The only expression of that can represent polynomial p as a function on a graph having four zeros at -4, -2/3, 0, and 9 is: A. [tex]\mathbf{-3x(x + 4)(3x + 2)(x - 9)}[/tex]
Given the four zeros of the graph of p are at:
-4, -2/3, 0, and 9From the options given, the expression in option A will represent a function of a polynomial p with zeros at -4, -2/3, 0, and 9.
Here's why:
[tex]-3x(x + 4)(3x + 2)(x - 9)[/tex] (option A)
Therefore are four factors in the polynomial above which are:
[tex]3x\\\\(x + 4)\\\\(2x - 3), $ and\\\\(x -9)[/tex]
The zeros of polynomial p will be the following:
[tex]3x = 0\\\\x = \frac{0}{3} \\\\\mathbf{x = 0}[/tex]
[tex](x + 4) = 0\\\\\mathbf{x = -4}[/tex]
[tex](3x + 2) = 0\\\\3x = -2\\\\\mathbf{x =-\frac{2}{3}}[/tex]
[tex](x -9) = 0\\\\\mathbf{x = 9}[/tex]
Therefore, the only expression of that can represent polynomial p as a function on a graph having four zeros at -4, -2/3, 0, and 9 is: A. [tex]\mathbf{-3x(x + 4)(3x + 2)(x - 9)}[/tex]
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https://brainly.com/question/3166764
A plane took off at a 15° angle to the ground and flew in Sydney’s direction. She is standing at a point 25 miles from the point where the plane took off. If the plane has traveled 20 miles in the air, about how far is Sydney from the airplane? Round your answer to the nearest whole number.
Answer:
8 mi
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
I just did it on edge and got it right.
A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid? A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid?
Answer:
52 ft
Step-by-step explanation:
Given that:
We have an pyramid with square base.
Area of base of the square pyramid = 169 [tex]ft^2[/tex]
To find:
Perimeter of the base of pyramid = ?
Solution:
First of all, let us have a look at the formula of area of a square shape.
[tex]Area = Side \times Side[/tex]
Let the side be equal to [tex]a[/tex] ft.
Putting the given values in the formula:
[tex]169 = a^2\\\Rightarrow a =\sqrt{169}\\\Rightarrow \bold{a = 13\ ft}[/tex]
Now, let us have a look at the formula for perimeter of square.
Perimeter of a square shape = 4 [tex]\times[/tex] Side
Perimeter = [tex]4\times 13 = \bold{52\ ft}[/tex]
I said SAS but am not sure because the base could be two equal sides as well so could someone help me out?
Answer: C) SAS is correct
Check out the diagram below.
We're given BA = BC as shown in red.
The congruent angles are shown in blue. The larger angle is bisected into smaller equal halves.
The red segments are congruent by the reflexive property.
The angles mentioned are between the sides mentioned, so that's why we can use SAS.
Lisa takes a night walk after dinner every night. She walks 1/4 mile in 2 minutes. How how does she walk in 10 minutes? (write-in decimal form)
Answer:
1.25 miles
Step-by-step explanation:
Lisa takes a night walk after dinner every night.
She walks 1/4 mile in 2 minutes.
Distance = 1/4 mile
Time, t = 2 minutes
For covering 1 mile,
1/4 mile = 2 minutes
In 1 minute she will cover [tex]\dfrac{1}{8}\ \text{mile}[/tex]
For 10 minutes, she will cover [tex]\dfrac{10}{8}\ \text{mile}\ or\ 1.25\ \text{miles}[/tex]
So, she will cover 1.25 miles.
HELPPP ME PLEASSSEE :(
I am pretty sure the answer is d.
Answer:definitely a trinomial expression.
Step-by-step explanation:
Since it has 3, it’s a trinomial.
Find the lengths of the sides of the triangle PQR. P(3, â3, â3), Q(9, 0, 3), R(12, â6, â3) |PQ| = |QR| = |RP| = Is it a right triangle?
a. Yes
b. No
c. Is it an isosceles triangle?
Answer:
a. Yes
Step-by-step explanation:
True or false : dilations always have the same scale factor as the original shape
Answer:
Step-by-step explanation:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The description of a dilation includes the scale factor (constant of dilation) and the center of the dilation. ... After a dilation, the pre-image and image have the same shape but not the same size.
