Factor the following expression completely. 16x^5-x^3
Answer:
x³ (4x + 1)(4x - 1)
Step-by-step explanation:
Answer:
x^3 (4x-1)(4x+1)
Step-by-step explanation:
16x^5-x^3
Factor out x^3
16* x^2*x^3 - x^3
x^3(16x^2 -1)
The term inside the parentheses is the difference of squares
a^2 - b^2 = (a-b)(a+b)
x^3 ( (4x)^2 -1^2)
x^3 (4x-1)(4x+1)
Hey can someone help me figure out what 3/4(x-8)=12
Answer:
x=24
Step-by-step explanation:
3/4(x-8)=12
Multiply each side by 4/3
4/3*3/4(x-8)=12*4/3
x-8 = 16
Add 8 to each side
x-8+8 = 16+8
x=24
Answer:
x = 24
Step-by-step explanation:
Essentially, you need to break this apart.
You need to isolate the x to figure it out with division or something.
To isolate, you need to get rid of the numbers around it.
To get rid of the 3/4, you can convert it to a decimal to make it easier, and then divide both sides by 0.75 to get rid of it on the x's side.
You now have
x-8 = 12/0.75
You can quickly punch the right side into a calculator to make it easier.
x - 8 = 16
You then add 8 to both sides to finish off the x, to get
x = 24
write the equation in point -slope form using this graph
Step-by-step explanation:
Step 1: Write the equation using point-slope form
Point-Slope Form: [tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]
[tex]y-0=m(x-3)[/tex]
[tex]y = m(x-3)[/tex]
Step 2: Find the slope
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{-2-0}{-2-(-3)}[/tex]
[tex]m=\frac{-2}{1}[/tex]
[tex]m=-2[/tex]
Step 3: Combine them together
[tex]y = m(x - 3)[/tex]
y = -2(x - 3)
IF NEEDED: Completely factor
[tex]y = (-2 * x) + (-2 * -3)[/tex]
y = -2x + 6
Please help explanation if possible
Answer:
y=-3x+5
Step-by-step explanation:
concepts: y=mx+b is slope intercept equation formula
m=slope
b= y intercept
Therefore we need to find the slope and y intercept
first find slope
m=[tex]\frac{y2-y1}{x2-x1}[/tex]
let y2 be 2
let y1 be -4
let x2 be 1
let x1 be 3
[tex]\frac{2-(--4)}{1-3}[/tex]
6/-2 = -3
m=-3
slope is -3
y= -3x+ b
we need find y intercept now
just plug in (1,2) into that equation
2=-3(1)+b
b=5
y=-3x+5
I need help really bad does can I contact anyone for help I need to complete or I fail really bad.
Step-by-step explanation:
45 >= 4x + 5
40 >= 4x
10 >= x (x <= 10)
and
53 > 4x + 5
48 > 4x
12 > x (x < 12)
so, both conditions need to be true (that is the meaning of "and").
how can that be achieved ? well, the harder, narrower condition beats any other.
so, when x <= 10, then it is automatically also smaller than 12.
so, the solution (inequality notation) is
x <= 10
and the graph just shows a line that starts at 10 (with a full, black dot at 10, as the point is included) and goes all the way to the left (to infinity and beyond ...)
Which regular polygon can be used to form a tessellation?
I need help
Answer: Option 4 (Hexagon)
Step-by-step explanation:
A equilateral triangle, square and hexagon can be used to form a tessellation.
Please click thanks and mark brainliest if you like
in triangle ABC the measure of angle A is 90. the length of AB is 1 unit the length of AC is 8 unit, find the legth of BC
Answer:
8.06
Step-by-step explanation:
by using pythagoras
BC^2=1^2+8^2
BC^2=1+64
BC^2=65
BC=√65
BC=8.06
Gregg’s phone plan charges $.50 per text message plus $.70 a day. Howard’s plan charges $.30 a text plus $2.50 a day. For what number of texts, a day are the cost of the phone plans the same? Show work.
Answer:
x=9
Step-by-step explanation:
.5x+.7 = .3x+2.5
-.7 -.3x
.2x=1.8
/.2 /.2
x=9
.5(9)+.7=5.2
.3(9)+2.5=5.2
the function h(x) is a transformation of the square root parent function
Answer:
h(x)=\sqrt(x+6)
Step-by-step explanation:
I just did the test for a p e x
If (3+√5)(4-√5)=a+b√5, where a and b are integers, then what is the value of a + b?
I’m very confused abt this question: Look at the pic for clarification.
