Answers
The x-intercepts of the function are 10, and -8.
y-intercept is: -80.
The zeros are: x = 10 and x = -8
f(2) = -80
f(x) = -65 when x = 5 or -3.
What is the Y-intercept and the X-intercept of a Function?The y-intercept of a function is the output (y) when the input value (x) is zero. On the other hand, the x-intercept is the input value (x), when the output value (y) is zero.
What are the Zeros of a Function?The zeros of a function are the x-intercepts of a function.
Given the function, f(x) = x² - 2x - 80, substitute f(x) = 0 to find the value of x, which is the x-intercept:
0 = x² - 2x - 80
x² - 2x - 80 = 0
Factorize
(x - 10)(x + 8)
x = 10 or x = -8
Substitute x = 0 into the function to find the y-intercept:
f(0) = 0² - 2(0) - 80
f(0) = -80
x-intercepts are 10, and -8.
y-intercept is: -80.
The zeros are: x = 10 and x = -8
Find f(2):
f(2) = (2²) - 2(2) - 80,
f(2) = 4 - 4 - 80
f(2) = -80
Find x when f(x) = -65:
-65 = x² - 2x - 80
-65 + 80 = x² - 2x
15 = x² - 2x
x² - 2x - 15 = 0
Factorize
(x - 5)(x + 3) = 0
x = 5; x = -3
Therefore, f(x) = -65 when x = 5 or -3.
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Related Questions
A train leaves city A at 0800 h and travels at a uniform speed of 60 kmh¹ towards city B. Another train leaves city B at the same instance and travels at a uniform speed of 40 kmh¹ towards city A. If the distance between the two cities A and B is 100 km, calculate the time at which the two trains pass each other.
Answers
The 100 km difference between the two cities takes two trains to pass each other in 5 hours.
What do time, distance, and speed mean?The relationship between speed, distance, and time is described using the formula of speed, distance and time.
That is speed = distance/time.
What is relative speed?The velocity of an object in relation to another observer is referred to as the relative speed.
Given:
A train departs from city A and moves toward city B at a constant speed of 60 km/h and time taken is 8 hours.
At the same time, a second train departs city B and heads toward city A at a constant speed of 40 km/h.
The relative speed of first train with respect to the second train = 60-40
= 20 km/h
It is given that the two cities A and B are located 100 kilometers apart from one another.
So, distance between both cities = 100 km
By using the speed formula,
Speed = Distance/Time
Time = Distance/Speed
Time = 100/20
∴ Time = 5 hours
Consequently, it takes 5 hours for the two trains to pass one another with 100 km distance between two cities.
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Which of the following are characteristics of the graph of the linear parent
function?
Check all that apply.
A. It is a straight line.
B. It goes through the origin.
C. It is a parabola.
D. It has a slope of 1.
Answers
What is the prime factorization of 621?
Answers
Answer:
[tex]621 = {3}^{3} \times 23[/tex]
Step-by-step explanation:
[tex]621 \div 3 = 207[/tex]
[tex]207 \div 3 = 69[/tex]
[tex]69 \div 3 = 23[/tex]
[tex]621 = 3 \times 3 \times 3 \times 23 = {3}^{3} \times 23[/tex]
Find the inverse function in slope-intercept form (mx+b): f(x)=-x-2
Answers
invers...x=(3/5)*(y-5)
Answer:
[tex]f {}^{ - 1} (x) = - x - 2[/tex]
Solve the equation for x.
1=0.4x - 0.8x - 35
What does x equal
Answers
Answer:
x = - 90
Step-by-step explanation:
1 = 0.4x - 0.8x - 35 ( add 35 to both sides )
36 = - 0.4x ( divide both sides by - 0.4 )
- 90 = x
Given:
A = [ 1 -1 -2 3]
B = [ 1 5 8 -8 ]
C = [ 1 2 3 4 ]
Solve: AX + B = C
Answers
Answer:
[-5 3] [-5 6]
Step-by-step explanation:
Answer:
Your answer is on the pic...mate
what is the scale of a map in 1cm on the map is 2km in real life
Answers
Answer:
1cm:2km
Step-by-step explanation:
you ratio both of the answers which shows that 1cm on the map represents 2km in reality.
