According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function? (9x + 7)(4x + 1)(3x + 4) = 0 1 root 3 roots 4 roots 9 roots
Answer:
Step-by-step explanation:
3 roots
namely -7/9,-1/4.-4/3
help me please thanks
Answer:
C The mean or median
Step-by-step explanation:
Which is equal to 6-45?
Answer:
-39
Step-by-step explanation:
Please give me brainliest.
Answer:
-39
Step-by-step explanation:
6-45
A buyer owes a seller $45 and has gone to pay $6. The remaining dollars which the buyer must give the seller is $39.
PLSSS HELPP ASAP
Each of the following data sets has a mean of 5. Which has the greatest variability? (no calculations are necessary)
Α.{1, 3, 5, 7, 9}
В. {1, 1, 1, 1, 21}
с. {3, 4, 5, 6, 7}
D. {5, 5, 5, 5, 5)
Answer:
choose B is the greatest variablity
Que sucede al estudiar el comportamiento del coseno (en triangulos no rectangulos) de la misma forma que estudamos el seno?
Answer:
En contraste con el seno, el coseno permite diferenciar triángulos obtusángulos de triángulos acutángulos.
Step-by-step explanation:
Por Geometría Euclideana sabemos que la suma de todos los ángulos internos de un triángulo es igual a 180°, si el triángulo no es rectángulo, entonces acutángulo o obtusángulo.
Un triángulo es acutángulo cuando todos sus ángulos son agudos, es decir, cuyas medidas sean mayores que 0° y menores que 90°, mientras que un triángulo es obtusángulo cuando uno de sus ángulos es mayor que 90° y menor que 180° y los dos ángulos restantes son agudos.
El seno es una función periódica y acotada entre -1 y 1, que es positiva entre 0° y 180°, significando que esta función trigonométrica es demasiado "débil" para diferenciar a un triángulo obtusángulo de uno acutángulo. En cambio, el coseno es una función periódica y acotada entre -1 y 1, que es positiva entre 0° y 90°, y negativa entre 90° y 180°, convirtiéndola en un criterio "fuerte" para diferenciar triángulos obtusángulos de triángulos acutángulos.
Martha estimated the quotient of −71.81 and −8.02 using rounding to the nearest whole number. 9 StartLongDivisionSymbol 72 EndLongDivisionSymbol minus 72 = a remainder of 0 and quotient of 8. What was Martha's error? She should have rounded the dividend to 70. She should have rounded –8.02 to –8. She should have divided 8 by 72. She did not make an error.
Answer:
(b) She should have rounded –8.02 to –8
Step-by-step explanation:
Given
See attachment for long division
Required
Her error
Ignoring the minus sign,
Her approximation is as follows:
[tex]-71.81 \approx 72[/tex]
[tex]-8.02 \approx 9[/tex]
Her approximation of -8.02 is wrong
Because:
[tex]-8.02 \approx 8[/tex]
Hence (b) is correct
B (she should have rounded –8.02 to –8)
Step-by-step explanation:
Just got it right on e d g e u n i t y 2021!
HURRY PLEASE!!!!
Describe the transformation that was performed on parallelogram EFGH to create parallelogram E'F'G'H'. Show or explain how you got your answer.
Answer: 4'6 2'4
Step-by-step explanation:
4 16. Deborah's garden has a length of 8 - feet and a width of 5 feet. What is the area of her garden? 4
Answer:
20
Step-by-step explanation:
L times W
length times width
so 5 x 4 = 20
what is the value of X in the isosceles trapezoid below?
Answer:
11
Step-by-step explanation:
Work out the value of the expression 2n + 1 when n= -5.
11
Step-by-step explanation:
2 times 5 +1=11
Answer:
2n+1=-5
2n=-5-1
2n=-6
n=-6÷2
n=-3
Select the correct answer.
A school bus has 25 seats, with 5 rows of 5 seats. 15 students from the first grade and 5 students from the second grade travel in the bus. How
many ways can the students be seated if all of the second-grade students occupy the first row?
