Answer:
Answer for linear equation: y=4x+500 and Avg score for persons taking 43-hour review course is 672
What are the coordinates of the vertex of the function f(x) = x2 − 12x + 5?
(6, 31)
(−6, 31)
(6, −31)
(−6, −31)
Answer: (6, -31)
Explanation: See attachment
Can someone check if my equation is correct? Thank you so much!
Answer:
yes your eqation is correct...
Which of the following statements is false?
In quadrilateral PQRS, ∠P and ∠S are opposite angles.
If you apply the changes below to the quadratic parent function, f(x) = x²,
which of these is the equation of the new function? Shift 1 unit left.
Vertically stretch by a factor of 5.
Reflect over the x-axis.
A. g(x) = -5(x-1)²
B. g(x) = -5x² - 1
C. g(x) = -5(x + 1)²
D. g(x) = (-5x + 1)²
Answer:
Step-by-step explanation:
Comment
Do the most mechanical part first. Moving 1 unit left will mean that x becomes (x + 1). It is anti intuative, but that is the correct answer.
So far what you have is y = a(x + 1)^2
The reason that you want to do it this way is any answer with a minus sign is wrong which eliminates A and B
When you stretch the parabola, a becomes 5 so now you have another part of the puzzle. and the equation becomes
y = 5(x + 1)^2
The 5 goes on the outside of the brackets which eliminates D
When you reflect this over the x axis, you invert the parabola which means you turn it upside down. The sign in front of the 5 becomes a minus.
Answer
y = - 5(x + 1)^2 or C.
Please help! Both questions are in the photo. Thank you so much!
The probability that a 4 shows up is 0.20 and the proportion of 3's rolled is 0.467
The probability that a 4 shows upFrom the list of numbers, we have:
Sides = 5 i.e. numbers 1 to 5n(4) = 1 i.e. sides labelled 4The probability that a 4 shows up is then calculated as:
P = n(4)/Sides
This gives
P = 1/5
Evaluate
P = 0.2
The proportion of 3's rolledIn the list of numbers, we have:
Total = 15Number of 3's = 7The proportion of 3's rolled is then calculated as:
P = Number of 3's/Total
This gives
P = 7/15
Evaluate
P = 0.467
Hence, the proportion of 3's rolled is 0.467
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Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.
k=______.
Answer:
5
Step-by-step explanation:
Look at one of the coordinates to find k. For this example I'll look at the y-intercepts (0, 3) (for g(x)) and (0, -2) (for f(x))
g(0) = 3
g(0) = f(0) + k
3 = -2 + k
5 = k
A dial combination lock has dials numbered 0 to 5. The lock is set to an even number. How many different numbers could it be?
I need some help on this one, anyone know?
The number of combinations will be 6 for even numbers.
What is the combination?The arrangement of the different things or numbers in a number of ways is called the combination.
Given that:-
A dial combination lock has dials numbered 0 to 5. The lock is set to an even number. How many different numbers could it be?The total sample numbers are from 0 to 5 which are 0,1,2,3,4,5.
The even numbers are 0,2,4.
The combinations will be given by:-
C = 3!
C = 3 x 2 x1
C = 6
Therefore the number of combinations will be 6 for even numbers.
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3.) Let t= the number of tomatoes Tye planted last year.
This year she planted 3 times as many. Write an
algebraic expression to show how many tomatoes Tye
planted this year.
Answer:
3t
Step-by-step explanation:
The algebraic expression to show the number of tomatoes Tye planted this year is 3t
How to write the algebraic expression of Tye?From the first statement given in the question, we were told that:
t is the number of tomatoes Tye planted last yearFrom the above statement, we can write the algebraic expression to show the number of tomatoes Tye planted this year. This is shown below:
Number of tomatoes planted last year = tNumber of tomatoes planted this year =?Number of tomatoes planted this year = 3 × Number of tomatoes planted last year
= 3t
Thus, from the above illustration we can say that the algebraic expression is 3t
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1+1= 2+1= 3+1= 4 so that is the answer to this difficult sum
Answer:
2 = 3 = 4 = 4
Select the correct answer.
The radius of the ball bearings produced at a factory must be 1.25 centimeters, with a tolerance of 0.1 centimeter. Which equation can be used
to find the minimum and maximum radil accepted? (Assume rrepresents the actual radius of any given ball bearing.)
