Answer:
What is the simplified form of this expression?
7a2 + 10a − 3a − 2a2
Step-by-step explanation:
7a2 + 10a − 3a − 2a2
Combine like terms
742 + 10a - 3a - 2a2
742 + 7a - 2a2
solution=
5a2 + 7a
Plz, help I beg you to answer this correctly there are 3 answers worth 10 points if you answer it correct I will give brainlyest.
Answer:
2. 5(b+3)
3. 5b + 15
4. 15 + 5b
Step-by-step explanation:
area of rectangle = length * breadth
length= b+3
breadth = 5
Select the correct scientific notation form of this numeral.
2,000,004
2.400 000 × 10 6
2.4 × 10 6
2 × 10 6
2.000 004 × 10 6
The lengths of a rectangular garden, the inner rectangle, is 9ft more than its width. For the garden. Let x = width, x + 9 = length. It is surrounded by a brick walkway 4ft wide. Suppose the total area of the walkway is 400ft^2.
a. Write a polynomial to represent the length of PQ
b. What are the dimensions of the garden?
Answer:
\(PQ = x + 13\)
The dimension of the garden is 52.5ft by 43.5ft
Step-by-step explanation:
Given
The shape above
Required
Determine PQ
Determine dimension of the garden
Calculating Length PQ
Represent the length of the inner rectangle as L
Represent the width of the inner rectangle as W
\(W = x\)
\(L = x + 9\)
The distance between the inner rectangle and the outer triangle is 4ft
This implies that;
\(PQ = L + 4\)
Substitute \(x + 9\) for \(L\)
\(PQ = x + 9 + 4\)
\(PQ = x + 13\)
Also;
\(QR = W + 4\)
Substitute \(x\) for \(W\)
\(QR = x + 4\)
Calculating The Dimension of The Garden
First, we need to determine the Area of the inner rectangle
\(Area_1 = L * W\)
Recall that \(W = x\) and \(L = x + 9\)
So;
\(Area_1 = x * (x + 9)\)
For the bigger rectangle
\(Area_2 = PQ * QR\)
Recall that \(PQ = x + 13\) and \(QR = x + 4\)
So;
\(Area_2 = (x + 13)(x + 4)\)
Given that the Area of the walkway is \(400ft^2\)
This implies that
\(Area_2 = Area_1 + 400\)
Substitute \(Area_1 = x * (x + 9)\) and \(Area_2 = (x + 13)(x + 4)\)
\((x + 13)(x + 4) = x * (x + 9) + 400\)
Open All Brackets
\(x^2 + 13x + 4x + 52 = x^2 + 9x + 400\)
\(x^2 + 17x + 52 = x^2 + 9x + 400\)
Collect Like Terms
\(x^2 - x^2 + 17x - 9x = 400- 52\)
\(8x = 348\)
Divide both sides by 8
\(\frac{8x}{8} = \frac{348}{8}\)
\(x = \frac{348}{8}\)
\(x =43.5\)
Since the dimensions of the garden is \(W = x\) and \(L = x + 9\)
Substitute 43.5 for x in both cases
\(L = 43.5 + 9 = 52.5\)
\(W = 43.5\)
Hence, the dimension of the garden is 52.5ft by 43.5ft
What is twelve and thirty four hundredths written in standard form? (2 points)
Group of answer choices
1.234
12.34
123.4
1234
Answer:
12.34
Step-by-step explanation:
I've done this test before! Good luck, hope you get 100%
please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
Learn more about functions at: https://brainly.com/question/25638609
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The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
To know more about functions and points:
https://brainly.com/question/30721594
ANSWER FAST I DON'T UNDERSTAND?
