Answer:
a. 88
b. I disagree with Kris
Step-by-step explanation:
88 is by far the biggest outlier here being 11 numbers away from the second highest being 77. This means there is one kid that is much higher than the rest of the group.
Mr. Walker gave his class the function f(x) = (x + 3)(x + 5). Four students made a claim about the function. Each student’s claim is below.
Jeremiah: The y-intercept is at (15, 0).
Lindsay: The x-intercepts are at (–3, 0) and (5, 0).
Stephen: The vertex is at (–4, –1).
Alexis: The midpoint between the x-intercepts is at (4, 0).
the only student that is correct is Stepheh. "The vertex is at (–4, –1)."
Which claims are true?
Here we have the quadratic equation:
f(x) = (x + 3)*(x + 5)
The first claim is: "The y-intercept is at (15, 0)."
This is clearly false, as the y-intercept is at x = 0, and in that point we have x = 15.
The second claim is:
"The x-intercepts are at (–3, 0) and (5, 0)"
This is false, in the factored equation we can see that the x-intercepts are x =-3 and x = -5.
Third claim:
"The vertex is at (-4, -1)"
The middle value between the zeros is:
(-3 + (-5))/2 = -4
Evaluating the function in x = -4 we get the y-value of the vertex:
f(-4) = (-4 + 3)*(-4 + 5) = -1*1 = -1
So the vertex is at (-4, -1), this claim is true.
The fourth claim is:
"The midpoint between the x-intercepts is at (4, 0)."
Which is false, we already saw that the midpoint between the x-intercepts is at x = -4
Then the only student that is correct is Stepheh. "The vertex is at (–4, –1)."
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This graph shows the solution to which inequality?
(3, 3)
(-3,-1)
O A. ysx+1
OB. y> 3x+1
O C. y
O D. y²x+1
4
Answer:
Correct option is C)
given, y≥2x+1 and
y>
2
1
x−1
Answer:
D
Step-by-step explanation:
y>_2/3 x+1 (as diagram shows the deepest line that's why it should be either greater than or equal sign or less than or equal sign)
Now check those point,
we get for (-3,-1) is -1=-1 and for (3,3) is 3=3. This can be greater than bcoz it's upon the root point.
on average, an individual's bmr decreases approximately 3 to 5 percent per decade after what age? a. 20 b. 50 c. 30 d. 70
An individual's BMR decreases approximately 3 to 5 percent per decade on an average after the age of option C. 30.
BMR is known as basal metabolic rate which decreases when the age of a person increases.As metabolism factor slow down with the increase in age.After the age of 30 metabolism rate decreases which effect basal metabolic rate every decade by round about 3 to 5 percent.At the young age expenditure of the daily energy is quiet more compare to older age.On an average after the age of 30 BMR is decreases approximately by 3 to 5 percent.
Therefore, on an average individuals BMR is approximately decreases by round about 3 to 5 percent per decade after the age of option c. 30.
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(5-2i)(1-3i) solve in steps
Find all the solutions of the equation \( z^{5}+16 z=0 \). Express your final answer in rectangular form, not in polar form.
Answer:72
Step-by-step explanation: that is not the answer so eaj
why does george need to fix the expression?; 15 − 9 + 2.65 + 1.35 + 2(1.74) why does george need to fix the expression?
George has $15. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but he does not have enough money. Look at the numerical expression George used: 15 - 9 + 2.65 + 1.35 + 2(1.74) Can you help him determine why he does not have enough money?
George doesn’t have enough money because the total cost of what he wants to buy costs $16.48 and he has $15. This means he needs an extra $1.48 to be able to buy what he needs.
From the above question:
George has $15. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but he does not have enough money.
Look at the numerical expression George used: 15 −( 9 + 2.65 + 1.35 + 2(1.74) )
Use the order of operations to simplify this expression.
Using the order of operations we have:
=$ 15 – (9 + 2.65 + 1.35 + 2(1.74) )
= $15 -( 9 + 2.65 + 1.35 + 3.48 )
=$ 15 – (16.48)
= $-1.48
Hence , george doesn’t have enough money because the total cost of what he wants to buy costs $16.48 and he has $15. This means he needs an extra $1.48 to be able to buy what he needs.
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PLEASE HELP! Answer both questions for 15 points! PLEASE INCLUDE EXPLANATION!!!!
