Answer:
(x+9)(x+4)
Step-by-step explanation:
use that x²-Sx+P =0 where sum S = root1+root 2, product P=Root1 *root2
x²+13x+36
so here S =-13 and P=36 so whhat 2 numbers add to -13 and multiply to 36?
-9 and -4
so it can be factor as (x-root1)(x-root2) =(x- -9)(x- -4)=
(x+9)(x+4)
2. In a certain school, there are 7 teachers for every 252 students. If there are 468 students, how many
teachers are needed?
Answer:
66.6
Step-by-step explanation:
If 7 teachers for 252 student
We divide 468÷7= 66.6
66.6 teacher
Here you are
which of the following is equivalent to 16 A. 4⁵/4³
B. 1 and 4²
C. 4-⁴.4²
D.4-²
(-6,0), y= 1/3x - 3 Write an equation of the line that passes through the given point and is parallel to the given line equation of the line in slope-intercept form: equation of the line in point-slope form:
Answer:
y=1/3x+2
Step-by-step explanation:
Answer:
Y=1/3x+2
Step-by-step explanation:
I got this answer write on my assignment.
George has $6.40 in nickels and dimes. If he has
32 more nickels than dimes, how many of each type
of coin does he have?
Answer:
George has 64 nickel and 32 dimes.
Step-by-step explanation:
Normally, we have:
One nickel = 5 cents
One dime = 10 cents
One dollar = 100 cents
Therefore, total number of cents that George has can be calculated as follows:
Total number of cents = $6.40 * 100 = 640 cents
Based on the above, we have:
640 cents = 640 / 5 = 128 nickel
640 cents = 640 / 10 = 64 dimes
Therefore, we have:
128 nickel = 64 dimes
Divide through by 2 in order to share 640 cents equally, we have:
128 nickel / 2 = 64 dimes / 2 => 64 nickel = 32 dimes
Since 64 minus 32 is equal to 32, it therefore implies that George has 64 nickel and 32 dimes.
Consider the function shown on the graph. Complete the statements to make them true.
Answer:
it's not proportional
I need help fast .....
Answer:
(0,6)
Step-by-step explanation:
So x=0, so plug in 0 for x. 5(0) + 6 - (0)^2 = 6
Alex wants to buy packs of gaming cards until she gets a certain card she wants, but she only has enough money to buy at most two packs. Suppose that each pack has a 20\%20%20, percent chance of containing the card she wants, and each pack costs \$10$10dollar sign, 10. The table below displays the probability distribution of XXX, the amount of money Alex spends on these cards. X=\text{money spent}X=money spentX, equals, start text, m, o, n, e, y, space, s, p, e, n, t, end text \$10$10dollar sign, 10 \$20$20dollar sign, 20 P(X)P(X)P, left parenthesis, X, right parenthesis 20\%20%20, percent 80\%80%80, percent Given that \mu_X=\$18μ X =$18mu, start subscript, X, end subscript, equals, dollar sign, 18, calculate \sigma_Xσ X sigma, start subscript, X, end subscript. Round your answer to two decimal places.
Answer:
4 dollars
Step-by-step explanation:
The standard deviation of the pack of gaming cards is 4
The entry on the table is given as:
x | $10 | $20
P(x) | 20% | 80%
Also, we have:
[tex]\mu_x = 18[/tex]
The standard deviation of a dataset is calculated using:
[tex]\sigma_x = \sqrt{E(x^2) - \mu_x^2}[/tex]
Where:
[tex]E(x^2) = \sum x^2 \times P(x)[/tex]
This gives
[tex]E(x^2) = 10^2 \times 20\% + 20^2 \times 80\%[/tex]
[tex]E(x^2) = 340[/tex]
[tex]\sigma_x = \sqrt{E(x^2) - \mu_x^2}[/tex] becomes
[tex]\sigma_x = \sqrt{340 - 18^2}[/tex]
[tex]\sigma_x = \sqrt{340 - 324}[/tex]
[tex]\sigma_x = \sqrt{16}[/tex]
Take positive square root
[tex]\sigma_x = 4[/tex]
Hence, the standard deviation of the dataset is 4
Read more about standard deviations at:
https://brainly.com/question/475676
can you Simplify x^3y^4y^5x
Answer: x
Step-by-step explanation:
Answer:
4x 9y
Step-by-step explanation:
3x 4y 5y x
combine your exponets
3x 4y 5y x
4x 4y 5y
combine again
4x 4y 5y
4x 9y
Help Pls I cant do it Its due today
PLEASE HELP ITS FOR A TEST!!
Cassie has a family photograph that measures 3-inches wide and 5-inches long. She wants to enlarge the photograph and hang it on the wall. If the length of the enlarged photograph is 37.5 inches, what is the width of the enlarged photograph?
Answer:
22.5
Step-by-step explanation:
multiply 5 x 7 and add half of 5.
multiply 3 x 7 and add half of 3.
width is 22.5
The width of the enlarged photograph is 22.5 inches.
What is scale factor?Scale factor is the ratio defining the relation between the scales of original new objects.
Given that, Cassie has a family photograph that measures 3-inches wide and 5-inches long. She wants to enlarge the photograph and hang it on the wall, and the length of the enlarged photograph is 37.5 inches,
We can conclude that the scale factor is 3/5.
Let the width of the enlarge photograph be x,
Therefore, 3/5 = x/37.5
x = (37.5/5)x3
x = 22.5
Hence, the width is 22.5 inches.
For more references on scale factors, click;
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2. Jan designs a new logo for Kim's website. Kim pays Jan $54 for 6 hours of work.
How much money does Kim pay Jan per hour?
Answer:
9
Step-by-step explanation:
54 divided by 6.
The difference between five and a number squared
Answer:
5 and a number squared
n could be represented as a number
difference is subtraction
5-n squared
The difference between 5 and a number squared is 5 - x².
What are squares and cubes ?When a number is multiplied by it self once we call it a square and when a number is multiplied by it self twice we call it cube of that number.
for example 5 is multiplied by it self once = 5x5 = 5²
5 is multiplied by it self twice = 5x(5x5) = 5x5² = 5³
Let the given number is x , So the difference between 5 and a number squared is = 5 - x²
Learn more about squares and cubes here :
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Evaluate the expression (3 * x + 11 ) for x = 2
SHOW ALL YOUR WORK.
Answer:
the answer is 17
Step-by-step explanation:
3*2=6
6+11=17
Arrange the four numbers shown greatest to least -1.25, -3/10, 1 2/5, -0.03
Answer:
−1.25, −310, -0.03, 125
Step-by-step explanation:
Answer:
−1.25, −310, -0.03, 125
Step-by-step explanation:
what's the slope of (-3,8) and (3,8)
Answer:
The slope is 0
Answer:
0
Step-by-step explanation:
In this, the x value is the only one changing, not the y ones. So, if the x values change, and the y values don't, you get a horizontal line. A horizontal line has a slope of zero.
Hope I helped!!!!
How can you tell by looking at a graph if there is a proportional relationship?
Answer:
as x increases y increases, as x decreases y decreases, the ratio always stays the same..represents a straight line through the origin.
Two angles are supplementary. If the measure of the first angle is 88° what is the measure of the second angle?
Answer:
92
Step-by-step explanation:
Answer: The second angle is 92°
Step-by-step explanation: Supplementary angles add up to 180 so subtract 88 from 180 and you get 92
What is one-half the square of a number?
Answer:
One-half squared is one-fourth. To square a fraction, you must square both the numerator and the denominator.
ayuda necesitó esto lo mas pronto posible :cc
Tienes ante ti un recipiente cuya masa es de 38,52 gr. cuando se encuentra vacío y en el momento en el que se llena de agua su
masa es de 137,26 gr. Cuando el recipiente es llenado con otro tipo de líquido la masa total es de 106,21 gr. ¿Cuál será la densidad
aproximada del líquido desconocido en gr/ml?
Answer:
La densidad del líquido desconocido es de aproximadamente 0,6855 g/ml.
Step-by-step explanation:
Los parámetros dados son;
La masa del recipiente vacío = 38,52 g
La masa total del recipiente cuando está lleno de agua = 137,26 g
La masa total del recipiente cuando se llena con el líquido desconocido = 106.21 g
Por lo tanto;
La masa del agua = La masa total del recipiente cuando está lleno de agua - La masa del recipiente vacío
La masa del agua = 137,26 g - 38,52 g = 98,74 g
La masa del líquido desconocido = 106,21 g - 38,52 g = 67,69 g
La gravedad específica del líquido desconocido = (La densidad de la sustancia desconocida) / (La densidad del agua)
De lo que tenemos;
La gravedad específica del líquido desconocido = (La masa del líquido desconocido) / (La masa de un volumen igual de agua)
∴ La gravedad específica del líquido desconocido = (67,69 g) / (98,74 g) ≈ 0,6855
De la ecuación, gravedad específica = (La densidad del líquido desconocido) / (La densidad del agua) y la densidad del agua = 1 g / ml, tenemos;
gravedad específica ≈ 0.6855 = (La densidad del líquido desconocido) / (1 g / ml)
La densidad del líquido desconocido ≈ 0.6855 × 1 g / ml ≈ 0.6855 g / ml
La densidad del líquido desconocido ≈ 0,6855 g / ml.
At the store 5 lbs of apples costs $6.70. What is the constant of proportionality that relates x, pounds of apples to y, cost in dollars?
Answer:
5x=6.70y
Step-by-step explanation:
8. Separate 84 into two parts such that one part will be 12 less than twice
the other.
Answer:
x + (2x-12) = 84
x = 32
Step-by-step explanation:
you can say (part 1) + (part 2) = 84
one part is x (a variable) and
other part is 12 less than twice the other: when it says "12 less" is " - 12" and twice of part one 2x, you can say (2x - 12)
(part 1) + (part 2) = 84
x + (2x-12) = 84
3x - 12 = 84
3x = 96
x = 32
(part 1) + (part 2) = 84
(32) + (2*32 - 12) = 84
(32) + (52) = 84
Task 5: A weather station on the top of a mountain reports that the temperature is currently 0°C and has been falling at a constant rate of 3°C per hour. If it continues to fall at this rate, find each indicated temperature. What will the temperature be in 2 hours? Explain or show your reasoning.
Answer:
Step-by-step explanation:
To find answer,
We multiply 2 hours by the decrease, which is 3 degrees.
2*3=6 degrees
Now this means it will decrease 6 degrees in 2 hours, and starting from the start we do
0-6= -6 degrees in 2 hours
For five hours, we do
5*3=15
Now do the same
0-15= -15 degrees
Which expression is equivalent to -14-(-2)?
14-2
O 14+2
0 -14+2
14-2
Answer:
-14 +2
Step-by-step explanation:
because you would do kcc aka keep change change
you would keep -14 change the minus to a addition sign and change the -2 to a positive 2
k+6=3
what is the solution of k?
Answer:
K=-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
Lets solve:
6+k=3
1. bring the opposite of 6 to the other side
k=3-6
2. simpliy
k=-3
38.9 divided by 2.91. What is it.
Answer:
13.3676975945 or 13.37
Step-by-step explanation:
you can also search it on google or a calculator lol
select the following inequality and graph its solution set: 8(1-4x) >40
Answer:
-1
Step-by-step explanation:
Hope this helps
Kayla gets on the elevator on the ground floor. She goes down 2 floors, up 5 floors, down 1 floor, up 3 floors, down 5 floors, and up 6 floors. What floor is she on?
Answer:
I belive its the 6th floor, although i did the mathb in my head. I apologize if it is incorrect ;-;
Step-by-step explanation:
Answer:
6th floor
Step-by-step explanation:
Starting on the ground floor, we will reference this point as the 0th floor. From there she goes:
down 2 floors (0 - 2) | -2 |
up 5 floors (-2 + 5) | 3 |
down 1 floor (3 - 1) | 2 |
up 3 floors (2 + 3) | 5 |
down 5 floors (5 - 5) | 0 |
and up 6 floors (0 + 6) | 6 |
Therefore... in the end she lands on the 6th floor
2) Sally bought a soft drink for 3 dollars and 7 candy bars. She spent
a lotal of 31 dollars. How much did each candy bar cost?
Answer:
Each candy bar cost 4 dollars.
Step-by-step explanation:
First,
31-3 = 28
Next,
28/7 = 4
Therefore, each candy bar cost 4 dollars.
a number between 61 and 107 that is a multiple of 3, 6, and 7
Answer:
42?
Step-by-step explanation:
Answer:
84
Step-by-step explanation:
Multiples of 3 in this range: 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99, 102, 105
Multiples of 6 in this range: 66, 72, 78, 84, 90, 96, 102
Multiples of 7 in this range: 63, 70, 77, 84, 91, 98, 105
If we look at these multiples, we see that 84 is the only number to show up in every list. Meaning, the answer is 84.
find (g•f)(3) f(x)=3x-2 g(x)=x^2
Answer:
f(x)=3x-2
g(x)=x^2
(g o f)(3)=?
(g o f)(3)=g(f(3))
x=3→f(3)=3(3)-2
f(3)=9-2
f(3)=7
(g o f)(3)=g(f(3))=g(7)
x=7→g(7)=7^2
g(7)=49
Answer: (g o f)(3)=49
OR,if you like this answer can also work
For this case, the first thing we must do is the composition of functions.
We have:
f (x) = 3x-2
g (x) = x ^ 2
(gOf) (x) = (3x-2) ^ 2
We now evaluate the function:
(gOf) (3) = (3 * (3) -2) ^ 2
(gOf) (3) = (9-2) ^ 2
(gOf) (3) = (7) ^ 2
(gOf) (3) = 49
Answer:
(gOf) (3) = 49
Both are same
Hope it is helpful to you