Answers
Problem 11
Answer: -4x^2 - 6 (choice 3)Work Shown:
P = 4x^2-x+1
Q = -6x^2+x-4
P+Q = sum of P and Q
P+Q = (4x^2-x+1)+(-6x^2+x-4)
P+Q = (4x^2-6x^2)+(-x+x)+(1-4)
P+Q = -2x^2+0x-3
P+Q = -2x^2 - 3
2*(P+Q) = twice the sum of P and Q
2*(P+Q) = 2*(-2x^2 - 3)
2*(P+Q) = 2(-2x^2) + 2(-3)
2*(P+Q) = -4x^2 - 6
======================================================
Problem 12
Answer: 6x^3 + 4x^2 - 34 (choice 1)Work Shown:
y = 3x^3 + x^2 - 5
z = x^2 - 12
2(y+z) = 2(3x^3 + x^2 - 5 + x^2-12)
2(y+z) = 2(3x^3 + 2x^2 - 17)
2(y+z) = 2(3x^3) + 2(2x^2) + 2(-17)
2(y+z) = 6x^3 + 4x^2 - 34
Answer:
11. 3
12. 1
Step-by-step explanation:
11.
[tex](4x^2-x+1)+(-6x^2+x-4)\\4x^2-x+1-6x^2+x-4\\-2x^2-3[/tex]
Double that
[tex](2)(-2x^2-3)\\-4x^4-6[/tex]
----------------------------------------------------------
12.
[tex]y=3x^3+x^2-5\\z=x^2-12[/tex]
[tex]2(y+z)\\2(3x^3+x^2-5+x^2-12)\\2(3x^3+2x^2-17)\\6x^3+4x^2-34[/tex]
Related Questions
X+2y>10
1.(1,3)
2.(2,0)
3.(1,1)
4.(5,3)
Answers
Answer:
very easy just compensate using the first number for x and the other for y
let's try 5 for x and 3 for y
5+2*3=11>10 so it's the answer
4.(5,3)
Is -20.33 rational or irrational?
Answers
Answer:
No it is irrational (looked at it wrong)
was da answer people?
Answers
Answer:
39 homes
Step-by-step explanation:
The fraction of people having computers is
13/20
Multiply by the number of homes
13/20 * 60
13 * 60/20
13*3
39
39 homes
Answer:
39 Computers
Step-by-step explanation:
i never really understood how everyone does these types of question so i just do them my own way:
60/20 = 3
13*3 = 39
ʕ•ᴥ•ʔ (dats a bear)
The oblique prism has a rectangular base with a width of 10 units and a length of 13 units.
An oblique prism with a rectangular base is shown. The rectangular base has a width of 10 units and a length of 13 units. The distance between the top and the bottom base is 17 units. The top base extends 8 units to the right of the bottom base.
The top base extends 8 units to the right of the bottom base. What is the volume of the prism?
Answers
Answer:
Volume of the prism = 1950unit³ (C)
Step-by-step explanation:
The question is incomplete without the diagram of the oblique prism and its dimension.
Find attached the diagram used in solving the question.
The prism has a rectangular base:
width= 10 units
length = 13 units
The distance between the top and the bottom base = 17 units.
Volume of prism = Area of base × height
Area of base = area of rectangle = Length ×width
= 13× 10
Area of base = 130unit²
To get the height, we would apply Pythagoras theorem
Hypotenuse² = opposite² + adjacent ²
17² = h² + 8²
289 = h² + 64
h² = 289-64 = 225
h = √225
h = 15unit
Volume of the prism = 130 × 15
Volume of the prism = 1950unit³ = 1950 cubic units
Answer:
The answer is C which is 1950 on EDGE
Step-by-step explanation:
Round your answer to the nearest hundredth..
B
?
5
2
A
С
Answers
Answer: m<B = 66.42
Step-by-step explanation:
Use cosine to find the missing angle.
Cosine = adjacent/hypotenuse
cos x = 2/5
since you know the side lengths and you’re finding the angle, use inverse cosine
cos -1 (2/5) = 66.4218215...
m<B = 66.42
Hey there!
We are looking for an angle. Whenever we want to look for an angle in a right triangle given two sides, we use inverse trigonometric functions. This is basically the inverse operation of the sine, cosine, and tangent. You could use it to undo any of these in an equation. If you said that the sine of x was equal to 1/2, you would do the inverse sine of 1/2 and get that x=30.
In our case, we see that the cosine of our angle is 2/5. How do we know that?
Well, we can remember the trigonometric functions using the mnemonic "soh cah toa"
SOH
Sine= Opposite/Hypotenuse
CAH
Cosine= Adjacent/Hypotenuse
TOA
Tangent= Opposite/Adjacent
If we look at the number values we have, we have 2 (the adjacent side to the angle) and 5 (the hypotenuse). This is adjacent over hypotenuse, which is the cosine. So, the cosine of our angle is 2/5.
