Answer:
A.
Step-by-step explanation:
You need to solve for p on both inequalities.
4 ≤ p - 8
12 ≤ p
p - 14 ≤ 2
p ≤ 16
This means that p is greater than or equal to 12 but less than or equal to 16.
12 ≤ p ≤ 16
Therefore, the answer is A.
Question Progress
Simplify fully
a) 8c^4d^5÷2c3^d^3
b)9a3b5/3ab2
Answer:
A.) 4cd^2
B.) 3a^2b^3
Step-by-step explanation:
simplify by following the rules to adding exponents
Dylan, Alan, Bruce, and Cecil are brothers. Dylan weighs d pounds. Alan weighs 3 pounds more than twice what Dylan weighs. Bruce weighs 12 pounds less than three times what Dylan weighs. If Cecil weighs the same as the combined weight of Bruce and Alan, what is Cecil’s weight in terms of Dylan’s weight (d)?
Part A
Alan weighs 3 pounds more than twice what Dylan weighs. Write an expression to represent Alan’s weight in terms of Dylan’s weight.
Part B
Bruce weighs 12 pounds less than three times what Dylan weighs. Write an expression for Bruce's weight in terms of Dylan's weight
Part C
Cecil weighs the same as the combined weight of Bruce and Alan. Use the expressions you found in parts A and B to write an expression for Cecil's weight in terms of Dylan’s weight.
Part D
Assume that Dylan weighs 45 pounds. Use the expression from part C to calculate Cecil’s weight.
Part E
Recall the linear expression for Cecil’s weight in part D. Before plugging values into it, could you have simplified the expression? If yes, explain how.
Part F
Simplify the expression (2d + 3) + (3d − 12).
Part G
Dylan weighs 45 pounds. Use the simplified expression you found in Part F to recalculate Cecil’s weight. Show your work.
Part H
Did you get the same answer for Cecil’s weight in parts D and G? What can you conclude about the expressions you developed in parts D and G?
Part I
Let's try something a bit different. The four brothers know that Bruce weighs more than Alan. Write an expression to represent how much more Bruce weighs than Alan. Write the in terms of Dylan’s weight, d.
Part J
Dylan weighs 45 pounds. Use the expression you derived in part I to calculate how much more Bruce weighs than Alan.
Part K
Now simplify the expression (3d − 12) − (2d + 3) you wrote in part I.
art L
Dylan weighs 45 pounds. Use the simplified expression you found in part K to recalculate how much more Bruce weighs than Alan. Did you get the same answer as in part J? If not, be sure to check your work, particularly the positive and negative signs.
PLEASE HELP I WILL DO YOUR WORK IF YOU DO THIS FOR ME PLZZZZZZZZZZZZZZZ
Answer:
PART A- 3+D POUNDS
PARTB- 3D-12
Step-by-step explanation:
dylan-d pounds
alan-3+d pounds
bruce-3d-12
Answer:
Alan = A
Bruce = B
Cecil = C
Dylan = D
Part A A = 2 x D + 3
Part B B= 3 x D - 12
Part C C= A+B A = 2 x D + 3 B= 3 x D - 12
Part D Cecil weighs 216 pounds
Part E Yes, the expression can be simplified by using the Associative and Commutative Properties of addition and by combining the like terms in the expression.
Part F 5d-9
Part G Cecil’s weight in terms of Dylan’s weight is 5d – 9. Find Cecil’s weight by substituting Dylan’s weight (d = 45) into the expression above:
(5 × 45) − 9 = 225 − 9 = 216.
If Dylan weighs 45 pounds, then Cecil weighs 216 pounds.
Part H Yes, the answers are the same. The expression from part D is equivalent to the expression from part G.
Part I Bruce's weight in terms of Dylan’s weight is 3d − 12. Alan's weight in terms of Dylan’s weight is 2d + 3.
So, the expression (3d − 12) − (2d + 3) represents how much more Bruce weighs than Alan.
Part J The expression is (3d − 12) − (2d + 3). Evaluate the expression by substituting Dylan’s weight (d = 45) into it: (3 × 45 − 12) − (2 × 45 + 3) = (135 − 12) − (90 + 3) = (123) − (93) = 30.
Bruce weighs 30 pounds more than Alan weighs.
Part K (3d − 12) − (2d + 3).
First remove the parentheses:
3d − 12 − 2d − 3.
Then group the like terms:
3d − 2d − 12 − 3.
Finally, subtract the like terms:
d − 15.
The expression (3d − 12) − (2d + 3) simplifies to d − 15.
Part L The expression is d − 15. Evaluate the expression by substituting Dylan’s weight (d = 45) into it: 45 − 15 = 30.
Bruce weighs 30 pounds more than Alan. This is the same answer as in part J.
Step by step explanation:
So you basically want to focus on Alan and Bruce they will help you get the rest of your answers
Note:
Some of these are direct answers from Edmentum
What is the total price of 2.6 pounds of pears at 90 cent per pound?
Answer:
It would be $2.34
Step-by-step explanation:
2.6x90=234 but in this case it is money so add a decimal
Given that f(x)=2x+1
a) find f(2)
b)find f^-1(x)
c)f^-1(7)
Answer:
a) [tex]f(2) = 5[/tex], b) [tex]f^{-1} (x) = \frac{x-1}{2}[/tex], c) [tex]f^{-1} (7) = 3[/tex]
Step-by-step explanation:
a) We evaluate the function at [tex]x = 2[/tex]:
[tex]f(2) = 2\cdot (2) + 1[/tex]
[tex]f(2) = 4+1[/tex]
[tex]f(2) = 5[/tex]
b) First, we determine the inverse of the function by algebraic means:
1) [tex]y = 2\cdot x + 1[/tex] Given
2) [tex]y +(-1) = 2\cdot x + [1+(-1)][/tex] Compatibility with addition/Associative property
3) [tex]y + (-1) =2\cdot x[/tex] Existence of additive inverse/Modulative property
4) [tex]2^{-1}\cdot [y+(-1)] = (2\cdot 2^{-1})\cdot x[/tex] Compatibility with multiplication/Commutative and associative properties
5) [tex][y+(-1)]\cdot 2^{-1} = x[/tex] Existence of multiplicative inverse/Modulative and commutative properties
6) [tex]x = [y+(-1)]\cdot 2^{-1}[/tex] Symmetry property of equality
7) [tex]x = \frac{y-1}{2}[/tex] Definitions of subtraction and division
8) [tex]f^{-1} (x) = \frac{x-1}{2}[/tex] [tex]x = f_{-1} (x)[/tex]/[tex]y = x[/tex]/Result
c) Now we evaluate the expression obtained on b) at the given number:
[tex]f^{-1} (7) = \frac{7-1}{2}[/tex]
[tex]f^{-1} (7) = 3[/tex]
0 = 4x + 4 linear equation
Answer:
x = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
0 = 4x + 4
Step 2: Solve for x
Subtract 4 on both sides: -4 = 4xDivide 4 on both sides: -1 = xRewrite: x = -1Between what two integers is √70?
Answer:
8 and 9
Step-by-step explanation:
8^2 is 64 and 9^2 is 81 so 8 and 9
6x + 3y = 12
4x + y = 14 what is the solution
Answer:
x=5 y=-6
Step-by-step explanation:
6x + 3y = 12 , 4x + y = 14
4x*3+y*3=14*3
12x+3y=42 , 6x+3y=12
(12x-6x)+(3y-3y)=30
6x=30, x=5
4*5 + y = 14
y=-6
solve: logx 64 = 3. Which is an equivalent equation?
By applying the definition of logarithm, you have
\log_x(64) = 3 \iff x^3 = 64logx(64)=3⟺x3=64
So, if you consider the cubic root of both sides, you have
x = \sqrt[3]{64} = 4x=364=4
Answer:
x
=
4
,
−
2
+
2
i
√
3
,
−
2
−
2
i
√
3
Step-by-step explanation:
PLEASE HELP! I WOULD TRULY APPRECIATE IT :(
When trying to find solutions to the system of equations
x+y=3
2x+2y = 6
you take several correct steps that lead to the expression 0=0.
Which statement is true?
A x=0 and y=0
B
The system has no solution.
The system has one solution, but we don't know what it is.
D
The system has infinitely many solutions.
