Answers
Note how y = -4(x-6)^2 + 3 is in the form y = a(x-h)^2 + k, which is vertex form. So we can see that the vertex is (h,k) = (6,3), since h = 6 and k = 3.
Note: This graph is an upside down parabola with (6,3) as the highest point.
---------------------------------------
In contrast, the max of g(x) is y = 6. This is the y coordinate of the highest point on the curve. One such point is (pi/2, 6). There are infinitely max points because the up and down pattern goes on forever.
So g(x) has the larger max compared to f(x).
Related Questions
Which mathematical property is demonstrated?
If w = - 8 and - 8 = u, then w = u.
Question 4 options:
symmetric property of equality
transitive property of equality
closure property of addition
closure property of multiplication
Answers
Given that x is a whole number, Niram conjectured that x3>x2 .
What value is a counterexample to Niram's conjecture?
(a) −2
(b) 1/10
(c) 1
(d) 5
Answers
Answer:
The answer is 1.
Step-by-step explanation:
Took the test.
In a certain region the number of highway accidents increased by 20% over a four years. How many accidents were in the 2006 if there was 5120 in 2002? hint when the percent increases if you want the original 100% plus the additional 20%
Answers
or u could do it this way as well...
5120 + 0.20(5120) = 5120 + 1024 = 6144 <=
Temperatures in the Gobi desert reach -40 F in the winter and 90 F in the summer. Find the range of the temperatures
Answers
add the 2 numbers together
40 + 90 = 130 degree range
At what point on the curve x = t 3, y = 3t, z = t 4 is the normal plane parallel to the plane 6x + 6y − 8z = 1?
Answers
The coordinates of the point are x=3 / 4, y = 3 / 4, and z = 3 for the plane.
What is a plane?A plane is a two-dimensional Euclidean surface that extends indefinitely in mathematics. A plane is the two-dimensional equivalent of a point, a line, and space.
Given that the points are x = 3t, y = 3t and z = 4t. The equation of the plane is 6x + 6y -8z = 1.
Substitute the value of x,y, and z in the equation and solve for the value of 't'.
6x + 6y -8z = 1.
6 x 3t + 6 x 3t - 8 x 4t = 1
18t + 18t - 32t = 1
4t = 1
t = 1 / 4
The coordinates will be calculated as,
x = 3t = 3 x 1 / 4= 3 / 4
y = 3t = 3 x 1 / 4= 3 / 4
z = 4t = 4 x 3 / 4 = 3
To know more about planes follow
https://brainly.com/question/5744831
#SPJ2
CHECK TWO ANSWERS PLS!!
Answers
For the second one, sin(x) (including any x value)has a range of [-1, 1] so 2sinx would have a range from [-2, 2] and the range for 2sinx-2 would be
[-4, -2] with the minimum being -4. For g(x), squaring something makes it positive, meaning that the minimum of (x-3)^2 would be 0. 0-1 would be -1. For h(x), the lowest is clearly -6, and -6 is lower than both -1 and -4, mking h(x) the smallest
Find the number of real number solutions for the equation. x2 – 4x + 4 = 0
Answers
The quadratic equation x^2 - 4x + 4 = 0 has one real number solution, x = 2, which is a repeated solution since the discriminant of the equation is zero.
To determine the number of real number solutions for the equation x2
- 4x + 4 = 0, we can use the discriminant method. The discriminant D of a quadratic equation ax2 + bx + c = 0 is given by b2 - 4ac. For our equation, a = 1, b = -4, and c = 4.
Calculating the discriminant gives us D = (-4)2 - 4(1)(4) = 16 - 16 = 0. Since the discriminant is equal to zero, it indicates that there is exactly one real number solution, which means the quadratic has a perfect square trinomial, or the two real solutions are identical.
In this case, the solution to the equation can be found by factoring the quadratic as (x - 2)2 = 0, which implies that x = 2. Therefore, the equation x2 - 4x + 4 = 0 has one real solution, x = 2, which is repeated.
The sum of the ages of ruth and her mother is 77 years. the difference in their ages is 27 years. how old is each?
Answers
A circle in the standard (x, y) coordinate plane is tangent to the x-axis at 4 and tangent to the y-axis at 4. Which of the following is an equation of the circle?
a
(x − 4)2 + (y − 4)2 = 16
b
x2 + y2 = 16
c
(x + 4)2 + (y + 4)2 = 16
d
x2 + y2 = 4
e
(x − 4)2 + (y − 4)2 = 4
Answers
The equation of the circle is: is (x - 4)² + (y - 4)² = 16 Option A
How the equation of the circle was derivedTo find the equation of a circle tangent to the x-axis at (4, 0) and tangent to the y-axis at (0, 4)
Let's use the general form of the equation for a circle:
(x - h)² + (y - k)² = r²
Where (h, k) is the center of the circle, and r is the radius.
The center of the circle is (4, 4) because it's tangent to both the x-axis and y-axis at 4.
The radius can be found by the distance from the center to the point (4, 0) (which is on the x-axis):
r = √((4 - 4)² + (0 - 4)²) = √(0 + 16) = √16 = 4
So the equation of the circle is:
(x - 4)² + (y - 4)² = 4²
(x - 4)² + (y - 4)²= 16
The correct option is: a) (x - 4)² + (y - 4)² = 16
Learn more about circle here
https://brainly.com/question/24375372
#SPJ3
In dividing an irregular shape into polygons it is permissible for the polygons to overlap
Answers
Ellie bought 0.7kg of jelly beans from her local food festival for £1.89. She knows that to work out the price of a whole kilogram she simply needs to divide the price she paid by the quantity she bought. Work out the price of 1kg jelly beans
Answers
Answer:
x = 2.7
Step-by-step explanation:
To find x
1) 1.89 ÷ 0.7 = 2.7
Thankyou
A computer and printer cost a total of $908. The cost of the computer is three times the cost of the printer. Find the cost of each item.
Answers
c=681
908/4=227
i hope these are the answers
Bruce wants to make sure that each tiger at the zoo has 1,000 square feet of space. He wants to write an equation to represent the relationship between the number of tigers, t, and the number of square feet of space, f. Based on this information, answer these questions. Write an equation to represent the relationship between the number of tigers, t, and the total number of square feet of space, f, if each tiger has 1,000 square feet of space.
Answers
f=t times 1000
so the relationship is f=1000t
Answer:
The equation that represents the relationship between the number of tigers and the total number of square feet of space is f = 1,000t.
Step-by-step explanation:
Fred's frog jumped 7 times as far as al's frog. The two frogs jumped a total of 56 inches. How far did Fred's frog jump?
Answers
A plumber finished there jobs on Tuesday. The first two only cost the owner the $45 trip fee because they book very little to complete. For the third job, the plumber charged the trip fee plus 6 times his hourly rate. If the plumber received a total of $303 for the day, what is the hourly rate
Answers
is -2.75 greater than -2.5 please explain your answer
Answers
Michael is riding his bicycle. He rides at a speed of 8 kilometers per hour for 12.8 kilometers. For how many hours does he ride?
Answers
20 point question!!! Please help me! Number 4.
Answers
14x = 180 - 26
14x = 154
x = 154 / 14
x = 11
answer
B. 11
In a study, a group of ten-year-old boys are fed doughnuts every morning for a week and then weighed to see how much weight they gained. which factor is the dependent variable?
Answers
In the stated experiment, the weight gain of the ten-year-old boys is the dependent variable. It is expected to change based on the consumption of doughnuts, which is the independent variable.
Explanation:
In the study described, where a group of ten-year-old boys are fed doughnuts every morning for a week and then weighed to see how much weight they gained, the dependent variable is the weight gain of the boys. The dependent variable is the outcome that is measured in an experiment or study. It is the factor that is expected to change as a result of changes to the independent variable, which in this case is the eating of doughnuts.
The dependent variable depends on the independent variable. For example, if the independent variable is the number of doughnuts eaten, the dependent variable (body weight) would likely change in response to the number of doughnuts consumed.
To illustrate this further, if we were to create a graph with the number of doughnuts eaten (independent variable) on the x-axis and the weight gained (dependent variable) on the y-axis, we could see if there is an exponential relationship or a different kind of correlation between these two variables. By understanding the dependent and independent variables, we can better interpret the results of studies and experiments.
Learn more about Dependent Variable here:https://brainly.com/question/33601434
#SPJ12
find the coordinates of G if f(1, 3.5) is the midpoint of Line GJ and J has coordinates (6, -2).
Answers
(6,-2)....x1 = 6 and y1 = -2
(x,y).....x2 = x and y2 = y
sub
(6 + x) / 2 , (-2 + y) / 2
first, we find the x term...and since (1,3.5) is the midpoint, our x term has to be set equal to 1 (the x coordinate in the midpoint)
(6 + x) / 2 = 1
6 + x = 1 * 2
6 + x = 2
x = 2 - 6
x = -4
now, we find y...and since (1,3.5) is the midpoint, our y term has to be set equal to 3.5
(-2 + y) / 2 = 3.5
-2 + y = 3.5 * 2
-2 + y = 7
y = 7 + 2
y = 9
so point G is (-4,9) <==
The average value of a given set of data is the mode.
True or False
Answers
For this case we have that by definition:
Mode: it is the value most frequently in a data distribution. This means that mode is the most repeated data in a sample or study. Mean: is the average of the data which can be found by adding all the numbers and then dividing by the number of values in the set.Answer:
False. The average value of a given set of dates is the mean.
Pedro has $50. He wants to go to Disney World after 12 weeks saving weekly . The trip will cost him $530 for the long weekend. How much does he need to save every week ?
Answers
On a town map, each unit of the coordinate plane represents 1 mile. three branches of a bank are located at a(−3, 1), b(2, 4), and c(4, −2). a bank employee drives from branch a to branch b and then drives halfway to branch c before getting stuck in traffic. what is the minimum total distance the employee may have driven before getting stuck in traffic? round to the nearest tenth of a mile if necessary. answer
Answers
To compute for distance from a to b:
Distance A = 4 miles, base of triangle formed between a and b
Distance B = 3 miles, height of triangle formed between a and b
Distance AB = (A^2 + B^2)^0.5 hypotenuse of triangle formed between a and b, or square root of (A^2 + B^2)
Distance AB = ((4)^2 + (3)^2)^0.5
Distance AB = (16 + 9)^0.5
Distance AB = (25)^0.5
Distance AB = 5 miles
To compute for distance from b to where bank employee got stuck
BC = distance from b to c
BC = 4 miles
Total distance driven by bank employee
= AB + 0.5(BC)
= 5 + 0.5(4)
= 5 + 2
= 7 miles, total distance driven by the bank employee
Answer:
The minimum total distance the employee may have driven before getting stuck in traffic is 9.0 miles.
Step-by-step explanation:
Given information: a(−3, 1), b(2, 4), and c(4, −2).
On a town map, each unit of the coordinate plane represents 1 mile.
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Distance between bank a and bank b is
[tex]ab=\sqrt{(2-(-3))^2+(4-1)^2}[/tex]
[tex]ab=\sqrt{(5))^2+(3)^2}[/tex]
[tex]ab=\sqrt{25+9}[/tex]
[tex]ab=\sqrt{34}[/tex]
Distance between bank b and bank c is
[tex]bc=\sqrt{(4-2)^2+(-2-4)^2}[/tex]
[tex]bc=\sqrt{(2)^2+(-6)^2}[/tex]
[tex]bc=\sqrt{4+36}[/tex]
[tex]bc=\sqrt{40}[/tex]
[tex]bc=2\sqrt{10}[/tex]
A bank employee drives from branch a to branch b and then drives halfway to branch c before getting stuck in traffic. It means total distance employee may have driven before getting stuck in traffic is
[tex]Distance=ab+\frac{1}{2}bc[/tex]
[tex]Distance=\sqrt{34}+\frac{1}{2}(2\sqrt{10})[/tex]
[tex]Distance=\sqrt{34}+\sqrt{10}[/tex]
[tex]Distance=8.99323[/tex]
[tex]Distance\approx 9.0[/tex]
Therefore the minimum total distance the employee may have driven before getting stuck in traffic is 9.0 miles.
Which of the following describes the correct process for solving the equation 3x + 6 = 21 and arrives at the correct solution? Divide both sides by 6 and then add 3. The solution is x = 5. Add 6 to both sides of the equation and then divide by 3. The solution is x = 9. Subtract 6 from both sides of the equation and then divide by 3. The solution is x = 8. Subtract 6 from both sides of the equation and then divide by 3. The solution is x = 5.
Answers
3x = 15...divide both sides by 3
x = 5
Which set of ordered pairs represents a function?
