Answer:
A: -21
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
In this question:
Quadratic function:
[tex]g(x) = x^2 - 6x - 12[/tex]
So [tex]a = 1, b = -6, c = -12[/tex].
Minimum value:
This is the y-value of the vertex. So
[tex]\Delta = b^2-4ac = (-6)^2 - 4(1)(-12) = 36+48 = 84[/tex]
[tex]y_{v} = -\frac{\Delta}{4a} = -\frac{84}{4} = -21[/tex]
The minimum value is -21, and the correct answer is given by option A.
hat is equivalent to but different from 7/13
Answer and Step-by-step explanation:
The answer is [tex]\frac{14}{26}[/tex].
This fraction is a multiple of [tex]\frac{7}{13}[/tex].
#teamtrees #PAW (Plant And Water)
Janet and Patrick surveyed a total of 219 people. Out of the 137 girls who were surveyed, 28 said summer was their favorite season and 12 said that winter was their favorite.
The results showed 22 boys said that spring was their favorite season and 8 boys said winter was their favorite.
A total of 45 people said that summer was their favorite season and a total of 74 people said that fall was their favorite season.
In this activity, you will construct two-way frequency tables to help Janet and Patrick analyze the data they gathered from their survey.
Part A
Create a two-way frequency table to represent the results of the survey by entering the appropriate data in each box.
Answer: See figure 2 in the diagram below for the table.
==========================================================
Explanation:
The steps are fairly lengthy to explain in words, but the process is fairly straightforward. Start with figure 1 in the diagram below. The letters A through O represent the steps you'll take to replace them. For instance, you'll replace A with 219 since that's the grand total. Then B is replaced with 137 since we're told that 137 girls were surveyed. Then C gets replaced with 219-137 = 82, and so on. Use arithmetic (adding and subtracting) to gradually replace each letter with the proper number as figure 2 shows. The alphabetical order directly corresponds to the order in which the values are given by your teacher (eg: 219 is first, then 137 next, and so on).
Let me know if you get stuck on any one step, or need me to go into more detail.
A frequency table is a list of objects with the frequency of each item shown in the table. The frequency table is attached with the answer below.
What is a frequency table?The frequency of an occurrence or a value is the number of times it happens. A frequency table is a list of objects with the frequency of each item shown in the table.
The steps are fairly lengthy to explain in words, but the process is fairly straightforward. Start with figure 1 in the diagram below. The letters A through O represent the steps you'll take to replace them. For instance, you'll replace A with 219 since that's the grand total.
Then B is replaced with 137 since we're told that 137 girls were surveyed. Then C gets replaced with 219-137 = 82, and so on. Use arithmetic (adding and subtracting) to gradually replace each letter with the proper number as figure 2 shows.
The alphabetical order directly corresponds to the order in which the values are given by your teacher (eg: 219 is first, then 137 next, and so on).
Let me know if you get stuck on any one step, or need me to go into more detail.
To know more about the frequency table follow
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What is the simplified base of the function f(x) = One-fourth (Root Index 3 StartRoot 108 EndRoot) Superscript x?
Answer:
The base is: [tex]3 \sqrt[3]{4}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{4}(\sqrt[3]{108})^x[/tex]
Required
The base
Expand 108
[tex]f(x) = \frac{1}{4}(\sqrt[3]{3^3 * 4})^x[/tex]
Rewrite the exponent as:
[tex]f(x) = \frac{1}{4}(3^3 * 4)^\frac{1}{3}^x[/tex]
Expand
[tex]f(x) = \frac{1}{4}(3^3^\frac{1}{3} * 4^\frac{1}{3})^x[/tex]
[tex]f(x) = \frac{1}{4}(3 * 4^\frac{1}{3})^x[/tex]
Rewrite as:
[tex]f(x) = \frac{1}{4}(3 \sqrt[3]{4})^x[/tex]
An exponential function has the following form:
[tex]y=ab^x[/tex]
Where
[tex]b \to base[/tex]
By comparison:
[tex]b =3 \sqrt[3]{4}[/tex]
So, the base is: [tex]3 \sqrt[3]{4}[/tex]
Answer:
B
Step-by-step explanation:
good luck
A label printer prints 9 pages of labels in 2.0 seconds. How long will it take to print 396 pages of labels?
Answer:
88 or 1 minute and 28 seconds
Step-by-step explanation:
396/9= 44 times the two seconds it takes to print is 88
Answer:
1782
Step-by-step explanation:
9 divided by 2.0
=4.5
4.5×396
=1782
Select the TRUE statement for completely random design.
a.)The experimental units are assigned randomly to exactly one control group and one treatment group.
b.)The experimental units are assigned randomly to one or more control groups and exactly one treatment group.
c.)The experimental units are assigned randomly to one or more control groups and one or more treatment groups.
d.)The experimental units are assigned randomly to exactly one control group and one or more treatment groups.
Answer:
d.)The experimental units are assigned randomly to exactly one control group and one or more treatment groups
Step-by-step explanation:
Completely randomized design can be regarded as a type of experimental design in which the experimental units are assigned randomly for different treatments. This experimental design is utilized in cases whereby experimental units are seen to be “uniform" this implies that no uncontrolled factor in the experiment. completely randomized designs are engaged in studying effects of one primary factor by ignoring other nuisance variables it perform comparison of values of a response variable taking into account of the different levels of that primary factor. It should be noted that in completely random design, the experimental units are assigned randomly to exactly one control group and one or more treatment groups
solve the inequality
2(4 x + 1)< 3 (2 x - 3)
Answer:
[tex]2 (4x + 1) < 3(2x - 3) \\8x + 2 < 6x -9 \\8x - 6x < -9 - 2\\2x < -11\\\\x< - \frac{11}{2}[/tex]
Answer:
x> - 11/2
Step-by-step explanation:
See image below:)
PLEASE HELP!!!! WHOEVER GETS IT RIGHT GETS BRAINLIEST !!!
Answer:
<GBC = 7x + 45° ( vertically Opposite angles)
Now let's get the value of x
10x-3 = 7x + 45 (corresponding angles)
10x - 7x = 45 + 3
3x = 48
x= 48/3
x=16°
<GBC = 7(16) + 45
=157°
On a coordinate plane, triangle B C D has points (negative 4, 1), (negative 2, 1), (negative 4, 3). Triangle B prime C prime D prime has points (negative 1, negative 4), (negative 1, negative 2), (negative 3, negative 4). Triangle BCD is rotated counterclockwise to form triangle B’C’D’. What is the angle of rotation? 45° 90° 180° 360°
9514 1404 393
Answer:
90° CCW
Step-by-step explanation:
The transformation from B to B' is ...
B(-4, 1) ⇒ B'(-1, -4)
(x, y) ⇒ (-y, x) . . . . . matches the transformation for 90° CCW
Answer:
90 degrees
Step-by-step explanation:
can anybody help me? I'll give brainlest
9514 1404 393
Answer:
65°, 35°, 90°, 115°, 80°
Step-by-step explanation:
There are 9 of the longer tick marks in 90°, so each of them represents 10°. The shorter tick marks are halfway between, so are on multiples of 5°. This lets us make a list of the angle value associated with each of the letters.
A: 0 or 180
B: 65 or 115
C: 90
D: 145 or 35
E: 180 or 0
__
Using this list, we can find the measure of each angle by finding the positive difference of the corresponding angle values associated with each of its rays.
arc AOB = 65 -0 = 65°
arc DOE = 35 -0 = 35°
arc AOC = 90 -0 = 90°
arc EOB = 115 -0 = 115°
arc DOB = 145 -65 = 80°
Fig. 14.36 3 A concrete floor is 4 m long and 3 m wide. Calculate: a the area of the floor, b the cost of making the floor if concrete is N2 400 per m². What is the area, in m², of the floor of a hall that is 6 metres square? (6 metres square means 6 m by 6 m.)
Answer:
Step-by-step explanation:
Area of floor = length * width
= 4 * 3
= 12 sq.m
Cost of making the floor = 12 * 2400
= N 28800
Given a mean of 75 and a standard deviation of 7, how many students out of 500
would score higher than 89?
Answer:
230
Step-by-step explanation:
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What is the simplified base of the function f(x) = One-fourth (Root Index 3 StartRoot 108 EndRoot) Superscript x?
