For h(x), to find out the maximum, you would need to use this formula: [tex]c-(\frac{b^{2} }{4a} )[/tex]
We are given the equation: [tex]h(x)=-x^{2}+4x-2[/tex].
So, a = -1, b = 4, and c = -2. Then, substitute the numbers into the formula:
h(x)'s maximum = [tex]c-(\frac{b^{2} }{4a} )[/tex]
= [tex](-2)-(\frac{(4)^{2} }{4(-1)} )[/tex]
= [tex](-2)-(\frac{16 }{-4} )[/tex]
= [tex](-2)-(-4)[/tex]
= [tex]2[/tex]
For g(x), to find out the maximum, just look at the highest point of y on the graph of the function, which is 2.
Thus, the answer you have chosen is the correct answer, which is choice 3: functions g and h have the same maximum of 2. Hope this helps :)
PLS HELP ME GRADES ARE DUE TODAY! Fill in the chart below based on the graphs. Remember: Slope is vertical change divided by horizontal change.
Answer:
VC , HC , S
A) 6 , 3 , 2
b) 8 , 2 , 4
c) 40 , 20 , 2
Answer:
Graph Vertical Horizontal Slope
A 6 3 2
B 2 8 .25
C 40 20 2
Step-by-step explanation:
Graph A
vertical...
9-3=6
horizontal...
4-1=3
slope...
6/3=2
Graph B
vertical...
3.5-1.5=2
horizontal...
10-2=8
slope...
2/8=.25
Graph C
vertical...
75-35=40
horizontal...
30-10=20
slope...
40/20=2
What is the domain of the linear function below?
Y=6x+3
A. All negative numbers
B. All positive numbers
C. Integers only
D. All real numbers
an average speed of 57 km/h and the remaining 55 km at an average speed of 110 km/h. Find the average speed of the car for its entire journey.
Answer:
83.5km/h
Step-by-step explanation:
To find average you have to add up all the numbers in a given set then divide it by the amount of numbers in that set
Question 5: Find the area of the following rectangle. Hint: multiply the binomials (x-3)(x+6). *
Answer:
B
Step-by-step explanation:
(x-3)(x+6)
x²+6x-3x-18
x²+3x-18
Which expression represents the volume of the prism? One-halfx3 (one-half x) cubed Five-halvesx3 (Five-halves x) cubed
Answer:
Volume = ½x³ units.
Step-by-step explanation:
From the image, we can deduce the following;
Length = x
Breadth = x
Height = ½x
To find the volume of prism;
Mathematically, the volume of a prism is given by the formula;
Volume of prism = length * breadth * height
Substituting into the formula, we have;
Volume of prism = x * x * ½x
Volume = x² * ½x
Volume = ½x³ units
Answer:
1. A- 1/2x^3
2. 168
3. 927
4A. 48
4B. 336
5. A D
6. 1 3 3
7. 12 cm
8. 8 , 4
9. B
10. A C D
Step-by-step explanation:
The area of triangle QTU is 6 square units, and the area of triangle RSU is 6 square units. The dimensions in the figure below are labeled in units. What is the area of triangle STU in square units
Answer:
The area of a triangle is 1/2BH, or 1/2 times the base times the height.
If the area = 6, and B and H must both be whole numbers.
The area of the triangle ΔSTU is given by A = 12 units²
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the area of the triangle ΔSTU be represented as A
Now , the area of triangle ΔQTU is 6 square units, and the area of triangle ΔRSU is 6 square units
So , the base of the triangle ΔSTU = 6 units
The height of the triangle ΔSTU = 4 units
So , area of the triangle = ( 1/2 ) x Length x Base
On simplifying , we get
The area of triangle ΔSTU = ( 1/2 ) x 4 x 6
The area of triangle ΔSTU = 12 units²
Therefore , the value of A is 12 units²
Hence , the area of the triangle is 12 units²
To learn more about triangles click :
https://brainly.com/question/16739377
#SPJ3
The complete question is attached below :
The area of triangle QTU is 6 square units, and the area of triangle RSU is 6 square units. The dimensions in the figure below are labeled in units. What is the area of triangle STU in square units?
