Answer:
To prove: The equation x2+px−1=0 has real and distinct roots for all real values of p.
Consider x2+px−1=0
Discriminant D=p2−4(1)(−1)=p2+4
We know p2≥0 for all values of p
⇒p2+4≥0 (since 4>0)
Therefore D≥0
Hence the equation x2+px−1=0 has real and distinct roots for all real values of p
Today, everything at the store is on sale. The store offers a 20% discount
If the regular price of an item is x dollars, what is the discount price in dollars?
Answer:
.8x dollars
Step-by-step explanation:
Twenty percent off means you are paying 80 percent of every dollar, and 80 percent translates to .8 to 1 as a proportion.
Answer:
$.80x
Step-by-step explanation:
0.80x
A bakery made 24 cherry pies, using 114 cherries for each pie. They threw away 35 cherries that were bad. If they used all the cherries they had, how many cherries did they start off with?
Answer:
2,771
Step-by-step explanation:
24 x 114 = 2736 + the 35 they threw away = 2,771
Sasha drinks 2.5 liters of water each
weekday. She drinks a total of 3 liters of
water on the weekend. What is the total
volume of water, in milliliters, Sasha drinks
each week?
Answer:
17000
Step-by-step explanation:
2.5
.5
11.0
3*2=6
11
+6
17
.RP.1.3 | JoAnn bought 2 shirts for $13.50 each and a purse for $8.
The sales tax was 6%. What is the total she paid for her
purchase, including tax?
Answer:
The answer is $22.79. Hope this helped! If the answer is wrong i'm super sorry!
Step-by-step explanation:
$13.50 + $8 = $21.50
0.06 x 21.50 = $1.29
$1.29 + $21.50 = $22.79
what is the order from least to greatest with the numbers 5 13/30 5 1/6 5 68/90
Answer:
Step-by-step explanation:
5 1/6, 5 13/30, 5 68/90
There are 81 calories in a 0.75 cup serving of chicken noodle soup. How many calories are in a 2 cup serving?
Answer:
162Step-by-step explanation:
There are 81 calories in a 0.75 cup serving of chicken noodle soup. How many calories are in a 2 cup serving?
0.75*2=2 cups
81*2=162
Answer:
x = 216
Step-by-step explanation:
[tex]\frac{81}{0.75}[/tex] = [tex]\frac{?}{2}[/tex]
I hope this helps!!
There are 4 consecutive EVEN integers that have a sum of 268. What are the integers?
64 + 66 + 68 + 70
hope this helps!
convert 3x-y=-5 to slope intercept form
Answer:
y=3x+5
Step-by-step explanation:
y=mx+b
-y=-5-3x
divide each term
y=5+3x
reorder 5 and 3x
answer:y=3x+5
Alejandro uses the steps below to convert StartFraction 5 over 8 EndFraction to a percent. Five-eighths right arrow 8. 0 divided by 5 = 1. 6. 1. 6 = 160 percent. Which best explains Alejandro’s error? The division was computed incorrectly. The division was completed in the incorrect order. The decimal was moved to the right too many times. The decimal was moved to the right instead of the left.
Alejandro makes an error in the first steps he divides 8 by 5 which is incorrect he has to divide 5 by 8, and in the second step, he does not multiply the term by 100 and it can be determined by using fraction or percentage.
Given that,Alejandro uses the steps below to convert 5/8 to a percent.
8 divided by 5 = 1.6.,
1.6 = 160 percent
We have to determine,Which best explains Alejandro's error?
According to the question,Alejandro uses the steps below to convert 5/8 to a percent.
8 divided by 5 = 1.6.,
1.6 = 160 percent
The division was computed incorrectly.
The division was completed in the incorrect order. The decimal was moved to the right too many times.
The decimal was moved to the right instead of the left.
Alejandro uses the steps below to convert 5/8 to a percent.
To convert 5/8 into percentages following all the steps given below.
