\(\text{=>9(3y+7)-2=3(-9y+9)}\\\)
\(\text{=>27y +63 -2 = -27y +27}\\\)
\(\text{=>27y +63 -2+27y -27 =0}\\\)
\(\text{=>54 y +34 =0}\\\)
\(\text{=>54y =-34}\\\)
\(\text{=>y = -34/54}\\\)
Answer:
Step-by-step explanation:
9(3y+7)-2=3(-9y+9)
27y+63-2= -27y+27
27y+61=27y+27
54y= -34
y= -34/54
y= -17/27
Triangle ABC has vertices at A(−3, 3), B(0, 7), and C(−3, 0). Determine the coordinates of the vertices for the image if the preimage is translated 3 units up.
A′(−3, 0), B′(0, 4), C′(−3, −3)
A′(−3, 6), B′(0, 10), C′(−3, 3)
A′(−6, 3), B′(−3, 7), C′(0, 0)
A′(0, 3), B′(3, 5), C′(0, 0)
Answer:
To translate triangle ABC 3 units up, we need to add 3 to the y-coordinate of each vertex:
A' = (-3, 3 + 3) = (-3, 6)
B' = (0, 7 + 3) = (0, 10)
C' = (-3, 0 + 3) = (-3, 3)
Therefore, the coordinates of the vertices for the image triangle A'B'C' are A'(-3, 6), B'(0, 10), and C'(-3, 3).
So the correct answer is: A′(−3, 6), B′(0, 10), C′(−3, 3).
Find the y-intercept and x-intercept of the line. 5x-8y=14
Answer:
x-intercept = 14/5
y-intercept = 7/4
Step-by-step explanation:
To find the value of an intercept (x/y) of an equation like this, simply set the other variable to 0 and divide both sides by the coefficient of the variable you're trying to find.
Please help me with this I really need it my grades are trash. Look at the file attached. just tell me which ones are equivalent thanks!
Answer:
Top left, top right, bottom right
Step-by-step explanation:
Combine all of them together. I'll use the top left and middle left as my example. We will need to end up with 2 positive x's, 5 negative y's and the number 3.
x + x - y + 1 + 1 + 1 - y - y - y -y
We can see here there are 2 positive x's, 5 negative y's, and the number 3.
If we were to write that into an equation it would be 2x - 5y +3
With the middle left we have
-5y - x -x + 2 + 1
Here we have 2 negative x's, 5 negative y's, and the number 3.
If this were simplified it would be -2x - 5y + 3. We don't want the 2x to be negative therefore it is incorrect.
What is the least common multiple of 2, 5, and 10?
Submit Answer
Answer:
10
Step-by-step explanation:
The least common multiple is the smallest number that all 3 numbers will multiply properly to. In this case it is 10, because it is a multiple of all three of the numbers (2x5, 5x2, 10x1) and is the smallest as it cannot go below the largest number (10)
Hope this helped!
Answer:
10
Step-by-step explanation:
The least common multiple 10 is a product of common & odd prime factors between the integers which is divisible by each one an integer of this same group.
April buys soil for her flowerpots. she uses 9 kilograms of soil for her violets and 4 kilograms of soil for her tulips. she has 3,000 grams of soil left for some daisies (1 kilogram = 1,000 grams) use the drop down menus to show how much soil she bought
April bought 16 kilograms of soil in total.
To show how much soil April bought
We need to add the amounts of soil she used for her violets and tulips. Since April used kilograms for violets and tulips, we need to convert the 3,000 grams to kilograms before we can add them up.
April bought:
9 kilograms of soil for violets
4 kilograms of soil for tulips
3 kilograms of soil for daisies (since 3,000 grams is 3 kilograms)
Therefore, April bought 16 kilograms of soil in total.
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3(2x + 5) = -7(2x -10) + 5
Answer:
3
Step-by-step explanation:
3
(
2
+
5
)
=
−
7
(
2
−
1
0
)
+
5
{\color{#c92786}{3(2x+5)}}=-7(2x-10)+5
3(2x+5)=−7(2x−10)+5
6
+
1
5
=
−
7
(
2
−
1
0
)
+
5
⁺˚*・༓☾✧.* ☽༓・*˚⁺‧
\(\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}\)
\(3(2x + 5) = - 7(2x - 10) + 5 \\ 6x + 15 = - 14x + 70 + 5 \\ 6x + 14x = 70 + 5 - 15 \\ 20x = 75 - 15 \\ 20x = 60 \\ x = \frac{60}{20} \\ x = 3\)
⁺˚*・༓☾✧.* ☽༓・*˚⁺‧
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
find the least cube exactly divisible by 4 and 6
Describe the transformations of the following equation:
Captionless Image
reflect over x-axis, left 2, up 2
reflect over y-axis, left 2, up 2
left 2, up 2
reflect over x-axis, right 2, up 2
The true statement for the function p(x) is p(-2) and p(0) cannot be compared as p(0) is undefined. Option D is correct.
The given function is a logarithmic function and it is undefined at x = 0.
First, let us understand the logarithmic function:
A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.
We are given:
p(x) = log 5x
substitute x = 0 in the above equation, we will get;
p(0) = log 5 × 0
p(0) = log 0
p(0) = undefined
Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.
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Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.
Captionless Image
p(-2) > p(0)
p(-2) < p(0)
p(-2) and p(0) cannot be compared because p(-2) is undefined.
p(-2) and p(0) cannot be compared because p(0) is undefined.
What is the value of x in the equation below? 5x - 35 = 40
Answer
x = 15
Explanation
We need the value of x in the equation
5x - 35 = 40
Add 35 to both sides
5x - 35 + 35 = 40 + 35
5x = 75
Divide both sides by 5
(5x/5) = (75/5)
x = 15
Hope this Helps!!!
value of x
the equation is 5x - 35 = 40
so if we take - 35 to the right-hand side
5x = 40 + 35 ( signs will change when we took them from one side to another side as + will become - or vise versa and × will become ÷ or vise versa)
SO 5X = 75
THEN WE TOOK 5 TO THE RIGHT-HAND SIDE
SO X = 75 ÷ 5
ANSWER WILL BE
X = 15
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melinda is practicing her penalty kicks. She took 40 shots and only missed 8. Based on the data,how many kicks will she make if she takes 60 shots
Answer:
48 kicks
Step-by-step explanation:
If she shoots 40 times and misses 8, we can create a ratio to represent the number of total shots to the number of misses:
40/8 = 60/x X represents the amount she will miss if she takes 60 shots.
We can find the value of x by using cross multiplication:
480 = 40x. We can now isolate x by dividing both sides by 40:
X = 12.
Melinda will miss 12 out of 60 shots.
She will make 48 kicks.
What fractional parts is this ruler divided into?
1. Fourteenths
2.sixteenths
3. Twentieths
4. Twelfths
The fractional part in which this ruler is divided is, sixteenths. So option B is correct.
What is a fraction?Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.
Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.
Given that,
A ruler,
In which, 1 unit length is further sub-divided into 16 parts,
1 unit = 16 sub units
So, this division of ruler can be written in the form of fraction number as,
⇒ 1/16
Hence, the fraction part is sixteenths
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Can anyone help please. Please show work too
The solutions to the system of equations are x = 2 and 4
How to determine the solution to the system of equationsFrom the question, we have the following parameters that can be used in our computation:
f(x) = x - 3
g(x) = 1/(x - 3)
The solution to the system of equations implies that
f(x) = g(x)
So, we have
x - 3 = 1/(x - 3)
Cross multiply the equation
This gives
(x - 3)² = 1
So, we have
x - 3 = ±1
Add 3 to both sides
x = 3 ± 1
So, we have
x = 2 and 4
Hence, the solutions to the system of equations are x = 2 and 4
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The nth term of a sequence is 45 - 4n
Work out the first three terms.
Answer:
\(41,37 ,33\)
Step-by-step explanation:
\(\text{Nth term} = 45-4n\\\\\text{1st term} = 45 - 4 \cdot 1 = 45 - 4 = 41\\\\\text{2nd term} = 45- 4 \cdot 2 = 45 -8 = 37\\\\\text{3rd term} = 45 -4\cdot 2 = 45 - 12 = 33\\\\\text{Hence, the first three terms are:}~ 41,37 ,33\)
Answer: 41, 37, 33
Step-by-step explanation:
first term is when n = 1
45- (4 x 1)= 41
second term is when n = 2
45- (4 x2) = 37
third term is when n = 3
45- (4 x3) =33
two integers, a and b, have different signs. the absolute value of inter a is divisible by the absolute value of integer b. Find two integers that fit this description. Then decide if the product of the integers is greater than or less than the quotient of the integers.
Two numbers that meet the condition are a = -10 and b = 2, and the quotient between these is larger than the product.
How to find two integers that fit the description?
We have two numbers a and b with different sign.
Let's say that a is negative and b positive.
We know that the absolute value of a is divisible by the absolute value of b.
|a|/|b|
Then we have that |a| ≥ |b|
An example of two numbers that meet these conditions are:
a = -10
b = 2
Where:
|-10|/|2| = 10/2 = 5
Now, the product between the integers will give a large negative number, in this case:
-10*2 = 20
and the quotient will give a smaller, in absolute value, negative number:
-10/2 = -5
Then we can see that the quotient is larger (as both are negative numbers, and the quotient is closer to zero).
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help me please !!!
thank youuu
The range of values that can be plugged into a function is known as its domain. In a function like f, this set represents the x values (x). The collection of values that a function can take on is known as its range.
Where can I find a fraction's domain?By factoring the numerator and denominator and setting them both to zero, the domain of a fraction function can be determined. The domain's values are the roots of the ensuing equation. Using the algebraic method of factoring is another method for determining the domain of a fraction function.
The range of values that can be plugged into a function is known as its domain. In a function like f, this set represents the x values (x). The collection of values that a function can take on is known as its range. The values that the function outputs when we enter an x value are in this set.
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hi, I need help with my trigonometry hw. thank you
Solution:
Given:
\(f(t)=tan\text{ }t\)\(\begin{gathered} when\text{ }t=-\frac{\pi}{2} \\ f(t)=tan(-\frac{\pi}{2}) \\ f(t)=undefined \\ \\ \\ when\text{ t}=-\frac{\pi}{3} \\ f\mleft(t\mright)=tan(-\frac{\pi}{3}) \\ f(t)=-\sqrt{3} \\ \\ \\ when\text{ t}=-\frac{\pi}{4} \\ f\mleft(t\mright)=tan(-\frac{\pi}{4}) \\ f(t)=-1 \\ \\ \\ when\text{ t}=-\frac{\pi}{6} \\ f\mleft(t\mright)=tan(-\frac{\pi}{6}) \\ f(t)=-\frac{\sqrt{3}}{3} \end{gathered}\)\(\begin{gathered} when\text{ }t=0 \\ f(t)=tan(0) \\ f(t)=0 \\ \\ \\ when\text{ t}=\frac{\pi}{6} \\ f\mleft(t\mright)=tan(\frac{\pi}{6}) \\ f(t)=\frac{\sqrt{3}}{3} \\ \\ \\ when\text{ t}=\frac{\pi}{4} \\ f\mleft(t\mright)=tan(\frac{\pi}{4}) \\ f(t)=1 \\ \\ \\ when\text{ t}=\frac{\pi}{3} \\ f\mleft(t\mright)=tan(\frac{\pi}{3}) \\ f(t)=\sqrt{3} \\ \\ \\ when\text{ t}=\frac{\pi}{2} \\ f\mleft(t\mright)=tan(\frac{\pi}{2}) \\ f(t)=undefined \\ \\ \\ when\text{ t}=\frac{2\pi}{3} \\ f\mleft(t\mright)=tan(\frac{2\pi}{3}) \\ f(t)=-\sqrt{3} \end{gathered}\)Therefore, the complete table is;
A group of friends’ dinner bill is $82.95 They want to leave a 15% tip. What is their total dinner bill, including tip?
The amount of total dinner bill, including tip is found to be $92.40.
Explain about the percentage of the number?Percentage is defined as "out of 100." Similar to fractions and decimals, percentages are used in mathematics to represent subsets of a whole.
When expressing a sum as a percentage, 100 equal components are regarded to make up the whole. To indicate that a number is a percentage, use the sign %.
The cost of a meal for a few pals is $82.95 They would like to tip 15%.So,
Amount of tip:
15 % of 82.95 = 15*82.95 / 100
15 % of 82.95 = 12.4425
Total cost = 82.95 + 12.4425
Total cost = 95.3925
Total cost = $92.40
Thus, the amount of total dinner bill, including tip is found to be $92.40.
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What is the length of line segment AC?
Answer:
x = 7 and AC is 18 cm ...
plz mark my answer as brainlist plzzzz vote me also
Solve each equation by completing the square.
d² - 24d + c
Answer:
d² - 24d + c = (d - 12)² - 144 + c
HELPPPPP pictures will be shown
The perimeter of quadrilateral B is 12 units.
The sides of the quadrilateral are given as:
6, 9, 9, and 12.
Shortest side = 6
Shortest side of the scaled quadrilateral = 2
So, it is reduced by a factor of 3.
So, the sides of the scaled quadrilateral will be given by:
2, 3, 3 and 4.
Perimeter will be adding all the sides.
So, we get that:
The perimeter = (2 + 3 + 3 + 4)
P = 12 units
Hence, the perimeter of quadrilateral B is 12 units.
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Explain why the probability of rolling a sum from 2 to 12 is 100%. [C:2]
The probability of rolling a sum from 2 to 12 on 2 dices is 100%
Given the data,
The two dice should be rolled.
Now, there are 36 possibilities that might occur while rolling two normal six-sided dice. The reason for this is that when rolling two dice, the total number of outcomes is the product of the numbers of outcomes for each die, and each die has six potential outcomes (numbers 1 through 6).
The resultant 36 results are as follows:
1-1, 1-2, 1-3, 1-4, 1-5, 1-6
2-1, 2-2, 2-3, 2-4, 2-5, 2-6
3-1, 3-2, 3-3, 3-4, 3-5, 3-6
4-1, 4-2, 4-3, 4-4, 4-5, 4-6
5-1, 5-2, 5-3, 5-4, 5-5, 5-6
6-1, 6-2, 6-3, 6-4, 6-5, 6-6
When using two dice, there are a total of 36 possibilities that might occur.
As a result, the results' total ranges from 2 to 12.
Hence , the probability is 100 %
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when taking a 19 question multiple choice test ,where each question has 3 possible answers ,it would be unusual to get or more questions correct by guessing alone consider "unusual " to be more than two standard deviations away from expected.
we have that
You have 1 in 3 probability of guessing the correct answer for a single question
you have 19 opportunities to guess
so
19*(1/3)=19/3=18/3+1/3=6 1/3
therefore
would be unusual to get 7 or more questions correct by guessing alone
como resolver:
"los ceros son 0, -1, 1, 3/2, P(-3) = 300"
The polynomial with the given zeros is:;
P(x) = (300/108)*x*(x + 1)*(x - 1)*(x - 3/2)
How to find the polynomial?Remember that if a polynomial has the zeros a, b, c, and d, then we can write it as:
P(x) = K*(x - a)*(x - b)*(x - c)*(x - d)
Where K is a coefficient.
Here the zeros are 0, -1, 1, 3/2
Then we can write:
P(x) =K*(x - 0)*(x + 1)*(x - 1)*(x - 3/2)
P(x) =K*x*(x + 1)*(x - 1)*(x - 3/2)
We also know that when x = -3, P(x) = 300
Then we can write:
300 = K*(-3)*(-3 + 1)*(-3 - 1)*(-3 - 3/2)
300 = K*(-3)*(-2)*(-4)*(-9/2)
300 = K*108
300/108 = K
Then the polynomial is:
P(x) = (300/108)*x*(x + 1)*(x - 1)*(x - 3/2)
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Write the slope-intercept form of the line that has a slope of 2 and intersects the line, 2x - 3y = 6 at x = 3. Include
your work in your final answer. Type your answer in the box provided to submit your solution.
Answer:
y= 2x -6
Step-by-step explanation:
The slope-intercept form of a line is given by y= mx +c, where m is the slope and c is the y-intercept.
To find the equation of a line, two information are needed:
Slope (given/ calculated)A pair of coordinatedGiven that the slope is 2, m= 2. Substitute m= 2 into y= mx +c:
y= 2x +c
Let's find the coordinate in which the line intersects the line 2x -3y= 6. Point of intersection refers to the point at which two lines cuts through each other i.e., the point lies on the graph 2x -3y= 6 and the line of interest.
2x -3y= 6
When x= 3,
2(3) -3y= 6
6- 3y= 6
3y= 6 -6
3y= 0
Divide both sides by 3:
y= 0
Coordinate that lies on the graph is (3, 0).
Substitute the point into the equation and solve for c:
y= 2x +c
When x= 3, y= 0,
0= 2(3) +c
0= 6 +c
c= -6
Substitute the value of c back into the equation:
Thus, the equation of the line in slope-intercept form is y= 2x -6.
Additional:
For a similar question on slope-intercept form, do check out the following!
https://brainly.com/question/28007941Hello everyone can someone answer this question please
9514 1404 393
Answer:
(a) 2
Step-by-step explanation:
Each inch is 2.54 cm, so 5.08 cm is ...
x / (5.08 cm) = (1 in) / (2.54 cm)
x = (1 in)(5.08/2.54) = (1 in)(2)
x = 2 in
5.08 cm equals 2 inches.
PLEASE HELP
FIND THE VOLUME OF EACH FIGURE
ROUND TO THE NEAREST TENTH!
Thank you
Answer:
Sphere=2144.6
Cylinder=1693.3
Cone=2093.3
Step-by-step explanation:
What is the central angle(pic included)
Answer:
72
Step-by-step explanation:
circumference = 20
arc = 4
4/20 =1/5
a circle = 360°
1/5 * 360 = 72
Answer the question asked. When necessary, round to the nearest hundredth.
A boat moves 6 kilometers upstream in the same amount of time it moves 20 kilometers
downstream. If the rate of the current is 6 kilometers per hour, find the rate of the boat in still water.
Answer:
0.555km p/h
shown as 555m p/h
Step-by-step explanation:
First we convert km to meters
6k = 6000m
Time = distance / rate.
20/6 = 3.33333333 = 3hr + ( 0.33 x 60 = 19.8) - 3.20hr
then 3.33 / 6 = 0.555 km = 555 meters p/h
Which of the following is a statistical question that can result in numerical data?
What is the name of your favorite pizza store?
How many hours this week did you spend on homework?
How many times did you go swimming this year?
How many pink erasers do the students in your class have?
A statistical question that can result in numerical data is How many times did you go swimming this year? So, the correct option is A).
The statistical question that can result in numerical data is "How many hours this week did you spend on homework?" and "How many times did you go swimming this year?".
These questions involve counting or measuring quantities, which can be represented using numerical data. The other two questions do not involve numerical data and therefore cannot be considered statistical questions that result in numerical data. So, the correct answer is B).
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Answer:
How many pink erasers do the students in your class have?
pls simplify these two problems:
Answer:
Step-by-step explanation:
1 )
\(\frac{2}{5}( \frac{5x}{4} - \frac{10}{3})-\frac{4x}{3} \\\frac{x}{2} - \frac{4}{3} - \frac{4x}{3}\\ \frac{-5x}{6}-\frac{4}{3}\)
2 )
\(\frac{17x}{8}+\frac{3x}{4}+\frac{1}{6}-\frac{7x}{12}+\frac{17}{3}\\ \frac{51x}{24}+\frac{18x}{24}-\frac{14x}{24}+\frac{35}{6}\\\frac{55x}{24}+\frac{35}{6}\)