Answer:
+ 80
Step-by-step explanation:
Given
(2 - x)(5 - 3x)(1 - 7x) ← expand the first two factors using FOIL
= (10 - 11x + 3x²)(1 - 7x)
Each term in the second factor is multiplied by each term in the first factor
= 10(1 - 7x) - 11x(1 - 7x) + 3x²(1 - 7x) ← distribute the 3 parenthesis
= 10 - 70x - 11x + 77x² + 3x² - 21x³ ← collect like terms
= - 21x³ + 80x² - 81x + 10
The coefficient of the x² term is + 80
20 POINTS!!! PLS COME AND LOOK!!! I NEED YOU GENIUSES!!! I WILL GIVE BRAINLIEST!!!!! AT LEAST COME AND LOOK!!!! WILL FOREVER BE GREAT FULL!!! EASY I JUST STRUGGLE!! 2 QUESTIONS!!
9. Which compound inequality represents the inequality 3|y + 7| − 16 > 5?
y + 7 < −7 OR y + 7 > 7
y + 7 > −7 AND y + 7 < 7
y + 7 < −7 AND y + 7 > 7
y + 7 > −7 OR y + 7 < 7
10. Sanju wants to sell his artwork at a local fair. He has created 10 pieces of artwork and has spent $44 in creating them. He wants to make a profit of $300 at the fair. What is the price he needs to sell each piece to make that profit?
$344.00
$34.40
$24.67
$68.80
Answer:
9) y>0 or y<−14 10) Each artwork sold for $34.4
Step-by-step explanation:
#9 is fairly easy, just plug in a calc and pull out ans.
#10 so he needs to make $300 + $44 in total to recover everything as he wants $300 more in profit. set up the equation:
$300 (Profit) + $44 (Initial) = 10 ( # of paintings) x (how much to be sold for
Solve the equation for y. Then find the value of y for each value of x.
y + 6x = 11; x= -2,0,4
Solve the equation for y.
Answer: for x=-2
y+6(-2)=11
y+(-12)=11
y=11+12
y=23
for x=0
y+(6*0)=11
y=11
for x=4
y+6(4)=11
y+24=11
y=11-24
y= -13
Step)-by-step explanation:
you just remplace x with his value and solve y
please help me........
Answer: see proof below
Step-by-step explanation:
Use the Sum/Difference Identity: tan (A + B) = (tanA + tanB)/(*1 - tanA · tanB)
Scratchwork:
tan (50) = tan (40 + 10)
[tex]= \dfrac{\tan 40+\tan 10}{1-\tan 40\cdot \tan 10}[/tex]
tan 50 (1 - tan 40 · tan 10) = tan 40 + tan 10
tan 50 - tan 50 · tan 40 · tan 10 = tan 40 + tan 10
tan 50 = tan 40 + tan 10 + tan 50 · tan 40 · tan 10
Use the Reciprocal Identity: cot A = 1/ tan --> cot A · tan A = 1
Proof LHS → RHS
LHS: tan 50 - tan 40
Substitute tan 50: tan 40 + tan 10 + (tan 50 · tan 40) · tan 10 - tan 40
Simplify: tan 10 + (tan 50 · tan 40) · tan 10
Reciprocal Identity: tan 10 + tan 10
Simplify: 2 tan 10
LHS = RHS: 2 tan 10 = 2 tan 10 [tex]\checkmark[/tex]
help me solve for the variable
-12r + 4 = 100
r=
Answer:
-8
Step-by-step explanation:
-12r+4=100
100-4=96
-12r=96
96/-12=-8
Write the following exponents in expanded form a) 5² b) 6⁸ c) 9⁵
Answer:
a- 5 x 5
b- 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6
c- 9 x 9 x 9 x 9 x 9
Step-by-step explanation:
the index represents how many times the number is to be multiplied.
5² = 5 x 5 = 25
6⁸ = 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6 = 1679616
9⁵ = 9 x 9 x 9 x 9 x 9 = 59049
（＾▽＾）
How many $10$-digit numbers are there, such that the sum of the digits is divisible by $2$?
Complete question is;
How many 10 - digit numbers are there, such that the sum of the digits is divisible by 2?
Answer:
There are 4500000000 ten digit numbers whose sum is divisible by 2.
Step-by-step explanation:
Since we are dealing with 10 digit numbers, the first 10 digit number whose sum is divisible by 2 is; 1000000001.
While the last 10 digit number whose sum is divisible by 2 is 9999999999.
Now,to find how many 10 digit numbers whose sum are divisible by 2, we will simply divide the difference of both numbers by 2 and then add 1 to the answer. This is because subtracting the minimum from the maximum gives us the number of 10 digit numbers we have. Then dividing by 2 gives the number of ten digit numbers with sum divisible by 2 in between. Then adding 1 to the result to cover the number not included gives;
((9999999999 - 1000000001)/2) + 1 = 4500000000
find the product of (a+b) and(a power 2 -ab +b power 2)
[tex]\circ\tt\:(a+b)(a^2-ab+b^2)[/tex]
[tex]\circ\tt\:a(a^2-ab+b^2)+b(a^2-ab+b^2)[/tex]
[tex]\circ\tt\:(a^3-a^2b+ab^2)+(a^2b-ab^2+b^3)[/tex]
[tex]\circ\tt\:a^3+(a^2b-a^2b)+(ab^2-ab^2)+b^3[/tex]
[tex]\circ\tt\:a^3+0+0+b^3[/tex]
[tex]\bigstar\:\boxed{\bf{\pink{a^3+b^3} }}[/tex]
What is an equation of a line that passes through the point of (-8 2) and (-4,-3)
Answer:
y = -5/4x -8Step-by-step explanation:
[tex](-8,2)=(x_1 ,y_1)\\(-4 ,-3) = (x_2 ,y_2)\\\\\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}\\ \\\frac{y-2}{x-(-8)}= \frac{-3-2}{-4-(-8)}\\ \\\frac{y-2}{x+8}= \frac{-5}{-4+8} \\ \\\\\frac{y-2}{x+8} = \frac{-5}{4}\\ \\Cross\:Multiply \\4(y-2) = -5(x+8)\\\\4y-8 =- 5x-40\\\\4y = -5x-40+8\\\\4y =- 5x-32\\\\\frac{4y}{4} = \frac{-5x}{4} + \frac{-32}{4} \\\\y = -\frac{5}{4}x-8[/tex]
3/5x = 1/2x+1/2
please tell me this asap
Answer:
x = 5
Step-by-step explanation:
3/5x = 1/2x + 1/2
collect like terms =
3/5x - 1/2x = 1/2
6x - 5x/10 =
x/10 = 1/2
2x = 10
x = 5
PLS ANSWER ASAP!!! Which quadratic equation is equivalent to (x – 4)2 – (x – 4) – 6 = 0? A.(u – 4)2 – (u – 4) – 6 = 0 where u = (x – 4) B, u2 – (u – 4) – 6 = 0 where u = (x – 4) C. u2 – 16 – u – 6 = 0 where u = (x – 4) D. u2 – u – 6 = 0 where u = (x – 4)
Answer:
D.) u^2 - u-6 = 0 where u = (x-4)
Step-by-step explanation:
Answer: D
Step-by-step explanation:
edge 23
Which statements about geometric sequences are true?
There is more than one correct answer. Select all that apply.
Geometric sequences have a common ratio between terms.
Geometric sequences are restricted to the domain of natural numbers.
Geometric sequences can have a first term of 0.
Geometric sequences have a common difference between terms.
Geometric sequences only increase, never decrease.
Answer:
Step-by-step explanation:
Geometric sequences have a common ratio between terms. TRUE
Geometric sequences are restricted to the domain of natural numbers. FALSE
Geometric sequences can have a first term of 0. FALSE. If this were true, then every member the sequence would also be 0.
The correct statements are,
Geometric sequences have a common ratio between terms.
Geometric sequences :A geometric series is one which has a constant ratio between successive terms.
A geometric series is the sum of the terms of a geometric sequence.Geometric sequences may be increase or decrease.Geometric sequences can not have a first term of 0, if the first term is zero, it will not result in a Geometric Progression.Learn more about the Geometric sequences here:
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A family is comparing different car seats. One car seat is designed for a child up to and including 26 lb. Another car seat is designed for a child between 18 lb and 40 lb. A third car seat is designed for a child between 25 lb and 75 lb, inclusive. Model those ranges with compound inequalities. Which car seats are appropriate for a 33-lb child? The inequality for a child up to and including 26 lb is ________.
Answer:
the 25 -75 because the baby is closer to 25 but still has plenty of room
The car seat appropriate for a child 33-lb will be shown by the inequality 25 < Child seat < 75. The inequality for a child up to and including 26 lb will be written as Child ≤ 26.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
Given that a family is comparing different car seats. One car seat is designed for a child up to and including 26 lb. Another car seat is designed for a child between 18 lb and 40 lb. A third car seat is designed for a child between 25 lb and 75 lb.
A car seat appropriate for a 33-lb child will come under the seat which is designed for a child between 25 lb to 75 lb.
The inequality for a child up to and including 26 lb will come under a car seat is designed for a child up to and including 26 lb. The inequality can be written as Child ≤ 26.
Therefore, the car seat appropriate for a child 33-lb will be shown by the inequality 25 < Child seat < 75.
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the 4th tetm of a G.P. is 54 and the 6th term is 24. Is 64/9 a term of the G.p.?
Answer:
d
Step-by-step explanation:
Here is a pic
Hope this helps
Find the perimeter and area of the figure.
10 ft
3 ft
The perimeter of the figure is
feet.
47
The area of the figure is
square feet.
HELP ME PLEASE
Answer: the perimeter is 26 feet squared. the area is 30 feet
perimeter is all sides added together:
10+10+3+3= 26
area is base times length
10×3=30
dont forget units
8 times of the eight term of an arithmetic progression is equal to 12 times of the twelfth term. find its first term if the common difference is -2 .
Answer:
a₁ = 38
Step-by-step explanation:
Given AP, where:
8a₈ = 12a₁₂d = -2,a₁ = ?=============
Solutionaₙ = a₁ + (n-1)d
a₈ = a₁ + 7d = a₁ + 7*(-2) = a₁ - 14a₁₂ = a₁ + 11d = a₁ + 11*(-2) = a₁ - 228a₈ = 12a₁₂
8(a₁ - 14) = 12(a₁ - 22)2(a₁ - 14) = 3(a₁ - 22)2a₁ - 28 = 3a₁ - 663a₁ - 2a₁ = -28 + 66a₁ = 38Carmen draws this area model to help her divide 1,800 by 9. She says the quotient is 20. Does Carmen's model make sense? Use the drop-down menus to explain.
Answer:
No shes wrong
Step-by-step explanation:
IF you divide 1800 divided by 9 you will get 200 not 20 so she is wrong.
the midpoint of ab is M (-6,1 ). if the coordinates of A are (-7,-3 ),what are the coordinates of B
Answer:
B(-5,5).
Step-by-step explanation:
It is given that midpoint of AB is M (-6,1).
Coordinates of A are (-7,-3 ).
We need to find the coordinates of point B.
Let coordinates of point B are (a,b).
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Midpoint of AB is
[tex]Midpoint=\left(\dfrac{-7+a}{2},\dfrac{-3+b}{2}\right)[/tex]
[tex](-6,1)=\left(\dfrac{-7+a}{2},\dfrac{-3+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{-7+a}{2}=-6[/tex]
[tex]-7+a=-12[/tex]
[tex]a=-12+7[/tex]
[tex]a=-5[/tex]
[tex]\dfrac{-3+b}{2}=1[/tex]
[tex]-3+b=2[/tex]
[tex]b=2+3[/tex]
[tex]b=5[/tex]
Therefore, the coordinates of B are (-5,5).
Given 2^m + 2^m = 2^n, express m in terms of n.
Answer:
m = n-1
Step-by-step explanation:
2^m + 2^m = 2^n
Add on the left
2( 2^m) = 2 ^ n
2^1 ( 2^m) = 2^n
We know that a^b* a^c = a^ (b+c)
2^(1+m) = 2^n
The bases are the same so the exponents are the same
1+m = n
Solving for m
1+m-1 = n-1
m = n-1
Given :
2^m + 2^m = 2ⁿ
→ 2(2^m) = 2ⁿ
→ 2¹ × 2^m = 2ⁿ
→ 2^(1 + m) = 2ⁿ
As bases are equal, exponents are equal too.
→ 1 + m = n
→ m = n - 1
→ m = n - 1 (Answer)8 times 10 to the power of 5 is how many as great as 8 times 10 to the power of -1
Answer:
6 times as great
Step-by-step explanation:
8*10 to the power of 5
8*10 to the power of -1
Answer:
10^6
Step-by-step explanation:
● 8×10^5
● 8 × 10^(-1)
Divide the the first number by the second one
● 8×10^5/ 8×10^(-1) = 10^(5-(-1)) = 10^6
So 8×10^5 is greater 10^6 times than 8×10^(-1)
A certain number is both a perfect square root and a perfect cube will its cube root and square root always be different numbers
Answer:
The exception is 1
Step-by-step explanation:
The cube root of 1 is 1, and the square root of 1 is also 1..
hence, 1 has cube root equal to square root
Find the Slope of the line through ( -4, 2 ) and (5, 8 )
Answer:
2/3
Step-by-step explanation:
Y2-Y1/X2-X1
8-2/5-(-4)
6/5+4
6/9
Slope: 2/3
answer: 2/3
step by step:
slope(m)=[tex]y2-y1/x2-x1[/tex]
=8-2/5+4
= 6/9
=2/3
1. A grocery store just received a shipment of 200 dozen eggs. If 12 eggs = 1 dozen, how many eggs did
the store receive?
Answer:
they received 2400 eggs.
Step-by-step explanation:
12 * 200 = 2400
The number of eggs did the store receive is 2400 eggs.
To find number of eggs.
What is arithmetic?science that deals with the addition, subtraction, multiplication, and division of numbers and properties and manipulation of numbers. An example of arithmetic is adding two and two together to make four.
Given that:
A dozen (commonly abbreviated doz or dz) is a grouping of twelve.
1 dozen= 12 eggs
1/2 dozen=6 eggs
So upon calculate the 200 dozen of egg, to multiply with 1 dozen of eggs,
200 dozen= 200*12=2400 eggs
So, the number of eggs did the store receive is 2400 eggs.
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Jack bought 4 bagels for $3.00. How many bagels can he buy for $4.50?
Answer:
6 baglesStep-by-step explanation:
$3.00 - 4 bagles
÷2 ÷2
$1.50 - 2 bagles
×3 ×3
$4.5 - 6 bagles
A jar holdsFraction 3 over 4 gallon of juice when it is Fraction 7 over 8 full. Which statement best describes the quotient of 3 over 4division sign 7 over 8? The maximum amount of juice the jar can hold is Fraction 7 over 6 gallons. The maximum amount of juice the jar can hold is Fraction 6 over 7 gallon. The amount of juice that can be still poured in the jar is Fraction 7 over 6 gallons. The amount of juice that can be still poured in the jar is Fraction 6 over 7 gallon.
Answer: 3/4 / 7/8
Step-by-step explanation:
= 3/4 * 8/7 = 24/28 = 6/7 gallons
This is the volume of juice when the jar is full.
Answer:
6/7
Step-by-step explanation:
uhm, yeah im not very good at math, i need to graduate man, someone help lol
Answer:
d=√73=8.544
Step-by-step explanation:
Find distance (d) between market (0,8) , court house(6,5) and library(6,-1)
d between two pint is :
d=√(x2-x1)²-(y2-y1)²
d between market and court house:
d=√(6-0)²+(5-8)²
d=√36+9=√45 = 6.7082 ≅6.71 rounded to the nearest hundredths
d between courthouse and the library:
d=√(6-6)²+(-1-5)²
d=√36=6
the distance that Runner A ran=6.71+6=12.71
the distance from the library to the school:
d=√(6-(-2))²+(-1-(-4))²
d=√8²+3²
d=√64+9
d=√73=8.544 ( rounded to the nearest hundredth)
Runner B went 8.544 further than Runner A before stopping at school ( which is the distance between the library and the school.
Can someone please help me?
Answer:
The next number is 1 and the pattern is divide by 4.
Step-by-step explanation:
256÷4=64
64÷4=16
16÷4=4
4÷4=1
What 2 consecutive whole numbers does v3 fall between?
Answer:
1 and 2
Step-by-step explanation:
√3 is ≈ 1.7
This is between 1 and 2
Determine the product if the exspressian . It must be in simplified form. 4/5 times 1/2
Answer:
2/5
Step-by-step explanation:
cross simplify the 4 and 2
the equation becomes:
2/5 • 1/1 = 2/5
Answer:
2/5
Step-by-step explanation:
you just cross multyply so 4x1 is 4 and 5x2 is 10 and you get 4/10 and then you simplify it by 2 and that will get you 2/5
The width of a rectangle measures (3.1s-1.6)(3.1s−1.6) centimeters, and its length measures (7.2s-4.6)(7.2s−4.6) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle? A. −6.2+10.3s B. −12.4+20.6s C. 1.5s+2.6 D. 5.2+3s
Answer:
B) -12.4 + 20.6s
Step-by-step explanation:
width = (3.1s - 1.6) cm
Length = (7.2s - 4.6) cm
Perimeter of rectangle = 2* (length +width)
= 2 *(7.2s - 4.6 + 3.1s - 1.6) {add like terms}
= 2* (7.2s + 3.1s - 4.6 - 1.6)
= 2*( 10.3s - 6.2) {distributive property}
= 2*10.3s - 2*6.2
= 20.6s - 12.4
Which statement comparing |−12| and |8| is true?
Answer:
[tex]\huge\boxed{|-12|\ is\ greater\ than\ |8|}[/tex]
Step-by-step explanation:
|-12| = 12
|8| = 8
So, the statement is :
|-12| is greater than |8|