Answer:
[tex]5b^2(x-0.2)(x+3)[/tex]
Step-by-step explanation:
The first thing that I noticed was that all of the terms had a common factor of [tex]b^2[/tex]. You can therefore factor that out first:
[tex]5x^2b^2 + 14xb^2 -3b^2= \\\\b^2(5x^2+14x-3)[/tex]
Now, you have a quadratic equation inside the parentheses. Factoring, you find that the roots are -0.2 and 3, meaning that you can further factor this expression to be:
[tex]5b^2(x-0.2)(x+3)[/tex]
Hope this helps!
A customer deposits $500 in an account that pays 4% annual interest. What is the balance after 3 years if the interest is
compounded annually?
Compound interest formula: V(t) =P(1+r/n)^nt
t = years since initial deposit
n= number of times compounded per year
r= annual interest rate (as a decimal)
P= initial (principa) investment
V(t) = value of investment after t years
Answer:
The value of the investment V(t) after t years is $562.43
Step-by-step explanation:
Here, we are interested in calculating the balance V(t) after 3 years given the information in the question.
We are to use the given formula.
From the question;
V(t) = ?
P= $500
t = 3 years
r = 4% = 4/100 = 0.04
n = 1
Substituting these values into the formula, we have ;
V(t) = 500( 1 + 0.04/1)^(3)
V(t) = 500(1.04)^3
V(t) = 562.432
describe fully the single transformation that maps triangle a onto triangle b
Answer:
Reflection about y=2
Step-by-step explanation:
Triangle A should be reflected about y=2 to map it onto Triangle B.
Answer:
reflection across y=2
Step-by-step explanation:
To number the apartments in a building, metal plates with digits were used: one digit on each plate. How many plates were used to number 136 apartments in the building?
Answer:
301 plates
Step-by-step explanation:
For numbers between 0 and 9, 1 plate was used each.
This means that 10 plates were used.
For numbers between 10 and 99, 2 plates were used for each.
This means that the number of plates used will be:
2 * 90 = 180 plates
For numbers between 100 and 136, 3 plates were used for each.
This means that the number of plates used is:
3 * 37 = 111 plates
The total number of plates used is therefore:
10 + 180 + 111 = 301 plates
301 plates were used in total.
The equation __ describes the relationship
Answer:
y= 1/3x
Step-by-step explanation:
points on the graph
(0,0), (3,1)
function as per above two points:
y= 1/3x
Why would a railway be important to either side in the civil war?
Answer:
Either side would have been improved by a railway so they could get more ammo in and get food in and also get the sick and wonded out to get medical attention
Step-by-step explanation:
Point V lies between points U and W on Line segment U W.
A line has points U, V, W. The length between U V is 2 x minus 4. The length between V W is 4 x + 10.
If UW = 9x – 9, what is UW in units?
5 units
6 units
30 units
36 units
Answer:
The correct answer is (d) 36 units.
Step-by-step explanation:
Just took the test on edge :)
The measure of UW is 36 units
The measure of angles between segmentsFrom the question, a line has points U, V, W. If Point V lies between points U and W on Line segment U W, then;
UV + VW = UW
Given the following
VW = 4 x + 10.
UW = 9x – 9
UV = 2x - 4
Substitute
2x - 4 + 4x + 10 = 9x - 9
6x + 6 = 9x - 9
-3x = -15
x = 5
UW = 9x - 9
UW = 45 - 9
UW = 36 units
Hence the measure of UW is 36 units
Learn more on angles here: https://brainly.com/question/25770607
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
-3x + 3y = 9
2x – 7y = -14
Answer:
x= -7/5 y=8/5
Step-by-step explanation:
1. choose a variable to eliminate (i chose 6)
2. multiply the first equation by 2 and the second equation by 3
3. now you have
-6x+6y=18
6x-21y=-42
and the x's can now cancel out when you add the equations together
4. after adding the equations, you get
-15y=-24
5. solve for y (y= 8/5)
6. now plug in 8/5 for the y in one of the original equations to solve for x. (i chose the first one)
7. -3x+3(8/5)=9
-3x+24/5=9
-3x=21/5
x= -7/5
Need help ASAP!! Thank youu!
Answer:
The answer is 7.
Step-by-step explanation:
If you want to find what FE is, you have subtract GF from GE (GE - GF = FE).
Since GE = 13 and GF = 6, you have to subtract 6 from 13 which equals 7.
(13 - 6 = 7)
Can you pls help i really NEED IT
WANT BRAINIEST
Answer:
V =13/150 yd^3
Step-by-step explanation:
The volume of a rectangular prism is given by
V = l*w*h
V = 1/2*( 13/15)* 1/5
V =13/150 yd^3
Answer:
13\150 yd³
Step-by-step explanation:
V=height×weight×legth
1\2×13\15×1\5=13\150 yd³
whats the answer to 5^-2
Hey!!
Solution,
(5)^-2
=1/5^2
=1/25
The answer is 1/25
hope it helps
Good luck on your assignment
1. Uma escada possui comprimento igual a 30m. Sabe-se que ela se encontra encostada em um muro, formando com este um ângulo de 60º. Podemos afirmar que a altura da escada, em m. é igual am:
Answer:
The height of the ladder is 15 meters.
Step-by-step explanation:
To find the height of the ladder, we just need to use the cosine relation of the 60 degrees angle.
The adjacent side to the angle is the height of the ladder, and the hypotenuse of the triangle created is the length of the ladder. So, we have that:
cos(60) = height / length
0.5 = height / 30
height = 30 * 0.5 = 15 meters
The height of the ladder is 15 meters.
This chart shows the growth of a maple tree. If the tree's height increases in this same pattern, what will be the height of the tree, in inches, after 8 months?
Months
Height of Tree
1
10 inches
2
13 inches
3
16 inches
4
19 inches
Answer:
31 inches
Step-by-step explanation:
you can get this answer by 2 ways. one is using number patterns.
find the difference between each of the heights.
13-10=3
16-13=3
19-16=3
therefore the common difference is 3
now create a number pattern.
first term + common difference× (n-1)= nth term
a+(n-1)d
let's check this with the 2nd month
10+ 3× (2-1)
10+3=13
in second month 13 inches
so this pattern works
let's find the height in 8th month
10+ 3(8-1)
10+ 21=31 inches
height in 8th month is 31 inches.
you can find this by just adding too. but forming an equation is always good and safe
damian rides his bike 38 miles each week for 15 weeks how many total miles did he ride in 15 weeks
Answer:
570 miles
Step-by-step explanation:
If Damian rides 38 each week and we want to know how much it was for 15 weeks, then we just multiply the two to get 570 miles in a 15 week period.
Answer:570
Step-by-step explanation:
38 times 15= 570
What segment is a reflection of segment ab over the line x=1
Answer:
The correct answer is: (Line segment E F)
Which expression has a value of 15 when n=7 ?
19-28/n
n=7
19-28/7
19-4
=15
Answer:
d for the lazy people like me :D PROPS TO THE PERSON ON TOP OF ME
Step-by-step explanation:
AABC is isosceles.
mZA = 3x + 40 and mZC = x + 50 mZA = [ ? ]°
Answer:
Using the information from the problem, the measurement of ∠A is 55°
Step-by-step explanation:
We are given that ΔABC is isosceles. If a triangle is isosceles, then it means that two angles are going to be congruent to each other which are called the base angles. In the problem above, ∠A and ∠C are the base angles so that means that their measurements are going to be equal to each other.
We can use this information in order to solve the problem and find the measurement of ∠A. By doing so, we will set up both expressions and equal them to each other.
m∠A = 3x + 40
m∠C = x + 50
3x + 40 = x + 50
Subtract x on both sides of the equation.
2x + 40 = 50
Subtract 40 from both sides of the equation.
2x = 10
Divide 2 on both sides of the equation.
x = 5
So now that we have our x-value, we will plug this into both angles just to check our work. If they have the same measurement, then we have our answer for the measurement of ∠A.
x = 5
m∠A = 3(5) + 40
m∠A = 15 + 40
m∠A = 55
m∠C = (5) + 50
m∠C = 55
So, the two angles have the same measurements to each other which means they are congruent. Now, we have our answer.
