Find the value of c that completes the square
x^2+2x+c
Please help me with how to do this, and show me. Thank you.
Answer:
The value of c that completes the square [tex]x^2+2x+c[/tex] is 1
Step-by-step explanation:
We need to find the value of c that completes the square [tex]x^2+2x+c[/tex]
The formula used will be: [tex]a^2+2ab+b^2=(a+b)^2[/tex]
In the question given the value c can be found by breaking the middle term. we are given 2x while the general formula is 2ab for middle term so,
2(x)(1) = 2x
so, c= 1
Solving:
[tex]x^2+2x+c\\=x^2+2(x)(1)+(1)^2-(1)^2\\=(x+1)^2-1[/tex]
So, the value of c that completes the square [tex]x^2+2x+c[/tex] is 1
hello quick question because i am dumb and dont know how to explain things just need some clarification
how do you tell if a domain is continuous or discrete on a table not a graph •~•
Step-by-step explanation:
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9514 1404 393
Answer:
The domain is always discrete when it is found from a table.
Step-by-step explanation:
A table necessarily lists a finite number of discrete points. The domain, as found from a table, is always discrete.
__
If the table is said to be a representation of a continuous function, then the domain of that continuous function will be continuous.
Your question seems to have to do with a table alone, not a table and an equation, or a table and a graph. A table (of points) alone cannot express a continuous domain.
__
Additional comments
One can conceive of tables that would have continuous domains, as, for example, a table with entries ...
(x, y) = (0 ≤ x < 3, 3x+2), (3 ≤ x < 6, 4x-1), ...
Such a table is not a list of points, but is a piecewise function definition. We presume this is not what you're concerned with.
Taryn is shopping for a Christmas tree. At Home Depot the one she likes is $149.00 and she has a 15% off coupon. At Lowe's the one she likes is $175.00 and she has a 20% off coupon. Which store has the better deal with their coupons? How much will she save if she gets the better deal?
Answer:
Step-by-step explanation:
At home depot
Price of Christmas tree = $149.00
Discount = 15%
Amount discounted = 15% of $149
Amount discounted = 15/100 * $149
Amount discounted = 15 * 1.49
Amount discounted = $22.35
Amount she paid = $149-$22.35
Amount she paid = $126.65
At Lowe's:
Price of Christmas tree = $175.00
Discount = 260%
Amount discounted = 20% of $175
Amount discounted = 20/100 * $175
Amount discounted = 0.2 * 175
Amount discounted = $35
Amount she paid = $175-$35
Amount she paid at Lowe's = $140
From the prices above, it can be seen that Home Depot has a better deal since the price after removing discount is lower than that of Lowe's.
Amount she will save will be $140 - $126.65 = $13.35
a farmer plants potatoes on 1/36 of his land. He plants peas on 5/36 of his land. What fraction of the farm's land do potatoes and peas cover?
Answer:
6/36
Step-by-step explanation:
1/36 + 5/36 = 6/36 OR 1/6
Answer:
1/5 of the farmers land has potatoes and pea plants growing on it
Step-by-step explanation:
so we are trying to figure out how much of the land is covered in potatoes and pea plants together so we add their fractions together
1/36 + 5/36 = 6/36
we then simplify the fraction by dividing both numbers by 6 since 6 can go equally within the fraction:
6/36 divided by 6 = 1/5
so 1/5 of his land is covered by potatoes and pea plants
Which of the statements below translates the mathematical equation "4x + 5 = 21?
Step-by-step explanation:
4x + 5 = 21
4x+5-5=21-5
4x=16
Divide both side by 4 so that we can have the x
x=4
suppose 30% out of 500 students play an instrument describe one way to find 30% out of 500
Answer:
Multiply 500 by 0.30
Step-by-step explanation:
30% = 0.30 In Decimal Form
Multiply
500x0.30=150
150 Is 30% Of 500
What is the slope of the line (-3,0) and (0,-4)
Gavin needs $80 to buy a fish tank. He has saved $8 and plans to work as a babysitter to earn $9 per hour. Which inequality shows the minimum number of hours, n, that Gavin should work as a babysitter to earn enough to buy the fish tank?