OA 25P20
OB. SPs * 20P15
OC5C525C14
OD. SPs *15P15
OE PSX25C5
Answer:
B. [tex]^{5} P_{5}[/tex] × [tex]^{20} P_{15}[/tex]
Step-by-step explanation:
No. of students from first grade = 15
No. of students from second grade = 5
There are 5 rows of seats
Each row contains 5 seats
Total seats = 25
No. of ways for second-grade students to occupy the first row (i.e first 5 seats) = [tex]^{5} P_{5}[/tex]
Remaining seats = 20
So, now we are left with 15 first grade students
So, No. of ways for first-grade students occupy remaining seats = [tex]^{20} P_{15}[/tex]
Using the counting rule principle,
No. of ways for the students can be seated if all of the second-grade students occupy the first row = [tex]^{5} P_{5}[/tex] × [tex]^{20} P_{15}[/tex]
So, Option B is the correct answer
Hence, no. of ways for the students can be seated if all of the second-grade students occupy the first row is ×
There are ¹⁵P₁₅ x ¹⁰P₅ possible way to seat, if all of the second-grade students occupy the first row.
What is permutation?A permutation in math is the number of ways in which a set of data or objects can be ordered or arranged, where the order matters.
Given that, a school bus has 25 seats, with 5 rows of 5 seats. 15 students from the first grade and 5 students from the second-grade travel in the bus.
Since you have to place all first-grade students in the first three rows,
Therefore,
For the 15 first-graders of the first three rows (15 seats), we have ¹⁵P₁₅ since all 15 places have to be occupied by all 15 first-graders.
Then we have 10 remaining seats left to be assigned to the 5 second-graders = ¹⁰P₅
We then multiply the permutation numbers of those two arrangements to get the total ways:
¹⁵P₁₅ x ¹⁰P₅
Hence there are ¹⁵P₁₅ x ¹⁰P₅ possible way to seat, if all of the second-grade students occupy the first row.
Learn more about permutation click;
https://brainly.com/question/30649574
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What is first quartile, third quartile, and interquartile range of 21 32 17 24 15 30 28 and 26. I found this quite confusing to understand
Given:
The data values are:
21, 32, 17, 24, 15, 30, 28 and 26.
To find:
The first quartile, third quartile, and interquartile range.
Solution:
We have,
21, 32, 17, 24, 15, 30, 28, 26
Arrange the data values in ascending order.
15, 17, 21, 24, 26, 28, 30, 32
Divide the data set in two equal parts.
(15, 17, 21, 24), (26, 28, 30, 32)
Divide each parenthesis in two equal parts.
(15, 17), (21, 24), (26, 28), (30, 32)
Now, the first quartile is:
[tex]Q_1=\dfrac{17+21}{2}[/tex]
[tex]Q_1=\dfrac{38}{2}[/tex]
[tex]Q_1=19[/tex]
The third quartile is:
[tex]Q_3=\dfrac{28+30}{2}[/tex]
[tex]Q_3=\dfrac{58}{2}[/tex]
[tex]Q_3=29[/tex]
The interquartile range is:
[tex]IQR=Q_3-Q_1[/tex]
[tex]IQR=29-19[/tex]
[tex]IQR=10[/tex]
Therefore, the first quartile is 19, third quartile is 29 and the interquartile range is 10.
US
Find the median of the data.
The number of boys per classroom.
9, 2, 8, 6, 12, 2
Median: [?] boys
Enter the number that belongs in the green box.
Enter
Answer:
7 boys
Step-by-step explanation:
We must find the median of the data given. A median is the "middle number" of a set of numbers ordered in increasing value.
Step 1, ordering the numbers:
We will start by ordering the numbers from smallest to largest. We have:
2, 2, 6, 8, 9, 12
Step 2, finding the "middle number":
Well...notice how there is an even amount of numbers in the data set. We can't exactly find one "middle number". We can however, narrow the list down to two "middle numbers."
We have 6 and 8.
Step 3, taking the average:
To find the median, we will take the average of the two "middle numbers."
[tex]\frac{6+8}{2} =\\\frac{14}{2}=\\\fbox{7}[/tex]
The median is 7 boys.
I hope this helps! Let me know if you have any questions :)
can u helpppp me????
Answer:
XY=6
Step-by-step explanation:
13-7=6
Answer:
XY = 6
Step-by-step explanation:
We know that the whole line (XZ) is equal to 13, and we know that YZ + XY is equal to XZ.
XZ = XY + YZ
13 = XY + 7
6 = XY
Hope this helped :)
Why do some functions not have x intercepts?
what is the area of the figure below
Answer:
58cm2
Step-by-step explanation:
put it in section and them slove
so area of triangle = b×h÷2= 6×3/2=9cm2
area of terpizium = 5(4+6)/2=25cm2
area of triangle = 8×6÷2=20cm2
add all these together You get 58cm2
hope this helps :)
A line that includes the point (2, 9) has a slope of 8. What is its equation in slope-intercept
form?
Answer:
y-8x+7=0
Step-by-step explanation:
slope(m)=8
using slope intercept form of equation of staright line we get
y=mx+b
y=8*x+b
y-8x=b ................ eq(i)
since the line include the point (2,9) it satisfies the euation,
here x=2 and y=9
equation: y-8x=b
9-8*2=b
9-16=-b
-7=b
substituting the value of b in eq(i) we get
y-8x=-7
y-8x+7=0 is a required equation of the line.
One of the solutions to the equation x² - 5x-24 = 0 is 8. What is the other solution?
Answer:
-3
Step-by-step explanation:
This is a quadratic equation. Therefore, one way we can solve this is by using the quadratic formula, [tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] and [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex].
a, b, and c represent the coefficients in our equation [tex]x^2-5x-24=0[/tex]. a represents the coefficient of the term with degree of 2, which is 1. b represents the coefficient of the term with degree of 1, which is -5. c represents the coefficient of the term with degree of 0, which is -24.
Let us plug them in the equation! Let us start with this one: [tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex]
[tex]\frac{5+\sqrt{(-5)^2-4*1*(-24)} }{2} =\\\frac{5+\sqrt{25+96} }{2} =\\\frac{5+\sqrt{121} }{2} =\\\frac{5+11}{2} =\\\frac{16}{2} =\\8[/tex]
Oops! We are looking for the other solution. Let us plug in the values in this equation instead: [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]
[tex]\frac{5-\sqrt{(-5)^2-4*1*(-24)} }{2} =\\\frac{5-\sqrt{25+96} }{2} =\\\frac{5-\sqrt{121} }{2} =\\\frac{5-11}{2} =\\\frac{-6}{2} =\\-3[/tex]
I hope this helps! Let me know if you have any questions :)
the straight line y=5x-1 does not intersect the curve y=2x²+x+p.Find the range of values p.
Step-by-step explanation:
yes friend and your answe is wring
Part A: Drag the factors of 45 and 75 into the correct boxes.
Part B: What is the greatest common factor of 45 and 75? Enter your answer in the box.
Answer:
3 x 5 is the gcf of 45 and 75. gcf(45,75) = 15.
Step-by-step explanation:
hope this helped! yw :}
On a coordinate plane, a line goes through points (0, 1) and (3, 0). Y = one-half x minus 1.
Identify the slope of the graphed line:
Identify the y-intercept of the graphed line:
Identify the slope of the line given by the equation:
Identify the y-intercept of the line given by the equation:
Answer:
Step-by-step explanation:
1. -1/2
2. -1
3. -1/2
4. -1
Answer:
Identify the slope of the graphed line: -1/3
Identify the y-intercept of the graphed line: 1
Identify the slope of the line given by the equation: 1/2
Identify the y-intercept of the line given by the equation: -1
Step-by-step explanation:
the other person is wrong i got a 100 on my assignment its correct on edge 2021 hope this helps!!
