3}{2 +6} \implies \cfrac{ 3 }{ 8 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{ \cfrac{3 }{ 8 }}(x-\stackrel{x_1}{(-6)}) \implies {\large \begin{array}{llll} y +3 = \cfrac{3 }{ 8 } ( x +6) \end{array}}[/tex]
My answer and step by step explanation is provided as an attachment.
Equation of the line that passes through the points given (0,2) and (-2,0)
Answers
So we have y =x + c where c is the y value at the y intercept (in this case 2)
So your equation is y = x + 2
Use the ray tool to graph f(x) = |-x – 5|.
First plot the endpoint of the ray, then any point on the ray.
Answers
The graph of the given absolute function is attached below and the end points (-5,0) (0, 5) of the rays are marked in it.
Absolute value function:
The function that contains an algebraic expression within absolute value symbols is called as absolute value function.
Given,
Here we have the absolute value function f(x) = |-x - 5|
Now, we have to plot the graph for this function and we have to mark the end point of the rays.
Here the given function is written as,
=> f(x) = | -x - 5|
In order to plot the graph for the function we need the table of values to point it on the graph,
For that we have to take following sample values,
When x = -5, then f(-5) = |-5 -5| = 0
When x = 0, then f(0) = |0 - 5| = 5
Therefore, the end points of the rays are (-5,0) and (0,5)
Now, we have to plot these values on the graph.
Then we get the graph like the following.
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Copy and complete the workings below to
calculate the value of c.
c² = 9² + 40²
C² =...
c=...
Answers
Answer:
41
Step-by-step explanation:
9² + 40² = 1681
the s.r of 1681 is 41
We s.r the answer because we need the singular of C, not C²
Hope this helps
Given f(x)= x^2 +2x-8 and g(x)= x+2, find (fog)(x). Help is greatly appreciated. Thanks!
Answers
For given functions f(x)= x^2 +2x-8 and g(x)= x+2,
(fog)(x) = x^2 + 6x
For given functions f(x)= x^2 +2x-8 and g(x)= x+2,
we need to find (fog)(x).
We know that the composition of function f(x) and g(x) would be,
(fog)(x)
= f(g(x))
= f(x + 2)
= (x + 2)^2 + 2(x + 2) - 8
= x^2 + 4x + 4 + 2x + 4 - 8
= x^2 + 6x + 8 - 8
= x^2 + 6x
Therefore, for given functions f(x)= x^2 +2x-8 and g(x)= x+2,
(fog)(x) = x^2 + 6x
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In the football club, 36 footballers are Latvians, while there are 4 times less footballers of other nationalities. How many total athletes does the football club have?
Answers
Answer:
45
Step-by-step explanation:
Number of Latvian footballers(n¹) = 36
Numer of footballers of other nationalities(n²)=36/4=9
Now total number of footballers= n¹+n²= 36+9 =45
You are playing a game in which a single die is rolled. If a 2 or a 5 comes up, you win $36, otherwise you lose $30. What is your expected value for the game?
Answers
The expected value for the game is -12.
What is probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.
The probability of rolling a 2 or 5:
= P(2 or 5)
= 1/6 + 1/6 = 1/3
The probability of not rolling a 2 or 5:
= 1 - 1/3
= 2/3
The expected return:
= (1/3)(36) + (2/3)(-36)
= 12 - 24
= -12
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The Bloomington Times had 8,050 subscribers last year. This year, after the paper was bought out, it had 70% more. How many subscribers were there this year?
due tomorrow pleaseeeeeee help
Answers
Answer:
13685
Step-by-step explanation:
8050 x 0.70 = 5635
8050 + 5635 = 13685
Select the values that make the inequality -2h ≤ -40 true. Then write an equivalent inequality, in terms of h. (Numbers written in order from least to greatest going across.) The answers are
10,15,17,
19,20,21,
23,25,30.
Answers
The values that make the inequality -2h ≤ -40 true are
23,25,30Equivalent form of the inequality is written as
h ≥ 20How to find the values of the unequallyInequality is a means of representing the relationship existing between the positive and negative parts of equations, using other terms aside exactly using only "equal to"
solving the inequality
-2h ≤ -40
dividing through by a negative number changes the inequality
diving through by -2 gives
h ≥ 20
Therefore, h are values greater than 20 and 23, 25, and 30 are all greater than or equal to 20
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PEMDAS Simplify using order of operations.
7 + 3 x 5
Answers
Answer: 22
Step-by-step explanation:
3 times 5 then add 7
the third term of the sequence is 165 find the 1st term subtract 2 and multiply by 3
Answers
Answer:
Step-by-step explanation:
Formula for geometric sequence is:
[tex]a_{n} =a_{1} (r)^{n-1}[/tex]
Now we substitute the values in:
[tex]165=a_{1} (3)^{3-1}[/tex]
165=a1(-2x3)^2
165=a1x9
Answer is 23
Which of the following uses set builder notation to denote the set of all real numbers that are greater than or equal to 3 and less or equal to 9?
Answers
The given set written on set builder notation is:
{x| x ∈ R, 3 ≤ x ≤ 9}
How to write the set?We want to write the given set using set builder notation, the set is the set of all real numbers that are greater than or equal to 3 and less or equal to 9.
So the set can be written as an inequality as:
3 ≤ x ≤ 9
To define the set using the set builder notation, we also need to clarify that x belongs to the real number set, this is x ∈ R.
Then the set that we need to write is:
{x| x ∈ R, 3 ≤ x ≤ 9}
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Unit form 3 tens 8 ones x 1000
Answers
The expression 3 tens 8 ones × 1000 can be evaluated and the value is; 38,000.