Answer:
n>8Step-by-step explanation:
Step one:
given data
needed amount= $80
the amount already saved= $8
earnings per hour= $9
let the number of hours worked be n
and let y represent the total
the situation represented linearly is
y=mn+c
Step two:
substituting our data to find n
9n+8>80
9n>80-8
9n>72
divide both sides by 9
n>72/9
n>8
Therefore he must work a minimum of 8houees
Milo pays $3 per pound for dog food at Pat's pound of food at Mark's Mutt Market. At which Palace. The graph below represents the cost per store will Milo pay a lower price per pound for dog food?
Answer:
Pat Pet's Palace
Step-by-step explanation:
Price of dog food at Pat Pet's Palace = $3 per pound
Price of dog food at Mark's Mutt Market can be estimated using the graph given.
The graph is a proportional graph, thus, the constant of proportionality between cost and pound = y/x
Using the coordinates of a point on the line, (2.5, 10), constant of proportionality or unit rate = y/x = 10/2.5 = 4.
This means the price of dog food at Mark's Mutt Market is $4 per pound.
Therefore, Milo would pay a lower price per pound for dog food at Pat Pet's Palace.
Of the students in Marci's school, 5/9 have a pet. Of the students who have a pet, 12/25 have a dog. What fraction of the students in the school have a dog?
Answer:
4 / 15
Step-by-step explanation:
Of all students ; 5/9 have a pets
Of the 5/9 who have a pet; 12 /25 have a dog
Fraction of the student in the school who have a dog;
12 /25 of fraction with pet
= 12 /25 of 5 /9
= 12 /25 * 5 / 9
= (12 * 5) / (25 * 9)
= 60 / 225
= 4 / 15
I need some help does anyone know this?
A circuit has a voltage of 500 volts and a resistance of 250 ohms. What is current? V = IR
Answer:
Step-by-step explanation: V= Voltage
I= Current
R= Resistance
Ohm's Law Mathematically expressed as: I= V/R or V= IR or R= V/I
V= 500
I= ?
R= 250
I= V/R
I= 500/250
I= 2 amps
Answer:
I know it know!!!!
Step-by-step explanation:
Which two ratios are equivalent to 10 : 12
Answer: 10 divided by 2 is 5 12 divided by 2 is 6
Answer: 20:24 and 50:60
Step-by-step explanation:
Skylar owns a small business selling bagels. She knows that in the last week 80 customers paid cash, 7 customers used a debit card, and 42 customers used a credit card.
Based on these results, express the probability that the next customer will pay with a credit card as a decimal to the nearest hundredth.
Answer:
The probability that the next customer will pay with credit card is approximately 0.33
Step-by-step explanation:
The given parameters are;
The number of customers that paid cash = 80 customers
The number of customers that used a debit card = 7 customers
The number of customers that used a credit card = 42 customers
The total number of different payments made = 80 + 7 + 42 = 129 payment
Probability = The number of desired outcome/(The number of possible outcome)
The probability that the next customer will pay with credit card = (The number of customers that used a credit card)/(The total number of different payments made)
∴ The probability that the next customer will pay with credit card = 42/129 ≈ 0.33 to the nearest hundredth.
A store manager is looking at past jewelry sales to determine what sizes of rings to keep in stock. The list shows the ring sizes purchased by the last ten jewelry customers.
9, 7, 6.5, 7.5, 7, 8, 5, 6, 7.5, 8
What is the variance of the data set? Round to the nearest hundredths.
0.40
0.72
1.15
2.14
Answer: 1.15
Step-by-step explanation:
Answer:
1.15 is the answer
Step-by-step explanation:
what is the measure of ABC?
Answer:
Using exterior angle theorem, we can find the answer.
x+45+3x = 6x+5
4x+45 = 6x+5
45 = 2x+5
40 = 2x
x = 20
TO FIND <ABC, WE WILL NEED TO FIRST FIND THE EXTERIOR ANGLE.
