Jessie has rewritten the quadratic equation x2-32x +54 -0 in the form (-p) = 202. What is the value of p in the rewritten equation?
Given:
The quadratic equation is:
[tex]x^2-32x+54=0[/tex]
It can be written as [tex]-p=202[/tex].
To find:
The value of p in the rewritten equation.
Solution:
We have,
[tex]x^2-32x+54=0[/tex]
Isolate the constant term.
We need to make 202 on the right side. So, add 256 on both sides.
[tex]x^2-32x+256=-54+256[/tex]
[tex]x^2-32x+256=202[/tex]
[tex]-(-x^2+32x-256)=202[/tex]
Let [tex]-x^2+32x-256=p[/tex], then
[tex]-p=202[/tex]
Therefore, the value of p is [tex]-x^2+32x-256[/tex].
The given equation can be written as:
[tex]54=-x^2+32x[/tex]
Adding 148 on both sides, we get
[tex]54+148=-x^2+32x+148[/tex]
[tex]202=-(x^2-32x-148)[/tex]
Let [tex]x^2-32x-148=p[/tex], then
[tex]202=-p[/tex]
Therefore, the another possible value of p is [tex]x^2-32x-148[/tex].
a = 15 ; b =____________ ; c = 17
Answer:
16
Step-by-step explanation:
b=16
Following the pattern, we can assume that each term adds by 1. So 15+1 = 16.
please help me with this question
Answer:
-3x^2+16x+64
Step-by-step explanation:
First, you need to find the area of both areas (the total area and the area of the unshaded part). Let's find the total area.
(x+8)(x+8)=x^2+16x+64
The total area is x^2+16x+64
(2x)(2x)=4x^2
The area of the unshaded part is 4x^2
Now we have to subtract to find the area of the shaded part.
x^2+16x+64-4x^2
-3x^2+16x+64
That is the answer
Hope this helped!! :D
How can I find the height of a pyramid that has a base of 13m and a 13m lateral height
Answer:
Calculate the unknown defining height, slant height, surface area, side length and ... Online calculators and formulas for a pyramid and other geometry problems. ... h = height s = slant height a = side length. P = perimeter of base e = lateral .
Step-by-step explanation:
The population P of bacteria in a culture after t minutes is given by the equation p=p0 (1.14)^t where P0 is the initail population. If the number of the bacteria starts at 400, how long will it take for he population to incfrease to 2000
Answer:
The time taken is 4.79 minutes.
Step-by-step explanation:
[tex]P = Po(1.4)^{t}[/tex]
initial Population, Po = 400
Final population, P = 2000
Let the time is t.
[tex]2000 = 400(1.4)^{t} \\5 = (1.4)^t\\log 5 = t log 1.4\\0.6989 = 0.146 t \\t = 4.79 minutes[/tex]
hello please help i’ll give brainliest
Answer:
The sun and the earth's interiorStep-by-step explanation:
As,
The Earth has two basic sources of energy -
Earth's Interior- hat reaching the Earth from the Sun (Solar Energy) and that reaching the surface of the Earth the Earth itself (Internal or Geothermal Energy). Solar Energy - reaches the Earth in the form of radiant energy, and makes up 99.987% of the energy received by the Earth.The length of a rectangle is 3 inches more than its width. The perimeter of the rectangle is 34 inches.
length = 3 + width
perimeter = 34
34 ÷ 2 = 17
width = x
3 +x + x = 17
3 + 2x = 17
2x = 14
x = 7
width = 7
How can you determine whether two circles are congruent?
Answer:
If the diameter or radius of one circle is the same as another circle they are congruent.
Select all that apply 40% is what percent of 25
Answer:
10
Step-by-step explanation:
:)
Answer:
the answer is 10 :) I hope you do well in the rest of your test!
if you can answer this ill give you brainlist
Answer:
option 1
Step-by-step explanation:
the pattern will continue like this:
50 - 25
answer 1 is the correct answer!
