Answer:
-7
Step-by-step explanation:
Because zero is the x, so x=-7 then it's -7
The zeros of the polynomial function is x = 7, x = 3, and x = 4 if one factor of f(x) = x³ − 14x² + 61x − 84 is (x − 7).
What is a polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
It is given that:
f(x) = x³ − 14x² + 61x − 84
One factor is (x - 7)
The cubic polynomial can be written as:
f(x) = (x - 7)(x² - 8x + 12)
Or
f(x) = (x - 7)(x - 3)(x - 4)
To find the zeroes equate to zero:
f(x) = 0
(x - 7)(x - 3)(x - 4) = 0
x = 7, x = 3, and x = 4
Thus, the zeros of the polynomial function is x = 7, x = 3, and x = 4 if one factor of f(x) = x³ − 14x² + 61x − 84 is (x − 7).
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Monthly private school tuition based on the average number of weeks in attendance is predicted using the least-square regression line, ŷ = 265.9 + 93.4x, where ŷ represents the predicted monthly expense and x represents the average number of weeks in attendance. A child attends private school an average of 3.5 weeks and has a monthly cost of $595. What is the residual for the child?
A. −2.2
B. 2.2
C. 3.52
D. −3.52
E. 90.7
Answer:
B) 2.2
Step-by-step explanation:
i took the test :)
The residual for the child will be 2.2. Then the correct option is B.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function.
Monthly private school tuition based on the average number of weeks in attendance is predicted using the least-square regression line.
y = 265.9 + 93.4x, where y represents the predicted monthly expense and x represents the average number of weeks in attendance.
A child attends private school an average of 3.5 weeks and has a monthly cost of $595.
Then the residual for the child will be
⇒ 595 – (265.9 + 93.4 × 3.5)
⇒ 595 – (592.8)
⇒ 2.2
Then the correct option is B.
More about the function link is given below.
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PLEASE HELP
Josue is planning to host a big Thanksgiving Meal Pick Up service to raise money for the local food bank. He will be selling prepared meal boxes that will feed 4-6 people for $60. His friends and several local churches and organizations are happy to help. In fact, some of the food used will be donated to his cause. Unfortunately, his project will not be cost-free. He will need to rent a kitchen for $200 and spend $400 on food to be able to make the meal boxes. Write an equation that models his total profits and define each variable used. How many boxes must he sell to raise at least $10,000 for the food bank?
A 12oz iced tea at a restaurant has 84 calories. How many calories are there in a 18oz iced tea?
126
12=84
6=42
84+42=126
Hope this helps!!! Have an amazing night!!!!
What is the equation of the line in slope-intercept form that is perpendicular to the line y = -x-2 and passes
through the point (-12, 10)?
O y=-x-6
O y=-x + 6
Oy= x + 26
O y = x + 10
The equation of the line that is perpendicular to y = -x - 2 and passes through the point (-12, 10) is y = x + 22 in slope-intercept form.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The given line has a slope of -1, since it is in the form y = mx + b, where m is the slope, and in this case, m = -1.
To find the equation of the line that is perpendicular to this line,
We need to use the fact that the product of the slopes of two perpendicular lines is -1.
Let the slope of the perpendicular line be m'.
Then:
-1 x m' = -1
m' = 1
So the slope of the perpendicular line is 1.
We also know that the perpendicular line passes through the point (-12, 10).
Using the point-slope form of the equation of a line, we have:
y - y(1) = m' (x - x(1))
Substituting m' = 1 and (x(1), y(1)) = (-12, 10),
We get:
y - 10 = 1 (x + 12)
Simplifying this equation gives:
y = x + 22
Thus,
The equation of the line that is perpendicular to y = -x - 2 and passes through the point (-12, 10) is y = x + 22 in slope-intercept form.
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A local orange grower processes 2,330 oranges from his grove this year. The oranges are packaged in crates that each holds 96 oranges. All but one crate is full. How many oranges are in the last crate?
Answer:
13
Step-by-step explanation:
Given parameters:
Number of oranges processed by grower = 2330 oranges
Number of oranges per crate = 96
Unknown:
Number unpacked oranges
Solution:
To solve this problem, divide the total number of oranges by the number of oranges per crate;
Number of unpacked oranges = [tex]\frac{2330}{96}[/tex]
Number of unpacked oranges = 24 [tex]\frac{13}{48}[/tex]
The remaining unpacked is 13.
