Answer:
4x^(3)+2x^(2)+6x+3
Step-by-step explanation:
A polynomial is a combination of terms separated by + or − signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms. Polynomial
Charlotte volunteered to deliver dinners for seniors. The supervisor told her to take half the meals to Oak Hill Senior Center, one-fourth of them to the Glenview Apartment complex, and one-fifth of them to North-side neighborhood center. Unfortunately, there were 19 meals, which didn’t divide evenly as mandated. How could Charlotte follow the supervisor’s instructions without splitting apart any meals?
Answer:
Charlotte should take 5 meals to Glenview Apartment complex, 4 meals to North-side neighborhood center and 10 meals to Oak Hill Senior Center
Step-by-step explanation:
The given number of meals = 19 meals
The fraction of the meals to be taken to Oak Hill = (1/2)
The fraction of the meals to be taken to Glenview Apartment = (1/4)
The fraction of the meals to be taken to North-side neighborhood = (1/5)
Let A represent an even number of meals, we have;
The total meals she delivers = (1/2)·A + (1/4)·A + (1/5)·A = (19/20)·A
The remaining meals = A - (19/20)·A = (1/20)·A
Therefore, if the meals where 20, she would have an excess of 1 meal left
Therefore, the number of meals she can share using the given fractions = 19 meals
Therefore;
The number of whole meals she can take to Glenview = 20×(1/4) meals = 5 meals
The number of whole meals she can take to North-side neighborhood = 20 × (1/5) meals = 4 meals
Therefore, the number of meals she would take to Oak Hill Senior Center = (20 - 5 - 4) meals = 10 meals
The fitness center held a weight loss competition in which 128 people participated. The amount of weight loss was normally distributed with a mean of 18 pounds and a standard deviation of 5.4 pounds. Approximately how many people lost at least 15 pounds?
Answer:
37
Step-by-step explanation:
Given :
Sample size, n = 128
Mean, μ = 18
Standard deviation, σ = 5.4
Number of people who lost atleast 15 pounds :
The Zscore = (x - μ) / (σ)
Zscore = (15 - 18) / 5.4
Zscore = - 3 / 5.4
Zscore = - 0.5555
P(Z < - 0.555) = 0.28945
Number of people who lost atleast 15 pounds :
0.28945 * 128 = 37.0496
= 37 people
find the sum or difference of the polynomials. Write your answer in descending
order.(-3x2 + 2x + 1) + (-8x2 + 3x + 2)
i think by x2 you meant x²
(-3x² + 2x + 1) + (-8x² + 3x + 2)
-11x² + 5x + 3
Can someone help me with this math homework please!
Answer:
- 2 / 7
Step-by-step explanation:
Let,
x1 = 7
x2 = 14
y1 = 2
y2 = 0
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope
= ( 0 - 2 ) / ( 14 - 7 )
= - 2 / 7
[tex]slope \\ = \frac{Δy}{Δx} \\ = \frac{(4 - 2)}{(0 - 7)} \\ = \frac{2}{ - 7} \\ \\ so \: the \: slope \: is \: \frac{2}{ - 7}.[/tex]
This is the answer.
Hope it helps!!
y-3=2(x-3) y+5=2(x+1)
choose 1 answer
the same line
distinct parallel lines
Perpendicular lines
intersecting, but not perpendicular lines
Answer:
The same lines (answer)
Step-by-step explanation:
The equations can be written in slope-intercept form y = mx + c (where 'm' is slope and 'c' is the y-intecept) as,
y-3 = 2(x-3) .......(1) ; y + 5 = 2(x+1) ...........(2)
y = 2x - 6 + 3 ; y = 2x + 2 - 5
y = 2x -3 ; y = 2x - 3
Comparing with slope intercept form we have,
m1 = 2 ; m2 = 2
c1 = -3 ; c2 = -3
If the slopes are equal the lines are parallel and since y-intercepts are also equal means they are the same lines (overlapping)
The ratio of parents, students and teachers is
21:3:6.
What proportion of the total is parents?
GIVE ANSWER IN PERCENTAGE.
Answer:
Answer
Step-by-step explanation:
21+3+6
= 30
Ratio of parents = 21
10% of 30 = 30/10
= 3
21 is __% of 30
= 21/30 * 100
= 0.7 * 100
= 70%
asap answer dont get it wrong
Answer:
B
Step-by-step explanation:
The parabola minimum is 3
The top quadratic minimum is 2 so
g(x) minimum is greater
7x+8/2 = 9x+1
Give your answer as a fraction in its simplest form
Answer:
3/2
Step-by-step explanation:
the LCM is 2Thanks Hope It HelpI need answer LOL :(
Megan wants to put 1/3 of a kilogram of bird seed in each of the bird cages in her pet shop.
She has 2/3 of a kilogram of bird seed left. How many cages can she refill with bird seed?
Answer:
She can refill 2 cages.
Step-by-step explanation:
Since Megan puts 1/3 of a kilogram of bird seed in each bird cage, she can fill 2 cages.
Answer: she can fill 2 times the amount of cages she has.
say: x=the cages
so 2x/ 2 times of the cages
hope this helps! i tried :)
Find the area of the parallelogram. 7 in. 12 in. [ ] Area = [?] in.
Answer:
Area= Base x height
Area= 7 x 12 inch
Area= [tex]84inch^{2}[/tex]
Brainliest please
What is the answer for y=?
Answer:
hwukebhejsnsknbjbbjkkkkkkkk
i need helpp plzzz!!!!!!!!!!!!!!!!
Negative 2 (x + 5) = negative 2 (x minus 2) + 5 What is the solution to Yuto's equation? –10 9 no solution infinitely many solutions
Line AB contains points A(4, 5) and B(9, 7). What is the slope of ?
Answer:
2/5
Step-by-step explanation:
We can find the slope by using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 7 -5)/(9 - 4)
= 2/5
Manuel y Sara recorren cierta distancia, y los tiempos que emplean están en la razón 21 / 15 . La velocidad de Manuel es de 56km/h. ¿Cuál es la velocidad de Sara?
Answer:
The speed of Sara is 78.4 km/h.
Step- by-step explanation:
Manuel and Sara travel a certain distance, and the times they use are in the ratio 21/15. Manuel's speed is 56km / h. What is Sara's speed?
Let the distance is d.
speed of Manuel = 56 km/h
time taken by Manuel = 21 t
time taken by Sara = 15 t
Let the speed of Sara is v.
Distance = speed x time
For Manuel:
d = 56 x 21 t ..... (1)
For Sara:
d = v x 15 t ..... (2)
From (1) and (2)
56 x 21 t = v x 15 t
v = 78.4 km/h
What is the solution to the linear equation?
d – 10 – 2d + 7 = 8 + d – 10 – 3d
(need answer asap)
Answer:
-10 -2d+7=8-10-3d
-2d + 7 =8 -3d
-2d + 7 =3d = 8
-2d + 3d = 8-7
d=8-7
d=1
Answer:
[tex]d = 1[/tex]
Step-by-step explanation:
Step 1: Combine like terms
[tex]d - 10 - 2d + 7 = 8 + d - 10 - 3d[/tex]
[tex](d - 2d) + (-10 + 7) = (8 - 10) + (d - 3d)[/tex]
[tex](-d) + (-3) = (-2) + (-2d)[/tex]
Step 2: Add 2d to both sides
[tex]-d + 2d - 3 = -2 - 2d + 2d[/tex]
[tex]d - 3 = -2[/tex]
Step 3: Add 3 to both sides
[tex]d - 3 + 3 = -2 + 3[/tex]
[tex]d = 1[/tex]
Answer: [tex]d = 1[/tex]
Areas of rectangles with the same perimeter
Answer:
2(l+b ) is the answer
Step-by-step explanation:
ok mark me as markliest
Use the order of operations to simplify this expression. Express your answer in simplest form.
1/2+2/3÷ 5/9
Answer:
1/4/3÷5/9
1/4/3÷9/5
1/4/3/5
What is the value of n
Answer:
60
Step-by-step explanation:
Please help me!!!!! You have to match the slope of each line
Answer:
it would be line to zero slope that's all I can do for u pal maybe..
Which expression represents the number of apples Johnny has?
Johnny picks 14 apples and gives some to his friends.
Answer:
Step-by-step explanation:
Let the number of apples given to his friends = x
To represent the number of apples Johnny has, subtract the apples given to his friends from 14
Number of apples with Johnny = 14 - x
what are the points for the equation y +2 = - 3/4 (x+4)
Answer:A(1,-5)
B(6,-8)
Step-by-step explanation:
Please help me multiply this
Answer:
(x-4y)(x-3y) ÷(x+8y)(x-8y)×(x+8y)÷3(x-3y)
=3(x-4y)÷(x-8y)
What is the simplified form of the following expression?
5 58-18-2-82
02.12
o 5.82
o 9.2
O 152
Answer:
[tex]5 \sqrt{2} [/tex]
Peter rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total more than 11.
Answer:
1/36 = .0277 = 2.7%
Step-by-step explanation:
6*6 = 36
only one combination > 11 that is 12 [ 6 +6 ]
Gerald and ben shareda sum of money. Gerald took $51 more than 2/7 of the money. Ben took $30 less than gerald. What was the sum of money
Answer:
$168
Step-by-step explanation:
let x = total sum of money shared
Amount Gerald took = 51 + [tex]\frac{2}{7} x[/tex]
Amount Ben took = (51 + [tex]\frac{2}{7} x[/tex]) - 30
= 21 + [tex]\frac{2}{7} x[/tex]
(51 + [tex]\frac{2}{7} x[/tex]) +( [tex]21 + \frac{2}{7}x[/tex]) = x
combine like terms
51 + 21 = x - ([tex]\frac{2}{7} x + \frac{2}{7} x[/tex])
72 = x - 4/7x
72 = 3/7x
divide both sides of the equation by 7/3
x = $168
Find the value of x. Round to the nearest hundredth. 7 11 x
the sum of two positive consecutive integers is x. in terms of x, what is the value of the smaller of these two integers?
Answer:
In terms of x, the smaller integer is (x - 1)/2
Step-by-step explanation:
Two consecutive positive integers can be written as:
n and (n + 1)
Where n is an integer and:
n > 0.
notice that the smaller of the two integers is n.
We know that the sum of these two integers is equal to x, then:
n + (n + 1) = x
we can rewrite this as:
2n + 1 = x
solving this for n (the smaller of the two integers) we get:
2n = x - 1
n = (x - 1)/2
In terms of x, the smaller integer is (x - 1)/2
A jar is filled with 74 different colored marbles, 10 of which are red, 38 of which are blue, and 26 of which are green. A player is asked to draw a single marble from the jar and if they draw a red marble they will win $20, if they draw a blue marble they will lose $10, and if they draw a green marble they will lose $5. You may round your answer to the nearest cent
Solution :
Colored marble Prize
Red ---- 10 20
Blue --- 38 10
Green --- 26 5
P(red) = 10/74 = 5/37
P(blue) = 38/74 = 19/37
P( green) = 26/74 = 13/37
Therefore,
X → Red Blue Green
P(X) 5/37 19/37 13/37
The expected values are :
[tex]$20 \times \frac{5}{37} - 10 \times \frac{19}{37} - 5 \times \frac{13}{37}[/tex]
= -4.189
Thus it is not profitable to play the game.