1.1 Pull out like factors :
-2x + 2 = -2 • (x - 1)
2.1 Solve : -2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
2.2 Solve : x-1 = 0
Add 1 to both sides of the equation :
x = 1
x = 1
Answer:
[tex]3x + 7 \leqslant 5x - 9 \\ 5x - 3x \leqslant 7 + 9 \\ 2x \leqslant 16 \\ x \leqslant \frac{16}{2} \\ \boxed{x \leqslant 8}[/tex]
Find the dimensions of a rectangle whose perimeter is 30 meters and whose area is 56 square meters.
Answer: 8 and 7
Step-by-step explanation:
8 multiplied by 7 equals 56
8+8+7+7 equals 30 which is the perimeter
:)
The dimensions of the rectangle whose perimeter is 30 meters and whose area is 56 square meters are 7 meters and 8 meters.
What do we mean by the area of a surface?The area of a surface is the total space occupied by the two-dimensional cross-section.
What do we mean by the perimeter of an object?The perimeter of an object is the total length of its boundary.
How do we solve the given question?We are asked to find the dimensions of a rectangle whose perimeter is 30 meters and whose area is 56 square meters.
Let the length and breadth of the rectangle be l meters and b meters respectively.
We know that,
Perimeter of a rectangle = 2(length + breadth) = 2(l + b)
∴ 30 = 2(l + b)
or, 2(l + b) = 30
or, l + b = 15
or, b = 15 - l ...(i)
We know that,
Area of a rectangle = length*breadth = l*b
∴ 56 = l*b
or, l*b = 56
Substituting the value of b = 15 - l from (i) in the above equation, we get:
l(15 - l) = 56
or, 15l - l² = 56
or, l² - 15l + 56 = 0
or, l² - 8l - 7l + 56 = 0
or, l(l - 8) -7(l - 8) = 0
or, (l - 7)(l - 8) = 0
By zero-product law,
Either l - 7 = 0 ⇒ l = 7
Or, l - 8 = 0 ⇒ l = 8.
Substituting these values of l in (i),
b = 15 - l
∴ Either, b = 15 - 7 = 8
Or, b = 15 - 8 = 7.
In both cases, the dimensions of the rectangle are 7, and 8.
∴ The dimensions of the rectangle whose perimeter is 30 meters and whose area is 56 square meters are 7 meters and 8 meters.
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Someone please help me
Answer: Pretty sure it's A
Step-by-step explanation: If you find the square root of 282 you get 16.7
Answer:
It is A
Step-by-step explanation:
It is A because you need to take the square roots of every number the square root of 282 is 16.7985562
Which of the following sets are infinite sets? (Brainliest - please explain how you got the answer)
Answer:
A and DStep-by-step explanation:
A. This is infinite set as there are infinite number of multiples of 50775. YesB. Number of subsets is infinite but a set is a finite. NoC. This set is finite as the number of animals is restricted. NoD. This set is infinite as includes numbers > 119671. YesE. This is a finite set as restricted to 262597. NoSubtract 5x−2 from −3x+4 .
2x + 2
−8x+6
8x−6
−8x+2
Answer: -8x +6
Step-by-step explanation:
- 3x +4 - (5x -2)
-3x +4 - 5x + 2
-8x + 6
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I provide detailed explanations for math questions for as little as $1!
Answer:
-8x-6
Step-by-step explanation:
If i= -1, what is the value of i3?
O-1
Ο i
O 1
O -i
Answer:
I dont think this question is formated correctly. i does not equal to -1. However, If you are wondering about i^-3. it is -i. Otherwords it is D. Hope this helped.
Help help please need homework
Answer:
√36<√26>√25
Step-by-step explanation:
please mark me as brainlest
What is the volume of the figure?
Answer: 1134 inches cubed
HELP ASAP (MAX PTS) ILL GIVE BRAINLIEST
Domain is the x values and range is the y values.
Domain: (-5,-4, 0,1,3,4)
Range: ( 0,1,2,3,5)
Help me with this please
Answer:
volume of a rectangular prism (v) = 64 cm³
Length (l) = 8 cm
width (w) = 4 cm
height (h) = ?
volume of a rectangular prism = Length × width × height
[tex]v = lwh \\ \\ h = \frac{v}{lw} \\ \\ h = \frac{64 \: {cm}^{3} }{8 \: cm \times 4 \: cm} = \frac{64 \: {cm}^{3} }{32 \: {cm}^{2} } \\ \\ \\ h = 2 \: cm[/tex]
I hope I helped you^_^
Hi everyone, stay safe, I need help on this, it’s about Triangles.
Answer:
Right scalene triangle
Acute equilateral triangle
Step-by-step explanation:
For the first triangle, we will use the Converse of the Pythagorean Theorem:
If c² < a² + b², then it means that it is an acute triangle.
If c² = a² + b², then it means that it is a right triangle.
If c² > a² + b², then it means that it is an obtuse triangle.
For the first triangle, let c = 25 yd, a = 7 yd, and b = 24 yd
c² = a² + b²
25² = 7² + 24²
625 = 49 + 576
625 = 625 (True statement).
Therefore, the first triangle is a right triangle. At the same time, each angle have different measures, making it a scalene triangle. Therefore, the first triangle is an example of a right scalene triangle.
For the second triangle, since all sides are equal, it doesn't matter which side we label as a, b, or c.
Let's see which type of triangle it is according to its sides:
c² = a² + b²
32² = 32² + 32²
1024 < 2048
Therefore, it is an acute triangle. At the same, the second triangle has equal sides, making it an equilateral triangle. Therefore, the second triangle is an example of an acute equilateral triangle.
Please mark my answers as the Brainliest if you find this helpful :)
Rlly important, is this the correct length?
Answer: yes
Step-by-step explanation: 14*12*5=840
the formula for volume is Lenght*widht*height
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 550 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.02 cents per square centimeter. The top will be made of glued paper, costing 0.06 cents per square centimeter. Find the dimensions for the package that will minimize production cost.
Radius?
Height?
Minimum cost?
Answer:
Step-by-step explanation:556
Amy and Samiha have a hat that contains two playing cards, one ace and one king. They are playing a game where they randomly pick a card out of the hat four times, with replacement. Amy thinks that the probability of getting exactly two aces in four picks is equal to the probability of not getting exactly two aces in four picks. Samiha disagrees. She thinks that the probability of not getting exactly two aces is greater. The sample space of possible outcomes is listed below. A represents an ace, and K represents a king.
Required:
Who is correct, Amy or Samiha?
Answer:
Amy
Step-by-step explanation:
A man placed $10,600 in a fixed deposit for 8 years at 6% per annum.
a) Calculate the total amount received at the end of the period under simple interest.
b) Determine the total amount received at the end of the period under compound interest.
c) State the difference in the interest received
Answer:
and hello
okkkkkkkkkkkkkkkkkkkkkkkkkkk
Which of the following statements best describes the solution to the problem below? -3/6 x (-3/8)
Answer:
Step-by-step explanation:
The answer is c the solution will be positive because there are two negative signs
Jenna bought a package of 12 drumsticks. The package weighed 1.572 Kg. What is the average weight of each drumstick?
Answer:
0.131kg is the average.
Step-by-step explanation:
Divide 1.572 (total weight) by 12 (amount of sticks)
Please can someone help much appreciated .
Answer:
23/6
Step-by-step explanation:
23
6
Can you help me anyone
Answer:
uh ew what is your pfp also its C
A box contains 5 red marbles, 6 white marbles, and 8 blue. If a Marble is randomly selected from the box, what is the likely hood that it is white? Express it in a fraction.
angle W and angle Y are supplementary. If
the measure of angle W = 5x + 20 and the measure of angle Y = 4x - 11, find the measure of angle W
and Y
Answer: angle of w is 115 degrees and angle of y is 65 degrees.
Step-by-step explanation: in the picture.
Answer:
Angle W = 115° Angle Y = 65°angle W and angle y are supplementary
that is angle W + angle Y = 180°
angle w = 5x + 20
angle y = 4x - 11
putting this value in above equation
we get
5x + 20 + 4x - 11 = 180
5x + 4x + 20 - 11 = 180.
9x + 9 = 180
9x = 180 - 9
9x = 171
x = 19
angle W= 5x + 20
= 5(19)+ 20
= 95 + 20
= 115°
angle y = 4x - 11
= 4(19) - 11
= 76 - 11
= 65
The factory needs to stamp 4,320 parts. How many minutes will it take all 4 stamping machines to stamp 4,320 parts.
A. 10 minutes
B. 15 minutes
C. 45 minutes
D. 60 minutes
Answer: 15 minutes
Step-by-step explanation:
4 stamping machines in factory
1 stamping machine = 24 parts every 20 seconds
4 stamping machines = 96 every 20 seconds
4 stamping machine = 288 stamps per minute
4320 stamps divided by 288 cuts = 15 minutes
Find the Lowest Common Multiple (LCM) of 55 and 77.
Answer:
→ 55 = 5 × 11→ 77 = 7 × 11Now, the Lowest Common Multiple (LCM) of 55 & 77 is :
5 × 7 × 11 = 385385 is the right answer.(W^2/x -3) / 10 •z when w=-6,x=1.2, and z = -6 /7
Answer:
21=121-2=11
Step-by-step explanation:
do step by step.
Please help ASAP
I really have no clue what I’m supposed to do so please help me!!
Answer:
below
Step-by-step explanation:
Each column represent the number of packages of pencils and the total number of pencils you would have.
So column 1 says 1/2 package of pencils and there are 24 pencils in that package so you have 12 pencils total not 24 like it says.
Column 2 says 1 package of pencils. Since there are 24 pencils in a package, now you would have 24 pencils total.
Column 3 says 3 packages. 3 x 24 = 72 pencils total
Column 4 says 4 packages. 4 x 24 = 96 pencils total
Colum 5 says 6 1/2 packages. 6 x 24 = 144 and you know 1/2 of a package equals 12. So 144 + 12 = 156 total pencils.
Elliott states that he absolute value and opposite of a number are the same thing. Is Elliott correct? Explain.
Answer:
Elliot is incorrect
Step-by-step explanation:
Let's take an example: 2
Absolute value of 2 = |2| = 2
But the opposite of 2 = -(2) = -2
But 2 ≠ 2, so Elliott is incorrect.
The opposite of a number changes the sign from - to +, or + to -. Absolute value changes the sign of a number from - to + and keeps + as +.
-Chetan K
Answer:
No
Step-by-step explanation:
The absolute value of a number is the distance from 0. Distance is always positive, so the absolute value of a number is that number but positive. Thus, the absolute value of |2| is still 2. However, the opposite of a number is that number on the opposite side of 0. Therefore, the opposite of 2 is -2. To find the opposite of a number just flip the sign.
So, these are different because the absolute value is always positive while the opposite can be either sign.
can somebody help me solve this question. I have no idea ;(
Answer:
sorry need ko po ng points
What percent of 362.5 is 145?
Answer:
40%
Step-by-step explanation:
362.5 = 100% (1).
x = 40% (2).
(362.5%)/(x%) = 100/40
x%/362.5% = 40/100
x = 145
Hope this helps.
HELP ME!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1x a other b
Step-by-step explanation:
simple
The equivalent expression is 7x - 2(1.3x + 3.5) = 5.4x - 7 and non-equivalent expression is 8 - 4(-2.2x + 1.1) = 8.8x + 12.4 .
What are linear expression ?A linear expression only has one or two variables. No variables in a linear expression is raised to power greater than 1 or used as denominator of a fraction.
Now the given expressions are,
7x - 2(1.3x + 3.5) = 5.4x - 7 ....(i)
and,
8 - 4(-2.2x + 1.1) = 8.8x + 12.4 .....(ii)
Taking equation (i)
7x - 2(1.3x + 3.5) = 5.4x - 7
So, LHS = 7x - 2(1.3x + 3.5)
⇒ LHS = 7x - 2.6x + 7
or, LHS = 5.4x + 7
⇒ LHS = RHS
So these expressions are equivalent.
Taking equation (ii),
8 - 4(-2.2x + 1.1) = 8.8x + 12.4
So, LHS = 8 - 4(-2.2x + 1.1)
⇒ LHS = 8 - 8.8x - 4.4
⇒ LHS = -0.8x - 4.4
⇒ LHS ≠ RHS
So these expressions are not equivalent.
Thus, the equivalent expression is 7x - 2(1.3x + 3.5) = 5.4x - 7 and non-equivalent expression is 8 - 4(-2.2x + 1.1) = 8.8x + 12.4.
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Hi, What is the area of this please?
Answer: 270 inches squared
Check (24, 144, 145) is a Pythagorean triplet
Answer:
Step-by-step explanation:
The given triplets are (16,63,65) . Let us assume 16 as the smallest even number, then it should be equivalent to 2m . From the above result we can say that triples (16,63,65) is a Pythagorean triplet. The given triplets are (24,144,145)