Now, we can put this into an equation. I will call the measure of our mystery angle Θ (theta).
cosΘ= 2/5
We want to get the theta by itself to solve the equation. To do this, we have to use the inverse cosine on both sides of the equation to cancel out our cosine and figure out the value of theta. The inverse trig functions can be found on a calculator :)
cos[tex]^-1[/tex]cosΘ=cos[tex]^-1[/tex] 2/5
Θ ≈ 66.42
I hope that this helps! Now you will be able to find any angle given two sides of a right triangle! Have a wonderful day!
The surface area of a prism is 224 square inches. What is the surface area of a similar prism that has dimensions that are 1/4 the original dimensions?
Answers
Answer:
The surface area of the similar prism is 56 square inches
Step-by-step explanation:
Given surface area of prism, A = 224 square inches
The total surface area of a triangular prism = 2 x Area of triangle + ph
Area of triangle = ¹/₂bh
Where;
b is the base of the prism
h is the height of the prism
p is the perimeter of lateral surfaces
Area of prism involves the product of the dimensions, if the new dimensions is 1/4 the original dimensions;
Product of original dimensions = 224 square inches
1/4 of the product of original dimensions = 1/4 x 224 square inches
= 56 square inches
The surface area of the similar prism = 56 square inches
Thus, the surface area of the similar prism is 56 square inches
Can u guys help pls? This is due in 10 mins
Answers
Answer:
Question 7: 16n^8 Question 8: 6r^4 Question 4: (-1,-7) Question 6: 6y^7
Step-by-step explanation:
Do i need it?
6. b 6y^7
7. b 16n^8
Nadia says the hypotenuse of this right triangle has a length of 73 because the Pythagorean theorem states that (28 + 45) squared = 73 squared.
3 squares are positioned to form a right triangle. The small square is labeled 28, medium square is 45, and large square is not labeled.
Which best describes Nadia’s solution
The answer could be
A:She is correct because she applied the Pythagorean theorem properly and her arithmetic is accurate.
B:She is incorrect because she should have used 45 as the length of the hypotenuse.
C:She is incorrect because she should have squared each leg length and then found the sum.
D:She is correct because the hypotenuse is the longest side of the triangle.
Answers
Answer:
C :She is incorrect because she should have squared each leg length and then found the sum
Need help ASAP. WILL MARK BRAINLIEST.
Answers
Answer:
5pi
Step-by-step explanation:
Rosie needs to buy balloons and tablecloths for her party. Each balloon costs $1.50 and each tablecloth costs $2.25. She cannot spend more than $30.00 on balloons and tablecloths for the
party. Write an inequality to represent the possible number the balloons and tablecloths that Rosie can buy. Let'x' represent balloons and and represent the tablecloths
Answers
Answer:
1.50x + 2.25y ≤ 30
Step-by-step explanation:
Hi, let’s say that 'y' represent the tablecloths.
So, we have to write an inequality:
The product of the number of balloons (x) and the cost of each one (1.50) plus the product of the number of tablecloths (y) and the cost of each tablecloth (2.25) must be less or equal to Rosie's budget (30)
Mathematically speaking:
1.50x + 2.25y ≤ 30
Feel free to ask for more if needed or if you did not understand something
Answer: The inequality can be written as 1.5x + 2.25y ≤ 30
Step-by-step explanation: What Rosie needs is an expression that shows the highest she can spend on tablecloths and balloons. If the question states that she cannot spend more than 30 dollars, then it simply means she can either spend a maximum of 30 dollars, OR any amount below 30 dollars. So what she needs is an inequality that shows her spending as being less than or equal to 30.
Let the balloons be represented by letter x and the tablecloths be represented by the letter y. If each balloons cost 1.50 dollars, then the total cost of balloons equals 1.5 times x or simply 1.5x. Likewise, if each tablecloth cost 2.25, then the total cost of tablecloths shall be 2.25y.
The possible number of balloons and tablecloths that she can buy based on the conditions given can be expressed as follows;
1.5x + 2.25y ≤ 30
What is the 14th term in the sequence 6n + 1
Answers
Answer:
85
Step-by-step explanation:
6(14)+1=
84+1=
85
Hope this helps! please mark brainliest :)
Find the midpoint of the segment with the following endpoints (6,3) and (10, – 7)
Answers
Answer:
-5/2
Step-by-step explanation:
-7-3/10-6 = -10/4 which equals -5/2
Solve for V in V = s 3, if s = 4. V = a0
Answers
Answer:
64\ units^{3}
Step-by-step explanation:
we have
V=s^{3}
This is the formula to calculate the volume of a cube
where
s is the length side of the cube
In this problem we have
s=4\ units
substitute
V=4^{3}=64\ units^{3}
Anyone understand how to do this?
Answers
Answer:
f ( x ) = - 2x^2 + 3x + 1
Step-by-step explanation:
If f (x ) extends to → − ∞, as x→ − ∞ , provided f(x) → − ∞, as x → +∞, we can rewrite this representation as such;
− ∞ < x < ∞, while y > − ∞
Now the simplest representation of this parabola is f ( x ) = - x^2, provided it is a down - facing parabola;
If we are considering a down - facing parabola, the degree of this trinomial we should create should be even, the LCM being negative. Knowing that we can consider this equation;
Solution; f ( x ) = - 2x^2 + 3x + 1, where the degree is 2, the LCM ⇒ - 2
Hello can someone please help me with this question will give brainliest
Answers
Answer:
X and Y have a weak, negative correlation.
Answer:
The answer is x and y have a weak negative correlation
Step-by-step explanation:
The points do not form a very straight line, so that is considered weak.
The points are arranged from higher on the left to lower on the right, indicating a negative slope.
I hope this helps! :)
if you can help with any of these two or both that would be great ! :)
thanks
Answers
Answer:
hmmm not sure
Step-by-step explanation:
try mulitply the numbers
The entertainment committee at Maplecrest Junior High School has narrowed down the theme of the Spring Dance to three choices. The ten committee members want to conduct a survey to determine which theme Maplecrest's 2000 students prefer. There will be three choices (Disco Fever, The Crazy Eighties, or Hip Hop Til You Drop) and the committee will go with the theme that gets the most votes.
Which of the following survey methods will allow the committee to make a valid conclusion about which theme Maplecrest's student body prefers?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Each of the 10 committee members can ask 10 friends to obtain a sample of 100 students.
(Choice B)
B
Assign a number to each student, and use a computer program to generate 100 random numbers between 1 and 2000. Ask those students whose numbers are selected.
Answers
Answer:
B
Step-by-step explanation:
To make the survey fair, every student in the school has to have an equal chance to be selected to take the survey. The first scenario would only allow friends of the committee members to be selected, but the second one would give a chance to all students.
-36 divided by what gives -4
Answers
Answer:
-36 divided by 9= -4
Step-by-step explanation:
-36 divided by 9= -4
USE A CALCULATOR OR DO THE INVERSE
Answer:
9
Step-by-step explanation:
-36/x=-4
x=-36/-4
Note, -/-=+
Therefore, x=9
Hope you understand
will mark brainliest answer for fastest answer given
Answers
Answer:1/8
Step-by-step explanation:
there are 8 slices and its asking for the probability of one number. so its 1 out of 8
Answer: 1/4
Step-by-step explanation:
3 and 6 are multiples of 3. There are 8 possible options, and 2 multiples of 3.
2/8 = 1/4
Solve for the height (h) of this triangular prism if the volume is 1080. The
volume of a triangular prism is V = (B)(h), where B is the area of the
triangle. Remember the area of a triangle is 1/2(b)(h). BE CAREFUL
BECAUSE THERE ARE TWO HEIGHTS, ONE FOR THE TRIANGLE AND ONE
FOR THE TRIANGULAR PRISM. *
h
15
8
Answers
Answer: 18
Step-by-step explanation:
Area of triangle = (0.5) × base(b) × height(h)
Base of triangle = 8
Height of triangle = 15
Area of triangle = (0.5) × 8 × 15 = 60
Volume of triangular prism = B × height
Where h = height
B = area of triangle
Volume of triangular prism = 1080
Find the height(h) of the triangular prism
Volume of triangular prism = B × height
1080 = 60 × h
h = 1080 / 60
h = 18
a1 = 92 cm
b1 = 66.7 cm
a2 = 38 cm
b2 = 53.42 cm
h = 52 cm
Answers
Answer:
area=250.12. perimeter=3380
Step-by-step explanation:
What is the circumference of the circle? Use 3.14 for pi r=6.4 cm circle
Answers
So the right answer is of option B.
Look at the attached picture
Hope it will be helpful to you..
Good luck for your test...
does any of yall know the answer to this shat?
Answers
Answer:
s=2
Step-by-step explanation:
subtract 21 from both sides= -3s=-6
divide by -3 to get s alone
s=2
s = 2
Step-by-step explanation:
subtract 21 to both sides
-3s= -6
then divide by -3 both sides to isolate s variable
s= 2
Matt wants to purchase 3.5 pounds of Swiss cheese for a party. Each pound costs $4.95. How much will Matt pay for the Swiss cheese, rounded to the nearest whole cent?
Answers
Answer:
$17.33
Step-by-step explanation:
3.5×4.95
=17.325
= $17.33
Simplify to create an equivalent expression.
2(3y + 6) -3 (-4 - y)
Answers
Step-by-step explanation:
6y+12+12+3y
=9y+24
=3(3y+8)
Heyy anybodyy help me please!
Answers
Answer: They are both tesselate shapes
Step-by-step explanation: The only shapes that can tesselate are the square, the equilateral triangle, and the hexagon. On this problem, it includes the equilateral triangle and the square, so therefore both of them are able to tesselate
I have provided 2 pictures. Please help.
Answers
Answer:
Feature 1- Statement A, Feature 2-Statement 2, Feature 3- Statement 1
1. Lily is paid $5.25 per hour for raking leaves.
What is the Dependent Variable:
What is the Independent Variable:
The Rate of Change:
The Initial Value:
The Equation:
Direct / Partial:
Answers
5.25 per hour dependent
independent raking leaves
Thank you for helping me
Answers
Answer:
thank you for giving me points ;)
Step-by-step explanation:
what is the y-intercept of the equation y=-x?
Answers
Answer:
0,0
Step-by-step explanation:
