Please help me with this problem my son is stuck on this an I need help with getting this answered correctly
Answers
Part A.
In this case, we need to find the difference between two consecutive output values. For instance,
\(f(-5)-f(-4)=-11-(-3)\)which gives
\(f(-5)-f(-4)=-11+3=-8\)If we choose another pair of consecutive values, we will have the same difference. Then, the answer for part A is -8
Part B.
In this case, we wiil choose any two inputs that are 2 units apart, for instance,
Then, the difference of the outputs is given by
\(f(-3)-f(-1)=5-21\)which gives
\(f(-3)-f(-1)=-16\)If we choose another pair of consecutive values, we will have the same difference. Then, the answer for part B is: -16
Part C.
Similarly to the previous cases, we need to find the difference between any inputs that are 3 units apart, for instance,
Then, the difference of the outputs is given by
\(\begin{gathered} f(-3)-f(0)=5-29 \\ f(-3)-f(0)=-24 \end{gathered}\)If we choose another pair of consecutive values, we will have the same difference. Then, the answer for part C is: -24
part D.
From the given results, the ratios are;
\(\begin{gathered} \text{part A:}\frac{\text{ }f(-5)-f(-4)}{-5-(-4)}=\frac{\text{ }f(-5)-f(-4)}{-1}=\frac{-8}{-1}=8 \\ \text{part B:}\frac{\text{ }f(-3)-f(-1)}{-3-(-1)}=\frac{\text{ }f(-3)-f(-1)}{-2}=\frac{-16}{-2}=8 \end{gathered}\)and
\(\text{part C:}\frac{\text{ }f(-3)-f(0)}{-3-0}=\frac{\text{-}24}{-3}=8\)As we can note the ratios are the same and equal to 8.
Related Questions
HELLPP 8 GRADE I CANT SOLVE THIS
Answers
Answer: first number is the slope, second number is the y intercept
1: 2 , -8
2: -2/3, -2
3: 1/2, 5
4: -1/3, 3
5: 1, 0
6: -2/3, 4
7: 3, 16
8: -1/4, 8
9: 1/4, 6
Step-by-step explanation:
Y-INTERCEPT:
The y- axis is the middle line going vertical (up down)
You have to look at the CROSSING line to find through which number the line crosses the y-axis
on #1 the line crosses exactly through -8 on the y axis, therefore -8 is the y-intercept
SLOPE:
the slope is (rise over run) rise/ run: to find it the top number is the rise (how far up you go), the bottom number is the run (how far over you go)
you want to find the next point of interception from the y intercept that goes directly through both an x and y plot, so for #1: (1,4) goes right though a x and y plot. You want to start at the y-intercept and count how many squares OVER you go (2) and how many squares UP you go (1) to get from the y-intercept to the next perfect intercept.
With the 2 squares over and 1 square up, the slope is 2/1 or 2
If the line is going DOWN from left to right, whatever slope you get is NEGATIVE
A bag of marbles has 5 blue marbles, 3 red marbles, and 6 yellow marbles. A marble is drawn from the bag at
random. How many possible outcomes are there?
0 3
O 5
0 6
O 14
Answers
Answer:
14
Step-by-step explanation:
hope it helps!
Help me please! Thanks
Answers
The identification of the polygon that are given in the diagram above would be =
Polygon 1 = Isosceles trapezoid
polygon 2 = parallelogram
polygon 3 = Rectangle
polygon 4 = Rhombus
polygon 5 = Square
polygon 6 = trapezoid
What are the properties of the polynomials given above?Isosceles trapezoid : This is the type that of polygon in which the the top and base are not equal in length, but they are parallel to each other.
Parallelogram : This is defined as the type of polygon that has two pairs of parallel sides.
Rectangle : This has two pairs of sides that are equal and opposite.
Rhombus: All the sides are equal in length with its opposite angles equal .
Square: All sides are equal in length but and all angles are equal to 90°.
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Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is
shown:
RS = √(-4) (-3))² + (7 − 5)²
= √(-1)² + (2)²
= √1 + 4
= √5
-
What error, if any, did Heather make?
A. She substituted incorrectly into the distance formula.
B. She subtracted the coordinates instead of adding them.
C. She made a sign error when simplifying inside the radical.
OD. She made no errors.
Answers
The distance between points R and S is \(\sqrt{ (185)\). The correct answer is D. She made no errors.
Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:
RS = √(-4) (-3))² + (7 − 5)²
= √(-1)² + (2)²= √1 + 4
= √5
The error is with the order of subtraction in the formula for the distance between two points.
Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.
