Answer:
(3x + y)(3x - 4)
Step-by-step explanation:
9x² + 3xy - 12x - 4y =
There is no common factor in the 4 terms.
Since there are 4 terms, we try factoring by grouping.
Find a common factor in the first two terms, and find a common factor in the last two terms.
= 3x(3x + y) - 4(3x + y)
Now factor out the common factor 3x + y.
= (3x + y)(3x - 4)
How many black berry trees were sampled to create this graph
Answer:
C. 31 trees
Step-by-step explanation:
Add up all the frequencies: 3+3+8+10+5+2=31
Hope this helps!!!
Answer:
It's C. 31 trees
Step-by-step explanation:
That's about all I can say
I got c which is 100 but I don’t know how jerry got A
Choice C is the correct answer because
[tex]\frac{(6+2)^3-12}{5}\\\\\frac{(8)^3-12}{5}\\\\\frac{512-12}{5}\\\\\frac{500}{5}\\\\100\\\\[/tex]
So in short, [tex]\frac{(6+2)^3-12}{5}=100\\\\[/tex]
------------------------------------------
The mistake Jerry likely made was that he only cubed the 2 and didn't realize the 6 was part of that cubing process. It seems he didn't add first and decided to cube before adding.
This is probably what steps Jerry did
[tex]\frac{6+2^3-12}{5}\\\\\frac{6+8-12}{5}\\\\\frac{14-12}{5}\\\\\frac{2}{5}\\\\[/tex]
But as mentioned, those steps are incorrect because the 6 is part of the cubing operation. In other words, Jerry should have added the 6+2 first before cubing afterward (due to PEMDAS determining the order of operations).
Or you could think of it like this
[tex]\frac{(6+2)^3-12}{5}\\\\\frac{(6+2)(6+2)(6+2)-12}{5}\\\\\frac{(8)(8)(8)-12}{5}\\\\\frac{512-12}{5}\\\\\frac{500}{5}\\\\100[/tex]
Can someone help me solve this problem please
Thankyouuuu
Answer:
in picture
Step-by-step explanation:
Brainliest please
Answer:
this is the best way for the question
Solve for congruent triangles
Answer:
11. B.
12. C.
13. A.
14. D.
Step-by-step explanation:
for 11: we know that angles D and J are congruent from the tick marks, we also know that ∠FKD and ∠LKJ are congruent (vertical angles are congruent) therefore we need the sides between them
for 12: we know that ∠STU and ∠TUG are congruent, we also know that line TU is congruent to TU (reflexive property), therefore we need the angles adjacent to the first angles listed.
for 13: we know that ∠PQR and ∠CQR are congruent, we also know that lines RQ and RQ are congruent (reflexive property), therefore we need the other angles to which line RQ is between.
for 14: we know ∠B is congruent to ∠T and line AB is congruent to line ZY. therefore the angle cannot be connected to lines AB and ZY.
Whole numbers are _______ intergers
1. Never
2. Always
3. Sometimes
Answer:
Whole numbers are ALWAYS integers.
Find the TWO integers whos product is -12 and whose sum is 1
Answer:
[tex] \rm Numbers = 4 \ and \ -3.[/tex]
Step-by-step explanation:
Given :-
The sum of two numbers is 1 .
The product of the nos . is 12 .
And we need to find out the numbers. So let us take ,
First number be x
Second number be 1-x .
According to first condition :-
[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]
Hence the numbers are 4 and -3
Answer:
[tex] \displaystyle( {x}_{1} , y_{1}) =( - 3,4)\\ (x _{2}, y_{2}) = (4, - 3)[/tex]
Step-by-step explanation:
we are given two conditions
two integers whos product is -12two integers whos sum is 1let the two integers be x and y respectively according to the first condition
[tex] \displaystyle xy = - 12[/tex]
according to the second condition:
[tex] \displaystyle x + y = 1[/tex]
now notice that we have two variables therefore ended up with a simultaneous equation so to solve the simultaneous equation cancel x from both sides of the second equation which yields:
[tex] \displaystyle y = 1 - x[/tex]
now substitute the got value of y to the first equation which yields:
[tex] \displaystyle x(1 - x) = - 12[/tex]
distribute:
[tex] \displaystyle x- {x}^{2} = - 12[/tex]
add 12 in both sides:
[tex] \displaystyle x- {x}^{2} + 12 = 0[/tex]
rearrange it to standard form:
[tex] \displaystyle - {x}^{2} + x + 12 = 0[/tex]
divide both sides by -1:
[tex] \displaystyle {x}^{2} - x - 12 = 0[/tex]
factor:
[tex] \displaystyle ({x} + 3)(x - 4) = 0[/tex]
by Zero product property we acquire:
[tex] \displaystyle {x} + 3 = 0\\ x - 4= 0[/tex]
solve the equations for x therefore,
[tex] \displaystyle {x}_{1} = - 3\\ x _{2} = 4[/tex]
when x is -3 then y is
[tex] \displaystyle y _{1}= 1 - ( - 3)[/tex]
simplify
[tex] \displaystyle y _{1}= 4[/tex]
when x is 4 y is
[tex] \displaystyle y _{2}= 1 - ( 4)[/tex]
simplify:
[tex] \displaystyle y _{2}= - 3[/tex]
hence,
[tex] \displaystyle( {x}_{1} , y_{1}) =( - 3,4)\\ (x _{2}, y_{2}) = (4, - 3)[/tex]
identify the type of function graphed to the right.
linear
exponential
other
Answer:
linear i think
Step-by-step explanation:
exponential
Step-by-step explanation:
The cost of having a window fixed is $175 plus $30 per hour of labor. Using h for the number of hours of labor, write an expression that represents the total cost.
Answer:
175 + 30h
Step-by-step explanation:
Hope this helps
Answer:
total cost = 175+30h
Step-by-step explanation:
Total cost = fixed cost + cost per hour * hours
total cost = 175+30h where h is the number of hours
At the gym Merl swims every 6 days, runs every 4 days and cycles every 16 days. If she did all 3 activities today in how many days will she do all 3 activities again on the same day
Answer:
48 days
Step-by-step explanation:
Swim = every 6 days
Run = every 4 days
Cycles = every 16 days
Find the lowest common multiple of 6, 4 and 16
6 = 6, 12, 18, 24, 30, 36, 42, and 48
4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48
16 = 16, 16, 32, 48, 64, 80, 96, 112, 128, 144, 160
The LCM of 6, 4 and 16 is 48
Therefore,
If she did all 3 activities today, she will do all 3 activities again in the next 48 days
Can someone please help me. If you do thanks
Answer:
(B)
Step-by-step explanation:
Can't explain lol, but that's the answer
The students at Southern Junior High School are divided into four homerooms. Benjamin just moved into the school district and will be randomly assigned to one homeroom.
Which methods can be used to simulate this situation? Select three options..
Flip a coin 4 times, once for each homeroom, with heads up representing being assigned to the homeroom represented by that flip.
Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.
Use a random number generator with 1, 2, and 12 representing the first homeroom, 7, 9, and 10 representing the second homeroom, 3, 8, and 11 representing the third homeroom, and 4, 5, and 6 representing the fourth homeroom.
Roll a number cube with 1 representing the first homeroom, 2 representing the second homeroom, 3 representing the third homeroom, and any other outcome representing the fourth homeroom.
Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
Step-by-step explanation:Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
Last month, a factory produced 880 television sets. This month, the same factory produced 1,210 television sets. The increase in production from last month to this month is
Answer:
330 television set
Step-by-step explanation:
Last month production = 880 television sets
This month production = 1,210 television sets
The increase in production from last month to this month = This month production - Last month production
= 1,210 - 880
= 330
The increase in production from last month to this month = 330 television set
As per linear equation, the increase in production of television of the factory is 330.
What is a linear equation?A linear equation is an equation where the variable has the highest power of 1.
Given, a factory produced 880 television sets last month.
This month, the same factory produced 1,210 television sets.
Therefore, the increase in production of television of the factory is
[tex]= (1210-880)\\= 330[/tex]
Learn more about a linear equation here: https://brainly.com/question/11203335
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Consider the graph of f(x) = 5x + 1. Explain how to find the average rate of change between x = 0 and x = 4.
What is the average rate of change?
Answer:
5
Step-by-step explanation:
You divide the change in the output value by the change in the input value.
Input: 0 | 4
Output: 1 | 21
20/4= 5
What is the value of W?
5 units
7 units
14 units
15 units
Answer:
5 units!
Step-by-step explanation:
Because Rectangle Perimeter = 2(a+b)
a=2w-1, b=w
2(2w-1+w)=28
3w-1=14
3w=15
w=5
So the answer is 5! 5! 5! A!A!A!
Fighting!! o(≧o≦)o
Which of the following biconditional statements is true?
Answer:
The answer is A :)
Step-by-step explanation:
Answer:
A whole number is even if and only if it is evenly divisible by 2
Step-by-step explanation:
BRAINLY
JannetPalos
Ambitious
808 answers
526.6K people helped
Answer:
A whole number is even if and only if it is evenly divisible by 2
Step-by-step explanation:
1. The first statement is false because product of two negative integers is positive.
Ex:
(- 2) × (- 3) = 6
2. The second statement is false because there are whole numbers which are divisible by 2 but not divisible by 4.
Ex:
6 is divisible by 2 but not divisible by 4
3. The fourth statement is false because if a whole number is divisible by 2, then, by definition, it must be an even number.
Ex:
6 is divisible by 2 and hence it is an even number
4. The third statement is true because if a whole number is divisible by 2, then, by definition, it must be an even number.
Ex:
6 is divisible by 2 and hence it is an even number
A fruit punch mixture is made of Orange juice, Pineapple juice, and Cranberry juice in a 3:5:7 ratio. How much of each juice type do you need for a 375 ml mixture?
Answer: a good amount
Step-by-step explanation:
because if you just get a table spoon for all flavour mixtures then wala they are all the same amount -__-------------i is not smart at all srry
Hello can someone help me with this problem
Answer: x = 60
Step-by-step explanation:
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary and their sum is 180°.
2x + 5 + x - 5 = 180
3x = 180
3x : 3 = 180 : 3
x = 60
89 x , 16x , -30x please show your work .
Answer:
Step-by-step explanation:
89x = 89 * x
16x = 2 * 2 * 2 * 2 * x
-30x = -1 * 2 * 5 * 3 * x
x is the only factor that is common in all three.
GCF = x
A wire was shaped to form a square of area
81cm². An equilateral triangle was formed by
the same wire. What is the length of a side of
the triangle formed?
Answer:
12 cm
Step-by-step explanation:
Given :-
A wire shaped to form a square of area81cm². An equilateral triangle was formed bythe same wire.To Find :-
The length of a side of the triangle formed?Solution :-
We know that the area of square is ,
> a² = 81 cm²
> a = √81 cm²
> a = ±9 cm
> a = 9cm ( -ve not possible )
Therefore perimeter ,
> P = 4a
> P = 4 * 9cm
> P = 36 cm .
We know all sides of ∆ are equal. therefore ,
> a + a + a = 36cm
> 3a = 36cm
> a = 36 cm/3
> a = 12cm
Below are the ages of the employees of a small gift shop in town. Describe the data using the five number summary.
17, 18, 19, 40, 42, 16, 33, 17, 33, 44, 19, 40, 37, 26, 25
helppppp pleaseeeee
median is 26
maximum is 44
minimum is 17
third quartile is 40
first quartile is 18
should be correct but I'm not sure
The median is 26, the maximum value is 44. The minimum value is 17. The third quartile is 40 and first quartile is 18.
What are quartiles?
When we get data that can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.
Quartiles are then selected as 3 points such that they create four groups in the data, each group approximately possessing 25% of the data.
The given data set is;
17, 18, 19, 40, 42, 16, 33, 17, 33, 44, 19, 40, 37, 26, 25
The data using the five-number summary.
The median is 26
The maximum value is 44
The minimum value is 17
The third quartile is 40
The first quartile is 18
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in the diagram below,RQ is parallel to ST. ST =4cm RP =10cm PT = 5cm a.find,. i.the scale factor. ii.|RQ|. b.if the area of ∆PRQ is 80 cm find the area of triangle ∆PST.
Answer:
us7e7eoeod8rr8r88rr8 fnddkdkiduduruScale factor is 1/2. and, Area of PST = 20cm^2
What is triangle?
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
we get in the diagram below, RQ is parallel to ST.
ST =4cm
RP =10cm
PT = 5cm
Now, PRQ is larger than PTS
i.e. the scale factor = 5/10
=1/2
And, |RQ|= ST*2
=4*2
=8
Now, area of PRQ =80cm^2
so, area of PST = 80*1/2^2
=80*1/4
=20cm^2
Hence, Scale factor is 1/2., Area of PST = 20cm^2.
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What type of health screening would this patient most likely receive?
Sue is a 45-year-old woman with a family history of breast cancer. Her healthcare professional will most likely recommend that she receive a
Answer:
she would need annual breast cancer screening with mammograms.
Step-by-step explanation:
hope this helps! hope you have a nice day.
6. Find the value of x to the nearest tenth.
Answer:
Step-by-step explanation:
[tex]Cos \ 39 = \frac{adjacent \ side}{hypotenuse}\\\\0.7771 = \frac{7}{x}[/tex]
x * 0.7771 = 7
[tex]x =\frac{7}{0.7771}=9.007[/tex]
x = 9
If two people earn a total of $23, how many people will earn a total of $92
Answer:
8
Step-by-step explanation:
[tex] \frac{23}{2} = 11.5[/tex]
[tex]92 \div 11.5 = 8[/tex]
Solving Linear Systems by Elimination Solve each of the following linear systems by elimination, and check the solution a) 0.1a -0.4b = 1.9
0.4a +0.5b = -0.8
Answer:
a = 3 b = -4
Step-by-step explanation:
4 (0.1a -0.4b) = (1.9) 0.4a - 1.6b = 7.6
0.4a - 1.6b = 7.6
- 0.4a +0.5b = -0.8
-2.1b = 8.4
b = -4
0.4a + 0.5(-4) = -0.8
0.4a - 2 = -0.8
0.4a = 1.2
a = 3
Question is in the image
Uma madeira clandestina corta 325 árvores por dia em quantos dias eles devastaram uma área com 1625 árvores
Answer:
Se necesitarían 5 días para talar 1625 árboles a este ritmo
Step-by-step explanation:
1625 dividido por 325 iguales 5, así que otra forma de averiguar esto es multiplicar 325 por 5, 325 Multiplicado por 5 iguales 1625.
Help me please on hegarty maths
Answer:
29.5cm^2
Step-by-step explanation:
3 × 4 = 12
4 × 2.5 = 10
3 × 2.5 = 7.5
12+10+7.5=29.5
3. Length of a cubic container is 20 cm .A cube with a length of edges 5 cm will be used to take some water from a water barrel. Determine the maximum number of cubes that need to use to fill the container with water.
We have l = 20 * 20 * 20 = 8000 cm3
One cube will have l = 5 * 5 * 5 = 125 cm3
-> The maximum number of cubes that need to use to fill the container with water is 8000 / 125 = 64
Find DE. A.4 B.5/3 C.7 D.11
Answer:
DE = 11
Step-by-step explanation:
DE = x + 7
EF = 7
DF = 4x + 2
DF = DE + EF (segment addition postulate)
Substitute
4x + 2 = x + 7 + 7
4x + 2 = x + 14
Collect like terms
4x - x = -2 + 14
3x = 12
Divide both sides by 3
x = 12/3
x = 4
✔️DE = x + 7
Plug in the value of x
DE = 4 + 7
DE = 11