Answer:
I would say False
Step-by-step explanation:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The description of a dilation includes the scale factor (constant of dilation) and the center of the dilation. After a dilation, the preimage and image have the same shape but not the same size.
Hope this helps.
Please Help me. And show your work
Answer:
30 girls, 20 boys
Step-by-step explanation:
in the tape diagram, we see a ration of 3:2 girls:boys
To solve, make it an equation`
3x+2x=50
5x=50
x=10
Then you multiply by 3 and 2 to get 30 and 20
Answer:
20:30
Step-by-step explanation:
50 divided into five is ten. There are exactly five boxes that make up ten kids for each box. There boxes are 30 kids in three boxes while two boxes are 20 kids and if you put all of that together it makes a total of 50 kids.
Based on simple interest, how much money would you have borrowed at 6% annual interest if your interest payment for one year was $120?
(Pls help me! I don’t understand!) it’s as image btw
whats the sum of the numbers in the 15th row of pascals triangle
Answer:
2,3,5,7,11,and 13
Step-by-step explanation:
Hope this helped :))
The sum of the numbers in the 15th row of pascals triangle are 2,3,5,7,11,and 13
What is Pascal triangle?Pascal triangles contains coefficient of 's expanded form's terms.
Thus, 1 is the value in the first row of Pascal triangle.
The variable x has coefficient 1, and that 1 itself, so second row of Pascal triangle has 1 , 1 as values.
For nth row, and its rth term(all counted from 0-indexing(that means, counting of index starts from 0), then that term in Pascal triangle is
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
........
The sum of row n is 2^n, thus the row number with a particular sum;
2^n = sum
n·log(2) = log(sum)
n = log(sum)/log(2)
The sum of the numbers in the 15th row of pascals triangle
2,3,5,7,11,and 13
Learn more about pascals triangle here;
https://brainly.com/question/24016005
#SPJ2
The altitude of Death Valley, California, is 282 feet below sea level. A hot air balloon is launched from the bottom of Death Valley and rises at a rate of 10 feet per second. After 12 seconds, the balloon captain lowers the balloon 15 feet. What is the altitude of the hot air balloon after being lowered?
Find the value of x that will make a and b parallel 5x+9 and 3x+11
Answer:
Step-by-step explanation:
5x + 9 = 3x + 11 ( Alternate angles )
5x - 3x = 11 - 9
2x = 2
x = 2/2
x = 1
Hope this helps
plz mark as brainliest!!!!!
please help me solve this
Answer:
A) 7 and 8
Step-by-step explanation:
root of 7 is 2.64575..... then when u multiply by 3
3*2.64575=7.93725
4.3.AP-10
Question Help
On a team, 7 girls and 5 boys scored a total of 91 points. The difference between the number of points scored by the 7 girls and the number of points scored by the
5 boys is 21. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each
boy
Answer:
u want step by step?
Step-by-step explanation:
easy question solve and get 10 points 3245=3×100__×2×__×__4×__+5
the same number goes in each of the blank space to make the number sentence correct what is the missing number
options
10
100
311
1000
Answer:
The missing numbers are (1000, 100, 10) 3 x 1000 + 2 x 100 + 4 x 10 + 5
Step-by-step explanation:
3 x 1000 = 3000
2 x 100 = 200
4 x 10 = 40
0 + 5 = 5
3000 + 200 + 40 + 5 = 3245
Which of the following relations between input numbers and output numbers is not a function?
Answer:
B
Step-by-step explanation:
for every house there is one and only one street address is it a function
Answer:
No
Step-by-step explanation:
No, it is not a function it would instead be a constant since the result will always be the same street address regardless of the input that is being given. With a function, a specific input is given to the function which is applied to the function itself, and output is provided based on the results generated from the input. Therefore, with a function, the input determines the output which is almost always different when different inputs get provided.
The Shredder, Inc. produces two types of paper shredders, home and office. The office model requires 6 hours to assembly and 2 finishing work units for finishing work, the home model requires 4 hours to assemble and 12 finishing work units for finishing. The maximum number of assembly hours available is 96 per day, and the maximum number of finishing hours available is 96 per day.
Let
x = the number of office model shredders produced per day and
y = the number of home model shredders produced per day.