Keaton drew an equilateral triangle on the computer. If the perimeter of the triangle is 29.4 centimeters, the length of a side of the triangle is
centimeters.
Answers
the length of a side of the triangle is
Step-by-step explanation:
we know that
An equilateral triangle has three equal sides and three equal angles
The perimeter of an equilateral triangle is equal to
where
b is the length side of an equilateral triangle
In this problem we have
Substitute in the formula and solve for b
Divide by both sides
A property map is drawn at a scale of 1:1000. Calculate the corresponding actual distance if the distance between two points on the map is 4.9cm
Answers
A property map is drawn at a scale of 1:1000, if the distance between two points on the map is 4.9cm. then the actual distance is = 4.9 * [tex]10^{3}[/tex]
A property map is drawn at a scale of 1:1000
The distance between two points on the map is 4.9cm
Based on the given conditions, formulate :
= 4.9 * 1000/1
= 4.9 * 1000
Calculate the product or quotient,
= 4900
This alternative forms is,
= 4.9 * [tex]10^{3}[/tex]
Therefore,
The actual distance is = 4.9 * [tex]10^{3}[/tex], if the distance between two points on the map is 4.9cm.
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please answer the question in the photo.
Answers
Considering when a triangle is formed given three sides, the code for the puzzle is given as follows:
BBBACC
What is the condition for 3 lengths to represent a triangle?In a triangle, the sum of the lengths of the two smaller sides of the triangle has to be greater than the length of the greater side of the triangle.
For the first letter, we have two sides, hence there are many possible values for the third side x, as long as 2.5 + x > 8, for x < 8 or x < 10.5, for x > 8, hence the first letter of the code is of B.
For the second letter, 4 + 7 < 19, hence no triangle can be formed with these dimensions and the letter is of B.
For the third letter, 2 + 4 > 5, hence one unique triangle can be formed with all the dimensions given and the letter is of B.
For the fourth letter, 6 + 8 > 12, hence one unique triangle can be formed with all the dimensions given and the letter is of A.
For the fifth letter, we have two sides, hence there are many possible values for the third side x, as long as 1 + x > 2.4, for x < 2.4 or x < 3.4, for x > 2.4, hence the letter is of C.
For the sixth letter, 5 + 9 > 13, hence one unique triangle can be formed with all the dimensions given and the letter is of C.
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(10x-18)
B (15x+48)°
Name the relationship
Solve for x
X=
What is the measure of angle B
degrees
Answers
Answer:x=-13+1/5
Step-by-step explanation:
10x-18=15x+48
We move all terms to the left:
10x-18-(15x+48)=0
We get rid of parentheses
10x-15x-48-18=0
We add all the numbers together, and all the variables
-5x-66=0
We move all terms containing x to the left, all other terms to the right
-5x=66
x=66/-5
x=-13+1/5
42. MODELING REAL LIFE The graphs show the weight restrictions w (in tons) for vehicles with (a) axles, (b) axles, and (c) axles traveling on state roads. For each type of vehicle, write and interpret an inequality that represents the weight restriction (in ).
Answers
The inequalities that model each situation are given as follows:
a. w ≤ 20, meaning that vehicles with two axles can weight at most 20 tons.
b. w ≤ 30, meaning that vehicles with three axles can weight at most 30 tons.
c. w ≤ 40, meaning that vehicles with four axles can weight at most 40 tons.
Which inequalities models each situation?In each inequality, the plotted numbers are the numbers to the left, with a closed circle, hence:
The numbers to the left means that the numbers less than the value are part of the solution of the inequality.The closed circle means that the bound is a solution to the inequality.In item a, we have that for vehicles with 2 axles, the upper weight limit is of 20 tons, hence the inequality is:
w ≤ 20.
In item b, we have that for vehicles with 3 axles, the upper weight limit is of 30 tons, hence the inequality is:
w ≤ 30.
In item c, we have that for vehicles with 4 axles, the upper weight limit is of 40 tons, hence the inequality is:
w ≤ 40.
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Which of these are like terms? Select all that apply.
