Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation.
y = negative 2 x squared + 7 x + 4
a.
( 1.75, -2.125)
c.
( 1.75, 10.125)
b.
( 1.75, 4)
d.
( -1.75, 10.125)
Answers
Given:
The equation of a parabola is:
[tex]y=-2x^2+7x+4[/tex]
To find:
The vertex of the graph of the given equation by using a graphing calculator.
Solution:
We have,
[tex]y=-2x^2+7x+4[/tex]
By using the graphing calculator, draw the graph of the given equation as shown below.
From the below graph it is clear that the function is maximum at point (1.75,10.125).
So, the vertex of the given equation is (1.75,10.125).
Therefore, the correct option is c.
Related Questions
help
What is the domain and range of the exponential graphed below?
A.Domain: All real numbers
Range: y > -4
B.Domain: All real numbers
Range: All real numbers
C.Domain: x > 0
Range: y < -6
D. Domain: All real numbers
Range: y > 0
Answers
Answer:
B
Step-by-step explanation:
I just did the test
The range and domain of the function exists on all real values
Domain and Range of functionsDomain of a function is the value of the input of graph for which the function exists.
The range of a function is the value of the output of graph for which the function exists.
The given graph denotes an exponential function showing the arrow pointing infinitely in both directions. Hence the range and domain of the function exists on all real values
Learn more on range and domain here: https://brainly.com/question/2264373
#2
Please helppp
Extra 100 points
Answers
Answer:
Step-by-step explanation:
C looks good
Prove or disprove the figure defined by points A, B, C, d is a rhombus
Answers
Answer:
It is not a rhombus, because all the internal angles are equal.
Step-by-step explanation:
A rhombus is a figure that has four sides of equal length, and 2 internal angles that are smaller than the other two internal angles.
First, let's look at figure ABCD.
We can see that all the sides have equal length by just counting the number of squares that each side takes (each side is 12 units long)
So now we need to see the angles.
Remember that if two lines are perpendicular, then the angle formed by those two lines is exactly 90°.
We can see that the segment BC is horizontal (the y-value of B is the same than the y-value of C)
While the segment CD is vertical (the x-value of C is the same than the x-vale of D)
Then one segment is horizontal, and the other is vertical, which means that the segments are perpendicular, thus the angle C is 90°.
Now we can do the same for segments CD and DA
We already know that CD is a vertical segment.
For segment DA we can see that the y-value of D is the same as the y-value of A, then this segment is horizontal, this means that segments CD and DA are perpendiculars, which means that D = 90°.
Because DA is parallel to BC, and CD is parallel to BA, we can conclude that:
A = 90°
B = 90°
Then all the angles are equal, so this is not a rhombus. (it is a square)
HELP ILL GIVE BRAINLIEST PLEASE I NEED TO PASS MY TEST
What kind of reflection do you need
to perform to reflect a point from
the first quadrant to the second
quadrant?
Answers
Reflection across Y axis
When two parallel lines are cut by a transversal, _______________________ angles are supplementary
A.Corresponding angles
B. Alternate interior angles
C, Alternate exterior angles
D.Same side interor angles
Answers
Answer:
When two parallel lines are cut by a transversal, Alternate interior angles are supplementary.
Step-by-step explanation:
A used-car salesperson purchased
a car for $4000 and sold it for 40%
more. What was the selling price of
the car?
Answers
Answer:
5,600 dollars he sold it for
Step-by-step explanation:
Basically if you cross multiply, you'll do 4,000 times 40. Then divide what you get from multiplying by 100, so do 160,000 divided by 100 in this case. Then when you get that 1,600, it isn't the final step. Lastly, you'll have to add 1,600 on to 4,000 to get the markup selling price. :)
does anyone know how to do any of this??????????
Answers
Answer:
is that math or something calculation?
Factor 20t + 35
I don't understand how to factor
Answers
Answer:
5(4t + 7)
Step-by-step explanation:
1) notice the 20 and 35 are both divisible by 5
2) factorise using 5
5(4t + 7)
simplify using laws of exponents. Write your asnwer using positive exponents
Answers
Answer: look at image below. it shows you the steps
Step-by-step explanation:
Hope this helped :)
answer for brainilest 11 points
Answers
Answer:
729 is 3 to the power of 6
Step-by-step explanation:
Answer:729
Step-by-step explanation: 3x3x3x3x3x3=729
Making a _________________________ is a one way to compose two functions.
Answers
Answer: making a composition is a one way to compose functions
Step-by-step explanation:
helppppppppppppppppppppppppppppppp
Answers
Answer:
b
Step-by-step explanation:
line segment CD has coordinates C(-1,9) and D(-7,1). If line segment EF is parallel to line segment CD, what is the slope of line segment EF?
Answers
Answer: Slope of segment EF is -4/3
Answer:
The answer is -3/4
Step-by-step explanation:
:)
Determine the function that models the median home price, f (n), in thousands of dollars, n years since
2010.
f(n) =
Answers
I need help
.........:...:..:............
Nat wants to buy a new bike for $240. She has already saved $67. Over the summer, she will earn $100 per month walking dogs.
How many months will it take her to earn the rest of the money she needs to buy the bike? Enter the answer in the box.
months
Answers
Answer:2 months
Step-by-step explanation:
The square pyramid below represents a tent that Wayne is making. The sides of the tent will be covered in blue fabric, and the base of the tent will be covered in brown fabric. Find the surface area that will be covered in each color of fabric. Enter your answer in the boxes
Answers
Find the measure of angle G
Help ASAP
Answers
Data Set [ 146, 161, 114, 178, 150, 134, 172, 131, 128]. Find the Range
Answers
Answer:
64
Step-by-step explanation:
Organize the #s from small to big.
When trying to find range you take the MAX # - MIN #
The MAX # = 178
The MIN # = 114
178 - 114 = 64
De cuántas formas se puede vestir una mujer teniendo 3 blusas (blanca, azul, rosada), dos pantalones (negro y café) y tres pares de zapatos (negros, azules, grises) (tomado de precalculo James Stewar)
Answers
Answer:
Step-by-step explanation:
¡Hola! Lo siento, pero no hablo español. ¡qué tengas un lindo día!
HELPPPPZ WORTH 30 POINTS AND BRAINLIEST
Answers
Answer:
1. 49000
2. 5680
3. 0.508
4. 860
5. 4.83
6. 0.227
7. 2900
8. 4.873
9. 1.992
10. 0.043
11. 41000
12. 0.58
Maths: A motorist covers 3km in 4minutes.what is his average speed in ms-1?
Answers
Answer:
0.75m/s
Step-by-step explanation:
speed = d/t
Choose the correct discriminant, then
write the type and number of roots that it
indicates in the blank provided.
3x + 6 = -6x2
Answers
Answer:
3
Step-by-step explanation:
Order of Operations; PEMDAS
Parentheses
Exponents
Multiplication & Division (Left to Right) (ex: 10x2÷5) You would do whatever comes left for Multiplication or Division.
Addition & Subtraction (Left to Right) (ex: 10-2+5) You would do whatever comes left for Addition & Subtraction.
3x+6 =
(9+6=15)
(6x2=12)
(12-15=3)
Jordan bikes at a speed of 8 2/3 mph. How many miles will he bike in: 3 hours
Answers
Answer:
26 miles
Step-by-step explanation:
8 2/3 × 3 =26miles
hope this helps
Answer:
24 and 2/3
Step-by-step explanation:
If 3(2x) - 4(3x) + 3 = 0. Find the possible values of x
pls help
Answers
Answer: x=1/2=0.5
Step-by-step explanation:
Given
3(2x) - 4(3x) + 3= 0
Expand parenthesis
6x - 12x + 3 = 0
Combine like terms
-6x + 3 = 0
Subtract 3 on both sides
-6x + 3 - 3 = 0 - 3
-6x = -3
Divide -6 on both sides
-6x / -6 = -3 / -6
x = 1/2 = 0.5
Hope this helps!! :)
Please let me know if you have any questions
Can someone help me with this question ASAP
Answers
Answer:
D
Step-by-step explanation:
Answer:
the answer is: parallelograms are quadilaterals
Dexter has a gift card for $20.00 to an electronics store. He also has a coupon for 25% off his entire purchase, so he will be paying 75% of the total cost. He plans to buy a video game for $10.00 and batteries for $2.00. Select the equation that represents how much money will be left on his gift card after his purchases if x represents his remaining balance.
What is the equation that represents his remaining balance?
Answers
Answer:
Step-by-step explanation:
x=20(.75)+2+10 (or 12 if it says that)
Answer:
The linear equation that represent the situation is [tex]x=20-0.75(10+2)[/tex]
The remaining balance on his gift card is $11
Step-by-step explanation:
Let x represent the remaining balance.
We know that the linear equation that represent the situation is equal to[tex]x=20-0.75(10+2)[/tex]
Solve
[tex]x=20-0.75(12)[/tex]
[tex]x=20-9[/tex]
x=$11
BRO PLEASE HELP I NEED THIS STUFF IN AN HOUR PLEASE...
Answers
Answer:
They Have The Same Y-Intercept.
Function 2's y-intercept is -5.
Function 1 y-intercept could be found by inputting 0 as r.
p=0-5
p=-5
Meaning, they're equal.
Find the area of each parallelogram or triangle
Answers
Answer:
Step-by-step explanation:
Find the missing term in this
geometric sequence:
13, [?], 208
Answers
Answer is 52
Completely simplify the rational expression LaTeX: \frac{7x}{3y} + \frac{12x}{9y}
Answers
Answer:
[tex]\frac{11x}{3y}[/tex]
Step-by-step explanation:
[tex]\frac{7x}{3y} + \frac{12x}{9y}[/tex]
To add the two fractions, you need a common denominator. In this case, the lowest common denominator (LCD) is 9y. That's because 9y is divisible by both 3y and 9y.
The first fraction must be changed so that its denominator is 9y. Do this by multiplying both numerator and denominator by 3.
[tex]\frac{7x}{3y}\cdot\frac{3}{3}+\frac{21x}{9y}=\frac{21x}{9y}+\frac{12x}{9y}\\=\frac{21x+12x}{9y}\\=\frac{33x}{9y}[/tex]
Finally, this answer can be simplified ("reduced") by dividing both numerator and denominator by 3, their greatest common factor.