Answer:
The base is: [tex]3 \sqrt[3]{4}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{4}(\sqrt[3]{108})^x[/tex]
Required
The base
Expand 108
[tex]f(x) = \frac{1}{4}(\sqrt[3]{3^3 * 4})^x[/tex]
Rewrite the exponent as:
[tex]f(x) = \frac{1}{4}(3^3 * 4)^\frac{1}{3}^x[/tex]
Expand
[tex]f(x) = \frac{1}{4}(3^3^\frac{1}{3} * 4^\frac{1}{3})^x[/tex]
[tex]f(x) = \frac{1}{4}(3 * 4^\frac{1}{3})^x[/tex]
Rewrite as:
[tex]f(x) = \frac{1}{4}(3 \sqrt[3]{4})^x[/tex]
An exponential function has the following form:
[tex]f(x)=ab^x[/tex]
Where
[tex]b \to base[/tex]
By comparison:
[tex]b =3 \sqrt[3]{4}[/tex]
So, the base is: [tex]3 \sqrt[3]{4}[/tex]
A metal square used in an electronic device must have a thickness of 0.02 inch, with an allowable error of 1 percent. What is the GREATEST allowable thickness of the metal square?
A. 0.0002 inches
B. 0.02 inches
C. 0.0202 inches
D. 0.03 inches
Answer:
A.0.0002 inch
Step-by-step explanation:
0.02 inch×1%=0.02 inch×1÷100
=0.0002 inch
If A metal square used in an electronic device must have a thickness of 0.02 inch, with an allowable error of 1 percent, the GREATEST allowable thickness of the metal square is 0.0202 inches. So, correct option is C.
The allowable error for the thickness of the metal square is given as 1 percent. To determine the greatest allowable thickness, we need to find 1 percent of the given thickness and subtract it from the given thickness.
Given thickness: 0.02 inches
1 percent of 0.02 inches = (1/100) * 0.02 inches = 0.0002 inches
Subtracting the 1 percent allowable error from the given thickness:
0.02 inches ± 0.0002 inches = 0.0198 inches or 0.0202 inches
Therefore, the greatest allowable thickness of the metal square is 0.0198 inches or 0.0202 inches.
Among the answer choices provided:
A. 0.0002 inches is the 1 percent allowable error, not the greatest allowable thickness.
B. 0.02 inches is the given thickness.
C. 0.0202 inches is the greatest allowable thickness.
D. 0.03 inches is greater than the greatest allowable thickness.
Hence, the correct answer is C. 0.0202 inches.
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Help
Question 1:
Are x2 and x like terms?
Are 4x and 2x like terms?
Are 2x and 2y like terms?
Are 3x2 and 6x2 like terms?
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
- [tex] \large{ \boxed{ \tt{LIKE \: AND \: UNLIKE \: TERMS}}}[/tex]
Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted. For instance : We can say 4y and 5y are like terms as they have the same base i.e y Unlike terms are those which have the different base. Unlike terms can neither be added nor subtracted. For instance : We can say 4x and 6y are unlike terms as they have the different base i.e 4x has the variable x while 6y has the variable y.[tex] \large{ \tt{❊ \: LET'S \: START}} : [/tex]
No , x² and x are not like terms since they don't have same base.Yes , 4x and 2x are like terms since they have the same base.No , 2x and 2y are not like terms since they have different base. Yes , 3x² and 6x² are like terms since they have the same base .[tex] \tt{✺ \: BE \: IN \: LOVE \: WITH \: YOUR \: LIFE !\: ♪}[/tex]
۵ Hope I helped ! ツ
☼Have a wonderful day / evening ! ☃
# StayInAndExplore ! ☂
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Determine the postulate or theorem that would determine the pair of triangles to be congruent
Nñ
C
d.
- SSS
:: SAS
- ASA
# AAS
: HL
.: Cannot be determined
Answer:
HLSSSAASSASStep-by-step explanation:
Right angle with equal corresponding sides and a common sideTwo equal sides with a common sideEqual angle and side with vertically opposite anglesTwo equal sides with vertically opposite anglesA Ferris wheel completes 7 revolutions in 14 minutes. The radius of the Ferris wheel is 30 feet.
What is the linear velocity of the Ferris wheel in inches per second?
Enter your answer, rounded to the nearest tenth, in the box.
The linear velocity of the Ferris wheel in inches per second is 18.9 inches/second.
What is the speed of an object?The speed of an object is the ratio of the total distance covered by the object and total time taken by the object to complete that distance.
Here, the radius of the Ferris wheel is (r) = 30 feet.
The circumference of the wheel is
= 2πr
= 2 × π × 30 feet
= 60π feet
Here, the Ferris wheel completes 7 revolutions.
