HELP!!! WILL MARK BRAINLIEST!!!
The following graph describes function 1, and the equation below it describes function 2. Determine which function has
a greater maximum value, and provide the ordered pair.
Function 1
Function 2
f(x) = -x2 + 2x - 3
Function 1 has the larger maximum at (1,4).
Function 1 has the larger maximum at (4,1).
Function 2 has the larger maximum at (1, -2).
Function 2 has the larger maximum at (-2, 1).
Answers
Answer:
the answer is function 1 has the larger max. at (4,1)
Step-by-step explanation:
draw function 2 : the vertex is (1,-2)
the vertex of function 1 is (4,1)
The function 1 has a greater maximum value than function 2, and the ordered pair is (1,4).
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
We are given that;
f(x) = -x2 + 2x - 3
Now,
To find the maximum value of a function, we can use the vertex form of a quadratic equation, which is y=a(x−h)2+k
, where (h,k) is the vertex of the parabola. The maximum value of the function is the y-coordinate of the vertex.
For function 1, we can rewrite it as [tex]$$f(x) = -(x-1)^2 + 4$$[/tex]
by completing the square. This means that the vertex of function 1 is (1,4) and the maximum value is 4.
For function 2, we can rewrite it as
[tex]$$f(x) = -\frac{1}{4}(x+2)^2 - 2$$[/tex]
by completing the square. This means that the vertex of function 2 is (−2,−2) and the maximum value is -2.
Therefore, by the given function answer will be (1,4).
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Related Questions
The perimeter of a triangle is 195 cm. The ratio of the measures of the sides is 3:5:7.
Find the measure of each side.
Shortest side?
Median side?
Longest side?
Answers
Answer:
Shortest side = 39
Median side = 65
Longest side = 91
Step-by-step explanation:
So here we have 3:5:7
And we keep adding on to it.
Find the value of y.
m∠1 = 2y + 8
Answers
Answer:
HERE IS YOUR ANSWER.
HOPE IT HELPS.
Find the measure of ∠COB in the figure. answers: A) 24° B) 48° C) 72° D) 132°
Answers
Answer: 48
Step-by-step explanation: COB and DOA are vertical angles. This means the two of them have the same measure. Because we know the measuremen of DOA, we can easily find the measuremen for COB since these angles are the same, so COB is 48 degrees.
Answer:
B
Step-by-step explanation:
Solve for x: 3.2x - 7.4 = -7.8x + 3.6
1.
1
2.
0.8
3
3.8
4.
0.5
Answers
Answer:
The value of x is 1.
Step-by-step explanation:
You have to move all the x-terms to one side and the unrelated values to other side :
[tex]3.2x - 7.4 = - 7.8x + 3.6[/tex]
[tex]3.2x + 7.8x = 3.6 + 7.4[/tex]
Next, you have to add up :
[tex]11x = 11[/tex]
Lastly, you have to divide it by 11 :
[tex]x = 11 \div 11[/tex]
[tex]x = 1[/tex]
If x^2= 12x – 7 is solved by completing the square, one of the steps in the process is
Answers
Answer:
Just pick one step below I guess...
Step-by-step explanation:
I'll just solve it because I don't know which step you're looking for.
Move everything except for the 7 to one side:
[tex]x^2-12x=-7[/tex]
Now take the square of half of the coefficient for the x and add it to both sides.
[tex]x^2-12x+36=29[/tex]
You can see that the side can now be factored.
[tex](x-6)^2=29[/tex]
[tex]x-6=\sqrt{29}[/tex]
[tex]x=\sqrt{29}-6, x=-\sqrt{29} -6[/tex]
The solutions to the quadratic equation are:
[tex]x=6 -\sqrt{29}[/tex] or [tex]x=6 +\sqrt{29}[/tex]
The given equation is:
[tex]x^2=12x-7[/tex]
The equation can be re-written as:
[tex]x^2 - 12x = -7[/tex]
Add [tex]6^2[/tex] to both sides of the equation
[tex]x^2-12x+6^2=-7+6^2\\\\x^2-12x+6^2=-7+36\\\\[/tex]
The expression can be further simplified as:
[tex](x-6)^2=29[/tex]
Take the square root of both sides
[tex]x-6=\pm\sqrt{29} \\\\x=6 \pm\sqrt{29}[/tex]
The solutions to the quadratic equation are:
[tex]x=6 -\sqrt{29}[/tex] or [tex]x=6 +\sqrt{29}[/tex]
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What Is The Value Of X In The Following Equation? 3x-4(x+1)+11=0
A. 8
B. 7
C. 15
D. 22
Answers
Answer:
B) 7
Step-by-step explanation:
Subtract 11 by both sides
3x - 4(x + 1) + 11 - 11 = 0 - 11
Simplify
3x - 4(x + 1) = -11
Distribute 4
3x - 4x - 4 = -11
Add 4 to both sides and combine like terms
-x - 4 + 4 = -11 + 4
-x = -7
Divide both sides by -1
x = 7
Carlos drew a triangle and measured two of the sides to be 8 inches and 12 inches. What has to be true of the third side?
A.
It is equal to 4 inches.
B.
It measures less than 4 inches.
C.
It measures more than 4 inches.
D.
It is 2.5 inches.
Answers
Answer:
C
Step-by-step explanation:
The triangular inequality states that a+b>c, b+c>a, a+c>b. So, 4+8=12, so a is not possible. Neither is b. D is not true either. It has to be c.
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The third side of the triangle measures more than 4 inches.
What are the properties of triangle for it's side?The sum of the length of the two sides of a triangle is greater than the length of the third side. The difference between the two sides of a triangle is less than the length of the third side.
According to the given question we have,
Length of the two sides of a triangle are 8 inches and 12 inches.
Let the length of the third side be x inches.
Now, according to the properties of a triangle
"The difference between the two sides of a triangle is less than the length of the third side".
Therefore,
12 - 8 < x
⇒ 4 < x
⇒ The third side of the triangle is greater than 4 inches.
Hence, the third side of the triangle measures more than 4 inches.
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The equation sin(25) = 9/C
can be used to find the length of
АВ what is the length of AB round to the nearest tenth
Answers
Answer:
21.3Step-by-step explanation:
The equation sin(25) = 9/C can be used to find the length of АВ means
C sin the length of side AB:
sin(25) = 9/C ⇒ C = 9÷sin(25) = 21.295814248372
→ C rounded to the nearest tenth is 21.3
10) Can a triangle have two 90° angles?
Answers
Answer:
no
Step-by-step explanation:
a triangle can only have one right angle or it wouldn't be a triangle
Answer: No
Step-by-step explanation:
Only Quadrilaterals have 2 or more 90° Because 90° means an angle which looks like L and it is impossible for triangle to have 2 90°
Identify each x-value at which the slope of the tangent line to the function f(x) = 0.2x2 + 5x − 12 belongs to the interval (-1, 1).
Answers
Answer:
slope of the tangent
[tex]\frac{d y}{d x} = 0.2(2 x) + 5 (1)[/tex]
The slope of the tangent to the interval (-1 ,1)
m = 4.6 ,5, 5.4
Step-by-step explanation:
Step(i):-
Given function is f(x) = 0.2 x² + 5 x − 12
Slope of the tangent formula
[tex]m = \frac{d y}{d x}[/tex]
Let y = f(x) = 0.2 x² + 5 x − 12 ...(i)
Differentiating equation(i) with respective to 'x' , we get
[tex]\frac{d y}{d x} = 0.2(2 x) + 5 (1) -0[/tex]
let x=-1
[tex]m = \frac{dy}{dx} = 0.2 (2 X -1) +5 = 4.6[/tex]
let x=0
m = 5
let x=1
[tex]m = \frac{dy}{dx} = 0.2 (2 X 1) +5 = 5.4[/tex]
conclusion:-
slope of the tangent
[tex]\frac{d y}{d x} = 0.2(2 x) + 5 (1)[/tex]
The slope of the tangent to the interval (-1 ,1)
m = 4.6 , 5, 5.4
The x-values at which the slope of the tangent line to the function f(x) belongs to the interval (-1, 1) are x ∈ (-15, -10).
What is the function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
To find the x-values at which the slope of the tangent line to the function f(x) = 0.2x² + 5x − 12 belongs to the interval (-1, 1), we need to find the x-values at which the derivative of the function f(x) has a value within that interval.
The derivative of f(x) is given by f'(x) = 0.4x + 5. Therefore, we can find the x-values at which f'(x) belongs to the interval (-1, 1) by solving the inequality 0.4x + 5 ∈ (-1, 1).
To solve this inequality, we can rewrite it as follows:
-1 < 0.4x + 5 < 1
-1 - 5 < 0.4x < 1 - 5
-6 < 0.4x < -4
Dividing both sides of the inequality by 0.4, we get:
-15 < x < -10
Therefore, the x-values for which the slope of the tangent line to the function f(x) lies x ∈ (-15, -10).
