Answer:
[tex]{ \tt{ |2x - z| + 6b}} \\ \\ \dashrightarrow \: { \tt{ |2(2.1) - ( - 4.2)| + 6( - 3) }} \\ \\ \dashrightarrow \: { \tt{ |8.4| - 18 }} \\ \\ { \boxed{ \boxed{ \tt{ \dashrightarrow \: \: - 9.6 \: \: }}}}[/tex]
M is the midpoint of PQ. MQ = 5x + 8 and PQ = 6x + 56, find PM.
(4 Points)
Enter your answer
If M is the midpoint of PQ. MQ = 5x + 8 and PQ = 6x + 56, then PM = 58
Since M is the midpoint of PQ
PM + MQ = PQ................(*)
Given:
PQ = 6x + 56
MQ = 5x + 8
Substitute PQ and MQ into equation (*)
PM + (5x + 8) = 6x + 56
Collect like terms
PM = 6x + 56 - (5x + 8)
Expand the equation using the distributive rule
PM = 6x + 56 - 5x - 8
PM = 6x - 5x + 56 - 8
PM = x + 48.........(**)
Equate MQ and PM
MQ = PM
5x + 8 = x + 48
Collect like terms
5x - x = 48 - 8
4x = 40
Divide both sides by 4
4x / 4 = 40/4
x = 10
Substitute x = 10 into equation (**)
PM = x + 48
PM = 10 + 48
PM = 58
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Volume of this prism
Four students, Amanda, Briana, Courtney, and Diana were given an assignment in their math class to create inequalities with the sme solution set as shown on the graph below.
The graph of the inequality is drawn by placing a shaded circle at 4 as the starting point of ray pointing towards negative infinity
The students that created inequalities with appropriate solution set are;
A. Amanda
D. Diana
Reasons:
Question: The table of the question is presented as follows, and the graph of the inequality is attached
[tex]\begin{array}{|l|l|}\mathbf{\underlie{Amanda}}&-3\cdot x + 5 > -7\\&\\\mathbf{\undrline{Briana}}& \dfrac{1}{2} \cdot (2\cdot x - 4) >2 \\&\\\mathbf{\undrline{Courtney}}&-7\cdot x + 8 > -3 \cdot x +24\\&\\\mathbf{\undrline{Diana}}&9\cdot x - 6 <3 \cdot x+18\end{array}\right][/tex]
Solution:
The inequality with the same solution as the given graph is x < 4
The inequalities created by the students are;
Amanda;
-3·x + 5 > -7
Rearranging the above inequality gives;
-3·x + 5 - 5 > -7 - 5
-3·x > -12
Dividing both sides by (-1) and reversing the inequality sign gives;
[tex]\dfrac{-3 \cdot x}{-3} = x < \dfrac{-12}{-3} = 4[/tex]
x < 4
Therefore;
The solution of the inequality created by Amanda is x < 4, which is the same as the solution set of the graph, and therefore, is appropriateBriana;
The solution set created by Briana is [tex]\dfrac{1}{2} \cdot (2\cdot x - 4) >2[/tex]
Multiplying both expressions on either side of the equality by 2 gives;
[tex]2\times \dfrac{1}{2} \cdot (2\cdot x - 4) >2\times 2[/tex]
(2·x - 4) > 4
2·x > 4 + 4 = 8
[tex]x > \dfrac{8}{2}[/tex]
Therefore
x > 4
The solution of the inequality created by Briana is x > 4 which is not appropriate for the given graphCourtney;
The inequality created by Courtney is -7·x + 8 > -3·x + 24
Rearranging gives;
8 - 24 > -3·x + 7·x
-16 > 4·x
4·x < -16
[tex]x < \dfrac{-16}{4}[/tex]
x < -4
Courtney's solution is x < -4, which is not an appropriate solution to the given graphDiana;
Diana's solution is 9·x - 6 < 3·x + 18
Rearranging, we get;
9·x - 3·x < 18 + 6
6·x < 24
[tex]x < \dfrac{24}{6}[/tex]
x < 4
Therefor;
Diana's solution is an appropriate solution to the given graphTherefore, the students that created inequalities with appropriate solution set are;
A. Amanda
D. Diana
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Brandon and Jerry like to play video games. Brandon has vvv video games, and Jerry has 292929 video games. Together they have a total of 737373 video games.
Answer:
v + 29 = 73 This is the equation
44 is the answer to this equation. If you needed it
Step-by-step explanation:
Brandon has an unknown amount of video games, which we're selling v, adn Jerry has 29 video games. All together, they have 73 video games.You can represent the amount of games that Jerry and Brandon have as a sum (addition)v + 29You know that together they have 73 gamesYou can set the two expressions equal to describe this situation with an equation v + 29 = 73You can write this as 29 + v = 73, 73 = 29 + v, or 73 = v + 29Anyone of the equations is correctSo the equation is v + 29 = 73 or any of the equations I list
Have an Awesome Day and Well I Hope This Helps
4x-y=20 find the X and Y intercepts from the equation
Answer:
its c
Step-by-step explanation:
i took it
MATCH THE VOCABULARY WORD WITH THE CORRECT DEFFINITION
1. translation
2. rotation
3. transformation
4. reflection
(A) in geometry, a change in the position or shape of an object on a coordinate plane involving one or more dilations, reflections, rotations, or translations of the object
(B) a change in the orientation and position of an object on a coordinate plane in which the object is "flipped" across a line on the plane, which is usually horizontal ( y = a) or vertical ( x = b), and which results in two or more sides of the object being swapped so as to preserve the size and shape of the original object
(C) a change in the position of an object on a coordinate plane in which the object is moved horizontally or vertically to a new position in which its shape and size stays the same
D) a change in the orientation and position of an object on a coordinate plane in which the object is rotated about a point on the plane, which preserves the size and shape of the original object
Answer:
1: C
2: D
3: A
4:B
Step-by-step explanation:
I need help with puzzle #5 in the Domain and Range Digital Escape assignment, can someone help me out?
Answer:
Whether your students are working together or independently, I wanted to make some super-engaging, l math escape room activities that are both fun for students and your need to grade. These new sms are these digital math escape rooms.
find the size of deb
Answer:
[tex]4x + 3 = 6x - 53 \\ 6x - 4x = 3 + 53 \\ 2x = 56 \\ x = \frac{56}{2} = 28[/tex]
Help please thanks
Answer:
a) (x - 1) (x + 4)
b) (x + 1) (x - 3)
c) (x - 2) (x + 4)
Help a dawg out ag i ain gettin this at all
Answer:
x ≤-2
Step-by-step explanation:
-3(x-3)≤5(1-x)
Distribute
-3x+9≤5-5x
Add 5x to each side
-3x+5x+9≤5-5x+5x
2x+9 ≤5
Subtract 9 from each side
2x+9-9 ≤5-9
2x≤-4
Divide by 2
2x/2 ≤-4/2
x ≤-2
Answer:
This one is D
Step-by-step explanation:
− 4/1 a−4= 4/7 a−3
The solution to the equation [tex]\frac{-4}{1(a-4)} = \frac{4}{7(a-3)}[/tex] is a = 3.125
The given equation is:
[tex]\frac{-4}{1(a-4)} = \frac{4}{7(a-3)}[/tex]
Cross multiply:
[tex]-4(7)(a-3) = 4(a-4)[/tex]
Divide both sides by 4
[tex]\frac{-4(7)(a-3)}{4} = \frac{4(a-4)}{4} \\-7(a-3) = a - 4[/tex]
Expand the bracket using the distributive rule
-7a + 21 = a - 4
Collect like terms
a + 7a = 21 + 4
Simplify the arithmetic
8a = 25
Divide both sides by 8
[tex]\frac{8a}{8} = \frac{25}{8}\\a = \frac{25}{8}\\a = 3.125[/tex]
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Plllllllllleeeeeeeeeeeesssse help!
Answer:
3x + 2
Step-by-step explanation:
REPOST** helppp please, can someone please answer and explain this or just answer, i'd prefer an explanation too, I'm don't understand this...
Answer
45 miles per hour .
Each day Valerie charges her lunch if the cost of lunch is 3$ then by now how much has her lunch account been impacted over a period of 15 days
1
What is the solution to the equation
1/x = x+3/2x^2
?
O X=-3
O x= -3 and x = 0
O x = 0 and x = 3
O x=3
[tex] \frac{1}{x} = \frac{x + 3}{ {2x}^{2} } \\ = > \frac{2 {x}^{2} }{x} = x + 3 \\ = > 2x = x + 3 \\ = > 2x - x = 3 \\ = > x = 3[/tex]
Answer:The answer is option d. X = 3
Perform the indicated operation.
Answer:
[tex]4 {x}^{3} + 2 {x}^{2} - 8x - 4[/tex]
Step-by-step explanation:
it's simple, just multiply
f.g(x)=(x^2-2)(4x+2)=4x^3+2x^2-8x-4
Step-by-step explanation:
Hi there!
f(x) = x²-2
g(x) = 4x+2
Then;
f(x).g(x) = (x²-2)*(4x+2)
= x²(4x+2) -2 (4x+2)
= 4x³ + 2x² - 8x - 4
Therefore, the answer is f(x).g(x)= 4x³ + 2x² - 8x - 4.
Hope it helps!
