From the description of the function as we can see in the question, the function is a quadratic function.
What is a quadratic function?The term quadratic function refers to a type of function that is obtained from the equation ax^2+ bx + c =0.
A function in which as the domain values approach infinity, the range values approach infinity and as the domain values approach negative infinity, the range values approach infinity is a quadratic function.
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(06.01 MC)What is the value of the expression 2 + 32 ⋅ (3 − 1)?
20
22
23
32
Answer:
22
Step-by-step explanation:
3-1=2
2+3^2 x 2
3x3=9
2+9 x2
11x2=22
Find the value of x in the parallelogram below.
Answer:
102
Step-by-step explanation:
78 and x are adjacent angles.
Sum of adjacent angles is 180 in a parallelogram.
78 + x = 180
x = 180 - 78
x = 102
Answer:
102°
Step-by-step explanation:
A parallelogram is a special type of quadrilateral that has both the pair of opposite sides parallel and equal.78+x= 180( adjacent angles in a parallelogram)
x=180-78=102°
Find the center and radius of the circle represented by the equation below.
and yet another i hope you all had fun doing these problems
help me with math please
Answer:
B. x ~ 5
This is a right isosceles triangle
Which function is represented by the graph?
Answer:
cos(x-[tex]\frac{pi}{4}[/tex])-2
Step-by-step explanation:
The function is cos(x).
The horizontal shift is caused by (x- pi/4) so it would go to the right a distance of pi/4. If it was positive the entire thing would go left (x + pi/4).
The vertical shift is caused by the negative 2. Unlike horizontal shifts, negative moves it down and positive moves it up.
The x-axis is in radians. Desmos has option to change it to radian.
A company offers its employees free recreational activities and gym memberships. of the 200 employees, 95 employees registered for recreational activities, 80 employees registered for gym memberships, and 30 employees did not register at all. if an employee is chosen at random, what is the probability that the employee has registered for both recreational activities and gym memberships?
a.) 39/40
b.) 3/20
c.) 17/20
d.) 1/40
From the calculation, we can see that, the probability that an employee has registered for both recreational activities and gym memberships is 1/40.
What is probability?The term probability refers to the chance that an event will occur or not. The probability of an event always lies between zero and 1.
Given that;
Number that registered for recreational activities = 95
Number that registered for gym membership = 80
Number that did not register at all = 30
Total number of gym employees =200
Hence; 95 + 80 +30 =205
Number that registered for both recreational activities and gym membership
= 205 - 200 =5
The probability that an employee has registered for both recreational activities and gym memberships is; 5/200 = 1/40
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Which of the following graphs could be the graph of the function f(x)=0.003x^2(x^2-25)?
Answer:
See below
Step-by-step explanation:
You don't give any options, but here's the information you can get from just the equation itself:
Since your polynomial is a 4th-degree polynomial, I would expect to see 3 turning points at most. I would also expect to see zeroes at x=0, x=5, and x=-5Look for these characteristics and find the appropriate graph.
Which statements are true about function g?
Answer:
The domain is all real numbers
The y - intercept is 2
The function is decreasing over its entire domain
A student collecting money for a charity is donating $12 of his own money. He asks friends to give $5 each. Write a rule in function notation to find how much he will donate in all. Let p represent then number of friends who give money.
a. f(p) = 12p + 5
b. f(p) = 12 + 5p
c. f(p) = 12 + 5 + p
d. (p) = 17p
What is the radian measure of a central angle of a circle of radius 12 feet that intercepts an arc of length 3 feet ? Round to the nearest hundredth.
Group of answer choices
4 radians
0.25 radians
0.33 radians
36 radians
Answer: 0.25 radians
Step-by-step explanation:
On a coordinate plane, rhombus w x y z has points (negative 3, 1), (1, 4), (5, 1), and (1, negative 2). rhombus wxyz is graphed on a coordinate plane. what is the area of the rhombus? 24 square units 28 square units 32 square units 48 square units
The area of the rhombus is 24 square units.
What is a Rhombus?This has to do with the quadrilateral that each side are of the same length.
Calculations and Parameters:Given the data:
Length WY is 3 - (-5) = 8 units.
Length XZ is 4 - (-2) = 6 units.
Hence, the area of the rhombus WXYZ is 1/2 of the diagonal length:
1/2 * 8 * 6
= 24 square units.
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Answer:
A
Step-by-step explanation:
¾ - (-⅞)= i need help please solve
Answer:
1 5/8
Step-by-step explanation:
3/4 - -7/8
3/4 + 7/8
6/8 + 7/8
13/8 = 1 5/8
Answer:
1 5/8 or 13/8
Step-by-step explanation:
Remove parentheses.
[tex]\frac{3}{4}+\frac{7}{8}[/tex]
Find the Least Common Denominator (LCD) of [tex]\frac{3}{4},\frac{7}{8}[/tex] . In other words, find the Least Common Multiple (LCM) of 4,8.
Method 1: By Listing Multiples
List the multiples of each number.
Multiples of 4 : 4, 8, ...
Multiples of 8 : 8, ...
Find the smallest number that is shared by all rows above. This is the LCM.
LCM = 8
Method 2: By Prime Factors
List the prime factors of each number
Prime Factors of 4 : 2, 2
Prime Factors of 8 : 2, 2, 2
Find the union of these primes.
2, 2, 2
Multiply these numbers: 2 * 2 * 2 = 8 ---> This is the LCM.
LCM = 8
---> LCD = 8
Make the denominators the same as the LCD.
[tex]\frac{3\times 2}{4\times 2}+\frac{7}{8}[/tex]
Simplify. Denominators are now the same.
[tex]\frac{6}{8}+\frac{7}{8}[/tex]
Join the denominators.
[tex]\frac{6+7}{8}[/tex]
Simplify.
[tex]\frac{13}{8}[/tex]
Convert to mixed fraction.
[tex]1\frac{5}{8}[/tex]
Find the sum of 2/3 and it’s additive inverse
Answer:
0
Step-by-step explanation:
2/3 additive inverse is 2/3
-2/3+2/3 is neutral = zero
-2/3+2/3 = 0
You are looking over your grades in a class
and want to calculate your average score per
lesson.
Your lesson scores are: 75, 85, 90, 90, 100,
75, 80, 100, 90.
What is the mean? Round to the nearest %.
Answer:
An average test score is the sum of all the scores on an assessment divided by the number of test-takers.
Step-by-step explanation:
I forget
The two cylinders pictured at the right are congruent Haw
does the volume of the larger cone compare to the total volume of the
two smaller cones? Explain
They both have the equal volumes
JS
.
The volume of the larger cone is equal to the total volume of the two smaller cones
How to compare both cones?From the question, we have two equal cylinders.
This means that the cylinders have equal volume.
From the complete question, a large cone is placed in one of the cylinders, while two small cones are placed in the other.
Since the cylinders have equal volumes, then the volume of the large cone equals the sum of the volumes of the smaller cones.
Hence, the volume of the larger cone is equal to the total volume of the two smaller cones
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Please help me! Im so confused. If you could explain, too that would be great!!! <3
Answer:
the base length is 8 units
Step-by-step explanation:
You can use pythagorean theorem to solve this
A bag contains 5 red marbles, 5 white marbles, and 8 blue marbles. You draw 3 marbles out at random, without replacement. What is the probability that all the marbles are red
Answer:
15
----
153
15=6+3+1
153=18×17÷2
If you are in a great deal of debt but want to save for an emergency fund, you should
Save for the fund while paying down your debt
pay down your debt first
consider getting a second job to pay down your debt first
consider getting a second job, and save that job's money, and then pay down your debt
Answer:
option number 4 seems sensible!
11 pts and brainiest
(08.05)
Which of the following ordered pairs represents the solution to the system given below? (4 points)
x - 4y = 7
5x + y = 6
(3,-1)
(3,1)
(1,-3)
(-1,-3)
Answer:
[tex]x = 1.48 \: and \: y = - 1.38[/tex]
Step-by-step explanation:
[tex]first \: equation[/tex]
[tex]x - 4y = 7[/tex]
[tex]second \: equation[/tex]
[tex]5x + y = 6[/tex]
[tex]from \: equation \: 1 \\ make \: x \: the \: subject \: of \: formula \\ x = 7 + 4y[/tex]
[tex]x =7 + 4y \: {equation \: 3}[/tex]
[tex]substitutefor \: x \: in \: equation \: 2[/tex]
[tex]5x + y = 6 \\ 5(7 + 4y) + y = 6 \\ 35 + 20y + y = 6 \\ 35 + 21y = 6 \\ 21 y = 6 - 35 \\ 21y = - 29 \\ [/tex]
[tex]y = \frac{ - 29}{21} [/tex]
[tex]y = - 1.38[/tex]
[tex]subsitute \: for \: y \: into \: equation \: 3[/tex]
[tex]x = 7 + 4y \\ x = 7 + 4( - 1.38) \\ x = 7 - 5.52 \\ x = 1.48[/tex]
Pls help me?!? The Punta Birds Taxi Association is a business that provides taxi services to the city of Punta Birds and surrounding communities. Last year, their gross income totaled $25,000. They are required to pay 1.75% business tax on their annual gross income. How much tax are they required to pay to the Government?