The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;
dAB = \(\sqrt{ ((x^2 - x1)^2 + (y2 - y1)^2)\)
Comparing the given question with the formula above, we have;
A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.
Therefore, we have;
RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)
On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS
= \(\sqrt{ (8^2 + 11^2)RS\)
= \(\sqrt{ (64 + 121)RS\)
= \(\sqrt{ (185)\)
Therefore, the distance between points R and S is \(\sqrt{ (185)\).
From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.
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what is the equation of the line through the points (3,2),(8,5),(13,8), and (18,11)
Answers
The equation of the line through the points is y = 3/5 + 1/5.
First, we find the Slope using the formula: m = y2 - y1/x2 - x1
You may choose any two points but I will use these two for no reason at all.)
Points: (3,2) and (8,5)
m = y2 - y1/x2 - x1
m = 5 - 2/8 - 3
m = 3/5
Now that we have the slope, we can now find the Slope-Intercept Form by using the Slope Form Formula. (need at least one point and slope.)
Formula: y - y1 = m(x - x1)
Point: (3,2)
What is the slope intercept form?y - y1 = m(x - x1)
y - 2 = 3/5(x - 3)
y - 2 = 3/5x - 9/5
y - 2 = 3/5x - 9/5
y = 3/5x - 9/5 + 10/5 (2 can be is any fraction that consists of the numerator multiplied twice by the denominator, such as 2/1, 4/2, 8/4, etc.)
y = 3/5 + 1/5
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3. Create a graph that shows three linear relationships with different y-intercepts using
the following slopes, and write an equation for each line.
Slopes:
●
5/5 5/5 115
3
y
Answers
Setting x = 0, we get the y-intercept: y = 31/5. So, the equation of the line is y = 6/5x + 31/5.
What does line intersect?In geometry, a line intersect is a point where two or more lines cross or meet. When two lines intersect, they share a single point in common, which is called the point of intersection. This point of intersection is the solution to the system of equations formed by the two lines.
by the question.
To find different y-intercepts using the given slopes, we need to use the point-slope form of the equation of a line, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. To find the y-intercept, we can set x = 0 and solve for y.
For slope 1/5, let's choose the point (2, 3) on the line. Using the point-slope form, we get:
y - 3 = 1/5(x - 2)
y - 3 = 1/5x - 2/5
y = 1/5x + 13/5
Setting x = 0, we get the y-intercept: y = 13/5. So, the equation of the line is y = 1/5x + 13/5.
For slope 3/5, let's choose the point (4, 2) on the line. Using the point-slope form, we get:
y - 2 = 3/5(x - 4)
y - 2 = 3/5x - 12/5
y = 3/5x + 8/5
Setting x = 0, we get the y-intercept: y = 8/5. So, the equation of the line is y = 3/5x + 8/5.
For slope 6/5, let's choose the point (-1, 5) on the line. Using the point-slope form, we get:
y - 5 = 6/5(x + 1)
y - 5 = 6/5x + 6/5
y = 6/5x + 31/5
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C
55
Solve for C.
90
C = [?]
Round your
to the nearest tenth.
final answer
50
Law of Cosines: c² = a² + b² - 2ab-cosC
Measure of Angle C
![C55Solve for C.90C = [?]Round yourto the nearest tenth.final answer50Law of Cosines: c = a + b - 2ab-cosCMeasure](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/DtACGDvycDQ5trAjjR1at85aqcaLHe3s.png)
Answers
Answer:
29.4°
Step-by-step explanation:
The equation can be rearranged to give C directly.
C = arccos((a^2 +b^2 -c^2)/(2ab))
C = arccos((90^2 +55^2 -50^2)/(2·90·55))
C = arccos(8625/9900) ≈ 29.4002°
C ≈ 29.4°
The measure of angle C is approximately 29.46 degrees.
How to determine angle CTo find the measure of angle C (cos(C)) using the given values a = 55, b = 90, and c = 50, we can use the Cosine Rule formula:
cos(C) = (a² + b² - c²) / (2 * a * b)
Substitute the given values:
cos(C) = (55² + 90² - 50²) / (2 * 55 * 90)
Now, calculate the numerator:
cos(C) = (3025 + 8100 - 2500) / (2 * 55 * 90)
cos(C) = 8625 / 9900
Now, divide to get the final value of cos(C):
cos(C) ≈ 0.8707
To find the measure of angle C itself, we can take the inverse cosine (arccos) of this value:
C ≈ arccos(0.8707)
Using a calculator, you'll find:
C ≈ 29.46 degrees (rounded to two decimal places)
So, the measure of angle C is approximately 29.46 degrees.