The measurement of ∠A is 55°
Alegbra 4 questions giving brainlist!
Answer:
1) 4
2) 1
3) -7
4) 13
Step-by-step explanation:
Instructions:
a) Subtract or add the slope from each side
( it doesn't matter which one you pick )
b) Subtract or add the # next to the slope from each side
( it doesn't matter which one you pick )
c) Divide Each number by the slope
d You have you answer
____________________________________________
1) 9x - 35 = - 7x + 29
+7x + 7x
_____________________
16x - 35 = 29
+ 35 +35
_____________________
16x = 64
_____________________
16 16
x = 4
2). - 2x - 2 = 9x - 13
+2x +2x
_____________________
- 2 = 11x - 13
+ 13 + 13
_____________________
11 = 11x
_____________________
11 11
1 = x
3). 3x + 29 = - 5x - 27
+5x + 5x
_____________________
8x + 29 = - 27
-29 -29
_____________________
8x = -56
_____________________
8 8
x = -7
4). x - 11 = 3x - 37
- x - x
______________________
-11 = 2x - 37
+37 +37
______________________
26 = 2x
_______________________
2 2
13 = x
Hope this helps! (:
Simplify the following expression (x-8y)-(2x-4y)
Answer:
-x - 12y
Step-by-step explanation:
(x-8y)-(2x-4y)=
x-8y-2x-4y=
x-2x-8y-4y=
-x - 12y
Answer: -x - 4y
Step-by-step explanation:
(x-8y)-(2x-4y)
x-8y-2x+4y
-x-4y
what is the solution to 5/6x-1/3>1 1/3
Answer:
Step-by-step explanation:
[tex]\frac{5}{6}x-1>1\frac{1}{3}\\\\\frac{5}{6}x-1>\frac{4}{3}\\\\\frac{5}{6}x>\frac{4}{3}+1\\\\\frac{5}{6}x>\frac{4}{3}+\frac{3}{3}\\\\\frac{5}{6}x>\frac{7}{3}\\\\x>\frac{7}{3}*\frac{6}{5}\\\\x>\frac{7*2}{5}\\x>\frac{14}{5}\\\\x>2\frac{4}{5}[/tex]
Here is a map of a town.
The map shows a centimetre ruler.
5 km is represented by 1 cm.
Find the real-life distance between the ice rink and the museum.
Answer:
10km
Step-by-step explanation:
2x5=10km
Please answer correctly !!!! Will mark brainliest !!!!!!!!!
Answer:
[tex]=\left(x-4\right)^2[/tex]
Step-by-step explanation:
[tex]x^2-8x+16\\\mathrm{Rewrite\:}x^2-8x+16\mathrm{\:as\:}x^2-2x\cdot \:4+4^2\\x^2-8x+16\\\mathrm{Rewrite\:}16\mathrm{\:as\:}4^2\\=x^2-8x+4^2\\\mathrm{Rewrite\:}8x\mathrm{\:as\:}2x\cdot \:4\\=x^2-2x\cdot \:4+4^2\\\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a-b\right)^2=a^2-2ab+b^2\\a=x,\:b=4\\=\left(x-4\right)^2[/tex]
Answer:
0
Step-by-step explanation:
Since it is asking you to factor out the quadratic, you need to make it equal zero first. -4 times -4 is both 16 and -8. So that means (x-4)^2
2. A hemispherical water tank with a volume of 2094 m will have a radius of which
length?
?
a. 5 m
b. 25 m
c. 2.5 m
d. 10 m
Pleaseee help meee struggling currently
Answer: 2908.92435 inches.
Step-by-step explanation for shape 1: A = 2(wl + hl + hw) = 2 · (30 · 13 + 13 · 13 + 13 · 30) = 1,898 inches.
Step-by-step explanation for shape 2:
Using the formulas:
A=2AB+(a+b+c)h
AB=s(s﹣a)(s﹣b)(s﹣c)
s=a+b+c
2
Solving for A:
A=ah+bh+ch+1
2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=9·30+13·30+9·30+1
2·﹣94+2·(9·13)2+2·(9·9)2﹣134+2·(13·9)2﹣94≈1010.92435
Step-by-step explanation for total volume: 2908.92435 inches.
