Answer:-m or m+3
Step-by-step explanation:
[tex]x^{2} -3x -(m^{2}+3m) =0\\\\x^{2} -3x -m^{2} -3m=0\\[/tex]
[tex]x^{2} -m^{2} -3x - 3m=0[/tex]
Applying difference of two squares
⇒([tex]x^{2} -m^{2}[/tex])=(x+m)(x-m)
Substituting this for ([tex]x^{2} -m^{2}[/tex])
Factorising -3x-3m=-3(x+m)
(x+m)(x-m)-3(x+m)=0
since we have double (x+m),we'll pick one
⇒(x+m)=0
or (x-m-3)=0
⇒x=-m or x= m+3
If (-2, 3), (4, -3) and (4, 5) are the mid-points of the sides of a triangle, find the co-ordinates of its centroid
Answer:
[tex]G=(2,\frac{5}{3} ).[/tex]
Step-by-step explanation:
Let the given vertices of a triangle be [tex]A(-2,3)[/tex]and [tex]B (4,-3)[/tex] let the third vertex be[tex]C (4,5)[/tex].
Let Centroid be G = [tex][\frac{x_{1} +x_{2}+x_{3} }{3} , \frac{y_{1}+y_{2}+y_{3} }{3} ][/tex]
⇒ [tex]G=(\frac{-2+4+4}{3} ,\frac{3-3+5}{3})[/tex]
⇒ [tex]G=(\frac{6}{3} ,\frac{5}{3} )\\[/tex]
⇒ [tex]G=(2,\frac{5}{3} ).[/tex]
A car wash detailed 144 cars in 4 hours. At what rate did the car wash detail cars in cars per hour?
Answer:
If this car wash took 4 hours to detail 144. 144/4 = 1/36 meaning that every hour they would detail 36 cars, we can double-check this and multiply 36 by 4 and we will get 144 meaning that this is true and that this car wash detailed 36 cars in an hour.
Hayden’s mom purchased a savings bond for Hayden. The value of this savings bond increases by 6% every year. One year after it was purchased, the value of the savings bond was $530. Find the value of the bond when Hayden’s mom purchased it. Explain your reasoning!
The new value would be the starting value x 1 + interest rate:
New value = starting value x 1.06
The new value is 530:
530 = starting value x 1.06
Find the starting value by dividing the new value by 1.06:
start value = 530/1.06
Start value = 500
Answer: $500.
explain reasoning: because the bond is only one year old you would multiply the value of the bond by the interest rate and add the interest amount to the bond to get $530.
8
5. At the class party, each student will be given a container filled with 8 ounces of juice. There are
25 students in the class. How many ounces of juice does the teacher need to buy?
Answer:
Since there is 25 students and 8 ounces there you have to do 25 times 8 which equals 200
Khan academy
The graph of the invertible function g is shown on the grid below. What is the value of g^− 1 ( 1 )
By using the graph and the definition of inverse functions, we will see that:
g⁻¹(1) = 4.
What are inverse functions?
We say that two functions f(x) and g(x) are inverse if:
f(g(x)) = xg(f(x)) = x.Now, we know that graph of g(x) and we want to find the value of:
g⁻¹(1)
In the graph, we can see that:
g(4) = 1
Then we can replace it:
g⁻¹(1) = g⁻¹( g(4) ) = 4.
So we can conclude that:
g⁻¹(1) = 4.
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Answer:
-4
Step-by-step explanation:
Khan Academy
Hi can you Answer this plss I really need it ty in advanced!
Given:
[tex]X = {0,1,2,3,4} \\ Y = {2,4,6,8,10,12} \\ Z = {3,6,9,12,15}[/tex]
So,
[tex]X∪Y = (0,1,2,3,4) \: ∪ \: (2,4,6,8,10,12) \\ = > (0,1,2,3,4,6,8,10,12)[/tex]
[tex]X∩Z = (0,1,2,3,4) \: ∩ \: (3,6,9,12,15) \\ = > (3)[/tex]
[tex](X∪Y)∩Z = (0,1,2,3,4,6,8,10,13) ∩ (3,6,9,12,15) \\ = > (3,6)[/tex]
Using the generic set operations, we will see that:
1) X U Y = {0, 1, 2, 3, 4, 6, 8, 10, 12}2) X ∩ Z = {3}3) Z = {3, 6, 9, 12, 15}How to operate with sets?
For two given sets A and B, we define:
A ∪ B as the union of the two sets, this is the set that contains all the elements from both A and B.
A ∩ B is the intersection of A and B, this set contains only the common elements of A and B.
Now we want to complete the given table:
1) X U Y is the union of sets X and Y (we do not repeat elements) so this is equal to:
{0, 1, 2, 3, 4, 6, 8, 10, 12}
2) X ∩ Z is the intersection of X and Z, the only common element between these sets is 3, then:
X ∩ Z = {3}
3) (X U Y)∩ Z
Is the set of the common elements between:
X U Y = {0, 1, 2, 3, 4, 6, 8, 10, 12}
Z = {3, 6, 9, 12, 15}
The common ones are:
3, 6, and 12, then we have:
(X U Y)∩ Z = {3, 6, 12}
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Simplify.
–(2x – 3y) + 5x + 2 – 3x + 3y + 2
A.
4
B.
4x + 4
C.
6y + 4
D.
4x + 6y + 4
Answer:
4x + 6y + 4
Step-by-step explanation:
–(2x – 3y) + 5x + 2 – 3x + 3y + 2
= -2x + 3y + 5x + 2 - 3x + 3y + 2
= -2x + 5x -3x + 3y + 3y + 2 + 2
= 0 + 6y + 4
= 6y + 4 (C)
Hope it helps ⚜
Answer:
D; 4x+6y+4
Step-by-step explanation:
1. Distribute the negative
2. -2×+3y+5x+2-3×+3y+2
2. combine like terms
answer; 4x+6y+4
I NEED HELP WITH THIS ASAP!!!
Answer:
a: 42%
b: don't have the info for
c: 48%
d: don't have info for
e: don't have info for
f: don't have info for
Step-by-step explanation:
sorry I cant answer everything
order the numbers least to greatest.
Answer:
21/50 ,43.7%, 87/200,0.44
Step-by-step explanation:
I need Help ASAP I will give you brainlest and plus 5 stars ✨✨and plus thanks and 50 points EVeryONe need help this is due today so plz help me I need to turn it in today so plz help I will give everything if you do
Answer:
see step-by-step below
Step-by-step explanation:
1) y - 2 > 3
Add 2 to both sides: y > 5
2) y ≤ 2
Draw a closed circle at y = 2 then shade the numbers to the left
3) y ≥ 250
where y = savings
4) The image isn't very clear, so I can't tell if it's a closed or open circle on -4.
If it is closed, it will be y ≤ -4
If it is open, it will be y < -4
5) -4 < f
Draw an open circle at f = -4 then shade the numbers to the right
6) x < -3.5
Draw an open circle at x = -3.5 then shade the numbers to the left
7) closed circle ... shade to the left of 8 ... make y equal to or less than 8.
8) F ≤ 6
C - closed circle at 6 with shaded numbers to the left
9) y > 2.75
Betty saved more than $2.75 every month
10) 1 + x < 5
Subtract 1 from both sides: x < 4
11) x ≥ -2.5
12) 1 ≤ m means that m is equal to or greater than 1
solutions: 4, 1, 2.3
Look at the triangles shown below.
What is the value of b?
A)6
B)27T3
C)зVT3
D) 3V14
Answer:
[tex]b=3\sqrt{13}[/tex]
Step-by-step explanation:
Segment Addition Postulate:
[tex]\bar{PY}=\bar{MP}+\bar{MY}[/tex]
Substitute MP = 4, MY = 9 into PY = MP + MY:
[tex]\bar{PY}=4+9[/tex]
Calculate PY = 4 + 9:
[tex]\bar{PY}=13[/tex]
Representing same angles:
[tex]cos A = leg adjacent to <A/hypotenuse:
[tex]cos(Substitute DY = b, PY = 13 into cos (<DYP)=DY/PY:
[tex]cos(Substitute <DYP=<DYM into cos(<DYP)=b/13:
[tex]cos(cos A=leg adjacent to <A/hypotenuse:
[tex]cos\left(Substitute DY=b, MY=9, cos(<DYM)=b/13 into cos (<DYM)=MY/DY:
[tex]\frac{b}{13}=\frac{9}{b}[/tex]
Calculate b/13=9/b:
[tex]b=3\sqrt{13}[/tex]
I hope this helps you :)
More than twenty people came to a sticker exchange. Every person brought the same number of stickers. Every person brought more than one sticker. In all, there were 141 stickers at the exchange. How many people came to the exchange?
The amount of stickers bought in the sticker exchange is an illustration of factors
There were 47 people in the sticker exchange
How to determine the number of peopleThe number of stickers is given as:
Stickers = 141
Next, we list the factors of 141 in pairs
(x,y) = (1,141), (3,47), (47,3) and (141,1)
Each person bought more than 1 sticker.
So, we have:
(x,y) = (3,47) and (47,3)
Hence, we can conclude that there were 47 people in the sticker exchange
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5:8 equal 42:56 true or false
Answer:
false
Step-by-step explanation:
42 is not divisible by 5
Answer:
False
Step-by-step explanation:
5 does not go into 42
Guys can anyone who knows about this explain i will mark brainliest no links. thanks! :)
Answer:
PS = 7
SQ = 7.125
m<QTR = 115
m<TQR = 32.5
Step-by-step explanation:
To find PS, you need to take the measurement from QR [stated in the problem] which is 7 feet.
To find SQ, you need to take the measurement from RT [stated in the problem as 3 9/16] and then multiply it by 2 as SQ is 2 times longer than RT, which means SQ = 7 1/8 or 7.125 [since it needs to be a decimal]
To find m<QTR, you need to take the measurement from m<RTS, and since those 2 angles together equal 180, you need to subtract 65 degrees [from m<RTS] from 180, resulting in 115 degrees.
To find m<TQR, you need to know that a triangle has 180 degrees within it. Then you need to find one angle. We know the wider angle, <T = 115 degrees, so then we have to do 180 - 115, which equals 65 [that is the total for the 2 remaining equal corners], then we just have to divide by 2, which equals 32.5 degrees.
Seven more than three times a number is greater than thirty-four
Answer:
3x+7>34
Step-by-step explanation:
more than means+and the times means multiple
2) A certain company charges $7.95 per square foot to lay patio. How much would
they charge to lay a 23 foot by 15 foot patio?
Use the number line below to fill in the blank.
3/4
Perimeter of rectangle floor is 80 feet. Find the dimention of the floor if the length is four times the width
Answer:
width = 8 ft & length = 32 ft.
Step-by-step explanation:
let the width be x and length be 4x.
we know, Perimeter = 2(l+b)
now,
2(4x + x) = 80
10x = 80
x = 80/10 = 8
x = 8
therefore,
width = x = 8 ft
length = 4x = 4 × 8 = 32 ft.
hope this helps you !
What is the greatest common factor of 7, 4, and 39?
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
1 is the greatest common factor of 7, 4 and 39
James is contemplating an investment opportunity represented by the function A(t)=P(1.06)t, where P is the initial amount of the investment, and t is the time in years. If James invests $5000, what is the average rate of change in dollars per year (rounded to the nearest dollar) between years 15 and 20?
