Hi!
Your answer is [tex]5x^2-7x-8[/tex].
We are asked:
[tex](-3x^2-5x+1)+(8x^2-2x-9)[/tex]
As we are adding them, we can remove the parenthesis.
[tex]-3x^2-5x+1+8x^2-2x-9[/tex]
Now, we can switch the order of the terms around to cause like terms to be by each other:
[tex]-3x^2+8x^2-5x-2x+1-9[/tex]
Finally, add like terms:
[tex]5x^2-7x-8[/tex]
5x² -7x -8 is the result of adding the polynomials -3x²-5x +1 and 8x²-2x-9. The result obtained by combining the like terms.
The two polynomials are -3x²-5x +1 and 8x²-2x-9.
To add the two polynomials, you simply combine like terms.
Like terms are terms that have the same variable raised to the same power.
In this case, the variables are x² and x.
Let's add the given polynomials:
= -3x²-5x +1 + 8x²-2x-9
Group the like terms:
= -3x²+ 8x²-5x-2x+1-9
Combine like terms:
= 5x² -7x -8
Hence, 5x² -7x -8 is the result of adding -3x²-5x +1 and 8x²-2x-9.
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pls help i really need it
Answer:
D
Step-by-step explanation:
Since a fraction is a division problem, you can do every answer and compare them until you get them in order, which D is the most reliable.
Write 28 as a product of its prime factors.
Write the factors from smallest to biggest.
Answer:
2^2 × 7
hope this helps
Step-by-step explanation:
:))
both triangles are isosceles triangles with two equal angles of 55 degree . all corresponding sides are congruent
true
false
Answer:
false
Step-by-step explanation:
there is not enough information in order to apply theorems such as:
SSS
SAS
AAS
among others
9j/5-6j simplify your answer. Type a interger or a fraction. Type your answer in the form a+bj
What is the width of 200 feet and 27 feet
Answer:
Length: 7 11/27 ft.
Step-by-step explanation:
200/27 = 7 11/27
Find (x+4) (x²+x-2). Write your answer in standard form.
The product is
Answer:
x³ + 5x² + 2x - 8
Step-by-step explanation:
1) Distribute
(x + 4) (x² + x - 2)
x(x² + x - 2) + 4 ( x² + x - 2)
2) Distribute
x(x² + x - 2) + 4 (x² + x - 2)
x³ + x² - 2x + 4 (x² + x - 2)
3) Distribute
x³ + x² - 2x + 4 (x² + x - 2)
x³ + x² - 2x + 4x² + 4x - 8
4) Combine like terms
x³ + x² - 2x + 4x² + 4x - 8
x³ + 5x² - 2x + 4x - 8
5) Combine like terms
x³ + 5x² - 2x + 4x - 8
x³ + 5x² + 2x - 8
Students in a school were asked to collect old bottles as part of a recycling drive. Some of the data recorded at the drive is shown in the histogram below:
Which information is not provided in the histogram?
The total number of students who collected bottles
The number of students who collected 6 or more bottles
The number of students who collected exactly 4 bottles
The total number of students who collected 12 or more bottles
Answer:
c
Step-by-step explanation:
As, there is no as such information regarding to number of students who collected exactly 4 bottles in histogram.
21-25 Use the form of the definition of the integral given in Theorem 4 to evaluate the integral.
23. [tex]\int_{-2}^{0}\left(x^{2}+x\right) d x[/tex]
[tex]\displaystyle \int^0_{-2} (x^2 +x )~dx\\\\\\=\displaystyle \int^0_{-2} x^2~ dx +\displaystyle \int^0_{-2}x ~ dx\\\\\\=\dfrac 13 \left[x^3 \right]^{0}_{-2}+ \dfrac 12 \left[ x^2\right]^{0}_{-2}\\\\\\=\dfrac 13 (0+8) + \dfrac 12 (0-4)\\ \\\\=\dfrac 83 - \dfrac 42\\\\\\=\dfrac 83 - 2\\\\\\=\dfrac 23[/tex]
Identify the type of function represented by f(x)= 3(1.5)*.
A. Quadratic
B. Exponential decay
C. Linear
D. Exponential growth
By checking the definitions of typical functions, we conclude that the function f(x) = 3 · 1.5ˣ is an exponential growth function. (Correct answer: D)
How to determine the nature of the function
In this question we must determine the kind of function according to its characteristics based on definitions of typical functions, which are represented below:
Quadratic
y = a · x² + b · x + c
This function is reduced into a linear function when a = 0.
Exponential
[tex]y = a \cdot b^{c\cdot t}[/tex]
Where:
c > 0 - Exponential growth.c < 0 - Exponential decay.By checking the definitions of typical functions, we conclude that the function f(x) = 3 · 1.5ˣ is an exponential growth function. (Correct answer: D)
Remark
The statement is poorly formatted. The correct statement is presented below:
Identify the type of function represented by f(x) = 3 · 1.5ˣ:
A. Quadratic
B. Exponential decay
C. Linear
D. Exponential growth
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15. Higher Order Thinking Nancy made a
table runner that has an area of 80 square
inches. The length and width of the table
runner are whole numbers. The length is
5 times greater than the width. What are
the dimensions of the table runner?
0
What are the dimensions of the table runner
The length of the rectangle is 20 inches, and the width of the rectangle is 4 inches if the table runner has an area of 80 square inches. The length and width of the table runner are whole numbers. The length is 5 times greater than the width.
What is the area of the rectangle?It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.
The formula for finding the area of a rectangle is given by:
Area of rectangle = length × width
The area of the table runner = 80 square inches
Let's assume the length of the rectangle is L and the width is W
Then L = 5×W ...(1)
L×W = 80 ...(2)
Put the value of L in the equation (2)
5W(W) = 80
5W² = 80
W² = 16
W = ±4
Width cannot be negative.
W = 4 inches putting this value in the equation (1)
L = 5(4) = 20 inches
Thus, the length of the rectangle is 20 inches, and the width of the rectangle is 4 inches if the table runner has an area of 80 square inches. The length and width of the table runner are whole numbers. The length is 5 times greater than the width.
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ABC and ACD are both right angled triangles. a) explain why the length of AC is 13cm.
Answer:
In the picture attached, the question is shown.
a) Applying Pythagorean theorem to triangle ABC, and solving for AC:
CB² + BA² = AC²
5² + 12² = AC²
√169 = AC
13 cm = AC
b) Applying Pythagorean theorem to triangle ACD, and solving for AD:
CD² + AC² = AD²
5² + 13² = AD²
√194 = AD
13.9 cm = AD
Step-by-step explanation:
Need help with this I’d really appreciate it
Which two expressions are equivalent?
F. 13 + (16 - x) and (16 + x) + 13
G. x + (4 • 5) and (x + 4) • 5
H. 7(10 + x) and (7 • 10)+ x
J. (8 + x) + 9 and 8 + (x + 9)
A football team loses 5 yards on each of 3 consecutive plays. What signed number represents the team's total loss of yards on the 3 plays?
Answer:
change below :)
Step-by-step explanation:
You would start out at in the middle of a number line (horizontal). After the first play, you would move to the left on the line 5 spots (to simulate 5 yards lost) and then make a dot to show your new position. You would do the same thing for the next two plays, moving 5 spots to the left each play and creating a new starting point each time. The total spots moved after the 3 plays is 15 spots to the left.
Solve the compound inequality 4x – 7 > 5 or 5x + 4 ≤ –6
Answer:
inequality form: x [tex]\leq[/tex] -2 or x > 3
interval notation form: (-∞,-2] ∪ (3,∞)
Step-by-step explanation:
I attached a picture that shows all the work. You begin by isolating then solving for x on both sides. Then form a solution using the information found out about x. For example, you can combine the found inequalities for x to solve that x must be GREATER than 3 while being LESS than -2. Using that you can form an line and make a line. Remember, when writing in interval notation form you always begin from the left to the right (in reference) to the number line.
The width of a golden rectangle is 15 feet. Find the perimeter of the rectangle to the nearest foot.
39 feet
64 feet
79 feet
72 feet
96 feet
Answer:
79 ft
Step-by-step explanation:
Golden rectangle side ratios 1 : (1+sqrt5 )/2
(approx 1: 1.618)
15 + 15 + 2*15*1.618 = ~79 ft
BUT perhaps the 15 is the 1.618 side
15/1.618 + 15/1.618 + 15 + 15 ~ 49 feet
1. What type of insurance do you think you will first purchase (or have purchased)? Why?
Answer:
Car insurance
Step-by-step explanation:
Because most people will start driving at the age of 15 and have a license by the age of 16. In order to drive a car, you will need car insurance.
Hope this helps!
Joe is measuring the widths of doors he bought to install in an apartment complex. He
measured 72 doors and found a mean width of 36.1 inches with a standard deviation of
0.3 inches. To test if the doors differ significantly from the standard industry width of 36
inches, he computes a z-statistic.
-M
Z=
on
What is the value of Joe's z-test statistic?
Thank you
The value of z test statistics is 2.83.
What is z score?Simply said, a z-score, also known as a standard score, informs you of how far a data point is from the mean. Technically speaking, however, it's a measurement of how many standard deviations a raw score is from or above the population mean.
You can plot a z-score on a normal distribution curve. The range of Z-scores ranges from -3 standard deviations (which would be on the far left of the normal distribution curve) to +3 standard deviations (which would fall to the far right of the normal distribution curve). You must be aware of the mean and population standard deviation in order to use a z-score.
Given mean = x = 36.1 inches
standard deviation = σ = 0.3
sample size = n = 72
and μ = 36.1
here z = (x - μ)/(σ/[tex]n^{1/2}[/tex])
z = (36.1 - 36 )(0.3/[tex]72^{1/2}[/tex])
z = 0.1/0.0354
z = 2.8248
z = 2.83
Hence the value of z test is 2.83.
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2.
A standard piece of paper is estimated to be 0. 00005 meter thick. If the thickness, in meters,
of a standard piece of paper is rewritten as 5 x 10*, what is the value of x?
Answer:
x = -5
Step-by-step explanation:
[tex]0.00005 = 5 \times {10}^{ - 5} \\ \\ \implies \: x = - 5[/tex]
A triangle has sides with lengths of 15 meters, 36 meters, and 39 meters. Is it a right triangle?
Which of these numbers is in the solution set of 9x = 63? A. 9 B. 7 C. 8 D. 6
Answer:
B: 7
Step-by-step explanation:
9x = 63
9/63 = 7
The number that is in the solution set of [tex]9x=63[/tex] is [tex]7[/tex]
(this is probability)
Answer:
Step-by-step explanation:
P(less than 6) = 2/5
There are 5 spaces total. Of these, only 2 spaces are less than 6, namely the pizza slices labeled "4" and "5".
That's how we get to 2/5
26,30,45,43,26,14,28,33,56,29,what is the mean absolute deviation of the data set
Answer: 9.
Step-by-step explanation: To find the MAD (mean absolute deviation) we need to do the following steps below:
1. Find the mean.
2. Subtract the mean from the numbers of the data.
3. Add the results and divide to find the MAD.
The steps are done below:
1. Find the mean: In order to find the mean of a data set, you need to add all the numbers and then divide the result by how many numbers there are in the data set. In this problem, there are 10 numbers in the data set, so whatever we get for adding the data numbers together needs to be divided by 10.
26 + 30 + 45 + 43 + 26 + 14 + 28 + 33 + 56 + 29 = 330.330 / 10 = 33.2. Subtract the mean from the numbers of the data: To do this, we need to subtract 33 from all the numbers on the data. The following is done below. (*Note: You may notice that most equations like 26 - 33 would be in the negatives, but for data, it has to be positive. If you ever run into a situation like that, you simply just make it positive).
