Answer:
7a²b²(a - 2b)
Step-by-step explanation:
Given
7a³b² - 14a²b³ ← factor out 7a²b² from each term
= 7a²b²(a - 2b)
The population of Greater Accra increased by 20% and became 900,7000. The original population of the city was:
Answer:
the original population of the city is 7,505,833
Step-by-step explanation:
Given;
new of the population of the city, Y = 9,007,000
the percentage increase of the city, = 20% = 0.2
Let the original population of the city = X
New population, Y = X + 0.2X
Y = X(1 + 0.2)
Y = X(1.2)
Y = 1.2X
X = Y/1.2
X = (9,007,000) / 1.2
X = 7,505,833
Therefore the original population of the city is 7,505,833
On a coordinate plane, a parabola opens up. Solid circles appear on the parabola at (negative 4, 14), (negative 3, 9.5), (negative 2, 6), (0, 2), (1, 1.5), (2, 2), (4, 6), (5, 9.5), (6, 14).
Which is the rate of change for the interval between 2 and 6 on the x-axis?
Answer:
Step-by-step explanation:
The rate of change for the interval between x = 2 and x = 6 is simply asking you for the slope of the line that connects these 2 coordinates. If you were in calculus, you could find the instantaneous slope at any point on this parabola, but you're not quite that lucky yet, so we will go about it the only way we can:
by finding the slope. Remember, that slope is the same thing as rate of change.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] and filling in:
[tex]m=\frac{14-2}{6-2}=\frac{12}{4}=3[/tex]
Aaron, Blaine, and Cruz are solving the equation 4 7 (7 − n) = −1. Aaron started his solution by multiplying both sides of the equation by 7 4 . Blaine started by using the distributive property to multiply 4 7 by both 7 and −n. Cruz started by dividing both sides of the equation by 4 7 .
Answer:
D. All three chose a valid first step toward solving the equation.
Step-by-step explanation:
Aaron, Blaine, and Cruz are solving the equation 4/7 (7 − n) = −1. Aaron started his solution by multiplying both sides of the equation by 7/4 . Blaine started by using the distributive property to multiply 4/7 by both 7 and −n. Cruz started by dividing both sides of the equation by 4/7 .
Which of the following is true?
A. Blaine and Cruz made an error in picking their first steps.
B. Cruz made an error in picking his first step.
C. All three made an error because the right side equals -1.
D. All three chose a valid first step toward solving the equation.
Given:
4/7(7 - n) = -1
Aaron:
4/7(7 - n) = -1
Multiple both sides by 7/4
4/7(7 - n) * 7/4 = -1 * 7/4
7 - n = -7/4
- n = -7/4 - 7
- n = (-7-28)/4
- n = -35/4
n = 35/4
Blaine:
4/7(7 - n) = -1
4/7(7 - n) × 7 = -1 × 7
4(7 - n) = -7
28 - 4n = -7
-4n = -7 - 28
- 4n = - 35
n = -35/-4
n = 35/4
Cruz:
4/7(7 - n) = -1
Divide both sides by 4/7
4/7(7 - n) ÷ 4/7 = -1 ÷ 4/7
4/7(7 - n) × 7/4 = -1 × 7/4
7 - n = -7/4
- n = (-7-28)/4
- n = -35/4
n = 35/4
D. All three chose a valid first step toward solving the equation.
Answer:
D-All three chose a valid first step toward solving the equation.
Step-by-step explanation:
Hope I Helped
make a the subject of the relation p=2(a+b)
Answer:
a = (p - 2b)/2Step-by-step explanation:
Solve for a:
p = 2(a + b)p = 2a + 2b2a = p - 2ba = (p - 2b)/2PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
(-5,2)
Step-by-step explanation:
Answer:
(5 , 2)
Step-by-step explanation:
F(-5 , 2)
After reflection F'(5 , 2)
The rule for reflection over y-axis is
Original point(x , y) : After reflection: (-x,y)
x-coordinate will change its sign and y-coordinate remains same
What is the solution of ?
Answer:
The answer to your question would be x=12. Equation is worked out below
Step-by-step explanation:
5 /2 x−7= 3 /4 x+14
5 /2 x-3/4x − 7 = 3 /4 x-3/4x +14
7/ 4 x−7=14
7 /4 x−7+7=14+7
7/ 4 x=21
do the opposite of 7/4x (division)
7/4 / 7/4x = 21 / 7/4
4/7 / 7/4x (cross each other out) = 21 / 4/7
x=12
Answer:
[tex] \frac{5}{2}x - 7 = \frac{3}{4} x + 14 \\ \frac{5}{2} x - \frac{3}{4} x = 14 + 7 \\ \frac{7}{4} x = 21 \\ x = \frac{21 \times 4}{7} \\ x = 12[/tex]
I hope I helped you^_^
Find the length of the arc. Use 3.14 for the value of . Round your answer to the nearest tenth. Enter your answer and also show your work to demonstrate how you determined your
answer.
Answer:
ARC= 15.7
ARC= 2(3.14)10(90/36)
Step-by-step explanation:
what would the equation, slope, and point be for this graph?
Answer:
slope is Δy/Δx =
-5/1 = -5
the B intercept is 4
y = -5x + 4
Step-by-step explanation:
Which term of the AP. 8 , -4 , -16 , -28 ,......... is -880 ?
Answer: 75th term
Step-by-step explanation:
If you look at the first terms, you can see that we're subtracting 12 from the previous term to get the number. Knowing this, we can write an expression for the nth term. The expression would be -12n + 20. Since this specific term has value of -880, we set -880 equal to the value of -12n+20. By setting your equation like this -12n + 20 = -880 and solving, you get n = 75, which means the 75th term has a value of -880.
As gamers progress through a video game, they earn a higher rank. In an online gaming network, gamers can see what fraction of the way they
are to the next rank. The line plot displays the fraction of the way to the next rank for all the gamers in the network. What fraction of gamers
have bof the way to go to the next rank?
Gamers Progress to Next Rank
Number
of
Gamers
Fraction of Progress to Next Level
A
A.
c.)
Question isn't well formatted, a picture if the question is attached below.
Answer:
1 / 4
Step-by-step explanation:
From the plot, each dot represent a gamer ; therefore, the total number of gamers will be counting all the dots ;
Total number of gamers = 24
Fraction of gamers that have 7 / 8 of the way to go ;
This means that they have 7/8 of the way left to proceed to next level ;
The fraction is : 1 - 7/8 = 1 /8
This means the number of of people whose progress are on 1/8 ; this is 6
Hence, fraction of gamers that have 7/8 of the way to go :
6 / 24 = 1 / 4
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1.-4,-1,1,6
2.by substituting the values given, we get
32-|15+8|
32-|23|
32-23=9
3.-15+7=8
4..27-(-12)=27+12=39
5.-6.05+(-2.1)
-6.05-2.1=-8.15
6.-3/4-(-2/5)
-3/4+2/5
=-7/20
7.-9(-12)
=108
8.(3.8)(-4.1)
-15.58
9.(-8x)(-2y)+(-3y)(z)
(16xy)+(-3zy)
(16xy)-(3zy)
10.by substituting the value given,we get
2.5*(-3.2)+5
-8+5
-3
so here are the answers,mark as brainliest if u find it useful
thank you
Angles A and B are complementary. The measure of angle A
is yº. What is the measure of angle B?
Answer:
D, [tex](90-y)[/tex] degrees
Step-by-step explanation:
Complementary angles are angles that add up to 90 degrees. Since angle A and angle B are complementary, they add up to 90. Since the value of angle A is y degrees, we can substitute y into the equation to get
[tex]y+B=90[/tex]
To get the measure of angle B, we must isolate B.
To isolate B, we have to remove every term from its side.
The only term on the side that B is on other than B is y. To remove y from the left side, we must subtract y from both sides. Doing this will result in the equation:
[tex]B=90-y[/tex]
The only answer option that meets this criteria is D.
PLS HELP ASAP
What are the possible rational zeros of f(x) = x4 + 2x3 − 3x2 − 4x − 12?
the average American student is in class 330 minutes a day how many hours is this
Let assume hours be x.
1 hour = 60 minutes
x hour = 330 minutes
[tex] \bf \large \rightarrow \: \: \frac{1}{60} \: \times \: \frac{x}{330} \: \: \: \small\rm({\red{ Cross \: \: Multiplying }}) \\ [/tex]
[tex]\bf \large \rightarrow \: \: 60x \: = \: 330[/tex]
[tex]\bf \large \rightarrow \: \: x \: = \: \cancel \frac{330}{60} \: = \: 5.5 \\ [/tex]
Total hours in a day is 5.5
The average American student is in class 5.5 hours a day.
What is Measurement unit?A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
We have to given that;
The average American student is in class 330 minutes a day.
We know that;
⇒ 1 hours = 60 minutes
⇒ 1 minute = 1/60 hours
Hence, We can change the unit as;
⇒ 330 minutes = 330 / 60 hours
= 5.5 hours
Thus, It is equal to 5.5 hours.
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4
Select the correct answer.
Simplify the expression. What classification describes the resulting polynomial?
(8x2 + 3x) – (12x2 - 1)
OA.
quadratic binomial
OB. quadratic trinomial
O C.
linear monomial
OD.
linear binomial
Reset
Reset
Next
Answer:
quadratic trinomial
Step-by-step explanation:
(8x^2 + 3x) – (12x^2 - 1)
Distribute the minus sign
8x^2+3x-12x^2+1
Combine like terms
-4x^2+3x+1
This is a quadratic since the highest power of x is 2
This is a trinomial since there are 3 terms
Moly completes 3/10 of her science project in 4/5 hour
Answer:
1.5 per hour
Step-by-step explanation:
9. Find the zero of the polynomial in each of the following
i)f(x) = 3x- 5
Answer:
[tex]f(x) = 3x - 5[/tex]
For a zero, f(x) = 0:
[tex]{ \tt{0 = 3x - 5}} \\ { \tt{x = \frac{5}{3} }}[/tex]
Four friends equally divided a whole pizza for lunch. Binli ate 1 of his 3
share and took the rest of his share home. What fraction of the whole pizza did he eat for lunch?
Please help! Will give brainiest!!!
Answer:
He ate 1/12 of the pizza
Step-by-step explanation:
Divide the pizza by 4 to get the share each friend got
1/4
Then Binli ate 1/3 of his share
1/4 * 1/3 = 1/12
He ate 1/12 of the pizza
ASAP HELP PLS NO WRONG ANSWERS------------
Answer:
d=2
Step-by-step explanation:
We are given equation:
sqrt(4y-3)=d-y
Squaring both sides gives:
4y-3=(d-y)^2
Applying the identity (x+y)^2=x^2+2xy+y^2 on right:
4y-3=d^2-2dy+y^2
Now let's y=7:
4(7)-3=d^2-2d(7)+(7)^2
Simplify:
25=d^2-14d+49
Subtract 25 on both sides:
0=d^2-14d+24
Factor left:
0=(d-12)(d-2) since -2+-12=-14 and -2(-12)=24
This gives d=12 or d=2.
The d that makes d-y or I mean d-7 negative will give us y=7 as extraneous
Since 2-7 is -5, then d=2 is what we are looking for.
Check:
sqrt(4y-3)=d-y
Set d=2: sqrt(4y-3)=2-y
Now solve for y:
Square both sides: 4y-3=4-4y+y^2
Subtract 4y and 3 on both sides: 0=7-8y+y^2
Reorder right side: 0=y^2-8y+7
Factor: 0=(y-7)(y-1) since -7+-1=-8 and -7(-1)=7
This gives y=7 or y=1.
Plugging in y=7 for a check to this equation gives:
sqrt(4×7-3)=2-7
Sqrt(25)=-5
5=-5 which is not true which is what we wanted
7) 5(r + 2) = 8 + 57
Step-by-step explanation:
5r + 10 = 65
5r =65 - 10
r = 55/5
r = 11
Answer:
r=11
Step-by-step explanation:
you first have to work with the brackets and then group the like terms
5(r+2)=8+57
5r+10=65
5r/5=65-10
5r/5=55/5
r=11
I hope this helps
Help plz Algebra 1
Simplify numbers 10 and 13 <3
Answer:
10t+2
Step-by-step explanation:
2-5t+8+5t-8
10t+2
A pair of parallel lines is cut by a transversal: 15 degrees and 80 degrees are the lines What is the measure of angle x?
60 degrees
65 degrees
70 degrees
80 degrees
Step-by-step explanation:
=80°-15°=65°please mark this answer as brainlist
Graph the line that passes through (5, 5), and is perpendicular to a line whose slope is –2.
Answer:
y = 1/2x + 5/2
Step-by-step explanation:
y = 1/2x + b
5 = 1/2(5) + b
5 = 5/2 + b
5/2 = b
Find the volume of the prism.
Answer:
11,968
Step-by-step explanation:
I'm not sure, but I think its 11,968
The area of a square of side X is 8. What's the area of a square of side 3x
Answer:
Step-by-step explanation:
We know, for square
[tex](side)^2=(Area)\\=>X^2=8\\[/tex]
∴[tex]X=2\sqrt{2}[/tex] unit
[tex]Now, Side=3X[/tex]
[tex]Then,Area=(3X)^2=(3*2\sqrt{2} )^2=(6\sqrt{2} )^2=72 sq. unit[/tex]
hope you have understood this...
pls mark my answer as the brainliest
The area of square of side 3X is 72 square unit.