Enter your answer as a number, like this: 42
Answer:
Rate of change per year = $5300
Step-by-step explanation:
Step 1: Substitute the variable P for the invested amount
1. A(t) = 5000(1.06)t
2. A(t) = (5300)t
Step 2: Substitute the variable t for the first 15 years
1. A(15) = (5300)(15)
2. A(15) = 79,500
Step 3: Substitute the variable t for the 20 years
1. A(20) = (5300)(20)
2. A(20) = 106,000
Step 4: Find your two ordered pairs and relation
First ordered pair: (15, 79,500)
Second ordered pair: (20, 106,000)
Relation: {(15, 79,500), (20, 106,000)}
Step 5: Find the slope or rate of change between 15 and 20 years
Let (y₁, x₁) = (15, 79,500)
Let (y₂, x₂) = (20, 106,000)
1. Use the slope expression: y₂ - y₁/x₂ - x₁
2. Substitute the correct values into the expression:
106,000 - 79,500/20 - 15
3. Simplify: 26500/5 = 5300
4. Hence, the rate of change in dollars per year is $5300
HEEEEEEEEEEEESEEEEEEEEEEELPPPP
Answer:
150x2/ [3] = 100
55 - [-22.5] x 2 = 100
84 x 4 - [6] = 330
200 + [8] - 10 = 198
Step-by-step explanation:
Hope this helps
Answer:
1. 3
2. 5
3. 6
4. 8
Step-by-step explanation:
I do not think BODMAS or BIDMAS applies in these questions otherwise it would be impossible
The Smiths bought an apartment for $78,000. Assuming that the value of the apartment will increase in value 5% a year, how much will the apartment be worth in 6 years? Answer to the nearest penny.
The value of the apartment in 6 years is $104,527.46.
What is the future value of the apartment?The value of the apartment appreciates (increase in value) by 6% every year. The formula that can be used to determine the future value of the apartment is:
FV = P (1 + r)^n
Where:
FV = Future value P = Present value R = interest rate N = number of years$78,000(1.05)^6 = $104,527.46
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The worth of the apartment after 6 months is =$23,400
Simple interestThe original amount of the apartment(p) = $78,000
The rate of increase of the value of the apartment is(r)= 5%
Time(t) = 6years
But simple interest =
[tex]si = \: \frac{p \times t \times r}{100} [/tex]
[tex]si = \frac{78000 \times 6 \times 5}{100} [/tex]
[tex]si = \frac{2340000}{100} [/tex]
si = $23,400
Therefore, the worth of the apartment after 6 months is =$23,400
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Allison measured a line to be 19.4 inches long. If the actual length of the line is 19.1
inches, then what was the percent error of the measurement, to the nearest tenth of a
percent?
PLZ HELP ASAP
PLEASE HELP ME I NEED TO DO THIS BY TODAY
Answer is median because aas you can see as the line if divided by its hald angle it equals a median angle.
f(x) = 3x^2 - 9x + 2
What's the axis of symmetry?
What is the coordinate of the vertex?
axis of symmetry: x=1.5
vertex: (1.5,-4.75)
I WILL GIVE BRAINLIEST PLS HELP
Answer: distributive property
Step-by-step explanation:
hope it helps u!!
Pls mark me brainliest
21 A container in the shape of a triangular prism is used to hold a slice of pizza. The dimensions
of the container are shown in the diagram.
10.8 in.
7.2 in.
1.5 in.
PIZZA
9 in.
What is the volume of the container in cubic inches?
The volume of the triangular prism is 58.32 in³
Volume
Volume is the amount of space occupied by a three dimensional object.
The volume of a triangular prism is given by:
V = Area of triangle * height
Area of triangle = (1/2) * 10.8 * 7.2 = 38.88 in²
Volume of prism = 38.88 * 1.5 = 58.32 in³
The volume of the triangular prism is 58.32 in³
Find out more on Volume at: https://brainly.com/question/1972490
Answer:
58.32in3
Step-by-step explanation:
i did the test
The number of eggs in the refrigerator e decreased by 2 equals 14.
Enter an equation to represent the situation.
8x-2y = 18
y = 4x - 9
Solve by substitution
Answer:
Infinitely many solutionsStep-by-step explanation:
Given system:
8x - 2y = 18y = 4x - 9Solve by substitution:
8x - 2(4x - 9) = 188x - 8x + 18 = 1818 = 18We got correct equation without variables.
It means the equation is correct for any value of variables, the lines are same and overlap.
So there are infinitely many solutions.
HELP PLEASE
Meredith borrows $12,560 and pays 2 percent simple interest each year for 4 years. What is the total amount of
interest that she will pay on the loan?
$25120
$1,004.80 $
$11,555.20
$13,564.80
Answer
$1,004.8
Step-by-step explanation:
hope this helps
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$12560\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ t=years\dotfill &4 \end{cases} \\\\\\ I = (12560)(0.02)(4)\implies I=1004.80[/tex]