Answer:
Steps are detailed below.
Step-by-step explanation:
The steps to determine the absolute maximum and minimum values of a continuous function on a closed interval are;
For example, if we have a function f(x) = x³ - 3x + 2 on the interval (-3, 4)
The steps are;
Step 1:
We will find the first derivative of f(x) which is; f'(x) = 3x² - 3.
Then we will find the critical values of this derivative. The critical values are the values of x that makes f'(x) = 0. But these critical values must fall in between the given interval (-3, 4)
Step 2:
Plug in the critical values gotten in step 1 above into the original f(x) function and note down the answers.
Step 3;
Plug in the endpoint values on the interval (-3, 4) given in the question into the original f(x) function and note down the answers.
Step 4;
The highest and lowest values of f(x) gotten in steps 2 & 3 are the absolute maximum and absolute minimum values respectively of the continuous function f(x).
A and B are complementary angles. If mA = (2x + 30)° and mB = (7x – 3), then find the measure of B.
Answer:
mB=46
Step-by-step explanation:
2x+30+7x-3=90
Combine like terms
9x+27=90
Subtract by 27 on both sides
9x=63
Divide by 9 on both sides
x=7
mB=(7x-3)
Substitute 7 for x
mB= 7(7)-3
mB= 49-3
mB=46
Answer:
The measure of B is 46°
Step-by-step explanation:
To solve this equation, you need to add the two equations, and set them equal to 90° since they are complementary angles
2x+30+7x-3=90
You also need to add like terms, so 2x+7x and 30+-3, or 30-3
9x+27=90
Then you need to isolate the variable by subtracting 27 from both sides
9x+27-27=90-27
=
9x=63
Then you need to divide both sides by 9 to get x=7
Since we know what x is, we plug x into the equation (7x-3) and we will now have 7(7)-3.
To solve this, we multiply 7 and 7, and subtract 3 to get 46.
So the answer is mB=46
I hope this helps!!
Given parallelogram ABCD, the measure of angle C
Answer:
70 is the answer to the question
Answer:
[tex]70^{o}[/tex]
Step-by-step explanation:
Opposite angles in a parallelogram are equal. The opposite angle to A is C and we are trying to find angle C. Therefore, <C = <A, therefore, <c= 70 degrees
A cookbook originally cost $13.00. Yesterday, Marta bought it at 40% off.
Horn
40%
OFF
How much was deducted from the original price? (4 pt.)
А
$0.40
B
$5.20
$7.80
A percentage is a way to describe a part of a whole. The amount paid by Marta for the cookbook is $7.80.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
As it is given that the original price of the cookbook was $13, Marta bought it for 40% off. Therefore, Marta only paid 60% of the original cost,
[tex]\text{Amount paid by Marta} = \text{60\% of the original cost}\\\\\text{Amount paid by Marta} = \dfrac{60}{100} \times \$13\\\\\text{Amount paid by Marta} = \$7.8[/tex]
Thus, the amount paid by Marta for the cookbook is $7.80.
Learn more about Percentages:
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The mapping diagram shows a functional relationship.
A mapping diagram shows a relation, using arrows, between domain and range for the following ordered pairs: (8, 4), (negative two-thirds, 3), (11, negative 1), (4, one-half).
Complete the statements.
Answer:
do you have the diagram
Step-by-step explanation:
Answer:
yes ido
Step-by-step explanation:
A one dimensional object with no endpoint is a?
A.ray
B.line segment
C.line
D.point
Answer:
its line fjfjfjjejjdjdj
As per the given condition, the required one dimensional object with no end point is a line.
What is a ray?"In geometry, a ray can be defined as a part of a line that has a fixed starting point but no end point. It can extend infinitely in one direction.
On its way to infinity, a ray may pass through more than one point. When naming a ray, it is denoted by drawing a small ray on top of the name of the ray. "
What is a line segment?"A line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints."
What is a line?"A line is a one-dimensional object, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. "
What is a point?"A point is a primitive notion that models an exact location in the space, and has no length, width, or thickness. In modern mathematics, a point refers more generally to an element of some set called a space."
