[tex]\text{Hello! :)}[/tex]
[tex]\large\boxed{(3x + 4)(x + 8)}[/tex]
[tex]\text{Factor the polynomial:}\\3x^{2} +28x +32\\\\\text{Find two numbers that multiply into 32 and sum up to 28.}\\\text{Take into account the leading coefficient of 3:}\\\\\text{The numbers 4 and 8 work; arrange them so that they sum up to 28:}\\\\(3x + 4)(x + 8)[/tex]
Given f(x) = 2x + 15 and g(x) = 7x - 4,
find (f o g)(x).
Answer:
Step-by-step explanation:
f(g(x))
g(x) = 7x -4
f(7x - 4) = 2(7x - 4) + 15 = 14x - 8 + 15 = 14x + 7
What is standard form?
Y = mx + b
O Ax+By = C
a^2 + b^2 = 2^2
m is the slope
Answer:
I'm pretty sure y=mx+b is standard form, unless I'm reading the question wrong.
Step-by-step explanation:
Help please!!!
Three fourths of the difference of a number and 7 is negative filteen. What is the number?
Answer:
The number is 27
Step-by-step explanation:
let the number be x
3/4 ( 7-x)=-15
21/4 - 3/4x=-15
collect like terms
-3/4x=-15-21/4
-3/4x=-81/4
divide both sides by -3/4
x=27
Two samples were taken of fish caught on Small Lake and are shown in the table below. It is estimated that the Small Lake fish population is roughly 1,000 fish. What is the average number of brown trout in the lake? Small Lake Fish Sample 15 Sample 1 Rainbow Trout Brown Trout Largemouth Bass 11 Sample 2 Rainbow Trout Brown Trout Largemouth Bass 3 1 9 11 43 ООО 80 160 333.
Answer:
b or 80
Step-by-step explanation:
80 is the average number of brown trout in the lake.
What is Mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.
given, Two samples were taken of fish caught on Small Lake and are shown in the table given.
Total fish were taken in both samples = 9 + 3+ 15 + 11 + 1 + 11
Total fish were taken in both samples = 50
Brown fish in both samples = 3 + 1
Brown fish in both samples = 4
Thus,
the average number of brown trout in the lake = 4/50 * 1000
Since there are 1000 fish in total in the lake
the average number of brown trout in the lake = 80
Therefore, the average number of brown trout in the lake is 80.
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Complete question:
3. On a coordinate grid, the location of a lighthouse is at L, and the location of a buoy is at B. At noon, a ship is at the midpoint of the segment connecting the buoy and the lighthouse on the grid. Find the coordinates that best represent the ship's position at noon?
Answer:
b
Step-by-step explanation:
im 50% sure this write dont blame me man
The coordination of the ship's position at noon will be (0.5,2).
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. they are typically expressed by the x-value and y-value pairs (x,y).
As per the given L(-4,7) and B(5,-3)
The midpoint of the above coordinates will be given as,
x = (-4 + 5)/2 = 1/2
y = (7 - 3)/2 = 2
Thus, (0.5,2) will be the location of the ship.
Hence "The coordination of the ship's position at noon will be (0.5,2)".
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The missing photo is attached below,
Cesar has read 89 pages of a book for his
English class. If the book has 257 pages and
he can read 21 pages per hour, how many
hours will it take Cesar to finish the book?
a. 168
b. 8
C. 12
d. 5
Answer:
X=8
Step-by-step explanation:
First subtract the read pages with the unread pages which is 168.
Then let 21 pages = to one hour then 168pages(the remaining pages) = x then cross multiply and divide then your answer will be 8
Find the sum (9r2+4r-7)+(3r2-3r)
Answer:
12r^2 +r-7
Step-by-step explanation:
A rectangle has a width of (3x² – 5x – 2) units and a length of (2x² + 12x - 4) units. Create a simplified expression of the form ax+ bx + c for the perimeter of the rectangle.
Perimeter = ........... units
Answer:
b=(3x² – 5x – 2)
l=(2x² + 12x - 4)
perimeter= 2(l+b)
=2( 2x² + 12x - 4+3x² – 5x – 2)
=2(5x²+7x-6)
=(10x²+14x-12) units
Hope it helps:-)
Need help with this question!!!
Pls explain!!!
3=-(4x+7)+3x
Answer:
x=-10
Step-by-step explanation:
3=-(4x+7)+3x
move all terms to the left:
3-(-(4x+7)+3x)=0
calculate terms in parentheses: -(-(4x+7)+3x), so:
-(4x+7)+3x
add all the numbers together, and all the variables
3x-(4x+7)
get rid of parentheses
3x-4x-7
add all the numbers together, and all the variables
-1x-7
Back to the equation:
-(-1x-7)
get rid of parentheses
1x+7+3=0
add all the numbers together, and all the variables
x+10=0
move all terms containing x to the left, all other terms to the right
x=-10
Find the area of a rectangle with base 4 ft and helght 4 in.
Answer:
16in ^2
Step-by-step explanation:
4*4
Answer:
Area of rectangle is 16
Step-by-step explanation:
Area of rectangle = base, 4, times the height, 4
Area of rectangle = 4 times 4
Area of rectangle = 16
Solve the system of equations: 3x + 4y = 11 x – 2y = – 3
Answer:
{x,y}={1,2}
Step-by-step explanation:
If f(x) = 8.3x + 8.1, solve f(x) = 65.37. Type your answer as a decimal rounded to the nearest tenth.
Answer:
The answer is 6.9Step-by-step explanation:
f(x) = 8.3x + 8.1
To solve f(x) = 65.37 , equate f(x) to 65.37 and solve for the value of x
That's
8.3x + 8.1 = 65.37
Subtract 8.1 from both sides
That's
8.3x + 8.1 - 8.1 = 65.37 - 8.1
8.3x = 57.27
Divide both sides by 8.3
[tex] \frac{8.3x}{8.3} = \frac{57.27}{8.3} \\ x = 6.896385[/tex]
We have the final answer as
6.9 to the nearest tenthHope this helps you
Can someone please help
Answer:
-6 degrees F
Step-by-step explanation:
We start with -8F as the temperature. It fell 10 degrees to 2F, then fell 8 degrees to -6F.
Answer:
The answer is 10 because -8 plus 10 is 2 - (-8) is still 10 however that's in a calculator the correct answer is -6
Determine the answer to (−5) + 4 and explain the steps using a number line.
Answer:
-1
Step-by-step explanation:
when adding on a number line you always go to the right.
-5+4=-1 , so you would move 4 places to the right on the number line.
For the pair of functions, find (f o g)(x) and (gof)(x).show work!!!!!
f(x) = -2x^2, g(x) = x + 4
A. (fog)(x) = -2x^2– 8x^2; (gof)(x) = -2x^3 - 8x^2
B. (fºg)(x) = -2x^2– 16x - 32; (g = f)(x) = -2x^2+ 4
C. (fog)(x) = -2x^2 + 4; (g e f)(x) = -2x^2- 16x - 32
D. (fog)(x) = -2x^2- 32; (go 3)(x) = -2x^2 + 4
The function (f·g)(x) is -2x³-8x²and the function (g·f)(x) is -2x³-8x². Therefore, the correct answer is option A.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given functions are f(x)=-2x² and g(x)=x+4.
Now, (f·g)(x)=f(x)×g(x)
= -2x² ×(x+4)
(f·g)(x)= -2x³-8x²
Here, (g·f)(x)=g(x)×f(x)
= (x+4)×(-2x²)
(g·f)(x)= -2x³-8x²
Therefore, option A is the correct answer.
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Please help me. I have been struggling with prob and stats.
Answer:
Step-by-step explanation:10
can someone please solve the question above.
Answer:
y = -7x + 11
Explanation:
Just get y by itself. Subtract 7x from both sides. Substitute in each x value individually to get the next answers, which will be 25, 11, and -10.
i need help with my math problem 8(−12)=
Answer:
The answer is -96
Step-by-step explanation:
First, you need to think of the question as a normal multiplication question. When there is a number in parenthesis next to a number with no symbol in between, that means multiplication. So multiply 8 with 12. This would equal 96. Since the sign of the greater number is negative, you would put a negative sign before the number 96, giving you the answer -96.
I hoped that helped! You are welcome! :)
2. Write the equation of the line that goes through (5, 4) and has a slope
NEEED HELLLPPPPP PLEASEEE
Option 2
Step-by-step explanation:
[tex](5,4) = (x_1,y_1) \\ m = \frac{4}{5} [/tex]
Substitute values into the point slope form
y-y1 =m(x-x1)
y- 4= 4/5(x-5)
y -4= 4/5x -4
y= 4/5 x -4+4
y= 4/5x
If mZQOS = 49, mZPOR = 65, and mZPOQ = 28, what is mZROS?
0
mZROS =
(Type an integer or a decimal. Do not include the degree symbol in your answer.)
Sarah has 5⅓ cups of cat food. Her cat eats ⅔ of a cup each day. How many days will the food last?
Answer:
It will last 8 days
Step-by-step explanation:
divide 5 1/3 by 2/3
what is the common denominator of 1/8 -5/3
Answer:
-37/24
Step-by-step explanation:
step by step what is -1/3 divided by 1/2
Answer:
-2/3
Step-by-step explanation:
Step 1:
-1/3 ÷ 1/2
Step 2:
-1/3 × 2/1
Answer:
-2/3
Hope This Helps :)
y is inversely proportional to the cube of x. It is given that for a certain value of x, the value of y is 7. Find the new value of y when x is doubled.
Inversely proportional means as one variable increases the other variable decreases.
In this problem, x is doubled which means it's increased, therefore, y is decreased.
7 / 2 = 3.5
The new value of y is 3.5
67+k = 83
solve for k
no work needed
Answer:
k = 16
Step-by-step explanation:
Isolate the variable, k. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
Subtract 67 from both sides of the equation:
k + 67 = 83
k + 67 (-67) = 83 (-67)
k = 83 - 67
k = 16
16 is your answer for k.
~
Whats a Radicant? I don't mean a radicand, radical, or radical sign. A Radicant. I can't find anything about it anywhere! :( Please explain in the simplest way you can too pls!
Answer:
The number under the (radical) symbol. That is, a number which is having its square root taken (or cube root, 4th root, 5th root, nth root, etc.). For example, 3 is the radicand in .
Step-by-step explanation:
Which of the following statements best describes the value of the expression 8x – 5, when x = 3? A. The result is not a whole number. B. The result is a prime number. C. The result is a composite number. D. The result is a whole number that is neither prime nor composite. help lol
Answer:b
Step-by-step explanation:8 times 3 is 24 minus 5 is 19. prime numbers are 1 times itself so its B and composite numbers are like four 2 times 2 and 4 times 1.
Answer: B
Step-by-step explanation: When you insert the 3 in place of x, the equation is 8(3)-5 which equals 19. Composite means that numbers can be multiplied to get it. For example, the number 12. You can multiply 3 and 4 or 2 and 6 to get it, making it a composite number. For a number to be prime, the only numbers that can be multiplied to get it is 1 and itself. Let's use the number 3 as an example. The only way you can get 3 by multiplying is by multiplying 1 and 3 (1 and itself as said before). Hope this helps!
(25 X 43) + (25 x 57) =
Answer:
2500
Step-by-step explanation:
Step 1:
( 25 × 43 ) + ( 25 × 57 )
Step 2:
1075 + 1425
Answer:
2500
Hope This Helps :)
Find the distance between the two points. (-1, 6), (2, 8) Round to the nearest hundredth
Answer:
[tex]d = \sqrt{13}[/tex] or d = 3.61
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(2-(-1))^2+(8-6)^2}\\d= \sqrt{(3)^2+(2)^2}\\d= \sqrt{9+4}\\d= \sqrt{13}[/tex]
The distance between points (-1, 6) and (2, 8) is obtained as 3.59 units.
How to use distance formula?The distance formula is used to find the distance between two points (x₁, y₁) and (x₂, y₂) as √((x₁ - x₂)² + (y₁ - y₂)²).
By knowing the sides, the area of different polygons such as parallelogram, trapezium and rectangles etc. can be found.
The coordinates of the given points are (-1, 6) and (2, 8).
Apply distance formula to get the distance as below,
Distance = √((-1 - 2)² + (6 - 8)²) = √13 = 3.59
Hence, the required distance between the two points is given as 3.59 units.
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Which number is IRRATIONAL?
25.23
8
which number is irrational? 25.23 is irrational because 8 is a rational number.
Answer:
None
Step-by-step explanation:
First let's define the meaning of irrational.
It means "no ratio", which is a number that goes on forever without repeating (e.g. pi and the square root of 2)
25.23 is rational and 8 is also rational.