Answer:
Vertex(1,7)
Vertex form: [tex]f(x)=-2\left(x-1\right)^2+7[/tex]
Step-by-step explanation:
Vertex form equations for x is [tex]v=-\frac{b}{2a}[/tex]
which the vertex here is
[tex]-\frac{4}{2\left(-2\right)}[/tex]
->
x = 1, plugin to find y, y = 7
Which row of the input/output table is incorrect? y = 2 x - 3 x y Row A 3 3 Row B 5 7 Row C 7 11 Row D 10 15 Row B Row C Row A Row D
The row of the input/output is incorrect is Row D.
What is equation?
Given equation: y = 2x - 3
For, row A:
x = 3
y = 2x - 3
So,
y = 2(3) - 3
y = 3, which is correct
For row B:
x = 5
y = 2x - 3
So,
y = 2(5) - 3
y = 7, which is also correct.
For row C:
x = 7
y = 2x - 3
So,
y = 2(7) - 3
y = 11, which is also correct.
For, row D:
x = 10
y = 2x - 3
So, y = 2(10) - 3
y = 17, which is incorrect.
Hence, the row of the input/output is incorrect is Row D.
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in a school of 330 students , 85 of them are in drama ,200 of them are in a sports teAM AND 60 OF THEM DO DRAMA AND SPORTS.
fIND THE PROBABILITY THAT A STUDENT CHOSEN AT RANDOM ISNT IN DRAMA OR SPORTS
THE PROBABILITY THAT A STUDENT CHOSEN AT RANDOM ISNT IN DRAMA OR SPORTS is 7/22.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
Let's denote students
D = in the drama club ,
S = in a sports team
So, P(D) = 85/330
P(S) = 200/330
P(D and S) = 60/300
P(D or S) = P(D) + P(S) - P(D and S)
P(D or S) = 85/330 + 200/330 - 60/330
P(D or S) = 15/22
P(neither D nor S) = 1- 15/22
P(neither D nor S) = 7/22
Thus, THE PROBABILITY THAT A STUDENT CHOSEN AT RANDOM ISNT IN DRAMA OR SPORTS is 7/22.
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14.4.1:there are five girls in a tennis class. how many different doubles teams of two girls each can be formed from the students in the class?
The number of teams that can be formed is 10
How to determine the number of teams?The given parameters are:
Girls (n) = 5Teammate (r) = 2The number of teams is calculated as:
[tex]Team = ^nC_r[/tex]
So, we have:
[tex]Team = ^5C_2[/tex]
Apply the combination formula
Team = 10
Hence, the number of teams is 10
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¿Qué número es 100 más que 897?
Answer:
997
Step-by-step explanation:
Hope this helps a little.
What is the value of -3r+ 8 when r=4
Find the value of x that makes line m parallel to line n.
Answer: x = 20
Step-by-step explanation:
If line m is parallel to line n, the two angles given will be congruent because they will be alternate exterior angles (which are congruent).
This means we will set them equal to each other and solve for x.
Given:
(4x - 23) = (2x + 17)
Add 23 to both sides of the equation:
4x = 2x + 40
Subtract 2x from both sides of the equation:
2x = 40
Divide both sides of the equation by 2:
x = 20
Complete the table of inputs and outputs for the given function.
g(x)=3-8x
The inputs and outputs for the given function g(x) = 3 - 8x is (-3, 27), (-1, 11), (0, 3), (1, 5) and (3, 21).
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that g(x) = 3 - 8x, hence:
When x = -3; g(-3) = 3 - 8(-3) = 27
When x = -1; g(-1) = 3 - 8(-1) = 11
When x = 0; g(0) = 3 - 8(0) = 3
When x = 1; g(1) = 3 - 8(1) = 5
When x = 3; g(3) = 3 - 8(3) = 21
The inputs and outputs for the given function g(x) = 3 - 8x is (-3, 27), (-1, 11), (0, 3), (1, 5) and (3, 21).
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The depth of a diver is her distance below sea level because depth represents a distance
The depth of the diver is 32 feet below sea level.
What is the angle of elevation?The angle of elevation is the angle between the observer's eyesight horizontal line and the object. The complete question can be seen in the image attached below.
The depth of the diver is the absolute value of -32 since it can't be negative.
= |-32|
= 32
Therefore, we can conclude that the depth of the diver is 32 feet below sea level.
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MATH!!! 15 points ;)) find the volume of the composite figure
please answer correctly and check over your work...
Answer:
(2*2*1.5*1/3)+(2*1.5*4)= 14
Step-by-step explanation:
To find the area of a pyramid, you use the equation of 1/3 *lwh. When we place the values in there, we get 2*2*1.5*1/3, which is equal to 2. Then we solve the bottom part. Since it is a rectangular prism, we use the equation of lwh. When we insert the values, we get 2*1.5*4, which is equal to 12. Now, we take these two values of 2 and 12 and we combine them, giving us our final answer of 14.
Sahira chooses a random sample from the library and records the type of books in the chart below.
