IF the equation y = 2x + 1 were graphed on the given xy plane, where would the two lines intersect?
Which polynomial when factored gives the zeros for the polynomial shown in the graph? -) A) x3 + 8x2 + 21x + 18 B) x3 - 2x2 - 9x + 18 x3 - 4x2 – 3x + 18 D) x3 - 8x2 + 21x - 18
The function of the polynomial graph when factored is (d) [tex]f(x) = x^3 - 8x^2+ 21x - 18[/tex]
From the question (see attachment), we have the following highlights:
The graph crosses the x-axis at x = 2.The graph touches the x-axis at x = 3This means that:
The graph has a multiplicity of 1 at x = 2The graph has a multiplicity of 2 at x = 3So, the function of the graph is:
[tex]f(x) = (x - 2)(x - 3)^2[/tex]
Expand the exponent
[tex]f(x) = (x - 2)(x^2 - 6x + 9)[/tex]
Expand
[tex]f(x) = x^3 - 6x^2 + 9x - 2x^2 + 12x - 18[/tex]
Collect like terms
[tex]f(x) = x^3 - 6x^2 - 2x^2+ 9x + 12x - 18[/tex]
[tex]f(x) = x^3 - 8x^2+ 21x - 18[/tex]
Hence, the function of the graph is (d)
Read more about polynomial functions at:
https://brainly.com/question/2833285
621,584 round to the nearest ten
Answer:
621,580
and i have to add at least 20 characters so how is everyone’s day?
Answer:
621,580
Step-by-step explanation:
nearest 10 means finding which 10 they are nearest to. and 84 is rounded to 80 because the number is not 85 or higher if that makes sense.
A soup can has a radius of 4 cm and a height
of 11 cm. There are 24 cans in one case. How
many litres of soup are in one case?
Answer: 9047.76
Step-by-step explanation: The area of each can is 376.99 litres and 376.99x24 is 9047.76. The formula for area of a cylinder is A=2πrh+2πr2.
The sum of two integers is 10, and the sum of their squares is a minimum. Find the integers.
Miguel does 150 lunges and 120 pushups each week. Which statement is true about the ratio of lunges to pushups?
For every 5 lunges Miguel does, he does 4 pushups.
For every 4 lunges Miguel does, he does 5 pushups.
For every 15 lunges Miguel does, he does 4 pushups.
For every 12 lunges Miguel does, he does 5 pushups.
Answer:
For every 5 lunges, 4 pushups
Step-by-step explanation:
The width of a triangle of 7 feet longer than its length. Find the dimensions of the rectangle such that the perimeter of the rectangle is 162 feet
Answer:
Length = 37 feets
Width = 44 feets
Step-by-step explanation:
Given that :
Length = l
Width, w = 7 + l
Perimeter , P of rectangle = 162
Recall:
Perimeter of a rectangle = 2(l + w)
P = 2(l + w)
162 = 2(l + (7 + l))
162 = 2(l + 7 + l)
162 = 2(7 + 2l)
162 = 14 + 4l
162 - 14 = 4l
148 = 4l
l = 148 / 4
l = 37 feets
Width = l + 7
Hence,
Width = 37 + 7 = 44 feets
Can someone plz help me it’s due at 11:30 plz help!!!
which of the following cannot be the graph of a function of X?
Why not? Because it fails the vertical line test. Here it is possible to draw a single straight vertical line through more than one point on the curve. That's why choice D is not a function. Choices A,B,C are functions because it's impossible to draw a single vertical line through more than two points on the curve, and therefore we can say they pass the vertical line test.
Side note: choices B and C fail the horizontal line test, so these functions are not one-to-one.
The length of a line segment is 13 units. One endpoint of the line segment is -3, 7. What four points could be the other endpoints of the line segment.
Answer:
the length of a line s3gment is 13 units then its 169
Find the volume of a pyramid with a square base, where the perimeter of the base is 7.3\text{ ft}7.3 ft and the height of the pyramid is 6\text{ ft}6 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
[tex]V=6.66\ ft^3[/tex]
Step-by-step explanation:
The perimeter of the square base of a pyramid = 7.3 ft
The height of the pyramid, h = 6ft
The perimeter of a square is given by :
P = 4s, s is the side of square
7.3 = 4s
s = 1.825 ft
The volume of a pyramid is given by :
[tex]V=\dfrac{lbh}{3}[/tex]
Here, l = b = 1.825 ft
So,
[tex]V=\dfrac{1.825\times 1.825\times 6}{3}\\\\V=6.66\ ft^3[/tex]
So, the volume of the pyramid is equal to [tex]6.66\ ft^3[/tex].
Part A Complete the stem and leaf plot for this data on the average cruising speeds of Red Eagle's planes.
0.78, 0.86, 0.83, 0.83, 0.79, 0.83, 0.85, 0.85, 0.85, 0.81, 0.84, 0.84, 0.82, 0.82, 0.81, 0.83, 0.84, 0.83, 0.85, 0.85, 0.81, 0.80, 0.82, 0.82, 0.80, 0.82, 0.87, 0.84, 0.84, 0.86
ASAP PLEASE!!!! DUE IN 5 MINUTES!!!!
50 POINTS!!!!
Answer:
hope this helps you. look it once
It took Mary 37 minutes to make 8 posters wrote the statement as a rate
Answer:
1 for 4.625 mins
Step-by-step explanation:
What is the x-intercept of the line shown below? Enter your answer as a
coordinate pair.