Hệ phương trình
1/x + 1/y = 5/24
4/x + 3/y = 3/4
Step-by-step explanation:
hear is your with steps please check
Find mean, median, mode, range
Answer:
Mean= 44.2
Median=45
Mode=6
Range=50
Step-by-step explanation:
Mean= (10x1 +30x2 + 40x3 +50x2 +60x4)/12
= 530/12
=44.17
=44.2
Median= 40+50 /2
=45
Mode= 6
Range= 60-10
=50
Solve for w.
69=5w – 16
Simplify your answer as much as possible.
-2 1/4 divided by (3 1/3) =
MARKING BRAINLIEST
HELP PLS
The Answer is:
C.) (x+2)(x+3)
Answer:
(x-2)(x+3)
Step-by-step explanation:
1. Start by setting up the synthetic division. The numbers 1, -4, -11, and 30 go on the inside on the division. To get the number on the outside, set x-5 equal to 0. solve and get 5.
2. bring the one down. multiply the one and the five and place the number you get underneath the -4 in the next column. From there, add the two numbers in the column.
3. After adding those two numbers, put the number you get (which should be 1) directly below the 5. Now multiply that number and the 5 again.
4. Repeat these steps until you fill the spaces under the next two columns. If you do it correctly, the number at the bottom of the very last column should be 0. This zero is known as the remainder. The remainder is not needed to complete this problem.
Now that you have finished synthetic division, it is time to set up the new equation you got.
5. The 1 on the bottom left will be your [tex]x^{2}[/tex] value, the next 1 will be your x value, and the -6 will be your c. You should get the equation [tex]x^{2} + x -6[/tex]
6. From here, factor the polynomial. The factors must add up to the middle value (1) and multiple to c (-6). The factors -2 and 3 add up to 1 and multiply to -6
Therefore, your answer will be (x-2)(x+3)
A scalene triangle has the lengths 6, 11, and 12. Keyla uses the law of cosines to find the measure of the largest angle. Complete her work and find the measure of angle Y to the nearest degree.
Answer:
The maximum angle is 84.3 degree.
Step-by-step explanation:
Sides of a triangle is
a = 6 , b = 11, c = 12
The maximum angle is opposite to c.
So,
[tex]a =6, b =11, c = 12 \\\\cos C =\frac{a^2+b^2-c^2}{2 ab}\\\\cos C =\frac{36+121-144}{2\times 6\times 11}\\\\cos C = \frac{13}{132}\\\\cos C = 0.0985\\\\C =84.3^o[/tex]
Answer:
The person above got it wrong its 84
Step-by-step explanation:
got it wrong on edge
PLEASE PLEASE PLEASE HELP ME WITH THIS ASAP
You can transform ⨀V to ⨀V' by translating it and then performing a dilation centered at V'. Find the translation rule and the scale factor of the dilation.
You can transform ⨀V to ⨀V' by translating it and then performing a dilation centered at V'. Find the translation rule and the scale factor of the dilation.
Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.
Translation: (x,y)↦ ( _____, _____)
Scale factor: ______
Answer:
scale factor: 2
translation: (x+2, y+7)
Step-by-step explanation:
PLEASE SOMEONE HELP ME PLEASE PLEASE PLEASE
ANSWER EXPLANATION = BRAINLIEST
You can transform ⨀P to ⨀P' by translating it and then performing a dilation centered at P'. Find the translation rule and the scale factor of the dilation.
You can transform ⨀P to ⨀P' by translating it and then performing a dilation centered at P'. Find the translation rule and the scale factor of the dilation.
Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.
Translation: (x,y)↦( ____, ____)
Scale factor: ?
Step-by-step explanation:
Translation: (x,y)↦( 9, -12)
Scale factor: 2
Translation:
(x,y)↦( 9, -12 )
Scale factor:
2 is the required answer.
Which expressions can be used to find the volume of the prism?
Answer:
I'm not seeing the options clearly so I'll answer the entire question then perhaps you can get your answer from that
Step-by-step explanation:
Formula for finding volume of rectangular prism =
Area or rectangle x Height
(L x B) x H
[tex] = (8 \times 3) \times 5 \\ = (24) \times 5 \\ = 120 {cm}^{3} [/tex]
I hope it helped?