Type of Book
Number
Fantasy
10
Literature
25
Children’s
4
Nonfiction
11
The last option c is right because each book selected represents the sample from the population of full library books.
We have given that,
Sahira chooses a random sample from the library and records the type of books in the chart below.
Type of Book Number
Fantasy 10
Literature 25
Children’s 4
Nonfiction 11
t, showing the distribution of the number of books in a library.
Also given that Sahira chooses a random sample from the library and records the type of books in the chart below.
Sahira's sample can be said to be representative because given that books are taken at random.
So just because books literature more we cannot say it is not representative II option is not right, because each book was not chosen uniquely, just random books were drawn.
What is the population?
A population is defined as a group of individuals of the same species living and interbreeding within a given area. Members of a population often rely on the same resources, are subject to similar environmental constraints, and depend on the availability of other members to persist over time.
The last option c is right because each book selected represents the sample from the population of full library books.
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Please help!! A. 170 B. 205 C. 230 D. 105
Answer:
D. 105
Step-by-step explanation:
500-270, there's 230 total 2 head.
270-100 of one head, is 170 purple one head. 170+125 purple equals 295.
296 subtract from 500 total is 205 for total green.
205-100, 105 2 head.
A sequence is defined recursively by the formula f(n 1) = f(n) 3 . the first term of the sequence is –4. what is the next term in the sequence? –7 –1 1 7
The sequence whose first term is - 4 and defined recursively by the formula f(n + 1) = f(n) + 3 have the element - 1 as the next term. (Correct choice: B)
How to determine an element of a sequence
In mathematics, sequences are sets whose elements observe at least a condition, which is represented by a recursion formula in this question:
f(n + 1) = f(n) + 3
Thus, the following term of the sequence is:
f(2) = f(1) + 3
f(2) = - 4 + 3
f(2) = - 1
The sequence whose first term is - 4 and defined recursively by the formula f(n + 1) = f(n) + 3 have the element - 1 as the next term. (Correct choice: B)
Remark
The statement is poorly formatted and reports typing mistakes. Correct statement is:
A sequence is defined recursively by the formula f(n + 1) = f(n) + 3. The first term of the sequence is - 4. What is the next term in the sequence? a) - 7, b) - 1, c) 1, d) 7
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In which number does the 7 have a value that is 1/100 the value of the 7 in 468.705?
A 564.270
B 695.187
C 713.442
D 870.349
NEED HELP ASAP
Answer:
B 695.187
because 7 in 468.705 has value 1/10
1/100×1/100 is 1/1000 which is 0.007.
Answer:
B. 695.187
Explanation:
In the number 468.705, the number 7 is in tenths place (0.1)
If the value of 7 in that number which is 0.1 has value of 1/100, then
0.1 × 1/100 = 0.001 (thousand place)
Then the number 7 will be in thousands place: 0.007
Among options, option B (695.187) has the value of 7 in thousands place.
Find the code!
• It has 6 different digits
• Even and odd digits alternate (note: zero is an even number)
• Digits next to each other have a difference greater than one
• When we break the code into three sets of two-digit numbers, then the first and middle are a multiple of the last What is the code? (more than 1 solution)
Answer:
692703
816903
496307
816309
903618
Step-by-step explanation:
With even and odd digits alternating, and difference greater than one, then the last 2 digits can only be:
03, 05, 07, 09, 14, 16, 18, 25, 27, 29, 30, 36, 38, 41, 47, 49, ... any higher and we can't make multiples for the first or second pair
Let's check for multiples where even and odd digits alternate and have difference greater than one:
03 has 27, 63, 69, 81
07 has 49, 63
09 has 27, 63, 81
18 has 36, 72, 90
25 has none
27 has none ...
No others work following the rules
When we try to make full numbers that follow all the rules we find only these:
692703
816903
496307
816309
903618
:)
Help me with number 14 plss
Answer:
-3 1/5
Step-by-step explanation:
to find the slope of the line you use the equation (y2 - 1) / (x2 - x1)
when plugged in you get
(5 + 3) / (-2 1/4 - 1/4)
then you do what is inside the parenthesis
8 / -2 1/2
8 / -2.5
lastly you divide
you get -3 1/5
that is your answer
Estimate the size of a crowd at a concert where the area is 100 feet by 300 feet
(approximately the size of a football field). Assume 1 person for each 2.5 square feet.
a. 12,000
b. 10,000
c. 24,000
d. 5,000
The size of the crowd is 12,000
What is area of plane shape?This is the portion covered by the shape.
Analysis:
Area of field = 100 x 300 = 30000 square feet
If 1 person covers 2.5 square feet of the file then 30000/2.5 = 12,000 persons will cover the whole field.
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Find an angle between 0 degrees and 360 degrees and that is coterminal with 1260 degrees.
Answer:
The 180 degrees angle.
Step-by-step explanation:
We can start by dividing 1260 / 360 = 1080. Therefore, a 1080 degrees angle would be coterminal with 360.
Now we take 1260 - 1080, to see how many degrees we have left, this gives us: 180, therefore, the angle between 0 and 360 that is coterminal with 1260 degrees is the 180 degrees angle.
X • 1/5 = 60 Find out what x represents. Show work.
Answer:
x*1/5=60
5[x*1/5=60]
x=5*60
x=300
Step-by-step explanation:
-introduce the multiplicative inverse of 1/5 to the equation.
- 5*1/5 gives 1 on L.H.S
-Similarly 5*60 gives 300 on R.H.S
-finally x=300
What is the y-intercept of this line?
y = =+5
b = [?]
Answer:
b = 5
Step-by-step explanation:
The y intercept is the value when x =0
y = mx+b where b is the y intercept
b = 5
Answer:
b = 5
Step-by-step explanation:
Slope-Intercept form: y = mx + b
where:
m is the slopeb is the y-intercept (when x = 0)[tex]\sf \textsf{Given:}\ \dfrac{-4x}{3}+5[/tex]
[tex]\sf \textsf{slope:}-\dfrac{4}{3}[/tex][tex]\sf \textsf{y-intercept:}\ 5[/tex]Therefore, the value of b is 5.
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how many terms does the expression 6a + 3ab + 2 have
Answer:
3 terms
Step-by-step explanation:
6a is a term
3ab is a term
2 is a term
Is the graph increasing, decreasing, or constant?
Answer:
Decreasing
Step-by-step explanation:
Because the equation of that graph is Y=-X, and the - in the X represents that the graph is decreasing.
Solve5x+3=23
answers:
4
5.5
15
25
When accessing your credit card information online, you cannot ___
see statements
view the balance
make purchases
view the bill due dates
When accessing your credit card information online, you cannot makes purchase.
What is credit card?A credit card is a card that enables a card holder to buy or purchase things online on credit.
A credit card holder can carryout the following when accessing their credit card data online:
See their statementsView their balanceView their bill due datesTherefore the correct option is C.
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Any ideas for solving this beast
Answer:
option c
Step-by-step explanation:
What is the area of the target that earns at least 30 points on a throw?
Select the correct from the drop-down menu.
The area of the target that earns at least 30 points on a throw is 379.94 square inches
How to determine the area?The target areas that earn at least 30 points on a throw are:
30-point, 40-point and 50-point
From the question, we have:
So, the total radius is:
r = 3 + 4 + 4
Evaluate the sum
r = 11
The area is then calculated as:
A = πr²
This gives
A = 3.14 * 11²
Evaluate
A = 379.94
Hence, the area of the target that earns at least 30 points on a throw is 379.94 square inches
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Answer:
49 square inches
Step-by-step explanation:
edmentum/ Plato hope this helps
Eric plays basketball and volleyball for a total of 95 minutes every day. he plays basketball for 25 minutes longer than he plays volleyball. part a: write a pair of linear equations to show the relationship between the number of minutes eric plays basketball (x) and the number of minutes he plays volleyball (y) every day. (5 points) part b: how much time does eric spend playing volleyball every day? show your work. (3 points) part c: is it possible for eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95 minutes and plays basketball for 25 minutes longer than he plays volleyball? explain your reasoning. (2 points)
Answer:
a-x=y+25
b-35 minutes
c-nort possible
Step-by-step explanation:
can't explain due to the fact it will take 30m to type up
Now Ann is x years old and her sister is eight years younger than her. After five years , Anne's age is twice the age of her sister.
Write down the ages of Anne and her sister after five years in terms of x.
Please help me friends
Answer:
You can refer to the given attachment
find the equation of the line:
The slope of AB is (0-4)/(-2-0)=2, so since perpendicular lines have negative reciprocal slopes, the slope of the perpendicular line is -0.5.
So, the equation of the line is:
y + 1 = -0.5(x - 5)
y + 1 = -0.5x + 2.5
y = -0.5x + 1.5
What is the rate of change ( slope) for the given line
It’s extremely hard to tell, but it looks like it’s 3 over 2, which is 3/2.
3/2 is 1.5, or just 3/2. Since the line is going down, the slope would be negative, so -3/2.
Hope this helps!
Answer:
Step-by-step explanation:
-3/2 i think
THis might be wrong tho
Select the correct answer from each drop-down menu. two six-sided fair dice are rolled simultaneously. the probability that the sum of the two numbers rolled is greater than 3, given that the sum of the numbers is not greater than 5, is . the probability that one of the numbers is a 6 and the sum of the two numbers is an odd number is .
Two six-sided fair dice are rolled simultaneously.... 6 and the sum of the two numbers is an odd number is mathematically given as
x=7/10
What is the sum of the two numbers?Generally, the equation for Number is mathematically given as
[tex]x=P\frac{E > 3}{Enot > 5}\\\\Therefore\\\\x=P\frac{E > 3}{E\leq5}\\\\x=P\frac{4\leq E \leq5}{E\leq5}\\\\x=P\frac{7/36}{10/36}[/tex]
x=7/10
In conclusion, the sum of the two numbers
x=7/10
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