Answer:
D
Step-by-step explanation:
Let me know if I was right :( don't be mean pls
Help with this please
Calculate |m| if m=21-72i. Round off answer to nearest hundred
Answer:
n6666667900087474455
A line AB joins the points A (3,4) and B (5,8). Write down the coordinates of the midpoint of the line AB
Please help
Thank you
Given:
A line AB joins the points A (3,4) and B (5,8).
To find:
The midpoint of the line AB.
Solution:
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
A line AB joins the points A (3,4) and B (5,8). So, the midpoint of line AB is
[tex]Midpoint=\left(\dfrac{3+5}{2},\dfrac{4+8}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{8}{2},\dfrac{12}{2}\right)[/tex]
[tex]Midpoint=\left(4,6\right)[/tex]
Therefore, the midpoint of the line AB is (4,6).
PLEASE HELP HURRY LOOK AT IMAGE!!!!
Please help, this is called Writing Equations
Answer:
I think its the 2nd one im not sure tho
Step-by-step explanation:
Answer:
first one is 14.
second one is 131-11=6B
Step-by-step explanation:
1) 252/18=14
2) you want to know how much 6 books sre and it says you got 11 dollars change so u take 11 from 131 to get the price of 6 books
hope that helps :)
2(2x + 4) - (5x - 3)
Answer:
-x + 11
Step-by-step explanation:
Distribute 2 into 2x + 4 to get 4x + 8, convert the negative sign for the second pair of parentheses to get - 5x + 3. Combine the two like terms together to get the final answer which is -x + 11.
Question 4 Given: f(x) = -3x – 3 and g(x) = x2 + 5 Find (f - g) ().
Answer:
We get [tex]\mathbf{(f-g)(x)= -x^2-3x-8}[/tex]
Step-by-step explanation:
We are given:
[tex]f(x) = -3x - 3\\ g(x) = x^2 + 5[/tex]
We need to find (f-g)(x) (assuming there is x in the bracket, i.e. (f - g) () should be (f-g)(x))
We would simply subtract f(x) and g(x)
[tex](f-g)(x)\\= -3x-3-(x^2+5)\\Multiply\:minus\:sign\:with\:terms\:inside\:the\:bracket\\=-3x-3-x^2-5\\Combining\:like\:terms:\\=-x^2-3x-3-5\\=-x^2-3x-8[/tex]
So, We get [tex]\mathbf{(f-g)(x)= -x^2-3x-8}[/tex]
What name best describes this shape?
quadrilateral
rhombus
square
trapezoid
Submit
What shape lol? Gotta snag those points ;)
Dione is designing a water fountain for the lobby of a new hospital. She knows that the fountain will have a circular pool with water projected upward at a constant rate from the center of the pool. She needs to determine the maximum height, so she uses a linear model to represent the situation.
Answer:
Diane did not choose a good model. Because the water is a projectile with a maximum height, she should use a quadratic model
Step-by-step explanation:
Here, we want to choose the correct option
As we are having a circular projection, we should be looking at having a parabolic representation i.e a model that looks like a parabola
So the correct answer in this case is that;
Diane did not choose a good model. Because the water is a projectile with a maximum height, she should use a quadratic model
All you got to do is answer question means 4, 5, 7, 8! Basically all you Gotta do is read the sentence and then match it with one of the equations to the right that aren’t crossed off, !
4?
5?
7?
8?
There's no picture to it.
Read the excerpt from Heart of a Samurai.
Each of them was also given a metal stick, with four prongs on one end.
“Fork,” the sailor said – and showed them they should use it to eat the rice.
The fishermen recited their prayer before eating. “Itadakimasu – I will humbly receive.”
Then Goemon said, “It might be poison.”
What can readers infer based on details in the excerpt?
A. Goemon likes new experiences.
B. Goemon is not afraid of his rescuers.
C. Goemon does not trust his rescuers.
D. Goemon has used a fork before.
Answer:
c. goemon does not trust his rescuers.
Step-by-step explanation:
goemon said it might be poison.
he was cautious about eating the food.
Plz need help thank u sm
Answer:
x = 5
Step-by-step explanation:
Since the problem shows us that all the angles of the triangle are equal, we can confirm this is an equilateral triangle. Equilateral triangles have the same angles and the same side lengths. Knowing this, we can set up an equation to solve for x.