). At a concert, people's hands were stamped as they walked in. To estimate the attendance, the staff randomly
stamped 120 people's hands with a red stamp instead of blue. A random sample of 250 people in the crowd
found 4 people with a red stamp. What is the best estimate for the size of the crowd?
a. 7500 people
b. 5625 people
c. 9375 people
d. 11,250 people
Answer:
7500 people
Step-by-step explanation:
A. Find the indicated number of geometric mean/s between the given two numbers.
1. 5 and 20 [ 1 term ]
2. 8 and 512 [2 terms]
3. 2 and 50 [ 1 term ]
4. 6 and 486 [3 terms]
5. 4 and 108 [2 terms]
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The ratio of the given terms is the common ratio raised to a power equal to the number of means plus 1.
1)For example, the common ratio in the sequence 5, __, 20 will be r, where ...
r^2 = 20/5 = 4 ⇒ r = 4^(1/2) = 2
Then the mean is found by multiplying 5 by this ratio: 5×2 = 10.
__
2-5)The same method is used for finding the common ratio and then the intermediate means. Each mean is the previous term multiplied by the common ratio. Results are summarized in the attached table.
_____
Additional comment
When there are a number of similar calculations to be done, it is convenient to let a spreadsheet do them.
I went to the mall with $75 and bought a pair of shoes and a few candy bars for $1.25 each. How much did I spend?
Write an expression for the situation.
75 - X - 1.25y
75 - x - 1.25
75 + x + 1.25y
Answer:
75 - x - 1.25y
Step-by-step explanation:
What is the equation of the line that is parallel to the
given line and
passes through the point (-3, 2)?
Answer:
4x+3Y=-6 D
Step-by-step explanation:
took the test
Expand and simplify
3(x-y)+4(x+2y)
Answer:
3x-3y+4x+8y
The answer is: 7+5y
Step-by-step explanation:
Step-by-step explanation:
3x-3y+4x+8y
3x+4x-3y+8y
7x+5y Ans
Only like terms can be simplified
By solving the equation a = 2 - 9a, the value of a will be
A.2/5
B.3/5
C.1/5
D.1/2
Answer:
1 / 5
Step-by-step explanation:
a = 2 - 9a
a + 9a = 2
10a = 2
a = 2 / 10
a = 1 / 5
Please solve for 1,2 and 3
Answer:
1. 750/100
h=7.5 in
Which of the following pair of sets is an example of disjoint sets?
X={rational numbers} and Y={whole numbers}
P={multiples of 2} and Q={multiples of 3}
G={multiples of 5} and H={multiples of 10}
E={even numbers} and F={odd numbers}
We want to see which pair of sets is disjoint, this is, see which pair of sets does not share any element.
The correct option is: E = {even numbers} and F = {odd numbers}
So we only need to see which one is the pair of sets that does not share any element, so we can analyze the given options and see if we can find a number that belongs to both sets.
1) X = {rational numbers} and Y = {whole numbers}
Any whole number is also a rational number, for example:
2 = 4/2
So we can write the number 2 as a quotient of two integers, then we can see that these sets share elements.
2) P={multiples of 2} and Q={multiples of 3}
The number 6 is a multiple of both 2 and 3, thus the number 6 belongs to bot sets, then the sets are not disjoint.
3) G={multiples of 5} and H={multiples of 10}
10 is a multiple of 10 and 5, so the number 10 belongs to both sets, thus the sets are not disjoint.
4) E={even numbers} and F={odd numbers}
We define the even numbers as the ones divisible by 2, while the odd numbers are those that are not divisible by 2. Then by definition, there is no even number that is also odd.
Then we can see that these two sets are disjoints, and this is the correct option.
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Fred spent half of his allowance going to the movies. He washed the family car and earned 6 dollars. What is his weekly allowance if he ended with 16 dollars
Answer:
His weekly allowance is 20 dollars
Step-by-step explanation:
the full equation would be (with x equaling weekly allowance):
(x÷2)+6=16
subtract 6 from each side to get
(x÷2)=10
then multiply each side by 2
x=20
Write and solve an inequality that represents how many $20 bills you can withdraw from the account without going below the minimum balance.
MInimum Balance-$100.00
Current Balance-$320.00
Answer:
100.00-20=80
320.00-20=300
Step-by-step explanation:
175% of what number is 217?
Write an equation to represent a number increase by 4 is 7.
Answer:
x + 4 = 7
Step-by-step explanation:
Is it possible for a number to be a rational number that is not an integer but is a whole number?
Answer:
The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. Every rational number can be written as a fraction a/b, where a and b are integers. If a number is a whole number, for instance, it must also be an integer and a rational.
Step-by-step explanation:
the movie theater offers a VIP member where you pay $75 for the VIP pass and then $4 per movie you see. People without the VIP pass that walk up to the movie theater pays $15 per movie they see
Answer:
so what are you trying to figure out
Step-by-step explanation: