Answers
Answer:
1. Never true
2. Never true
3. Bad question! Typo? (see discussion below)
4. Always true
5. Always false
Step-by-step explanation:
1. x - 13 = x + 1. Subtract x from both sides of the equation, and you get -13 = 1. False! (Never true!)
2. x + 1/2 = x - 1/2. Subtract x from both sides: 1/2 = - 1/2. False! (Never true!)
3. This one's weird, with two equal signs. That's not unusual; multiple equal signs are often used when a chain of equalities is being displayed. For instance, you can write (3)(2x + 5) = (3)(2x) + (3)(5) = 6x + 15. That's an example of the Distributive Property--the 3 is multiplied by both of the terms inside parentheses (shown after the first equal sign), then actually doing those multiplications produces the expression after the second equal sign.
OK! This question says 2(x + 3) = 5x = 6 - 3x. Take it in two parts.
a. 2(x + 3) = 5x Distribute the 2.
2x + 6 = 5x Now subtract 2x from both sides.
6 = 3x Divide both sides by 3.
2 = x So that first part is true only when x = 2. Gaa! That's not one of your answer choices. Now, check out the second part
b. 5x = 6 - 3x Add 3x to both sides.
8x = 6 Divide by 8
x = 6/8 = 3/4
It doesn't help to use the first and third expressions, either.
2(x + 3) = 6 - 3x Distribute the 2
2x + 6 = 6 - 3x Add 3x.
5x + 6 = 6 Subtract 6.
5x = 0 Divide by 5
x = 0
None of these is always false. None of these is always true.
4. x - 3 = 2x - 3 - x Simplify the right side by combining the x terms.
x - 3 = x - 3 Aha! Same expression on both sides! Always true
5. 3(x - 5) = 2(x - 5) + x Distribute the 3. Distribute the 2.
3x - 15 = 2x - 10 + x Combine the x terms on the right.
3x - 15 = 3x - 10 Subtract 3x
-15 = -10 (Always false!)
Related Questions
Which graph represents y=3 sqrt x?
Answers
Answer:
I would say graph D
Step-by-step explanation:
mark me Brainliest if correct
Answer:
d
Step-by-step explanation:
What is the y-coordinate of the solution of the system?
4x−y=−21
y = x + 6
Enter your answer in the box.
Answers
Answer:
x= -13, y= -7
Step-by-step explanation:
Solve the inequality:
8 = 5a > -12
help!!! No links and correct awnser gets brainliest✨
Answers
Answer:
a = 4
Step-by-step explanation:
8 = 5a > - 12
8 + 12 = 5a > - 12 + 12
20 = 5a
20 ÷ 5 = 5a ÷ 5
a = 4
Check:
8 = 5(4) < 12
8 = 20 < 12
It is correct.
Mario's dog has three puppies: Archie, Bailey, and Coco. Mario measures the weight of the puppies across several months. Then he represents their weight as a function of time. In all three functions, represents each puppy's weight in pounds and x represents the time in months.
Answers
Answer:
[tex]y = x+ 2[/tex] ---- Archie
[tex]y = \frac{3}{2}x + 3[/tex] --- Bailey
[tex]y = \frac{5}{4}x +2[/tex] --- Coco
Step-by-step explanation:
Given
See attachment for the representation
Required
Determine the function (i.e. equation) of each
Archie
Take 2 point from the line of the graph
[tex](x_1,y_1) = (0,2)[/tex]
[tex](x_2,y_2) = (12,14)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{14 - 2}{12 - 0}[/tex]
[tex]m = \frac{12}{12}[/tex]
[tex]m =1[/tex]
Archie's equation is:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 1(x - 0) + 2[/tex]
[tex]y = 1(x) + 2[/tex]
[tex]y = x+ 2[/tex]
Bailey
[tex]y = \frac{3}{2}x + 3[/tex] --- Given
Coco
Take 2 point from the table
[tex](x_1,y_1) = (2,4.5)[/tex]
[tex](x_2,y_2) = (6,9.5)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{9.5 - 4.5}{6 -2}[/tex]
[tex]m = \frac{5}{4}[/tex]
Coco's equation is:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = \frac{5}{4}(x - 2) + 4.5[/tex]
[tex]y = \frac{5}{4}x - \frac{5}{2} + 4.5[/tex]
[tex]y = \frac{5}{4}x - 2.5 + 4.5[/tex]
[tex]y = \frac{5}{4}x +2[/tex]
Please help this is my last question no links please
Answers
Answer:
i will say the second one
Step-by-step explanation:
what is the area of 3.46ft and 4ft
Answers
Answer: 13.84
Step-by-step explanation:
The formula is Length x Width (3.46 x 4) Hope this helps!
Your 6 and 2/3 year investment of $1,450 at 5.4% compounded monthly brought you a grand total of?
Answers
Answer:
$2,003.38
Step-by-step explanation:
Kudos if you can answer this.
|2x-7|=7-2x
Find the inequality/solution for x
If bots like link senders answer the question and you cant answer, please answer in the comments. Because i cant give you brainliest like this, i will go to the last 5 questions you have answered and give them all a thanks and a 5 stars.
Your help is appreciated.
Answers
Answer:
X < 7/2
Step-by-step explanation:
Move the variable to the left, separate into possible cases , solve, find the intersections, find the union, and then you get your solution.
Step-by-step explanation:
Given that:
|2x-7| = 7-2x
⇛2x-7 = 7-2x or -(7-2x)
since |x| = a ⇛ x = a or x = -a
⇛2x-7 = 7-2x or 2x-7 = 2x-7
Shift all variables on LHS and constant on RHS, changing it's sign.
⇛2x+2x = 7+7
Add the values on LHS and RHS.
⇛4x = 14
Shift the number 4 from LHS to RHS.
⇛x = 14/4
Write the fraction in lowest form by cancelling method.
⇛ x = {(14÷2)/(4÷2)}
⇛x = 7/2
There is no solution for negative value
x = 7/2
Please let me know if you have any other questions.
Can someone help me
Answers
find a common rule that applies to every input->output
1. divide by 3
15/3=5
24/3=8
2. multiply by 9
2*9=18
6*9=54
3. add 12
10+12=22
15+12=27
4. subtract 7
32-7=25
36-7=29
5. divide by 7
14/7=2
35/7=5
6. add 13
13+13=26
15+13=28
Find the value of x. Round the length to the nearest tenth.
33 cm
4.1 cm
4.4 cm
11.3 cm
Answers
Answer:
4.4 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan 20 = x/12
12 tan 20 = x
4.367642811=x
Rounding to the nearest tenth
4.4 =x
Answer:
4.4 cm
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 20°
Opposite Leg = x
Adjacent Leg = 12 cm
Step 2: Solve for x
Substitute in variables [Tangent]: [tex]\displaystyle tan(20^\circ) = \frac{x}{12}[/tex][Multiplication Property of Equality] Multiply 12 on both sides: [tex]\displaystyle 12tan(20^\circ) = x[/tex]Rewrite: [tex]\displaystyle x = 12tan(20^\circ)[/tex]Evaluate: [tex]\displaystyle x = 4.36764[/tex]Round: [tex]\displaystyle x = 4.4[/tex]What are two numbers that has the product of 40 but has the sum of 13
Answers
Answer:
8 and 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
What are the factors of 40? 8 * 5
8 + 5 = 13
To do it algebraically gives you a quadratic:
A + B = 13
AB = 40
A(13 - A) = 40
A2 - 13A + 40 = 0
(A - 8)(A - 5) = 0
A = 8 and B = 5
1. If the area of a rectangle is represented by x^2+ 8x + 15 and its length is represented by x
+5, which expression represents the width of the rectangle?
Answers
Answer:
(x + 3)
Step-by-step explanation:
a = x^2+ 8x + 15
Factor
a = (x + 5)(x + 3)
if (x + 5) is the length
then (x + 3) is the width
The area of a circle is 645 ft2. What is the circumference, in feet? Express your
answer in terms of pie
Answers
Answer:
90.03
Step-by-step explanation:
To the nearest cent, what is the ,begin emphasis,mean,end emphasis, weekly income of these employees?
Answer options with 4 options
A.$115.64
B.$138.05
C.$140.23
D.$157.38
Answers
Answer:
I think b?
Step-by-step explanation:
Answer:
157.38
Step-by-step explanation:
if you add all those numbers you will get 1888.59/12= 157.38
PLZZ HELP I WILL MODERATE SPAM ANSWERS AND I WILL GIVE BRAINLIEST
According to the boxplot shown below, what is the third quartile (Q3) value?
Answers
Answer:
49.0
Step-by-step explanation:
Pls Answer! Will give brainliest. Khanna earns a annual salary of $33,000. Her federal income tax bracket is 20%. She also must pay 7.65 % Social Security and Medicare taxes. She plans to deposit 15% of her net income into a savings account. Rounded to the nearest dollar how much will she save annually?
3203
3581
3960
4571
Answers
Answer: $3,581
Step-by-step explanation:
As she plans to save from her net income, we have to find the net income first:
= Net income - Federal taxes - Social and Medicare taxes
= 33,000 - (33,000 * 20%) - (33,000 * 7.65%)
= $23,875.50
The savings will be:
= Net income * Savings percentage
= 23,875.50 * 15%
= $3,581.325
= $3,581
Finn’s fish store has 5 tanks of goldfish; each tank holds 40 fish. He collects and inspects 5 fish from each tank and finds that 4 fish have fin rot. Find the estimated number of goldfish in the store that have fin rot. SHOW ALL WORK!
Answers
Answer:
32
Step-by-step explanation:
p=sample proportion
p=number of defective parts/size of sample = 4/25
Estimate:
(sample proportion)x(size of population) = (4/25)x(200)=32
fish tested = 5x5=25
fish population = 40x5=200
The trapezoids given are similar. Find the value of x.
Answers
Answer:
[tex]x = 20[/tex]
Step-by-step explanation:
They are similar trapezoids, so that their corresponding sides are also similar.
[tex] \frac{24}{16} = 1.5[/tex]
So that
[tex] \frac{30}{x} = 1.5 \\ x = 20[/tex]
As an estimation we are told £3 is €4.
Convert £54.20 to euros.
Give your answer rounded to 2 DP.
Answers
Answer:
72.27 euros
(54.20 X 4) / 3
Help please……………….yes or no 1,2,3,4,5
Answers
Answer:
Yes, yes, no, no, yes
Step-by-step explanation:
Answer:
yes ,yes, no ,no, yes here
Pythagoras theory
Find the missing side length of the following right triangle.
Answers
Explanation:
50 yards is the hypotenuse.
So,
a^2+ b^2=c^2
a^2+30^2=50^2
Solve the exponents
a^2+900=2500
Subtract 900 from both sides
a^2= 1600
Opposite of squared is square root so find the square root of 1600.
a=40
a is the missing side length
If you wish to prove this stamens simple plug 40 into a in the original equation like so:
40^2+30^2=50^2
Solve exponents
1600+900=2500
Solve
2500=2500
Since the statement is true the answer is correct.
You borrowed $200 from your brother and he's created 2 plans to help you decide how you want to pay it back. His plans are below.
a- How much money did you borrow initially?
b- How much does each plan have you paying each week?
c- which plan would you choose and why?
Answers
Answer: c i would choose give him 250 dollars hope this helped
plz make brainly
Step-by-step explanation:
The sides of a triangle are x cm, (x - 1) cm and (x + 2) cm. IF the perimeter is 29 cm, then the SHORTEST side is
Answers
Answer:
8 1/3
Step-by-step explanation:
x+(x-1)+(x+2)=29
3x+1=29
3x=28
x=9 1/3
9 1/3-1= 8 1/3
if perimeter of square is 72cm find it length
Answers
Answer:
18 cm each side
Step-by-step explanation:
Square has 4 sides. So, 72/4=18
18 cm each side
plz mark me as brainliest.
I need helpppppppppppoppppp
Answers
Answer:
Step-by-step explanation:
all of the statements are true
Please help! And please serious answers only
Answers
Answer:
This is a quadratic function
write it in the form [tex]a(x-h)^2+k[/tex]
h and k is the vertex, meaning the coordinate that is lowest or highest point depending on where the function is...pointing. You can see that the function is point up, so h is the x coordinate is at the bottom. the vertex coordinate is (9, -4), im sure you know why. In the formula, h means the x and k is the y. So that means that the h is 9 and k is -4.
now the think will be [tex]a(x-9)^2-4\\[/tex]
now you find a by plugging one of the point, you can take the point (12, 4)
[tex]a(12-9)^2-4=4\\9a=8\\8/9=a\\[/tex]
so the equation
[tex]8/9 (x-9)^2 -4[/tex]
Step-by-step explanation:
Every month, a company increases its sales by twice the previous month. The company experienced 23 sales in January, 46 sales in February, 92 sales in March, and so on. If this pattern continues, how many total sales will the company have made after 9 months?
Answers
The company will have 5888 sales.
F(x) =x^2 what is g(x)
Answers
Composition of a function is done by substituting one function into another function. For example, f [g (x)] is the composite function of f (x) and g (x). The composite function f [g (x)] is read as “f of g of x”. The function g (x) is called an inner function and the function f (x) is called an outer function.
9. Todd takes out a student loan for $25,000. The annual simple interest
rate on the loan is 4.75%. How many years will it take for the interest on
the loan to reach $7,125?
Answers
Answer:6
Step-by-step explanation:
4.75% of 25000 is 1,187.5
Times 6 it's 7,125
HELP PLEASE!! Please don't give me sites or links, those won't work since the site is blocked
Answers
Explanation: the image shows it holding a 100,10, and another 10.
Add them all together to get 120.