Carl spent $140 in six days. He spent $20 on the first day. He spent the same amount of money during the next five days Helpppp! 100 POINTS
Answer:
He spent $24
Step-by-step explanation:
it is 24
hope it helps
solve the equation pls and ty
Answer: No real solutions.
express in standard form 24.12
The circumference of a circle is 53.38 cm. The radius of the circle is 8.5 cm.
Which expression best represents the value of *sign*
Answer:6.28
Step-by-step explanation:
Expression that best represents value of π is C/2r,
Value of π used to calculate circumference is 3.14
What is circle?A circle is a plane figure bounded by one curved line, and such that all straight lines drawn from a certain point within it to the bounding line, are equal. The bounding line is called its circumference and the point, its center.
Given,
Circumference of circle C = 53.38
Radius of circle r = 8.5
C = 2πr
π = C/2r
π = 53.38/2 × 8.5
π = 53.38/17
π = 3.14
Hence, value of π is 3.14 for calculating circumference of circle, which can be calculated with expression C/2r
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What is the volume of a container that is 5cm tall by 10cm long and 4cm deep
Answer:
200cm³
Step-by-step explanation:
lenght×width×height=Volume
10cm×4cm×5cm=200cm³
F(x)=6x+8 what is f(3)?
Answer:
26
Step-by-step explanation:
6(3) =18 18+8=26
take a look at this question and see if you can figure it out for me lol
Answer:
x=4 is the correct answer:)
Step-by-step explanation:
HELP PLEASEEE ILL GIVE YOU BRAINLILIST I DONT KNOW PART B :(
Answer:
It is the third one.
Step-by-step explanation:
Write an equation in point slope form for the line that passes through each point with the given slope. (you can press on the photo to see more clear)
Answer:
Question 1: Option C: y -6 = 8(x+4) is the correct answer.
Question 2: Option B: y-1=0 is the correct answer.
Step-by-step explanation:
Question 1(In Picture):
Given point is: (-4,6) and
Slope: m = 8
The point-slope form of equation of a line is given by:
[tex]y - y_1 = m(x-x_1)[/tex]
Here (x1,y1) are the coordinates of the point from which the line passes. Putting (-4,6) in the equation and slope
[tex]y -6 = 8(x+4)[/tex]
Hence,
Option C: y -6 = 8(x+4) is the correct answer.
Question 2:
Given point is: (3,1) and
Slope: m = 0
The point-slope form of equation of a line is given by:
[tex]y - y_1 = m(x-x_1)[/tex]
Here (x1,y1) are the coordinates of the point from which the line passes. Putting (-4,6) in the equation and slope
[tex]y -1 = 0(x-3)\\y-1 = 0[/tex]
Hence,
Option B: y-1=0 is the correct answer.
(Select one) DO,2 of Y is:
(3/2, 1)
(5, 4)
(6, 4)
Answer:
I believe the answer is (6,4)
Step-by-step explanation:
When dialating a shape you have to multiply both coordinates.
In this case we are given the knowledge that the new image will be a dilation of 2 (DO,2)
So we have to multiply the coordinates of y (3,2) by 2 which gives us the answer of (6,4)
Hope this makes sense
index notation 3 x 7 x 7 x 7 x 7
Answer:
7203
Step-by-step explanation:
sorry if I am wrong
Answer:
Step-by-step explanation:
3×7⁴
May it help
The blue dot is at what value on the number line?
10 +
2
Can anyone help?
Answer:
-10
Step-by-step explanation:
The value of every marking can be calculated as follows:
10 - 2 = 2 markings
8 = 2 markings
Every marking represents a change in value of 4.
Hence, 2 - (3*4) = ?
2 - 12 = ?
-10 = ?
Hope this helped!
plz help me and include the steps of how you got the answer.
Answer:
x = 17, y = 25.5
Step-by-step explanation:
Since ABC is congruent to DEF, we can say that angle A = D and B = E by CPCTC
So to find x we can do:
5x + 2 = 87
5x = 85
x=17
So x is 17
Since B = E and E is 42 degrees, then B must also be 42 degrees. So 87 , 42, and 2y must add up to 180 degrees because it is a triangle.
87 + 42 + 2y = 180 degrees
129 + 2y = 180
151 = 2y
y = 25.5
So x = 17 and y = 25.5
Arthur wrote the equation x=6+8y-9. How would you rewrite this equation in terms of y?
Answer:
wait i redid it and got
y= x+3/8
What is 5 + 20? This is just if u need/want points.
Answer:
25:)
Step-by-step explanation:
i need one more brainly little crown may i please have one
Solve for x
x + 3 = y
Select the correct response
1. X=y/3
2.x= y+3
3.x=y+-3
4.x=3y
Answer:
3. x = y - 3
Step-by-step explanation:
You want to move all numbers on the same side of x to the other side with y. Whenever doing this, we have to reverse the operation. In this problem, we have + 3 with x. So we will need to subtract 3 from both sides.
x + 3 = y
x = y - 3
Subtracting Fractions what is 1 2/3-2 1/3?
Answer:
-2/3
Step-by-step explanation:
1 2/3 becomes 5/3. 2 1/3 becomes 7/3 5/3-7/3= -2/3
evaluate the expression 8/d + 3 when d=4
Answer: 5,
Step-by-step explanation: I got it right, and I hope this helps you! ✨
Answer:
the evaluation of the equation is 5
Step-by-step explanation:
To add fractions, find the LCD and then combine.
The equation Y+3=5(x-2)
goes through with point?
(2,-3)
(3,-2)
(-2,3)
(-3,2)
Answer:
(2, -3)
Step-by-step explanation:
Well the equation is y - y1 = m ( x - x1)
-3 = y1
2 = x1
(2, -3)
Answer:
(2,-3)
Step-by-step explanation:
The given equation is in point-slope form. That is,
[tex]y-y1=m(x-x1)[/tex]
[tex]x1[/tex] and [tex]y1[/tex] is a point, while [tex]m[/tex] is the slope.
So, [tex]y1=-3[/tex] and [tex]x1=2[/tex].
The point that this equation passes through is (2,-3).
I hope this helps!
Which is the graph of g(x) = (0.5)x+ 3 – 4?
Answer:
x=2 y=-1...................
Answer:
A
Step-by-step explanation:
3. Melanie collects coins from all over the world. She is reorganizing her collection into coins from Europe and coins from other parts of the world. After sorting the coins, she comes to the conclusion that six out of every ten of the coins in her collection come from Europe.
A. Write a ratio for the number of European coins to the total number of coins, the number of non-European coins to the total number of coins, and the number of European coins to the number of non-European coins
Answer:
Step-by-step explanation:
AIiwi
What is
3 4/10
written in simplest form?
Answer:
The answer is 3 2/5 hope this helps :)
Step-by-step explanation:
on slope. find the coordinate
Answer:
36
Step-by-step explanation:
Using the slope formula:
slope = (y2-y1)/(x2-x1)
1/8 = (-10+6)/(4-w)
1/8 = -4/(4-w)
We can cross multiply to solve for w:
-32 = 4-w
w = 36
At the end of a basketball game, Michael’s coach tells him that he scored 25% of all of his team’s points. If Michael scored 16 points, exactly how many points did his team score?
Answer:
25% of all points is 16. So 16 is 1/4. Multiply 16 by 4 and then total points is 64
HELPPPPP!!!! PLZ!!! MATHHH!!!!
Answer:
The egg salad sandwich
Step-by-step explanation:
The cheese sandwich is 1/4 lb for 6 inches. For it to be proportional, the 12 inch would be twice that amount (2/4 or 1/2 lb). But, the actual 12 inch cheese sandwich is 3/4 lbs.
The chicken salad sandwich is 3/4 lbs for 6 inches. For it to be proportional, the 12 inch would be twice that amount (6/4 or 3/2 lbs). But, the actual 12 inch chicken salad sandwich is 7/4 lbs.
The egg salad sandwich is 2/3 lbs for 6 inches. For it to be proportional, the 12 inch would be twice that amount (4/3 lbs). The 12 inch sandwich is 4/3 lbs, so it is proportional.
The vegetable sandwich is 3/4 lbs for 6 inches. For it to be proportional, the 12 inch would be twice that amount (6/4 or 3/2 lbs). But, the actual 12 inch vegetable sandwich is 5/4 lbs.