f(x) *g(x) = (x-3)(x+11) = x^2 +11x -3x -33 = x^2 +8x -33
Sorry if its wrong :(
A farmer notes that in a field full of horses and geese there are 30 heads and 84 feet. How many of each animal are there?
Answer:
There are 12 horses and 18 geese.
Step-by-step explanation:
We are given that in a field full of horses and geese, a farmer notes that there are 30 heads and 84 feet.
We can write a system of equations using the given information.
Let the amount of horses there are be represented by h and geese by g.
Assuming each horse and geese has only one head, we can write that:
[tex]\displaystyle h + g= 30[/tex]
And assuming that each horse has four feet and each geese has two feet, we can write that:
[tex]4h + 2g = 84[/tex]
This yields a system of equations:
[tex]\displaystyle \left\{\begin{array}{l} h + g = 30 \\ 4h + 2g = 84 \end{array}[/tex]
We can solve it using substitution. From the first equation, isolate either variable:
[tex]g = 30 - h[/tex]
From the second, we can first divide by two:
[tex]2h + g = 42[/tex]
And substitute:
[tex]2h + (30 - h) = 42[/tex]
Combine like terms:
[tex]h + 30 = 42[/tex]
Subtract:
[tex]h = 12[/tex]
Therefore, there are 12 horses.
And since the total number of animals is 30, there must be 30 - 12 or 18 geese.
In conclusion, there are 12 horses and 18 geese.
Use the order of operations to simplify the expression below. 990 ÷ (12-9)
Hi ;-)
[tex]990:(12-9)^2=990:3^2=\\\\=990:(3\cdot3)=990:9=\boxed{110}[/tex]
Triangle JKL is similar to triangle PQR. What is the measure of angle R?
Please answer as soon as possible.
Answer:
x = 43°
Step-by-step explanation:
59 + 78 + x = 180
137 + x = 180
(137 - 137) + x = 180 - 137
x = 43°
y = x² + 7x - 5 Can be written in the form y = ( x + a )² + b. Find the value of a and the value of b.
Answer:
[tex]a=\dfrac{7}{2} \\\\b=\dfrac{49}{4} \\[/tex]
Step-by-step explanation:
[tex]y=x^2+7x-5\\\\=x^2+2*\dfrac{7}{2}*x +\dfrac{49}{4} -\dfrac{49}{4} -\dfrac{20}{4} \\\\=(x+\dfrac{7}{2} )^2+\dfrac{69}{4} \\\\a=\dfrac{7}{2} \\\\b=\dfrac{49}{4} \\[/tex]
the score analysis of a school show the following.
180student register for Economics, 90 student Economics and political science,10 student Economics only, 150 student Economics and Geography, 120 student political science and Geography, 210 Geography, total number of students that register for the subjects= 250. find the number of students who register for.
1. political science
2. political science and Geography but not econs
3. Economics and political science but not Geography
Answer:
Economics and political science but not Geography
is right answer i think
Please help!! Will give brainlist is answer right
Answer:
AStep-by-step explanation:
plz plz help fast no trolls plz thx
22. which month did the business make the most profit
23. which month did the business make the least profit
Answer:
JulyMarchis your answer. I HOPE YOUR DAY GOES GREAT.
Simplify: (5x² – 3x + 7x) + (9x² + 2x² + 7x)
O 14x2 – x2 + 14x
O 14x2 + 13x
O 16x4 + x3
O 16x2 + 11x
O 16x2 – 11x
Answer:
16x^2+11x
Step-by-step explanation:
(5x² – 3x + 7x) + (9x² + 2x² + 7x)
Combine like terms
5x^2+9x^2+2x^2-3x+7x+7x
16x^2+11x
Question 3
1 pts
Use the number line below to find the midpoint of segment AB
midpoint of segment AB (answer1]
Answer:
The midpoint is -4
brainiest to whoever is right there
Answer:
If we divide 360 degree into four parts the all four parts hold 90 degree and the degree of angle DMB= 60.
60 degree.
Cindy had $100 in her savings account. The bank accidentally charged her a $30 service fee. How much money does that leave her with as a balance? *
Answer:
$70
Step-by-step explanation:
Find how much money she has left by subtracting 30 from 100:
100 - 30
= 70
So, she has $70 left in her balance.
find a formula for the arithmetic sequence consisting of the positive multiples of 4
9514 1404 393
Answer:
4n
Step-by-step explanation:
For positive multiple number 'n', the value is 4n.
a[n] = 4n . . . . . where a[n] is the n-th term of the sequence
Answer:
an = 4n
Step-by-step explanation:
got it right on test
Guided Practice
Find the balance in the account.
$500 principal earning 4% compounded quarterly, after 6 years.
A.
$632.66
B.
$530.76
C.
$634.87
Answer:
C.
$634.87
Step-by-step explanation:
A=500×(1+0.04÷4)^(4×6)
A=634.87
Jenny completed four-fifths of her summer reading assignment. Her classmate Antonio completed seven-eighths of his assignment, and classmate Jerry completed three-fourths of his assignment. Which student read the least? Which student read the most? Which student fell in the middle? (Show all work.)
Answer:
Jerry, Antonio, Jenny
Step-by-step explanation:
To solve this, we can represent the numbers as fractions, make them have one common denominator, and go from there
First, we can represent these as fractions:
Jenny:
four-fifths = 4/5
Antonio:
seven-eighths = 7/8
Jerry:
three-fourths = 3/4
Next, we can find the lowest common multiple. We can do this by listing the multiples of each number until something is in common for all 3
4:
4, 8, 12, 16, 20, 24, 28 ,32, 36, 40, 44, 48
8:
8, 16, 24, 32, 40, 48, 56, 64
5:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60
One number that is in common is 40.
Our next step is to find out what we need to multiply each number by to equal 40. We can do this via division.
4:
40/4 = 10
8:
40/8 = 5
5:
40/5 = 8
Next, we can multiply the numerator and denominator by the same number, essentially multiplying it by 1. For example, 4/5 * 5/5 = 20/25, which is still equal to 4/5 because 5/5 = 1 and multiplying any number by 1 keeps it the same.
3/4 * 10/10 = 30/40
7/8 * 5/5 = 35/40
4/5 * 8/8 = 32/40
We can see that 3/4 (Jerry) is the lowest, 7/8 (Antonio) is the highest, and 4/5 (Jenny) is in the middle
Find the fraction that is exactly halfway between 3/7 and6/7 pls help
Answer:
[tex]\frac{9}{14}[/tex]
Step-by-step explanation:
1. Add two fractions together.
[tex]\frac{3}{7}[/tex] + [tex]\frac{6}{7}[/tex] = [tex]\frac{9}{7}[/tex]
2. Divide by 2.
[tex]\frac{9}{7}[/tex] ÷ 2 = [tex]\frac{9}{14}[/tex]
The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh, where s is the atmospheric pressure, d is the density of the liquid, and g is the acceleration due to gravity.
(Pls Explain the Answer in simple terms)
Answer:
The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh
[tex]p(pressure) = s(atmospheric \: pressure) + d(density \: of \: the \: liquid)g(acceleration \: due \: to \: gravity)h[/tex]
Step-by-step explanation:
where s is the atmospheric pressure, d is the density of the liquid and g is the acceleration due to gravity.
solve for x of the given angle
Answer:
m<ABC = 92
Step-by-step explanation:
(3x + 23) and 4x are equal angle wise. So we have the equation:
(3x + 23) = 4x
3x = 4x - 23
-x = -23
x = 23
Multiply x by 4 which is 92
A number is multiplied by 16, and that product is added to 4. The sum is equal to the product of 4 and 9. Find the number.
Answer:
The number is 2
Step-by-step explanation:
x * 16 + 4 = 9*4
x * 16 + 4 = 36
x * 16 + 4 - 4 = 36 - 4
x * 16 = 32
x * 16 / 16 = 32 / 16
x = 2
Answer:
The number is 2
Step-by-step explanation:
let the number be "a"
16a+4=4×9
16a+4=36
16a=36-4
16a=32
a=2
if two adjacent sides of rectangle having perimeter 21 cm are in the ratio 3:4 what is the area of the rectangle is ...cm ?
Is 0.14 equivalent to a. 8/12, b. 5/8, c. 2/3, d. 7/50, e. 4/5, f. 5/3, g. 19/25, h. 1/3, i. 2/9, j. 1/33, k. 4/9
Answer:
7/50
Step-by-step explanation:
7 divided by 50 equals 0.14 in decimal format.
The formula d=rt is used to calculate the distance traveled by an object moving at a constant average speed during an elapsed time . How long would it take a pilot to fly 1240 miles at an average speed of 220 mph?
Answer:
Approx 5.64 hours
Step-by-step explanation:
d=rt
t=d/r
To find the time, divide distance by velocity
1240 / 220 = approx 5.64 hours
a fair six sided die is rolled find the probability of getting a 2
Answer:
1/6
Step-by-step explanation:
Help please! Describe how figure 20 will look like
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Answer:
Each colored block in Figure 20 will be a 20×20 square of smaller squares of the same color. The red-green pattern will be identical.
Step-by-step explanation:
Each colored block in Figure N is an N×N array of small blocks the same color. The pattern of red and green N×N blocks is the same from one figure to the next. We expect Figure 20 to fit this description.
The Willis Door company gave its employees
bonuses. Six employees received a bonus of $940
each; 4 employees received a bonus of $820 each;
5 employees were paid a bonus of $1150 each.
What was the average bonus paid to these
employees?
Answer:
The answer is $194
Step-by-step explanation:
What two rational expressions sum to 2x+3x2−2x−15?
Enter your answer by filling in the boxes. Enter your answer so that each rational expression is in simplified form.
The rational expressions that sum to [tex]\frac{2x+3}{(x+3)(x-5)} = \frac{2x}{(x+3)(x-5)} + \frac{3}{(x+3)(x-5)}[/tex]
The given expression is:
[tex]\frac{2x+3}{x^2-2x-15}[/tex]
Factorize the denominator
[tex]x^2-2x-15\\x^2-5x+3x-15\\x(x-5)+3(x-5)\\(x+3)(x-5)[/tex]
The given expression therefore becomes:
[tex]\frac{2x+3}{(x+3)(x-5)}[/tex]
This can be split into the sum:
[tex]\frac{2x+3}{(x+3)(x-5)} = \frac{2x}{(x+3)(x-5)} + \frac{3}{(x+3)(x-5)}[/tex]
Learn more here: https://brainly.com/question/17103002
Answer: 2x+3/x^2-2x-15 = 13/8(x-5) + 3/8(x+3)
Step-by-step explanation: I took the test and used the answer above and got the answer wrong, then the test gave me this answer:
The sum of the first n terms of an arithmetic sequence is n/2(4n + 20).
a) Write down the expression for the sum of the first (n − 1) terms.
b) Find the first term and common difference of the above sequence.
Answer:
(a).
[tex]S_{n} = \frac{n}{2} (4n + 20) \\ \\S _{n - 1} = \frac{(n - 1)}{2} (4n - 4 + 20) \\ \\ S _{n - 1} = \frac{(n - 1)}{2} (4n + 16) \\ \\S _{n - 1} = \frac{(n - 1)(4n + 16)}{2} \\ \\ { \boxed{S _{n - 1} = {2 {n}^{2} + 6n - 8}}} \\ [/tex]
(b).
from general equation:
[tex]S _{n - 1} = \frac{(n - 1)}{2} (4n + 16)[/tex]
first term is 4n
common difference:
[tex]16 = \{(n - 1) - 1 \}d \\ 16 = (n - 2)d \\ d = \frac{16}{n - 2} [/tex]
Which equation is represented by the graph?
Answer:
The choose D. y=|x|–1
Your choice is right
I hope I helped you^_^
I’ll give you 50 points if it’s answer correctly
Answer:
. The line passes through the quadrants I, II and III. ii. The line intersects the Y-axis at (0, 1).
0.111111.... a rational or irrational number