Answer: 6825 in^3
Step-by-step explanation:
First divided the whole shape into two shapes.
The first shape will be a rectangular prism and the second shape will be a triangular prism.
The rectangular prism will have a length of 13, a width of 30 and the height of 13.
Now find the volume of the rectangular prism by multiplying the length by the width then by the height.
V= 13 * 30 * 13
V = 5070
This means the volume of the rectangular prism is 5070 cubic inches.
Now will will need to find the volume of the triangular prism.
The triangular prism has a triangle at the base, with a base of 9 and a height of 13. If you multiply the the area of the base by the whole height of the triangular prism which is 30 then you will get the volume.
Find the area of the base.
The area is base time height times 1/2.
A = 9 * 13 * 1/2
A = 58.5
Now multiply the area by 30.
58.5 * 30 = 1775
Finally, add both volumes to find the full volume of the figure.
5070 + 1775 = 6825
A box of 120 crayons contains variations of three colors: blue, red, and purple. The ratio of blue crayons to red crayons is 11:2, and the ratio of the number of red crayons to purple crayons is 2:7. If all of the purple crayons were removed, how many crayons would be left in the box?
Answer: there would be 106,am not sure
Step-by-step explanation:
21) Natalie kicked a soccer ball. The equation ℎ=−162+50 describes the height of the ball t seconds after it was kicked. Approximately how many seconds went by before the ball hit the ground?
To find the time until the ball hits the ground, you need to solve the quadratic as the height equals zero.
0 = -16t^2+50t
This gives us a classing quadratic that you can factor or use the quadratic formula to solve.
x = 0, x = 25/8
If you graph this, think of y = 0 as the ground, so when the parabola intersects the x-axis on the right that represents how much time would have passed.
Hope this helps you out! Good luck with your homework! Stay safe and stay healthy.
You need to solve a system of equations. You decide to use the elimination
method. Which of these is not allowed?
3x-2y = 7 Equation 1
3x+4y= 17 Equation 2
A. Subtract equation 2 from equation 1.
B. Subtract the left side of equation 2 from the left side of equation
1.
C. Multiply equation 1 by 2. Then add the new equation to equation
2.
Answer:
Step-by-step explanation:
Both B and C would be using e
Option (B) Subtracting the left side of equation 2 from the left side of equation 1 would be the correct choice.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have two linear equations or systems of equations:
3x-2y = 7 Equation 1
3x+4y= 17 Equation 2
As we know, in the elimination method:
We try to eliminate the variables at a time by making a similar coefficient of the x or y.
In option (B) Subtract the left side of equation 2 from the left side of equation 1.
It is not allowed to perform because first, we have to make the coefficient of y similar.
Thus, option (B) Subtracting the left side of equation 2 from the left side of equation 1 would be the correct choice.
Learn more about the linear equation here:
brainly.com/question/11897796
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can someone do my ixl its 6th grade math!! only 3 and you have to get 85 and higher i will give 25 points!! and mark as brainlist
Answer:
Okkk I will answer
Answer:
what question do you have?
Step-by-step explanation:
find the coordinates of D' after a Glide reflection of the triangle: translation 1 unit up and 5 units left and reflection across y= 3. Write your answer in (a,b). Part 2a
Answer:
D' = (-2, 1)
Step-by-step explanation:
Translating the point D one unit up and five units left moves it to (-2, 5)
Reflecting it across y=3 moves it from (-2, 5), to (-2, 1)
Answer:
D = (-2, 1)
This answer is 100% right hope it helps
will mark brainliest!! factor the following equation: f(x)=3x²+7x+2
Answer:
(x + 2) (3x + 1)
Step-by-step explanation:
3x² + 7x + 2
3x² + 6x + x + 2
3x(x + 2) + 1(x + 2)
(x + 2) (3x + 1)
Find the value of x.
A. 9
B. 6√3
C. 6
D. 3√6
E. 3
Answer:
i
Step-by-step explanation:
