[tex](x+1)^2-(2x+1)^2=\\\\=(x^2+2\cdot x\cdot1+1^2)-((2x)^2+2\cdot2x\cdot1+1^2)=\\\\=(x^2+2x+1)-(4x^2+4x+1)=\\\\=x^2+2x+1-4x^2-4x-1=\\\\=x^2-4x^2+2x-4x+1-1=\boxed{-3x^2-2x}[/tex]
9) A rectangular bookshelf has a length of
of 8 1/3in and width of 4 3/8 in. Calcutate its
area
Answer:225/8 in square
Step-by-step explanation:
No
The width of a rectangle with an area of 72 square inches is 6 inches. What is the perimeter of the rectangle, in inches?
helpppppppppppppppppppppppppppPPPPPPPP
Answer:
All right
6. 7
7. -40
8. -1/6
9. 1
10. 3/5
11. -7
If you have any questions don't hesitate to ask
Answer:
Solve the following equations, and explain its each step.
6. 6x +3= 5x + 10
Solution given:
6x +3= 5x + 10
Subtracting both side by 5x
6x-5x+3=5x-5x+10
x+3=10
subtracting both side by 3
x+3-3=10-3
x=7
7. 6+ 0.10x = 0.15x+8
Subtracting both side by 0.15x
6+0.10x-0.10x=0.15x-0.10x+8
6=0.05x+8
subtracting both side by 8
6-8=0.05x+8-8
-2=0.05x
dividing both side by 0.05
-2/0.05=x
x=-40
8. 5-4x=6+2x
adding 4 on both side
5-4x-4x=6+2x+4x
5=6+6x
subtracting both side by 6
5-6=6-6+6x
-1=6x
dividing both side by 6
-1/6=6x/6
x=-1/6
9. 9-2x=7x
Solution given
adding 2x on both side
9-2x+2x=7x+2x
9=9x
dividing both side by 9
9/9=9x/9
x=1
10. 2(x-4) + 2x = -6x-2
open bracket
2x-8+2x=-6x-2
solve like terms
4x-8=-6x-2
adding 6 on both side
4x+6x-8=-6x+6x-2
10x-8=-2
adding 8 on both side
10x-8+8=-2+8
10x=6
dividing both side by 10
10x/10=6/10
x=3/5
11. ½x-3=3/2 x+4
Subtracting both side by ½x
½x-½x-3=³/2 x-½ x +4
solve like terms
-3=x+4
Subtracting both side by 4
-3-4=x+4-4
x=-7
If p is true and q is false, the p->q is ____
true.
never
always
sometimes
Answer:
never
Step-by-step explanation:
p->q means if p is true, then q must also be true
but since q is false, p->q is never true
Answer: Never
Explanation:
The notation p -> q refers to a conditional statement.
Conditionals are only false when the first part (p) is true while the second part (q) is false. In other words, the template true --> false ultimately leads to a false statement. Otherwise, the entire thing is true.
In our case, we have something that fits the "true -> false" template, so that's why p -> q is never true when p = true and q = false.
The sum of two integers with different signs is 8. Give two possible integers that fit this discretion
Answer:
Step-by-step explanation:
16 - 8 which will give 8. The 16 is plus, the 8 is minus. They do have different signs.
15 - 7 which gives 8. Same explanation.
108 - 100 = 8 Same method.
Simplify (a5b2c5)(ac2). A. a4c10 B. a6b2c10 C. a6b2c7 D. a5b2c7
Answer:
Answer is C.
Step-by-step explanation:
[tex] ( {a}^{5} {b}^{2} {c}^{5} )( {ac}^{2} ) [/tex]
form brackets of common terms:
[tex] = ( {a}^{5} .a)( {b}^{2} )( {c}^{5} . {c}^{2} )[/tex]
from law of indices:
[tex]{ \boxed{ \bf{ {x}^{n} \times {x}^{m} = {x}^{(n + m)} }}}[/tex]
therefore:
[tex] = \{ {a}^{(5 + 1)} \} \{ {b}^{2} \} \{ {c}^{(5 + 2)} \} \\ = {a}^{6} {b}^{2} {c}^{7} [/tex]
3. When six is added to six times a number the result obtained is the same as when the number is added to 10 and
the result multiplied by 3. Form an equation and solve it to find the unknown number.
Answer:
Equation x(6+6)=3(10+x)
x=3.33
Step-by-step explanation:
Form an equation:
x(6+6) The result of 6+6 is multiplied by x, so you would put 6+6 in a bracket (you do what's inside the bracket first in BODMAS) and the x on the outside so you times the result by x.
3(10+x) The number x is added to 10 and the result is multiplied by 3, so the 10+x would go in a bracket with 3 on the outside.
These equal each other, so you would put an equals sign between it to make:
x(6+6)=3(10+x)
Solve to find x:
12x=30+3x You expand the brackets to make this.
9x=30 You would move 3x to the other side by doing the inverse and taking away 3x from 12x.
x=3.33 To get x you would have to do 30 divided by 9 which is 3.33.
