rút gọn (x-4) (x-3) -x(x+5) +82
Answer:
-12x + 94
Step-by-step explanation:
Simplify:
[tex]\left(x-4\right)\left(x-3\right)-x\left(x+5\right)+82[/tex]
[tex]=x^2-7x+12-x\left(x+5\right)+82[/tex]
[tex]=x^2-7x+12-x^2-5x+82[/tex]
[tex]=x^2-x^2-7x-5x+12+82[/tex]
[tex]=-7x-5x+12+82[/tex]
[tex]=-7x-5x+94[/tex]
[tex]=-12x+94[/tex]
There is a total of 36 books on the bookshelf. The number of hardback books is 15 more than twice the number of paperback books. How many hardback books are on the bookshelf?
The number of hardback books that are on the bookshelf is 29 books.
Let the total number of books be T.Let the number of hardback books be H.Let the number of paperback books be P.Given the following data:
Total number of books = 36 booksTo determine the number of hardback books that are on the bookshelf:
Translating the word problem into an algebraic expression, we have;
The total number of books is:
[tex]T = H+P[/tex]
The number of hardback books is 15 more than twice the number of paperback books:
[tex]H =2P+15[/tex]
Substituting the given parameters into the formula, we have;
[tex]36 = 2P+15+P\\\\36=3P+15\\\\3P=36-15\\\\3P=21\\\\P=\frac{21}{3}[/tex]
P = 7 books
For number of hardback books:
[tex]H =2P+15\\\\H=2(7)+15\\\\H=14+15[/tex]
H = 29 books
Read more on word problem here: https://brainly.com/question/24604067
-10 , -6 , -2 , 2 , _____ this sequence in an A.P.? why?
Select all of the following that are ordered pairs of the given function.
ƒ(x) = 3 - 2x
(-2, -1)
(1, 0)
(2, -1)
(0, 3)
(-1, 5)
Answer:
(-2,-1)
Step-by-step explanation:
f(x)=3 - 2x
y = 3 - 2x
if x = - 2
y =3 - 2(-2)
= -1
Required ordered pair is (-2,-1)
Answer:Answer:
(-2,-1) (2,-1) (-1,5)
Step-by-step explanation:
f(x)=3 - 2x
y = 3 - 2x
if x = - 2
y =3 - 2(-2)
= -1
Required ordered pair is (-2,-1)
Step-by-step explanation:
Help me with this
-22*3 +12*2 -6*2 +4+2
[tex]\red{\bf{ {Answer = \: \: - 48}}} [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-22 \times 3} + \underbrace {12 \times 2} - \underbrace {6\times 2} + 4 + 2[/tex]
We carry out the three multiplications.
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-66 \: + \: 24} \: - \: 12 \: + \: \underbrace {4 \: + \: 2}[/tex]
Now we make the ones that are marked.
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-42} \: \: - 12 \: \: + \underbrace {6} \: \: [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-36 \: \: \: - \: \: \: 12}[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf -48[/tex]
Which list below shows a way in which a 13-foot piece of pipe can be cut, to create 3 pieces that will form a triangle?
1 ft, 3 ft, 9 ft
3 ft, 3 ft, 7 ft
2 ft, 3 ft, 8 ft
2 ft, 5 ft, 6 ft
Answer:
2 5 and 6
Step-by-step explanation:
Any 2 sides have to add to more than the 3rd side.
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
y = 5/4x
Step-by-step explanation:
To find the equation of the line, we'll have to find the slope only, since we already know that the equation is proportional and therefore has no y-intercept that we need to worry about.
So, to begin, we'll have to make a slope triangle using two of the points on the line - the points I chose are (0, 0) and (4, 5). Then, I drew a slope triangle - the change in y was 5, and the change in x was 4. To find the slope, we divide the change in y by the change in x, giving us a slope of 5/4. Because of this, our equation must be y = 5/4x.
Hopefully this is helpful! You can refer to the picture I attached if you would like to see how my slope triangle looks. :)
Answer:
Step-by-step explanation:
y = 15
x = 12
The y intercept is zero so the slope is simply
m = y /x
m = 15/12
m = 5/4
The equation is
y = 5/4
2
h(8) = -2(8)^2 + 4(8)- 7
Answer:
h = - 103/8
Step-by-step explanation:
1) Re-order terms so constants are on the left
8h = = -2(8)²+4(8)-7
2) Evaluate the exponent
8h = -2·64+4(8)-7
3) Multiply the numbers
8h = -128+4(8)-7
4) Multiply the numbers
8h = -128+32-7
5) Add the numbers
8h = -103
6) Divide both sides of the equation by the same term
8h/8 = -103/8
7) Simplify
- Cancel terms that are in both the numerator and denominator
h = -103/8
PLZ HELP!!!!!!!!
Function 1 is defined by the equation y=-1/4r-5 Function 2 is defined by line p.shown on the following graph. Which function has a more negative slope?
A. Function 1
B. Function 2
C. The functions have the same slope.
Answer:
Function 1
Step-by-step explanation:
I got it correct on khan academy
The function defined on the graph by the equation y = (-1/4)r -5 and line p has slope which is represented by option C. The functions have same slope.
Let the two coordinate on the line p of the function 2 on the graph.
( x₁ , y₁ ) = (-4, -6)
(x₂ , y₂ ) = ( 4 ,-8 )
Slope of the line = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substitute the value in the formula we get,
Slope of line p = ( -8 + 6 ) / ( 4 + 4 )
= -2/8
= -1/4
Slope of the function 1
y = -(1/4)r -5
When r = 8 ⇒ y = -7
r = -8 ⇒ y = -3
( x₁ , y₁ ) = (8, -7)
(x₂ , y₂ ) = ( -8 ,-3 )
Slope of the function 1 = ( -3 + 7 ) / ( -8 - 8 )
= 4/ -16
= -1/4
Therefore, slope of the both the function 1 and function 2 represented by line p are given by option C. the functions have same slope.
Learn more about slope here
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Read the word problem below.
Chan rows at a rate of eight miles per hour in still water. On Wednesday, it takes him three hours to row upstream from his house to the park. He rows back home, and it takes him two hours. What is the speed of the current?
Answer:
1 3/5 miles/hr
Step-by-step explanation:
Let C be the speed of the current
Let D be the distance between Chan's house and the park
We know that Distance, D, is = Speed x Time
-----
Chan's speed going upstream is (8 - C)mph.
That gives us:
D = (8-C)(3 hr)
Chan's speed going downstream is (8+C)mph
So we have:
D = (8+C)(2 hr)
We know that the d is the same for these two equations, so:
(8-C)(3 hr) = (8+C)(2 hr)
24 - 3C = 16 + 2C
5C = 8
C = (8/5) or 1 3/5 mph
Answer:
1.6 mph
Step-by-step explanation:
Distance, speed, and time are related by ...
distance = speed × time
We assume that the distances up and back are the same, so for a current speed of c, we have ...
3(8 -c) = 2(8 +c)
24 -3c = 16 +2c . . . eliminate parentheses
8 = 5c . . . . . . . . . . add 3c-16 to both sides
c = 8/5 = 1.6 . . . . . divide by 5
The speed of the current is 1.6 miles per hour.
four ninths minus four tenths equals blank ?
Answer:
2/45
Step-by-step explanation:
HELLPPPPPP ASAP PLEASE
Answer:
the answer is A
Step-by-step explanation:
branliest if correct.
Solve.
2.903=y+710
Enter your answer as a decimal in the box.
y =
100 POINTS!! ANSWER ASP THANKS
There can be no more than 835 people in the concert hall. What inequality represents the number of people, p, allowed in the concert hall? Drag and drop the appropriate symbol to correctly complete the inequality. p (Answer) (835
Recap: There can be no more than 835 people in the concert hall. What inequality represents the number of people, p, allowed in the concert hall? Drag and drop the appropriate symbol to correctly complete the inequality. (p [ ] 835
> < ≤ ≥
Answer: P≥835
Answer: Your Answer Is p≥835 i took the quiz
Step-by-step explanation:
PLEASE ANSWER ASAP WORTH 10 PTS
Describe the graph of the line y = -5.
line with slope of -5
horizontal line
crosses the x-axis
vertical line
All you need is on the photo
Please don't answer randomly if you answer randomly you are gonna lose points
Answer:
no since the ratios of the corresponding sides are not proportional
Choose the equations that are not linear equations.