6x - 5 = 5x (Given)
-5 = -x (Subtract 6x on both sides)
5 = x (Divide -1 on both sides)
Therefore, x = 5.
Answer:
x = 5
Step-by-step explanation:
Since all the three angles of the triangle GJH are marked by identical signs, thus they are congruent.
Therefore, triangle GJH is an equilateral triangle.
Measures of all sides of an equilateral triangle are equal.
So,
6x - 5 = 5x
6x - 5x = 5
x = 5
The bakers fits 26 rolls on to a pan that measures 1 5/8ft2. How many square feet does the baker use for each roll
Answer: 1/16 ft²
Step-by-step explanation:
The baker put 26 rolls into a pan that has an area of 1⁵/₈ ft².
Each roll is therefore taking up a space of:
= Area/ Number of rolls
Convert the fraction to an improper fraction:
1 ⁵/₈ = 13/8
= 13/8 ÷ 26
= 13/8 * 1/26
= 13/208
= 1/16 ft²
Can someone help me please?
Answer:
B) x = 2√2, y = 2
Step-by-step explanation:
The easiest way to solve this is to see that because one corner is 90 degrees, and the other 45, then the third one must also be 45. This means that the two sides on the right angle are the same length, so y = 2.
With that then, you can use the Pythagorean theorem to solve for x:
[tex]x = \sqrt{2^2 + 2^2}\\x = \sqrt{4 + 4}\\x = \sqrt{8}\\x = 2\sqrt{2}[/tex]
So the correct answer is b. x is equal to two root two, and y is equal to two.
PLEASE HELP!! I’ve got a car with an internal volume of 12,000 L. If I drive my car into the river and it implodes, what will be the volume of the gas when the pressure goes from 760 mmHg to 141.82 kPa?
Answer:
V2 = 8571.43L
Step-by-step explanation:
To solve for the V2, We can use V2 = P1V1 / P2
= 1.0 atm × 12,000 L / 1.4 atm
= 12,000 L / 1.4 atm
= 8571.43 L
Pls help me ASAP!
Evaluate the following
a: |8| - 9 =
b: |8 - 9| =
Answer:
a = -1
b= 1
Step-by-step explanation:
8's absolute value is 8, so 8 - 9 is -1 but 8-9 = -1 and since the answer is in the absolute value bars, -1's absolute value is 1, so the answer will be 1
but in a, only 8 is in the absolute value bars, not the complete answer
32) Convert this fraction to a decimal number: 4/10
Answer:
40%
Step-by-step explanation:
what is a prime number
Answer:
Step-by-step explanation:
Prime number is
Answer: Prime numbers are numbers that have only 2 factors: 1 and themselves. For example, the first 5 prime numbers are 2, 3, 5, 7, and 11. By contrast, numbers with more than 2 factors are call composite numbers.
Step-by-step explanation:
What is the equation in standard form of a line that passes through the point (-2, 5) and has a slope of -0.3?
Answer:
y= −0.3x+4.4
Step-by-step explanation:
6∛I=
9∴ =
2² - y3=
Answer fast pls
Answer:
the last one is 4−y^3
the others i dont know sorry :(
What is the midpoint of the segment shown below?
10
(-1,5)
O A. (-3.3)
B. (-7,3)
. 10
10
(-6, -2)
O C. (-7, )
O D. (
-3)
10
SUBMIT
Answer: D. (-7/2,3/2)
Step-by-step explanation: (apx)
The midpoint of the segment shown below is option D. (-7/2, 3/2).
What are the Coordinates?Coordinates are the set of points in a geometrical plane or space, which is used to denote the exact point in the coordinate plane or space.
Given a line segment with the given coordinates for the end points.
Midpoint of a segment with end points (x, y) and (x', y') is,
Midpoint = ((x + x') / 2, (y + y') / 2)
Here the end points of the segment are (-6, -2) and (-1, 5).
Midpoint of the segment = ((-6 - 1) / 2, (-2 + 5) / 2)
= (-7/2, 3/2)
Hence the mid point of the segment is (-7/2, 3/2).
Learn more about Midpoint of Segments here :
https://brainly.com/question/4747771
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