Answer:
8A
Step-by-step explanation:
We are multiplying the matrix by a scalar
Each term in the first matrix is multiplied by 2
[tex]\left[\begin{array}{ccc}2l&2m&2n\\2p&2q&2r\\2s&2t&2u\end{array}\right][/tex]
Factor out 2
[tex]2\left[\begin{array}{ccc}l&m&n\\p&q&r\\s&t&u\end{array}\right][/tex]
We know that the determinant of a matrix when multiplied by a scalar is found by
det ( a A) =a^n * det (A)
The scalar in this case is 2 and n is the number of rows ( or columns) since the matrix must be square
det (2A) = 2^3 det(A) = 8A
Answer:
(A)
Step-by-step explanation:
Factor the 2 out and do 2/1=x/A
X=2A
A. 83°
B. 90°
C. 97°
D. cannot be determined
Answer:
90
Step-by-step explanation:
c is perpendicular to b
That means angles 5,6,7,8 are 90 degrees
a is parallel to c
That means b is perpendicular to a
That means that 1,2,3,4 are 90 degrees
<1 = 90 degrees
Answer:
the answer is 90
Step-by-step explanation:
simpliy because c and b make a right angle
Brad runs 4 miles in 18 minutes. at the same rate how long will it take him to run 24 miles
Answer:
108 minutes
Step-by-step explanation:
Take 24 and divide by 4; you get 6;
Multiply 18 by 6; you get 108;
It will take Brade 108 minutes to run 18 miles
Is this relation a function?
Answer:
Hello,
Answer D
Step-by-step explanation:
In a function a value may not have 2 images.
y1=f(x1) and y2=f(x1) ==> y1=y2
pls help !! answer both 1a and 1b pls
Answer:
KM = 50 mm , ∠ K = 104°
Step-by-step explanation:
Note that KM = KL = 50mm ( congruent legs )
This indicates the triangle is isosceles with base angles congruent, both 38°
∠ K = 180° - (38 + 38)° = 180° - 76° = 104°
Answer:
So the answer is 398°
Step-by-step explanation:
hope it helps
2,000
10,000
milligrams
grams
6
7
HELPPPPPPPPP
Answer:
2000 milligrams —> 2 grams
6000 milligrams —> 6 grams
7000 milligrams —> 7 grams
10000 milligrams —> 10 grams
I hope I helped you^_^
Setting y = 0 allows you to determine the what
of a graph
[tex]y=0[/tex] allows you to determine the x-intercept of a graph.
x-intercept and y-intercept:The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.By changing Y to 0 in the equation and figuring out X, you can always determine the X-intercept. Similarly, by putting X to 0 in the equation and solving for Y, you can always determine the Y-intercept.When y is 0, the x-intercept is reached. The graph's intersection with the y-axis, or (0, b), is known as the y-intercept. When x is 0, the y-intercept is reached. When y is 0, the x-intercept is reached.Therefore, [tex]y=0[/tex] allows you to determine the x-intercept of a graph.
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Simplify [2(5 – 4) + 6(7 – 3)] ÷ 2
I'LL MARK BRAINLY PLEASE HELP ME I'M STRUGGLING
Answer:
13
Step-by-step explanation:
[2×1+6×4]÷2
[2+24]÷2
26÷2
13
3/4plus 1/9
In the simplest form
Answer:
0.861
Step-by-step explanation:
Answer:
31/36
Step-by-step explanation:
3/4 + 1/9
= 31/36 --> this is the simplest form, you can't simplify any further.
Helpppppppppppppppppp What does the statement ∣
Answer:
b is 7 units from 0.
Step-by-step explanation:
[tex]|b|[/tex] = 7 means that the absolute value of b is 7. This means that b can be -7 or 7, so it will always be 7 units from 0.
Hope this helps!
10,4,7
The above set 4 numbers have a mean of 8
what could the mystery number
11 is the mystery number
Answer:
The mystery number is 11
Step-by-step explanation:
→ Set up an equation
( 10 + 4 + 7 + x ) ÷ 4 = 8
→ Multiply both sides by 4
21 + x = 32
→ Minus 21 from both sides
x = 11
plse help.....me
[tex]a - 3 + a - 5[/tex]
[tex]a-3+a-5=\\\\=a+a-3-5=\\\\=\boxed{2a-8}[/tex]
Find the volume of the of the shaded area for the solid below.
Answer:
Below
Step-by-step explanation:
First we can find the volume of the box
v = lwh
v = (20)(16)(16)
v = 5120 in^3
Find the volume of the cylinder using this formula
V = πr^2h
V = π(5)^2(20)
V = 1570.79633 (plug this into the final equation, not the rounded one in case it screws up the final value)
V = 1570.8 in^3
Now we can find the volume of the shaded region by subtraction
5120 - 1570.7963= 3549.2037
Rounding to the nearest 10th and you get....
V = 3549.2
Hope this helps!
Robi bought a toy car for $x. He sold it at a loss of 10%. Find the expression
for the selling price.
Step-by-step explanation:
loss amount'= loss% × C.P
=10/100 × x
=0.1 x
Again,
S.P = C.P - Loss amount
=$x - $0.1 x
=0.9 x
The expression for the selling price is:
0.9x
What is selling price and cost price and its formula?
Cost Price: The price paid for an item is referred to as its cost price (C.P.). The price at which an item is purchased is referred to as its selling price (S.P.).
Profit or Gain: The seller is considered to have profit or gain if SP exceeds CP.
Solution:
Given, loss percent is = 10%
cost price of the toy car is = $x
Therefore the loss amount is: loss% × C.P
= 10/100 × cost price
= 0.1x
Now, for the selling price expression:
selling price (SP) = Cost price ₋ Loss amount
= $x ₋ $0.1x
= 0.9x
Hence we get the desired expression for the selling price as 0.9x.
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The height and radius of a cone are each multiplied by 11. What effect does this have on the volume of the cone?
The volume of the cone is multiplied by (Blank 1).
The volume of the new cone would be 1331 times more than the volume of the original cone. Thus, The volume of the original cone is multiplied by 1331
The volume of the cone can be calculated by the given formula:
The volume of cone = [tex]\frac{1}{3} \pi r^{2} h[/tex]
where r = radius of the cone
h = height of the cone
Solution:
The volume of the original cone= .......1
It is given that the height and radius of a cone are multiplied by 11.
then volume
= [tex]\frac{1}{3} \pi (11r)^{2} (11h)[/tex]
= [tex]\frac{1}{3} \pi (121r^{2}) (11h)[/tex] .........2
The change in volume of the cone after multiplying 11 to r and h would be
dividing equation 2 by equation 1
= [tex]\frac{1}{3} \pi (121r^{2}) (11h)[/tex]/[tex]\frac{1}{3} \pi r^{2} h[/tex]
= 121*11
= 1331
Thus, The volume of the original cone is multiplied by 1331
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The ratio of the cost of a shirt to the cost of a jacket is 2:5. If the jacket cost $240 more than the shirt,
find the cost of the shirt and the cost of the jacket.
Given:
The ratio of the cost of a shirt to the cost of a jacket is 2:5.
The jacket cost $240 more than the shirt.
To find:
The cost of the shirt and the cost of the jacket.
Solution:
Let x be the cost of the shirt.
The jacket cost $240 more than the shirt. So, the cost of Jacket is (x+240).
The ratio of the cost of a shirt to the cost of a jacket is 2:5. So,
[tex]\dfrac{x}{x+240}=\dfrac{2}{5}[/tex]
[tex]5x=2(x+240)[/tex]
[tex]5x=2x+480[/tex]
Subtract 2x from both sides.
[tex]5x-2x=480[/tex]
[tex]3x=480[/tex]
Divide both sides by 3.
[tex]x=\dfrac{480}{3}[/tex]
[tex]x=160[/tex]
So, the cost of shirt is $160.
Now, the cost of jacket is:
[tex]160+240=400[/tex]
Therefore, the cost of shirt is $160 and the cost of jacket is $400.
What is the translation from the preimage to the image in the graph?
Answer:
(x, y ) → (x + 7, y + 5 )
Step-by-step explanation:
Consider the coordinates of R and R'
R (- 5, 0 ) and R' (2, 5 )
x- direction : - 5 → 2 is + 7 units
y- direction : 0 → 5 is + 5 units
Translation rule is (x, y ) → (x + 7, y + 5 )
Graph the function
Is it a, b, c or d?
Answer:
D
Step-by-step explanation:
(the line is a / shape, so the slope is positive)
(the line crosses the y axis at (0,-2))
(using the above information, we can conclude that the equation is y=2x-2)
or
slope = m = rise/run = 2/1 = 2
y=mx+b
y=2x+b
Choose any point on the line) (1,0)
0=2(1)+b
b=-2
y=2x-2
solve this questions
Answer:
3 a) solution:-
Discount=Rs 1,200
S .P =RS 4,000
M P=?
we know that,
Discount= M.P - S.P
or, Rs 1,200= M.P - Rs 4,000
or, M.P = RS (4,000-1,200 )
M.P = RS 2,800
In no. 3 all we have to make like this .........
Hope it helps
Answer:
Step-by-step explanation:
2)a) M.P =₹ 5000
S.P = ₹4000
Discount amount = M.P - S.P
= 5000 - 4000
= ₹1000
Discount percent = [tex]\frac{discount \ amount}{M.P}*100[/tex]
[tex]= \frac{1000}{5000}*100\\[/tex]
= 20%
3)a) Discount = ₹ 1200
S.P = ₹ 4000
M.P = S.P + discount
= 4000 + 1200
= ₹ 5200
4)a ) Discount rate = 15%
S.P= ₹ 4000
[tex]M.P = \frac{100+Discount rate}{100}*S.P\\\\=\frac{115}{100}*4000[/tex]
= ₹ 4600
125 + (a-b)³ help me
Answer:
(5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)
Step-by-step explanation:
125 + (a - b)³ ← is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b²)
Then
125 + (a- b)³
= 5³ + (a - b)³
with a = 5 and b = (a - b)
= (5 a a - b)(5² - 5(a - b) + (a - b)² )
= (5 + a - b)(25 - 5a + 5b + a² - 2ab + b²)
= (5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)