Answer:
Step-by-step explanation:
1. 169
2. 169
3. right
*next column*
1. 233
2. 196
3. acute
A phone company offers two monthly plans. Plan A costs $20 plus an additional $0. 08 for each minute of calls. Plan B has no initial fee but costs $0. 12 for each minute of calls. What is the cost when the two plans cost the same for a set number of minutes?
The cost when the two plans cost the same for a set number of minutes is $60.
To find the cost when the two plans cost the same for a set number of minutes, we need to set the algebraic expressions for each plan equal to each other and solve for the number of minutes.
The algebraic expression for Plan A is 20 + 0.08m, where m is the number of minutes.
The algebraic expression for Plan B is 0.12m, where m is also the same number of minutes.
Setting these two expressions equal to each other, we get:
20 + 0.08m = 0.12m
Simplifying the equation, we get:
0.04m = 20
Dividing both sides by 0.04, we get:
m = 500
So the cost for both plans will be the same when the number of minutes is 500. To find the cost, we can plug this value back into either algebraic expression:
Cost = 20 + 0.08(500)
Cost = 20 + 40
Cost = $60
Therefore, the cost when the two plans cost the same for a set number of minutes is $60.
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Which is the graph of the equation y-1=- f (x-3)?
what is 900 divided by 45
Answer:
20
Step-by-step explanation:
math lol and it's the correct answer
the base of a triangle is shrinking at a rate of 2 cm/min and the height of the triangle is increasing at a rate of 3 cm/min. find the rate (in cm2/min) at which the area of the triangle changes when the height is 38 cm and the base is 32 cm.
When the height is 38 cm and the base is 32 cm, the rate at which the area of the triangle changes is 10 cm²/min.
The rate at which the area of a triangle changes can be found by multiplying the rate at which the base is shrinking by the rate at which the height is increasing.
Given:
Rate of shrinking of the base = -2 cm/min
Rate of increasing of the height = 3 cm/min
Height of the triangle = 38 cm
Base of the triangle = 32 cm
To find the rate at which the area of the triangle changes, we use the formula for the area of a triangle:
Area = (1/2) * base * height
Differentiating the area formula with respect to time gives us:
dA/dt = (1/2) * (db/dt) * height + (1/2) * base * (dh/dt)
Substituting the given values, we have:
dA/dt = (1/2) * (-2) * 38 + (1/2) * 32 * 3
Simplifying, we get:
dA/dt = -38 + 48
dA/dt = 10 cm²/min
Therefore, when the height is 38 cm and the base is 32 cm, the rate at which the area of the triangle changes is 10 cm²/min.
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Hey guys I really need help please help me
Answer:
I believe x would be 30
Step-by-step explanation: When you add 20+10 it will give you the other triangle side, which is 30, and then 22+11 will be 33. And for the final side 24+12 will give you 36
Carson owes Nigel $110. If Carson repays this debt at a rate of $15 per week, which graph best represents when, in weeks, Carson’s debt will be less than $50?
Responses
After doing the equitation the at rate of $15 per week.
How to do graph representation?
Graph representation is a way of visualizing data as a graph or chart. It is used to easily identify relationships between data points and to illustrate trends in the data. Graphs can be used to present data in a variety of ways, such as bar graphs, line graphs, pie charts, scatter plots and more. Graphs are especially useful when trying to compare two or more sets of data and to highlight any patterns or trends that may exist. Additionally, graphs are often used to represent numerical data in a more visually appealing way. By using graphs, it is easier to identify relationships, trends and outliers in the data. Graphs also help to make data easier to interpret and understand.
Carson owes = $110
At rate of $15 per week.
The graph representation will follows:
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what is the inverse of f(x)=4(x+17)
Answer:
1/4x-7/4
Step-by-step explanation:
Find The Linearization L(X) Of The Function At A. F(X) = Sin(X), A = Pi/3 L(X) =
The linearization of the function f(x) = sin(x) at a = π/3 is L(x) = (√3 + x - π/3)/2.
The linearization of the function f(x) = sin(x) at a = π/3 can be found using the formula:
L(x) = f(a) + f'(a)(x - a)
First, let's calculate f(a) and f'(a).
f(a) = sin(π/3) = √3/2
f'(x) represents the derivative of f(x) with respect to x, which in this case is the derivative of sin(x).
