To expand the expression (y + 2)(2y^2 + y + 4), use the distributive property and multiply each term. Combine like terms to simplify the expression.
Explanation:The given expression is (y + 2)(2y^2 + y + 4). To expand this expression, we can use the distributive property. We multiply each term in the first expression (y + 2) by each term in the second expression (2y^2 + y + 4).
Using the distributive property, we get:
(y + 2)(2y^2 + y + 4) = y * 2y^2 + y * y + y * 4 + 2 * 2y^2 + 2 * y + 2 * 4
Simplifying this expression, we get:
2y^3 + y^2 + 4y + 4y^2 + 2y + 8
Combining like terms, we have:
2y^3 + 5y^2 + 6y + 8
Selena bought 5.62 pounds of meat for $3.49 per pound. What is the total cost of the meat
Answer:
$19.61
Step-by-step explanation:
To find how much Selena spent, multiply the amount by the price per pound. She spent 5.62 (3.49) = $19.61.
Which statement is true?
A dilation is a function because every point on the pre-image corresponds to exactly one point on the image.
A dilation is a function because the scale factor is always greater than 1.
A dilation is not a function because a point on the pre-image could be mapped to more than one point on the image.
A dilation is not a function because the image is not congruent to the pre-image.
Answer:
Dilation : The meaning of Dilation is that by taking a fixed center and certain real number we can either enlarge an image or reduce it's size without actually changing it's shape. it totally depends on amount by which we are dilating if it is a real number greater than 1 the size of image increases otherwise shrinks means smaller in size.
The original image is called Pre-image and after dilation that changed image is called image.
So, we can say that Dilation is a function because for each different scale factor or different real number we get different images.
So, Out of all the four options given first looks completely true about Dilation.
i.e A dilation is a function because every point on the pre-image corresponds to exactly one point on the image.
A dilation is a function because every point on the pre-image corresponds to exactly one point on the image. This is the definition of a function in mathematics. The scale factor and the congruity of the image to the pre-image are irrelevant to the classification of dilation as a function.
Explanation:The correct statement is:
A dilation is a function because every point on the pre-image corresponds to exactly one point on the image
. In mathematics, dilation is a transformation that changes the size, but not the shape, of a figure. For a dilation to qualify as a function, each point in the pre-image must correspond to exactly one point in the image, without any point in the pre-image being mapped to more than one point in the image. This is the definition of a function: a relation from a set of inputs (the pre-image) to a set of possible outputs (the image) where each input is related to exactly one output. The scale factor and the congruity of the image to the pre-image have no bearing on whether a dilation is a function or not.
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helppppppppppppppppppppp
I have the picture of the equation.
find (f+g)(x)=
find (f-g)(x)=
find (f·g)(x)=
[tex]f(x)=\dfrac{5x+7}{7x-5},\ g(x)=\dfrac{8x}{7x-5}\\\\(f+g)(x)=f(x)+g(x)=\dfrac{5x+7}{7x-5}+\dfrac{8x}{7x-5}=\dfrac{5x+7+8x}{7x-5}=\dfrac{13x+7}{7x-5}\\\\(f-g)(x)=f(x)-g(x)=\dfrac{5x+7}{7x-5}-\dfrac{8x}{7x-5}=\dfrac{5x+7-8x}{7x-5}=\dfrac{-3x+7}{7x-5}\\\\(f\cdot g)(x)=f(x)\cdot g(x)=\dfrac{5x+7}{7x-5}\cdot\dfrac{8x}{7x-5}=\dfrac{(5x+7)(8x)}{(7x-5)(7x-5)}\\\\=\dfrac{40x^2+56x}{(7x)(7x)+(7x)(-5)+(-5)(7x)+(-5)(-5)}=\dfrac{40x^2+56x}{49x^2-70x+25}[/tex]
How is the number 123,789 written in words?
find the 26 term is a1=30 and d =-2
Answer:
[tex]a_{26}=-20[/tex]
Step-by-step explanation:
The formula of a nth term of an arithmetic sequence:
[tex]a_n=a_1+(n-1)d[/tex]
We have:
[tex]a_1=30,\ d=-2,\ n=26[/tex]
Substitute:
[tex]a_{26}=30+(26-1)(-2)=30+(25)(-2)=30-50=-20[/tex]
How long is the piece of string?
Answer:
C) 14 units
Step-by-step explanation:
The equation is in standard form, so the larger denominator is the square of the semi-major axis. That length is √49 = 7, so the major axis length is 2·7 = 14. This length is the length of the string.
A and B are two events.
Let P(A)=0.5 , P(B)=0.25 , and P(A and B)=0.15 .
Which statement is true?
A and B are not independent events because P(A|B)≠P(A) .
A and B are not independent events because P(A|B)=P(A) and P(B|A)=P(B) .
A and B are independent events because P(A|B)=P(B) and P(B|A)=P(A) .
A and B are not independent events because P(A|B)=P(B) and P(B|A)=P(A) .
Answer:
A and B are not independent events because P(A|B)≠P(A)
is the correct answer.
Step-by-step explanation:
If A and B are independent then we must have
P(AB) = P(A) P(B) and also
P(A/B) = P(A)
We are given that
A and B are two events.
Let P(A)=0.5 , P(B)=0.25 , and P(A and B)=0.15 .
P(A/B) = P(AB)/P(B) = 0.15/0.5 = 0.3
i.e. P(A/B) is not equal P(A)
Similarly P(B/A) = P(AB)/P(A) = 0.15/0.25 = 0.6 not equal to P(B)
Hence A and B are not independent.
Answer:
Step-by-step explanation:
A and B are not independent events because P(A|B)≠P(A)
is the correct answer.
Find the sum of the polynomials (5y^3+2y^2-7y) + (12y^3-4y^2+8)
[tex](5y^3+2y^2-7y) + (12y^3-4y^2+8)\\\\=5y^3+2y^2-7y+12y^3-4y^2+8\\\\=(5y^3+12y^3)+(2y^2-4y^2)+(-7y)+(8)\\\\=17y^3-2y^2-7y+8[/tex]
A single person earns a gross biweekly salary of $840 and claims 5 exemptions. What is the person's net pay. a. It is the same as the gross pay. b. It is $11 more than the gross pay. c. It is $11 less than the gross pay. d. It is $13 less than the gross pay.
Answer:
D. It is $13 less than the gross pay.
Step-by-step explanation:
To find the net pay, you have to look at the table h
We are given that table.
Step 1: Biweekly gross salary is $840 and the number of claimed is 5.
Step 2: Look for claimed number to the corresponding wage $840. It is 13, which is rounded by blue circle in the given table.
Thank you.
Answer:
D. It is $13 less than the gross pay.
Step-by-step explanation:
To find the net pay, you have to look at the table h
We are given that table.
Step 1: Biweekly gross salary is $840 and the number of claimed is 5.
Step 2: Look for claimed number to the corresponding wage $840. It is 13, which is rounded by blue circle in the given table.
Thank you.
i copied the other dued lol
Kevin is riding his bicycle. He takes 6 hours to ride 38.4 kilometers. What is his speed?
speed = 6.4 Km per hour
speed = [tex]\frac{distance}{time}[/tex] = [tex]\frac{38.4}{6}[/tex] = 6.4 Km per hour
Choose the equation that is modeled by the graph below: y=−1x y=−1x−4 y=−14x−1 y=−4x−1 its on ramp
Answer:
?? separate the equation more because i don't understand
Step-by-step explanation:
Which of the following is the simplified form of the expression -x(x - y) + 4xy - x2?
A.2x2 - 3xy
B.-2x2 + 3xy
C.-2x2 + 5xy
D.2x2- 5xy
Which statement is false?
A. The number zero is a rational number.
B. Some irrational numbers are also rational numbers.
C. Every irrational number is a real number.
D. Every integer is a rational number.
Need answers ASAP, Thanks!
The false statement is B: 'Some irrational numbers are also rational numbers.' This is incorrect because a number cannot be both rational and irrational by definition.
The false statement among the options provided is option B: Some irrational numbers are also rational numbers. This is false because by definition, irrational numbers and rational numbers are distinct sets of numbers with no overlap. A rational number can be written as a ratio of two integers, which means it can be expressed as a fraction. On the other hand, an irrational number cannot be written as a ratio of integers. Thus, a number cannot be both rational and irrational at the same time.
To clarify the other options, option A is true because zero can be represented as the ratio 0/1, making it a rational number. Option C is true because irrational numbers such as π (pi) and √2 (the square root of 2) are indeed part of the set of real numbers. Option D is true because all integers can be expressed as a ratio where the denominator is 1, making every integer a rational number.
BEST ANSWER GET TO BE BRAINLYEST+85 pts
Estimate the perimeter of the figure. The length of one side of each square represents 1 yd.
about 10 yd
about 20 yd
about 25 yd
about 15 yd
Answer:
it is about 15 yd
Step-by-step explanation:
add the squares. about 15 squares. Just got this correct
Expand the expression (5x + 3)2, and write the result in standard form.
A.
25x2 + 9
B.
25x2 + 15x + 9
C.
25x2 + 24
D.
25x2 + 30x + 9
[tex](5x+3)^2\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=(5x)^2+2(5x)(3)+3^2\\\\=5^2x^2+30x+9\\\\=25x^2+30x+9\to D.[/tex]
Answer:
option D is correct
The result in standard form is,
[tex]25x^2+30x+9[/tex]
Step-by-step explanation:
The standard form of the equation is given by:
[tex]y = Ax^2+Bx+C[/tex] where, A, B and C are the coefficient and x is the variable.
Using the identity rule:
[tex](a+b)^2 = a^2+2ab+b^2[/tex]
Expand the expression:
[tex](5x+3)^2[/tex]
Apply the identity rule:
[tex](5x)^2+2(5x)(3)+3^2[/tex]
⇒[tex]25x^2+30x+9[/tex]
The result in standard form is, [tex]25x^2+30x+9[/tex]
Therefore, the result in standard form is, [tex]25x^2+30x+9[/tex]
Write the perimeter of the floor plan shown as an algebraic expression in x.
Answer:
Perimeter = 2x + 64
Step-by-step explanation:
Perimeter = Sum of the lengths of the borders
From the given figure, we need to find the missing length.
Missing length = 18 - 10 = 8
Another missing length = (x + 14) - (x + 8) = x + 14 - x - 8
= 14 -8
= 6
Now let's add all the sides.
Perimeter = x + 14 + 8 + 6 + 10 + x + 8 + 18
Now add all the x terms and constants
Perimeter = 2x + 64
Suppose they spent $74.95 for 5 bags. How much does one bag cost?
Ryo accidentally ordered 240% percent as many eggs as his restaurant needs. What fraction of the number of eggs his restaurant needs did Ryo order?
Answer:
Ryo ordered [tex]\frac{12}{5}[/tex] of the number of eggs his restaurant needs.
Step-by-step explanation:
Suppose, the number of eggs his restaurant needs is [tex]x[/tex]
Ryo ordered 240% as many eggs as his restaurant needs. So, the number of eggs he ordered [tex]= x\times 240\% = x\times \frac{240}{100}= 2.4x[/tex]
For finding the fraction of the number of eggs his restaurant needs, we just need to divide "number of eggs ordered" by the "number of eggs needed".
So, the fraction will be: [tex]\frac{2.4x}{x}= 2.4 = \frac{24}{10}= \frac{12}{5}[/tex]
That means, Ryo ordered [tex]\frac{12}{5}[/tex] of the number of eggs his restaurant needs.
Ryo ordered 12/5 of the number of eggs his restaurant needs.
Given that Ryo accidentally ordered 240% percent as many eggs as his restaurant needs, to determine what fraction of the number of eggs his restaurant needs did Ryo order, the following calculation must be performed:
240/100 = X 10/24 = X 12/5 = X
Therefore, Ryo ordered 12/5 of the number of eggs his restaurant needs.
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Your mother bought a three-liter bottle of water. When she got home, she discovered a small leak in the bottom and asked you to find a container to transfer the water into. All you could find were two half-gallon jugs.Will all the containers hold all of the water.
Answer: YES
Step-by-step explanation:
Convert liters to gallons. Need to show 2 half gallons ≥ 3 liters
[tex]\frac{3(liters)}{} * \frac{1(gallon)}{3.785(liters)} = 0.7926 gallons[/tex]
[tex]2*\frac{1}{2} gallons = 1 gallon[/tex]
2 half gallons ≥ 3 liters
1 gallon ≥ 0.7926 gallons
TRUE
Check all of the polynomial functions that have 2 as a root.
A. h(m) = 8 – m^3
B. f(g) = g^3 – 2g^2 + g
C. f(a) = a^3 – 4a^2 + a + 6
D. f(x) = x^3 – x^2 – 4
A,C,D those were the answers i put and they were correct.
Answer:
A. h(m) = 27 – m3
C. f(a) = a3 – 4a2 + a + 6
D. f(x) = 2x3 – 5x2 – 9
Step-by-step explanation:
did review on edg2020
6. Mike and his best friend Dan have the same birthday, but Mike is three years older than Dan. Let the variable x represent Mike's age and y represent Dan's age. Which graph represents the relationship between Dan's age and Mike's age?
also can anyone tell me all the answers for Solving Equations Unit Test please I really need the help.
Answer:
A linear graph will be plotted to show the relation between ages of Mike and Dan.
Step-by-step explanation:
As the age of Mike increase, the age of Dan will also increase. There is a relation of direct proportionality and a linear graph line will be plotted. When x=3, y=0, therefore the line will be at a distance of 3 x-intercept from origin.
A music store sold 300cds and 100cd players. If each cd cost $12 and each cd player cost $35, what was the store total earnings
So with what we know we can set up two equations to solve for the CDs and the players.
$12(300) = total earnings for cds
= $3600 total cds sold
$35(100) = total earnings for cd players
=$35000
add both of the totals of the CDs and the CD players to get the total earnings
$3600+$3500 = $7100 gained in total from both products sold
30 points + Brainliest
Your answer is A. If we find the slope of the line and draw it out farther, we can see that the points 4,7,10, and 13 would fall on that line.
Answer:
The answer is A. Hope I helped ^-^
Step-by-step explanation:
The local bakery uses 17.5 cups of flour in each batch of cookies the bakery you 5.25 cups of flour this morning if there are five dozen cookies in each bag how many cookies did the bakery make?
Please hel 15 points!
parent graph: f(x) = |x|
shifted 6 units down: f(x) = |x| - 6
then shifted 4 units to the right: f(x) = |x - 4| - 6
then vertically stretched by 2: f(x) = 2|x - 4| - 6
This means the vertex (0, 0) has moved to (4, -6) and the slope is 2
**************************************************************************************
f(x) = |x| f(x) = 2|x - 4| - 6
x y x y new coordinate
-2 2 -2 + 4 = 2 2(2) - 6 = -2 (2, -2)
-1 1 -1 + 4 = 3 1(2) - 6 = -4 (3, -4)
0 0 vertex 0 + 4 = 4 0(2) - 6 = -6 vertex (4, -6)
1 1 1 + 4 = 5 1(2) - 6 = -4 (5, -4)
2 2 2 + 4 = 6 2(2) - 6 = -2 (6, -2)
Plot the NEW COORDINATES for the transformed graph.
60 POINTS
Does the following table show a proportional relationship between the variables g and h?
No I don't believe so, a proportional relation ship would be h= g x 3. So I believe it would be g3=h9 g6=h18 g9=h27. So that when you divide h by 3 it will always equal g. I hope this helped and wasn't too confusing.
The relationship between these 2 g and h is that h=gxg but that is not really constant with it, I hope that helps
HELP PLEASE LOTS OF POINTS
p: 1 is the multiplicative identity
q: a · 0 = a
Which of the following statements is true?
p \/ q
p /\ q
p --> q
We are given
p: 1 is the multiplicative identity
Firstly, we will verify whether it is true
Multiplicative identity:
[tex]A \cdot 1=A[/tex]
Here , 1 is the multiplicative identity
So, 1 is multiplicative identity
so, statement p is true
q: a · 0 = a
we know that whenever we multiply any expression by 0
It will result in 0
so, this statement is false
now, we will verify each options
option-A:
p \/ q
so, we can plug
T \/ F = T
so, this is TRUE
option-B:
p /\ q
so, we can plug
T /\ F = F
so, this is FALSE
option-C:
p --> q
we can plug
T-->F = F
so, this is FALSE
The statements p \/ q (p OR q) is true since the proposition p is true and hence the whole OR operation is true, p /\ q (p AND q) and p --> q (p implies q) are false since the proposition q is false.
Explanation:The given propositions are "p: 1 is the multiplicative identity" and q: a · 0 = a. Let's analyze each proposed relation among them:
p \/ q (p OR q): This is false. While p is true (since any number multiplied by 1 gives the same number), q is false (any number multiplied by 0 gives 0, not a). However, in an OR operation, if one statement is true, the whole statement is true. Hence, p \/ q is truep /\ q (p AND q): This is false. While p is true, q is false as explained earlier. In an AND operation both statements must be true for the whole statement to be true. Hence, p /\ q is falsep --> q (p implies q): This is false. In implication, if p is true, then q must be true. But here, although p is true, q is false. Therefore, p --> q is falseLearn more about Logical Operations here:https://brainly.com/question/13092292
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The temperature changed from -7 degrees f at 6:00 am to 7 degrees f at noon write an expression. How much did the temperature increase?
I just need it to be written in an expression and then simplified
The temperature increase can be represented by the expression 7°F + 7°F, which simplifies to 14°F.
Explanation:The expression to represent the temperature increase from -7 degrees Fahrenheit at 6:00 am to 7 degrees Fahrenheit at noon is as follows:
Temperature increase = Final temperature - Initial temperature
Substituting the values, we get:
Temperature increase = 7°F - (-7°F)
Simplifying, we have:
Temperature increase = 7°F + 7°F
Temperature increase = 14°F
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Deon plans to ride a 15-mi bicycle trail. If his average is 20mi/h, with equation can he use to find the time T, in hours, for the ride ?
Distance traveled by Deon to ride a bicycle trail = 15 mile
Average speed of Deon to ride a bicycle trail = 20 mi/hour
Let 'T' be the time taken to ride the bicycle trail.
We will use distance speed formula to write the equation to find the time 'T' in hours, for the ride.
Distance =[tex]\frac{Speed}{time}[/tex]
[tex]15 = \frac{20}{T}[/tex]
So, [tex]T = \frac{20}{15}[/tex]
This equation will be used to find the time 'T' in hours for the ride.