Which pair shows equivalent expressions?
2x + 10 = -2(x-5)
-2(x+5) = 2x-10
-2x-10 = -2(x+5)
-2(x-5) = -2x-10
Answer:
The 3rd equation, -2x-10 = -2(x+5)
Step-by-step explanation:
Equivalent expressions means both sides of the equal sign equal the same thing
To find which ones are equivalent expressions, we must solve/simplify both sides of each equation to see if they're actually equal to each other
We will use PEMDAS for this
1. 2x + 10 = -2(x - 5)
Start with Parentheses, and distribute the -2 to what's inside said parentheses
2x + 10 = -2x + 10
Not equal
2. -2(x+5) = 2x-10
Once again, start with Parentheses, and distribute the -2 to what's inside said parentheses
-2x - 10 = 2x - 10
Not equal
3. -2x-10 = -2(x+5)
Once again, start with Parentheses, and distribute the -2 to what's inside said parentheses
-2x - 10 = -2x - 10
Equal
4. -2(x-5) = -2x-10
Once again, start with Parentheses, and distribute the -2 to what's inside said parentheses
-2x + 10 = -2x - 10
Not equal
least to greatest 52, 63, 55, 56, 62, 54, 59, 60, 53, 61, 88
Answer:
52, 53, 54, 55, 56, 59, 60, 61, 62, 88
Step-by-step explanation:
You need to start from 52 to 88 (least to greatest) and then you will get answer.
Problem
* Henry has many different screwdrivers. Each screwdriver is 6 inches long. He wants to make a line of
screwdrivers that is 1 yard long. How many screwdrivers will Henry need?
Answer:
Henry will need 6 screwdrivers.
Answer:
Henry will need 6 screwdrivers.
Step-by-step explanation:
[tex]1yard = 36inches\\\frac{36inches}{6inches/screwdriver} = 6screwdrivers[/tex]
What is the area of the figure shown delow?
Answer:
160mm2 is the correct answer
Step-by-step explanation:
Ted needs 2500 metres of lighting cable for a job. What is this length in kilometres?
Answer:
2.5km
Step-by-step explanation:
1000m=1km
We have 2500m
2500m=2.5km
PLEASE HELP
The graph of g(x)=3x^2+bx-24 has the same x-intercepts. what is the value of b?
(A) -6
(B) 14
(C) -2
(D) 1
The value of b so that 3 · x² + b · x - 24 has the same x-intercepts (only one x-intercept) is 12 √2.
How to determine a missing coefficient in a second order polynomial
Second order polynomials are represented graphically by parabolae and it may have two, one or no x-intercepts. The quantity of x-intercepts can be deducted from the discriminant of the quadratic formula, which is defined below:
For a · x² + b · x + c = 0, the discriminant is defined by:
d = b² - 4 · a · c (1)
There are three rules to determine the number of possible intercepts:
If d < 0, then there are no x-intercepts.If d = 0, then there is only one x-intercept.If d > 0, then there are two x-intercepts.Then, we have to find a value of b so that (1) has the following form:
b² - 4 · 3 · (-24) = 0
b² - 288 = 0
b = 12√ 2
The value of b so that 3 · x² + b · x - 24 has the same x-intercepts (only one x-intercept) is 12 √2. [tex]\blacksquare[/tex]
RemarkThe answer choices do not correspond with the given statement, the phrase "same x-intercepts" may lead to confusion and possible graph cannot be found. A possible corrected statement is shown below:
The graph of g(x) = 3 · x² + b · x - 24 has only one x-intercept. What is the value of b?
To learn more on parabolae, we kindly invite to check this verified question: https://brainly.com/question/10572747
Answer:
Step-by-step explanation:
the box plot shoes the lengths of the songs on two digital music players
Hello, it seems your questions didn't upload correctly. Are you able to resend it?
Solve the inequality 4i−4(i+2)≥6(8i−8) and write the solution in interval notation
Answer:
[tex](-\infty,\frac{25}{24}][/tex]
Step-by-step explanation:
Assuming [tex]i[/tex] is a variable:
[tex]4i-4(i+2)\geq6(8i-8)\\\\4i-4i+2\geq48i-48\\\\2\geq48i-48\\\\50\geq48i\\\\\frac{50}{48}\geq i\\ \\\frac{25}{24}\geq i\\ \\i\leq\frac{25}{24}\\ \\(-\infty,\frac{25}{24}][/tex]
Solve the equation, 3x – 6 = 12, for x. Which of the following properties did you apply? Question 2 options: A) Addition property of equality and multiplication property of equality B) Addition property of equality and division property of equality C) Distributive property, subtraction property of equality, and multiplication property of equality D) Distributive property, addition property of equality, and division property of equality
The distance between the points (1,2) and (x,-1) is 5 units. Find the possible values of x
Answer:
-3,5
Step-by-step explanation:
[tex]d = \sqrt{(x _{2} - x _1) {}^{2} + (y _{2} - y _{1} {} ) {}^{2} } [/tex]
[tex]5 = \sqrt{(x - 1) {}^{2} + ( - 1 - 2) {}^{2} } [/tex]
[tex]5 = \sqrt{(x - 1) {}^{2} + ( - 3) {}^{2} } [/tex]
[tex]25 = (x - 1) {}^{2} + 9[/tex]
[tex]16 = (x - 1) {}^{2} [/tex]
[tex]4 = x - 1[/tex]
[tex]x = 5[/tex]
Or
[tex] - 4 = x - 1[/tex]
[tex]x = - 3[/tex]
Solve the two-step equation.
3
4
(x) − 1.72 = −6.82
1. The first step is to
✔ add 1.72
on both sides.
2. The second step is to
on both sides.
The solution is x =
.
Answer:
[tex]\boxed{\sf{x=-0.15}}[/tex]Step-by-step explanation:
Isolate the term of x from one side of the equation.
34(x)-1.72=-6.82Rewrite the problem down.
⇒ 34x-1.72=-6.82
First, add by 1.72 from both sides.
⇒ 34x-1.72+1.72=-6.82+1.72
Solve.
⇒ -6.82+1.72=-5.1
Rewrite the problem down.
⇒ 34x=-5.1
Divide by 34 from both sides.
⇒34x/34=-5.1/34
Solve.
Divide the numbers from left to right.
⇒ -5.1/34=-0.15
⇒ x=-0.15
Therefore, the solution is x=-0.15, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
Here is the correct answer is this
Step-by-step explanation:
Estimate f(4.04) for f as in the figure
Answer:
2.013 to 3 DP's.
Step-by-step explanation:
f(4.04) will be very close to the tangent line.
Equation of tangent line
is y - 4 = m(x - 10)
m = (4-2) / (10-4) = 1/3
y - 4 = 1/3(x - 10)
y = 1/3x - 10/3 + 4
y = 1/3x + 2/3
So the require estimate of f(4.04)
= 1/3(4.04) + 2/3
= 2.013333
Represent the number 144 in four different ways using repeated multiplication.
example: 4 x 4 x 3 x 3
What is 1 + 1 x 3 Whoever answers it to
Answer:
It equals 4
Step-by-step explanation:
1 + 1 x 3=4
Answer:
I think it equals 4
Step-by-step explanation:
1 + 1 x 3=4
The field trip to the science museum will cost $22 per student. If Mrs. Robertson has 24 students, how much money will she collect in all?
Answer:
528
Step-by-step explanation:
22x24=528
Answer:528$
Step-by-step explanation: you have to do 22 dollars times 24 students which would be 528
Choose the set of numbers with an average of 8.
A) 3, 5, 7, 8, 12
B) 2, 3, 6, 13, 16
C) 2, 4, 8, 11, 20
Answer:
B
Step-by-step explanation:
A) (3+5+7+8+12)/5 = 35/5 = 7 => Incorrect
B) (2+3+6+13+16)/5 = 40/5 = 8 => Correct
C) (2+4+8+11+20)/5 = 45/5 = 9 => Incorrect
6. Roughly what percent of the US
flag is red?
Answer:
about 14 percent but the exact is 14 3
can someone help me answer this question?
check picture uploaded to see steps
children = 201
adults = 277
Giving brainliest to people who get this right
Answer:
A
Step-by-step explanation:
If y is a function of x, then the equation for y would be y=Ix(+or-or*or%) to nI
For this specific event, the proper equation would be y=Ix-0.5I
Breaking down this equation, y equals the absolute value of x-0.5.
So if x was 2, it would go as y=I2-0.5I where y equals 1.5.
Which of the binomials below is a factor of this expression?
49x^2 + 28xy + 4y^2
A. 7x + 4y
B. 7x + 2y
C. 7x - 2y
D. 7x - 4y
Answer:
B. 7x+2y
Step-by-step explanation:
[tex]49x^2+28xy+4y^2\\\\=(7x)^2+2\cdot 7x \cdot 2y + (2y)^2\\\\=(7x+2y)^2\\\\=(7x+2y)(7x+2y)[/tex]
How many square meters are there in a floor that is 9 meters long by 12 meters wide?
99
108
109
117
Answer:
108
9×12
Step-by-step explanation:
please mark me as brainlest
Area of the figure .
Answer: the answer is not in the multiple choice.
area = 60 in^2
Step-by-step explanation:
Given g(x)
-2 – 2, find g(-3).
Answer:
The calculation of the function given shows that since g(x) = -2x² - 9, the value of g(3) will be -27.
How to calculate the function?From the complete function, it should be noted that the value of g(x) = -2x² - 9.
Therefore, the value of g(3) will be calculated thus:
= -2(3)² - 9
= -2(9) - 9.
= -18 - 9
= -27
In conclusion, g(3) is -27.
Learn more about function on:
https://brainly.com/question/25638609
A boat, which moves at 29 miles per hour in water without a current , goes 825 miles upstream and 825 miles back again in 58 hours. Find the speed of the current to the nearest the the place.
Answer:
4 mph
Step-by-step explanation:
Travel time is proportional to distance and inversely proportional to speed. If c represents the speed of the current in miles per hour, an equation for the total trip time is ...
825/(29 -c) +825/(29 +c) = 58 . . . . . . hours travel time
825(29 +c) +825(29 -c) = 58(29 -c)(29 +c)
58c² -928 = 0 . . . . . . . rearrange to standard form
58(c -4)(c +4) = 0 . . . . factor
Values of c that satisfy this equation are 4 and -4. For the purpose here, we'll choose the positive solution.
The speed of the current is 4 miles per hour.
Can someone help me!
Answer:
Top left.
Step-by-step explanation:
20.
19. Make Sense and Persevere Use the Distributive
Property to expand 7(7x - 3y) - 6.
HELP PLEASE
Answer:
49x-21y-6
Step-by-step explanation:
7(7x) 7(-3y) -6
49x-21y-6=0
Can the sides of a triangle have lengths 2, 6, and 7?
Answer:
Yes
Step-by-step explanation:
The third largest side is 7 and the other two sides added are bigger than seven.
2 + 6 = 8
Is this answer accurate?
I need help on this question
Answer:
wow that is a tough one the answer is 438654
Step-by-step explanation:
all that is to it
A ball follows a path described by the function h(x) = -3x^2 +12x +14 where h(x) is the height of the ball after x seconds. After how many seconds will the ball be at its
highest point?
A. 1 second
B. 2 seconds
C. 3 seconds
D. 4 seconds
Answer:
3
Step-by-step explanation:
A school's principal wanted to give a special 'Good Luck' pencil for each student in the fifth grade. If there are 105 kids in the fifth grade, and there are 12 pencils in each box, how many boxes will he need to buy?