What is the value of the word phrase as given?It follows from the task content that the value of the expression represented by the word phrase as given is to be determined.
On this note, it follows that we have;
First, 3 tens and 8 ones can be written as;
(3 × 10) + (8 × 1)
= 30 + 8
= 38.
Therefore, the result of the evaluation is; 38 × 1000 = 38, 000.
Ultimately, the result of the expression is; 38,000.
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During a building project, a brick is
dropped from a height of 1,936 ft. If the
equation for height as a function of time is
h(t) = -16t2 initial height where t is time
in seconds and h(t) is height in feet, how
many seconds will it take for the brick to
hit the ground?
Answers
Answer:
11 seconds
Step-by-step explanation:
[tex] - 16 {t}^{2} + 1936 = 0[/tex]
[tex] - 16 {t}^{2} = - 1936[/tex]
[tex] {t}^{2} = 121[/tex]
[tex]t = 11[/tex]
which solution for the value of x in the figure below is incorrect? explain
Answers
2. Katie is planting a garden for her science fair project. She needs of a cup of soil to go in 8 different pots. How many cups of soil does she need in total?
Answers
Answer:
She needs 8 cups of soil
one cup per pot
Step-by-step explanation:
Willis borrowed $1400 at 9% simple interest to be paid back in 2 years. How much interest will he pay?
Answers
If he borrowed $1400 at 9% simple interest to be paid back in 2 years. The interest he will pay is $1,663.34.
How to find the interest?Using this formula
Interest = Principal ( 1+ Interest rate)^ time
Where:
Interest =?
Principal = $1400
Interest rate = 9% or 0.09
Time = 2 years
Let plug in the formula
Interest = $1,400 ( 1+ 0.09) ^ 2
Interest = $1,400 ( 1.09) ^2
Interest = $1,400 ( 1.1881)
Interest = $1,663.34
Therefore he will pay the amount of $1,663.34 as interest.
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x = 15.3568 - (1+x)^25
Answers
The value of x in the algebraic equation x = 15.3568 - 1(1+x)^25 is 0.115
Mathematical OperationArithmetic operations is a branch of mathematics, that involves the study of numbers, operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication and Division.
These basic mathematical operations (+, -, ×, and ÷) we use in our everyday life. Whether we need to calculate the annual budget or distribute something equally to a number of people, for every such aspect of our life, we use arithmetic operations.
In this case, we have to solve for x in the algebraic equation using mathematical operation.
x = 15.3568 - (1 + x)^25
Collect like terms
x + (1+x)^25 = 15.3568
Solving for x
x = 0.115
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50 POINTS PLEASE HELP The graph represents a quadratic function. Write an equation of the function in standard form.
Answers
The equation of the graph is y = 2[tex]x^{2}[/tex] + 9x + 4
What is a quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x
a[tex]x^{2}[/tex]+bx +c=0
with a ≠ 0 . Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
From the graph the roots of the equation are -4 and -1/2
so if x = -4, them x + 4 = 0 is a factor,
Also, if x = -1/2, then x + 1/2 = 0 is a factor
Multiply and expand the two factors
(x + 4)(x + 1/2) = 0
[tex]x^{2}[/tex] + x/2 +4x + 2 = 0
multiply through by 2
2[tex]x^{2}[/tex] + x +8x + 4 = 0
2[tex]x^{2}[/tex] +9x +4 = 0
In conclusion, the equation of the function in standard form is 2[tex]x^{2}[/tex] +9x +4 = 0
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The height of a triangle is 8 centimeters greater than the base. The area of the triangle is 356.5 square centimeters. Find the length of the base and the height of the triangle.
Answers
Answer: base = 23 height = 31
Step-by-step explanation:
Area of triangle = (bh)/2
A = 356.5 cm2
h = b+8
356.5 = (b(b+8)) / 2
2(356.5) = b2 + 8b
0 = b2 + 8b - 713
Use quadratic equation to solve for b (there are on-line quadratic equation solvers, or you can do it manually)
b = -31 , 23
23 is the base 23 + 8 = 31 = height
The graph of a quadratic function with vertex (-3, 1)
Find the range and the domain.
Write the range and domain using Interval notation.
Answers
Answer:
Domain: (negative infinity, positive infinity)
Range: (negative infinity, 1]
Step-by-step explanation:
P(H)=
P(T)=
let me know if you know how to do this
Answers
After flipping a fair coin, when 'H' represents the heads and 'T' represents the tails the probability of heads P(H) = 1/2 and probability of tails P(T) = 1/2.
As given in the question,
After flipping a fair coin, when 'H' represents the heads and 'T' represents the tails ,
Number of total outcomes = { H , T }
Total number of outcomes = 2
Number of favourable outcomes to represent heads = 1
Number of favourable outcomes to represent tails = 1
Probability =(Number of favourable outcomes)/ (Total number of outcomes)
Probability of getting heads from the total outcomes is equal to
P(H) = 1 / 2
Probability of getting tails from the total outcomes is equal to
P(T) = 1/2
Therefore, after flipping a fair coin, when 'H' represents the heads and 'T' represents the tails the probability of heads P(H) = 1/2 and probability of tails P(T) = 1/2.
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Can someone please help me with this??
Answers
Answer:
3 * (8 + (n - 1)*x*1/3 ) = 3 * ( 0 )
..
the sum of a number with the square of its following algebraic language
Answers
Answer:
a + (a+1)²
Step-by-step explanation:
The following of the number "a" is:
a+1
Then:
The sum of a number with the square of its following algebraic language is:
a + (a+1)²
The algebraic expression for the sum of a number with the square of its following number can be written as:
x + ( x + 1)²Where x is the given number and (x + 1 )² represents the square of the following number.
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