PLEASE I BEG ANYONE WHO SEES THIS QUESTION TO PLEASE HELP ME TO PLEASE GIVING A CORRECT ANSWERS OR CHOICES PLEASE I'LL GIVE 50 POINTS!!!!!!!!!
Hi I really need help with this problem please.
Correct answers only
the choices are:
equal to
1 greater than
1 less than
2 greater than
2 less than
3 greater than
3 less than
Answers
Answer:
The maximum value of g(x) is 3 greater than the maximum value of f(x).
Step-by-step explanation:
Quadratic Function: Definitions:The function modeled by the equation, f(x) = - (x - 3)² + 9, represents a quadratic function in vertex form.
The vertex form is given by: f(x) = a(x - h)² + k, where:
⇒ The value of a is the vertical compression or stretch factor, which essentially determines the width of a parabola. The value of a also determines where the graph of a parabola opens:
a > 1: graph opens up; a < 1, graph opens down.⇒ (h, k) = Vertex of the parabola.
Given these definitions, we can assume the following information regarding the quadratic function, f(x) = - (x - 3)² + 9:
The vertex occurs at point, (3, 9).The graph opens down because a = -1. Therefore, the vertex is the maximum point of the graph.Absolute Value Function: Definitions:
The vertex form of an absolute value function is given by: g(x) = a|x - h| + k, where:
⇒ The value of a determines the following:
|a| > 1 represents the vertical stretch of the graph. 0 < |a| < 1 represents the vertical compression or shrink of the graph. a < 0 represents the reflection across the x-axis.⇒ (h, k) = Vertex of the absolute value function.
⇒ x = h represents the axis of symmetry.
The axis of symmetry is the imaginary point on the graph that intersects through the h-coordinate of the vertex, thereby dividing the graph into two symmetrical parts.
Observing the given table of values, especially how the y-values increasingly peak towards g(x) = 12, then decreases back down starting at g(x) = 8. It is important to take notice of the y-values, as it represents the resulting output provided by the given input (x-value).
The increasing, followed by the decreasing y-values imply that the graph must be facing downward. Since we specified that the maximum point provided by g(x) = 12, then it means that it is the vertex occurs at point, (1, 12).
Compare the vertices of f(x) and g(x):The vertex of the quadratic function, f(x) = (3, 9). The vertex of the absolute value function, g(x) = (1, 12). The basis of comparing the minimum or maximum value of a graph is the output, or the y-value. The difference between the maximum values of g(x) and f(x) = 3.
Therefore, the maximum value of g(x) is 3 greater than the maximum value of f(x).
Related Questions
In a scaled diagram, 1 inch represents 20 feet.
How many square inches on the diagram
represent 1 square foot?
Answers
Answer:
240
Step-by-step explanation:
1 foot=12 inches.
12 inchest times 20=240
In 1 square feet there will be 0..0025 inches on the scaled diagram.
What is unit conversion of measurement?Conversion of one unit to another unit of measurement for the same quantity using multiplication/division by conversion factors is known as unit conversion of measurement.
For example,
1 kg = 1000g
⇒ 1 gm = 1/1000kg
According to the given question.
1 inch = 20 feet.
⇒ [tex]1 feet = \frac{1}{20} inch[/tex]
⇒[tex]1^{2} (feet)^{2} = (\frac{1}{20} )^{2} (inch)^{2}[/tex]
⇒ 1 square feet = 1/400 square inches
⇒ 1 square feet = 0.0025 square inches
Hence, in 1 square feet there will be 0..0025 inches on the scaled diagram.
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16-?=2+6 solve for the missing number
Answers
Answer:
8
Step-by-step explanation:
trust
Answer:
8
Step-by-step explanation:
16-?=2+6
First, we add the right side .
16-?=8
Now that it's easier to solve, we can figure out you need to subtract 8 from 16 to get 8.
16-8=8
Class 10R sat a test.
The mean mark for the class was 70%.
There are 30 students in class 10R, 20 of whom are boys.
The mean mark for the boys in the test was 62%.
Work out the mean mark for the girls.
Answers
86%
Step-by-step explanation:30 students in the class with a mean average of 70% can be expressed as:
total class percent / 30 = 70%
Rearranged, this gives that the class achieved a total of 30x70 or 2100%.
20 boys in the class with a mean average of 62% can be expressed as:
total boys percent / 20 = 62%
Rearranged, this gives that the boys achieved a total of 20x62 or 1240%.
This means that the girls achieved 2100 - 1240 so 860%.
Because there are 30 students and 20 boys, there are 10 girls.
Then work out the mean with a total of 860% and 10 girls.
860/10 = 86%.
A Carpenter wants to build a elliptical table top from a 4 foot to by 6 foot sheet of plywood. she traces out the ellipse using a string attached to thumbtacks located at the foci of the ellipse.
Answers
The thumbstacks have an in-between distance of [tex]2\sqrt{5}[/tex] feet.
The distance between any focus and the center of the ellipse ([tex]c[/tex]), in feet, is described by the following expression:
[tex]c = \sqrt{a^{2}-b^{2}}[/tex] (1)
Where:
[tex]a[/tex] - Major semiaxis length, in feet.[tex]b[/tex] - Minor semiaxis length, in feet.If we know that [tex]a = 3\ft[/tex] and [tex]b = 2\,ft[/tex], then the distance between focus and center is:
[tex]c = \sqrt{3^{2}-2^{2}}[/tex]
[tex]c = \sqrt{5}[/tex]
The distance between the thumbstacks is described by this expression:
[tex]d = 2\cdot c[/tex]
[tex]d = 2\sqrt{5}\,ft[/tex]
The thumbstacks have an in-between distance of [tex]2\sqrt{5}[/tex] feet.
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Question 13 of 20
If fx) = 5x- 4 and g(x) = 4x+1, find (f- g)(x).
Answers
Answer:
Step-by-step explanation:
x-5
express the followinf percentage as a fraction
a) 6 3/5%
Answers
Answer:
6.6/100 or 3.3/5
Step-by-step explanation:
6.6% or 6 3/5% now since those are all out of 100 (since percentages) you just put #/100 and get your fraction
Vivi is 40 floors from the top of her building. If she starts at the bottom and runs up 5 floors every 20 seconds, how far is she from the top of the
building after 90 seconds?
O 12 floors
• ,14
floors
17 floors
19.
O
floors
Answers
Answer:
17 floors
Step-by-step explanation:
1 floor every 4 seconds.
90/4 = 22.5
40 - 22.5 = 17.5
17.5 is 17ish floors, and is the only answer that is close to 17 floors.
The cube of twice a number.
Answers
Answer
?
Step-by-step explanation:
Wheres The Question
i need the answer for
3-3 Mini Assessment | Constant of Proportionality in Graphs
Question
POSSIBLE POINTS: 1
The relationship between the number of ounces of tea purchased and the total cost of the tea is proportional as shown in the graph.
Which equation models this relationship?
y = 7/4x
y = 4/7x
y = 4/1x
y = 1/4x
Answers
Answer: y= (7/4)x
Step-by-step explanation:
Build a table of representative values and then calculate the slope between any 2 of the points. I'll pick (2,3.5) and (8,14) [See attachment. ]
The slope is the Rise/Run:
Rise = (14 - 3.5) = 10.5
Run = (8-2) = 6
Slope = Rise/Run: (10.5/6) = 1.75
The equation should read y = 1.75x.
None of the options works, as written, but note that 7/4 looks close to 1.75. In fact, 7/4 = 1.75.
Use the equation y = 1.75x and enter several values of x (the ounces purchased) and y (the total cost of the purchase). The attachment summarizes the results (Predicted), along with the actual values (Actual) taken from the graph. Excellent correlation, considering the difficulty in making precise graph readings.
Therefore y = (7/4)x
Find the number that makes the ratio equivalent to 6:3 :9
Answers
Explanation: All of the numbers are divisible by 3 and so is 12. So 12 will make the ratio equivalent.
I need help with this Pre-Cal question
Answers
Answer:
Step-by-step explanation:
helpppppppppppppppppppppppppppppppppppppp
Answers
Answer:
a). 10
b). 14
c).12
d). 10
Step-by-step explanation:
Answer:
a) 10/55
b) 12/14
c) 9/12
d) 10/15
Step-by-step explanation:
evaluate the function when x equals -6, 4, 1.