{(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)}
{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}
{(6, 8), (5, 2), (–2, –5), (1, –3), (–2, 9)}
{(–3, 1), (6, 3), (–3, 2), (–3, –3), (1, –1)}
Answers
so ur function is { (3,-1),(7,1),(-6,-1),(9,1),(2,-1)}.....because all the x values are different
Answer:
{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}
Step-by-step explanation:
{(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)} is not a function because 1 have two different images.
{(6, 8), (5, 2), (–2, –5), (1, –3), (–2, 9)} is not a function because -2 have two different images.
{(–3, 1), (6, 3), (–3, 2), (–3, –3), (1, –1)} is not a function because -3 have two different images.
{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)} is a function because all x values has one only image value.
Why does a negative times a negative equal a positive proof?
Answers
34 POINTS Someone please help me all i need is the answers please answer like this
for example lets says the answer for number one is 5 please write
1\ 5
PLEASE ANSWER ALL 1-13
I DO NOT NEED WORK JUST ANSWERS
you must rewrite into numbers
for example
5 less then 50
write: 3\ 5-50 (INSERT ANSWER HERE)
Answers
2\ 6+x=9 3
3\ 10=4+x 6
4\ 1/2(x-2)=3 2
5\ 3x=5+x 2 1/2
6\ 2x+4=6 1
7\ 8=2x-5 6 1/2
8\ x+3/2=7 5 1/2
9\ x+4=10 6
10\ 9=5x-3x 4 1/2
11\ 12=3x-4 5 1/3
12\ 2(x+1)=12 5
13\ 2x-3/2x=2 1
Answer:
1. x-5=2 7
2. 6+x=9 3
3. 10=4+x 6
4. 1/2(x-2)=3 2
5. 3x=5+x 2 1/2
6. 2x+4=6 1
7. 8=2x-5 6 1/2
8. x+3/2=7 5 1/2
9. x+4=10 6
10. 9=5x-3x 4 1/2
11. 12=3x-4 5 1/3
12. 2(x+1)=12 5
13. 2x-3/2x=2 1
I hope this helps!
Name one particular solution to 5x-(x+2)>-5(1+x)+3
Answers
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3/x-1-5*x/x+2-(1/4)=0
4.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using x as the denominator :
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
4.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
5.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using x as the denominator :
5.2 Adding up the two equivalent fractions
6.1 Adding a whole to a fraction
Rewrite the whole as a fraction using x as the denominator :
7.1 Pull out like factors :
3 - 6x = -3 • (2x - 1)
7.2 Adding up the two equivalent fractions
8.1 Find the Least Common Multiple
The left denominator is : x
The right denominator is : 4
appears in the factorization of: Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right} 2022 Product of all
Prime Factors 144 Number of times each Algebraic Factor
appears in the factorization of: Algebraic
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right} x 101
Least Common Multiple:
4x
8.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 4
Right_M = L.C.M / R_Deno = x
8.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
8.4 Adding up the two equivalent fractions
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
Now, on the left hand side, the 4x cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
12-17x = 0
9.2 Solve : -17x+12 = 0
Subtract 12 from both sides of the equation :
-17x = -12
Multiply both sides of the equation by (-1) : 17x = 12
Divide both sides of the equation by 17:
x = 12/17 = 0.706
The inequality 5x-(x+2)>-5(1+x)+3 simplifies to x>5/9 after combining like terms and isolating x. Therefore, any x greater than 5/9 is a solution, including x=1, which satisfies the inequality.
To find a particular solution to the inequality 5x-(x+2)>-5(1+x)+3, we first simplify both sides of the inequality:
5x - x - 2 > -5 - 5x + 3
This further simplifies to:
4x - 2 > -5x + 3
Next, we add 5x to both sides and add 2 to both sides to get:
9x > 5
Now, we divide both sides by 9 to isolate x:
x > 5/9
Therefore, any x greater than 5/9 is a particular solution to the original inequality. For example, x=1 is such a solution, as it satisfies the inequality:
5(1) - ((1)+2) > -5(1+(1)) + 3
That simplifies to:
5 - 3 > -5(2) + 3
2 > -10 + 3
2 > -7, which is true, thus confirming x=1 is a solution.
Which of these facts is used to prove that triangle ptr is similar to triangle qts? (1 point)?
Answers
What is meant by the term financial planning?
Answers
Have a great day hope i helped you if you have any more questions feel free to message me.