X/2 -y*3 = 1
O - x-y= 2.
x2 + y=4
x= 5
Answer:
#2 and #4
Step-by-step explanation:
Anything with a variable squared is not linear
solve 2y - 18 = -26 for y
Answer:
y=-4
Step-by-step explanation:
2y-18=-26
2y=-26+18
=-8
y=-8÷2
=-4
create an equivalent ratio to 20:24 by dividing both sides by 4
Answer:
5:6
Step-by-step explanation:
20 divided by 4 = 5
24 divided by 4 = 6
So the ratio is 5:6
please help i dont understand
Answer:
[tex] \frac{ {y}^{2} }{4 {x}^{5} } [/tex]
Assuming all other requirements are met, which of the following taxpayers do NOT qualify for the 2021 Earned Income Tax Credit? Ivy, age 22, is single with no dependents. She is not a dependent of another person. She has wages of $6,500 and investment income of $11,150. Eli is married to Lia; he will file using the married filing separately status. Lia moved out of their home on February 14, 2021. His daughter Zoe, who is his qualifying child, lived with Eli all year. Roy, age 19, is single. He is not a student and has wages of $18,500. He lives with his mother Rae. Rae cannot claim him on her tax return. Leo, age 67, is single with no dependents. He has wages of $7,500 and investment income of $9,650.
Based on the information given, the person who doesn't qualify for the income tax credit will be A. Ivy, age 22, is single with no dependents. She is not a dependent of another person. She has wages of $6,500 and an investment income of $11,150.
It should be noted that the earned income tax credit is important as it helps low-income workers get a tax break.
From the options given, Ivy is the taxpayer that does not qualify for the 2021 Earned Income Tax Credit. This is because she's not a dependent of another person.
Learn more about tax credit on:
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PLS ANSWER AS SOON AS POSSIBLE AND I WILL MARK U AS BRAINLIST
Answer:
3
Step-by-step explanation:
Substitute the possible answers.
A tree is broken at a height of 9m from the ground and its top touches the ground at distance of 12m from the base of the tree. Find the original height of the tree.
Answer: i took the test its number 555555
Step-by-step explanation:
PLS HELP WILL MARK YOU BRAINLIEST, NO FAKE ANSWERS!!
Answer:
1. if x + 5 = 12, then x = 7
:Subtraction property of equality
2. If x + y = 20, and y = 5, then x + 5 = 20.
:Substitution property of equality
3. If 2x3 = 11, then 11 = 2x - 3.
:Symmetric property of equality
Find the value of x in the solution of the system y = -4x + 48
Answer:
x = 12
Step-by-step explanation:
y= -4x+48
0=-4x+48
4x=48
x=12
Justin completed 85% of a book when he read the first 170 pages. How many pages are in the book?
Answer:
200 BooksStep-by-step explanation:
Please help me on this it’s due tomorrow:(((
Answer:
Bro
Step-by-step explanation:
sorry
PLEASE HELP QUESTION IN PICTURE
Answer:
-3/2
Step-by-step explanation:
1) find the slope of (-9,-4), and (3,4)
4-(-4)=8, and 3-(-9)=12
the slope is 8/12 or 2/3 when simplified.
the PERPENDICULAR slope is the negative reciprocal of the slope, so
-3/2 is the answer.
PLEASE HELP QUESTION IN PICTURE
D and F are correct
Answer:
B
Step-by-step explanation:
First of all we know b is a parrellogram, so it is b.
But also other reasons:
It can't be A because they are next to each other, in fact supplementary angles. It can't be C because it doesn't make any sense and same thing for E.
Ryan equation for the perimeter