Hope this helps :)
The number asked is 8
What is an equation?The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, When six is added to six times a number, the result obtained is the same as when the number is added to 10 and the result multiplied by 3.
Let the number be x,
Establishing, the equation,
6x+6 = 3(x+10)
6(x+1) = 3(x+10)
6/3(x+1) = x+10
2(x+1) = x+10
2x+2 = x+10
x = 8
Hence, the required number is 8.
For more references on equations, click;
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b. The sum of three numbers is 51. The second number is three more than the first number, and the third number is
Two times the value of the first number. What are the three numbers?
Answer:
12, 15, 24
Step-by-step explanation:
Let 1st # = x
Let 2nd # = x+3
Let 3rd # = 2x
Your equation is: x + (x+3) + 2x = 51
Add up all the x: x + x +3 +2x =51
Subtract 3 from both sides: 4x + 3 - 3 = 51 - 3
Divide 4 from both sides: 4x / 4 = 48 / 4
Your 1st number is x = 12
For the 2nd # it is 3 more than x so 12 + 3 = 15
For the 3rd # it is 2 times x so 2(12) = 24
Check your answers by adding up the numbers you solved: 12 + 15 +24 = 51
Does it equal to 51 as stated in the question? Yes, answers check out.
Consider the points (5,0) and (0,3). Plot the points and find the distance between them. Give your answer both in exact form and as a decimal approximation.
Answer:
(5;3)
Step-by-step explanation:
Give your answer both.
The distance between the points (5, 0) and (0, 3) is approximately 5.83095 units.
To find the distance between two points, we can use the distance formula:
Distance = √[tex]((x_2 - x_1)^2 + (y_2 - y_1)^2)[/tex]
Given the points (5, 0) and (0, 3), we have:
[tex]x_1 = 5, y_1 = 0\\\\x_2 = 0, y_2 = 3[/tex]
Substituting these values into the formula:
Distance = √[tex]((0 - 5)^2 + (3 - 0)^2)[/tex]
Distance = √[tex]((-5)^2 + (3)^2)[/tex]
Distance = √(25 + 9)
Distance = √34
The exact distance between the points is √34, which is approximately 5.83095 when rounded to five decimal places.
So, the distance between the points is approximately 5.83095 units.
To know more about distance, refer here:
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What is mZBAC?
60°
(not drawn to scale)
Answer:
<BAC=60°
Step-by-step explanation:
THIS IS THE ANSWER
A square sandbox has an area of 42ft to the power of 2. What is the approximate perimeter of the sandbox to the nearest hundredth?
What is the equation of the line that passes through the point (4, -7) and has a
slope of – } ?
Answer:
Submit Answer
PLS HELP ASAP
Answer:
I think that some information is missing? what is the slope?
If you are trying to say that there is NO SLOPE then the
answer is " x = 4 "
Step-by-step explanation:
Solve for 4 - (x + 2) < -3 ( x + 4 )
( 9th grade Algebra 1)
Work out the AREA OF A REGULAR DECAGON which is inscribed in a circle that has radius of xcm. Give your ans in terms of x
write 3 equivalent rational number of 5/3
Step-by-step explanation:
[tex] \frac{10}{6} \\ \frac{15}{9} \\ \frac{20}{12} [/tex]
I need help with 16-25
One hundred sixteen divided by four plus twenty eight minus thirty three?
Step-by-step explanation:
116/4+28-33
29+28-33
57-33
24
solve (x+1) (x-11) = -36
x = ?
can someone help pls
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
1. Approach
The most logical steps to solve the given equation are to distribute and simplify the left side of the equation. Then use inverse operations to bring all of the terms to the left side of the equation. After doing so, one can factor the equation again, then use the zero-product property to solve it.
2. Simplify
Distribute the terms on the left side, multiply everything in the first parenthesis by everything in the second,
[tex](x+1)(x-11)=-36[/tex]
[tex](x)(x)+(1)(x)+(-11)(x)+(1)(-11)=-36[/tex]
Simplify this expression by performing the multiplication and then combining like terms,
[tex](x)(x)+(1)(x)+(-11)(x)+(1)(-11)=-36[/tex]
[tex]x^2+x-11x-11=-36[/tex]
[tex]x^2-10x-11=-36[/tex]
Inverse operations,
[tex]x^2-10x-11=-36[/tex]
[tex]x^2-10x+25=0[/tex]
3. Factor and solve,
Now that has the simplified version of the equation, one should factor it. Rewrite the quadratic expression as a product of two linear expressions,
[tex]x^2-10x+25=0[/tex]
[tex](x-5)^2=0[/tex]
Use the zero product property to solve this expression. The zero product property states that any number times zero equals zero. Since ([tex](x-5)^2[/tex]) is just ([tex]x-5[/tex]) multiplied by itself, thus, when solving, one can ignore the square part of the equation:
[tex](x-5)^2=0[/tex]
[tex]x-5=0[/tex]
Inverse operations,
[tex]x-5=0[/tex]
[tex]x=5[/tex]
Perform the operation and reduce the answer fully.
3/20 - 9/16
Answer:
-33/80
Step-by-step explanation:
3/20 - 9/16
(4)(3/20) - (9/16)(5)
12/80 - 45/80
= -33/80
Evaluate the expression below for s=2 and t=7
3st²-s²
Please help!! Whoever answers first/correctly ill mark brainliest!!!!
Solve the equation without using the Distributive Property.
8(x-3)= 16
x -3 =
please show an Example because Im lost... lol
f(x) = –2x2 – 2x + 10
Find f(2)
the answer is...............
x= 5/3
Answer:
f(2) = 2
Step-by-step explanation:
given:
[tex]f(x) = -2×2-2x+10[/tex]
find:
[tex]f(2) [/tex]
~~~~~~~~~~~~
➡️ [tex] f(2) = -2×2-2(2)+10[/tex]
➡️ [tex] f(2) = -2×2 = -4[/tex]
➡️ [tex] f(2) = -4-2×2+10[/tex]
➡️ [tex] f(2) = -4-4+10 [/tex]
➡️ [tex] f(2) = -8 +10 [/tex]
➡️ [tex] f(2) = 2 [/tex]
Three friends were at a festival together and they won 20 small prizes. They decided to split the prizes as evenly as possible. How many prizes will they each get?
Answer:
they would each get 6 and there would be 2 left over
Step-by-step explanation:
3x6=18
20-18=2
=2 leftovers
Answer:
Each of the friends will get 6 with 2 small prizes remaing
Step-by-step explanation:
20 ÷ 6 = 18 remainder of 2
Ignore the 2 because you cannot split 2 evenly from 3 people.
So each friend gets 6, while there is a 2 remainder
To check our work just do 6 × 3 = 18 and 20 - 18 = 2
So, in conclusion, each friend get 6 while there are 2 small prizes left
If y is directly proportional to x and y = 20 when
x = 5,
(i) find an equation connecting x and y,
Answer:
Step-by-step explanation:
y = kx
y = 20
x = 4
20 = k*4 Divide by 4
20/4 = k
k = 5
The equation is y = 5x
2(x+1) = -8x +8(x-2)
x=?
4(7+2x)=-2(x+4)+4x
x=?
Hi ;-)
Equation 1°
[tex]2(x+1)=-8x+8(x-2)\\\\2x+2=-8x+8x-16\\\\2x+8x-8x=-16-2\\\\2x=-18 \ \ /:2\\\\\huge\boxed{x=-9}[/tex]
Equation 2°
[tex]4(7+2x)=-2(x+4)+4x\\\\28+8x=-2x-8+4x\\\\8x+2x-4x=-8-28\\\\6x=-36 \ \ /:6\\\\\huge\boxed{x=-6}[/tex]
an 8 yard of roll of strung costs 3.12 what is the unit price
Answer:
2.56
Step-by-step explanation:
unit price = 8/3.12
= 2.56
Simplify 2 root 3 multiply 3 root 6
Answer:
18√2
Step-by-step explanation:
2√3 x 3√6
2 x 3 x (√6 x √3)
=> 6√18
=> 6√(3x3x2)
=> 6 x 3√2
=> 18√2
9. A doctor charges each patient $75 per consultation. If she works for 6 hours during one day and sees an average of six patients per hour, what was her profit that day? (Her costs per day are $200 for insurance, $200 for leasing the building and $50 for paying the reception desk).
Answer:
She makes $2,250/day
Step-by-step explanation:
$75 x 6 = $450 (amount of patients seen)
$450 x 6 = $2,700 (amount of hours she works)
$2,700 - $450 = $2,250 (the cost of the building, reception desk, & insurance)
We are given that the doctor charges $75 for each patient
In each she sees an average of 6 patients so,
Charge each hr = $75(6) = $450
For each hr she receives $450
So, for 6 hrs she receives = $450(6) = $2700
She pays for all the stuff = $200 + $200 + $50 = $450
Profit = Selling Price - Cost Price
Profit = $2700 - $450
Profit = $2250
Hence, she earns a profit of $2250 that dayGiving brainliest, show yo work!
Answer:
done the first 3
Step-by-step explanation:
5×-3=-15
2×4=8
3×-5=-15
(-15+8)²+-15
(-7)²+-15
-49-15
=-74
(2×-3×-6)²-5(4)
(36)²-20
1296-20
=1276
(-3×4×-5)+3(4)³
60+192
=252
Answers;
1. {(5x + 2y)}^{2} + 3z \\ {(5( - 3) + 2(4))}^{2} + 3( - 5) \\ {( - 15 + 8)}^{2} - 15 \\ {( - 7)}^{2} - 15 \\ 49 - 15 \\ 34 \\ \\ 2. \: 2 {(xz)}^{2} - 5y \\ 2 ({( - 3)( - 5)})^{2} - 5(4) \\ 2 {(15)}^{2} - 20 \\ 2(225) - 20 \\ 450 - 20 \\ 430
a factory makes a profit of RS.1000000 per month. At the end of the year, it distributes 10% of it's profit as a bonus among it's 50 share holders with equal number of shares. Find the bonus received by each share.
Step-by-step explanation:
the bonus received by each share is 24,000