Given:
Consider the expression is
[tex]144x^2-100[/tex]
Jeremy factored the given expression and his steps are given.
To find:
The error in his solution.
Solution:
We have,
[tex]144x^2-100[/tex]
It can be written as
[tex]=12^2x^2-10^2[/tex]
[tex]=(12x)^2-10^2[/tex]
[tex]=(12x+10)(12x-10)[/tex] [tex][\because a^2-b^2=(a+b)(a-b)][/tex]
Taking out common factors from each parenthesis.
[tex]=2(6x+5)2(6x-5)[/tex]
[tex]=4(6x+5)(6x-5)[/tex]
So, Jeremy was incorrect because the common factor is [tex]2\times 2=4[/tex] instead of 2.
Therefore, Jeremy made his mistake in his last step.
Solve -3(2x-9) = -3.
A. 5
B. -4
C. -5
Answer:
5
Step-by-step explanation:
Answer:
Your answer is A.
Solve the following system of equations using substitution.
3m + 4n = - 12
n = - m - 2
A.m = -4, n = 2 O B.m = 4, n= -6
C. m = -8, n = 6 O D.m = 3, n = 1
(91+5) +(31-6)=?
Thanks
Answer:
121
Step-by-step explanation:
96+25=121
Answer:
121
Step-by-step explanation:
(91+5) + (31-6) = ?
The first step is to solve what's in the parenthesis.
91 + 5 = 96
31 - 6 = 25
(96) + (25) =
96 + 25 = 121
(91+5) + (31-6) = 121
Therefore, the correct answer is 121.
Hope this helps :)
If a rhombus is a square, then it is a rectangle ( True or False )
Answer:
That would be false
Step-by-step explanation:
0.2(3b - 15c)
plz help me
Answer:
if you meant to simplify here you go
Step-by-step explanation:
0.2(3b - 15c)=
0.2(3b)+0.2(−15c)=
0.6b−3c
Answer:
0.6b-3c
Explination:
0.2(3b - 15c)
we can use dispributive property because of the parentheses
by distributing 0.2 to 3b and -15c
we get 0.6b and -3c
you could be thinking why did the numbers shrink?
the numbers decrease because every time you multiply by a decimal the number decreases
High Hopes
Barry-
can someone help me with this
Answer:
A.) 3/4
Step-by-step explanation:
You can find this by dividing the distance from point Z to point Y by the distance of point X to point Y. The distance from Z to Y is 6 and the distance from X to Y is 8, so that means that the slope is 6/8, which simplifies to 3/4.
A combo meal and a salad cost $12
and 2 combo meals and a salad cost
$20.
How much is a combo meal?
How much is a salad?
Answer:
The cost of a combo meal is $8 and a salad is $4.
Step-by-step explanation:
You have to form simultaneous equations with the given informations. Let combo meal be m and salad is s :
[tex]m + s = 12 - - - (1)[/tex]
[tex]2m + s = 20 - - - (2)[/tex]
Next, you have to solve these equations :
[tex](2) - (1)[/tex]
[tex]2m + s - m - s = 20 - 12[/tex]
[tex]m = 8[/tex]
[tex]sub \: \: m = 8 \: \: into \: \: (1)[/tex]
[tex](1)⇒[/tex]
[tex]8 + s = 12[/tex]
[tex]s = 4[/tex]
Answer: 8$,4$
Step-by-step explanation:
Joey is building a doghouse. He measures the lengths of two sides and the hypotenuse to make sure the boards create a right triangle. Which of the measurements below could be used to create the right triangle?
Answer:
hv iub;k
Step-by-step explanation:
hg bjlh lj
Help me on this!!
Explain please.
Answer:
the answer is 5
Step-by-step explanation:
when you have something like 30=6x you have to get the x alone so you divide
Please help me. You will be marked brainliest.
Answer:
What do you need help with?
Step-by-step explanation:
The scale on a drawing is 2:in:5yd. If a length on the drawing is 6 inches, what is the actual length.
Answer:
15 yards
Step-by-step explanation:
proportion:
2/5:6/X
2x=30
x=15
PLZ ANSWE ASAP ASAP ASAP LIKE RN ASAP PLZ PLZ
Answer: Kris's bike
Step-by-step explanation:
KRIS 297/4.5 = 66 gallons per mile
JAKE 366/6 = 61 gallons per mile
BEN = 265.2/5.2 = 52 gallons per mile
The price p of a pizza is $6.95 plus $0.95 per topping t on the pizza, write a function rule
Answer:
y= 6.95+0.95t
Step-by-step explanation:
Given data
The price p of a pizza is $6.95
plus $0.95 per topping
let the number of toppings be t
and let the total cost be y
Hence for any number of topping t the cost function is
[tex]y= 6.95+0.95t[/tex]
The function rule for the prize of a pizza is
[tex]P=0.95t +6.95[/tex]
Given :
The price p of a pizza is $6.95 plus $0.95 per topping t on the pizza
Initial price of the pizza is 6.95
The cost of each topping is 0.95 .