Step1; Firstly 5 is divided by 8,[tex]= \dfrac{5}{8} \\\\ = 0.625[/tex]
Step2; To convert 0.625 into percentage multiplied by 100,[tex]\rm = 0.625 \times 100\\\\= 62.5 \ percent[/tex]
Hence, Alejandro makes an error in the first steps he divides 8 by 5 which is incorrect he has to divide 5 by 8, and in the second step, he does not multiply the term by 100.
For more details about the Equation refer to the link given below.
https://brainly.com/question/18187260
Answer:
Just tell me the letter.
Step-by-step explanation:
which of the following are equivalent
Using Pythagoras, find the lengths of the sides labelled with letters.
Answer:
Step-by-step explanation:
A football team had 55 players at the start of the season
If you put $1000 in a savings account that yields an 7% annual rate of interest that is compounded weekly, how much would that be worth in 25 weeks
Answer:
A = $1034
Step-by-step explanation:
The relevant Amount function is A = P(1 + r/n)^(n*t), where r is the annual interest rate as a decimal fraction, n is the number of compounding periods per year, and t is the number of years.
There are 52 weeks in a year. Hence, n = 52, and 25 weeks = 25/52 year, or 0.481 year.
The accumulation (value of the savings) would be
A = ($1000)(1 + 0.07/52)^(52*[25/52]), or approximately
A = ($1000)(1.0013)^25, or approximately A = $1034
The figure below shows the number of dots in each of the first four terms of a pattern.
image 3946d177031641899e8a9055b29f185e
Which of these can be used to determine
N
, the number of dots, given
t
, the number of the term in the pattern?
N
=
4
(
t
−
1
)
N = 4 ( t − 1 )
N
=
3
t
+
1
N = 3 t + 1
N
=
3
(
t
−
1
)
+
1
N = 3 ( t − 1 ) + 1
N
=
3
t
+
2
Answer:
there is nothing just a a codding log
Step-by-step explanation:
Y=x2+3x+1
when х= 5, y=?
Answer:
y = 41
Step-by-step explanation:
Substitute x = 5 into the equation
y = 5² + 3(5) + 1 = 25 + 15 + 1 = 41
In(3x-1)+4 i don't know the answer
Answer:3x+5
Step-by-step explanation:
Answer:
In(3xe^4 - e^4)
Step-by-step explanation:
In(3x-1)+4
convert the constant to a log with base e:
In(3x-1) + In(e^4)
Simplify the expression:
In((3x-1)e^4)
Remove the parentheses:
In(3xe^4 - e^4)
Hope it help !
- is dilated to be ' ' ' '. The original is the center of dilation.
What scale factor is used to create the dilation?
The solution set of inqulity 4>-2x in R is …
[tex]4>-2x\\\\\implies -\dfrac{4}2 <\dfrac{-2x}{-2}\\\\\implies -2<x\\\\\implies x >-2\\\\\text{Interval, }~ (-2, \infty)[/tex]
A T-shirt company charges $4 per T-shirt, plus a
flat shipping fee of $5. Terry bought some
T-shirts. How can you write an algebraic
expression to represent the total cost of Terry's
order including shipping?
Plz help plz
Answer:
y = 4x + 5
Step-by-step explanation:
4 times the number of shirts, which is unknown, +$5 no matter how many.
Answer:
4x + 5
Step-by-step explanation:
Four multiplied by the number of shirts purchased (x) plus five dollars for shipping.
I hope this helps!!
What is 246,588 rounded to the ten thousands place?
246,588 rounded to the nearest 10 thousands place is 250,000
Answer:
2(x + 3) + 4(9x + 8) = ?
Answer:
38x + 38
Step-by-step explanation:
The United States and Canada have the production possibilities curves shown above. It is determined that the United States has the comparative advantage in peanuts. Will both nations gain from trade if the terms of trade that are offered are 1 Peanut= 3 Corn? Why or why not? Show your work.
This is economics
It is false both nations will benefit if the terms of trade are 1 peanut = 3 corn.
What is the comparative advantage?The comparative advantage refers to the ability of one company or nation to produce something at a lower cost. In this case, the U.S. can produce peanuts at a lower cost than Canada.
Will both nations benefit if they trade 1 peanut for 3 corn?No, due to their differences in the amounts of units produced and their comparative advantage both nations will not benefit from this trade.
Canada: Canada can produce 60 corn for every 20 peanuts, this can be understood as a 1 peanut : 3 corn ratio, therefore, this country will benefit from the 1 peanut = 3 corn term.United States: The United States produces 60 corn for every 60 peanuts or 1 peanut: 1 corn. Due to this, they will not benefit from the trade because this nation does not produce enough corn to meet the demand of 1 peanut = 3 corn.Learn more about comparative advantage in: https://brainly.com/question/4461081
There is a string of red and blue lights strung around
a window. The red lights blink every 3 seconds, and
the blue lights blink every 5
seconds. How many
times will they blink at the same time in one
minutes?
Answer:
4 times because they will have the common number of 15 and since there is 60 seconds in a minute you would divide 60 by 15, and that equals 4
Step-by-step explanation:
Write an expression for the total number of fish and plants in all the sets using the expression you found in part A.
The expression for the total number of fish and plants in all the sets is 24x + 18y.
The given parameters:
Number of fish, = 24Number of plants, = 18Let the total number of fish and plants = T
Let the total number of fish in all the sets = 24x
Let the total number of plants in all the sets = 18y
The expression for the total number of fish and plants in all the sets is calculated as follows;
T = 24x + 18y
Thus, the expression for the total number of fish and plants in all the sets is 24x + 18y.
The complete question is below:
Insert images of the plant and the fish in the space provided to arrange the 24 fish and the 18 plants into sets so that each set has the same number of fish and the same number of plants and none are left over. (In each set, the number of plants does not have to be equal to the number of fish.) Write an expression for the total number of fish and plants in each set
Learn more about word problem to algebra here: https://brainly.com/question/21405634
5x+1=3x+y=-15, what is x?
Answer:
x= -16/5
Step-by-step explanation:
5x+1=-15
solve
5x+1=-15
-1
5x=16
16/5
x= -16/5
PLS HELP WILL MARK YOU BRAINLIEST!!
No fake answers pls
Answer:
1. =
Step-by-step explanation:
1.
R.H.S
5.2 + 5.a
(now taking 5 common)
5(2+a)
Today 60 students rode their bicycles to Coast Middle School. If this is 75% of the students at the school, how many students attend Coast middle School?
Answer:
i think students attend Coast middle School 80 students
Step-by-step explanation:
students attend Coast middle School x students
75%x = 60
x = 60×100/75
x = 80
Answer:
80 students attend
Step-by-step explanation:
75% is the same as 3/4 so you divide 60 by 3 to get 20 then you can multiply that by 4 to get 80
what is the sum of 4 and -5
Answer:
-1
Step-by-step explanation:
its like subtracting 5 and 4
A total of 11 trucks was used to carry 126 tonnes of iron. Some of the trucks carry
16 tonnes each, and the rest carry 6 tonnes each. Form an equation and solve it to
find the number of 16 tonne trucks.
Step-by-step explanation:
x = number of trucks with 16 tonnes capacity
y = number of trucks with 6 tonnes capacity
x + y = 11
16x + 6y = 126
the first equation gives us
x = -y + 11
and we use that in equation 2 :
16(-y + 11) + 6y = 126
-16y + 176 + 6y = 126
-10y = -50
10y = 50
y = 5
x = -y + 11 = -5 + 11 = 6
the number of 16 tonne trucks was 6.
Find the slope of the line segment shown.
A) -1/2
B -1
C 1/3
D 1
Answer:
D)
Step-by-step explanation:
The answer would be D. The slope of a line is how fast it climbs. Height divided by base. Up divided by over. Thus, if it goes across 3 and up 1, its slope would be 1/3. If it goes across 1 and up 2, the slope is 2. If it goes across 1 and up -1, the slope is -1.
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