Answer:
3x³ + 5x² + 4x + 4
Step-by-step explanation:
Given
(x + 2)(x² + x + 2) + 2(x³ + x²)
To expand the product, each term in the second factor is multiplied by each term in the first factor, that is
x(x² + x + 2) + 2(x² + x + 2) + 2(x³ + x²) ← distribute the parenthesis
= x³ + x² + 2x + 2x² + 2x + 4 + 2x³ + 2x² ← collect like terms
= 3x³ + 5x² + 4x + 4
Which is equal to sin 90°?
a. tan 90 degrees
b. cos 90 degrees
c. sin 0 degrees
D. cos 0°
Answer:
D. cos 0°
Step-by-step explanation:
[tex] \because \: \cos \: 0 \degree = 1 \\ and \: \sin 90 \degree = 1 \\ \\ \therefore \: \cos \: 0 \degree =\sin 90 \degree [/tex]
hello there can anyone solve this plz (chart is attached):
correct answer gets brainliest
If h(x) = f[f(x)] use the table of values for f and f ' to find the value of h '(1)
Answer:
[tex]h^\prime(1)=14[/tex]
Step-by-step explanation:
We have the function:
[tex]h(x)=f[f(x)][/tex]
And we want to find:
[tex]h^\prime(1)[/tex]
So, we will differentiate function h. By the chain rule, this yields:
[tex]h^\prime(x)=f^\prime[f(x)]\cdot f^\prime(x)[/tex]
Then it follows that:
[tex]h^\prime(1)=f^\prime[f(1)]\cdot f^\prime(1)[/tex]
Using the table, we acquire:
[tex]h^\prime(1)=f^\prime(3)\cdot2[/tex]
And using the table again, we acquire:
[tex]h^\prime(1)=7\cdot 2[/tex]
Evaluate. Hence:
[tex]h^\prime(1)=14[/tex]
Kara’s bedroom is in the shape of a rectangle. The perimeter of her room is 50 feet. The width of her room is 12 feet. What is the length of Kara’s room?
A
13 feet
B
25 feet
C
26 feet
D
38 feet
Answer:
25 feet my guy and u deserve a meme scroll down for it
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
help me please!! i will give brainliest
Answer:
F BStep-by-step explanation:
HELP PLEASE HELP HELP THIS HOMEWORK IS LATE I NEED HELP ILL MARK BRAINLIEST!!! I THINK THIS IS 26 POINTS OR SUM IDK BUT HELP
Answer: Elevator A
Step-by-step explanation:
30 ÷ 4 =7.2 floors per 6 sec
30 ÷ 3 = 10 floors per 5 scc
rewrite as a monomial in its standard form:
-(3xy)^2 * (-3x)^3
simplify the following by combining like terms
-5 - x + 4x - 4
PLZ HELP
Answer:
3x-9
m=3
Step-by-step explanation:
Please help im bad at math
Eileen is 21 years old, which is 6 less than 3 times Minnie’s age in years. Write an equation to find Minnie’s age. How old is Minnie?
A. 4
B. 3
C. 5
D. 9
Answer: Minnie is 9 years old
Step-by-step explanation:
Eileen = e = 21
Minnie = m
E = 3m - 6
3m - 6 = 21
3m = 27
m = 9
solve by completing the square t² - 6t = 7
Answer:
t = 7 or t = -1
Step-by-step explanation:
You can use a calculator or:
t² - 6t = 7
-> t² - 6t -7 = 0
-> t² - 7t + t - 7 = 0
-> t(t-7) + (t-7) = 0
-> (t-7) . (t+1) = 0
-> t = 7 or t = -1
Answer:
T = 7
Step-by-step explanation:
How you find T is by multiplying different numbers and squaring them by subtracting until you get to the number that equals to 7
Arectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal?
O 31 units
O 39 units
O 41 units
O 49 units
In parallelogram STUV, find the measure of TS.
Answer:
123.8 cm
Step-by-step explanation:
well we know that STUV is a parallelogram (given)
so by properties of a parallelogram we know that opposite sides are congruent (in other words equal)
so we have that
VU=TS
and we know that VU=123.8 cm (given)
so TS=123.8
a recipe calls for 3 parts water to 1 part milk. how much milk will you need if you use 12 mL of water?
Answer:
3mL
Step-by-step explanation:
what are the like terms in this exspression 9a-3b + 4ab
Answer:
none of these terms are like terms
Answer:
there is no like terms in this expression
Step-by-step explanation:
there is "a", "b" and "ab"
you cant combine anything because they are all different
Hope this helps!!
Find an ordered pair to represent in the equation vec t =4 vec t +6 vec v vec u =(-1,4) and and
Answer:
(14, 4)
Step-by-step explanation:
The question is not well structured and incomplete.
Restructured
Find an ordered pair to represent in the equation vec t = 4 vec u +6 vec v where vec u =(-1,4) and vec v = (3,-2)
Substitute the given vector into the expression for vec t.
Recall that: vec t = 4 vec u +6 vec v
vec t = 4(-1,4)+6(3,-2)
vec t = (4(-1), 4(4)) + (6(3), 6(-2))
vec t = (-4, 16) + (18, -12)
vec t = (-4+18, 16+(-12))
vec t = (14, 16-12)
vec t = (14, 4)
Hence an ordered pair to represent vec t in the equation is (14, 4)
Note that the vec v was assumed. Any other vector coordinate can also be used
umm help?
310−−√
30√10
3√5
3√10
15√5
44−−√
222−−√
440−−√
211−−√
411−−√
192−−−√
824−−√
83√
643√
106√
Step-by-step explanation:
idek what u mean so can u explain or a pic
Expand and simplify
(5x+2)(2x-3)
Step-by-step explanation:
(5x + 2)(2x –3)
5x² – 15x + 4x – 6
5x² – 11x –6
Help me pls I would really appreciate it !!
Help plsss I don’t get it
Answer:
y > 3x - 3
Step-by-step explanation:
First off, to write a linear equation or linear inequality, we use the slope-intercept form: y = mx + b, where m represents the slope of a line, and b represents the y-intercept.
The slope of the line is found using rise/run. The rise, in this case, is 3, and the run is 1. 3/1 is 3. So, we can replace the m in the equation with 3 to get:
y = 3x + b
To find b, simply look for where the line crosses the y-axis (vertical line). In this case, it's -3.
The equation you have now is y = 3x + (-3), which is y = 3x - 3.
You're not done yet. A dotted line like here means a point ON the line is not a solution to the equation, so you have to replace the = with < or >. In this case, the shaded region is everything GREATER THAN -3, meaning you use the > (greater than) symbol.
Your final answer is y > 3x - 3.
Hope this helped!
Answer:
Step-by-step explanation:
The other answer should get the Brainliest. Don't neglect awarding it. They are very good to get.
I'm only going to add a graph for you to see. All it does is point out what < and > mean.
As the other responder said, when the boundary is dotted, it is not included in the shaded part.
Also he pointed the difference between < and >. That is what I wanted to address. It is easy to tell.
< is less than the boundary and it is blue.
> is greater than, and it is green.
if the line is solid, then ≤ or ≥ is used.
Amelia started a puzzle at 12:56 p.m. and solved it at 2:33 p.m.
How long did it take Amelia to solve the puzzle?
Step-by-step explanation:
12:56pm to 1:00pm = 4 min
1:00pm to 2:00pm = 1 hour
2:00pm to 2:33pm = 33 min
Total time = 4 min + 1 hour + 33 min = 1 hour 37 minutes.
A sponge filters water to eat microscopic food. A sponge can filter 8 liters of water in 10 hours or 12 liters in 15 hours. Is this relationship proportional?
Answer:
Yes.
Step-by-step explanation:
It is given that, A sponge can filter 8 liters of water in 10 hours or 12 liters in 15 hours.
8 L = 10 h
1 h = [tex]\dfrac{10}{8}[/tex] = 1.25 h
or
12 L = 15 h
1 h = [tex]\dfrac{15}{12}[/tex] = 1.25 h
Hence, this relationship is proportional.
What is the image of the point (-1,-2)after a rotation of 180∘
counterclockwise about the origin?
Answer:
The image of the point is (1, 2)
Step-by-step explanation:
If the point (x, y) rotated about the origin by angle 90° counterclockwise, then its image is (-y, x)If the point (x, y) rotated about the origin by angle 180° counterclockwise, then its image is (-x, -y)If the point (x, y) rotated about the origin by angle 270° counterclockwise, then its image is (y, -x)Let us use the rules above to solve the question
∵ The point (-1, -2) is rotated 180° counterclockwise about the origin
→ By using the 2nd rule above change the signs of x and y coordinates
∴ Its image is (1, 2)
∴ The image of the point is (1, 2)
Answer:
(1,2)
Step-by-step explanation:
HELP!!! HELPPP!!!
After a 30% discount, the sale price of a hat is $17.50.
What was the original price of the hat?
Answer:
22.75
I did some work to try and find this answer sorry if it is wrong I tried.
A test has 10 questions worth 100 points in total. The test consists of multiple choice questions, which at worth 4 points each, and open-response questions, which are worth 12 points each. How many multiple choice questions are on the test
Given:
A test has 10 questions worth 100 points.
Points of each multiple choice question = 4
Points of each open-response question = 12
To find:
The number of multiple choice questions.
Solution:
Let x be the number of multiple choice questions and y be the open-response questions.
According to the question,
Total question : [tex]x+y=10[/tex] ...(i)
Total points : [tex]4x+12y=100[/tex] ...(ii)
Form (i), we get
[tex]y=10-x[/tex] ...(iii)
Putting this in (ii), we get
[tex]4x+12(10-x)=100[/tex]
[tex]4x+120-12x=100[/tex]
[tex]-8x=100-120[/tex]
[tex]-8x=-20[/tex]
Dividing both sides by -8, we get
[tex]x=\dfrac{-20}{-8}[/tex]
[tex]x=2.5[/tex]
Since x is the number of multiple choice questions, so it cannot be a faction value.
Therefore, the number of multiple choice questions in test are either 2 or 3.
anyone?? please? there's only 5 and i gotta get theses done asap
Answer:
you would be multiplying by 4
Step-by-step explanation:
16*4=65
I’m really struggling on this question:
Expand the bracket
2x(11x+1)
If you could help I would really appreciate it :)
Answer:
The answer is =22x²+2x
Step-by-step explanation:
2x(11x+1)
=22x²+2x
Tomika heard that the diagonals of a rhombus are perpendicular to each other. Help her test her conjecture. Graph quadrilateral ABCD on a coordinate grid with A(1, 4), B(6, 6), C(4, 1), and D(–1, –1).
a. A rhombus has 4 sides that are equal length. Is ABCD a rhombus? Show how you know.
b. Write the equations of the lines on which the diagonals lie. That is, write the equations of lines AC and BD.
c. Compare the slopes of lines AC and BD. What do you notice?
