Answer:
[tex]\boxed{\sf{3y^2-y-2}}[/tex]Step-by-step explanation:
Given:
Isolate the term of y from one side of the equation.
(3y+2)(y-1)
Use the foil method.
[tex]\underline{\text{FOIL METHOD:}}[/tex]
[tex]\Longrightarrow: \sf{\left(A+B\right)\left(C+D\right)=AC+AD+BC+BD}[/tex]
(3y+2)(y-1)=3yy+3y(-1)+2y+2(-1)
Solve.
[tex]\sf{3yy=3y^2}\\\\\\\sf{3y(-1)=-3y}\\\\\\\sf{2(-1)=-2}[/tex]
[tex]\sf{3y^2-3y+2y-2}[/tex]
Add or subtract the numbers from left to right.
Solutions:
[tex]\sf{-3y+2y=-y}[/tex]
[tex]\Longrightarrow: \boxed{\sf{3y^2-y-2}}[/tex]
Therefore, the correct answer is 3y²-y-2.I hope this helps. Let me know if you have any questions.
Answer:
3y^2-y-2
Step-by-step explanation:
(3y+2)(y–1)
Use the FOIL method
First 3y * y = 3y^2
outer 3y * -1 = -3y
inner 2 * y = 2y
last 2 * -1 = -2
Add them together
3y^2 -3y +2y -2
Combine like term
3y^2-y-2
A taxi driver drove 30 miles on Monday, 50 miles on Tuesday, 60 miles on Wednesday, 70 miles on Thursday, and 90 miles on Friday. The average number of miles he drove per day was ___
Answer: 60
Step-by-step explanation: 30+ 50 + 60 + 70 + 90 = 300
Divide by 5
simplify
(1/4 + 5/2) -2
please show step by step
Answer:
3/4
Step-by-step explanation:
1/4+5/2=1/4+10/4=11/4=2 3/4-2=3/4
Solve the equation:
4(x-2)=3x-6
Answer:
The answer is X =2
Step-by-step explanation:
How are similar triangles related to each other?
Answer:
The corresponding angles are congruent. The corresponding sides all have the same ratio.
Step-by-step explanation:
Congruent means the angles are equal to each other. There are three pairs of angles. "Matching angles" (not a mathematical term) will be the same/equal/congruent.
The sides would only be same/equal/congruent if the triangles were congruent. For similar triangles, you can find a ratio of sides like big/little or little/big and if you set up the ratios of the matching sides, the ratio will be the same for all three pairs of sides. See image for example.
Tori received a $20 gift card for school supplies. Paper is $5 per pack and notebooks are $3 each. If Tori purchases 1 pack of paper. How many notebooks is Tori able to purchase?
Answer:
5
Step-by-step explanation:
After buying the Paper Tori is left with $15.
Since each notebook costs $3, 15 / 3 = 5 so she can buy 5 notebooks.
Answer:
5 notebooks. she bought one paper for 5$, meaning she is left with 15$ because 20-5=15. now that we have 15, we need to divide it by three, because notebooks are 3$ each, leaving us with 5 notebooks.
Step-by-step explanation:
what adds to make 16 but multiplies to make 63
Answer:
9 and 7
Step-by-step explanation:
[tex]9+7=16[/tex]
[tex]9*7=63[/tex]
Select the correct answer.
Ron coaches a baseball team. There are three innings left the game, and the team is losing by four runs. Ron is trying to decide whether to
replace the pitcher or keep the pitcher in for another inning. In the past, when losing by four runs, he nas replaced the pitcher total of 14 times
and kept the pitcher in a total of 10 times. The table shows the results of those decisions at the end of nine innings.
Replaced pitcher
Kept pitcher
Won game
8
4
Lost game
5
Tied game
2
Total
14
10
Based on the information in the table, if the goal is to win the game in nine innings, should Ron replace the pitcher or keep the pitcher in?
O A. Ron replacing or not replacing the pitcher has no advantage.
O B, Ron should replace the pitcher with a relief pitcher.
O c. There is not enough information to determine if Ron should replace the pitcher or not.
Using proportions, it is found that the correct option is given by:
B Ron should replace the pitcher with a relief pitcher.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, when Ron replaced the pitcher, the team won 8 out of 14 games, hence the proportion of wins is:
pR = 8/14 = 0.5714.
When Ron kept the pitcher, the team won 4 out of 10 games, hence the proportion of wins is:
pK = 4/10 = 0.4.
Since pR > pK, option B is correct.
More can be learned about proportions at https://brainly.com/question/24372153
Find the slope of the line.
On a coordinate plane, a line goes through (0, negative 7) and (7, 0).
a.
Negative 7
c.
Negative 1
b.
7
d.
1
Calculations ↓
When we have two points that a line passes through and asked to determine the slope of the line, the slope formula is going to come in handy.
This is the formula :
[tex]\boxed{\\\begin{minipage}{3cm}slope~formula~: \\ $\displaystyle\frac{y2-y1}{x2-x1}$ \\ \end{minipage}}[/tex]
y2 and y1 are y-coordinates, and x2 and x1 are x coordinates
Plug in the values :
[tex]\boxed{\\\begin{minipage}{3cm}$\displaystyle\frac{0-(-7)}{7-0} $\end{minipage}}[/tex]
[tex]\boxed{\\\begin{minipage}{3cm}$\displaystyle\frac{0+7}{7} \end{minipage}}[/tex]
Which simplifies to [tex]^7/_7[/tex], or 1
Slope ↓1 (Option D.)
hope helpful ~
The perimeter of a triangle is 104 units. The combined length of two of the sides of the triangle is 64 units. What is the length of the third side of the triangle in units? A 168 units B 6,656 units C 40 units D 1.625 units
Answer:
40<x<168
Step-by-step explanation:
11
In the equations below, x is the independent variable, and y is the dependent variable
Equation Number
1
2.
Equation
4y = 3x
8y = 5x
= 6x
5y = 8x
3
8y =
4.
Which two equations have the same constant of proportionality?
А 2 and 4
B
2 and 3
с
1 and 3
D
1 and 2
Using a proportional relationship, it is found that the two equations that have the same constant of proportionality are givn by:
с 1 and 3
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
In this problem, the functions and constants are given as follows:
1. 4y = 3x -> k = 3/4.2. 8y = 5x -> k = 5/8.3. 8y = 6x -> k = 6/8 = 3/4.4. 5y = 8x -> k = 8.5.Equations 1 and 3 have the same constants, hence option c is correct.
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Sam is ordering shirts online. The shipping is a flat rate of $5.99, and each shirts costs $12.50. He spent $80.99 in total. How many shirts did he order
Based on the shipping rate and the price of the t-shirts, it can be concluded Sam ordered a total of 6 t-shirts.
What equation represents Sam's situation?5.99 + x12.50 = 80.99
x represents the number of t-shirts she bough, which is the focus of the equation.
Let's solve it:
5.99 + x12.50 = 80.99x12.50 = 80.99 - 5.99x12.50 = 75x = 75 / 12.50x = 6How many t-shirts did Sam order?Sam ordered 6 t-shirts.
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Find the area of each shaded region.
A naval engineer uses the function, P. to analyze the effects of water pressure on submarines. The
function P(d) measures the pressure exerted by water, where d represents the depth of water in
meters. Which of the following would be a possible domain?
Answer:
The domain of a function is the possible input values, the function can take.
The possible domain is:
The domain of the function is the set of possible values of d.
Because d represents the depth of water,
The starting value can take any value, less than 0
But the end value must be 0 (i.e. the surface of water)
This means that, the domain of the function will be from negative infinity to 0
Hence, the domain is (-infinity, 0}
Step-by-step explanation:
PLEASE HELP I NEED THIS ASAP w/ explanation if you can
(will give brainliest)
EMERGEBCY I NEED TBIS BRO LIKE IN 5 MINHTES DUDE
Answer:
Below in bold.
Step-by-step explanation:
The defender is at (x) = 35 yards
So height y = (-1/40)35^2 + 35 + 6 = 10.375 ft
So as he only jumps to 9 feet he will not prevent the catch
Principal Howard ordered 116 shirts from the Brand Blast custom clothing shop for his
staff members to wear during the school's spirit week. Since this was a bulk order, Brand
Blast reduced the price of each shirt by $5. Principal Howard paid $928 in all. How much does
Brand Blast normally charge for a shirt?
The Brand Blast normally charges a shirt is $13 if the Blast reduced the price of each shirt by $5 principal Howard paid $928 in all.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
Let's suppose the normally Blast charge $x for each shirt
So according to the problem:
116(x-5) = 928
x = $13
Thus, the Brand Blast normally charges a shirt is $13 if the Blast reduced the price of each shirt by $5 principal Howard paid $928 in all.
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A yard cleanup service charges a $345 fee plus $16.25 per hour. Another cleanup service charges a $213 fee plus $24.50 per hour. How long is a job for which the two companies' costs are the same?
The time for the job for which the two company are the same is 16
How to form the equation and find the cost?
A yard cleanup service charges a $345 fee plus $16.25 per hour. Therefore,
using linear equation,
y = mx + c
where
y = total costx = timeTherefore,
y = 345 + 16.25x
Another cleanup service charges a $213 fee plus $24.50 per hour. Therefore,
y = 213 + 24.50x
Hence, the time when both cost are the same is as follows;
213 + 24.50x = 345 + 16.25x
213 - 345 = 16.25x - 24.50x
-132 = -8.25x
x = 132 / 8.25
x = 16
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slide 1) Write an equation in point slope form that passes through the point (1,8) & slope of -3 y-y,=m(x-x₁) 2) Write the equation in slope intercept form.
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{8})\qquad \qquad \stackrel{slope}{m}\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{-3}(x-\stackrel{x_1}{1}) \\\\\\ y-8 = -3x+3\implies y=-3x+11[/tex]
Can anyone give me the awnser to this?
Answer:
310.5 mg
Step-by-step explanation:
The amount per pound would be
156 mg / 104 lb then multiply this by the pounds of the second pt
156 mg /104 pound * 207 pound = ~ 310.5 mg
Find the ratio:
156mm / 104lbs = 1.5mm per pound
207mm /1.5mm per lb = 138 pounds
answer: 138 pounds
Solve for the missing angle measure
Answer choices
50
120
70
60
Answer:
70 degrees
Step-by-step explanation:
120 + angle V = 180 V = 60
60 + 50 + ? = 180
? = 70
8. A computer application generates a sequence of musical notes using the function f(n) 6(16)", where n is the
number of the note in the sequence and f(n) is the note frequency in hertz. Which function will generate the same
note sequence as fon)?
A g(n) = 12(2)
B. H(n) – 6(2) n
C. P(n) = 12(4)2n
Dk(n) = 6(8)an
Applying an exponential property, it is found that the function that will generate the same note sequence as function f(n) is given by:
B. [tex]H(n) = 6(2)^{4n}[/tex]
What is function for the note sequence?The function for the node sequence is defined by:
[tex]f(n) = 6(16)^n[/tex]
A function that will the same note sequence as function f(n) has the same initial value of 6. Additionally, applying an exponential property, we have that:
[tex]H(n) = 6(2)^{4n} = 6(2^4)^n = 6(16)^n[/tex]
Hence option B is correct.
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what is the midpoint of C(5,3 and D(-3,-6)
Answer:
Step-by-step explanation:
Midpoints of two coordinates is expressed using the formula;
M(X, Y) = (x2+x1/2, y2+y1/2)
Given the coordinates c(5,3) and d(-3,-6)
x1 = 5, y1 = 3, x2 = -3 and y2 = -6
X = x1+x2/2
X = 5+(-3)/3
X = 5-3/2
X = 2/2
X = 1
Also;
Y = y1+y2/2
Y = 3+(-6)/2
Y = 3-6/2
Y = -3/2
Y = -1.5
The stem and leaf plot represents a set of data
Answer:
you can do 97 - 2 which is 95, that's the range
There are 27 open spots to compete in the fishing tournament. If each boat can hold 5 people, how many boats are needed to hold all 27 competitors during the tournament?
Identify the volume of the composite figure rounded to the nearest tenth.
Answer:
(c) 115.2 ft³
Step-by-step explanation:
The volume of a composite figure can be found by decomposing it into figures whose volumes are easy to compute. Here, the figure can be nicely represented as a cube and a square pyramid.
__
CubeThe volume of the cube on the left is given by ...
V = s³
V = (4.2 ft)³ = 74.088 ft³
__
PyramidThe volume of the pyramid on the right is given by ...
V = 1/3Bh . . . . . where B is the area of the square base
V = 1/3(s²)h = (4.2 ft)²(7 ft) = 41.16 ft³
__
TotalThe volume of the composite figure is the sum of these volumes:
cube volume + pyramid volume = 74.088 ft³ +41.16 ft³ = 115.248 ft³
The volume of the composite figure is about 115.2 ft³.
help me with this pleaseee…!
Answer:
All real numbers
Step-by-step explanation:
We can start out by knowing that the domain of a graph is, the side, to side from the x axis directions.
We can see that the line continues of the graph shown, meaning it is infinite. Meaning the answer is the domain is all real numbers.
We can double check by seeing that the other options don't work or aren't enough:
[tex]x\geq 2\\and\\x\leq 2\\and\\x\geq -4[/tex]
The first wouldn't work becuase, yes that is part of the answer, but not the whole answer. The same goes for the others as well, they are on the line and are correct, but the best, and full answer is "All real numbers"
Please Helppppppppppp
Step-by-step explanation:
[tex](6 + 5 + 5) \times 7 = 112[/tex]
4. Find the measures of the acute angles of a right triangle whose legs are 9 cm and 16 cm long.
Answer:
Apply tan x=9/16 and tan y=16/9 to get the two angles x and y, and you'll receive the solution.
Students have been assigned to read a book that is 150 pages. Every student reads at a different speed. If a student read the book in 5 days, on average, how many pages did they read every day? (I just found the answer. 150 ÷ 5 = 30. 30 is the answer)
Answer:
30
Step-by-step explanation:
You just have to do 150 divided by 5 because you are trying to find out how many pages per day that student read.
The student read 30 pages in one day.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Total Pages in a book = 150 pages
Number of days book completed= 5 days
so, each day the student read
= 150/ 5
= 30 pages
Hence, the average rate is 30 pages in one day.
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WILL GIVE BRAINLIEST TO WHOEVER CAN SOLVE THIS CORRECTLY
Answer:
C ∪ D = (-∞, 2] ∪ (7, ∞)
C ∩ D = Ø (empty)
Step-by-step explanation:
C ∪ D: The union of two sets or intervals is the set of elements which are in either set.
C ∩ D: The intersection of two sets or intervals is the set of elements which are in both sets.
Interval notation symbols
Square brackets [ ]: both endpoints are included in the set.
Round brackets ( ): both endpoints are excluded in the set.
Round, square ( ]: left endpoint is excluded and right endpoint is included in the set.
Square, round [ ): left endpoint is included and right endpoint is excluded in the set.
Given:
C = {x | x ≤ 2} D = {x | x > 7}Therefore,
C = (-∞, 2]D = (7, ∞)Therefore, C ∪ D = (-∞, 2] ∪ (7, ∞)
As x is either equal to or less than 2, or greater than x, there are no elements which are in both sets.
Therefore, C ∩ D = Ø (empty)