Write the system of inequalities that represents the maximum number of shredders that can be produced in one day.
NOTE: 4 inequalities are expected.
Answer:
4y + 6x ≤ 96
12y + 2x ≤ 96
Step-by-step explanation:
Paper shredders produced :
Home :
Assembling time = 4 hours
Finishing work unit = 12
Office :
Assembling time = 6 hours
Finishing work unit = 2
Maximum number of assembly hours = 96 / day
Maximum number of finishing hours = 96/ day
Let
x = the number of office model shredders produced per day and
y = the number of home model shredders produced per day
(office Assembly hours x Number of office model) + (Assembly hours * number home models)
OFFICE MODEL:
Assembly operation :
Home + office ≤ 96
4y + 6x ≤ 96
Finishing operation :
Home + office ≤ 96
12y + 2x ≤ 96
In a group of 20 students, there are 7 boys. What is the ratio of girls to boys?
Answer: percent is 0.53%
The ratio is 7 to 13 so you just divide 7/13
Step-by-step explanation:
Evaluate the surface integral
S
F · dS
for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation.
F(x, y, z) = yj − zk,
S consists of the paraboloid
y = x2 + z2, 0 ≤ y ≤ 1,
and the disk
x2 + z2 ≤ 1, y = 1.
Since S is closed, you can use the divergence theorem, which says
[tex]\displaystyle\iint_S \vec F(x,y,z) \cdot \mathrm d\vec S=\iiint_R \mathrm{div}\vec F(x,y,z)\,\mathrm dV[/tex]
where R is the interior of the surface S.
We have
div F (x, y, z) = ∂/∂x (0) + ∂/∂y (y) + ∂/∂z (-z) = 1 - 1 = 0
so the flux would be 0.
In this exercise we have to calculate the flux by the divergent theorem:
The flux would be ZERO
Since S is closed, you can use the divergence theorem, which says:
[tex]\int\limits\int\limits_s {F(x,y,z} \, ds= \int\limits \int\limits\int\limits_R {divF(x, y, z)} \, dv[/tex]
where R is the interior of the surface S. We have:
[tex]\nabla F (x, y, z) = 1-1= 0[/tex]
so the flux would be ZERO.
See more about vectorial calculus at : brainly.com/question/6960786
the length of a rectangle is increased by 15% while its perpendicular height is decreased by 15%. determine, if any, the percentage change in its area.
No change in area if sides of rectangle are equal.
Hope this helps.
Solve for x in the diagram shown.
e
A)
2.67
B)
4.5
5.625
D)
34.375
E)
225
Answer:
C
Step-by-step explanation:
I just took the USATP.
Answer:
D) 34.375
Step-by-step explanation:
I literally just took usatestprep yall need to stop putting wrong answers pls
BLANK% of 50 shirts is 2 shirts.
Answer:
4%
Step-by-step explanation:
2/50 is 4....I believe.
Classwork
Example 1
Which of the following correctly models that the number of red gumballs is the number of white gumballs?
5
3
a.
Red
b.
Red
White
White
c.
Red
d.
Red
White
White
Answer:
b
Step-by-step explanation:
Each box represents 1/3. 5/3 of white is 2 boxes more so red needs 2 boxes more than white. 5 red and 3 white is the only one that follows the criteria.
(3x−2.4)/0.02 = (8−x)/0.1 Please Help
Answer
x = 5/4
Step-by-step explanation:
Plz i need an accurate answer help me plz. Choices -
-6 or 6
Answer:
6/2 or it can be 3 and that one will be with the one that says x=1 and 7 will be the answer for the one that says x=5 or it can be 14/2
Step-by-step explanation:
I hope this is what you mean
Mrs. Wheeler wants to cook a turkey for Thanksgiving dinner she knows that a 20 pound turkey Is enough to feed 16 people at this rate what size turkey will mrs. Wheeler need it 21 people are expected to come over for a dinner .
what is the absolute minimum and maximum of this graph
Answer:
The minimum is 0 because the lowest point the line reaches is 0. The maximum is infinity because the arrow keeps going up.
Answer:
There is no max since the arrow is continuous and the minimum is zero
Step-by-step explanation:
6 x41=?????????????????
Answer:
the answer is 246
hope this helps