The derivative of sin(x) is cos(x), so:
f'(a) = cos(π/3) = 1/2
Now we can substitute these values into the linearization formula:
L(x) = (√3/2) + (1/2)(x - π/3)
Simplifying further, we have:
L(x) = (√3 + x - π/3)/2
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find the ratio of a:b if it is given that a+2b/11= b/3
please answer thanks!
Answer:
3(a+2b)=11b
3a+6b=11b
3a=5b
a/b=5/3
a:b=5:3
Answer:
a:b = 5:3
Step-by-step explanation:
I do RSM too, just type in 5:3! Good luck and have a wonderful day.
If 7x - 6y = 10 is a true equation, what would be the value of 21x – 18y?
Answer:
21x - 18y = 30
Step-by-step explanation:
7x - 6y = 10
multiple both sides by 3
3(7x - 6y) = 3(10)
21x - 18y = 30
400x2 pls answerrr I give brainliest to first question ahhh pkssskjwaaseeee granny answer
Answer:
800, just say my name and ill be there
Step-by-step explanation:
teresa earned 425 dollars for working 25 hours last week what is her hourly rate
Answer: $17
Step-by-step explanation:
$425 divided by 25
Answer:
Her hourly rate is $17/hr.
Step-by-step explanation:
We can figure this out by taking the total dollars ($425) and dividing it by how many hours she spent working (25). 425 divided by 25= 17. Therefore, her hourly rate is 17$/hr.
PLEASE HELPPPP!!! What is the range of the function shown in the graph?
Answer:
Step-by-step explanation:
It wont show me the graph if it did i would help
Answer:
b all real numbers
Step-by-step explanation:
y is going on infinitely thus so y can be any real number
5. A map's key shows that every of 5 inches on the
map represents 200 miles of actual distance.
Suppose the distance between two cities on
the map is 7 inches. What is the actual distance
between the two cities? Write the rule you used
to find the actual distance.
The actual distance between the two cities is 280 miles.
A map's key shows that every of 5 inches on the map represents 200 miles of actual distance. Suppose the distance between two cities on the map is 7 inches. What is the actual distance between the two cities? Write the rule you used to find the actual distance.
The rule used to find the actual distance between the two cities is multiplying the scale factor by the distance on the map.
The scale factor is given as 200 miles for every 5 inches, which means that for every 1 inch on the map, the actual distance is 40 miles. Hence, the actual distance for 7 inches on the map is calculated as follows:
Actual distance = Scale factor × Distance on the map Scale factor = 200 miles / 5 inches = 40 miles per inch distance on the map = 7 inches Actual distance = 40 miles per inch × 7 inches Actual distance = 280 miles
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from a square cadrboard sheet, a 5cm wide strip was cut away. the area of the remaining rectangle is 266 cm. find the original dimensions of the square cardboard sheet.
Answer: S=19cm
Step-by-step explanation:
area = s^2
s(s-5)=266
s^2-5s=266
s^2-5s-266=0
(s-19)(s+14)=0
s=19cm
19 x 19 = 266
The original dimensions of the square cardboard sheet is 19 x 19.
What is Quadratic Equation?ax² + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable, a≠0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.
Given:
Let the length of each side of the original square cardboard be x cm.
After cutting off a strip of 3cm wide its dimension becomes
length = x cm and breadth= (x−5) cm
So, Area = x² - 5x
266 = x² - 5x
x² - 5x - 266= 0
x² - 19x + 14x - 266= 0
x(x - 19) + 14 (x - 19)= 0
(x- 19)( x + 14) = 0
x= 19, -14.
Hence, the original dimensions of the square cardboard sheet is 19 x 19.
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The figure shows rectangle RSTW. Which of the following conditions satisfies the criteria for rectangles?
a. m∠SRZ = 40°
b. m∠STZ = 40°
c. m∠SRW = 80°
c. m∠TWR = 80°
For the given rectangle RSTW, the condition satisfies the criteria of rectangles is equal to m ∠SRZ = 40°.
As given in the question,
In the given figure of rectangle RSTW,
Conditions satisfies the criteria of the rectangles are as follow:
a. m ∠SRZ = 40°
Line segment SR is parallel to TW. TR is the transversal.
m ∠SRT = m ∠WTR ( Alternate interior angles)
T -Z - R
m ∠SRZ = m ∠WTZ = 40°
Given criteria is satisfies the criteria of rectangles.
b. m ∠STZ = 40°
All the interior angles of rectangle are of measure 90°
m ∠STW = 90°
m ∠WTZ = 40° (given)
m ∠STZ + m ∠WTZ = 90°
⇒ m ∠STZ = 50°
Given option does not satisfies the criteria of rectangles.
c. m ∠SRW = 80°
All the interior angles of rectangle are of measure 90°
Given option does not satisfies the criteria of rectangles.
d. m ∠TWR = 80°
All the interior angles of rectangle are of measure 90°
Given option does not satisfies the criteria of rectangles.
Therefore, for the given rectangle RSTW, the condition satisfies the criteria of rectangles is equal to m ∠SRZ = 40°.
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help please I need it
If the measures of the angles in the following triangle were listed in increasing order, which measure would be second? (2x+24) ° (4x+43) ° (x^2+1) °
Answer:
x²+1 is the second
Step-by-step explanation:
2x+24=40°
4x+43=75°
x²+1=65°
(2x+24) + (4x +43) + (x²+1)=180
x²+6x+68=180
x1=-14
x2=8
since there's no negative angle, we'll use x=8
A point is chosen in the circle at random. Determine which of the statements are true. Check all that apply. It is unlikely the point is in region A. It is likely the point is in region C. It is likely the point is in region G. It is impossible for the point to be in region H. It is certain that the point will land in a lettered region.
Answer:
A,D,E
Step-by-step explanation:
I just took the quiz.
Answer:
A, D, E
Step-by-step explanation:
The speed limit on most highways in New York State is 55
mph. Mr. Brown was driving to work, when he realized his car
was set to kilometers per hour instead of miles per hour. He
was driving 95 kilometers per hour. Was he speeding?
(1 kilometer = 0.62 mile)
Answer:
Mr. Brown was speeding at around 59 miles per hour.
Explanation:
If 1 kilometer = 0.62 mile, then:
95 km/h = 59.03 mph
55 < 59
Mr. Brown was going 4 mph over the speed limit.
PLEASE HELP!
Simplify.
x^2-3x-10/x+3/2x^2-7x-15/x^2-9
Answer:
3rd option, x^2-x-6/2x+3
The expression in the simplified form will be (x² - x - 6) / (2x + 3). Then the correct option is C.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ [(x² - 3x - 10) / (x + 3)] / [(2x² - 7x - 15) / (x² - 9)]
Simplify the expression, then we have
⇒ [(x² - 3x - 10) / (x + 3)] / [(2x² - 7x - 15) / (x² - 9)]
⇒ [(x² - 3x - 10) (x² - 3²)] / [(2x² - 7x - 15) (x + 3)]
⇒ [(x² - 5x + 2x - 10) (x - 3)(x + 3)] / [(2x² - 10x + 3x - 15) (x + 3)]
⇒ [(x - 5)(x + 2)(x - 3)] / [(2x + 3)(x - 5)]
⇒ [(x + 2)(x - 3)] / (2x + 3)
⇒ (x² - x - 6) / (2x + 3)
The expression in the simplified form will be (x² - x - 6) / (2x + 3). Then the correct option is C.
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The expression x - 4 represents a negative integer. What integer could x represents
The integer which the variable x could represent is; all integers less than 4; x < 4.
What is the value represented by the variable x?According to the task content, the given expression is; x -4.
Hence, since the resulting number is said to be a negative number, it follows that the resulting inequality should be;
x -4 < 0
x < 4.
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Graph the equation by plotting three
points. If all three are correct, the line
will appear.
2y = 3x + 11
pls input the 3 points
The three points to plot for the equation 2y = 3x + 11 are (0, 5.5), (1, 7), and (-1, 4).
To graph the equation 2y = 3x + 11, we can choose any three points that satisfy the equation. Let's select three points and plot them on a coordinate plane:
Point 1:
Let's set x = 0 and solve for y:
2y = 3(0) + 11
2y = 0 + 11
2y = 11
y = 11/2 = 5.5
So, the first point is (0, 5.5).
Point 2:
Let's set x = 1 and solve for y:
2y = 3(1) + 11
2y = 3 + 11
2y = 14
y = 14/2 = 7
The second point is (1, 7).
Point 3:
Let's set x = -1 and solve for y:
2y = 3(-1) + 11
2y = -3 + 11
2y = 8
y = 8/2 = 4
The third point is (-1, 4).
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