3 d
-6 ad
0.75 d
Please help
Answers
The likely terms that are the same based on the information include 3/4a³ and 0.75a³.
How to illustrate the information?It should be noted an equation is used to show the relationship between the variables that are given.
In the question, the likely terms that are given include: 3d, 3/4a³, -6ad, and 0.75a³.
It should be noted that the expressions that are the same include 3/4a³ and 0.75a³. This is because 3/4 is the same as 0.75 in decimal.
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which distribution is appropriate when counting the number of successes in n trials if the probability of success p remains constant from trial to trial? multiple choice question.
Answers
When counting the number of successes in n trials, the (D) binomial distribution should be used if the success probability, p, stays constant from trial to trial.
What is binomial distribution?When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution. The probability of observing a specific number of successful outcomes in a specific number of trials is determined by the binomial distribution. When counting the number of successes in n trials, the binomial distribution should be used if the success probability p stays constant.For the trials we are looking at, the probability of receiving success in a binomial distribution must stay constant. Since there are only two possible outcomes when tossing a coin, for instance, the probability of flipping a coin is 12 or 0.5 for each trial we conduct.As it is given in the descrip[tion itself that the probability of observing a specific number of successful outcomes in a specific number of trials is determined by the binomial distribution.
When counting the number of successes in n trials, the binomial distribution should be used if the success probability p stays constant.Therefore, when counting the number of successes in n trials, the (D) binomial distribution should be used if the success probability, p, stays constant from trial to trial.
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The complete question is given below:
Which distribution is appropriate when counting the number of successes in n trials if the probability of success p remains constant from trial to trial?
(A) Normal Distribution
(B) Power Normal Distribution
(C) Extreme Value Type Distribution
(D) Binomial Distribution
Determine the degree measure measure of One angle of a 30 sided regular polygon.
5400°
5040°
180°
168°
Answers
The degree measure of one angle of a 30 sided regular polygon is 168°
What is a regular polygon?A two-dimensional geometric shape with a finite number of sides is called a polygon. A polygon's sides or edges are made up of segments of straight lines that are joined end to end to create a closed shape.
The intersection of two lines is referred to as a vertex or corner, and an angle is created as a result. Regular polygons are those that have sides that are congruent.
We will use the side-angle relation of a regular polygon with any no. of sides to find total sum of interior angles that is
(Side - 2) × 180°
(30 - 2) × 180°
= 5040°
Measure of each angle of 30-gon
= 5040°/30
= 168°
Thus, the degree measure measure of One angle of a 30 sided regular polygon is 168°
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Answer: 168
Step-by-step explanation: did the test
What is the area of this face?
20in.
10in.
10in.
5in.
5in.
10in.
10in.
100 in2
200 in2
150 in2
400 in2
Answers
Answer:200 in^2
Step-by-step explanation:
Question 1
If your train travels at 65 miles per
hour for 3.5 hours, how far will it
go?
Answers
If your train travels at 65 miles per hour for 3.5 hours, it go 227.5 miles.
What is Speed ?
Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.
Given:
Speed S = 65 miles per hour
Time T = 3.5 hours
We know that,
S= D/T Where D is the distance traveled.
Therefore,
65 miles per hour = D/ 3.5 hours
D = 65 x 3.5 miles
=227.5 miles
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5a-b=7 for a
Help please
Answers
im very confused by this question
Answers
Answer:
x<3
Step-by-step explanation:
4x<5+7
4x<12
x=12÷4
x=3
3. Suppose that the function f(x) = 7x + 2 represents the number of cars that drive by in x minutes.
How many cars will drive by in 10 minutes?
27
70
72
90
Answers
72
Shelby bought a painting for d dollars. She was charged a 7% sales tax for the painting. Which expression correctly shows the total price that Shelby paid for the painting?
Answers
Answer:
The expression is 1.07d.
What is the best app to earn 1000 subscribers and 4000 public watch hours free online?
Answers
what will be the value of k so that the equation [tex]kx^{2} -4x+1[/tex] has two equal roots (same roots)
Answers
The value of k so that the equation has two equal roots is 4
What are quadratic equations?Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
How to determine the value of k in the equation?The quadratic equation is given as
kx^2 - 4x + 1
A quadratic equation is represented as
ax^2 + bx + c
This means that
a = k, b = -4 and c = 1
When the equation has equal roots, we have
b^2 = 4ac
So, we have
(-4)^2 = 4 * k * 1
Evaluate
k = 4
Hence, the value of k is 4
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The distinct lines ABC and deer in the same place tell how Line A. And line B. related to each other justify your answer a ll b,b ll c,c | d
Answers
Line A is perpendicular to D because a is parallel to c and c is perpendicular to d.
How are parallel straight lines related?Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope. Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.
WE have been given that a ll b,b ll c,c is perpendicular to d.
Here the line a is parallel to b and b is parallel to c so a must be parallel to c.
As we know that c is perpendicular to d since, a is parallel to c.
Therefore, Line A is perpendicular to D because a is parallel to c and c is perpendicular to d.
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t + –9.7 = 0.39
t=___
Answers
Answer:
t = 10.09
Step-by-step explanation:
Answer in the picture below!
The height in inches of two different groups of students in Mrs. Zamensky’s class are listed below.
Group A: 51, 53, 60, 64, 55
Group B: 50, 55, 58, 63, 52 Which statement is true about the heights of each group of students? Responses Group A has greater variability in students’ heights. Group A has greater variability in students’ heights. Group B has a greater mean for the students’ heights. Group B has a greater mean for the students’ heights. The variability in students’ heights of both groups is the same. The variability in students’ heights of both groups is the same. The mean for the heights of both groups of students is the same.
Answers
The range for both groups are the same, therefore: C. The variability in students’ heights of both groups is the same.
How to Determine the Variability and Mean of a Data Set?To find the mean of a data set, sum all data points given together and divide what you get by the number of data points that is given in the data set.
The range of a data gives us an idea of the spread of a data, which is a measure of variability. The larger the range, the more the variability that exist in the data set.
Given, Group A: 51, 53, 60, 64, 55, and Group B: 50, 55, 58, 63, 52, find the mean of each data set
Mean for Group A = (51 + 53 + 60 + 64 + 55)/5 = 283/5 = 56.6
Mean for Group B = (50 + 55 + 58 + 63 + 52)/5 = 278/5 = 55.6
Range for Group A = 64 - 51 = 13
Range for Group B = 63 - 50 = 13
This means that variability in students’ heights is the same for both group A and B.
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What is 4 9/16 - 2 1/4
Answers
Answer:
Exact Form:
37/16
Decimal Form:
2.3125
Mixed Number Form:
2 5/16
Step-by-step explanation:
4. A bird is flying at 385 feet
above sea level. A fish is
swimming at 197 feet below
sea level. What is the
difference in their
elevation
Answers
Answer: their difference in elevation is 188 feet
Step-by-step explanation:
PLEASE HELP ILL MARK BRAINEST.
Answers
1) The value of x that would make m║n is; x = 13
2) The value of x that would make m║n is; x = 14
3)a) The angles are congruent by alternate interior angles postulate.
b) The angles are congruent by linear pairs postulate.
c) The angles are congruent by corresponding angles postulate.
How to find corresponding angles?When two parallel lines are intersected by a third one, the angles that occupy the same relative position at each intersection are known to be corresponding angles to each other.
1) From definition of corresponding angles, line m is parallel to line n and as such, we can say that;
2x + 12 = 38
2x = 38 - 12
2x = 26
x = 13
2) From definition of corresponding angles, line m is parallel to line n and as such, we can say that;
3x + 41 = 8x - 29
8x - 3x = 41 + 29
5x = 70
x = 14
3) a) From definition of alternate interior angles, we can say that yes the angles are congruent by alternate interior angles postulate.
b) Linear pair of angles are formed when two lines intersect each other at a single point. Thus, the angles are supplementary and add up to 180° and they are congruent by linear pairs postulate.
c) The angles are congruent by corresponding angles postulate.
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72.1 x 1.3 show work
Answers
Answer:
93.73
Step-by-step explanation:
72.1
x 1.3
_____
93.73