Answer:
5x^2(x^2 + 2x + 3)
Step-by-step explanation:
All the terms can be factored by 5 and x^2, so we get:
5x^2(x^2 + 2x + 3)
there are no more common terms so this is the answer
He Martins have a solar energy system. The system produces 9.1 Kilowatts of energy each hour. The system produces electricity for 5 hours each day. How much energey, in KWh, will the system produce in 100 day?
Answer:
4550 kilowatt
Step-by-step explanation:
Given that :
Amount of energy produced per hour by solar energy system = 9.1 kw per hour
Number of hours for which electricity is produced per day = 5 hours
How much energy will be produced in 100 days
Number of kilowatt of energy produced per day:
Energy produced per hour * number of hours
9.1 kw per hour * 5 hours = 45.5 Kilowatt per day
In 100 days :
Daily energy produced * number of days
45.5 kilowatt * 100 days
4550 kilowatt
due 7:59 am est. Faith is saving up to buy a new bicycle. She already has $40 and can save an additional $6 per week using money from her after school job. How much total money would Faith have after 8 weeks of saving? Also, write an expression that represents the amount of money Faith would have saved in w weeks.
Answer:
After 8 weeks, Faith would have $88. money saved = 40+6w
Answer:
$88 saved in 8 weeks
Step-by-step explanation:
Part 1:
You would first set up the equation 40 + (6 x 8) = t. T would be the total money saved. You would then do 6 times 8 first, as they're in parenthesis. You would get 48. You now have 40 + 48 = t. You would now add like terms, and you would get 88 = t. You would save $88 in 8 weeks.
Part 2:
40 + 6w = t
w would represent the number of weeks, t would represent the total number of money saved.
Rita goes for a bike ride on a trail by her house. After 15 minutes of riding she sees a mile marker. When she sees the third mile marker ,she realizes that she has been biking for 30 minutes. What is the rate at which she is riding?
Answer:
hence, she is riding [tex]\frac{2}{15}[/tex] miles per minute
Step-by-step explanation:
The computation of the rate at which she is riding is shown below:
Given that
Rita covered 1 mile in 15 minutes.
And, her covered 3 miles in 30 minutes.
Now
Let us assume the number of miles covered would be in x minutes
So for one miles the point would be (15,1)
And for three miles, the point is (30,3)
Now the slope of the line is
m equal to
[tex]\frac{y_2 - y_1}{x_2 - x_1} \\\\\frac{3 - 1}{30 - 15} \\\\\frac{2}{15}[/tex]
hence, she is riding [tex]\frac{2}{15}[/tex] miles per minute
22. Determine the value of c so that the line
segment with endpoints B(2, 2) and C(9,6)
BC
is parallel to the line segment with endpoints
D(c, -7) and E(5, -3).
help is appreciated !!!
Answer:(
(-4,-3)
Step-by-step explanation:
You get the negative and subtract from y1 and y2 and then ad x1 with the result of the subtraciton. : ) hope this helps!
Which of the lines below has an undefined slope? A B 6 с LO D 5 O A. Line A O B. Line B O C. Line C O D. Line D
Answer:
B. Line B
General Formulas and Concepts:
Algebra I
Undefined slopes are when x equals a certain number.
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
From the given choices, B is the correct answer.
A has a slope of 0, so m = 0 and would become a horizontal line.
C has a negative slope, so it is not undefined.
D has a positive slope, so it is not undefined.
B shows a vertical line, and so it has an undefined slope.
Jasmine found a wooden jewellery box shaped like a right rectangular prism. What is the volume of the jewellery box? MY TEACHER DIDNT TEACH US VOLUME. Ugh. ♀️
Answer:
Volume = Length × Width × Height
Step-by-step explanation:
A right rectangular prism is a three-dimensional object like the one shown in the attachment. It has dimensions: Length, Width and Height. All the angles between the sides are 90°. In order to calculate the volume of an object shaped like a right rectangular prism, we use the following expression.
Volume = Length × Width × Height
Find the rate of change of y with respect to the x of the line that passes through points (-28,8) and (-42,15)
Answer:
-1/2
Step-by-step explanation:
8-15 = -7
-28 - -42 = 14
-7/14 = -1/2
Given the function f ( x ) = − 1 x + 3 x 4 , f(x)=− x 1 + 4 3 x , find f ′ ( 4 ) . f ′ (4). Express your answer as a single fraction in simplest form.
Step-by-step explanation:
The question is not well written. Let us say the function given as expressed as;
f(x) = -1/x + 3/x⁴
f'(x) means we are to differentiate the function with respect to x;
Given f(x) = axⁿ
f'(x) = naxⁿ⁻¹
f(x) = -x⁻¹ + 3x⁻⁴
Applying the differentiation formula we will have;
f'(x) = -1(-x⁻²)+(-4)3x⁻⁴⁻¹
f'(x) = x⁻²-12x⁻⁵
Express as a fraction
f'(x) = 1/x²-12/x⁵
To get f'(4), we will have to substitute x = 4 into the resulting expression
f'(4) = 1/4²-12/4(5)
f'(4) = 1/16-12/20
f'(4) = 1/16-3/5
Find the LCM
f'(4) = (5-48)/80
f'(4) = -43/80
Note that the function used was assumed but the same method can be employed to any other functions.
A trapezoid. Sides R U and S T are parallel.
Examine the trapezoid. Which sides are parallel?
sides RU and ST
sides RS and ST
sides ST and UT
sides RS and UT
Answer:
Sides RU and ST
Step-by-step explanation:
Just did the quiz
Please help! what is an equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32)?
Answer:
f(x) = - 4x² - 20x + 56Step-by-step explanation:
f(x) = a(x - x₁)(x - x₂) - factored form of the equation of the parabola with zeros x₁ and x₂
x-intercepts at (2,0) and (-7,0) means zeros: x₁=2 and x₂=-7
So:
f(x) = a(x - 2)(x + 7) - factored form of the equation of the parabola with x-intercepts at (2,0) and (-7,0)
The parabola passing through point (1, 32) means if x=1 then f(x)=32
Then:
32 = a(1 - 2)(1 + 7)
32 = a(-1)(8)
32 = - 8a
a = - 4
Therefore the equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32):
f(x) = -4(x - 2)(x + 7)
Expanding to standard form:
f(x) = -4(x - 2)(x + 7)
f(x) = -4(x² + 7x - 2x - 14)
f(x) = -4x² - 20x + 56
The equation of the parabola with x-intercepts at (2,0) and (-7,0) and passes through the point (1,32) is
f(x) = -4 ( x - 2 ) ( x + 7 )
Its standard form is
f(x) = -4x² - 20x + 56.
What is a parabola?It is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
We have,
To find the equation of a parabola we use the factored form of a quadratic equation.
f(x) = a ( x - m ) ( x - n)
Where a is the leading coefficient and m and n are the zeros of the quadratic.
The equation has x-intercepts at (2, 0) and (-7, 0) so we can say that,
m = 2
n = -7
Now the equation passes through (1, 32) = (1, 32) so we have,
32 = a ( 1 - 2 ) ( 1 - (-7) )
32 = a ( -1 ) ( 1 + 7 )
32 = a ( -1 )8
32 = -8a
a = -32 / 8
a = -4
We have,
m = 2
n = -7
a = -4
The equation of the parabola is:
f(x) = a ( x - m ) ( x - n)
f(x) = -4 ( x - 2 ) ( x + 7 )
We can expand to its standard form as:
f(x) = ( -4x + 8 ) ( x + 7 )
f(x) = -4x² - 28x + 8x + 56
f(x) = -4x² - 20x + 56
Thus the equation of the parabola with x-intercepts at (2,0) and (-7,0) and passes through the point (1,32) is f(x) = -4 ( x - 2 ) ( x + 7 ) and its standard form is f(x) = -4x² - 20x + 56.
Learn more about parabola here:
https://brainly.com/question/4074088
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4x-2y = 2
3x-2y=-19
Help
Answer:
{x,y}={21,41}
Step-by-step explanation:
Step by Step Solution:
More Icon
System of Linear Equations entered :
[1] 4x - 2y = 2
[2] 3x - 2y = -19
Graphic Representation of the Equations :
-2y + 4x = 2 -2y + 3x = -19
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 3x = 2y - 19
[2] x = 2y/3 - 19/3
// Plug this in for variable x in equation [1]
[1] 4•(2y/3-19/3) - 2y = 2
[1] 2y/3 = 82/3
[1] 2y = 82
// Solve equation [1] for the variable y
[1] 2y = 82
[1] y = 41
// By now we know this much :
x = 2y/3-19/3
y = 41
// Use the y value to solve for x
x = (2/3)(41)-19/3 = 21
Solution :
{x,y} = {21,41}
Answer: {x,y}={21,41}
Student Council is sponsoring the next school dance. They plan to order 2 cheese pizzas for every 3 pepperoni pizzas they order. How many total pizzas will they order if they plan to order 36 pepperoni pizzas for the dance?
Answer: 60 pizzas
Step-by-step explanation:
From the question, we are informed that the student council plan to order 2 cheese pizzas for every 3 pepperoni pizzas they order.
Since 36 pepperoni pizzas are ordered for the dance, the number of cheese pizzas ordered will be:
= 36 × 2/3
= 24 cheese pizzas
The total pizza ordered will now be:
= Cheese pizzas + Pepperoni pizzas
= 24 + 36
= 60 pizzas
Answer:
60
Step-by-step explanation:
60 trust me
what is 9-3 divided by 1/3 +1? pls help me and i will give you a brainlist
Answer:
19
Step-by-step explanation:
1. Subtract and divide. 9 - 3 is 6, and 6 divided by 1/3 is 18, because whenever you divide by a fraction, you multiply by the reciprocal.
2. Add. 18 + 1 is 19.
Anthony has 115 books in his room. he is storing them in boxes. Each box holds 17 books How many boxes does Anthony need?
Answer:
7 boxes
Step-by-step explanation:
PLEASE HELP!! BRAINLIEST AND 10 POINTS !!
Answer:
Give brainliest first then I’ll give the answer
Step-by-step explanation:
The link between the bases on a basketball field is 93 a scale drawing shows the distance between the Bases as 1 1/2 to 1 inch on the drawing equals how many feet
Answer:
Distance on drawing is 11.7 feet.
Step-by-step explanation:
A scale is a factor that can be used to either increase or decrease the size of an object.
Scale = [tex]\frac{distance on drawing}{original distance}[/tex]
Given that:
scale = [tex]\frac{3}{2}[/tex] to 1 inch, and the original distance = 93 inches
So,
[tex]\frac{3}{2}[/tex] : 1 = [tex]\frac{distance on drawing}{93}[/tex]
[tex]\frac{3}{2}[/tex] ÷ 1 = [tex]\frac{distance on drawing}{93}[/tex]
[tex]\frac{3}{2}[/tex] x [tex]\frac{1}{1}[/tex] = [tex]\frac{distance on drawing}{93}[/tex]
distance on drawing = [tex]\frac{3*93}{2}[/tex]
= [tex]\frac{279}{2}[/tex]
= 139.5
distance on drawing = 139.5 inches
Since 12 inches = 1 foot, then;
Distance on drawing in feet = [tex]\frac{139.5}{12}[/tex]
= 11.625 feet
Distance on drawing is 11.7 feet.
Anna is testing different weights of certain things. The bucket she is holding that is full of water weighs 5lbs. Anna weighs herself and she is 97 pounds. She then drinks all of the water out of the bucket and then weighs herself again. Now she weighs 104 pounds. If the bucket of water she held was only 5 pounds, how did Anna gain 7 pounds from drinking the water out of it?
__________________________________________________
Answer:
Anna drank the water and holding the bucket, which weights 2 pounds, so:
97 + 5 + 2 = 104 poundsAnswer:
104 lbs.Step-by-step explanation:
Anna's self weight = 97
Anna drank the water = 5
bucket weights = 2
total = 104 lbs.
Find the GCF using any method:
36, 84, and 90
Answer:
6
Step-by-step explanation:
Big brain
I need the answer ASAP please
Answer:
Remainder → (76)
Step-by-step explanation:
Given function;
f(x) = x² - 5
f(x) = x² + 0.x - 5
We have to divide this function by expression (x + 9).
x + 9) x² + 0.x - 5 (x - 9
x² + 9x
- 9x - 5
- 9x - 81
76
Therefore, by dividing the function 'f' by (x + 9) remainder is (76).
(Wap) Urgent I need help with this question
Answer:
12.1
Step-by-step explanation:
In this question, we can use the pythagoras theorem to solve it.
the equation is [tex]\sqrt{11^{2}+5^{2} }[/tex] = slant height.
= 12.1
All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours. How many hours would it take to fill the order if the number of working machines increased by factor of 4?
Answer:
5.5
hope this helped!!!!!
Henry took a total of 9 quizzes over the course of 3 weeks. How many weeks of school will Henry have to attend this quarter before he will have taken a total of 15 quizzes? Assume the
relationship is directly proportional
Answer:
5 weeks if it stays the rate of 3 quizzes a week
brainliest if correct please
Step-by-step explanation:
What is k? (look at the attached photo for the problem, thank you!!)
using the same application you used in part f, reflect the line segment across the x-axis. then, rotate it 90° clockwise. Finally. translate it down 2 units. what is the relationship between the original line segment and the transformed segment ? if you transform a line segment with a seweurnce of reflections, to stations, or translations, is it still a line segment ?
Answer:
non
Step-by-step explanation:
Given g(x) = x4 + 2x3 - 7x2 - 8x + 12. When g(x) is divided by x - 1, which conclusion about g(x) is true?
1.9(1) = 0
2.9(-1) = 0
3.x + 1 is a factor of g(x).
4. No conclusion can be made regarding g(x).
Answer:
g(1) = 0
There is a remainder of 10 so you can automatically cross out 3 and 4.
When [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] is divided by x - 1, the only true conclusion is g(1) = 0
The given equation is:
[tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]
x- 1 is a factor of [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] only if g(1) = 0
Let us find g(1) by substituting x = 1 into [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]
[tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]
[tex]g(1) = 1^4+2(1^3)-7(1^2)-8(1)+12\\\\g(1) = 1 + 2 - 7 - 8 + 12\\\\g(1) = -12 + 12\\\\g(1) = 0[/tex]
Therefore, when [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] is divided by x - 1, the only true conclusion is g(1) = 0
Learn more here: https://brainly.com/question/24437791
What is the solution set of the following equation?
-8x + x + 15 = -7x + 12
Answer:
-3 is the solution set of the following equation
write an explicit rule for the sequence
1 There are 4 trucks for every 5 cars in a parking lot. How many trucks and
cars could be in the parking lot?
A 64 trucks and 80 cars
B
72 trucks and 73 cars
C.
84 trucks and 100 cars
D.
96 trucks and 110 cars
Answer:
A. 64 trucks and 80 cars
Step-by-step explanation:
The ratio is 4:5 or 4/5, which equals 0.8. Divide the number of trucks by the number of cars to see which other answer equals 0.8. The only one that does is A.
Find the measure of the indicated angle to the nearest degree
que es un experimento determinista
Answer:
Un experimento determinista es aquel cuyo resultado se puede predecir con certeza de antemano, como combinar hidrógeno y oxígeno o sumar dos números como 2 3. Un experimento aleatorio es aquel cuyo resultado se determina por azar.
Step-by-step explanation:
what is a deterministic experiment
A deterministic experiment is one whose outcome may be predicted with certainty beforehand, such as combining Hydrogen and Oxygen, or adding two numbers such as 2 3. A random experiment is one whose outcome is determined by chance.