Given, a one dimensional object with no endpoint.
Therefore, the require object is a line.
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Solve this equation -3-2[4-1]
Answer:
-15
Step-by-step explanation:
(-3-2)*(4-1)
-5*3=-15
Answer:
-15
Step-by-step explanation:
By rule of pemdas, 4-1 = 3. -3 -2= -5. -5 * 3= -15.
ASAP PLZ HELP WITH THIS QUESTION I WILL MARK U AS BRAINLIST
Answer:
............................
Step-by-step explanation:
The Jackson family went to eat at Applebees. Their bill came to $32.89. They gave the waiter a 15% tip. What was the total amount they paid for their bill?
$32.89
15% tip
Is $4.94
Making the total of the bill
$37.83
Mari claims that 2(to the fifth power) × 3² x 5 is a multiple of a number. Is she correct? Explain. ASAP
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The answer to [tex]2^{5} *3^{2} *5[/tex] is 1440.
I believe she is correct because 1440 can be divided by another number without any remainders.
Giovanni Food Products produces and sells frozen pizzas to public schools throughout the eastern United States. Using a very aggressive marketing strategy they have been able to increase their annual revenue by approximately $10 million over the past 10 years. But increased competition has slowed their growth rate in the past few years. The annual revenue, in millions of dollars, for the previous 10 years is shown.
Year Revune
1 8.53
2 10.84
3 12.98
4 14.11
5 16.31
6 17.21
7 18.37
8 18.45
9 18.40
10 18.43
Required:
a. Construct a time series plot. Comment on the appropriateness of a linear trend.
b. Using Minitab or Excel, develop a quadratic trend equation that can be used to forecast revenue.
c. Using the trend equation developed in part (b), forecast revenue in year 11.
Answer and explanation:
Please find attached
An angle measures 50° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
115, 65
Step-by-step explanation:
Let x be an angle measurement
x-50 is the supplement
They add to 180
x + x-50 = 180
2x-50 = 180
Add 50 to each side
2x-50 + 50 =180+50
2x = 230
Divide by 2
2x/2 =230/2
x = 115
The measure are 115 and 115-50=65
How do you Subtract 9x^2 + 22x - 46 from 12x^2 - 8x + 12.
Subtract the [tex]x^2[/tex] terms from each other, then the [tex]x[/tex] terms, then the ones without any [tex]x[/tex] whatsoever.
[tex](12x^2 - 8x + 12) - (9x^2 +22x-46)[/tex]
First, we'll subtract [tex]9x^2[/tex] from [tex]12x^2[/tex]
[tex]12x^2-9x^2- = 3x^2[/tex]
Result: [tex]3x^2[/tex]
Next, we'll subtract [tex]22x[/tex] from [tex]-8x[/tex]
[tex]-8x - 22x = -30x[/tex]
Result: [tex]-30x[/tex]
Finally, we'll subtract [tex]-46[/tex] from [tex]12[/tex]
[tex]12-(-46) = 12+46 = 58[/tex]
Result: [tex]58[/tex]
Now, we can add these 3 results together.
First, we had [tex]3x^2[/tex], then [tex]-30x[/tex], and finally [tex]58[/tex].
Thus, our subtraction of
[tex](12x^2 - 8x + 12) - (9x^2 +22x-46)[/tex]
equals
[tex]3x^2-30x+58[/tex]
Which order pairs are solutions to the equation 4x+2y=4
Answer:
Slope=2.000/4.000
−2.000x−intercept= 22
=1y−intercept= 12
=2.00000
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*x+2*y-(4)=0
Pull out like factors :
4x + 2y - 4 = 2 • (2x + y - 2)
Solve : 2 = 0
This equation has no solution.
A non-zero constant never equals zero.
