Answer:
The values of x for which the model makes sense is [tex]x\ge 6\,ft[/tex].
Step-by-step explanation:
From statement we have the following expression for the volume of the rectangular room is:
[tex]V(x) = 2\cdot x^{3}-14\cdot x^{2}+12\cdot x[/tex] (1)
Where:
[tex]V[/tex] - Volume of the rectangular room, measured in cubic feet.
[tex]x[/tex] - Length of the room, measured in feet.
By Algebraic means we factorize the polynomial:
[tex]V(x) = x\cdot (2\cdot x^{2}-14\cdot x +12)[/tex]
[tex]V(x) = x\cdot (x-6)\cdot (x-1)[/tex]
Given that both volume and length must be positive variables, then the following conditions must be satisfied:
[tex]x \ge 0\,ft\,\land\,x\ge 6\,ft\,\land\,x\ge 1\,ft[/tex]
Then, the values of x for which the model makes sense is [tex]x\ge 6\,ft[/tex].
What is the slope?
WILL MARK BRAINLIEST!! !!
(picture included ^^^)
-5
Slope: rise/run
rise/run: y/x
it goes down 5 and moves to the right once that means it's -5/1 or -5.
Answer:
The answer is -5/1 or -5
Step-by-step explanation:
what is the 110th term of -1,-3,-5,-7
Answer:
-219
Step-by-step explanation:
I counted it lol :o
a^2 + 2a^2 = b^2
solve for b
Answer:
b=a √3
Step-by-step explanation:
Is the fraction for 7/54 a rational number or irrational number?
What is x?
What is y?
Answer:
x=35, y=18
Step-by-step explanation:
the triangles are similar so they are in proportion
x/14=45/y= 40/16
[tex]\frac{x}{14} =\frac{40}{16}[/tex] find x
[tex]x= \frac{14*40}{16} = 35[/tex]
[tex]\frac{45}{y} =\frac{40}{16}[/tex] find y
[tex]y= \frac{45*16}{40} =18[/tex]
Describe how
you might model each on a number line.
1. You owe your friend $10.
a.
You borrow an additional $5.
What's the Difference?
Answer:
If you owe your friend 10 dollars that would be -10 on a number line and then you borrow 5 dollars which means you owe that money too and you would continue to move left on the number line 5 spaces.
Step-by-step explanation:
If G is the incenter of ABC, find the each measure
m
m
Answer: m angle ABC = 44
m angle CAG = 54
Step-by-step explanation:
help with this plzzzz, actual answers only plzzz
Answer: x = 16 and the measure of angle is 59°.
Step-by-step explanation:
Complementary angles add up to 90 degrees. Meaning that, if you add the two angles together and add them to equal 90 you can solve for x.
(x + 15) + (3x + 11) = 90 First combine like terms.
4x + 26 = 90 Subtract 26 from both sides.
-26 -26
4x = 64
x = 16
If x is equal to 16, then we can find the measure of angle N by inputting the value of x into the expression for the measure of angle N.
m∠N = 3(16) + 11
m∠N = 48 + 11
m∠N = 59
When Jon rides his bike for 40 minutes, he burns 200 calories. How many calories does he burn if he rides his bike for 2 hours?
Answer:
600 calories
Step-by-step explanation:
120 (# of minutes in 2 hours) divided by 40 is 3, so multiply 200 by 3 and you get 600
Answer:
600 calories burnt
Step-by-step explanation:
What I started with is 200/40=5 calories burned per min
60 plus 60=120
5x120=600
Hope this helps
Which of these graphs do not represent constant rates of change? Check all that apply. On a coordinate plane, a parabola opens up. On a coordinate plane, a line has a negative slope. On a coordinate plane, a line has a positive slope. On a coordinate plane, a line is constant and then curves rapidly up.
Answer:
A and D
Step-by-step explanation:
Got it right on Edge hope this helped!
Answer:
A&B
Step-by-step explanation:
its right on edg
Kara is sending a gift to her grandmother. The gift is wrapped in a cube-shaped box with side lengths of 6 inches. She wants to use the shipping box that is closest to the size of her gift. The table shows the cube-shaped shipping boxes that the post office has available for her to use.
Which shipping box should Kara use?
A. Box A
B.Box B
C.Box C
D.Box D
Answer:
C. Box c
Step-by-step explanation:
Took this assignment the other day
Hope this helped
Answer:
C
Step-by-step explanation:
box c
Please help!!!! The length of a rectangular garden is 3 yards more than its width. The perimeter of the garden is 36 yards. What are the width and length of the garden?
please help its so late at night
A recipe for beef fajitas uses 5 pounds of beef to make 20 meals. How many pounds of beef are needed to make 80 meals?
Answer:
20 pounds
Step-by-step explanation:
80/20 =4
5x4=20
Round 7412 to the nearest thousand.
Answer:
7000 :)
Step-by-step explanation:
The nearest thousand to 7412 is 7000.
Answer: 7000
Step-by-step explanation: When you round 7412 to the nearest thousand you should get 7000.
Solve the system by substitution, solve by elimination. Please do both & explain. Don’t answer if you don’t know. Will mark brainliest. Thank you :)
(1)
[1] x + 5y - 4z = -10
[2] 2x - y + 5z = -9
[3] 2x - 10y - 5z = 0
Eliminate x by adding -2[1] to [2], and adding -1[2] to [3]:
-2(x + 5y - 4z) + (2x - y + 5z) = -2(-10) + (-9)
-2x - 10y + 8z + 2x - y + 5z = 20 - 9
[4] -11y + 13z = 11
-(2x - y + 5z) + (2x - 10y - 5z) = -(-9) + 0
-2x + y - 5z + 2x - 10y - 5z = 9
[5] -9y - 10z = 9
Eliminate y by adding -9[4] to 11[5]:
-9(-11y + 13z) + 11(-9y - 10z) = -9(11) + 11(9)
99y - 117z - 99y - 110z = -99 + 99
-227z = 0
z = 0
Plug this solution into either [4] or [5] and solve for y :
[5] -9y - 10(0) = 9
-9y = 9
y = -1
Plug them both into either of [1], [2], or [3] and solve for x :
[1] x + 5(-1) - 4(0) = -10
x - 5 = -10
x = -5
(2)
[1] 2x - y + z = -4
[2] z = 5
[3] -2x + 3y - z = -10
Substitute [2] into [1] and [3]:
2x - y + 5 = -4
[4] 2x - y = -9
-2x + 3y - 5 = -10
[5] -2x + 3y = -5
Solve [4] for y :
2x - y = -9
2x + 9 = y
Substitute this into [5] and solve for x :
-2x + 3(2x + 9) = -5
-2x + 6x + 27 = -5
4x = -32
x = -8
Plug this into either [4] or [5] to solve for y :
[4] 2(-8) - y = -9
-16 - y = -9
y = -5
Use synthetic division to find (x^2+3x–4)÷(x+4)
Answer:
X^2-x- 8/x+4
Step-by-step explanation:
X+4 becomes a negative 4
Then multiply -4 by the first number which is 1 so -4×1 is -4. Then subtract -4 by the second number 3. This gives you -1 so multiply that by 4 which is -4. Then subtract 4 from the third number -4. So that'll give you -8. Then add an x-value to every number except the very last number as that number will be you remainder.
Convert to to decimal : 83/10
Answer:
8.3
Step-by-step explanation:
just move the decimal in 83 over one digit since your already just dividing by 10
0 is a rational number (True or false).
Answer:
True
Step-by-step explanation:
you can't really explain it but I know it is a rational answer
His parcel is a cuboid with dimensions 10 cm, 20cm and 40 cm. 20 cm 10 cm 40 cm to scale He looks at the prices of two companies, WeDeliver and GoParcels. Not drawn WeDeliver Total cost: Sum, in cm, of the 3 dimensions * £0.80 Find the cost of sending the parcel with each company. Give each of your answers
Answer:
For WeDeliver= $224
For GoParcels = $56
Step-by-step explanation:
Since we are told his parcel is a cuboid with dimensions 10cm, 20cm, and 40 cm, it means the parcel consists of 4 edges of 10 cm, 4 edges of 20 cm, and 4 edges of 40 cm.
For WeDeliver, the Total Cost is:
Sum, in cm, of the dimensions x 0.80, which is, (10cm *4) + (20cm *4) + (40cm *4) = 280cm x 0.80 = $224. While
For GoParcels, the Total Cost is:
Total area, in [tex]cm^{2}[/tex], of all 6 faces, x .02
Remember that a cuboid has six (6) faces or sides, so the total area would be gotten by taking note of the length of each visible side of the parcel and then multiplying to get the other side after which we sum after doing so we get:
[tex]800^{cm2}[/tex] for front side[tex]800^{cm2}[/tex] for the backside[tex]400^{cm2}[/tex] for the top[tex]400^{cm2}[/tex] for the bottom[tex]200^{cm2}[/tex] for the left side[tex]200^{cm2}[/tex] for the right side.Total area = [tex]2,800^{cm2}[/tex] * 0.02 = $56
Answer:
Step-by-step explanation:
224 56
Marcus painted one-third of his bedroom in fourth-fifths of an hour. At this rate, how long would it take him to paint the entire room?
Answer:
2 2/5 hours
Step-by-step explanation:
If Marcus takes 4/5 an hour to paint 1/3 of the room, then you have to multiply 4/5 times 3 for every 1/3 of the room.
Sorry if this is hard to understand, this is my first time answering.
Answer:
5/12
Step-by-step explanation:
I think
There are 47 tables of 4 and 16 tables of 5 how many customers are in the restaurant
Answer:
268
Step-by-step explanation:
We need to multiply and add:
47 tables of 4 means there are a total of 47 * 4 = 188 people at these tables.
16 tables of 5 means there are a total of 16 * 5 = 80 people at these tables.
Add them up to get: 188 + 80 = 268 customers total.
Please help me!!
REALLY HELP ME
Answer:
10%
Step-by-step explanation:
this is because the decrease in price is $41 and if you divide by the original amount its 10%
Q4: Write the equation in slope-intercept form of the line that is perpendicular to
the graph of each equation and passes through the given point. y = 2x - 3; (-5,3
Answer:
y= −1/2x+ 1/2
Step-by-step explanation:
Find the negative reciprocal of the slope of the original line and use the point-slope formula
y-y1=m(x-x1) to find the line perpendicular to y=2x−3.
WILL GIVE EXTRA POINTS
Assignment name: solving angles pairs
Answer:
25
Step-by-step explanation:
Answer:
x = 65
Step-by-step explanation:
Corresponding angles always equal each other;
2x + 5 = 135
Subtract 5 from both sides;
2x = 130
Divide both sides by 2;
x = 65
Find the area........................
Answer:
54
Step-by-step explanation:
You can do 4 times 12 to get the first triangle as 48.
Then you can use the Pythagorean Theorem to get the side length of the bottom one between 4 and 5. c^2=a^2+b^2. 25=16+b^2. 9=b^2, b=3.
Select the correct answer.
Which set of coordinates satisfies the system of equations y = x − 3 and y = -2x + 1?
A
B
C
D
Answer:
it is C
Step-by-step explanation:
Please please please please help me!!!
Answer:
9c2/a4
Step-by-step explanation:
To Clarify 9c is squared and a is held to the fourth power
9. If f(x)=-2x^2+4x-6,
then f(2)=
Answer:
f(2) = -6
General Formulas and Concepts:
Order of Operations: BPEMDAS
Substitution and Evaluation
Step-by-step explanation:
Step 1: Define
f(x) = -2x² + 4x - 6
f(2) is x = 2
Step 2: Solve
Substitute: f(2) = -2(2)² + 4(2) - 6Exponents: f(2) = -2(4) + 4(2) - 6Multiply: f(2) = -8 + 8 - 6Add: f(2) = -6Find the value of x.
Area of circle = 25(pi)
radius = x + 3
The value of the variable x will be 2. Then the radius of the circle will be 5.
What is the area of a circle?Let r be the radius of the circle. Then the area of the circle will be
A = πr² square units
The radius of the circle is x + 3. And the area of the circle is 25π. Then the equation will be
25π = π(x + 3)²
(x + 3)² = 25
x + 3 = 5
x = 5 - 3
x = 2
Then the radius will be
r = x + 3 = 2 + 3 = 5
The value of the variable x will be 2. Then the radius of the circle will be 5.
More about the area of a circle link is given below.
https://brainly.com/question/11952845
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