OA /r-1.25/= 0.1
OB. 11.25r-1.25/= 0.1
OC. /r-0.1/= 1.25
OD. /r-0.1r/= 1.25
The absolute value equation that can be used to find the minimum and maximum radius accepted is:
A. |r - 1.25| = 0.1.
What is the absolute value?The absolute value function is defined as follows:
[tex]|x| = x, x \geq 0[/tex]
[tex]|x| = -x, x < 0[/tex]
It measures the distance of a point x to the origin.
In this problem, the absolute value of the difference between the radius and 1.25 cm must be of 0.1 to find the thresholds, hence the equation is:
A. |r - 1.25| = 0.1.
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simplify x²-4xy+4y²/x²+xy-6y²÷x²+3xy/x²+6xy+9y²
Answer:
x-2y/x
Step-by-step explanation:
x²-4xy+4y²/x²+xy-6y²÷x²+3xy/x²+6xy+9y² = x-2y/x
A face of a suitcase measures 24 inches long and 18 inches wide. what is the diagonal length of the face?
30 in.
25 in.
20 in.
15 in.
I think the answer is 90in.
In a case whereby the face of a suitcase measures 24 inches long and 18 inches wide the diagonal length of the face is 30 in.
How can the diagonal length be calculated?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse.
The suitcase measures 24 inches long and 18 inches wide
Using Pythagoras theorem,
The diagonal =[tex]\sqrt{18^{2} + 24^{2} }[/tex]
= [tex]\sqrt{900}[/tex]
=30 in.
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can someone please help mee(10 points)
Answer:
(2,-3)
Step-by-step explanation:
Thats where the parabola is the lowest at
Find y
y
A.4
B. 4√2
C. 8
D. 2√2
X
30°
4√3
Step-by-step explanation:
z = 4√3
y = ?
Z° = 90° - 30° = 60°
Y° = 30°
• Find y.
y/sin(Y) = z/sin(Z)
y/sin(30°) = 4√3/sin(60°)
y/(1/2) = 4√3/(1/2 √3)
y . 1/2 √3 = 4√3 . 1/2
y . 1/2 √3 = 2√3
y = 2√3 . 2/√3
y = 4√3/√3
y = 4
The answer is A.
Please help i dont get this at all so please i will highly appreciate it .Thank youuu!!!
Answer:
2nd box, 4th box and 5th box
Step-by-step explanation:
3. Find the value of √99225. Hence find the sum of √992.25 and √9.9225.
Step-by-step explanation:
The square root of √9.9225. is 315.
See the decimal places
therefore S,Q,R,T of 9.9225 is 31.5 and 9.9225 is 3.15.
Hence the sum, is (31.5+3.15)= 34.65.
Answer- Value- 315
Sum-34.65
If you can can i get a brain list i don't ever get them
x = √3 + √2/ √3 - √2
y = √3 - √2/ √3 + √2
Find x² + y²
Answer: 98
Given following:
[tex]\Longrightarrow \sf x = \dfrac{\sqrt{3} +\sqrt{2} }{\sqrt{3} - \sqrt{2} }[/tex]
[tex]\Longrightarrow \sf y = \dfrac{\sqrt{3} -\sqrt{2} }{\sqrt{3} + \sqrt{2} }[/tex]
Solve for x² + y²:
[tex]\rightarrow \sf \left(\:\dfrac{\sqrt{3}\:+\sqrt{2}\:\:}{\sqrt{3}\:-\:\sqrt{2}\:}\right)^2\:+\:\left(\dfrac{\sqrt{3}\:\:-\sqrt{2}\:\:}{\sqrt{3}\:+\:\sqrt{2}\:\:}\:\right)^2[/tex]
simplify following
[tex]\rightarrow \sf 49+20\sqrt{6}+49-20\sqrt{6}[/tex]
add/subtract similar terms
[tex]\rightarrow \sf 98[/tex]
The time series pattern that reflects a gradual shift or movement to a relatively higher or lower level over a longer time period is called the _____.
Answer:
Trend pattern
Vertical lines m and n are intersected by lines k and j. At the intersection of lines m and k, the bottom right angle is (x minus 30) degrees. At the intersection of m and j, the uppercase right angle is y. At the intersection of lines k and n, the bottom left angle is (x + 50) degrees.
Find the values of x and y that make k || j and
m || n.
x =? °
y = ?°
Using the same-side interior angles theorem, the values of x and y are:
x = 80
y = 130
What is the Same-side Interior Angles Theorem?The same-side interior angles theorem states that two interior angles on same side of a transversal are supplementary.
(x - 30) and (x + 50) are same-side interior angles, therefore:
(x - 30) + (x + 50) = 180
Solve for x
x - 30 + x + 50 = 180
2x + 20 = 180
2x = 180 - 20
2x = 160
x = 160/2
x = 80
(x - 30) + y = 180
Plug in the value of x
(80 - 30) + y = 180
50 + y = 180
y = 180 - 50
y = 130
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Answer:
X= 80
Y= 130
Step-by-step explanation:
do you trust me???
Which triangles are similar to ABC
Answer:
DEF
Step-by-step explanation:
it is mathematically similar as the sides have a scale factor of 4
A polynomial f(x) has the given zeros of 7-1, and-3
Part A: Using the Factor Theorem, determine the polynomial f (x) in expanded form Show all necessary calculations (3 points)
Part B: Divide the polynomial f (x) by (x²-x-2) to create a rational function g(x) in simplest factored form. Determine g(x) and find its slant asymptote (4 points)
Part C: List all locations and types of discontinuities of the function g(x) (3 points)
The polynomial f(x) in expanded form is [tex]f(x) = x^3 - 3x^2 - 25x - 21[/tex]
The polynomial f(x)The polynomial zeros are given as:
x = 7, x = -1 and x = -3
Rewrite as:
x - 7 = 0, x + 1 = 0 and x + 3 = 0
Multiply the zeros
f(x) = (x - 7)(x + 1)(x + 3)
Expand
[tex]f(x) = (x - 7)(x^2 + 4x + 3)[/tex]
Further, expand
[tex]f(x) = x^3 + 4x^2 - 7x^2 + 3x - 28x - 21[/tex]
Evaluate
[tex]f(x) = x^3 - 3x^2 - 25x - 21[/tex]
Hence, the polynomial f(x) in expanded form is [tex]f(x) = x^3 - 3x^2 - 25x - 21[/tex]
Rational function g(x)We have:
[tex]g(x) = \frac{f(x)}{x^2 - x- 2}[/tex]
This gives
[tex]g(x) = \frac{x^3 - 3x^2 - 25x - 21}{x^2 - x- 2}[/tex]
Expand the numerator
[tex]g(x) = \frac{x^3 - x^2 - 2x^2 - 2x + 2x - 25x + 4 - 25}{x^2 - x - 2}[/tex]
Rewrite as:
[tex]g(x) = \frac{x^3 - x^2 - 2x - 2x^2 + 2x + 4 - 25x - 25}{x^2 - x - 2}[/tex]
Factorize
[tex]g(x) = \frac{(x - 2)(x^2 - x- 2) - 25x - 25}{x^2 - x- 2}[/tex]
Evaluate the quotient
[tex]g(x) = x - 2 - \frac{25x + 25}{x^2 - x- 2}[/tex]
The slant asymptote is the quotient i.e. x - 2
Hence, the slant asymptote of the function g(x) is x - 2
The discontinuities of g(x)In (b), we have:
[tex]g(x) = \frac{x^3 - 3x^2 - 25x - 21}{x^2 - x- 2}[/tex]
Set the denominator to 0
[tex]x^2 - x - 2 = 0[/tex]
Expand
[tex]x^2 + x - 2x - 2 = 0[/tex]
Factorize
x(x + 1) - 2(x + 1) = 0
Factor our x + 1
(x - 2)(x + 1) = 0
Solve for x
x = 2 or x = -1
2 is greater than -1.
So, the discontinuities and their types are:
Essential discontinuity at x = 2Removable discontinuity at x = -1Read more about polynomials at:
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Girl runs across Across a rectangle field diagonal covering a distance of 120m if the length of the field is 100m calculate the width of the field to the nearest metre
Answer:
66m
Step-by-step explanation:
Answer:
66 m
Step-by-step explanation:
ok so if you think about it, when she runs diagonal she's creating a triangle where she is running along the hypotenuse. we can now use the Pythagorean Theorem a^2 + b^2 = c^2 to solve for the other side with two of them being known.
plug values in
100^2 + w^2 = 120^2
square known values
10,000 = w^2 = 14,400
subtract 10,000 from both sides
w^2 = 4400
take the square root
w = 66 (rounded to the nearest whole number)
What is the rate of change according to the table below?
x
3
4
5
6
y
21
28
35
42
Answer:
lets make this like a table
x y
3=21
4=28
5=35
so since y is bigger lets divide that by x
21/3=7
so the rate of change is 7
Hope This Helps!!!