Solve 2x+y-2 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 2x+y-2 = 0 and calculate its properties
Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2.00000
y-intercept = 2/1 = 2.00000
When y = 0 the value of x is 1/1 Our line therefore "cuts" the x axis at x= 1.00000
x-intercept = 2/2 = 1
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 2.000 and for x=2.000, the value of y is -2.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -2.000 - 2.000 = -4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -4.000/2.000 = -2.000
Please answer this correctly without making mistakes
Answer:
This is what internet says. Maybe this helps.
the sum of a interior angle measures of a polygon is 5220. How many sides does the polygon have
9514 1404 393
Answer:
31
Step-by-step explanation:
The relationship between sides and the sum of angles is ...
sum of angles = (sides - 2)·180°
Filling in the given value and solving for "sides", we get ...
5220 = (sides -2)180
29 = sides -2 . . . . . . . . . divide by 180
31 = sides . . . . . . . . . . . . add 2
The polygon has 31 sides.
Answer:
31
Step-by-step explanation:
5220/180=29+2=31
PLEASE HELP ME!
I would really appreciate it.
Answer:
Step-by-step explanation:
It's D the reasoning here is just look at the points at the graph and their x y coordinate
Scarlett stopped at a campground along the Appalachian trail. The campground had a 1
2
acre area for tents, divided into 6 equal campsites. Scarlett picked one of the sections to pitch her tent.
Which expression would give you the size of Scarlett’s campsite? Check all that apply.
One-half divided by 6
StartFraction 6 Over 7 EndFraction divided by 6
6 divided by one-half
StartFraction 6 Over 12 EndFraction divided by 6
6 divided by StartFraction 3 Over 6 EndFraction
Answer:
1/2 divided by 6
6/12 divided by 6
Step-by-step explanation:
Answer:
a - d
Step-by-step explanation:
Find the limit
(calculus)
Answer:
0
Step-by-step explanation:
Step 1: Define
[tex]\lim_{x \to \infty} e^{x-x^2}[/tex]
Step 2: Substitute in infinity
[tex]\lim_{x \to \infty} e^{\infty-\infty^2}[/tex]
We know that the second exponent is always going to be bigger than the 1st exponent, so we would get a negative exponent.
[tex]\lim_{x \to \infty} e^{-\infty}[/tex]
We can simplify a negative exponent into a fraction.
[tex]\lim_{x \to \infty} \frac{1}{e^{\infty}}[/tex]
We know that if we keep plugging in larger numbers for x, the denominator is going to be infinitely big. And bigger the number we are dividing by, the smaller the entire fraction is going to be.
Therefore, we would be approaching 0.
Need HELP PLEASE! will mark brainliest and everything else!
THX
Answer:
0
Step-by-step explanation:
Order of operation:
P-parenthesis
E-exponents
M-multiplication
D-division
A-addition
S-subtraction
Follow this order of operation in order.
If there are parenthesis when solving an equation, do the parenthesis first, if there are exponents and multiplication, do exponents before you do multiplication.
14 + 5(-3) + 1
Multiply 5 * -3
14 + -15 + 1
Add 14 + (-15)
-1 + 1
Add -1 + 1
0
Hope this helps and pls do mark me brainliest:)
Answer:
0
I hope this helps!
Solve for x. -2x-4>8
Answer:
x<-6
Step-by-step explanation:
-2x-4>8
(move the constant to the right)
-2x > 8+ 4
(calculate)
-2x>12
(divide both sides)
x<-6
(your answer)
-3(x + 2) = 16 - x
I need helpppp ASAP
Answer:
x = -11
Step-by-step explanation:
-3(x + 2) = 16 - x
-3x - 6 = 16 - x
-22 = 2x
Divide
-22/2 = x
-11 = x
which equation represents a line which is parallel to the line x-3y=15?
Step-by-step explanation:
Two lines that are parallel have the same slope. If we make [tex]x - 3y = 15[/tex] in to slope-intercept form it'll be like this:
[tex]x - 3y = 15 \\ -3y = 15 - x \\ y = \frac{15 - x}{-3} \\ y = \frac{1}{3}x - 5[/tex]
Now we know [tex]y = \frac{1}{3}x - 5\\[/tex] as its slope-intercept form we can see the slope is [tex]\frac{1} {3}\\[/tex].
