Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.
A. (x + 1)(x-7)
B. (x + 1)(x + 7)
C. (x - 1)(x-7)
D. (x - 1)(x + 7)
Answers
The factored form of the related polynomial function is (x - 1)(x - 7).
What is polynomial function ?Polynomial function is a function that involves non-negative integer powers or positive integer exponents of a variable in an equation like the quadratic equation, cubic equation.
We have,
In the graph given in question, we can see that x - intercepts the axis twice.
And graphs behave differently at various x - intercepts. Sometimes the graph will cross over the x-axis at an intercept and other times the graph will touch the x-axis and bounce off.
Now, in graph;
The intercept at x = 1 ,
i.e. the solution of the x - 1 = 0 and passes through the axis.
Now,
The x - intercept at x = 7, is the solution of x - 7 = 0 and again passes through the axis.
So, from the above statements we can say that the factored form of the related polynomial is (x - 1)(x - 7)
Thus, we can say that the factored form of the related polynomial function is (x - 1)(x - 7).
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Related Questions
Simplify.
6⁴
౼
6²
simplify that
Answers
Step by step: when the coefficient of the power is the same number, it has different rules so for division it’s just subtracting the powers which are 4-2
Answer:
6⁴/4²
Since, a^m/a^n = a^m-n
→ 6^4-2
→ 6^2
→ 6*6 = 36 Ans.
Hai thinks there must be about 600 sprinkles on his donut. Hai starts by eating 25% of the donut. About how many sprinkles does he eat?
Answers
.25 is equal to 25%. .25 times 600 is 150.
You can verify this by multiplying 150 by 4.
Answer:
45
Step-by-step explanation:
in real life when do you think it would br helpful to know to calculate slope
Answers
Answer:
When ur going down it
Step-by-step explanation:
Laura deposited $12,000 into an account that earns 8% interest. How much money will
she have in 5 years if the interest is compounded quarterly?
Answers
9514 1404 393
Answer:
$17,831.37
Step-by-step explanation:
The compound interest formula is useful.
A = P(1 +r/n)^(nt)
A = $12,000(1 + .08/4)^(4·5) = $12,000(1.02^20)
A = $17,831.37
Laura will have $17,831.37 in 5 years.
Things that are equivalent to 5 : 2
Answers
Answer:
2/5
Step-by-step explanation:
Answer:
10 : 4, 15 : 6, 20 : 8,
Step-by-step explanation:
increase the first number by 5 then add two to the second number
A stone falls from a train trestle. The stone's height in meters above the ground is modeled by the function h(t)=−4.9t2+155 where t is time in seconds. To the nearest tenth of a second, how long does it take the stone to hit the ground? State what strategy you will use to answer the question, and then find the answer.
Answers
Answer:
5.6s
Step-by-step explanation:
Given the height reached by the stone modeled by the equation
h(t)=−4.9t2+155 where t is time in seconds.
The stone hits the ground at h(t) = 0
Substitute
0 = -4.9t²+155
4.9t² = 155
t² = 155/4.9
t² = 31.63
t = ±√31.63
t = 5.62seconds
Hence it will take 5.6s to reach the ground(to the nearest tenth)
Joe determined the mass of 2 boxes using a scale. Since the cost of each box is the same, Joe would like to choose the box with the larger mass. Box A Box B 32.012 kg 32.02 kg Place the correct symbol between the 2 masses to help Joe decide. 32.012 Response area 32.02
Answers
Answer:
32.012 kg < 32.02 kg
Step-by-step explanation:
32.012 kg < 32.02 kg
A particular country has 60 total states. If the areas of all 60 states are added and the sum is divided by 60, the result is 187,626 square kilometers. Determine whether this result is a statistic or a parameter.
Answers
Answer: Before solving the given question, let us understand what the parameter and statistic is:
Parameter: Parameter is a number that summarizes data for an entire population. Like Population mean Population standard deviation
Statistic: Statistic is a number that summarizes data for a sample. Like sample mean sample standard deviation .
From the given information, we can clearly see that given characteristic describes the population.
Therefore, the option d is correct
d. the result is a parameter because it describes some characteristic of a population. is correct.
Explanation: https://brainly.com/question/10888941
(−3⋅10^3 )⋅(4⋅10^6)=???
Answers
Answer:
-1.19164 x 10^8
Step-by-step explanation:
The radius of a circle is 14.2 ft. Find the circumference
to the nearest tenth.
Answers
Answer:
89.22123136
Step-by-step explanation:
Answer:
The answer is 89.2 :)
Step-by-step explanation:
Which of these statements is correct? Select all that apply.
A. A solution to the equation x
2 = 7 is x = √49
B. A solution to the equation x
2 = 15 is x = √15
C. A solution to the equation x
2 = 38 is x = ³√38
D. A solution to the equation x
3 = 3 is x = ³√27
Answers
Answer:
A and B lowkey don't feel like doing the rest cause I'm slow
Step-by-step explanation:
which one of the following is NOT a polynomial option 1. x^2-2x+3 option 2. 11x-9. option 3. 3/y
Answers
Answer:
option 3
Step-by-step explanation:
A_____is a ratio that compares two measures
Answers
Answer:
rate
Step-by-step explanation:
A rate is a ratio that compares two different quantities that have different units of measure.
Tina and Lane share a 16-ounce box of cereal. By the end of the week, Tina has eaten 3/8 of the box, and Lane has eaten 1/4 of the box of cereal. How many ounces are left in the box?
Answers
Answer:6 ounce of cereal are left in the box
Step-by-step explanation:
Total amount of cereal = 16 ounce
Amount of cereal eaten by Tina= 3/8 X16= 6ounce
Amount of cereal eaten by Lane= 1/4 X16= 4ounce
Amount of cereal left = Total amount of cereal -Amount of cereal eaten by Tina and Lane
=16- ( 6+4)
16-10
= 6 ounce of cereal remaining
PLEASE HURRY!!!
The probability of landing on blue when spinning a spinner is 4/5 choose the likelihood that best describes the probability of this event
A. Neither likely nor unlikely
B. Unlikely
C. Certain
D. Likely
Answers
Answer:likely tell me if im wrong
Probability helps us to know the chances of an event occurring. The likelihood that best describes the probability of this event is Likely.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given the probability of landing on blue when spinning a spinner is 4/5, therefore, there are 80% chances that the spinner will land on blue.
Hence, the likelihood that best describes the probability of this event is Likely.
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Sam and Nathan are training for a race. Monday, Sam ran 2 ¾ miles, and Nathan ran 2 ⅓ miles. How much farther did Sam run than Nathan?
Answers
Answer:
1/2 - 1/5
1 1/5 - 2/3
Step-by-step explanation:
What are three other names for range. ( This is for algebra)
Answers
dimension.
length.
scope.
Please please help I will give brainliest
Answers
Answer:
67
4*4*4=64
64+3=
67
Find the value of x.
A. 90
B. 70
C. 20
D. 50
Answers
Answer: B. 70
Step-by-step explanation:
i actually can't tell but i think this is right
What is (f + g)(x)?
f(x) = -4x
g(x) = -x^2 + 6x
Answers
Student A's scores have a standard deviation of 5.4 and Student B's scores have a standard deviation of 10.6. What does Student B's higher standard deviation mean of his/her test scores?
Answers
Answer:
Student B's score has a greater variation from the mean than student A's score
Step-by-step explanation:
Student A : standard deviation = 5.4
Student B : standard deviation = 10.6
The standard deviation is used to measure the degree of variability of a measured value from the mean or average value of the set. The higher the value of standard deviation, the greater the variabilityabiut the mean. Hence for the question given above, Student B's score varies greatly from the mean Than student A's score.
A basket holds n apples. You pick (2n − 3) apples, and your friend picks (n + 4) apples.
How many baskets would you need if you collected 10 apples with your friend?
Answers
Answer:The equation would be 3n+1 apples.
Step-by-step explanation:
What is the additive inverse of -7?
O A. -7
O B. 7
C. -|-7|
D. -(-(-7))
Answers
Answer:
B
Step-by-step explanation:
Jeanette wants to tile the floor of a room in her house. The square tiles measure 3/4 ft on each side. The room is 10 ft wide.
a. Write an inequality to describe how many tiles are needed to make one row of tiles across the width of the room.
b. Solve the inequality.
c. How many tiles should Jeanette buy to form one row?
A. [tex]\frac{3}{4}[/tex]t[tex]\geq[/tex]10; t[tex]\geq[/tex]13[tex]\frac{1}{3}[/tex]; 7[tex]\frac{1}{2}[/tex]
B. [tex]\frac{3}{4}[/tex]t [tex]\geq[/tex]10; t[tex]\geq[/tex]13[tex]\frac{1}{3}[/tex]; 13[tex]\frac{1}{3}[/tex]
C. [tex]\frac{3}{4}[/tex]+t[tex]\geq[/tex]10; t[tex]\geq[/tex]9[tex]\frac{1}{4}[/tex]; 10
D. [tex]\frac{3}{4}[/tex]t[tex]\geq[/tex]10; t[tex]\geq[/tex]13[tex]\frac{1}{3}[/tex]; 14
Answers
Answer:
D. 3/4>=10; t>=13 1/3; 14
Step-by-step explanation:
Solving the above inequality.....
So, Jeanette should buy 14 tiles to form one row.
Write a rule for the linear function shown in the graph.
y = 4x – 3
y = –x + 4
y = 2x + 5
y = 1/4x +1
Answers
Answer: Answer is A. y = 4x - 3
Graph the line using the slope and y-intercept, or two points.
Slope: 2/ 5
y-intercept: ( 0 , − 1 )
x y
0 − 1
5/ 2 0
Step-by-step explanation:
How do you graph y=4x-3?
In graphing an equation, a very valuable graphing technique is the ability to recognize the kind of graph that a certain type of equation produces.
Any equation that is of the form y = mx + b is in the "slope-intercept" form for the equation of a straight line, where x and y are variables, where “m” is a real number representing the slope of a line, and where “b” is a real number representing the y-intercept of a line , i.e., the y-coordinate of the point of intersection between a straight-line graph and the y-axis.
Since the given equation y = 4x ‒ 3 is in the slope-intercept form, where m = 4 and b = ‒3, then it’s a linear equation and its graph is a straight line. Also, looking at the given equation, we know that the independent variable x can take on any real number as a replacement.
Now that we know that the graph of the given equation is a straight line and that there are no restrictions on the variable x, we need to determine and then draw the straight-line graph on a Cartesian (rectangular) coordinate system with the y-axis as the vertical axis and the x-axis as the horizontal axis. We know that two points determine a straight line; So, all we need to do is find the point where the straight-line graph of the given equation y = 4x ‒ 3 intersects the x-axis, i.e., the point of the x-intercept, and find the point where the straight-line graph of y = 4x ‒3 intersects the y-axis, i.e., the point of the y-intercept. Also, it would be a good idea to plot a third point as a check.
(1.) Determining the point of the x-intercept:
For any point on the x-axis, the y-coordinate is zero; therefore, in our given equation, let y = 0 and solve for x as follows:
y = 4x ‒3
0 = 4x ‒3
0 + 3 = 4x ‒3 + 3
(1/4)(4x) = (1/4)(3)
x = 3/4
Therefore, the x-intercept is x = 3/4, and the graph of the given equation y = 4x ‒3 intersects the x-axis at the point (3/4, 0).
(2.) Determining the point of the y-intercept:
To get the y-intercept, we can simply select it from the given equation y = 4x ‒3 which is already in slope-intercept form (y = mx + b), i.e., y = 4x ‒3 or y = 4x + (‒3); therefore, the y-intercept of the straight-line graph of the given equation is y = b = ‒3, which is the y-coordinate of the point of intersection between the straight-line graph of the given equation and the y-axis. Also, for any point on the y-axis, the x-coordinate is zero; therefore, the straight-line graph of the given equation intersects the y-axis at the point (0, ‒3).
(3.) Check Point
In generating a third point as a check point, choose a convenient value for x so that the corresponding value for the dependent variable y is nice and even. Let x = 2, then:
y = 4x ‒3
= 4(2)‒ 3
= 8 ‒ 3
y = 5
Consequently, the third point (check point) on the straight-line graph of the given equation is (2, 5).
(4.) Plot the points
Now, create the straight-line graph of the given equation by plotting the three points: (3/4, 0), (0, ‒3), and (2, 5) on a Cartesian (rectangular) coordinate system, and then use a straight edge to draw the straight line through all three plotted points. Draw the line past the two outer points and then draw an arrowhead at each “end” of the line to show that the line goes on indefinitely in both directions. NOTE: If the third point (2, 5)(the check point) is not on the drawn line, then go back and look for an error. The error was either made in finding the x- and y-intercepts, or the error was made in generating the coordinates of the check point, or both. When the error is found, make the appropriate correction(s), and then redraw the graph (straight line) of the given equation.
These are four steps that you can use to graph the given equation y = 4x ‒3 or any equation that is in the slope-intercept form for the equation of a straight line: y = mx + b.
1) -5n – 4n ?????????????????????????????????????????
Answers
Answer: =−9n
Step-by-step explanation: hope this help
-5n-4n
=-5n-4n
=-5n+-4n
=-n+-n+-n+-n+-n+-n+-n+-n+-n
=-9n
helpppp meeeee pleaseeeeeeeeee
Answers
2. The weather forecast calls for 12 cm of snow. How many inches
can you expect?
4. You have a 1.5 gal jug. How many litres will it hold?
5. Joe is travelling in the United States. A road sign indicates he is
228 mi from his destination. How many kilometres is Joe from
his destination?
Answers
Answer:
2. 1 inch
4. 5.68 liters(if we estimate)
5. 366.96 kilometers
Step-by-step explanation:
2. centimeters to inches
4. gallons to liters
5. miles to kilometers
What is on the twentieth floor .it goes Down 11 floors and then up 5 floors what floor is the elevator now
Answers
Answer:
6th floor
Step-by-step explanation:
solve each equation by substitution:
y = 6x - 17
y= -4x +23
Answers
Answer:
[tex]y = 6x - 17 \\ y = - 4x + 23 \\ then \\ 6 x - 17 = - 4x + 23 \\ 10x = 40 \\ x = 4 \\ y = 7[/tex]