26 - 33 = 7.30 - 33 = 3.45 - 33 = 12.43 - 33 = 10.26 - 33 = 7.14 - 33 = 19.28 - 33 = 5.33 - 33 = 0.56 - 33 = 23.29 - 33 = 4.3. Add the results and divide to find the MAD: Now that we have the results, we add those numbers and then divide to find the MAD. Make sure that when you divide that it is 10 that you're dividing because once again, there are 10 numbers for the results.
7 + 3 + 12 + 10 + 7 + 19 + 5 + 0 + 23 + 4 = 90.90 / 10 = 9.Therefore, 9 is the MAD.
Let me know if this is right! :)
. The fourth grade class is donating 100 clothing items to charity. 63 hundredths of the items are sweaters and 0.20 of the items are jeans. What part of the clothing items are neither sweaters nor jeans? Write the number as a fraction with a fraction with a denominator of 100.
Answer: 17/100
Step-by-step explanation:
63/100 is sweaters and 20/100 is jeans and when you add them together you get 83/100. 100/100-83/100=17/100
7+8+21+33+?=an average of 17
A mean is an arithmetic average of a set of observations. The value of the unknown number is 16.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
Mean = (Sum of observations)/Number of observations
Let the unknown number be represented by x.
As per the formula of averages, we can write,
Mean = (Sum of observations)/Number of observations
(7 + 8 + 21 + 33 + x)/5 = 17
(69 + x) / 5 = 17
Multiply both the sides of the equation by 5,
(69 + x)/5 × 5 = 17 × 5
69 + x = 85
Subtract 69 from both the sides of the equation,
69 + x - 69 = 85 - 69
x = 16
Hence, the value of the unknown number is 16.
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if x² = 64, then 1/3 + x⁰
Answer:
4/3 or 1 1/3
Step-by-step explanation:
Finding x
x² = 64x = ±8Substitute in the equation
1/3 + (±8)⁰1/3 + 14/3 or 1 1/3Answer:
[tex]\huge\boxed{\bf\:\frac{4}{3} }[/tex]
Step-by-step explanation:
If, [tex]x^{2} = 64[/tex], then,
[tex]x^{2} = 64\\x = \sqrt{64}\\x = (+/-)8[/tex]
Now, remember that any number when folllowed by exponent 0 will always have its value as 1.
Then,
[tex]\frac{1}{3} + x^{0} \\ =\frac{1}{3} + (+/-8)^{0} \\= \frac{1}{3} + 1\\=\frac{1}{3} +\frac{3}{3} \:\:\:\: (LCM = 3)\\ \boxed{\bf\:\frac{4}{3} }[/tex]
[tex]\rule{150pt}{2pt}[/tex]
What feature might Samantha have used to sort these shapes into the same group
Answer:
picture?
Step-by-step explanation:
Select the true equations from 2 lb =32 oz , 4oz = 64 lb , 3lb 4 oz = 52 oz , 0.5 lb = 12 oz , 3 T = 600 lb , 0.5 T = 1000 lb
I need help with conversation rates. So it says
Approximately 30,300 citizens of a country died in an automobile accidents in 2015. Express this toll in deaths per day.
Answer:
144 deaths
Step-by-step explanation:
So, assuming it's not a leap year 30,300 must be divided by the number of days in the year to get the daily amount.
30,300/365 = 114.339....
since 3 is not greater than 5, the 144 does not round up but stays the same.
(Since you cannot have a fraction of a death)
114 is your answer
hope this helps :)
Given z1 = 5 – 2i and z2 = 3 + 2i, which letter represents z1 – z2?
[tex]z_1 - z_2 \\\\=(5-2i) -(3+2i)\\\\=5-2i-3-2i\\\\=2-4i[/tex]
Answer:
z1 - 2z = 2
Step-by-step explanation:
make 2i stand alone in both equations
therefore, in equation one, we have;
z1-5=-2i
5-z1=2i
we do same in equation 2
z2-3=2i
therefore, comparing the two equations, we can equate them!
2z-3=z1-5
-3+5=z1-2z
2 = z1 - 2z
therefore, z1 - 2z = 2