[tex]y = \frac{1}{3}x + 4\\[/tex] has the same slope as [tex]y = \frac{1}{3}x - 5\\[/tex] so they are both parallel.
Answer:[tex]y = \frac{1}{3}x + 4\\[/tex]
A taxi company charges $3 per ride plus $1.50 for each mile traveled. Andrea wants to spend no more than $24 on a taxi ride. How many miles can Andrea travel? Select all that apply.
Answer:
x=14
Step-by-step explanation:
3+1.50x=24
24-3=21
21/1.50=14
Answer is C which is 14
Is the expression 6+3=9 an equation? Explain.
Answer:
No, 6+3=9 is not an equation.
Step-by-step explanation:
The reason as to why this is not an equation is because an equation is a statement that asserts the equality of two expressions, which are connected by the equal sign. And 6+3=9 does not in fact connect two separate expressions.
3/7 times 13 as a mixed number
Answer:
[tex]5\frac{4}{7}[/tex]
Step-by-step explanation:
Which variable would be easier to eliminate?
- 4x - 9y= - 10
4x + 2y = 24
Оy
neither
Ох
It's easier to eliminate x because when you add both equations -4x +4x would be zero
What is the Y intercept of the line graphed on the grid
Answer:
5.5
Step-by-step explanation:
The y-intercept of the line graph shown above is the value of the point where the line cuts the y-axis. The y-intercept of this graph is between 5 and 6. However, we can get an accurate value by calculation. This can be done by generating an equation of the line.
Recall the slope-intercept equation, [tex] y = mx + b [/tex], where m = slope of the line, b = y-intercept.
To generate the equation of the line, first find slope using the points (-2, 7) and (6, 1):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 7}{6 -(-2)} = \frac{-6}{8} = -\frac{3}{4} [/tex].
Substitute m = ¾ and the coordinates (6, 1) into the slope-intercept equation to find the y-intercept (b):
[tex] y = mx + b [/tex]
[tex] 1 = -\frac{3}{4}(6) + b [/tex]
[tex] 1 = -\frac{18}{4} + b [/tex]
[tex] 1 = -4.5 + b + 4.5 [/tex]
[tex] 1 + 4.5 = -4.5 + b + 4.5 [/tex]
[tex] 5.5 = b [/tex]
Therefore, b = y-intercept = 5.5.
To generate the equation of the line, plug in the values of m and b, we would have:
y = ¾x + 5.5
The y-intercept of the line of the graph is 5.5.
Graph the system of linear inequalities on the coordinate plane.
y [tex]\geq[/tex] 1/2x + 2 1/2
y< 1/5 x + 6
a. Shade the solution to the system of inequalities.
b. Pick a point and show your solution is correct.
Answer: Images of Graphs are listed below. I am unsure on how to conduct the second part. but there is the first part
Step-by-step explanation:
Natalie earned £173 last week and she worked for 25 hours.
How much did she earn per hour
Answer:
$6.92
Step-by-step explanation:
Divide the total income by the numbers of hours worked
173/25=6.92
Kyle invested $ 500 and received $ 650 after three years. What had been the interest rate?
Since Kyle invested $500 and received $650 after three years, the value of Kyles's interest rate is 43.3%.
Given the following data:
Principal = $500Simple interest = $650Time = 3 yearsTo calculate the value of Kyles's interest rate:
Mathematically, simple interest is given by the formula:
[tex]S.I = \frac{PRT}{100}[/tex]
Where:
S.I is the simple interest.P is the principal amount.R is the interest rate.T is the time measured in years.Making R the subject of formula, we have:
[tex]R = \frac{100S.I}{PT}[/tex]
Substituting the given parameters into the formula, we have;
[tex]R = \frac{100 \times 650}{500 \times 3}\\\\R = \frac{65000}{1500}[/tex]
Interest rate, R = 43.3%
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