6x+5
= 6(20)+5
= 120+5
= 125
m<ABC:
180-125 (REASON: linear pair)
= 55
Which expression can be used to find the output numbers in
the table?
How MANY zeros does this graph have?
Answer:
3
Step-by-step explanation:
PLEASE HELP ME ANSWER NOW!!!! 15 POINTS
Answer:
x = 4
Step-by-step explanation:
6x + 4 = 12x - 20
x = 4
The following polynomial can be factored using the techniques of this lesson.
x² -36
A. True
B. False
Answer:
The correct answer for me was true
Step-by-step explanation:
A construction crew has repaired 1.37 miles of a highway. The total length of the highway to be repaired is 7.9. How many miles are left to be repaired?
Answer:
Part A: m+1.37=7.9
Part B: 6.53 miles are left to be repaired.
Step-by-step explanation:
Given,
Length of repaired part = 1.37 miles
Total length to be repaired = 7.9 miles
Miles left to be repaired = m
Part A:
Create an equation to show the relationship between the number of miles repaired and the number of miles left to be repaired, m.
Miles left to be repaired + Length of repaired part = Total length to be repaired
m+1.37=7.9
Part B
How many miles are left to be repaired?
Subtracting 1.37 from both sides
6.53 miles are left to be repaired.
Keywords: length, subtraction
Step-by-step explanation:
Can someone please help me with this question? " For what value of x makes the equation 4x-3.5 (2x-8) = 40 true"
Answer:
-4
Step-by-step explanation:
4x-3.5(2x-8)=40
4x-7x+28=40
-3x=40-28
-3x=12
x= -4
7(y + 2) – (4y – 10) = 44 – 2y + 5
y = -10
Answer:
y=-8
Step-by-step explanation:
7(y + 2) – (4y – 10)
=7y+14-4y+10
=3y+24
3y=-24
y=-8
Find the coordinates of the other endpoint if the midpoint is M(8, 2) and the other endpoint is P(5, 6). O (6.5, 4) (21, 10) O (11, -2)
Answer:
(11,-2)
Step-by-step explanation:
11+5 /2= 8
6+-2= -4/2=-2
Answer:
(11,-2)
Step-by-step explanation:
The one point you have is P(5,6)
The midpoint is (8,2)
The other point is (x,y)
(x + 5) /2 = 8
(x + 5) = 8*2
x + 5 = 16
x = 16-5
x = 11
===========
(y + 6)/2 = 2
y + 6 = 2*2
y + 6 = 4
y = 4 - 6
y = - 2
The following lines: y=2/3(x) and y=-3/2(x) are...
O Intersectings=
O Neither
O Parallel
O Perpendicular
Need ASAP
Answer:
the answer to this question is parallel
please help me with this
Step-by-step explanation:
-4 = x - y ...1
4 = -x + y ...2
...1 + ...2
-4+4 = x-y +(-x+y)
0 = 0
and I don't know next lol
3x(x-2)-x^2+4=0
Help
Answer:
x=2,1 solving with quadratic formula
Step-by-step explanation:
—16t^2 + 64t + 3
Please help as soon as possible 33 points if you do it!!
Answer:
51t^3
Step-by-step explanation:
64+3=67
67 +(-16)=51
t^2 +t= t^3
now you just add them up but they cant be combined because one is a number and the other a variable w an exponent so we just get 51t^3
I need help on the word problem with
hirhgkjsdbgkgbdk kbfsbjd jsbfbdh jabjdbshd jsjdsfkj
Answer: x>11
Step-by-step explanation:
5x + 5 + 3 = -4 + 7x + 7 - 3x
Answer:
[tex]5x + 7 = 3 + 4x \\ 5x - 4x = 3 - 7 \\ x = - 4[/tex]
The ratio of boys to girls in a class is 3:5. There are 40 students in the class. How many students are girls?
Step-by-step explanation:
3+5=8
40÷8=5
5x5=25 girls
5x3=15
Answer:
the number of girls are 16