9514 1404 393
Answer:
(4x -5)(16x² +20x +25)
Step-by-step explanation:
The factoring of the difference of cubes has a standard form:
a³ -b³ = (a -b)(a² +ab +b²)
Here, your knowledge of the cubes of small integers tells you that ...
64 = 4³
125 = 5³
So, in the above, we have ...
a = 4x, b = 5
and the factored form is ...
(4x -5)(16x² +20x +25)
Help me with this it is hard
Answer:
the third choice is the correct one because if you 3 ÷ 8 = 0.375. 0.375 × 100 = 37.5%
$1000, 2%, 9 months what is the simple interest
Answer:
principal =1000
time=9
rate=2%
or simple interest = p×t×r/100
= 1000×9×2
=Rs.18000
Answer:
$180
Step-by-step explanation:
Turn 2% to 0.02 then make the formula
1,000*0.02*9=180
Consider the equation and its solution. 8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. X = 10. Which property is used in the last step to find that x = 10? Distributive property addition property of equality subtraction property of equality division property of equality
Answer:
Division property of equality
Step-by-step explanation:
Consider the equation and its solution. 8 (x minus 2) = 64.
8 x minus 16 = 64.
8 x = 80.
x = 10.
Which property is used in the last step to find that x = 10
The property used in the last step to find that x = 10 is called the DIVISION PROPERTY OF EQUALITY
The Division property of equality states that , when two sides of a quadratic equation are divide by the same integer that is greater than zero, both sides will be equal to one another
Let c be the integer greater than zero
ac = bc
Divide both sides by c
a = b
From the above question
8 x = 80
This is also written as:
8x = 8 × 10
Division property of equality
Divide both sides by 8
Hence,
x = 10
Answer:
division property of equality
Step-by-step explanation:
since the equation before our answer was a multiplication equation, you must counteract that with the division property of equality.
(a)
Stephen and Karen are getting the floor redone in their house. Company A charges $215 and $0.50 per square foot to install carpet. Company B charges $100 and $0.75 per square foot to install carpet.
Determine which company would be a better choice if Stephen and Karen were having 400 square feet of carpet installed. Justify your answer using
math
Answer:
Company B
Step-by-step explanation:
Given. That :
Company A:
Initial charge = $215
Charge per square foot = 0.50
Company B:
Initial charge = $100
Charge per square foot = 0.75
Which company if installing 400 square feet of carpet :
Company A:
Total bill:
$215 + 0.50(400) =$415
Company B:
Total bill:
$100 + 0.75(400) = $400
Hence, Company B will be a better option as the total cost is cheaper than company As cost.
what is value of x , 1x + 2x = 30
Answer:
x = 10
Step-by-step explanation:
1x + 2x = 30
3x = 30
x = 10
Based on a graph below which sequence of transformation is needed to carry ABCD onto its image A’B’C’D?
Given:
The vertices of ABCD are A(2,3), B(5,6), C(8,6) and D(8,3).
The vertices of A'B'C'D' are A'(-2,6), B'(-5,3), C'(-8,3) and D'(-8,6).
To find:
The sequence of transformation is needed to carry ABCD onto its image A’B’C’D.
Solution:
The vertices of ABCD are A(2,3), B(5,6), C(8,6) and D(8,3).
If figure ABCD translated by the rule, [tex](x,y)\to (x,y-9)[/tex], then
[tex]A(2,3)\to A_1(2,-6)[/tex]
[tex]B(5,6)\to B_1(5,-3)[/tex]
[tex]C(8,6)\to C_1(8,-3)[/tex]
[tex]D(8,3)\to D_1(8,-6)[/tex]
Then the figure rotated 180 degrees clockwise about the origin. So,
[tex](x,y)\to (-x,-y)[/tex]
[tex]A_1(2,-6)\to A'(-2,6)[/tex]
[tex]B_1(5,-3)\to B'(-5,3)[/tex]
[tex]C_1(8,-3)\to C'(-8,3)[/tex]
[tex]D_1(8,-6)\to D'(-8,6)[/tex]
So, the required sequence of transformation that is needed to carry ABCD onto its image A’B’C’D is " A translation by the rule [tex](x,y)\to (x,y-9)[/tex] and then a 180° clockwise rotation about the origin".
Therefore, the correct option is D.
5x - 2y= 26 y + 4 = x
Plzzz help I got 10 minutes
The Value of x and y are (x,y) = (7,3).
What is Algebraic expression ?
Algebraic expressions are numbers expressed using letters or alphabets without specifying their values. Algebra taught us how to express unknown values using letters such as x, y, and z. There can also be a single value that is placed before and multiplied by a variable in an algebraic expression in addition to these letters, which are called variables.
GIven equations are :
5x - 2y= 26.....(1)
y + 4 = x..........(2)
Solve by substitution :
substitute equation 2 in equation 1 and solve for y
5x - 2y= 26
5(y+4) - 2y = 26
5y + 20 -3y = 26
2y = 26 - 20
2y = 6
y = 3
now, the value of x will be :
x = y + 4
x = 3+4
x = 7
Therefore, The Value of x and y are (x,y) = (7,3).
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
Line AB is 14 inches long. What is the approximate area of the circle?
615.44 inches
21.98 inches
153.86 inches
43.96 inches
Answer:
The third one is closest
Step-by-step explanation:
half of the diameter=the radius 14/2 = 7 and the formula for the area of a circle is r^2π so 49 × π is 153.93804
Eric walks 7 km East in 2 hours and then 2.5 km West in 1 hour.
___ km/hr is the average speed and ___ km/hr is the average velocity for the whole journey that Eric takes.
Answer:
Average speed = 3.17 km/h and Average velocity = 1.5 km/h
Step-by-step explanation:
It is given that,
Eric walks 7 km East in 2 hours and then 2.5 km West in 1 hour.
Average speed = distance/time
Distance = 7km + 2.5 km = 9.5 km
Time = 2 h + 1 h = 3 h
Average speed,
[tex]s=\dfrac{9.5\ km}{3\ h}\\\\s=3.17\ km/h[/tex]
Average velocity = displacement/time
Displacement = 7 km +(-2.5 km) = 4.5 km
Average velocity,
[tex]v=\dfrac{4.5\ km}{3\ h}\\\\v=1.5\ km/h[/tex]
So, 3.17 km/h is the average speed and 1.5 km/h is the average velocity for the whole journey that Eric takes.
4. Suppose the the function f(x) = 5x + 7
represents the cost to play x rounds of
golf at the local mini-golf attraction. If you
have $20, how much more money do
you need to play 3 rounds of golf?
A. $22
C. $2
B. $15
D. $5
Answer:
c
Step-by-step explanation:
c
PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEe
Answer:
-140 = x
Step-by-step explanation:
Answer:
-140 =x
Step-by-step explanation:
Polygons ABCD and A′B′C′D′ are shown on the coordinate grid: A coordinate plane is shown with two polygons represented. Polygon ABCD has vertices A at 2 comma 2, B at 2 comma 4, C at 3 comma 5 and D at 3 comma 1. Polygon A prime B prime C prime D prime has vertices A at negative 1 comma negative 2, B at negative 1 comma negative 4, C at negative 2 comma negative 5, and D at negative 2 comma negative 1. What set of transformations is performed on ABCD to form A′B′C′D′? (4 points) a A translation 1 unit to the left followed by a 180-degree counterclockwise rotation about the origin b A translation 1 unit to the right followed by a 180-degree counterclockwise rotation about the origin c A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right d A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left
Answer:
Answer is A. I get it right. :3
Answer:
a
Step-by-step explanation:
what is the average rate of change
y - 3 = -12 (x + 4)
Answer:
[tex] - 12x[/tex]
Step-by-step explanation:
[tex]y - 3 = - 12(x + 4) \\ y - 3 = - 12x - 48 \\ y = - 12x - 45[/tex]
Thr answer is the slope.
Answer:
[tex]-\frac{3}{10}[/tex]
Step-by-step explanation:
The average rate of change of a function f ( x ) over the interval [ a , b ] is
[tex]=\frac{f(b)-f(a)}{b-a}[/tex]
[tex]f(x)=\frac{3}{x-2}[/tex]
and [tex][a,b]=[4,7][/tex]
[tex]f(b)=f(7)=\frac{3}{7-2}=\frac{3}{5}[/tex]
[tex]f(b)=f(4)=\frac{3}{4-2}=\frac{3}{2}[/tex]
The rate of change is
[tex]=\frac{f(b)-f(a)}{b-a}[/tex]
[tex]=\frac{\frac{3}{3} -\frac{3}{2} }{7-4}[/tex]
[tex]=-\frac{9}{10} *\frac{1}{3} =-\frac{3}{10}[/tex]
someone help with this ASAP I HAVE FEW MINS !!!
Answer:
Symmetric
Step-by-step explanation:
What is the slope of the line?
I NEED HELPP?!
Answer:
Slope of a line = rise/run
Your answer:
m = 8/5
Mrs adeolu spent 1/4 of her monthly income at a shopping mall 1/3 at a open market and 2/5 of the remaining amount at a mechanic workshop. if she had 225,000 naira left .
find her monthly income
find the amount spent at the open market
Answer: it's c
Step-by-step explanation:
The total cost after tax to repair Deborah's computer is represented by 0.09(60h)+60h, where h represents the number of hours it takes to repair Deborah's computer. What part of the expression represents the amount of tax Deborah has to pay? Explain.
Answer:
0.09(60h)
Step-by-step explanation:
The part that represents the tax is 0.09.
This is because, we can rewrite the sum as;
Amount of tax + Total cost for the number of hours
Now, the amount of tax can only be a percentage of the total
We can write 0.09 as 9/100
This can be interpreted as 9% of the total amount
So therefore we can rewrite the amount as;
9% of 60h + 60h
So the part that represents the amount of tax Deborah has to pay is 0.09(60h)
A line passes through the point (-2, 7) and has a slope of -5.
What is the value of a if the point (a,2) is also on the line?
Answer:
-1
So the answer would be (-1, 2)
Hopefully, this is correct, sorry if not.
12) Which name we can give to these triangle
Answer:
The first one is isosceles and the second one is scalene.
This is because the first triangle has two equal sides, therefore it is isosceles and the second one has no equal sides so it is scalene.
Answer:
obtuse triangle and scalene triangle (sana nakatulog sayo)
2÷5 × -4 what Is the answer please?
Answer:
-1 3/5
Step-by-step explanation:
2÷5 × -4
Work from left to right
2/5 * -4
-8/5
-1 3/5
Barnes and noble needs to ship 14 mystery books, 12 science-fiction books, and 8 historical-fiction books. The store can only pack one genre of book in each box, and they must pack the same number of books in each box. What is the greatest number of books Barnes and Noble can pack in each box?
Answer: 2
Step-by-step explanation:
Given: 14 mystery books, 12 science-fiction books, and 8 historical-fiction books needs to b shipped.
If they want to pack one genre of book in each box such that they pack same number of books in each box.
Then, the greatest number of books Barnes and Noble can pack in each box
= GCD(14,12,8)
Since, 14 = 2 x 7
12 = 2 x 2 x 3
8 = 2 x 2 x 2
GCD(14,12,8)=2
Hence, the greatest number of books Barnes and Noble can pack in each box = 2
Each baseball hat costs the same amount of money. The cost for 18 baseball hats was $216. What is the unit price?
Answer:
15%
Step-by-step explanation:
if u did the 216 divided by the 18 then that's how u get estimated number
Help!
A volcano on a discovered planet rises to a height of 19.529 mi.
Use the table of facts to find the height of the volcano in feet.
Round your answer to the nearest tenth.
Answer:
103, 110 ft
Step-by-step explanation:
Linda makes necklaces to sell to her friends. She can make
27 necklaces in 3 hours. How many necklaces can she
make in 5 hours?
Answer:
mark brainlest45
Step-by-step explanation:
in one hour she can make 9 ( 27 divided by 3)
so in 5 hours 45 bc 5x9 is 45
Which student rounded properly?
Answer:
c is the answer
Step-by-step explanation:
help pls ?? anyone ?? :(
7. yes
8. yes
9. no
10. no
The sum of triple a number d and 5
(it’s translating expressions)
Answer:
3d+5
Step-by-step explanation:
Marcia has a monthly income of $3,500. She budgets 8% for her cell phone. What amount does she budget for her cell phone, in dollars and cents?
Answer:
[tex]280 \: dollars[/tex]
Step-by-step explanation:
[tex]3500 \times .08 = 280[/tex]
Simple as that ^^^ Just find 8% of 3500
280,00$
8% of 3500$ equals to
(8/100)*3500=
280,00$=
John is trying to solve for y, but he made a mistake. Where did John mess up? What did he do wrong? Step 1: 2 - 3(y- 1) = 6 Step 2: -1(y- 1) = 6 Step 3: -y+1= 6 Step 4: -y = 5 Step 5: y = -5 Step 2; he combined the 2 and -3 before he distributed O Step 3; he did not distribute the -1 correctly Step 2; he did not combine the 2 & -3 correctly. Step 4; he should have added the 1 to 6, not subtracted it Step 3; he should have added 1 to both sides.
Answer:
Step 4!!!
Step-by-step explanation:
Y=9x+2x please help, i don't know how to
do this stuff
Answer: I hope you understand, just mutiply whatever x is by 11 to get Y
Step-by-step explanation:
x = unknown number
9x+2x= 11x
Y=11x