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a piano teacher has 4 1/2 hours available to teach in a night. each lesson will last 1 1/2 hours. how many lessons can the teacher schedule in a night?
Answers
Answer:
1 1/2+1 1/2=3+1 1/2= 4 1/2
3 clases in 1 night
Answer:She can do 3 lessons in one night
Step by step explanation:1 1/2+1 1/2=3+1 1/2= 4 1/2 just some simple additio,
the answer is not b
Answers
Answer: A
Hope it's help
This composite figure is made of two identical pyramids
attached at their bases. Each pyramid has a height of 2
units.
Which expression represents the volume, in cubic units, of
the composite figure?
(16200.25)2))
1530.2574)
• 2{}(5)10.25)2))
21315360.2574)
0.25
O
Answers
Answer:
C. 2
Step-by-step explanation:
hope it answers your question ! if not lmk
Given the following diagram, find the required measure.
Given: /llm
m 1 = 140°
m 3 = 50°
21
m 5 =
40
90
50
140
Answers
Answer:
∠ 5 = 40°
Step-by-step explanation:
∠ 1 and ∠ 2 are adjacent angles and supplementary, thus
∠ 2 = 180° - ∠ 1 = 180° - 140° = 40°
∠ 5 and ∠ 2 are alternate angles and congruent , thus
∠ 5 = 40°
14) The ions Sr2+and PO43- form a salt with the formula
A) Sr2(PO4)2
O B) Sr(PO4)2
C) SrP04
D) Sr2P04
E) Sr3(PO4)2
Answers
Answer:
E
Step-by-step explanation:
Sr2+ po43- exchange the charges and write the salt
If f(x)= 3x² – 2, find (-3)*f(x)
Answers
Answer:
-9x^2 +6
Step-by-step explanation:
f(x)= 3x² – 2
-3 f(x) = -3 * (3x² – 2)
Distribute
= -9x^2 +6
The length of a rectangle is twice it width. The perimeter of the rectangle is 36cm. Calculate the area of the circle.
Answers
2y= length
2(L+W) = perimeter
36=2(y+2y)
36=2(3y)
36=6y
y=6cm
Width of rectangle= 6cm
Length of rectangle= 2y=2×6 = 12
Area of rectangle= L×W = 12×6 =72cm^2
Answer: 72cm^2
Answer:
72cm^2
Step-By-Step Explanation
36=2(y+2y)
36=2(3y)
36=6y
y=6cm
Width of rectangle= 6cm
Length of rectangle= 2y=2×6 = 12
Area of rectangle= L×W = 12×6 =72cm^2
1a Find the greatest common factor ( GCF ) of 6 and 9
1b Use the greatest common factor ( GCF ) you found in 1a
to simplify the expression 6b - 9k
Answers
Answer:
the GCF is 3 so 2b - 3k
Step-by-step explanation:
Answer:
1a) the GCF of 6 and 9 is 3.
1b) -9
Step-by-step explanation:
1a) The greatest commons factor is the greatest number that divides two numbers. 3 is the largest number that goes into both 9 and 6 evenly. Therefore, 3 is the GCF.
1b) 6*3=18 and 9*3=27
18-27=-9
If two lines are crossed by a transversal and corresponding angles are equal, the lines are___.
parallel
perpendicular
similar
congruent
Answers
Answer:
parallel
Step-by-step explanation:
Corresponding angles are those which are in the same relative place between the cross-line and the parallel axes. You will see that the (corresponding) angles are identical if and only if the lines are parallel.
hope this helped!
Helppppppppp please on this
Answers
Answer:
23 square units
Step-by-step explanation:
I just counted them because the area is the inside or the shaded region but your supposed to find the x and y values of each box multiply them and add them all up to get the answer
Answer:
The area is 23
Step-by-step explanation:
I just counted I didn't know what else to do.
1/5X-3=4 solve the equation
Answers
Answer:
x=35
Step-by-step explanation:
Add 3 to both sides
x/5 = 7
Multiply by 5
x=35
Answer:
x = 25/3 = 8.333 I got that
Step-by-step explanation:
In 2002, the Centers for Disease Control and Prevention (CDC) reported that 8% of women married for the first time by their 18th birthday, 25% married by their 20th birthday, and 76% married by their 30th birthday. Based on these data, what is the probability that in a family with two daughters, the first and second daughter will be married by the following ages? (Enter your answers to four decimal places.
Answers
Question:
In 2002, the Centers for Disease Control and Prevention (CDC) reported that 8% of women married for the first time by their 18th birthday, 25% married by their 20th birthday, and 76% married by their 30th birthday. Based on these data, what is the probability that in a family with two daughters, the first and second daughter will be married by the following ages? (Enter your answers to four decimal places.) (a) 18 years of age (b) 20 years of age (c) 30 years of age
Answer:
A.) 0.0064
B.) 0.0625
C.) 0.5776
Step-by-step explanation:
Given the following :
Married by 18th birthday = 8% = 0.08
Married by 20th birthday = 25% = 0.25
Married by 30th birthday = 76% = 0.76
In a family with two(2) daughters :
P(First daughter will be married by 18) = 0.08
P(second daughter will be married by 18) = 0.08
P(1st and 2nd married by 18) = (0.08×0.08) = 0.0064
B.)
P(First daughter will be married by 20) = 0.25
P(second daughter will be married by 20) = 0.25
P(1st and 2nd married by 20) = (0.25×0.25) = 0.0625
C.)
P(First daughter will be married by 30) = 0.76
P(second daughter will be married by 30) = 0.76
P(1st and 2nd married by 30) = (0.76×0.76) = 0.5776
The track team has a goal of running at least 21 miles per week during practice. The team meets for practice 4 days a week. Write and solve an inequality to show how many miles per practice they must run. Graph the solution. Please answer!
Answers
Answer:
5.25 miles per practice
Step-by-step explanation:
you have to divide 21 by 4 and you 5.25 you can also use a calculator to solve this problem out
BRAINLIEST round to one decimal place
Answers
Answer:
6 or 5.8 without rounding
Step-by-step explanation:
The other side of the triangle is 5.8 and they are the same length so Ab would be the same length as AC.
5.8 rounded is ^ because 8 is above the number 5 and not below the number 4 so you round up and doesnt stay the same
Hope this helps :3
Answer:
The answer is 5.4
Step-by-step explanation:
if you divide 5.8 by 3 you would get 1.9333 then you would multiply that by 2.8 to get 5.41
Carley’s progress from a 5-kilometer race is displayed in the graph below.
Based on the graph, if Carley runs in a 4-kilometer race and she maintains the same pace, how many minutes will it take her to run 4 kilometers?
50 minutes
45 minutes
35 minutes
20 minutes
Answers
Answer:
35 minutes
Step-by-step explanation:
What is 7/8 + 1/2 as a fraction
Answers
Answer:
11/8 is the answer as a fraction
The fraction value of 7/8+1/2 is 11/8
What is fraction ?
Fraction is a numerical value which has two parts. The bottom part is called denominator which indicates the no. of parts in which the whole is divided. And the top part is called numerator which indicates how many parts of the fraction are selected.
Example : 2/3 , where 2 is the numerator and 3 is the denominator.
What is the required fraction ?The given sum is, [tex]\frac{7}{8}+\frac{1}{2}[/tex]
Taking LCM of 8 & 2, which is 8,
= [tex]\frac{(7*1)+(1*4)}{8}[/tex]
= [tex]\frac{7+4}{8}[/tex]
= [tex]\frac{11}{8}[/tex]
∴ The required fraction is [tex]\frac{11}{8}[/tex]
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Aby likes larger apple slices. She gets 6 slices from each apple. Complete the table that represents the proportional relationship.
Answers
Answer:
A=0 B=6 C=12
Step-by-step explanation:
If she gets 6 slices from each apple, then for A(which is 0 apples) you would get 0 slices. For B (which is 1 apple.) you would get 6 slices and for C (which is two apples) you would get 12 slices. I hope this helps!
Answer:
a=0
b=6
c=12
Step-by-step explanation:
4:24 is one of the ratios
lets use that as an example
divide both sides by 4 and you get
1:6
now lets use 3:18
divide both sides by 3 and you get
1:6
Now if you have 0 apples you have 0 slices
if you have one apple you get 6 slices...
because of the ratio 1:6 one apple=6 slices
now if you have 2 apples you have to times 1:6 by 2 which gives us 2:12 meaning you get 12 slices
help willl give brainliest
Answers
Answer: 2/9
Step-by-step explanation:
The probability of landing on blue and green in any order is 2/9 because we have two probable colors and nine total possibilities.
If LP = 15 and PR = 9, find LR. Explain.
Answers
Answer:
24
Step-by-step explanation:
LP = 15 on one side
LR= 9 on the other side
____________________|____________|
P L R
add them and PR is 24
15+9= 24
For the linear equation y=-10+5x the x intercept is ?
Answers
Answer:
(2, 0)
Step-by-step explanation:
X intercept is when y = 0.
0 = -10 + 5x
5x = 10
x = 2