Therefore, it covers the linear distance of
= 7 × circumference of the wheel
= 7 × 60π feet
= 420π feet
Now, the Ferris wheel took 14 minutes to complete 420π feet.
Therefore, the speed of the wheel is
= (420π/14) feet/minute
= 30π feet/minute
= (30π × 12)/60 inches/second
= 6π inches/second
= 18.9 inches/second
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Do 7, 8, and 9 form a right triangle?
Answer:
No, 7, 8 and 9 do not form a right triangle.
Step-by-step explanation:
Assume that the shorter two side lengths are 7 and 8. Does 7^2 + 8^2 add up to 9^2? Does 49 + 64 add up to 81? NO.
No, 7, 8 and 9 do not form a right triangle.
Please help me with this question ☝️☝️
Answer:
[tex]\frac{-4}{5}[/tex]
Step-by-step explanation:
[tex]\frac{-4}{15}* 3 = -4/5[/tex]
Which of the following questions are statistical? A. How many hours did you sleep last night. B. How many hours did the students in your class sleep last night. C. How many hours did your friend spend reading last night. D. How many hours did your teacher spend reading on Saturday.
After 4 pm, the rides are 50% off. If the price is $7, how much will it cost after 4 pm?
Answer:
answer is 3.5 dollar
dividing 7 ÷ 2 = 3.5 dollar
as we have to take 50 percent
Find the volume of the prism.
Answer:
Its A.
Step-by-step explanation:
remember its rectangle 1 + rectange 2.Once i did that i have seen the total volume must be greater then answer B
so it must be a
X/30 + X/40= 1
Solve for x
Answer:
17 1/7 I think
Step-by-step explanation:
x=17.1
Step-by-step explanation:
[tex] \frac{x}{30} + \frac{x}{40} = 1 \\ \frac{3x + 4x}{120} = 1 \\ \frac{7x}{120} = 1 \\ \frac{7x}{120} = 1 \\ 7x = 120 \\ x = \frac{120}{7} \\ x =17.1 [/tex]
HELP PLEASE!!!!!
options
A) AAS
B) ASA
C) HL
D) SAS
A circle is centered at the point (-3, 2) and passes through the point (1, 5). The radius of the circle is
Answer:
1.5 because it passed it.
simplify 5x+(2x-y)- 4y)
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\huge\text{5x + (2x - y) - 4}[/tex]
[tex]\huge\text{= 5x + 2x - y - 4y}[/tex]
[tex]\huge\text{COMBINE the LIKE TERMS}[/tex]
[tex]\huge\text{(5x + 2x) + (-y - 4y)}[/tex]
[tex]\huge\text{5x + 2x = \boxed{\bf 7x}}[/tex]
[tex]\huge\text{-y - 4y = \boxed{\bf -5y}}[/tex]
[tex]\boxed{\huge\text{= \bf 7x - 5y}}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \text{\bf 7x - 5y}}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex]\longrightarrow{\blue{ 7x - 5y }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]5x + (2x - y) - 4y[/tex]
➼ [tex] \: 5x + 2x - y - 4y[/tex]
➼ [tex] \: 7x - 5y[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
How many hours did we spend in class?
a. 2 hours
b. 3 hours
C. 4 hours
d. 5 hours
Answer:
D. 5 hours that's clostest to the actual time we spent
Step-by-step explanation:
the actual time would be more around 6 hours
Classify the triangle by its angles and sides.
acute isosceles
acute scalene
equiangular equilateral
obtuse isosceles
Answer:
equiangular equilateral
all sides are equal
in a recent year, 21.2% of all registered doctors were female. if there were 42,800 female registered doctors that year, what was the total number of registered doctors?
Answer:
201886
Step-by-step explanation:
What number is exactly halfway between 5/9 and 7/9
Answer:
11/18
Step-by-step explanation:
Directly between 5/9 and 6/9 would be 5.5/9 (or 5 and half ninths. However, you’re not supposed to mix regular fractions and decimal fractions.
So, the easiest way to get the proper answer would be to convert the fractions to eighteenths, which would give you a whole number numerator between the two given fractions.
So, 5/9 = 10/18 and 6/9 = 12/18. What number is directly exactly between 10 and 12? 11.
Pls help I need a good grade
Answer:
b
Step-by-step explanation:
glad I helped..............