Answer:The first question is the true statement <3
Step-by-step explanation
<3
Ian invested $20,000 in an account paying an interest rate of 3\tfrac{1}{4}3 4 1 % compounded continuously. Lauren invested $20,000 in an account paying an interest rate of 3\tfrac{7}{8}3 8 7 % compounded monthly. After 20 years, how much more money would Lauren have in her account than Ian, to the nearest dollar?
Answer:
$5047
Step-by-step explanation:
im smart
deltamath gang
[tex]p^{2} =0.81[/tex]
Answer:
[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]
[tex]p ^{2} = 0.81 \\ p = \sqrt{0.81 } \\ p = 0.9[/tex]
•°• √81 = 9 or 9² = 81
Answer:
P = 0.9
Step-by-step explanation:
Do square root Of .81.
A variable can never Have a square root OR a negative symbol
as Final answer
I hope this helps!
Maria is saving money to buy a bike. She has $42 and is going to save an additional $ 7 each week. The bike costs $133. In how many
weeks will she have enough money to buy the bike?
Answer:
Maria will have enough money to buy the bike in 13 weeks.
Step-by-step explanation:
w = weeks
42 + 7w = 133
take away 42 frim each side
7w = 91
divide each side by 7
w = 13
At the start of the week, an account had a balance of –$12.67. So far during the week, $20 has been deposited into the account and $13.47 has been spent from the account. At the end of the week, the balance needs to be at least $25 in the account. What is the minimum amount of money, in dollars, that still needs to be deposited into the account before the end of the week?
Use the dice lattice shown below to answer the question that follows.
When Martha rolled the dice 36 times, she got a sum of 8 seven times. Explain why Martha's
experimental probability is different than a theoretical probability.
Answer:
Theoretical probability is what is expected and experimental probability is the answer.
Step-by-step explanation:
Theoretical probability is what you expected the answer to be. In reality the experimental probability is the actual answer.
Helpppppppp plssssss
Answer:
16
Step-by-step explanation:
one side is four the other is four 4x4 is 16
Answer:
8
Step-by-step explanation:
Since its 1/2 cm per cube, each side is 4 cubes, 4x1/2 = 2. 2x2x2 = 8
pls help !!!!!!!!!!!
The length of a rectangle is 5 inches more than its width. The area of the rectangle
is 150 centimeters. Find the dimensions of the rectangle.
it's good to write it out
length = 5 + width
area = 150
width = x
length = 5 + x
area = length * width
so
(5 + x) (x) = 150
5x + x^2 = 150
x^2 + 5x - 150 = 0
following you have to guess what 2 numbers when multiplied male 150 and when added make 5
and they are 15 and 10
(x +15) (x-10)
x = -15
x = 10
so the dimensions are
length = 15
and
width = 10
which statements are true about the graph of function f?
f(x)= log x
Answer:
I believe the correct answer here is C!
Step-by-step explanation:
The option (A) is correct.
What is graphs of logarithmic function?"The logarithmic function y = log b x is the inverse function of the exponential function y = b x. We can now proceed to graphing logarithmic functions by looking at the relationship between exponential and logarithmic functions".
For the given situation,
[tex]f(x)=logx[/tex]
Plot the graph of [tex]f(x)=logx[/tex] .
From the graph shown below, the region of the graph lies in the domain of { x|0 < x < ∞ } and approaches as 0 as x decreases.
Hence we can conclude that the option (A) is correct.
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Tommy bought p boxes of 26 paperclips. He already had 35 paperclips. Now, he has 191 paperclips. How many boxes of paperclips did Tommy buy in all?
Answer:
Tommy bought 6 boxes
Step-by-step explanation:
subtract 35 from 191, and you get 156. 156 divided by 26 = 6. so 6 boxes
Which equation represents: three times the difference of a number and five is nine
How fast is Spiderman going (in miles/hour)? *
Answer:
Prolly faster than the flash
Step-by-step explanation:
:)
Please helpppppp!!!!!!! Bots will be taken down .
step 1
so so s ososoosososososososososososososoosososososzosoosossoosososo
Step-by-step explanation:
The most important thing to remember is: SOH CAH TOA
sin(x) = opposite/hypotenuse
cos(x) = adjacent/hypotenuse
tan(x) = opposite/adjacent
So in #1:
We have the angle and hypotenuse and need to solve for the side opposite of the angle. This smells like a sine question.
sin(42)=x/25
this means that x=25sin(42). Plug that into the calculator and get: 16.73.