Answer:
$437.50
Step-by-step explanation:
The amount of tax is found by multiplying the tax rate by the amount being taxed.
__
0.0175 × $25,000 = $437.50
They are required to pay a business tax of $437.50.
The graph of y = x³ + x² - 6x is shown. a) Estimate the x-coordinates of the turning points of the graph. X= Note: Please use a comma between your answers. b) Use the graph to find the solutions of x³ + x² - 6x = 0 X = Note: Please use a comma between your answers. -5 -4 3 -2 у 104 8- 6 4 2 -1 O -2- -4 60 -6- -8 -10- 1 2 3 X₁ 4 5
Answer:
Below.
Step-by-step explanation:
(a). The x estimations of the turning points are -1.8 and 1.1, according to the graph.
(b). Where the graph crosses the x axis are the solutions. x = -3, 0, and 2 are the values.
Which has least value when x=100?
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
Which expression has least value when x=100?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
Substitute 100 for x and solve:-
[tex]\bold{\dfrac{1}{100}}[/tex]
[tex]\bold{\dfrac{10}{100}}[/tex]
[tex]\bold{1-100=-99}[/tex]
[tex]\bold{10-100=-90}[/tex]
Since -99 is the smallest number here, the expression with the least value when x=100 is Option C - [tex]\checkmark\dashrightarrow\boxed{\boxed{1-x}}}\dashleftarrow\checkmark[/tex]
Good luck.- - -- - - - - - - - - - - - - - - - - - - -- - - - -
PLEASE HELP ME WITH THIS QUESTION
Answer:
75582
Step-by-step explanation:
The order of the correct problems does not matter, so the number of ways 8 of 19 problems can be correct is the number of combinations of 19 things taken 8 at a time:
C(n, k) = n!/(k!(n-k)!)
C(19, 8) = 19!/(8!(11!)) = 75582
What is the base of this figure?
Step-by-step explanation:
do you mean "base area" ?
and this is relative, friend how the object is placed on the ground.
the way it is depicted, the base is a triangle.
and the area of a triangle is
baseline × height / 2
in our case
11 × 4.3 / 2 = 23.65 cm²
Tara is making dinner for 9 people. she mixes 114 kilograms of rice with 500 grams of vegetables and 410 grams of meat. if all of the food is split evenly among the diners, what is the size of each serving?
a.240 grams
b.244 grams
c.250 grams
d.256 grams
Answer:
Step-by-step explanation:
Remark
An amount no 9 people could consume. 114 kg is a huge amount of cooked rice. I' going to give a solution that says the rice is 114 grams of rice and see what happens.
Givens
rice = 114 grams
veggies = 500 grams
meat = 410 grams
Solution
Add the givens
114
500
410
Total = 1024 grams
If 9 people are going to be present, (I assume that includes Tara), then each person will get 1024 / 9 = 113.8 which is none of the choices. There is something wrong with the problem. I would suggest you ask your teacher how this is done.
Answer
None of those given
The guidance department conducted a random survey of the student body and found that 16% of the students plan to volunteer at the school festival. Predict how many volunteer positions they should plan for a population of 950 students.
Answer:
152
Step-by-step explanation:
950 x 16% simple as that
If someone can answer all these ill give 100 points
Answer:
1. x = -6
2. x = 2
3. x = 6
4. x = 3
5. x = -5
6. x = -1
7. x = 0
8. x = 9
9. x = -4
10. x = 7
Step-by-step explanation:
1.
[tex]-10x = -8x + 12[/tex] [tex]-10x+8x=-8x+12+8x[/tex] [tex]-2x=12[/tex] [tex]-2x/-2=12/-2[/tex] [tex]x=-6[/tex]2.
[tex]9-5x+x=1-x+x[/tex] [tex]-4x+9=1[/tex] [tex]-4x+9-9=1-9[/tex] [tex]-4x=-8[/tex] [tex]-4x/-4=-8/-4[/tex] [tex]x=2[/tex]3.
[tex]-2x+16-x=x-2-x[/tex] [tex]-3x+16=-2[/tex] [tex]-3x+16-16=-2-16[/tex] [tex]-3x=-18[/tex] [tex]-3x/3=-18/-3[/tex] [tex]x = 6[/tex]4.
[tex](-4)(6x)+(-4)(-2)= -8x-40[/tex] [tex]-24x+8=-8x-40[/tex] [tex]-24x+8+8x=-8x-40[/tex] [tex]-16x+8=-40[/tex] [tex]-16x+8-8=-40-8[/tex] [tex]-16x=-48[/tex] [tex]-16x/-16=-48/-16[/tex] [tex]x=3[/tex]5.
[tex]37 - 8x = (-7)(x)+(-7)(-6)[/tex] [tex]-8x+37=-7x+42[/tex] [tex]-8x + 37 + 7x = -7x + 42 + 7x[/tex] [tex]-x+37=42[/tex] [tex]-x+37-37=42-37[/tex] [tex]-x=5[/tex] [tex]-x/-1=5/-1[/tex] [tex]x=-5[/tex]6.
[tex]6x+(-2)(2)+(-2)(8x) = 10 + 4x[/tex] [tex]6x-4-16x = 10 + 4x[/tex] [tex]-10x - 4 = 4x + 10[/tex] [tex]-10x - 4 -4x=4x+10-4x[/tex] [tex]-14x-4=10[/tex] [tex]-14x-4+4=10+4[/tex] [tex]-14x=14[/tex] [tex]-14x/-14=14/-14[/tex] [tex]x=-1[/tex]7.
[tex](-2)(x) + (-2)(1) = (2)(x) + (2)(-1)[/tex] [tex]-2x-2=2x-2[/tex] [tex]-2x-2-2x = 2x - 2 - 2x[/tex] [tex]-4x - 2 = -2[/tex] [tex]-4x-2+2=-2+2[/tex] [tex]-4x=0[/tex] [tex]-4x/-4=0/-4[/tex] [tex]x=0[/tex]8.
[tex](-3)(x)+(-3)(3)=(-6)(x)+(-6)(-3)[/tex] [tex]-3x-9=-6x+18[/tex][tex]-3x-9+6x=-6x+18+6x[/tex] [tex]3x-9=18[/tex] [tex]3x-9+9=18+9[/tex] [tex]3x=27[/tex] [tex]3x/3 = 27/3[/tex] [tex]x=9[/tex]9.
[tex]6x-36=(-4)(-2x)+(-4)(7)[/tex] [tex]6x-36= 8x -28[/tex] [tex]6x-36-8x = 8x - 28 - 8x[/tex] [tex]-2x-36=-28[/tex] [tex]-2x-36+36=-28+36[/tex] [tex]-2x = 8[/tex] [tex]-2x/-2=8/-2[/tex] [tex]x=-4[/tex]10.
[tex](2)(x)+(2)(1) = -2x + 30[/tex] [tex]2x+2=-2x+30[/tex] [tex]2x+2+2x=-2x+30+2x[/tex] [tex]4x+2=30[/tex] [tex]4x+2-2=30-2[/tex] [tex]4x=28[/tex] [tex]4x/4=28/4[/tex] [tex]x=7[/tex]
The perimeter of an isosceles triangle is 4 times the length of the shortest side. The longer sides are 4.5 ft longer than the shortest side. What is the length of each side of the triangle?
Answer:
Shorter side = 9 feetLonger sides = 13.5 feetStep-by-step explanation:
Let :
Shorter side = xLonger sides = x + 4.5Perimeter = 4xSolving
2(x + 4.5) + x = 4x2x + 9 + x = 4xx = 9 feetSolution
Shorter side = 9 feetLonger sides = 13.5 feetAnswer:
short side: 9 ftlonger sides: 13.5 ftStep-by-step explanation:
The given information lets us write two equations relating the side lengths.
__
setupLet L and S represent the lengths of the longer and shorter sides. We are told ...
S + L + L = 4S . . . . . the perimeter is 4 times the short side length
L = 4.5 +S
__
solutionUsing the second equation to substitute for L in the first equation, we have ...
S +2(4.5 +S) = 4S
9 = S . . . . . . . . . . . . . simplify, subtract 3S
L = 4.5 +S = 13.5
The shortest side is 9 ft; the longer sides are 13.5 ft.
__
Additional comment
The perimeter is 36 ft.
Justify each step in solving the equation 2 + 3 = 4( − 6) by writing a reason for each statement
If the value of x will be 11 degrees. Then the measure of angle ∠AEB will be 72 degrees.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Two lines AC and BD are intersecting each other at point E.
The angle ∠AEB = 7x - 5 and the angle ∠CED = 2(4x - 8).
Then the measure of angle ∠AEB will be
We know the angle ∠AEB and ∠CED are the vertically opposite angle. Then they both are equal.
∠AEB = ∠CED
7x - 5 = 2 (4x - 8)
7x - 5 = 8x - 16
16 - 5 = 8x - 7x
x = 11
Then the measure of angle ∠AEB will be
∠AEB = 7x - 5
∠AEB = 7 (11) - 5
∠AEB = 77 - 5
∠AEB = 72°
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