Answer:
Step-by-step explanation:
I would ask my teacher for help if no, then it seems like you would mark a line in the numbers line or smth just giving you an idea sorry if this never helped :(
Please help and you get a cake
Answer:
Mean = 33.7
Median = 34.5
Mode = 34
Range = 33
After adding 26....
mean decreases by 0.7
median decreases by 0.5
mode is 34
range is 33
Step-by-step explanation:
mean = sum of all the data values/number of data values
= (18 + 19 + 20 + 34 + 34 + 35 + 37 + 42 + 47 + 51)/10
= 337/10
= 33.7
To find median arrange the values in increasing order, find the mid value
If the number of data points is even, find the average of the mid 2 data values
Arranging data values we get:
18, 19, 20, 34, 34, 35, 37, 42, 47, 51
Since there are 10 data values, take the average of the middle two:
(34 + 35)/2 = 34.5
The mode is the value that occurs most often. We see that there are two instances of 34 whereas the other values appear only once
Mode = 34
The range is highest - lowest = 51 - 18 = 33
After we add 26, we get the following data set arranged
18, 19, 20, 26, 34, 34, 35, 37, 42, 47, 51
we can calculate the stats using the same technique as above
We get the following values
mean = )(18 + 19 + 20 + 26 + 34 + 34 + 35 + 37 + 42 + 47 + 51)/11
= 33
median = 34
mode = 34
range = 51-18 = 33
To find the decrease in mean and median subtract from the first set of values
Please help its urgent and timed.
In the diagram, GHK- (Triangle here) MNP.
what is the length, in units, of side mn?
A. 1.4
B. 1.6
c. 2.4
d.2.6
Answer:
it is 2.4
Step-by-step explanation:
Can some please help me?
Answer:
ofc 8374747374743i3i3i383
I need an answer for this pls
Answer:
The GREATER the line the STEEPER the PROPORTIONALITY of X you know you have a constant proportionality when your graph begins at the ORIGIN we can write the equation as y = K x. We find the constant of proportionality by DIVIDING the CONSTANT coordinate by the Y coordinate from an ordered pair.
Step-by-step explanation:
I think I'm not sure you should probably get a second opinion to be sure.
Answer:
The GREATER the line the STEEPER the PROPORTIONALITY of X you know you have a constant proportionality when your graph begins at the ORIGIN we can write the equation as y = K x. We find the constant of proportionality by DIVIDING the CONSTANT coordinate by the Y coordinate from an ordered pair.
(wat she said :))
The length-to-width ratio of a television screen is 4 to 3. Mya bought a television with a length of 48 inches. What is the width of the television? 12 inches 24 inches 36 inches 42 inches
Answer : the answer is 36 inches because the length it 48 inches and it ratio is 4 and width ratio is 3 so it has to be 36 inches
English is the predominant language spoken in Chile. Question 1 options: True False
whoever answers first gets the crown
Answer: The answer is false!
Step-by-step explanation: You may think its true but NO, its not true!
Answer: false
Step-by-step explanation:
the correct answer is a dialect of spanish, chilean spanish.
Solve for m. 10+8m= – 10m–8
m=
Answer:
Step-by-step explanation: don't know
A Karen's car is shown below.Which is closest to the distance traveled, in feet, after 3 full rotations of the tire? use pi = 22/7.
Answer: This is approximately 3.14
Mackey invested some money in an account paying 6% interest for one year. She invested $1000 more than this amount in an account paying 8.5%. How much did she invest in total if the total interest earned in the year was $737.50?
Step-by-step explanation:
Let's assume the amount Mackey initially invested in the 6% account is x dollars.
According to the given information, Mackey invested $1000 more than x in the 8.5% account, which means she invested (x + $1000) dollars in that account.
The total interest earned from the 6% account would be 0.06x dollars, and the total interest earned from the 8.5% account would be 0.085(x + $1000) dollars.
The total interest earned in the year is given as $737.50, so we can set up the equation:
0.06x + 0.085(x + $1000) = $737.50
Simplifying the equation:
0.06x + 0.085x + 0.085($1000) = $737.50
Combining like terms:
0.145x + $85 = $737.50
Subtracting $85 from both sides:
0.145x = $737.50 - $85
0.145x = $652.50
Dividing both sides by 0.145:
x = $652.50 / 0.145
x ≈ $4500
Therefore, Mackey initially invested approximately $4500 in the 6% account, and she invested $1000 more, which means she invested a total of $5500.
$4500
$4500
$4500
$4500
Mya’s bedroom is 15 feet long, 12 feet wide. It has no windows. Mya wants to paint all four walls. What surface area will she paint?
A) 180 square feet
B) 720 square feet
C) 162 square feet
2/3 - 3/8 Pls help!!!
