Answer:
(8x + 3)²
Step-by-step explanation:
Since our polynomial is 64x² + 48x + 9, we multiply 64x² by 9 to get 64x² × 9 = 576x² since we cannot simplify the expression any further.
Next, we need to find the factors of 576x² that add up to give 48x, these are 24x and 24x.
So the expression is re-written as
64x² + 48x + 9 = 64x² + 24x + 24x + 9
Writing out all the common factors, we have,
64x² + 48x + 9 = 8x × 8x + 3 × 8x + 3 × 8x + 3 × 3
Factorizing we have
64x² + 48x + 9 = 8x(8x + 3) + 3(8x + 3)
64x² + 48x + 9 = (8x + 3)(8x + 3)
64x² + 48x + 9 = (8x + 3)²
grade 6 math any one willing to answer ONE question??? pls answer due in 30 minutes 10 points and brainliest
Answer:
2 and 5 is the gcf and lcm is 360
Step-by-step explanation:
Answer:
GCF is 120 and LCM is 1440
Step-by-step explanation:
-To find the GCF, take a look at the orange section(the intersection) and multiply all the numbers in there. 2^3x3x5=120
-To find the LCM, multiply all the numbers in the entire venn diagram. 2^5x3^2x5=1440
Expand and Simplify
10a-(3a+7)
Heidi solved the equation
3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below:
3x + 12 + 2 = 2 + 5x – 20
3x + 14 = 5x – 18
14 = 2x – 18
32 = 2x
16 = x
Answer:
The answer is correct
Step-by-step explanation:
3(x + 4) + 2 = 2 + 5(x – 4)
3x + 12 + 2 = 2 + 5x - 20
3x + 14 = 5x - 18
-2x = -32
x = 16
What is the height of the cylinder?
Answer:
h = 7 inches
Step-by-step explanation:
Caroline earns $49000 a year, and her friend Jennifer earns $51000 a year but doesn't belong to a health fund. The tax rule this year is $40000 and above pay $5000 plus 40 cents in the dollar in tax on anything over $40000 per annum and $50000 and above pay $ 9000 plus 30 cents in the dollar in tax on anything over $ 50,000per annum, plus 2% of her income if he is not in a health fund.
Answer:
Caroline has to pay $8600 taxes
Jennifer has to pay $10320 taxes
Step-by-step explanation:
I guess the question is who has to pay how much taxes, right ?
Caroline earns $49000, and I guess, she belongs to a health fund.
she has to pay $5000 for the first $40000.
and for the remaining $9000 she has to pay $0.40 per dollar.
that means 9000×0.4 = $3600
and no penalties for no health fund.
so altogether $5000 + $3600 = $8600 taxes
Jennifer earns $51000 and did not belong to a health fund.
she has to pay $9000 for the first $50000.
and for the remaining $1000 she had to pay $0.30 part dollar.
that means 1000×0.3 = $300
and 2% of the total income because no health fund
51000×0.02 = $1020
so, altogether $9000+$300+$1020 = $10320 taxes
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest
form.
60°
22
Answer:
A. x = 11√3
B. y = 11
Step-by-step explanation:
A. Determination of the value of x.
Angle θ = 60°
Hypothenus = 22
Opposite = x =?
We can obtain the value of x by using sine ratio as illustrated below:
Sine θ = Opposite / Hypothenus
Sine 60 = x / 22
√3/2 = x / 22
Cross multiply
2 * x = 22√3
Divide both side by 2
x = (22√3) / 2
x = 11√3
B. Determination of the value of y.
Angle θ = 60°
Hypothenus = 22
Adjacent = y =?
We can obtain the value of y by using cosine ratio as illustrated below:
Cos θ = Adjacent / Hypothenus
Cos 60 = y / 22
½ = y / 22
Cross multiply
y = ½ × 22
y = 11
What is the solution to this system of equations?
2x+y = 6
- - x - y = 2
0
0
(1, -1)
(0,8)
infinitely many solutions
no solution
Answer:
Step-by-step explanation:
{ 2/3 x+y=6
+
{ -2/3x-y=2
= 0=6
Hence,no solution.
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART
PLEASE GIVE EXPLANATION
Answer:
Ellipse
[tex]✔ \: \: : { \sf{ {x}^{2} + {y}^{2} = 1 }}[/tex]
Step-by-step explanation:
[tex]{ \sf{circle : \: {x}^{2} + {y}^{2} + 2gx + 2fy + c = 0}} \\ { \sf{parabola : \: {y}^{2} = 4ax }} \\ { \sf{hyperbola : \: {x}^{2} - {y}^{2} = 1 }}[/tex]
PLZZZZ HELPPPP… IF NOT 100% SURE PLZZ DONT ANSWER! BRAINLIEST TO FIRST AND CORRECT ANSWER!
Answer:
7/10
Step-by-step explanation:
½ of a cup of cheddar=½ x 1=½
⅕ of a cup of parmesan=⅕ x 1=⅕
all cheese used=½ + ⅕= 7/10
Jane spent 3 hours exploring a mountain with a dirt bike. First, she rode 48 miles uphill. After she reached the peak she rode for 15 miles along the summit. While going uphill, she went 5 mph slower than when she was on the summit. What was her rate along the summit?
Answer: [tex]25\ mph[/tex]
Step-by-step explanation:
Given
Jane took 3 hours
First she rode 48 miles with let say with [tex]x[/tex] mph
then she rode 15 miles with speed [tex](x+5)[/tex] mph
Equate the time in each ride and equate it to total time
[tex]\Rightarrow 3=\dfrac{48}{x}+\dfrac{15}{x+5}\\\\\Rightarrow 3x(x+5)=48(x+5)+15x\\\\\Rightarrow 3x^2+15x=48x+48\times 5+15x\\\\\Rightarrow 3x^2-48x-240=0\\\\\Rightarrow (x-20)(x+4)=0\\\\\text{Neglecting the negative value as speed cannot be negative}\\\\\Rightarrow x=20\ mph[/tex]
So, her along the summit is [tex]x+5=25\ mph[/tex]
Find the missing measure if a and b are the legs of the right triangle and c is the hypotenuse, with a = 11 and c =18.
Answer:
[tex]\sqrt{203}[/tex]
Step-by-step explanation:
1. [tex]11^{2} + b^{2} = 18^{2}[/tex]
2. [tex]b^{2} =203[/tex]
3. b = [tex]\sqrt{203}[/tex]
Can't be simplified.
Answer 16
Step-by-step explanation:
Which function is shown in the graph below? Please hurry I’m being timed!!!
please help with this on the images
Answer:
52%
7 more
Step-by-step explanation:
There are 5*5 = 25 boxes in the grid
13 are shaded
13/25 = 13/25 *4/4 = 52/100 = 52% are shaded
We want 80% shaded
80/100
Divide top and bottom by 4
20/25
We need 20 shaded and have 13 shaded
20-13 = 7
We need to shaded 7 more
Finish the following table for the given function with x as the independent variable
Answer:
hi?
Step-by-step explanation:
What is the area of this polygon
Answer:
51
Step-by-step explanation:
1. Approach
One is given the polygon, (ABCDE); the problem asks one to find the area of this polygon. The most logical step to take is to divide this polygon into easier parts, find the area of each part, and then add up the area to find the total area of the figure.
One way to divide this figure up is to draw the line (AC). This will create the triangle (ABC) and rectangle (ACDE).
2. Find the area of (ABC)
The formula to find the area of a triangle is the following:
[tex]A=\frac{b*h}{2}[/tex]
Where (b) is the base of the triangle, and (h) is the height. The base of the triangle (ABC) is (AC), which has a measure of (6) units. The height of the triangle is the distance from the base of the triangle to the vertex opposite the base. This measurement is (3) units. Substitute these values into the formula and solve for the area:
[tex]A=\frac{b*h}{2}[/tex]
Substitute,
[tex]A=\frac{6*3}{2}\\\\A=\frac{18}{2}\\\\A=9[/tex]
3. Find the area of (ACDE)
The formula to find the area of a rectangle is as follows:
[tex]A=b*h[/tex]
The base of the rectangle is the segment (AE), with a measure of (7) units. The height of the rectangle is the segment (AC) with a measurement of (6) units. Substitute these values into the formula and solve for the area:
[tex]A=7*6\\\\A=42[/tex]
4. Find the area of the total figure
To find the area of the total figure, add up the area of the triangle, and the area of the rectangle:
[tex]9+42= 51[/tex]
Help me pleaseeeeeeeee
The length of a rectangle is 3 times the width. The perimeter of the rectangle is 64 cm. Show the equation that would be used to find the dimensions of the rectangle.
Answer:
64 = 2(3x + x)
Step-by-step explanation:
Perimeter of the rectangle = 64 cm
Width of the rectangle = x
Length of the rectangle = 3x
Perimeter of a rectangle = 2(length + width)
The equation is
64 = 2(3x + x)
64 = 6x + 2x
64 = 8x
x = 64/8
x = 8 cm
Width of the rectangle = x = 8 cm
Length of the rectangle = 3x
= 3(8 cm)
= 24 cm
need help with a p e x !!!
i think B is the right answer
Question 3
1 pts
Students from Mr. Caldwell's Spanish class are saving money for a summer
trip to Barcelona, Spain. Each student needs to raise $1,080 to be able to
attend the trip. This amount represents an increase of 12.5% over the cost of
the trip last year. How much did the trip to Barcelona cost last year?
O $850
$960
$1,215
$1,030
Answer:
$960
Step-by-step explanation:
Let the original amount be = x
Percentage increase is equal to = 12.5%
final amount = original amount + increase
final amount = x + 0.125x
final amount = 1.125x
final amount = 1080 = 1.125x
and then solve for x
[tex]x = \frac{1080}{1.125} \\ \\ x = 960[/tex]
so in the end x is equal to $960
Solve the equation: 1080 = 1.25x
The price of an item changed from $175 to $150. Later, the price decreased to $125. Which of the two decreases was larger in percentage and how much is it?
Answer:
The second decrease is larger at 16 1/6% decrease
Step-by-step explanation:
175 to 150
Take the original price minus the new price divided by the original price
(175 -150) /175 =25/175 = 1/7 =.142857143 = 14.28 % decrease
150 to 125
Take the original price minus the new price divided by the original price
( 150-125)/150 = 25/150 = 1/6 =.16666 = 16 1/6 % decrease
The second decrease is larger at 16 1/6% decrease
im doing a exam please help me fast
Seven guests are arriving for dinner. How many possible orders can they arrive in?
5,040!
7!
5!
49!
Answer:
7!
Hope it is helpful
please anyone help no wrong asnwers plss ------
simplify.
[(1+5)⋅2−5]⋅2
Answer:
14
Step-by-step explanation:
[(1+5)⋅2−5]⋅2
[(6)⋅2−5]⋅2
[12−5]⋅2
[7]⋅2
14
Step-by-step explanation:
[6.2-5].2
[12-5].2
7.2
14 answer
In a function, y varies inversely with x. The consistent of variation is 4. Which table could represent the function?
Answer:
none of the tables shown
Step-by-step explanation:
Inverse variation is
xy = k where k is the constant
xy = 4
in the top table
-2*2 = -4 so it cannot be the first table
In the middle table
-2 * -8 = 16 so it is not the middle table
In the bottom table
-2 *4 = -8 so it is not the bottom table
There must be a table not shown
HELPASAP
A circle with an arc length of ____ centimeters is intercepted by a central angle of 3pi/4 radians has a radius of ____ centimeters.
1st Blank Options: 12pi, 4pi, 2pi
2nd Blank Options: 3, 16, 24
Answer:
add an attachm3nt to make iy clear
If F is conservative, find all potential functions f for F so that F = ∇f. (If F is not conservative, enter NOT CONSERVATIVE. Use C as an arbitrary constant.)
Answer: some parts of your question is missing below is the missing data
Determine if the given vector field F is conservative or not. F = −6e^y, (−6x + 3z + 9)e^y, 3e^y
answer:
F is conservative
F = -6xe^y + ( 33 + 9 ) e^y + C
Step-by-step explanation:
The Potential functions for F so that F = ∇f.
F = -6xe^y + ( 33 + 9 ) e^y + C
attached below is a detailed solution
Which expression is equivalent to 3(m - 3) + 4?
3m + 1
O
3m-
5
O
3m + 13
O 3m - 3
Answer:
3m -5
Step-by-step explanation:
3(m - 3) + 4
Distribute
3m -9 +4
Combine like terms
3m -5
Answer:
3m - 5
Step-by-step explanation:
3(m - 3) + 4
3m - 9 + 4
3m - 5
A cylindrical roller is 4m long. Its diameter is 1.4m. How many metres does it travel in 500 revolution?
Step-by-step explanation:
the answer is in the image above
Can someone help me with these two
Answer:
10. D. 1 / 216
11. B. - ( 8^0 )
Step-by-step explanation:
10.
6^5 x 6^-8
= 6^( 5 - 8 )
= 6^-3
= 1 / 6^3
= 1 / 216
11.
- ( 8^0 )
= - 1
- 1 < 0
why e=mc2?why not e=mc3?
Step-by-step explanation:
E = mc^2
E is Energy
M is Mass
C is Speed of light
This is Albert Einstein's General theory of relativity.
According to The principle of homogeneity,
E = mc^2 is dimensionally correct.