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11) A 'good' children's book is supposed to have pictures and text in the ratio 17:8. In a book I have just looked at,
the pictures occupy 272 pages. Approximately how many pages of text should this book have to be deemed a
'good' children's book?
Answers
Answer: 128 pages are text
Step-by-step explanation:
PICK 5 RELEVANT VOCABULARY TERMS AND SUMMARIZE THEM .
yooo, i need help with this...
Answers
Percussion is music involving drums and other instruments such as gongs, bells, cymbals, rattles, and tambourines. The instruments themselves are also called percussion.
dual / duel
Seeing double? Not quite! Dual is two, or double, but a duel is a fight. If you’re getting sick of your fair-weather friend’s dual personality, perhaps you should throw down your glove and challenge him to a duel at high noon.
grisly / gristly / grizzly
Blood, guts, and man-eaters, oh my! Faint of heart turn back now! Grisly means relating to horror or disgust, gristly means related to gristle or cartilage, and grizzly is a big ol' bear. That can eat you.
precedent / president
How has the United States affected this word pair, precedent and president? Let's find out.
unconscionable / unconscious
These two words look and sound similar. In fact, if you think too hard about them together, you might find your tongue tripping over them.
Write the exponent for the expression. 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5
Answers
Answer:
8
Step-by-step explanation:
It would be 5 to the 8th power since there are 8 fives being multiplied
Answer:
5 = 5^1
5x5 = 5^2
5x5x5 = 5^3
see a pattern here?
exponents are just a shorthand way of writing multiplication, just as multiplication is a short way of writing addition:
2*2 + 2+2
3*2 = 2+2+2
etc.
Step-by-step explanation:
Label each as a function or not a function.
Answers
Answer:
Function, function
Step-by-step explanation:
Each input corresponds to one output. Thus, by the definition of a function, both graphs represent functions
The volume of a right cone is 216π units. If its height is 18 units, find its radius.
Answers
Answer:
6 units-------------------------
Use the formula for the volume of a cone:
V = (1/3)πr²hGiven:
V = 216π, h = 18Substitute given values and solve for r:
216π = (1/3)πr²(18) 216 = 6r²36 = r² r = 6What is 8.6 increased by 75%
Answers
Answer:
15.05
Step-by-step explanation:
8.6 is 100% of 8.6.
To increase it by 75%, you'll end up with 175% of 8.6
175% of 8.6 =
= 1.75 * 8.6
= 15.05
someone help pls tysm
Answers
The mean of the number of plants (d) increases by 5.5
How to compare the mean of the number of plants?From the question, we have the table of values that can be used in our computation:
In the table, we have the following rows
Plants and Number of tomatoes
The mean of the number of plants is calculated as
Mean plant = Total number of tomatoes/Total number of plants
For the four plants, we have
Total number of tomatoes = 31 + 25 + 6 + 28 = 90
Total number of plants = 4
Substitute the known values in the above equation So, we have the following equation
Mean plant = 90/4
Mean plant = 22.5
For the three plants, we have
Total number of tomatoes = 31 + 25 + 28 = 84
Total number of plants = 3
Substitute the known values in the above equation So, we have the following equation
Mean plant = 84/3
Mean plant = 28
See that the difference is an increment of
Increment = 28 - 22.5
Evaluate
Increment = 5.5
Hence, the mean increases by 5.5
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Please help me solve this I will give 100 points and give you Brainiest title ! It’s question 8 and please show your work!
Answers
Answer:
24
Step-by-step explanation:
0.25 * 16 = 4
40 - 4 = 36
36 divided by 1.5 = 24
\(\\ \rm\hookrightarrow c=\dfrac{40-1.5r}{0.25}\)
\(\\ \rm\hookrightarrow 16=\dfrac{40-1.5r}{0.25}\)
\(\\ \rm\hookrightarrow 40-1.5r=16(0.25)=4\)
\(\\ \rm\hookrightarrow 1.5r=36\)
\(\\ \rm\hookrightarrow r=36/1.5\)
\(\\ \rm\hookrightarrow r=24\)
Please help me with this question please
Answers
What is the total surface area
Answers
Answer:
Step-by-step explanation:
The slope of a parabola
�
=
3
�
2
−
11
�
+
10
y=3x
2
−11x+10 at a point
�
P is 7. Find the
�
−
y− coordinate of the point
�
P
Answers
The y-coordinate of point P is 1.To find the y-coordinate of the point P on the parabola y = 3x^2 - 11x + 10 where the slope is 7, we can differentiate the equation to find the derivative. The derivative of y = 3x^2 - 11x + 10 is y' = 6x - 11.
To find the x-coordinate of point P, we can set the derivative equal to the given slope: 6x - 11 = 7. Solving for x, we get x = 3.
To find the y-coordinate of point P, we substitute the x-coordinate back into the original equation: y = 3(3^2) - 11(3) + 10. Simplifying, we find y = 1.
Therefore, the y-coordinate of point P is 1.
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Write 69200000 in scientific notation
Answers
69200000 in scientific notation is 6.92 × 10⁷.
How to represent number in scientific notation?Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form.
Scientific Notation is a special way of writing numbers:
For example 800 is written as 8 × 10² in Scientific Notation.
Therefore, let's write the scientific notation of the number 69200000.
Hence,
69, 200, 000 = 6.92 × 10⁷
The logic is that we will count backwards until we meet the last number. Since we counted towards the left side, the exponent will be positive.
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Will mark brainliest! The ratio of the angles in a triangle is 2:3:5. What are the angle measures.
Answers
dababy add subtract numbers dababycar
Answer:
Step-by-step explanation:
The measures of the angles are 2x, 3x, and 5x.
2x + 3x + 5x = 180°
x = 18°
2x=36°, 3x=54°, 5x=90°
I need help with this
Answers
9514 1404 393
Answer:
vertical shrink by a factor of 1/3shift right 2 unitsshift down 4 unitsStep-by-step explanation:
The transformations of interest here are ...
g(x) = k·f(x) . . . . . vertically scale f(x) by a factor of k
g(x) = f(x -h) . . . . shift f(x) right by h units
g(x) = f(x) +k . . . . shift f(x) up by k units
__
Working left to right, the first factor we encounter is 1/3, multiplying the value that is cubed. This means the vertical scale factor of f(x) = x^3 is 1/3. A scale factor less than 1 represents a shrink, so ...
transformation #1 = shrink by a factor of 1/3
The next number we encounter is -2 in the factor (x -2)^3. This means h=2 in f(x -h) = (x -2)^3. The horizontal shift right is 2 units:
transformation #2 = right shift 2 units
Finally, we encounter the number -4. This means k=-4 in g(x)=f(x)+k. The up-shift is negative, so ...
transformation #3 = shift down 4 units
__
The right- and down-shifts can be done in either order. Here, we have done them as we see them when scanning the equation left-to-right. The vertical scaling must be done before the down-shift, so that it does not affect the amount of down-shift.
You are delt 1 card from a 52 card deck. Find the probability that you are not dealt a 10
Answers
Answer:
Step-by-step explanation:
There are 4 tens.
There are 48 cards that are not a 10. The probability of drawing 1 of the 48 is
P(~10) = 48/52 which is quite high as you might imagine.
what is the approximate surface area of a cylinder with a radius of 3 inches and a height of 10 inches?
1. 30in^2
2. 87in^2
3. 217in^2
4. 245in^2
Answers
Curved surface = 2pi x r x h = 2 x 3.1 x 3 x 10 = 186
2 ends = 2 x (Pi x r x r) = 2 x 3.1 x 3 x 3 = 55.8
Total area = 186 + 55.8 = 242in^2 approximately
pls I need help in this exercise
Answers
Therefore ,a s a result, the answer to the given equation problem is that a carpet costs $2072.
Describe equation.When all of the highest powers of the variables are equal to one, an equation is said to be linear. The parts are linked together. Another name for this kind of problem is a one-degree equation. The following paragraphs will teach you how to solve a linear equation in one or two variables using the usual form, formula, graph, and directions.
Here,
Given :
50a + 12h is the floor area of a square foot.
where h is the amount of hours.
Thus.
When t=6 and a=40
So ,
the price of carpeting
=> Price = 50a plus 12h
=> Cost = 50*40 + 12*6
=> Cost = 2000 + 72
=> Cost = 2072
As a result, the answer to the given equation's problem is that a carpet costs $2072.
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help pls pls pls pls pls pls pls pls
Answers
Write a two-column proof for the following information. Upload your proof below.
Given: M is the midpoint of CD; CM = 5x – 2; MD = 3x + 2
Prove: x = 2
Answers
The required two column proof is explained below.
What is a midpoint?A midpoint is a point which divides a line segment into two equal parts. Thus it can be referred to as the middle point of the line segment.