(Make sure you are in degrees mode)
For #2:
We are given the angle, the opposite side, and have to solve for the adjacent side. Looks like we need the tangent.
tan(75)=12/x
This means that x=12/tan(75). Calculator says: 3.22
For #3:
We have the angle, adjacent, and have to solve for the hypotenuse. This would be a cosine.
cos(36)=19/x
Solve for x: x=19/cos(36). Calculator says: 23.49
For #4:
We have the angle, adjacent side, and need the opposite side. This is another tangent problem.
tan(53)= x/7
Solving for x: x=7tan(53). Calculator says: 9.29
Drew has two cats. One cat weighs 17 pounds, and the other one weighs 1212 pounds. Audrey’s dog weighs 33 pounds.
What is the difference in ounces between Audrey’s dog and the combined weights of Drew’s cats?
Enter your answer in the box.
Answer:
48 ounces
Step-by-step explanation:
Answer:
64 ounces.
Step-by-step explanation:
combined weigh = weight of cat 1 + weight of cat 2
combined weigh = 17 + 12 = 29 pounds
The difference in weight of the Dog's weigh by the combined cat's weigh is the subtraction between the two, so we have:
Difference in weigh = 33 - 29 = 4 pounds
We now have to convert it to ounces, since 1 pound contains 16 ounces we can multiply the value of the weigh in pounds by 16 to obtain the final value:
Difference in weigh = (4 pounds)* 16 = 64 ounces
Using the Exxon data as an example pretend Pennys Pickles divide their company into 10,000 shares of stock. If you buy 200 of these shares what percent of Penny's Picklesdo you own
Penny's Pickles divide their company into 10,000 shares of stock. If you buy 200 of these shares then you will have [tex]2\[/tex] percent of Penny's Pickles.
What is percentage?Percentage a is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, [tex]\%[/tex].
Percentage [tex]=\frac{ You\ owned}{Total \ share} * 100[/tex]
We have,
Total shares of Penny's Pickles [tex]=10,000[/tex]
You owned shares [tex]= 200[/tex]
So,
Using above formula,
Percentage [tex]=\frac{ You\ owned}{Total \ share} * 100[/tex]
Percentage of shares I owned [tex]=\frac{200}{10000} * 100[/tex]
[tex]= 2 \%[/tex]
So, the shares you owned are [tex]2\ \%[/tex] of total share of the Penny's Pickles.
Hence, we can say that Penny's Pickles divide their company into 10,000 shares of stock. If you buy 200 of these shares then you will have [tex]2\[/tex] percent of Penny's Pickles.
To know more about percentage click here
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brainliest goes to whoever answers the question correctly also if you want more points answer my other questions
Answer:
D. All of the above
Step-by-step explanation:
All of those would reach higher than 300 when you go 4 to the right.
2
6
+
2
Area
HELP PLEASE
Answer:
X= 40
Step-by-step explanation:
if you compare the shapes, the X square is half of 6. so i added 6 and 3, then 2 and 3, then multiplied it, and the answer is 40.
What is the distance between tow points(-1,4)(3,2)
Answer:
2√5
Step-by-step explanation:
Distance = √(x1-x2)² + (y1-y2)²
Distance = √(-1-3)² + (4-2)²
Distance = 2√5
Answer:
[tex]\displaystyle d = 2\sqrt{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (-1, 4)
Point (3, 2)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(3--1)^2+(2-4)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(4)^2+(-2)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{16+4}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{20}[/tex][√Radical] Simplify: [tex]\displaystyle d = 2\sqrt{5}[/tex]A team of students is designing a new game to help their class review for a science test. They will make a rolling cube with a side length of 7 cm as part of the game.
A cube has side lengths of 7 centimeters.
How much material will they need to make the rolling cube?
49 square cm
138 square cm
294 square cm
307 square cm
Answer:
C (294)Step-by-step explanation:
Took the test :)
Find the lateral area. Round to the nearest thousandths.
Answer:
62.832
Step-by-step explanation: