Answer:8m^2n - 32m^2 + 15n^2 - 18mn^2
Step-by-step explanation:
4m x 2mn = 8m^2n
4m x -8m = -32m^2
3n x 5n = 15n^2
3n x -6mn = -18 mn^2
when you add them all together,
8m^2n - 32m^2 + 15n^2 - 18mn^2
The function has a y-intercept of (0, 4) and a multiplier of 0.8. 1) Whats the initial value? 2) Is it exponential growth or decay? 3) What is the exponential equation?
Answer:
1) 4
2) exponential decay
3) [tex]y = 4(0.8)^x[/tex]
Step-by-step explanation:
1) The initial value or an exponential function is the y-intercept.
Let us consider a standard exponential function of the form y(x) = a•bˣ , if you put in x = 0 (initial value) we get:
y(0) = a•bˣ = a•b⁰ = a•1 = a , so the y-intercept is a , which is called the initial value.
Therefore the y intercept is 4
2) Since the multiplier is greater than 0 and less than one, it is an exponential decay
3) standard exponential function of the form y(x) = a•bˣ, at (0,4),
4 = a(b)⁰
a = 4
b = multiplier = 0.8
Therefore: [tex]y = 4(0.8)^x[/tex]
f(x) = x + 2
g(x) = x - 4
(f g)(x) =
0 2x- 2
O x² – 8
o x² – 2x- 8
o x² + 2x - 8
Answer:
(fg)(x) = x^2 -2x -8
Step-by-step explanation:
(fg)(x) = f(x)·g(x) = (x +2)(x -4)
= x(x -4) +2(x -4) = x^2 -4x +2x -8
= x^2 -2x -8 . . . . matches the 3rd choice
The double number lines show the ratio of minutes to days. How many minutes are in 2 days
Answer:
2880 minutes are in two days
Liam and his children went into a movie theater and will buy bags of popcorn
and pretzels. He must buy at least 8 bags of popcorn and pretzels altogether.
Write an inequality that would represent the possible values for the number
of bags of popcorn purchased, b, and the number of pretzels purchased, p.
Answer:
At least can be denoted by the inequality operator ≥. We need to find the sum of popcorn and pretzels which can be written as b + p so the answer is:
b + p ≥ 8.
Please help me will mark brainliest
Answer:
-10
Step-by-step explanation:
How many observations are accounted for in the stem and leaf graph?
A) 5
B) 7
C) 18
D) 19
Answer:
C) 18
Step-by-step explanation:
numbers are 100,101,90,93,94,94,95,81,86,87,89,70,72,76,69,56,58,49
The base of an isosceles triangle is one and a half times the length of the other two sides. A smaller triangle has a perimeter that is half the perimeter of the first. Write an expression for the perimeter of the smaller triangle and combine like terms. What is the simplified expression?
0.75s
2.5s
1.75s
5s
Step-by-step explanation:
Isosceles means that two sides are equal.
if the base is 1½s the other two sides will be ½s and½s
thus perimeter=1½+½+½ =2½s
smaller triangle:
perimeter=½(1½s+½s+½s)
=½(2½s)
=1¼s convert to decimal
=1.75s
The simplified expression of the given situation is 1.75s.
The correct option is C.
What is an isosceles triangle?A triangle that has two equal lengths of sides and two equal measures of angles is called an isosceles triangle.
Given:
The base of an isosceles triangle is one and a half times the length of the other two sides.
Let s represents the side of the triangle.
The base = ([tex]1\frac{1}{2}[/tex])s = 3s/2
So, the other two sides are s and s.
So, the perimeter,
= 3s/2 + s/+ s
= 7s/2
A smaller triangle has a perimeter that is half the perimeter of the first.
That means,
the perimeter of the smaller triangle,
= 1/2(7s/2)
= 7s/4
= (1.75)s
Therefore, (1.75)s is the required expression.
To learn more about the isosceles triangle;
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what is 5k+(-2k)-(-1)
Answer:
Brainliest goes to me!
Step-by-step explanation:
5k-2k+1
3k+1
PLS HELP ILL MARK YOU BRAINLIEST 45 POINT Part A: Create a fourth-degree polynomial with three terms in standard form. How do you know it is in standard form? Part B: Explain the closure property as it relates to addition of polynomials. Give an example.
Answer:
A fourth degree polynomial:
[tex]2x^{4} + 10x^{3} + 21[/tex]
The closure property in relation to addition of polynomials means that any polynomials added together will result in another polynomial. For example
(10x^2 + 12) + (x^2 + 6) = 11x^2 + 18
This demonstrates closure because 11x^2 + 18 is also a polynomial
Step-by-step explanation:
Part A: [tex]x^{4}+2x+20[/tex] is a fourth degree polynomial with three terms and it proved that it is in standard form
Part B: Closure property has been proved in the addition of polynomials
What is Polynomial?
A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Part A
Example of fourth degree polynomial with three terms is
[tex]x^{4}+2x+20[/tex]
The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on
Hence, it is a standard form
Part B
The closure property in relation to addition of polynomials means that any polynomials added together will result in another polynomial
Example
(2x+6)+(5x+2)= 7x+8
Hence, the Closure property has been proved in the addition of polynomial
Learn more about Polynomial here
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anyone know this please ;)
Answer:
The planet to have the biggest mass is Jupiter
the radius of mercury is 2.44 × 10^5
the difference in mass between Jupiter and Saturn is 2.2 × 10⁴
What is the simplified form of this expression?
Answer:
B. -7[tex]x^{2}[/tex] + 3x + 5
Step-by-step explanation:
(-3[tex]x^{2}[/tex] + x + 5) - (4[tex]x^{2}[/tex] - 2x)
-3[tex]x^{2}[/tex] + x + 5 - 4[tex]x^{2}[/tex] - 2x
Combine like terms
-3[tex]x^{2}[/tex] - 4[tex]x^{2}[/tex] = -7[tex]x^{2}[/tex]
x - -2x = x + 2x = 3x
5
-7[tex]x^{2}[/tex] + 3x + 5
I hope this helps :))
what is a slope of the line?
Answer
0
Step-by-step explanation:
A horizontal line has a slope of 0 always
If the regular recipe that makes 14 pancakes calls for 1 cup of milk, how many cups should I use to make 21 pancakes? Group of answer choices 1 cup 2 cups 0.5 cups 1.5 cups
Answer:
x = 1 1/2 cups
1.5 cups
Step-by-step explanation:
We can use ratios to solve
14 pancakes 21 pancakes
------------------ = ------------
1 cup x cups
Using cross products
14x = 21*1
Divide each side by 14
14x/14 = 21/14
x = 3/2
x = 1 1/2 cups
Isabelle is mixing red paint with blue paint to make purple paint. She adds of a fluid ounce of red to of a fluid ounce of blue to make fluid ounces of purple. How many fluid ounces of red paint will she need to make 3 fluid ounces of purple paint?
A.
fluid ounce
B.
fluid ounce
C.
fluid ounce
D.
fluid ounces
Answer: the correct answer will be 27/31
Step-by-step explanation:
Which number produces a rational number when added to 5/8 ?
A. 0.777....
B. 5/6
C. 0.13241536...
D. -0.625
Answer:
option c is correct
Step-by-step explanation:
please mark me brainlest
please thanks
Answer:
Step-by-step explanation:
Answer is C. 0.132
perform the indicated operation 5/11 + 9/11
Answer:
It would be 14/11
when you make it a mixed number, it'll be 1 3/11
Step-by-step explanation:
You can't simplify it more than 3/11 so
1 3/11
Which numbers are the extreme of the proportion shown below?
Answer:
4,35
Step-by-step explanation:
4/7 = 20/35
Converting it into ratio form
4:7 = 20:35
The Extremes of this proportion are 4,35
While, the means of this proportion are 7, 20
What is the probability of getting tails when you flip a coin?
Answer: We conclude that the probability to flip a head is 1/2, and the probability to flip a tail is 1/2.
the sum of ages of Ali and Adam is 45 years. if Ali is 5 years younger than Adam what is their ages
Answer:
Ali is 20
Adam is 25
Step-by-step explanation:
f(n) = 9+ 5n; 64
determine which term produces the given answer?
Answer:
the 11th term
Step-by-step explanation:
f(n) = 9+ 5n;
Let f(n) =64
64 = 9+5n
Subtract 9 from each side
64-9 = 9+5n-9
55 = 5n
Divide each side by 5
55/5 = 5n/5
11= n
Gas mileage actually varies slightly with the driving speed of a car (as well as with highway vs. city driving). Suppose your car averages 26
miles per gallon on the highway if your average speed is 45
miles per hour, and it averages 18
miles per gallon on the highway if your average speed is 65
miles per hour. Answer parts (a) and (b) below.
a. What is the driving time for a 2500
-mile
trip if you drive at an average speed of 45
miles per hour? What is the driving time at 65
miles per hour?
Answer:
Step-by-step explanation:
Suppose the car mileage actually varies slightly with the driving speed of the car
Suppose your car averages 26 miles per gallon on the highway if your average speed is 45 miles per hour,
and it averages 18 miles per gallon on the highway if your average speed is 65 miles per hour.
The driving time for a 2500-mile trip if you drive at an average speed of 54 miles per hour
[tex]= \frac{Distance}{Speed} = \frac{2500 }{45} \\\\= 55.56 hours.[/tex]
The driving time for a 2500-mile trip if you drive at an average speed of 65 miles per hour
[tex]= \frac{Distance}{Speed} = \frac{2500 }{65} \\\\= 38.46 hours.[/tex]
Which situation is best modeled with a division expression?
finding the number of equal-sized parts into which a number can be split
finding the combined value of several different numbers
finding the distance between two numbers on a number line
finding the total value when several of the same number are grouped together
Answer: Finding the number of equal-sized parts into which a number can be split
Step-by-step explanation:
Hi, a division expression is the division of 2 numbers that results in a quotient.
The quotient is the number of times that the second number in the division is contained in the first number.
For example 20 ÷ 2 = 10
Number 2 is contained 10 times in the number 10, or in other words, 20 can be split into ten equal-sized parts.
Feel free to ask for more if needed or if you did not understand something.
Answer:
A
Step-by-step explanation:
for edge
Please help me asap!
Answer:
x value is 10 as per as the question its value is 10
A certain brand of candy is sold by weight, with a 3 oz bag costing $0.75. if a bag of this candy costs $2.00, what does it weight
Answer:It weights 8 oz.
Step-by-step explanation:
[tex]\frac{3}{0.75} = \frac{x}{2}[/tex] solve by cross product
0.75x = 6 now divide both sides by 0.75
x= 8
Given g(x)=-5x-4, solve for x when g (x)=1
Answer:
1 = -5x-4 add 4 to both sides
-5x = 1+4 divide both sides by (-5)
x = -5/5
x= -1
Debbie buys a tree for the holidays. She would like to determine the amount of space it will take up in her living room. The tree is cone shaped and has a radius of 2 feet. Find the volume of the tree if it is in the shape of a cone and its height is two times its radius. The radius of a cone whose height is is equal to two times its radius is given as: r equal to cube root of (3V/4π)
Answer:
Volume of Cone =
[tex]= \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3[/tex]
Thus, Volume = 16.75 cubic feet
Step-by-step explanation:
Volume of a cone is given by the formula
[tex]V=\frac{1}{3}\pi r^2 h[/tex]
Where r is the radius and
h is the height
Given radius r = 2 and
height is 2 times that.
So height is 2*2 = 4
Plugging these into the formula we get:
Volume of Cone =
[tex]= \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3[/tex]
Thus, Volume = 16.75 cubic feet
(02.03)At a dog shelter, a 26-pound bag of dog food will feed 40 dogs. How many dogs would you expect to feed with a 13-pound bag of dog food? (Input only whole numbers.)
What are the solutions to the equation? 4x=32-x^2
Answer:
-8 and 4
Step-by-step explanation:
4x=32-x^2x^2 +4x - 32=0x^2+4x+4 - 36=0(x+2)^2- 6^2=0(x+2+6)(x+2-6)=0x+8=0 ⇒ x= -8x-4=0 ⇒ x=44x = 32 -x^2
Subtract 4x from both sides and rearrange the equation:
-x^2 -4x +32 = 0
Use the quadratic equation x = -b +\ - sqrt(b^2-4ac)/ 2a
From the rewritten equation: a=-1, b = -4 and c = 32
Solving for x you get x = -8 and x = 4
The solutions are -8 and 4
Please help! It’s an easy multiple choice question. Question in the photo.
Answer:
Step-by-step explanation:
Just so you know, the answer is NOT B, as one person stated.
In order for a right triangle to be a right triangle, 2 things have to happen. One is that it has a hypotenuse, which by definition, is the longest side in a right triangle. To test to see if that hypotenuse is actually a hypotenuse, the square of it has to be equal to the sum of the squares of the other 2 sides. Let's test a first.
Keeping in mind that the longest side has to be the hypotenuse, in a. our hypotenuse would have to be 17. Using Pythagorean's Theorem to test:
[tex]8^2+15^2=17^2[/tex] and
64 + 225 = 289 and
289 = 289. So a is a right triangle. Now for b:
[tex]20^2+21^2=29^2[/tex] and
400 + 441 = 841 and
841 = 841. So b is also a right triangle. Now for c:
[tex]9^2+16^2=18^2[/tex] and
81 + 256 = 324 and
337 = 324. Obviously, 337 does not equal 324, so c is not a right triangle.
. Obviously, 337 does not equal 324, so c is not a right triangle.
The ordered pair (a, b) gives the location of point P on the coordinate plane. The value of aaa is 0, but b is not zero. Where could point P be located on the coordinate plane?
Answer:
On the y-axis line
Step-by-step explanation:
Given the location (a,b) of the point P on the coordinated plane.
If a=0
Then the location of P on the x-axis is at x=0
Since b is not equal to zero, b could be positive or negative.
Therefore, the point P could be located on the positive y-axis or the negative y-axis,
It must be exactly on the line.
