Answer:
(4x^3 - 9)(4x^3 + 9)
Step-by-step explanation:
16x^6 - 81
write this in the form of a^2 - b^2
(4x^3)^2 - (9)^2
since a^2 - b^2 = (a + b)(a - b) . Write,
(4x^3 - 9)(4x^3 + 9)
Find the range, median, and mode of the following dot plot.
0.11
0.12 0.13
0.14 0.15 0.16 0.17 0.18
Range:
Median:
Mode:
Answer:
Range: 0.07
Median: 0.145
Mode: none
Step-by-step explanation:
Range: largest #- smallest #
Median: middle number (when numbers are in order least to greatest) or when two are middle number you add them, and divide by two
Mode: most occurring number(s) (if there aren't any, no mode)—but if there are multiples such as 2 zeros and 2 ones then 0 and 1 would be the mode
Help? Solve the system of equations.
y = 3x
y = x2 + 3x – 16
solutions: ( );( )
Answer:
(- 4, - 12 ) , (4, 12 )
Step-by-step explanation:
Given the 2 equations
y = 3x → (1)
y = x² + 3x - 16 → (2)
Substitute y = x² + 3x - 16 into (1)
x² + 3x - 16 = 3x ( subtract 3x from both sides )
x² - 16 = 0 ( add 16 to both sides )
x² = 16 ( take the square root of both sides )
x = ± [tex]\sqrt{16}[/tex] = ± 4
Substitute these values into (1) for corresponding values of y
x = - 4 : y = 3 × - 4 = - 12 ⇒ (- 4, - 12 )
x = 4 : y = 3 × 4 = 12 ⇒ (4, 12 )
Can someone help me with this now !
Answer:
its either B or D.
Step-by-step explanation:
could you mark me brainliest pls or even hit the thanks button
Louise begins factoring the polynomial, which has four terms. 8x3+24x2+10x+30 2(4x3+12x2+5x+15) 2[4x2(x+3)+5(x+3)] Which is the completely factored form of her polynomial? 8x2(x + 3)2 2x(4x2 + 5) 2(4x2 + 5) (x + 3) 2(4x2 + 5) (x + 3)2
Answer:
[tex]8x3+24x2+10x+30= 2[(4x^2+5)(x+3)][/tex]
Step-by-step explanation:
Given
[tex]8x3+24x2+10x+30= 2(4x^3+12x^2+5x+15)[/tex]
[tex]8x3+24x2+10x+30= 2[4x^2(x+3)+5(x+3)][/tex]
Required
The complete factored form
We have:
[tex]8x3+24x2+10x+30= 2[4x^2(x+3)+5(x+3)][/tex]
Factor out x + 3
[tex]8x3+24x2+10x+30= 2[(4x^2+5)(x+3)][/tex]
The above represents the completely factored form
Answer:
C on edge
Step-by-step explanation:
I took the test
What is the following values of:
XZ:
XY:
Which is the graph of y - 3 = -2/3(x + 6)?
Answer:
Step-by-step explanation:
y - 3 = -2/3(x + 6) Remove the brackets on the right
y - 3 = -2/3x - 2/3 * 6 Simplify the right
y - 3 = -2/3x - 4 Add 4 to both sides
y = - 2/3 x - 1
I'm going to enclose the graph. Pick the one that has a y intercept at (0,-1) and and an x intercept of (-1.5, 0)goes from the lower right to the upper left as the graph below shows.
Frank has $8000 that he plans to split into two investments. He wrote the following two equations to represent the interests he will earn from each of the two investment options.
2000 A+ 6000B=520
400A+400B=480
Determine the interest rates, A and B as percentages
Answer:
Step-by-step explanation:
I still think your equations are wrong...
4000/4000 not 400/400 since the total investment is to be $8000
not $800
Step-by-step explanation:
2000 A+ 6000B=520
4000A+4000B =480
~~~~~~~~~~~~~~~~~~~~~
2000 A+ 6000B=520
-2000A - 2000B =-240
4000B = 280
B=7%
A=5%
If f(x)=2x2+3x−6, determine the value of f(2)
Answer: 4
2x2+3(2)−6
lets make sure we do OOO (order of operations correctly)
2x2+3(2)−6
4+3(2)−6
4+6−6
10−6
4
Step-by-step explanation:
Complete parallel side 2
Height = 8mm
parallel side 1= 5mm
parallel side 2=?
Area = 72 mm
Step-by-step explanation:
Assume length of side 2 = L
Area of parallelogram is Height x L
So, 72 = 8 x L
L = 9
Solve for x.
3x + 7
2x + 3)
Answer: x = 34
Step-by-step explanation:
2x+3+3x+7=180
5x+10=180
5x=170
x = 34
Find MZUVW if mZPVW = 130° and mZUVP = 26.
What line on a coordinate plane is called the x-axis? Horizontal or Vertical. Please respond as quick as possible
Answer:
it's called the horizontal line
Step-by-step explanation:
also known as y=0
Plzz I beg someone to finish ALL of this :(. I’ve stayed up all night to do this but I couldn’t figure all of them out. Pls pls pls!!! ill mark you brainliest n I can give you a thank you such as 5 Stars in return. Please take your time and I hope you all have a amazing day!
(Spam/same words/diff pics/)
Answer:
17: 6:48
18: 9:45
19: 85 minutes or 1 hour and 25 minutes
20: 165 minutes or 2 hours and 45 minutes
Step-by-step explanation:
Answer:
Step-by-step explanation:
1)
6:05
+ 0:43
6:48 is the answer
2)
8:00
+1:45
9:45 is the answer
3)
7:55
-6:30
1:25 answer
4)
8:20
-5:35
2:45 answer
In a quiz, positive marks are given for correct answers and negative marks are given for incorrect answers, If Anju's scores in four successive rounds were -14, 15, -11 and 20. What was her total at the end.
Answer:
10
Step-by-step explanation:
-14+15 leaves a positive 1
-11+20 leaves a positve 9
add.
25 + 8 (7y - 3) + 3y
Answer:
59y+1
Step-by-step explanation:
25 + 8 (7y - 3) + 3y
Distribute
25+56y-24+3y
Combine like terms
59y+1
Identify each expression with a sum of x2 + 3x +1.
Answer:
There are no like terms.
Step-by-step explanation:
In the diagram below, ΔPQR ≅ ΔSTR. Complete the statement ∠Q ≅ ___
Answer: Choice A. [tex]\angle T[/tex]
Explanation:
Notice how letters Q and T are in the middle of the sequences of PQR and STR respectively. This means the angles correspond.
Because the triangles are congruent, this means the corresponding pieces are congruent. Therefore, angle Q and angle T are the same measure.
As you can see, the order matters when it comes to forming congruence statements. Something like [tex]\triangle PQR \cong \triangle STR[/tex] is slightly different from [tex]\triangle PQR \cong \triangle SRT[/tex]
Congruent triangles have all corresponding measurements like angles and side lengths congruent. The completed statement would be ∠Q ≅ ∠T (Option A: ∠T)
What are congruent triangles?Suppose it is given that two triangles ΔABC ≅ ΔDEF
Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.
The order in which the congruency is written matters.
For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.
Thus, we get:
[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D[/tex] (small m shows we're taking about measurement) (both the statements are equivalent)[tex]\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E[/tex][tex]\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F[/tex][tex]\rm |AB| = |DE| \: \: or \: \: AB \cong DE[/tex][tex]\rm |AC| = |DF| \: \: or \: \: AC \cong DF[/tex][tex]\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex](|AB| denotes length of line segment AB, and so on for others).
For this case, we have: ΔPQR ≅ ΔSTR
Thus, we have:
[tex]\angle Q = \angle T[/tex]
Thus, the completed statement would be ∠Q ≅ ∠T. (Option A: ∠T)
Learn more about congruent triangles here:
https://brainly.com/question/16921692
Martin had 60kgs of sugar. He put the sugar weighing 3/4 kg. How many packets did he fill ??
Answer:
45kg
Step-by-step explanation:
60.3/4=45
Please help i just need to know how to answer these kind of questions
Answer:
Since you didn't ask for the answer
Step-by-step explanation:
sec(∆)=1/cos(∆)
For the above diagram,cos(∆)=15/17
sec(∆)=1/(15/17)
NOTE:I replaced theta
HURRY !!!!!! Which describes the correlation shown in the scatterplot?
I need help very quickly, please!!
Answer:
32ft
Step-by-step explanation:
Tan = opp/adj
Tan(65) = n / 15
Tan(65) x 15 = n
n = 32.16 = 32ft
Answer:
32 feet
Step-by-step explanation:
Hi there!
We are given a right triangle and the angle of elevation (one of the acute angles in the triangle) as 65°, as well as one of the legs (sides that make up the right triangle) as 15
We need to find the height of the triangle.
Let's make the height of the triangle (the side we need to find) x
Since we need to find the height of the triangle, let's use tangent. As we have the angle of elevation given, we'll use that.
Recall that tangent is [tex]\frac{opposite}{adjacent}[/tex]
in reference to the angle of elevation, the opposite side is x, and the adjacent side is 15
that means that:
tan(65)=[tex]\frac{x}{15}[/tex]
plug tan(65) into your calculator (make sure it's on degree mode!)
tan(65)≈2.14
2.14=[tex]\frac{x}{15}[/tex]
multiply both sides by 15 to clear the fraction
32.1=x
The problem asks us to round to the nearest foot, so the height of the building is 32 feet
Hope this helps! :)
Convert r=5/3sinθ−cosθ to rectangular form.
Enter your answer in slope-intercept form by filling in the boxes. Enter values so that fractions are simplified.
Answer:
y = 1/3 x + 5/3
Step-by-step explanation:
For rectangular to polar
x = rcosθ ... 1
y = rsinθ ... 2
Given the expression
r=5/3sinθ−cosθ
Cross multiply
r(3sinθ−cosθ) = 5
Expand
3rsinθ−rcosθ = 5 ..3
Substitute 1 and 2 into 3
3y - x = 5
Write in slope intercept form
3y = x + 5
Divide through by 3;
3y/3 = x/3 + 5/3
y = x/3 + 5/3
y = 1/3 x + 5/3
Hence the expression in slope-intercept form is y = 1/3 x + 5/3
Findfind the value of each variable used in the figures if your answer is an integer express it in simples radical form
Answer:
c=2
Step-by-step explanation:
the sides of a 30-60-90 right triangle are in the ratio 1:[tex]\sqrt{3}[/tex]:2
Mohamed and Miguel go to the movie theater and purchase refreshments for their friends. Mohamed spends a total of $18.25 on two bags of popcorn and three
drinks. Miguel spends a total of $27.50 for four bags of popcorn and two drinks.
a) Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.
b) Using your system from part a), determine and state the price of one bag of popcorn and the price of one drink.
To get 400 as quotient, what number is to be divided by 16?
400+16
400 -16
400÷16
400× 16
Answer:
400×16
Step-by-step explanation:
let the number be n.
[tex] \frac{n}{16 } = 400 \\ 16 \times \frac{n}{16} = 400 \times 16\\ n = 400 \times 16[/tex]
Complete the frequency distribution table below.
Answer:
.............soooooooooooooooerrrrrrrrrrrrryyyyyyyyyyyyyyy.......... iiiiiiiii........ doooooooonnnnnnnnntttttttt......... kkkknnnnnooooowwww
5 out of every 11 children in a school are girls. What is the ratio of girls to boys in the school?
I don’t get this question can someone plz help meee
Answer:
-16
Step-by-step explanation:
Given that the first term is -10 .
=> a1 = -10 .
General formula:-
=> a_n = a_n -1 + 3 .
Therefore , the common difference :-
=> 2nd term - 1 term
=> a_n-1 - a_n = -3
nth term of the AP is ,
=> T_n = a + (n-1)d
=> T_3 = -10 + (3-1) × -3
=> T_3 = -10 + -6
=> T_3 = -16 .
Given JKL: XYZ, find x.
Answer:
is there a pic to go along? i need more to this..
A Rectangle is formed by placing two identical squares side-by-side the area of the rectangle is two cm². What is the perimeter of one square
Answer:
4cm
Step-by-step explanation:
first find the length of the side of one square
the length of the rectangle will be twice the width
let y represent the width
area of a rectangle=length x width
2cm²=2yxy
2cm²=2y²
2cm²/2=2y²/2
1cm²=y²
1√cm²=√y²
1cm=y
perimeter of a square=4xside
4x1cm
4cm