Answers
Answer:
- 26 , 4 , - 5
Step-by-step explanation:
Substitute the given values of x into s(x) , that is
s(- 6) = 3(- 6) - 8 = - 18 - 8 = - 26
s(4) = 3(4) - 8 = 12 - 8 = 4
s(1) = 3(1) - 8 = 3 - 8 = - 5
PLEASE HELPP and no pictures please i can't see them on a school computer. Ill appreciate a step by step explanation than you! IM GIVING 40 POINTS
Answers
Answer:
a.
The area of the large circle is 225π cm² [exact] or 706.9 cm² [approximate].
b.
area = 50π/6 cm² [exact]
area = 26.2 cm² [approximate]
Step-by-step explanation:
This problem is easier to solve than it looks.
a.
Area of the large circle.
Look at the top left small circle, the middle circle, and the bottom right circle. You can draw a single line segment that is a diameter of the large circle and also contains the diameters of the three small circles. That means that the diameter of the large circle is 3 times the diameter of each small circle.
R and D are the radius and diameter, respectively, of the large circle.
r and d are the radius and diameter, respectively, of the small circles.
D = 3d
D = 6r = 6(5 cm) = 30 cm
R = 15 cm
A = πr²
A = π(15 cm)²
A = 225π cm²
The area of the large circle is 225π cm² [exact] or 706.9 cm² [approximate].
b.
There are 6 congruent spaces between the small circles and the large circle, and there are another, different 6 congruent spaces between the center circle and the 6 circles around it. The region we need is made up of one space of each type.
The combined area of all 12 spaces is the area of the large circle minus the total area of all the small circles. The area we need to calculate is 1/6 of that combined area.
area = (1/6)(area of large circle - total are of all small circles)
area = (1/6)[225π cm² - 7π(5 cm)²]
area = (1/6)[225π - 175π]cm²
area = 50π/6 cm² [exact]
area = 26.2 cm² [approximate]
You can drive 90 miles in 1/4 of a tank of gas in 1 hour.
Answers
Answer:
Step-by-step explanation: 1/4 will be about 4-5 with the reserve. You should be able to cover about 120 — 150 miles on that. Don't push your luck. Always keep your tank at least half full.
The line lowest to the bottom would mean you have 1/4 of a tank of gas and you should probably fill up soon, below 1/4 would be close to 1/8 of a tank which means get gas now.
A fraction (mathematics) of one fourth, one quarter, 25% or 0.25.
one of the four equal or equivalent parts into which anything is or may be divided. 2. a fourth part, esp. of one (¼).
One-fourth is also called a quarter.
To find one quarter of a number divide the number by 4. So 1640 divided by 4 is 410.
The number of miles travelled by the vehicle in full tank will be 360 miles.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that you can drive 90 miles in 1/4 of a tank of gas in 1 hour. The number of miles will be calculated as,
Number of miles in full tank = 4 x 90
Number of miles in full tank = 360 miles
Hence, in a full tank, the vehicle can travel 360 miles.
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yo ill give brainliest if ur right help pls
Answers
Answer:
B or C. Im thinking C.
Step-by-step explanation:
Answer:
C, look at the problem and it says plus" directly look at the option and compare.
Step-by-step explanation:
Draw an ordered stem and leaf diagram to show this information.
245, 250, 251, 253, 258, 264, 267, 269, 273, 276
Key:24|5 means 245.
Answers
=========================================================
Explanation:
The key tells us how to set up the stem and leaf diagram. It says that [tex]24|5[/tex] represents the value 245.
This means that "24" is one of the stems. In fact, it's the smallest stem possible since there's nothing smaller than 240 on this given list of values.
The only leaf associated with this stem is 5. The stem 24 and the leaf 5 combine to form the number 245 as the key indicates.
--------------------------
In the next row is the stem 25. For this stem, we'll have the leaves of: 0, 1, 3, 8. The stem 25 and those leaves mentioned combine to form 250, 251, 253, 258 in that exact order. This time we'll use up four boxes for this row. The last box in this row is blank.
The remaining rows (stems 26 and 27) are handled in pretty much the same fashion. Let me know if you have questions how the boxes are filled in. It helps to start with sorted data from smallest to largest. Luckily, that's already been done for us.
The filled out chart is shown below. I replaced the stems 0,1,2,3 with 24,25,26,27.
Help me please save me from detention
Answers
Answer:
The answer is B.
Step-by-step explanation:
It would be B because,
2+2=4
4+2=6
6+4=10
10+6=16
Not A because,
1+1=2
2+1=3 not 4
There you go :) pls gime the crown... :)
Last semester, Zachary earned an average score of 80 points on math tests. So far this semester, his average score is 15% lower. What is the average of Zachary's scores this semester?
Answers
Answer:
The answer would be 12
Step-by-step explanation:
15/100 = X/80
To solve the equation above for X, you first switch the sides to get the X on the left side, then you multiply each side by 80, and then finally divide the numerator by the denominator on the right side to get the answer.
The equation
15/100 = X/80
X/80 = 15/100
X*80/80 = 15*80/100
X = 1200/100
X = 12
If an atom has 5 protons, 7 neutrons and 5 electrons what is the mass number of the atom?
Please help quick!
No links!
Answers
Answer:
7+5=12
Step-by-step explanation:
To calculate the mass number of an atom, you have to add the protons and the neutrons. We have 7 neutrons and 5 protons, so your mass number would be 12. Let me know if you have any further questions. :)
line j passes through the point (-4,10) and (2,-8). Line k passes through the point (1,2) and is parallel to line j. Find an equation for line k.
Answers
Answer:
344444444433333338694
Step-by-step explanation:
Answer: y = -3x+5
Step-by-step explanation:
How do you solve 100^(5x+2)=1000^(4x-1)?
Answers
Using the figure below, find the area of the circle.
Answers
radius = 5 cm
area of circle = πr2
= (3.142)(5)^2
=78.55 cm^2
Answer:
Step-by-step explanation:
Diameter of the circle = Side of the square = 10 cm
radius = r= 10/2 = 5 cm
Area = πr²
= 3.14*5*5 = 78.5 cm²
Express in vertex form
Y=2x^2 - 2x - 5
Answers
Answer:
y = 2(x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{11}{2}[/tex]
Step-by-step explanation:
y = 2x² - 2x - 5 ← factor out 2 from the first 2 terms
= 2(x² - x) - 5
Using the method of completing the square
add/subtract (half the coefficient of the x- term)² to x² - x
y = 2(x² + 2(- [tex]\frac{1}{2}[/tex] ) x + [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{4}[/tex] ) - 5
= 2(x - [tex]\frac{1}{2}[/tex] )² + 2(- [tex]\frac{1}{4}[/tex] ) - 5
= 2(x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{1}{2}[/tex] - 5
= 2(x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{11}{2}[/tex] ← in vertex form
Point G lies between points F and H on Line segment F H.
A line contains points F, G, H. The space between F and G is 4 x. The space between G and H is 2 x.
If the length of FH is 18 units, what is the value of x?
3
4
6
12
Answers
Answer:
it is 3
Step-by-step explanation:
4x+2x=18 so we solve for x which is 3
Answer: A. 3
Step-by-step explanation: On Edge!!
Given this quadratic equation, 2x^2-x-28=0,
List the factors of this equation.
Determine the x-intercepts.
Answers
[tex]\\ \sf\longmapsto 2x^2-x-28=0[/tex]
[tex]\\ \sf\longmapsto 2x^2-8x+7x-28=0[/tex]
[tex]\\ \sf\longmapsto 2x(x-4)+7(x-4)=0[/tex]
[tex]\\ \sf\longmapsto (2x+7)(x-4)=0[/tex]
[tex]\\ \sf\longmapsto x=7/2\:or\:x=4[/tex]
Solving by Elimination
Answers
Answer:
unsolvable
Step-by-step explanation:
by elemination 14x+7y=-7 (1)
-14x-7y=7 (2)
x and y will be 0 then
7⅕-2⅔x0,5 explain step by step
Answers
Step-by-step explanation:
7/5 - 2×2/3 × 0.5 = 1.4 - 2×0.5×2/3
= 1.4 - 1 ×2/3
=1/4 × 2/3
=1.5 - 0.6
? 2x² – 3x - y = -5
-x+y=5
Answers
Answer:
2x^2- 3x - Y= -5 -x + Y = 5
there is no solve because it already is solved.
Step-by-step explanation:
Pls help me answer this question
Answers
x=
d+a
——
b+c
Answer above