Answer:
do you have a graph of the line?
The coordinates of the point L are (-3,7) and the coordinates of point M are
(-3,2). What is the distance, in units, between the point L and point M?
Answer:
5.
Step-by-step explanation:
x axis is the same. do 7-2. Which equls 5.
7.(08.03)
Consider the following pair of equations:
y = x + 4
y = - 2x - 2
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form. (20 points!)
Answer:
(-2, 2).
Step-by-step explanation:
y = x + 4
y = - 2x - 2
Substitute y = x + 4 in the second equation:
x + 4 = -2x - 2
x + 2x = -2 - 4
3x = -6
x = -2.
Now substitute x = -2 in the first equation:
y = -2 + 4 = 2.
Check the results by substituting for x and y in equation 2:
2 = -2*-2 - 2 = 4 - 2 = 2. - this checks out.
Answer:
(-2, 2).
Step-by-step explanation:
d
Which answer is correct?
Answer:
B
Step-by-step explanation:
Philip rode less than her so immediately you subtract which cancels answers a and d.
we aren't dividing the answers, he rode 3 TIMES faster, meaning multiply. which is why it's 5
(4x + 11)° (5.6 - 10)
solve , √(6*6) + √(7*7) please ASAP
Answer:
[tex] \sqrt{(6 \times 6 } + \sqrt{7 \times 7} \\ = \sqrt{ {6}^{2} } + \sqrt{ {7}^{2} } \\ = { ({6}^{2} )}^{ \frac{1}{2} } + { {(7}^{2} )}^{ \frac{1}{2} } \\ = 6 + 7 \\ = 13[/tex]
Answer:
The answer is 13 I hope that helped you buddy <3
PLS HELP ILL MARK AS BRAINLIST AND FOLLOW U ITS 6TH GRADE GEOMETREY
Answer:
220 m²
Step-by-step explanation:
2(4 x 10) + 2(5 x 4) + 2(5 x 10) = 220
There are 8 sweets in a box. There are n jelly beans and the rest are cola bottles. Colin takes 2 sweets out of the box at random. Write an expression for the probability of getting 2 cola bottles. Give your expression as a single fraction and simplify fully.
Answer:
Probability expression = 1 - n/7 - n/8 + n^2 / 56
Probability single fraction based on example = 3/28
Step-by-step explanation:
Total sweets = 8. n jelly beans , 8 - n cola bottles
Prob (getting 1st cola bottle) = Cola bottles / Total sweets = (8-n) /8
Prob (getting 2nd cola bottle) = remaining cola bottles / remaining total sweets = (8 - n - 1) / (8-1) = (7-n) / (7)
Prob (getting both 1st & 2nd cola bottle) = [ (8-n) /8 ] x [ (7-n) / 7 ]
(1 - n/8) x (1-n/7) = 1 - n/7 - n/8 + n^2 / 56
Eg : 5 jelly beans , 3 cola bottles
Similarly, Prob (2 cola bottles) = 3/8 x 2/7 = 6 / 56 = 3/28
How many solutions does this equation have?
-5x-2=-5x-5
Answer:
4
Step-by-step explanation:
Answer: It has no solutions.
(Hope this helps!)
Find X (2/3 x) (x + 40)
The Answer Is X=84
Make an equation for x.
x+40+2/3x=180
x+2/3x=140
Combine like terms.
1 2/3x=140
140/1 2/3 =84
x=84
The perimeter of the figure below is 61.1 m. Find the length of the missing side.
Answer:
I believe it would be 12.9
Step-by-step explanation:
perimeter is all of the outside lengths combined. if you take the 61.1 and subtract the lengths it gives you, the remaining length should be your answer
A store manager receives a delivery of 2 boxes of lightbulbs. Each box contains 25 lightbulbs. The store manager tests all the lightbulbs and finds that 2 of them are defective. Based on these results, what can the store manager predict about the next delivery of lightbulbs?
Group of answer choices
A. A delivery of 6 boxes will contain 3 more defective lightbulbs than a delivery of 2 boxes
B. A delivery of 5 boxes will contain 10 more defective lightbulbs than a delivery of 2 boxes
C. A delivery of 4 boxes will contain 2 more defective lightbulbs than a delivery of 2 boxes
D. A delivery of 3 boxes will contain 3 more defective lightbulbs than a delivery of 2 boxes
Answer:
Answer is C
Step-by-step explanation:
There is one faulty light bulb in each box. 4 boxes 4 bad lightbulbs since there we two in the first to 2+2 is 4
Write 4 equations:
-2 equations using sine based on triangle ABC
-2 equations using cosine based on triangle ABC
its B. if there's choices
i need help with this plzzzzzzzzzzzzzzzzzzz
Answer:
Parallel lines have to have the same slope, and the only one that has a slope of 1/4 is y = 1/4x - 1/2
Hellppppppppppppp I neeeeed itttt
Answer:
20
Step-by-step explanation:
pls pls pls pls help me pls I will give brainlist
Please define (provide the meaning) the following forms of rocks:
1. Igneous Rocks
2. Sedimentary Rocks
3. Metamorphic Rocks
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 35pts-
(if you put links or don't answer accordingly im reporting your account)
Answer:
A,B and C i think
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