What is square?The square is a 4 sided figure, each side of the square is equal and make a right angle.
The area of square having sided a unit can be given by a² square unit.
Given that,
Area of square having side X is 8.
Since, formula for area of square having side X is X².
Implies that,
X² = 8
X = 2√2
The area of square having side 3X
side =3 × 2√2
side = 6√2
The area of square = (6√2)²
= 36 x 2
= 72
The area of square is 72 square unit.
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Please answer this!!!
Answer:
12/13
Step-by-step explanation:
we know this is a right triangle, and we know that the hypotenuse is the longest side. so we can already say that the hypotenuse of the triangle is DF or 78.
when you draw it out, you find that the shortest leg is 30 and the second is 72 and the hypotenuse is 78. we also know that cosine is adjacent/hypotenuse. once you draw the triangle and notice which side is adjacent to angle F, just fit it into the formula and you get:
cos F = 72/78
cos F = 12/13
Answer: Choice C. [tex]\frac{12}{13}[/tex]
Step-by-step explanation:
It helps to draw a right triangle with hypotenuse DF=78, and adjacent EF=72.Plug in cosine adjacent over hypotenuse and simplify.2. Write down the supplementary angle of each of the following angles are 105 degree.
Answer:
75
Step-by-step explanation:
Answer:
75°Step-by-step explanation:
Supplementary angles add up to 180°.
The angle x, supplementary with 105°:
x + 105° = 180°x = 180° - 105°x = 75°If the point (b,15) lies on the straight line with equation Y=5x fonde the value of b ?
Answer:
b = 3
Step-by-step explanation:
Substitute the y- coordinate 15 into the equation , that is
15 = 5x ( divide both sides by 5 )
3 = x
This is the x- coordinate of the point , so b = 3
Cos 600 degrees solved by double angle formula (20 points)
show work please :)))
Answer:
[tex] \rm\cos({600}^{ \circ} ) =-1/2 [/tex]
Step-by-step explanation:
we would like to solve the following using double-angle formula:
[tex] \displaystyle \cos( {600}^{ \circ} ) [/tex]
there're 4 double Angle formulas of cos function which are given by:
[tex] \displaystyle \cos(2 \theta) = \begin{cases} i)\cos^{2} ( \theta) - { \sin}^{2}( \theta) \\ii) 2 { \cos}^{2}( \theta) - 1 \\iii) 1 - { \sin}^{2} \theta \\ iv)\dfrac{1 - { \tan}^{2} \theta}{1 + { \tan}^{2} \theta } \end{cases}[/tex]
since the question doesn't allude which one we need to utilize utilize so I would like to apply the second one, therefore
step-1: assign variables
to do so rewrite the given function:
[tex] \displaystyle \cos( {2(300)}^{ \circ} ) [/tex]
so,
[tex] \theta = {300}^{ \circ} [/tex]Step-2: substitute:
[tex] \rm\cos(2 \cdot {300}^{ \circ} ) = 2 \cos ^{2} {300}^{ \circ} - 1[/tex]
recall unit circle thus cos300 is ½:
[tex] \rm\cos(2 \cdot {300}^{ \circ} ) = 2 \left( \dfrac{1}{2} \right)^2 - 1[/tex]
simplify square:
[tex] \rm\cos(2 \cdot {300}^{ \circ} ) = 2\cdot \dfrac{1}{4} - 1[/tex]
reduce fraction:
[tex] \rm\cos(2 \cdot {300}^{ \circ} ) = \dfrac{1}{2} - 1[/tex]
simplify substraction and hence,
[tex] \rm\cos({600}^{ \circ} ) = \boxed{-\frac{1}{2}}[/tex]
Work out the value of 10^2 - 4^3
Give your answer as a power of 6.
Answer:
6^2 = 36
Step-by-step explanation:
10^2 = 10 * 10 = 100
4^3 = 4 * 4 * 4 = 64
10^2 - 4^3= 100 - 64 = 36 = 6^2
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]6^2[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the answer...}}\\\\10^2 - 4^3\\---------------\\\rightarrow 10^2 = 100\\\\\rightarrow 4^3 = 64\\\\\rightarrow 100 - 64 = \boxed{36}\\\\\text{Since we know that '36' is a perfect square, we can rewrite our answer as: } \boxed{6^2}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.