Answer:
Below.
Step-by-step explanation:
a) 5x-x² = x(5 - x).
b) x²-6x-27 = (x - 9)(x + 3).
c) x²+x-56 = (x - 7)(x + 8).
d) x³+8 = (x + 2)(x^2 - 2x + 4)
e) 3x⁴-54t = 3(x^4 - 18t)
f) x²+3x-10 = (x - 2)(x + 5)
g) 2(x⁴+x³-12x²) = 2x^2(x + 4)(x - 3)
h) 20(x³-1) = 20(x - 1)(x^2 + x + 1)
y varies jointly as x and z. If y = 5 when x = 3 and z= 4, find y when x = 6 and z = 8.
Answer:
y = 20
Step-by-step explanation:
Given y varies jointly as x and z then the equation relating them is
y = kxz ← k is the constant of variation
To find k use the condition y = 5 when x = 3 and z = 4
5 = k × 3 × 4 = 12k ( divide both sides by 12 )
[tex]\frac{5}{12}[/tex] = k
y = [tex]\frac{5}{12}[/tex] xz ← equation of variation
When x = 6 and z = 8 , then
y = [tex]\frac{5}{12}[/tex] × 6 × 8 = [tex]\frac{5}{12}[/tex] × 48 = 5 × 4 = 20
A factory produces bolts at a constant rate. After 4 hours, 3,200 bolts have been produced. Which graph models a relationship with the same rate?
The graph that models the relationship between the factory production and the time is the graph in option D
The number of bolts produced within four hours is 3200
The rate of production is the ratio of the change in the number of bolts produced to the the change in time
Change in the number of bolts produced, ∆y = 3200 bolts
Change in time, ∆t = 4 hours
Rate of change = ∆y / ∆t
Rate of change = 3200/4
Rate of change = 800 bolts per hour
The only graph that models this relationship is the graph in option D because it also have a rate of change of 800 bolts per hour
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6. Order the following decimal numbers
from least to greatest.
0.3
3.45
34.5
1.03
Answer:
In order: 0.3 - 1.03 - 3.45 - 34.5
Step-by-step explanation:
0.3 is less than 1. 1.03 is over 1. 3.45 is over 3. 34.5 is over 34, which is the greatest.
30 65 and 75 lcm12 24 36 and 48 lcm6 8 15 and 35 lcm20 25 35 and 70 lcm18 20 24 30 lcm
The number 2.31 is 2,200 times greater than 1.05 .
Find the correct value of x and y.
A. x = 10 and y = 30
B. x = 10 and y = 13
C. x = 30 and y = 10
D. x = 13 and y = 10
Answer:
2.31 is not 2,200 times greater than 1.05.
(2,200)(1.05) = 2310
Did you mean 2.200 times greater?
I don't understand what to do with x and y. It seems the correct values are listed, absent any additional information.
Step-by-step explanation:
Help is very much appreciated thank you!!!
Answer:
2 <= x < 8
Step-by-step explanation:
2 is less than or equal to x and the symbol for that is <=
the least number should also be on the left side
8 is greater than x so the symbol is <
8 is the biggest number and goes on the right
emma makes 21 laps during a 5 minute song how many laps per minute did emma make how do I show my work?
Answer:
4.2 laps per minute
Step-by-step explanation:
21laps/5min = 4.2laps/1min
Find the coordinates of the other endpoint when you are given the midpoint (point M) and one of the endpoints (point P).
P = (10, 6) and M = (-4, 8)
Answer:
(-18, 10)
Step-by-step explanation:
If the other end point is Q, the midpoint is ...
M = (P +Q)/2
2M = P +Q
Q = 2M -P = 2(-4, 8) -(10, 6) = (-8-10, 16-6)
Q = (-18, 10)
The other end point is (-18, 10).
A line is defined by the equation 2x + y = 4. Which shows the graph of this line?
Edge
write a linear equation that passes through the point (-3,3) and (9,-13)
Answer:
y=-4/3x-1
Step-by-step explanation:
[tex] \frac{ {y}^{2} - {y}^{1} }{ {x}^{2 -{x}^{1} } } [/tex]
[tex] \frac{ - 13 - 3}{9 - - 3} = \frac{ - 16}{12\ }[/tex]
y=mx+b like this:
y=-4/3x+b
To find b:
y=-4/3x+b.
You can use either (x,y) point you want..the answer will be the same
(-3,3). y=mx+b or 3=-4/3 × -3+b, or solving for b: b=3-(-4/3)(-3). b=-1.
(9,-13). y=mx+b or -13=-4/3 × 9+b, or solving for b: b=-13-(-4/3)(9). b=-1.
Erin finds 5% sales tax for a shirt that costs $21. She calculates the tax as
0.05 * 21 = 1.05 or $1.05.
Erin notices that she can add 21 + 1.05 = 22.05 to find the total cost, $22.05.
She uses the Distributive Property to write (1 * 21) + (0.05 * 21) = 1.05 * 21.
For each item, write the total cost of
the item as the product of two
numbers.
Tax
1.05 x 21
a.
b.
c.
d.
Item Name Price Tax Rate
shirt
$21.00 5%
bicycle $45.90 7%
shoes
$67.50 6%
laptop $299.99 8%
$39.95 4%
Credit Debit Subtotal
Check Cash
Tax
Order total
Print Receipt Cash
video game
$474.34
Answer:
Step-by-step explanation:
a. Bicycle (1.07 x 45.90)
b. Shoes (1.06 x 67.50)
c. Laptop (1.08 x 299.99)
d. Video Game (1.04 x 39.95)
Two people answer = one brainliest for best answer 100pts
Use the following figure to answer the questions. Isosceles trapezoids ABCD and WXYZ are similar to each other.
For similar isosceles trapezoids ABCD and WXYZ, determine which of the following proportions are equivalent to each other. Select all situations that apply.
Thank you
Answer:
The first, third, and fourth answers are correct!
How many sides does a polygon have if the sum of the interior angles is 360
Answer:
4
Step-by-step explanation:
we know that triangles have 180 degrees inside them and quadrilaterals are made up of two triangles, since 180 x 2 is 360 we know it's a quadrilateral.
lacie is making bracelets. if each has 11 beads, and each bead has 2 colors, red and green, how many different bracelets can lacie make if the bracelet can be rotated without losing its uniqueness but cant be flipped
Answer:24
Step-by-step explanation:
There are four springs stretched by the same mass.
Spring A stretches 25 cm.
Spring B stretches 10 cm.
Spring C stretches 100 cm
Spring D stretches 1 cm.
Which spring has the largest spring constant?
Ο Α
O B
O C
O D
Answer:
C is my answer
You cam correct me if im wrong in the comments
Use the binomial formula to find the coefficient of the q^4 p^17
term in the expansion of (29+p)^21
Recal the binomial theorem:
[tex]\displaystyle (a+b)^n = \sum_{k=0}^n \binom nk a^{n-k} b^k[/tex]
Then
[tex]\displaystyle (2q+p)^{21} = \sum_{k=0}^{21} \binom{21}k (2q)^{21-k} p^k = \sum_{k=0}^{21} \binom{21}k 2^{21-k} q^{21-k} p^k[/tex]
We get the q⁴p¹⁷ term when k = 17, and its coefficient would be
[tex]\dbinom{21}{17} 2^{21-17} = \dfrac{21!}{17!(21-17)!} 2^4 = \dfrac{21\cdot20\cdot19\cdot18}{4\cdot3\cdot2\cdot1}\cdot2^4 = \boxed{95,760}[/tex]
The times for running a 5K for a local charity event are Normally distributed with a mean time of 28 minutes and
standard deviation of 5.4 minutes. Which time represents the 60th percentile?
Find the z-table here.
A. 19.6 minutes
B. 26.6 minutes
C. 29.4 minutes
D. 36.4 minutes
Answer:
29.4 minutes represents the 60th percentile
Step-by-step explanation:
Given : The times for running a 5K for a local charity event are Normally distributed, with a mean time of 28 minutes and standard deviation of 5.4 minutes.
To Find : Which time represents the 60th percentile?
19.6 minutes
26.6 minutes
29.4 minutes
36.4 minutes
Solution:
time represents the 60th percentile
Means 60 % data = 0.6 below this
from z table , z score for this = 0.253
z score = ( Value - Mean ) / SD
=> 0.253 = ( Value - 28 ) /5.4
=> 1.3662 = Value - 28
=> Value = 29.3662
=> Value = 29.4
29.4 minutes represents the 60th percentile
PLEASE HELP!!! WORTH 50 PTS
6.7 Problem 12
A given bacteria culture initially contains 2500 bacteria and doubles every half hour. The number of bacteria p at a given time t is given by the formula p(t)=2500ekt for some constant k. (You will need to find k to answer the following.)
(a) Find the size of the bacterial population after 20 minutes.
(b) Find the size of the bacterial population after 9 hours.
Answer:
I think it is 392=but am not sure
help with the problem in picture
Answer:
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Step-by-step explanation:
(1/3)^-2 + (1/4)^-2 = (125)^x
Find the value of x?
Given that :(1/3)^-2 + (1/4)^-2 = 125^x
⇛[1/(1/3)]²+[1/+1/4)]² = 125^x
Since a^-n = 1/a^n
⇛ (3)²+(4)² = 125^x
⇛ (3×3)+(4×4) = 125^x
⇛ 9+16 = 125^x
⇛25 = 125^x
⇛ 5² =( 5³)^x
⇛ 5² = 5^(3x)
Since (a^m)^n = a^mn
⇛ 2 = 3x
Since the bases are equal then exponents must be equal
⇛3x = 2
⇛ x = 2/3
Therefore,x = 2/3
Answer:- The value of x for the given problem is 2/3.
also read similar questions:- evaluate 1. 5x = 125(x-2) 2. 2(x + 3) = 4 (x + 4)..
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Ms. Tyson has a part time job selling cars. She earns a commission of 0.6% on all her sales. If her sales for last week was $281,634 how much was her commission check?
Based on the information given her commission check is $1,689.8.
Using this formula
Commission check=Commission earned× Sales
Where:
Commission earned=0.6% or 0.006
Sales=$281,634
Let plug in the formula
Commission check= 0.006×$281,634
Commission check=$1,689.8
Inconclusion her commission check is $1,689.8.
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Determine the intervals on which the function is increasing, decreasing, and constant.
A) Increasing on (-infinity ,infinity )
C) Increasing on (0, infinity); Decreasing on (-infinity ,0)
B) Increasing on (-infinity ,0); Decreasing on (0,infinity )
D) Decreasing on (-infinity, infinity )
Answer:
A. Increasing on (-infinitity, infinity)
Step-by-step explanation:
If you look at the graph from left to right, the line is always going up towards higher numbers, meaning that it's always increasing.
encuentra el termino indicado de cada sucesion aritmetica #12avo termino de 2,4,6. #10mo termino de 1,-1-5. #8vo termino de -1,1,3
Step-by-step explanation:
hope it will helps you my answer
parallel perpendicular or neither
I was gone for 2 days in school and have no idea how to do this, anyone mind helping.
Which graph represents y as a function of x?
Answer:
Bottom left.
Step-by-step explanation:
In order for any of them to be the graph of a function you would need that given a value of x, you get no more than one value of y. Zero is fine, you just picked an x out of the domain.
In layman's terms it means that if you grab a ruler, a piece of paper, a pen, and you scan the graph moving the edge parallel to the y axis (ie, vertically) you are allowed to touch the graph only once. Top right is out. Bottom left is ok, bottom right is not: you have infinite points of contact in there.
Top left would be fine, if it wasn't for x = 1. In there you have two values marked with a solid dot. That makes it not the graph of a function.
Answer plsss? Much appreciated if done so
Answer:
Step-by-step explanation:
[tex]\dfrac{a^{m}}{a^{n}}=a^{m-n}\\\\\\\dfrac{12e^{5}}{3e^{3}}=\dfrac{12}{3}*e^{5-3}\\\\\\=4e^{2}[/tex]
Answer:
4e^2
Step-by-step explanation:
12 e^5
-----------
3 e^3
Divide the constants
12/3 = 4
We know that dividing exponents with the same base means subtracting the exponents
e^5 / e^3 = e^(5-3) = e^2
4e^2
A country has two political parties, the Demonstrators and the Repudiators. Suppose that the national senate consists of 100 members, 44 of which are Demonstrators and 56 of which are Repudiators. (a) How many ways are there to select a committee of 10 senate members with the same number of Demonstrators and Repudiators
Can you please help me
Answer:
11
Step-by-step explanation:
x-4-2=-11
i need help on this asap
Answer:
X = -5
Step-by-step explanation:
X-4-2=-11
X-6=-11
X=-11+6
X=-5
Hope it helped youuuuu
