Answer:
4t^2 - 28t + 49
Step-by-step explanation:
(2t - 7)^2
Use FOIL.
(2t - 7)^2 =
= (2t - 7)(2t - 7)
= 4t^2 - 14t - 14t + 49
Combine like terms.
= 4t^2 - 28t + 49
(2t - 7)² on expansion results in 4t² - 28t + 49.
What are Algebraic Identities?The algebraic equations which can be used for all variables in the equation is called Algebraic identities. These identities used in factorization of polynomial expressions as well as in the computation of algebraic expressions.
Some of the standard algebraic identities are:
(a + b)² = a² + 2ab + b²
(a - b)² = a² - 2ab + b²
a² - b² = (a + b) (a - b)
Here we have the expression (2t - 7)².
Using the second identity (a - b)² = a² - 2ab + b², we can write,
(2t - 7)² = (2t)² - (2 × 2t × 7) + 7²
= 4t² - 28t + 49
Hence the expression (2t - 7)² is expanded to 4t² - 28t + 49 using the algebraic identity (a - b)² = a² - 2ab + b².
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6th grade math help me please :)
Answer:
b
Step-by-step explanation:
i did it
I GIVE BRAINLILSTE
.................................
please help ! which of the following is equal to the rational expression when x ≠ 2 or -3?
Answer:
A
(x+1)(x-2) / (x-2)(x+3) = (x+1)/(x+3)
The simplification of the given rational expression when x is not equal to 2 or negative 3 is determined as (x + 1)/(x + 3).
Simplification of the expressionThe simplification of the given expression when x is not equal to 2 or negative 3 is determined as follows;
[tex]= \frac{(x + 1)(x -2)}{(x-2)(x + 3)}[/tex]
cancel "x-2" since it is common to numerator and denominator
[tex]= \frac{(x + 1)}{(x + 3)}[/tex]
Thus, the simplification of the given rational expression when x is not equal to 2 or negative 3 is determined as (x + 1)/(x + 3).
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write y=-4/5x-2 in a standard form using integers
a. 4x+5y=10
b 4x+5y= -2
c.-4x+5y=-10
d.4x+5y= -10
If the sum of a number and three is tripled the result is one less than twice the number. Find the number.
If the sum of a number and three is tripled the result is one less than twice the number. The number is 14.
Write an equation and expressions by defining variables first.
"a number" is x.
Then "the sum of a number and three is tripled" is 3(x+3).
And "five less than twice the number" is 2x - 5.
Set them equal and solve for x.
3(x+3) = 2x -5
3x+9 = 2x-5
x+9 = -5
x = -14
Every aspect of our daily life involves numbers, including the number of rounds we run around the race track, the number of hours we sleep at night, and much more. In mathematics, numbers can be even or odd, prime or composite, decimal, fractional, rational or irrational, natural or integer, real or whole, rational or irrational, or any combination of these.
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If the sum of a number and three is tripled the result is one less than twice the number is -10.
Given that,
We have to write an equation and expressions by defining variables first.
Numbers are present in every part of our everyday lives, including the number of laps we complete on the racetrack, the number of hours we sleep at night, and many other things. In math, a number can be even, odd, prime, composite, decimal, fractional, rational, irrational, natural, integer, real, whole, or any combination of these.
Let take "number" is x.
Then from given "the sum of a number x and 3 is tripled" is 3(x+3).
And "twice the number x and less then 1" is 2x - 1.
Set them equal and solve for x.
3(x+3) = 2x -1
3x+9 = 2x-1
x+9 = -1
x = -1-9
x=-10
Therefore, the number is -10.
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Measures of Position
13
on 14
stion 15
K
estion 16
Points: 0.43 of 1
A certain brand of automobile tire has a mean life span of 34,000 miles and a standard deviation of 2,350 miles. (Assume the life spans of the tires have a bell-shaped distribution.)
For the life span of 37,000 miles, z-score is 1.28
(Round to the nearest hundredth as needed)
(a) The life spans of three randomly selected tires are 33,000 miles, 37,000 miles, and 32,000 miles. Find the z-score that corresponds to each life span.
For the life span of 33,000 miles, 2-score is -0.43
(Round to the nearest hundredth as needed)
Question 16, 2.5.49
Part 5 of 5
For the We span of 32,000 miles, z-score is -0.85
(Round to the nearest hundredth as needed)
According to the z-scores, would the life spans of any of these tires be considered unusual?
O Yes
No
elp me solve this View an example
(b) The We spans of three randomly selected tires are 29,300 milles, 38,700 miles, and 34,000 mes. Using the empirical rule, find the percentile that corresponds to each life span
The Me span 29,300 miles corresponds to a percentile of
The Me span 38,700 miles comesponds to a percentile of
The Me span 34,000 miles corresponds to a percentile of
Get more help-
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Clean
If the mean span of automobile tires is 34000 miles and standard deviation is 2350 miles then the z scores that corresponds to the life spans of sample showing 33000 miles,37000 miles and 32000 miles are -0.4255, 1.2766 and -2.1277.
Given that mean span of automobile tire is 34000 miles and standard deviation is 2350 miles.
We are required to find the z score of the sample of 33,000 miles, 37,000 miles, and 32,000 miles.
A z-score basically gives us an idea of how far from the mean a data point is.
Z=(X-μ)/σ
In our case we have to find the mean of life span of three samples.
For the life span of 33000 miles,
Z=(33000-34000)/2350
=-1000/2350
=-0.4255
For the life span of 37000 miles,
Z=(37000-34000)/2350
=3000/2350
=1.2766
For the life span of 32000 miles,
Z=(32000-37000)/2350
=-5000/2350
=-2.1277
Hence if the mean span of automobile tires is 34000 miles and standard deviation is 2350 miles then the z scores that corresponds to the life spans of sample showing 33000 miles,37000 miles and 32000 miles are -0.4255, 1.2766 and -2.1277.
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Only first part of the question is understandable.
Four times of a positive integer is less than twice its square by 10. Find the integer.
Answer:
Step-by-step explanation:
Let the integer be x.
4 times of positive integer = 4x
Twice its square = 2x²
Less by 10
ATQ,
[tex]2x^2-4x-10=0\\\\x^2-2x-5=0\\\\x=3.44, -1.44[/tex]
Hence, this is the required solution.
A linear function has the equation 4x+6y= 50. What is the
value of a when y = 3?
x =
Answer: x=8
Step-by-step explanation:
4x+6y=50
4x+6(3)=50
4x+18=50
4x=32
x=8
The value of x when y = 3 in the linear function 4x + 6y = 50 is x = 8.
Use the concept of linear fucntion defined as:
The formula for a linear function is f(x) = mx + b, where m and b are real values. The slope-intercept form of a line is represented by the equation,
y = mx + b.
The given linear fucntion is:
4x+6y= 50
To find the value of x when y = 3,
Substitute y with 3 in the equation and solve for x.
4x + 6(3) = 50
4x + 18 = 50
To isolate x,
Subtract 18 from both sides:
4x = 50 - 18
4x = 32
Now we divide both sides by 4:
x = 32/4
x = 8
Hence,
When y = 3, the value of x in the linear function 4x + 6y = 50 is 8.
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Can yall helppp !! This is Pythagorean Theorem (Level 1) math pleaseee I need helpp :'(
Answer:
sorry for spamming
Step-by-step explanation:
Indian version of brainly is a good place for cha*ting
you can also join if u wish
A company has borrowed $50000 at 10% compounded quarterly. The debt is amortized by equal payment each quarter ove 15 years. Find the quarterly payments and how much interest will be paid?
A company has borrowed $50000 at 10% compounded quarterly. The debt is amortized by equal payment each quarter ove 15 years. Find the quarterly payments and how much interest will be paid?
7500000 is interest will pay quarterly .
What do compound and simple interest mean?
Simple Interest is the amount returned for using the borrowed funds over a predetermined amount of time. When the total principal amount surpasses the payment due date and the interest rate over a certain period of time, this is known as compound interest. S.I. = (P, T, and R) x 100 is the formula.p = $50000
r = 10%
t = 15 years
interest = 50000 * 10 * 15 /100
= 7500000
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Item 1
Workers install 840 chairs at a constant rate. After 8 days, the workers still have to install 360 chairs. How much time does it take to install the chairs from start to finish?
It took them 4 days to install 480 chairs which means if they were working at a constant rate they got 120 chairs installed daily. with 360 chairs left that means in 3 days they will finish. so overall, it took the workers 7 days to finish, or a week.
pls help i give brainliest if u answer early and good
Answer:
1 - BC = 5
2 - 174 (I think, im pretty sure tho)
3- 107
Step-by-step explanation:
Lets be real chief, you aren't here to learn. Ur taking test
Also, I got those numbers based on the images. The pic was kind of blurry
On being asked her age, Shalu replies, 'My brother was born 2 years before me and my sister 4 years after me, and the sum of their ages is 30 years." How old is Shalu?
Shalu is 16 years old.
The equation can be defined as a mathematical term that refers to a situation in which several factors must be considered. It is defined as the state of being equal and is frequently represented as a math expression with equal numbers on either side.
Two expressions joined by an equal sign form a mathematical statement known as an equation.
Shalu's brother was born 2 years before Shalu.
Shalu's sister was born 4 years after Shalu.
And the sum of Shalu's brother and sister's age is 30 years.
Let x be the age of Shalu.
As Shalu's brother was born 2 years before her = x + 2
As Shalu's sister was born 4 years after her = x - 4.
Therefore,
x + 2 + x - 4 = 30
2x - 2 = 30
Adding 2 on each side of the equation,
2x -2 + 2 = 30 + 2
2x = 32
Dividing each side of the equation by 2.
2x / 2 = 32 / 2
x = 16
Therefore, Shalu is 16 years old.
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Decide whether the triangles are similar. If so, determine the appropriate expression to solve for X.
PLEASE HELP 10points plus Brainlyest if correct
Answer:D
Step-by-step explanation:
Jenny puts 8 stickers on each page of her notebook she uses 72 stickers in. which equation can be used to find the number of pages of stickers in Jennys notebook
I really need some help with this!
Answer:
The answer correct is B
Answer: B
Step-by-step explanation:I hope this helps :)
Translate the sentence into an equation
seven times the sum of a number and 2 is equal to 3
Use the variable y for the unknown number
After a week of rain tadpoles appeared in your pond after T minutes you have 70+5 tadpoles in your friend has 18-3 tadpoles write an expression that represents the number of tadpoles you and your friend cart together who has more tadpoles after nine minutes
adolf hitlerStep-by-step explanation:
Which equation calculates the number of 1/8 foot pieces you can cut from 5 feet of ribbon
Answer:
40
Step-by-step explanation:
The number ribbons cut from the 5 feet long one is 40 ribbons, the equation is n = 5÷1/8
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
For example, 3x - 5 = 16 is an equation.
Given that, a ribbon of 5 feet long ribbon is cut into n 1/8-foot-long ribbons, we need to determine the equation calculates the number of 1/8 foot pieces,
So, the equation =
n = 5÷1/8
n = 40
Hence the number ribbons cut from the 5 feet long one is 40 ribbons, the equation is n = 5÷1/8
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G is the centroid of AABC, FC = 35, AG = 42, BF = 57, and DG = 14. Find BG.
Answer:
[tex] BG = 38 [/tex]
Step-by-step explanation:
Based on centroid theorem of triangles:
[tex] BG = \frac{2}{3} \times BF [/tex]
[tex] BF = 57 [/tex]
Plug in the value into the equation
[tex] BG = \frac{2}{3} \times 57 [/tex]
[tex] BG = \frac{2 \times 57}{3} [/tex]
[tex] BG = \frac{114}{3} [/tex]
[tex] BG = 38 [/tex]
factor x^3+25 completely
Answer:
Please check the explanation.
Step-by-step explanation:
Given the expression
[tex]\:x^3+25\:[/tex]
Please note that the given expression could not factor further.
But, wait!
Let me take a sample expression and factor that sample expression so that you could get an idea of how to factorize the expression
Given the sample expression
[tex]x^2-5x+6[/tex]
Breaking the expression into groups
[tex]\:x^2-5x+6=\left(x^2-2x\right)+\left(-3x+6\right)[/tex]
Factor out x from x²-2x: x(x-2)
Factor out -3 from -3x+6: -3(x-2)
[tex]=x\left(x-2\right)-3\left(x-2\right)[/tex]
Factor out the common term (x-2)
[tex]=\left(x-2\right)\left(x-3\right)[/tex]
Thus, factorizing the expression such as:
[tex]x^2-5x+6=\left(x-2\right)\left(x-3\right)[/tex]
Question 2
Which of the following is equal to -5/7?
5/7
- 5/7
-5/-7
-(-5/7)
Answer:
-5/7 (irreducible)
Step-by-step explanation:
plzzzzzz help me I need _____CORRECT_____ answers ASAP!!!!!!!!!! Plzzzzzz HURRY.
Answer:
go look at my first question
Step-by-step explanation:
Need Help Solving this please
The value of given function is f'(x)=4 e^sin(x)cos (x)
WHAT IS DERIVATIVE?The derivative is what calculus is all about. The instantaneous pace at which a function changes with regard to one of its variables is known as the derivative. Finding the slope of the tangent line to the function at a given point is equal to doing this.
CALCULATIONf'(x) = d/dx ( 4 e^sin(x))
using differential rule d/dx (a x f ) = a x d/dx(f)
f'(x) = 4 x d/dx ( e ^ sin(x))
use the chain rule
f'(x)= 4 x d/dg ( e^g) x d/dx (sin (x))
f'(x)= 4 e^g x d/dx (sin (x))
f'(x)= 4 e^g x cos (x)
f'(x)=4 e^sin(x) x cos (x)
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Suppose that the local sales tax rate is 5 %
and you purchase a car for $ 27,400
.
a. How much tax is paid?
b. What is the car's total cost?
Answer:
A: Tax paid us $1370
B: Total cost= car cost + taxes
$27,400+ $1370
=$28,770
Step-by-step explanation:
For a scavenger hunt, Jim's mom distributed a bag of 875 jelly beans evenly into 25 plastic containers and hid them around the
yard. If, after the hunt, Jim has a total of 385 jelly beans, then how many of the plastic containers did he find?
OA.
15
ОВ.
275
OC.
11
490
Answer:
C. 11
Step-by-step explanation:
Tim and two of his friends were sharing an apartment and splitting the rent equally. If the rent costs x dollars per month, which expression describes how much Tim’s portion of the rent is?
Answer: (x/3)m
Step-by-step explanation:
Tim has to pay 1/3 of the rent per month
What's 2/3 divided by 5
Solve each system by elimination
11 – 2c = 3d
2c - 7d = -9
Answer:
d=2
c= 5/2
Step-by-step explanation:
What form of a linear equation is y - 6 = -4(x + 2) ?
Answer:
Point slope form
Step-by-step explanation:
Given
[tex]y - 6 = -4(x + 2)[/tex]
Required
Determine the form of linear equation
A linear has just three forms:
1. The slope intercept form.: This is always in form of [tex]y = mx + b[/tex]
2. The point slope form: This is always in form of [tex]y - y_1 = m(x - cx_1([/tex]
2. The standard form: This is always in form of [tex]Ax + Bxx = c[/tex]
By comparison, the three forms with the question, we can see that option B answers the question.