Let 't' be the number of toppings on the pizza
Price of a pizza = initial cost of pizza + cost per pizza ( number of toppings)
[tex]p=6.95 +0.95(t)\\P=0.95t +6.95[/tex]
The function rule for the prize of a pizza is
[tex]P=0.95t +6.95[/tex]
Learn more : brainly.com/question/5747203
The CEO of a cell-phone company has recently noticed a 26% sales decrease in the month of July compared to June. Let n represent June’s sales. If y represents July’s sales, which equation can be used to determine the sales in July?
Answer:
y = n - 0.26n
y = 0.74n
Step-by-step explanation:
The equation that can be used to express the function above is given an Exponential Decrease function
Where:
y = a(1 - r)^t
Where
y = July sales
a = n = June sales
r = rate of decrease = 26% = 0.26
t = time in months = June to July = 1 month
t = 1
Hence, our equation =
y = n( 1 - 0.26)¹
y = n(1 - 0.26)
y = n - 0.26n
y = 0.74n
The equation that can be used to determine the sales in July is given as:
y = n - 0.26n
y = 0.74n
80 units needed 6 units per case
Answer:
First time sending a shipment to Amazon Warehouse here.
I have a question in regards to filling information for my inventory.
I have a total of 20 BOXES ready to be sent. Each individual -BOX- contains 8 smaLL boxes inside. Each smaLL box contains 6 units.
Also, I should specify I’m sending 4 colors, same item. 4 -BOX- red, 4 -BOX- blue, 6 -BOX- steel, 6 -BOX- black. ( 20 BOXES total)
Would you fill it this way:
Review Shipment Contents:
Units Per Case — Number of Cases — Shipped
RED 48 — 4 — 192
BLUE 48 — 4 — 192
STEEL 48 — 6 — 288
BLACK 48 — 6 — 288
---TOTAL UNITS = 960
Shipping Service
SHIPMENT PACKING
ONE SKU PER BOX
SELECT PACK LIST FORMAT
File format Total # of boxes
20 ???
I’m counting Units Per Case as the total number of units in a BOX. And Number of Cases as the number of BOXES. Is this Right?
My confusion is differentiating BOXES and CASES.
I was also thinking about counting Each smaLL box as a Case (Units per Case =6 units) and Number of Cases would be “32”; 4 BOXES of one color , 32 CASES total.
I might be over complicating myself but really need your help on this one so I send the right information to Amazon.
Please help me
I will mark brainliest!!
Answer:
it is x3
Step-by-step explanation:
there you go
8m + 34 = 10 - 16m
How do I do?
Answer:
m=-1
Step-by-step explanation:
8m + 34 = 10 - 16m
fist add 16m to each side
8m+16m+34=10
then subtract 34 from each side
8m+16m=10-34
add like terms
24m=-24
divide both sides by 24
m=-1
Cole's Computer Company charges $50 for a service call to your home to repair your computer system, and he charges $12 per hour, h, for labor for any repair. Cole uses this formula to calculate the total cost, t.
50 + 12h = t
Mr. Greene paid Cole a total of $86 for a repair. How many hours did it take to finish the job?
Group of answer choices
a. 3
b. 7
c. 5
d. 4
Answer:
3 hours
Step-by-step explanation:
50+12h=86
-50 on both sides
12h=36
divide by 12 on both sides
h=3
Answer:
3 hours
Step-by-step explanation:
50 + 12h = 86
12h = 36
h = 3
3x - 8 = 4(x+5) plz plz plz solve it
Answer:
=−28
Step-by-step explanation:
A new ticket program at Royals Stadium for college students charges a $20 membership fee and $5 per ticket
Answer:
fjhvhhgvc
Step-by-step explanation:
hihihihihihihihihihihihihihihihihhiihihibihihihihiihihhiihihihihihhihihihihihihihhiihhihihihihihihihihihihihihihihhihihiihihihihihihihihihihihihihihihhihiihihihhihiihihhhhhhhhhhhhhhhhhhhhhhhiiiiiiiiiiiiiiiiiiiihiih
y-y, = m (x - x) if
Slope = 3
Passes though the point (2,-4)
Which polynomial correctly combines the like terms and puts the given polynomial in standard form?
one-thirdx + 8x4 – two-thirdsx2 – x
Answer:
c: 8x↑4-2/3x↑2-2/3x
Step-by-step explanation:
eight x to the fourth power minus two-thirds x to the second power minus two-thirds x
its c on the edge
Answer:
c
Step-by-step explanation:
A family's home is currently worth $1,553,426, which is 70% higher than the home was
worth when they bought it. What was the value of the home when they bought it?
Answer:
The value of home when bought was $913,780.
Step-by-step explanation:
Given that:
Current worth of the house = $1,553,426
This is 70% more than the original worth of the house.
Let,
100 be the original percent and x be the original worth
Percent increase = (100+70)% = 170%
170% of x = $1,553,426
[tex]\frac{170}{100}x=1553426[/tex]
1.7x = 1553426
Dividing both sides by 1.7
[tex]\frac{1.7x}{1.7}=\frac{1553426}{1.7}\\x= 913780[/tex]
Hence,
The value of home when bought was $913,780.
Solve by factoring.
s2 + 8s + 15 = 0
Write down the gradient of the line
(1 Point)
y=1/2x
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The equation of a line in point- slope form is
y = mx + c ( m is the slope ( gradient ), c is the y- intercept )
y = [tex]\frac{1}{2}[/tex] x ← is in point- slope firm
with gradient = [tex]\frac{1}{2}[/tex]
What is the slope of y=0.75x+1 in fraction form
Will give brainliest
Answer:
Slope = 0.75
Step-by-step explanation:
Slope is coefficient of x
At Silver Gym, membership is $20 per month, and personal training sessions are $35 each. At Fit Factor, membership is $40 per month, and personal training sessions are $25 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
NEED IT DONE ASAP BY 6:00
Answer:
20+35x=40+25x, 35x- 25x=40-20, 10x=20, x=2 , 2 sessions
Find the value of x and the value of y.
A. x = 130, y = 50
B. x = 135, y = 45
C. x = 140, y = 40
D. x = 145, y = 35
Answer:
B. x = 135, y = 45Step-by-step explanation:
x° + y° = 180° {suplementary angles}
x° = 3y° {corresponding angles by parallel lines}
So:
3y° + y° = 180°
4y° = 180°
y° = 45°
y = 45
x° = 3×45° = 135°
x = 135
Liza wants to have more than $750 in her
savings account before she will leave for college.
Right now she has $300, and she is going to
baby sit to earn $ 12.00 an hour. How many hours
will Liza need to babysit before she leaves for
college? What’s the inequality
Answer:
x is equal to or greater than 38.
Step-by-step explanation:
use the equation 300+12x to find the amount of money in total dependent on x, the number of hours she worked.
Step-by-step explanation:
750-300= $450 left that needs to be save to meet her goal.
set an equation to equal 450 that includes the next part of the information given which is $12 and hour
450=12x
isolate x by dividing 12 to both sides
x= 37.5 hrs
the inequality could be :
750<_ 300+ 12x
If I was given the explicit formula how to I find the recursive formula?
9514 1404 393
Answer:
solve for f(n) in terms of f(n-1)
Step-by-step explanation:
In general, you solve for f(n) in terms of f(n-k) for k = 1, 2, 3, ....
__
Usually, such questions arise in the context of arithmetic or geometric sequences.
Arithmetic sequence
The explicit formula for an arithmetic sequence has the general form ...
a(n) = a(1) +d(n -1) . . . . . . . first term a(1); common difference d
The recursive formula for the same arithmetic sequence will look like ...
a(1) = a(1) . . . . . . . the first term is the first term
a(n) = a(n-1) +d . . . the successive terms are found by adding the common difference to the term before
__
Note: The explicit formula may be given as the linear equation a(n) = dn +b. Then the first term is a(1) = d+b.
__
Geometric sequence
The explicit formula of a geometric sequence has the general form ...
a(n) = a(1)·r^(n -1) . . . . . . first term a(1); common ratio r
The recursive formula for the same geometric sequence will be ...
a(1) = a(1) . . . . . . the first term is the first term
a(n) = a(n-1)·r . . . the successive terms are found by multiplying the term before by the common ratio
__
Note: The explicit formula may be given as the exponential equation a(n) = k·r^n. Then the first term is a(1) = kr.
__
Other sequences
Suppose you're given the quadratic sequence ...
a(n) = pn^2 +qn +r
Since the sequence is known to be quadratic (polynomial degree 2), we expect that we will only need the two previous terms a(n-1) and a(n-2). Effectively, we want to solve ...
a(n) = c·a(n-1) +d·a(n-2) +e
for the values c, d, and e. Doing that, we find ...
(c, d, e) = (2, -1, 2p)
So, the recursive relation is ...
a(1) = p +q +r
a(2) = 4p +2q +r
a(n) = 2a(n-1) -a(n-2) +2p
__
Additional comment
The basic idea is to write the expression for a(n) in terms of terms a(n-1), a(n-2) and so on. That will be easier for polynomial sequences than for sequences of arbitrary form.
There are some known translations between explicit and recursive formulas for different kinds of sequences, as we have shown above. If you recognize the sequence you have as being of a form with a known translation, then you would make use of that known translation. (For example, Fibonacci-like sequences are originally defined as recursive, but have explicit formulas of a somewhat complicated nature. If you recognize the form, translation from the explicit formula may be easy. If you must derive the recursive relation from the explicit formula, you may be in for a lot of work.)