The two column proof for the information is given as:
M is the midpoint of CD (Given)
CD = CM + MD (addition property of a line segment)
CM = MD (definition of a midpoint)
So that;
5x – 2 = 3x + 2 (Definition of midpoint)#
Then,
5x - 3x = 2 + 2 (collecting like terms)
2x = 4
x = 2
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Your best friend is really struggling with their math class. You passed the same class last term with an A, so you’ve been helping them do practice problems and double-checking their homework. The professor has given them a take-home exam for their mid-term, and they want your help completing the exam. Is this an academic integrity violation? Why or why not? How would you handle this situation, and why would you handle it in that way?
Answers
Answer:
no
Step-by-step explanation:
you have done your part by helping in their study session,if you help them cheat you will suffer the consequences if he/she is caught,
This is an academic integrity violation because it is against honesty rules, the best would be to offer assistance to your friend.
Is this an academic integrity violation?Academic integrity encompasses principles of honesty, fairness, and trustworthiness in academic pursuits. It generally includes a commitment to originality and independent work. Assisting someone in completing an exam, especially a take-home exam, where individual effort and understanding are expected, would likely violate academic integrity policies.
Handling this situationHandling the situation ethically and responsibly would involve respecting the academic rules and ensuring fairness for all students. Instead of directly completing the exam for your friend, you can offer assistance by explaining concepts, providing guidance on problem-solving approaches, or reviewing their completed work to identify errors or areas for improvement. This way, you can help your friend learn the material and develop their own understanding, without compromising academic integrity.
Encourage your friend to seek additional help from their professor, teaching assistants, or tutoring services provided by the institution. They can also engage in group study sessions or form study groups with classmates, which promote collaborative learning while maintaining individual effort.
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6E and 7 with full explanation
Answers
Answer:
See below ~
Step-by-step explanation:
Question 6(e) :
⇒ x² ≤ 16
Take square root on each side :
⇒ √x² ≤ √16
⇒ x ≤ 4 and x ≥ -4
⇒ -4 ≤ x ≤ 4
⇒ x² ≤ 16
Apply the absolute rule if x² < a then -√a < x < √a
⇒ -√16 ≤ x ≤ +√16
⇒ -4 ≤ x ≤ 4
Part 7First of all, The student should have subtracted both sides by 4
What he should have done:
\(\rightarrow \sf \dfrac{3}{x-2} > 4\)
\(\rightarrow \sf \dfrac{3}{x-2} -4 > 4 -4\)
\(\rightarrow \sf \dfrac{3}{x-2} -\dfrac{4(x-2)}{x-2} > 0\)
\(\rightarrow \sf \dfrac{3-4(x-2)}{x-2}} > 0\)
\(\rightarrow \sf \dfrac{3-4x+8}{x-2}} > 0\)
\(\rightarrow \sf \dfrac{-4x+11}{x-2}} > 0\)
\(\sf \large \boxed{\sf {\left \{ {{-4x+11 = 0} \atop {x-2 = 0}} \right. }}\)
⇒ -4x + 11 = 0, x - 2 = 0
⇒ -4x = -11, x = 2
⇒ x = 11/4 , x = 2
Solution satisfying the inequality:
⇒ 2 < x < 11/4
Kayak wants to find 2 2/3 divided (- 1 3/7). She first rewrites the division as (2 2/3) ( 1 7/3)
Answers
Using fraction multiplication, the answer of 2 2/3 divided by -1 3/7 is \(\frac{-4}{5}\)
What does multiplication in mathematics mean?It is stated as "a multiplied by b" when two numbers, let's say "a" and "b," are multiplied. Multiplication in mathematics is essentially just adding a number repeatedly in relation to another number. For instance, if we multiply 2 by 3, then means that 3 gets multiplied by itself twice, meaning 3 + 3 = 6.
Given,
we are to divide 2 2/3 by -1 3/7
\(\frac{8}{3}\) × \(\frac{-3}{10}\)
⇒ \(\frac{-4}{5}\)
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Find the surface area of a basketball with a diameter of 10 in.
400π in²
10π in²
100π in²
25π in²
Answers
Answer:
100 pie
Step-by-step explanation:
Find the surface area of a basketball with a diameter of 10 in.
100π in²
10π in²
400π in²
25π in²
The surface area of the basketball is 100π square inches.
The correct option is C.
What is the surface area of a sphere?The area of the outer surface of a sphere is the surface area of a sphere.
And its formula:
The surface area of the sphere is 4πr².
Where r is the radius of the sphere.
Given:
The shape of the basketball is spherical.
The diameter of the basketball is 10 inches.
So, the radius of the basketball = 10/2 = 5 inches.
The surface area of the basketball,
= the surface area of the sphere.
= 4πr²
= 4π(5)²
= 2π25
= 4 x 25π
= 100π square inches.
Therefore, the surface area is 100π square inches.
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