MATHHH. Probability section!!! HELP!
please give the right answer.
Answer:
10% or 1 /10
Step-by-step explanation:
'Fish' is on the spinner in one slot out of 10 slots
one out of 10 = 1/10 = 10%
Answer:
10%
Step-by-step explanation:
There are 10 possible areas to land on fish is only shown once meaning there is a 1/10 chance which is = to 10%
Which term describes the point where the perpendicular bisectors of the three sides of a triangle intersect? OA. Incenter OB. Centroid OC. Circumcenter D. Orthocenter
Answer: Circumcenter (choice C)
Explanation:
The circumcenter is useful to form a circle that passes through all three points of a triangle. It is the smallest circle possible that doesn't go inside the triangle.
The incenter is formed by intersecting at least two angle bisectors, which means we can rule out choice A. The centroid is the result of intersecting two or more medians, which allows us to cross off choice B. Choice D is out because the orthocenter is the intersection of the altitudes.
Answer:
C. Circumcenter
Step-by-step explanation:
Hope this helps.
What is the value of x
Enter your answer in the box
X=_
Answer:
25
Step-by-step explanation:
This is an equilateral triangle so all of its angle measures, and side lengths likewise, are equal.
To find x we can use the following equation:
3x - 5 = 2x + 20 export like terms to the same side of the equation
3x - 2x = 20 + 5 (notice how terms change from "+" to "-" and vice versa)
add/subtract like terms
x = 25
The graph of f(x)=x2 is shown. Use the parabola tool to graph the function g(x)=(12x)2. To graph a parabola, first plot the vertex then plot another point on the parabola.
Answer:
Pease check my assumptions.
Step-by-step explanation:
I will assume that f(x)=x2 is actually f(x) = x^2.
Same for g(x)=(12x)^2 [Is it g(x)=12x^2 ???]
See the attached image.
Note that (12x)^2 results in a narrower, steeper graph. That's because (12x)^2 can be rewritten as 144x^2, so every value is multiplied by 144, compared to just x^2.
Can someone help with question 3? I would like to see the working and answer on paper, I’m in a hurry
Answer:
Step-by-step explanation:
so...
on your new sheet of paper, draw a straight horizonal line label one end Y the other Z ( Y will be your vertex, point of angle )
then on original figure, use a compass and put the in B and measure to A
on new sheet put the pin in Y and draw an arc ( lightly )
now back to orig and put pin in C and measure up to A
on new put pin onthe line so that when you draw an arc it will bisect the one you did previously. will will create a point . join the point to Y
hope that makes some sort of sense.
4. Find the area:
23 m
5 m
379m²
389m²
74m²
5 m
18 m
6 m
Answer: 379 meters squared
Step-by-step explanation:
Hello!
So, to calculate this area, we need to split it into 3 squares.
You can see that there is a big square, and on top of the big square, there are 2 smaller ones: one to the left and the other to the right.
Area of a square (in this case rectangle) = Lenght multiplied by width
We got 3 squares, if we calculate the area of each one's, we can add them together and get the total area of the irregular shape.
The first square will be the big one:
To get the length of the big square, we need to subtract 5 from 23.
Length of big square = 18 meters
And the width is also 18 meters
Area of the big square = 18 * 18 = 324 meters squared
Now, let's calculate the top left square's area.
That will be 5 meters * 5 meters.
Area of top left square = 25 meters squared.
Top right square's area = 6 meters * 5 meters.
Area of top right square = 30 meters squared
Now, we just gotta add them all up:
324 + 25 + 30 meters squared = 379 meters squared
Hope I Helped!
If 2 times the sum of two consecutive even numbers is greater than 94, what is the smallest possible value of the larger number?
Answer:
26
Step-by-step explanation:
Define the variables:
2n = first even number2n + 2 = consecutive even numberGiven information:
2 times the sum of two consecutive even numbers is greater than 94Create an inequality from the defined variables and the given information:
⇒ 2(2n + 2n + 2) > 94
Solve the inequality:
⇒ 2(4n + 2) > 94
⇒ 8n + 4 > 94
⇒ 8n > 90
⇒ n > 11.25
Therefore:
2n > 22.52n + 2 > 24.5As 2n and 2n+2 are even numbers:
smaller number (2n) ≥ 24larger number (2n + 2) ≥ 26Therefore, the smallest possible value of the larger number is 26.
