Answer:
(x -5)(x² + 6)
Step-by-step explanation:
f(x) = x³ - 5x² + 6x - 30
Synthetic division:
5 1 -5 6 -30
0 5 0 30
1 0 6 0
(x - 5) is a factor
f(x) = x³ - 5x² + 6x - 30 = (x -5)(x² + 6)
Pls someone help it’s my last question
Answer:
A
Step-by-step explanation:
42-34=8
3/4
6/8-1/8=5/8
8+5/8= 8 5/8
Answer:
A) 8 [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
The 2013-14 roster of the Seattle Seahawks, winners of the 2014 NFL Super Bowl, included 10 defensive linemen and 9 offensive linemen. (Data set may be found here.) The weights in pounds of the defensive linemen were 254 311 297 323 260 242 300 252 303 274 and the weights of the offensive linemen were 310 315 305 318 298 301 321 332 320 (a) Make a back to back stemplot of the weights of the offensive and defensive linemen. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Find the five-number summary for the offensive line. (Enter your answers to one decimal place.) Minimum lb Q1 lb Median lb Q3 lb Maximum lb (b) Find the five-number summary for the defensive line. (Enter your answer to one decimal place.) Minimum lb Q1 lb Median lb Q3 lb Maximum lb (c) Which group of players tends to be heavier? Offensive Defensive
Answer:
Step-by-step explanation:
The weights in pounds of the defensive linemen were :
254,311, 297, 323, 260, 242, 300, 252, 303, 274
Ascending order: 242 ,252 ,254 ,260 ,274 ,297 ,300 ,303 ,311 ,323
The weights in pounds of the offensive linemen were :
310 ,315, 305, 318, 298, 301, 321, 332, 320
Ascending order:298 ,301 ,305 ,310 ,315 ,318 ,320 ,321 ,332
a)
Offensive line Stem Defensive line
24 | 2
25 | 2 , 4
26 | 0
27 | 4
8 | 29 | 7
1,5 | 30 | 0,3
0,5,8 | 31 | 1
0,1 | 32 | 3
2 | 33 |
Five number summary of offensive line:
1) minimum: 298
2) maximum: 332
3)
Lower quartile:298 ,301 ,305 ,310
Q1 is the median of lower quartile
[tex]Q1=\frac{301+305}{2}=303[/tex]
4)
Upper quartile:318 ,320 ,321 ,332
Q3 is the median of upper quartile
[tex]Q3=\frac{320+321}{2}=320.5[/tex]
5)
Q2 is the median
298 ,301 ,305 ,310 ,315 ,318 ,320 ,321 ,332
Mid value =[tex]\frac{9+1}{2}[/tex]=5th term = 315
Q2=315
Five number summary of defensive line:
1) minimum: 242
2) maximum: 323
3)
Lower quartile:242 ,252 ,254 ,260 ,274
Q1 is the median of lower quartile
Q1=254
4)
Upper quartile:297 ,300 ,303 ,311 ,323
Q3 is the median of upper quartile
Q3=303
5)
Q2 is the median
242 ,252 ,254 ,260 ,274 ,297 ,300 ,303 ,311 ,323
Mid value =\frac{274+297}{2}=285.5
Q2=285.5
c) Mean weight of offensive line = [tex]\frac{298+301+305+310+315+318+320+321+332}{9}=313.33[/tex]
Mean weight of defensive line = [tex]\frac{242+252+254+260+274+297+300+303+311+323}{10}=281.6[/tex]
Mean weight of offensive line is more
So, Offensive group of players tends to be heavier
Which expressions are equivalent to 7^-2•7^6
Choose two answers
A.7^2/7^-2
B.7^6/7^-2
C.7^-12
D.(7^2)^2
===========================================
Explanation:
The expression 7^(-2)*7^6 simplifies to 7^4
We use the rule a^b*a^c = a^(b+c). In this case a = 7, b = -2, c = 6
In short, we add the exponents.
----------
In choice A, we use the rule (a^b)/(a^c) = a^(b-c) where we're now subtracting the exponents.
Here we have the exponents subtract to b-c = 2-(-2) = 2+2 = 4. This shows that (7^2)/(7^(-2)) = 7^4
This is why choice A is one equivalent expression.
----------
Choice D is the other equivalent expression since
(7^2)^2 = 7^(2*2) = 7^4
The rule used here is (a^b)^c = a^(b*c). We're multiplying exponents now.
-----------
Alternatively you can find that 7^(-2)*7^6 = 2401 through use of a calculator.
Then go through each answer choice to see which also produce a result of 2401.
The class can contain at most 28 students.
The length of a rectangle is 6 inches longer than the width. The perimeter of the rectangle is eight times the width. What is the width of the rectangle?
Answer:
The width is 3 inches.
Step-by-step explanation:
First, let's identify our variables.
L=Length
W=Width
P=Perimeter
P=2W+2L
We know that L=W+6
We can substitute L for W+6, and we can substitute P for 8W, which gives us the equation:
8W=2W+2(w+6)
If you go through all the steps to isolate the variable W, you'll end up with W=3
What are the measures of angles 1 and 2? R m21 = m22 = 539 U 1 2. 2 S 470 T
Answer: m/_ = 50
m/_= 130
Step-by-step explanation:
is the expression 5x-3(2x-4)is equiva
lent to the expression 12-x
Answer:
the answer is im in college and wait nope im in middle school cant help sorry
Step-by-step explanation:
you need help ask a teacher thank youAnswer:
Yes. They are equal.
Step-by-step explanation:
Let's simplify 5x-3(2x-4)
5x-3(2x-4)
5x-6x-12 (distribute)
-x+12
-x+12 and 12-x is the same thing just reversed.
so they are equal.
hope this helps
brainliest?
The graph represents a functional relationship.
On a coordinate plane, a straight line with a negative slope begins at point (1, 3), crosses the x-axis at (4, 0), and exits the plane at (18, negative 14).
Which value is an input of the function?
–14
–2
0
4
Answer:
its b) -2
Step-by-step explanation:
i just did it
write an algebraic expression for each verbal expression
if someone answers these i will give brainlest um anyways i will drop the question right below here. THANK YOU
y= -x - 4
slope of this and y- intercept
y= 3x
slope of this and y- intercept
THANK YOU AGAIN
Answer:
Step-by-step explanation:
The slope is -1!
Btw the y intercept is (0,-4)
Number 17 please. Need to know how to take the info and make it into a slope intercept equation.
Answer:
y = 5x -15
Step-by-step explanation:
slope/y-int from = y =mx+b
slope = y2-y1/x2-x2
slope = 0--15 / 3-0
slope = 15 / 3
slope = 5
y-int = -15
y = 5x-15
Which statements describe a parabola? Check all that apply. A parabola is the set of all points equidistant from the directrix and focus. The fixed line is called the vertex of a parabola. The focus is a fixed point inside the parabola. The line of symmetry intersects the focus and directrix. The line of symmetry and the directrix are perpendicular. The parabola intersects the directrix.
Answer:
A parabola is the set of all points equidistant from the directrix and focus.
The line of symmetry intersects the focus and directrix
The line of symmetry and the directrix are perpendicular
Step-by-step explanation:
A parabola is the set of all points in a plane that are equidistant from a fixed point (focus) and a line (directrix).
The fixed line of a parabola is known as the directrix of the parabola.
The line of symmetry is a line that passes through the focus and is perpendicular to the directrix. The line of symmetry divides the parabola.
The directrix of a parabola does not intersect touch the parabola
Answer:
1,3,4,5 are correct
Step-by-step explanation:
The table shows how much Tracy earns babysitting Saturday nights, depending on how many hours she works
Answer:
57
Step-by-step explanation:
6 X 9.50
help me piz ...........................
If we start with 5 cells, and each cell divides in two every 15 minutes, how many total after 1 hour?
Answer:
80 CellsStep-by-step explanation:
5 x 2 = 10 = Fifteen Minutes (15)
10 x 2 = 20 = Thirty Minutes (30)
20 x 2 = 40 = Forty - Five Minutes (45)
40 x 2 = 80 = Sixty Minutes (60)
80 Cells
5y + 4x = 8
y + 5x = 10
What’s the answer need it nowww
Follow My Instagram! itzactuallytif
The product of two negative rational numbers is
zero.
Answer:
False
Step-by-step explanation:
This statement is false. If you multiply two negative rational numbers together, say -8 and -7, you get 56. In fact, you cannot multiply any two negative rational numbers and get zero.
You make an initial deposit of $2,500 in an account that offers 6% simple interest per year. How much will be in the account after 4 years?
Enter the correct answer in the box.
Answer:
3100
Step-by-step explanation:
3100
The amount of money in the account that he has after 4 years will be $3100.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
A = P + (PRT)/100
Where P is the principal, R is the rate of interest, and T is the time.
You make a $2,500 initial deposit into an account that pays 6% simple interest per year.
Then the amount of money in the account that he has after 4 years will be given as,
A = 2500 + (2500 x 6 x 4)/100
A = 2500 + 600
A = $3100
The amount of money in the account that he has after 4 years will be $3100.
More about the simple interest link is given below.
https://brainly.com/question/2793278
#SPJ2
I need help i'm never good at math :((
Answer:
The answer is d. (0,-6)
Step-by-step explanation:
which point is the image of P
Answer:
A
Step-by-step explanation:
we know that xoy is 90° on every quadrant
also the origine where p start is a little bit down from x axis so A is the right answer as it is the most logical point
D and C cant be P because are a very large angle of rotation than 105.B is smaller then 105 rotation of p so A is the right one.
2x – 2 7
how do i graph this?
tabulate the of value x and y. i don't y so if u hv it in the question then u put maybe when x=0 then find value of y and all intergers near zero of ur choice in the x value.
eg x= -1, find value of y
after draw the x,y plane and graph ur answers.
What is the answer to this question?
Answer:
Multiple 234 denomitor to that
Step-by-step explanation:
!!!!
Una fracción con denominador 5 entre 0 y 1 ?
Answer:
1/5, 2/5, 3/5, and 4/5
Step-by-step explanation:
A pet store has three fish tanks, each holding a different volume of water and a different number of fish. Tank AAA holds 40\text{ L}40 L40, start text, space, L, end text and 555 fish. Tank BBB holds 100\text{ L}100 L100, start text, space, L, end text and 121212 fish. Tank CCC holds 180\text{ L}180 L180, start text, space, L, end text and 232323 fish.
Answer:
The tanks by volume per fish from least to greatest:
Tank C, Tank A, Tank B
Step-by-step explanation:
A pet store has three fish tanks, each holding a different volume of water and a different number of fish.
Order the tanks by volume per fish from least to greatest.
Tank A holds 40 L and 5 fish.
= 40L/5 fishes
= 8 volume per fish
Tank B holds 100 L and 12 fish
= 100L/12 fishes
= 8.3333333333 volume per fish
Tank C holds 180 L and 23 fish.
= 180L /23 fish
= 7.8260869565 volume per fish
The tanks by volume per fish from least to greatest
Tank C, Tank A, Tank B
How can we re-write the expression below into ""friendlier"" terms? 6 ∙ 29
Answer:
A. 6 ∙ (30 - 1)
Step-by-step explanation:
How can we re-write the expression below into “friendlier” terms? 6 ∙ 29
options:
A. 6 ∙ (30 - 1)
B. 6 ∙ (16 + 13)
C. 6 ∙ (19 + 10)
D. 6 ∙ (21 + 8)
Re-writing an expression in friendlier term means expressing the term using numbers that are closest to the expression.
Checking all options,
A. 6 ∙ (30 - 1)
Option A seems closer to 6 ∙ 29 because, 30 - 1 which is very easy to evaluate gives 29
Moreover, 29 is very close to 30
Compared to other options, which have values that requires more thinking in evaluation
find f (-2), f(0), and f(3)
Answer:
f en el chat box
Step-by-step explanation:
Laney bought 1 2/3 pounds of grapes. She also
bought bananas that were
2 1/4 times the weight of
the grapes. How much did the bananas weigh? helppppp
Answer:
The bananas weigh 3 3/4 pounds.
Answer: 3 3/4
Step-by-step explanation:
All we have to do is multiply the weight of the grapes by 2 1/4.
= 1 2/3 x 2 1/4
= 5/3 x 9/4
= 45/12
= 3 9/12
= 3 3/4
Can anyone explain how to do multiplicative inverse? im in 8th grade btw... please give an example and explain. I will mark you the brainliest pleaseee
Answer:
i dont get it
Step-by-step explanation:
Answer:
Step-by-step explanation:
Multiplicative inverse is the reciprocal of a number.
Example:
15 x ? =1
The reciprocal of 15 is 1/15 therefore,
15 x 1/15 =1
You would cross cancel the 15 integers. Leaving 1 on bothsidea
What is the value of x
Answer:
x = 5
Step-by-step explanation:
This uses the altitude on hypotenuse theorem
The 2 triangles formed are similar to the given triangle and to each other.
Δ ADB ~ Δ BDC
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{DB}{DC}[/tex] = [tex]\frac{AD}{BD}[/tex] , substitute values
[tex]\frac{10}{4x}[/tex] = [tex]\frac{x}{10}[/tex] ( cross- multiply )
4x² = 100 ( divide both sides by 4 )
x² = 25 ( take the square root of both sides )
x = [tex]\sqrt{25}[/tex] = 5
Laura is planning a party for her son. She has $50 dollars remaining in her budget and wants to provide one party favor per person to at least 10 guests. She found some miniature stuffed animals for $6.00 each and some toy trucks for $4.00 each. Which system of inequalities represents this situation, where x is the number of stuffed animals and y is the number of toy trucks?
Answer:
The system of inequalities that represents this situation is:
x+y≥10
6x+4y≤50
Step-by-step explanation:
As the statement says that Laura wants to provide one party favor per person to at least 10 guests, the first inequality would indicate that the number of stuffed animals plus the number of toy trucks should be equal or greater than 10:
x+y≥10
Also, the statement indicates that miniature stuffed animals cost $6.00 each and the toy trucks cost $4.00 each and that Laura has $50. From this, you would have an inequality that indicates that 6 for the number of miniature stuffed animals and 4 for the number of toy trucks would be equal or less than 50:
6x+4y≤50
The answer is that the system of inequalities that represents this situation is:
x+y≥10
6x+4y≤50