Answer:
a. The four sides of the quadrilateral ABCD are equal, therefore, ABCD is a rhombus
b. The equation of the diagonal line AC is y = 5 - x
The equation of the diagonal line BD is y = 5 - x
c. The diagonal lines AC and BD of the quadrilateral ABCD are perpendicular to each other
Step-by-step explanation:
The vertices of the given quadrilateral are;
A(1, 4), B(6, 6), C(4, 1) and D(-1, -1)
a. The length, l, of the sides of the given quadrilateral are given as follows;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
The length of side AB, with A = (1, 4) and B = (6, 6) gives;
[tex]l_{AB} = \sqrt{\left (6-4 \right )^{2}+\left (6-1 \right )^{2}} = \sqrt{29}[/tex]
The length of side BC, with B = (6, 6) and C = (4, 1) gives;
[tex]l_{BC} = \sqrt{\left (1-6 \right )^{2}+\left (4-6 \right )^{2}} = \sqrt{29}[/tex]
The length of side CD, with C = (4, 1) and D = (-1, -1) gives;
[tex]l_{CD} = \sqrt{\left (-1-1 \right )^{2}+\left (-1-4 \right )^{2}} = \sqrt{29}[/tex]
The length of side DA, with D = (-1, -1) and A = (1,4) gives;
[tex]l_{DA} = \sqrt{\left (4-(-1) \right )^{2}+\left (1-(-1) \right )^{2}} = \sqrt{29}[/tex]
Therefore, each of the lengths of the sides of the quadrilateral ABCD are equal to √(29), and the quadrilateral ABCD is a rhombus
b. The diagonals are AC and BD
The slope, m, of AC is given by the formula for the slope of a straight line as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore;
[tex]Slope, \, m_{AC} =\dfrac{1-4}{4-1} = -1[/tex]
The equation of the diagonal AC in point and slope form is given as follows;
y - 4 = -1×(x - 1)
y = -x + 1 + 4
The equation of the diagonal AC is y = 5 - x
[tex]Slope, \, m_{BD} =\dfrac{-1-6}{-1-6} = 1[/tex]
The equation of the diagonal BD in point and slope form is given as follows;
y - 6 = 1×(x - 6)
y = x - 6 + 6 = x
The equation of the diagonal BD is y = x
c. Comparing the lines AC and BD with equations, y = 5 - x and y = x, which are straight line equations of the form y = m·x + c, where m = the slope and c = the x intercept, we have;
The slope m for the diagonal AC = -1 and the slope m for the diagonal BD = 1, therefore, the slopes are opposite signs
The point of intersection of the two diagonals is given as follows;
5 - x = x
∴ x = 5/2 = 2.5
y = x = 2.5
The lines intersect at (2.5, 2.5), given that the slopes, m₁ = -1 and m₂ = 1 of the diagonals lines satisfy the condition for perpendicular lines m₁ = -1/m₂, therefore, the diagonals are perpendicular.
Suzette is opening an office cleaning business. Her competitor charges $35 per hour plus a $42 cleaning supply fee. Which inequality could be used to represent the situation where Suzette’s charges, S, would be no more than her competitor’s charges?
Answer:
[tex]S\le 35h+42[/tex]
Step-by-step explanation:
Given that:
Cleaning supply fee charged by the competitor = $42
The charges by competitor per hour = $35
Let the number of hours = [tex]h[/tex] hours
Charges for [tex]h[/tex] number of hours = Number of hours multiplied by Charges per hour = $35[tex]h[/tex]
Now, total charges by the competitor = Charges for [tex]h[/tex] number of hours + Charges by the competitor = $35[tex]h[/tex] + 42
Charges of Suzette's = [tex]S[/tex]
As per question statement, the Suzette's charges can not be more than the competitor charges. Therefore Suzette's charges must be lesser than or equal to the competitor charges.
So, the inequality can be written as:
[tex]S\le 35h+42[/tex]
Where [tex]h[/tex] represents the number of hours.
A series is defined by 5+9+13+17+.......+805 a. Find the number of terms of the series. b. Find the sum of the first 20 terms.
Answer: the number of terms of the series is 201 numbers
the sum of the first 20 terms is 890
the number of terms of the series is [tex]\frac{805-5}{4}+1=201[/tex]
the series have:
u1 = 5
d = 4
=> u(n) = 5 + 4.(n - 1)
=> u(20) = 5 + 19.4 = 81
so the sum of the first 20 terms is (81 + 5).20/2 = 890
( u1 is the first number of the series, d is the distance between front and rear numbers, u(n) is the overall term of the sequence, u(20) is the 20th of the series)
Step-by-step explanation:
What is the surface area of the right triangular prism
A 2,127 square centimeters
B 2,367 square centimeters
C 4,440 square centimeters
D 5,920 square centimeters
Answer:
A
Step-by-step explanation:
Area of a base: 16 × 15 ÷ 2 = 120
Area of sides:
37 × 15 = 555
37 × 16 = 592
37 × 20 = 740
Area of prism: 2 × 120 + 555 + 592 + 740 = 2127
help me pleaseeeee!!!
Answer:
1. distribution property
2. subtraction property
3. division property
Step-by-step explanation:
Answer:
Try division property