Since multiplication is implied algebra we often don't need to actually write the times symbol ‘×'. Re-write this algebraic equation without the times symbol. a × b = 4 × c
Answer:
ab=4c
Step-by-step explanation:
Since a and b are being multiplied, we can just right ab. Since 4 and c are being multiplied, we ca just right 4c.
Answer:
ab=4c
Step-by-step explanation:
Basically, if you see any variables that are together like that or numbers side by side with letters, it means it's just being multiplied! This doesn't however, work with numbers next to numbers. So for example:
Say you have a x b = 5 x 5c
It would be ab = 5 x 5c Because only letters get put next to each other. That's really the only way I know how to explain it. Have a great day and good luck!
Evaluate:
Σ18/1 (5n– 4) = [? ]
Basically, you are going to evaluate 5n - 4 from n = 1 to n = 18. Don't forget to add as you evaluate.
I will get you started.
Let n = 1 and then n = 2.
5(1) - 4 + 5(2) - 4 + the rest
5 - 4 + 10 - 4 + the rest
1 + 6 + the rest
7 + the rest
Just continue the pattern. You will then let n be 3, 4, 5, etc all the way to 18.
A CD usually sells for $18.00. If the CD is 10% off, and sales tax is 7%, what is the total price of the CD, including tax?
A. $18.30
B. $17.33
C. $17.46
D. $17.50
Answer:
b
Step-by-step explanation:
Martha ordered 3 cheesecakes. She will cut each cake into fourths. How many pieces of cake will she have?
A blade of a windmill completes 1 rotation every 4 seconds. The outer end of the blade travels 600 feet in 1 rotation. What is the speed of the outer end of the blade in feet per minute?
NEED ANSWERS ASAP
Answer:
900 feet per minute
Step by step solution:
I did 60÷4 then it is 15 so 600*15 is 9000
Hope i am right...
6v^2-6v-660
Factor the polynomial completely
Answer:
[tex]6 (v-11) (v + 10 )[/tex]
Step-by-step explanation:
i dont have any
AnsweR 6(V-11)(V+10)
Step-by-step explanation:
step1: after factoring out 6 we have :6v^2-6v-660=6(v^2-v-110)
step 2:identify constants b and c. b+-1 and c=-110
step3:find out all pairs of -110.
-1,110 1,110
-2,55 2,-55
-5,22 5,-22
-10,11 10,-11
step4: place 10 and 11 into place holders
x^2-x-110=(x+-)(x+-)
x^2-x-110=(x+10)(x-11)
Form and solve an equation for .
5x - 7
23
Answer:
x = 6
Step-by-step explanation:
5x - 7 and 23 are vertical angles and are congruent , then
5x - 7 = 23 ( add 7 to both sides )
5x = 30 ( divide both sides by 5 )
x = 6
please help me i am begging you. its one question. I WILL GIVE BRAINLIEST!!!!!
Answer:
3og -5 “times (x)” 3
Step-by-step explanation:
(3og minus 5) times 3
I don’t have time to explain but I hope this helps, I’m in a rush rn I got to do something
Plz make sure when you put an answer it is correct I’ll give you brainliest !
Answer:
C. 35 degrees
Step-by-step explanation:
Answer:
35 is your answer 21 plus 51 plus 73 plus 35
A store gives reward points for every dollar
spent. The number of reward points varies
directly with the total amount spent.
Sofia spends $300 and receives 15 reward
points.
Juan spends $900. He receives reward points
at the same rate as Sofia.
How many more reward points will Juan
receive than Sofia?
Please help me I give u 14 points please only correct answers ,!!!
????????????????????????????????????????????????
Answer:
Second one to the top right i think
Step-by-step explanation:
Use an area model to multiply (x+5)^2. Write your answer as a sum.
Not the link and if you dont answer, james charles will kiss you in the bed tonight.
Plz help!! 10 points
Answer:
The answer is the second option. x = -5.873 , x = 1.873
Step-by-step explanation:
1. add 11 to both sides of the equation
x^2 + 4x = 11
2. find a value that is equal to the square of half of b
(b/2)^2 = (2)^2
3. add the term to each side of the equation
x^2 + 4x + (2)^2 = 11 + (2)^2
4. simplify the equation
x^2 + 4x + 4 = 15
5. factor the perfect trinomial square into
(x + 2)^2 • (x + 2)^2 = 15
6. solve the equation for x
x = 1.873 , x = -5.873
HOPE THIS HELPS!!
☆☆ plz mark as brainliest ☆☆
Will get brainliest if correct
Answer:
half
Step-by-step explanation:
find a single discount equivalent to two successive discount of 20% and 5%
Answer:
Let the marked price =Rs100
After a discount of 20%, the price = 100−20% of100 = 100−10020×100 = 100−20=80
After a further discount of 5%, price = 80−5% of80 = 80−1005×80 = 80−4 = Rs76
Final Selling = Rs76
Total Discount = 100−76=Rs24
Thus, discount % = 10024×100 = 24%
11. Choose the appropriate graph for the equation below using slope-intercept form. y = -3x + 8 (multiple choice)
What is the area? pleaseee helppppp
Answer:
A = 12 sq in
Step-by-step explanation:
A = bh/2
A = 6(4)/2
A = 12
Find the area of each figure and round to the nearest tenth if necessary
Given:
The figure of two semicircles with diameters 6 cm and 5 cm.
To find:
The area of the combined figure.
Solution:
It is given that the diameters of the semicircles are 6 cm and 5 cm so their radii are 3 cm and 2.5 cm respectively.
Area of a semicircle is:
[tex]A=\dfrac{1}{2}\pi r^2[/tex]
So, the combined area of two semicircles with radii 3 cm and 2.5 cm is:
[tex]Area=\dfrac{1}{2}\pi (3)^2+\dfrac{1}{2}\pi (2.5)^2[/tex]
[tex]Area=\dfrac{1}{2}\pi (9)+\dfrac{1}{2}\pi (6.25)[/tex]
[tex]Area=14.137167+9.817477[/tex]
[tex]Area=23.954644[/tex]
Round the value to the nearest tenth (one decimal place.
[tex]Area\approx 24.0[/tex]
Therefore, the area of given figure is 24.0 sq. cm.
help with these 2 questions pls
Answer:
6 .
4X + 2 + X = 8X +2 -3X
5X+2=5X+2
0=0
The two sides of the equation are always equal ,so 3 or any other number can be a solution for it .
7.
6X+6-3X+6= X+4
3X+12= X+4
2X= -8
X= -4
Hope it was helpful .
Step-by-step explanation:
I hope that everything I have written helps you.if I'm wrong write the answers in your paper doesn't match with mine please tell me I'll try it again.
la suma de los cuadrados de dos numeros
What is the equation of the line shown in the graph?
Answer:
-1/5
Step-by-step explanation:
I couldn't tell whether or not your question was asking for either the slope intercept form or just the slope.
Your answer would be: y = -1/5x + 3 [if your question is asking for the slope intercept form]
OR
Your answer would be: -1/5 [if your question is asking for just the slope]
If Savannah increases her protein intake from 45g to 54g in order to stay competitive in volleyball. What is the percentage increase of her protein intake?
A veterinarian office conducted a survey of the weight of dogs that came in for physicals. 55, 37, 8, 50, 60, 50, 48 Find the outlier:
Answer:
8
Step-by-step explanation:
The outlier is the puece of data that is very different from the rest. If all of the numbers in this data were to be put on some sort of visualization, most of the numbers would be in a clump, while the 8 would be far from the clump.
the answer is 8 because when you plot the data it is the one really far away that skews the data
3a=a+36 find the value of a
Answer:
a=18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
Step 1: Write out your equation
3a=a+36
Step 2: Subtract a on both sides
2a=36
Step 3: Divide by 2 on both sides
a=18
Hope I helped