Step-by-step explanation:
To subtract 3/8 from 2/3, we need to find a common denominator.
The least common multiple of 3 and 8 is 24.
So, we can convert 2/3 and 3/8 to have a denominator of 24:
2/3 = 16/24
3/8 = 9/24
Now we can subtract:
16/24 - 9/24 = 7/24
Therefore, 2/3 - 3/8 = 7/24.
pleasse no wrong answers
Large Polygon 14 x21= 294
Little Polygon 2x(2x2) =8
294-8=286
what is the answer to 1/5(2-25)=2/5(2+20)
Please help SUBTRACT mixed fractions 100 points
PLEASE ANSWER AS FAST AS YOU CAN BUT PLEASE GET THE RIGHT ANSWER!!!
Answer: (-3,-8)
Step-by-step explanation: opposite of (3,-8)
100 POINTS MATHAMATICS PLEASE ANSWER ASAP
look in image and answer ALL 4 PROBLEMS
Which inequalities would have an open circle when graphed? Check all that apply.
t Less-than-or-equal-to 25
-2.5 Less-than-or-equal-to m
x > 5.4
One-half less-than x
x > 0
An open circle is used to graph strict inequalities, which means the inequality does not include the value at the boundary. The inequalities that would have an open circle when graphed are:
x > 5.4
One-half less-than x
x > 0
Using a directrix of y = −2 and a focus of (2, 6), what quadratic function is created?
here are the answers given
\/
f(x) = −one eighth (x − 2)2 − 2
f(x) = one sixteenth (x − 2)2 + 2
f(x) = one eighth (x − 2)2 − 2
f(x) = −one sixteenth (x + 2)2 − 2
Answer:
f(x)=1/16(x-2)^2+2
Step-by-step explanation:
The Equation can be written like this:
f(x) = 1/(4p)(x -h)^2 +(k-p)
where (h, k) is the focus, and p is half the distance between focus and directrix. Here, (h, k) = (2, 6) and p=(6-(-2))/2 = 4. So the equation is ...
f(x) = 1/16(x -2)^2 +2
PLEASE HURRYYYYYYYYYYYYYYYYYYYYYY!!!!!!!!!!!!!!!!!!!!!
Answer:
A) 63\(\frac{351}{441}\)
Step-by-step explanation:
the answer is A) 63\(\frac{351}{441}\)
Answer:
63 Remainder 351
Step-by-step explanation:
For small division problems, the quotient and remainder can easily be thought of. But for larger division problems, long division is one technique that will work for any division problem, no matter how small or large it is.
Let's take a look at how long division works with the simple division problem of 7 / 3 first.
Setting up the problem, it looks like this with the 7 inside the division bracket and the 3 outside.
I need help ASP!!! LAST QUESTION!!!
A submarine began at sea level and descended toward the ocean floor at a rate of −0.015 km per minute. Its final depth was −0.3675 km. Estimate how long it took the submarine to reach its final depth by rounding the dividend and divisor to the nearest hundredth.
Estimate of the dividend:
0.37
0.38
–0.37
–0.38
Estimate of the divisor:
–0.02
–0.2
0.02
0.2
Estimate of the quotient:
1.85
5.67
18.5
23.2
*pick one for each*
Can someone help me.
Answer:
A. x = -6
B. x = 15
Step-by-step explanation:
A.
\(\frac{x}{3}-5=-7\\\frac{x}{3}-\frac{15}{3}=-7\\\frac{x-15}{3}=-7\\x-15 = -7*3\\x-15=-21\\x=-21+15\\x=-6\)
B.
\(\frac{x}{2}-5=2.5\\\frac{x}{2}-\frac{10}{2} = 2.5\\\frac{x-10}{2}=2.5\\x-10= 2.5*2\\x-10=5\\x=5+10\\x=15\\\)
I hope this helps brother! :D
What Congressional Reconstruction successful?
Why/why not
Nate was completing in a book reading contest. He read 9 books a day and 63 a week for 9 weeks. How many books did Nate read in total?
Answer:
567
Step-by-step explanation:
9books a day so 63 divided by 9 is 7 so he read all week so we just simply multiply 63x9