Answers
if a^2 - b^2 = 21,
5^2 = 25, 2^2 = 4,
25 - 4 = 21
if a - b = 3,
5 - 2 = 3
5/2 = 2.5
hope this helps! :)
Answer:
a + b = 7
Step-by-step explanation:
a^2 - b^2 = 21
Factor the left side. It is the difference of two squares which factors into the product of a sum and a difference.
(a + b)(a - b) = 21
We are told a - b = 3, so substitute 3 for the factor a - b.
(a + b)(3) = 21
Divide both sides by 3.
a + b = 7
Related Questions
Which of the following is a geometric sequence?
O A. 2, 4, 8, 16, 32
O B. 3, 6, 9, 15, 24
O C. 6, 13, 20, 27, 34
O D. 2,5,7,12, 19
Answers
explanation: multiply 2 x 2= 4 then 4 x 2= 8 then 8 x 2= 16 then 16 x 2= 32 so basically your just multiplying every number by the same exact number which is 2
Cash in hand $79; Bank overdraft $27
Answers
Answer:
Step-by-step explanation:
cash in bank = 79
overdraft = 27
left = 79 - 27
= 52
A plant costs p dollars and a bush costs b dollars. Ana buys 2 plants and 4 bushes for $42. Paola buys 7 plants and 9 bushes for $107. Write down a pair of simultaneous equations and solve them to find out the value of p and the value of b.
Answers
Answer:
2p + 4b = 42
7p + 9b = 107
p = $5
b = $8
Step-by-step explanation:
p is cost of plant, b is cost of bush
2p + 4b = 42
7p + 9b = 107
First we'll solve the first equation for p in terms of b:
2p + 4b = 42
subtract 4b from both sides
2p = -4b + 42
divide both sides by 2
p = -2b + 21
Now substitute that value in for p in the second equation, and solve for a numerical value of b:
7(-2b + 21) + 9b = 107
-14b + 147 + 9b = 107
combine like terms:
-5b = -40
b = 8
Use this to go back and solve for p:
p = -2b + 21
p = -2(8) + 21
p = -16 + 21 = 5
---------------------------
check the math:
2p + 4b = 42
2(5) + 4(8) = 10 + 32 = 42
Determine the values of m and if the straight line y = mx + c passes through the point (3, 5) and has a gradient -4 .
Answers
Answer:
y = -4x + 17
Step-by-step explanation:
y = -4x + b
5 = -4(3) + b
5 = -12 + b
17 = b
Please help me!! I really need it!
Answers
Answer:
X= 7.5 Y=75
Step-by-step explanation:
one month Laura rented 3 movies and 2 video games for a total of 22$. The next month she rented 5 movies and 6 video games for a total of $52. Find the rental cost for each movie and each video game.
Answers
Step-by-step explanation:
24$
Factor completely 25x^4y^6 − 1
Answers
Answer:
(5x2y3+1)(5x2y3−1)
Step-by-step explanation:
In this case, since this equation has both sides as a perfect square, you can apply the difference of squares formula a^2 - b^2 = (a+b) (a-b)
Applying this formula and factoring it accordingly leaves us off with (5x2y3+1)(5x2y3−1).
[tex]\sqrt \frac{256}{4\\}[/tex]
Answers
Answer:
8
Step-by-step explanation:
[tex]\sqrt{\frac{256}{4} }[/tex]
[tex]\sqrt{\frac{16*16}{2*2} }[/tex]
[tex]\sqrt{(\frac{16}{2})^2 }[/tex]
square and root gets cancel . so ,
[tex]\frac{16}{2}[/tex]
8
Edgar owns 234 shares of Cawh Consolidated Bank, which he bought for $21.38 apiece. Each share pays a yearly dividend of $3.15. Edgar also owns two par value $1,000 bonds from Cawh Consolidated Bank. The bonds had a market value of 105.166 when he bought them, and pay 8.3% interest yearly. Which aspect of Edgar’s investment in Cawh Consolidated Bank offers a greater percent yield, and how much greater is it? a. The stocks have a yield 6.43 percentage points greater than that of the bonds. b. The stocks have a yield 6.84 percentage points greater than that of the bonds. c. The bonds have a yield 1.05 percentage points greater than that of the stocks. d. The bonds have a yield 9.13 percentage points higher than that of the stocks.
Answers
Answer: B. The stocks have a yield 6.84 percentage points greater than that of the bonds.
Step-by-step explanation:
Firstly, the yield for stocks will be calculated as:
= return/ investment cost
= $3.15/$ 21.38
= 0.14733395
= 14.73%
The yield for bonds will be calculated as:
= Return/Investment cost
Return = 1,000 x 8.3% = 83
Investment cost = 1,000 x 105.166/100 = 1051.66
Yield = 83/1051.66
= 0.07892284
= 7.89%
Then, the difference between the yield will be:
= 14.73% - 7.89%
= 6.84%
Therefore, the stocks have a yield 6.84 percentage points greater than that of the bonds.
Answer:
b.The stocks have a yield 6.84 percentage points greater than that of the bonds. Step-by-step explanation: got it right on edge 2022!
PlzzPlease help me bunnies <3
No monkey business plz. Or I will report
Defined the explicit section for the sqeucrce in the table
Thank you
Answers
Answer:
B. Linear decreasing
Step-by-step explanation:
Answer:
Linear decreasing;
Straight line = linear
Slope downwards (from left to right) = decreasing function
I am stuck on this question.
Answers
Answer:
D. Yes; the graph passes the vertical line test.
Step-by-step explanation:
1. A and C are wrong since the number of x-values that a y-value have does not matter when it comes to functions.
2. When doing the vertical line test, it is done by drawing a vertical line (up to down) and then seeing if more than 1 point touches the line.
3. After drawing the vertical line you would see only 1 point touches the line which indicates that the graph passes the vertical line test.
4. Therefore, the answer is "D. Yes; the graph passes the vertical line test."
help mi plzz.........
Answers
We know that , tan(x+y)=(tanx + tany)/(1 - (tanx)(tany))
tan(2A+A)=(tan2A+tanA)/(1 - (tan2A)(tanA))— (1)
We know that , tan2x=2tanx/(1 - tan^2x)
So, by substituting tan2A in (1),we get,
=[2tanA/(1 - tan^2A) + tanA]/1- (2tanA/(1 - tan^2A))(tanA)]
=[2tanA+tanA - tan^3A]/[1 - tan^2A - 2tan^2A]
=[3tanA - tan^3A]/[1-3tan^2A]
Therefore, tan3A= [3tanA - tan^3A]/[1-3tan^2A]
can someone please help for brainlest
Answers
2. What are the zeros of the function
f(x)=2x2 - 2x - 4?
Answers
Answer:
-1 or 2
Step-by-step explanation:
2x2-2x-4
x2-x-2
x2+x-2x-2
x(x+1)-2(x+1)
(x+1)(x-2)
x=-1 or 2
Una empresa quiere confecionar 7²⁰ chompas. Si el 1er día confeccionada los 3/10 del total. El 2do dia los 2/9 del total, ¿cuantas chompas le falta confeccionar? Con cada paso porfavor :(
Answers
Answer:
A la empresa le faltan confeccionar 344 chompas.
Step-by-step explanation:
Dado que una empresa quiere confeccionar 720 chompas, si el 1er día confeccionaron los 3/10 del total y el 2do día los 2/9 del total, para determinar cuántas chompas le falta confeccionar se debe realizar el siguiente cálculo:
Día 1:
720 x 3/10 = X
720 x 0.3 = X
216 = X
Día 2:
720 x 2/9 = X
720 x 0.22222 = X
160 = X
720 - 216 - 160 = X
344 = X
Por lo tanto, a la empresa le faltan confeccionar 344 chompas.
(m ^ 2 * n ^ 3)/(n ^ - 2)
Answers
Answer:
m²n⁵
Step-by-step explanation:
m²n³ / n-²
The exponent changes sign when "flipped" from division to multiplication
m²n³ * n²
m²n⁵
What is the solution to the system of equations ?
Y=2/3 x + 3
X= - 2
Answers
Answer:
x = -2, y = 5/3
Step-by-step explanation:
we have the value of x already (-2).
x=-2
Plug it into the first equation y = 2/3x+3
y = 2/3(-2)+3
y = -4/3+3
y = -4/3+9/3
y = 5/3
x = -2, y = 5/3
If the equation y=-5x+12 is translated up five units, what would the new equation be?
Answers
Answer:
y=-5x+17
Step-by-step explanation:
Answer:
[see below]
Step-by-step explanation:
We would add '5' to the y-intercept (12) to make a translation up 5 units.
y = -5x + 12 + 5
y = -5x + 17
Hope this helps.
x+y=80
5x+8y=535
what is x and what is y
Answers
Answer:
x+y=80 i.e. 5x+5y=400 multiplying both sides by 5
now 5x+8y=535
therefore 3y=535-400=135
therefore y=135/3=45
now x=80-y=80-45=35
therefore final answer x is 35 y is 45
Answer:
x=35, y=45
Step-by-step explanation:
x+y=80=>5x+5y=400 so (5x+8y)-(5x+5y)=535-400
<=>3y=135<=>y=45=>x=80-y=80-45=35
Use the following situation to answer the questions that follow: A ball is thrown up in the air, and it's height (in feet) as a function of time (in seconds) can be written as h(t) = -16t2 + 32t + 6.
When is the ball at it's maximum height? Round to the nearest hundredth if needed.
Answers
Answer:
22 feet
Step-by-step explanation:
When graphing the equation, the peak or the maximum of the equation is reached the 1st second of the throw and it reaches 22 feet.
If x + x = 9, then x =
Answers
Answer: x = 4.5
Step-by-step explanation: First, do x + x, since they are like terms. That equals 2x. The equation is now 2x = 9. Divide both sides by 2. x = 4.5.
x + x = 9
2x = 9
÷2 ÷2
---------------------
x = 4.5
x + x = 9
4.5 + 4.5 = 9
If Arnold charges $522.00 for a 4 personal training sessions (of an hour each)
a) What is his hourly rate?
b) How much would he charge for a 3 hour session?
Answers
Answer:
Hourly rate = 130.50
3-hour session = 391.50
Step-by-step explanation:
Part 1
Step 1: Divide the given figures
522.00/4 = 130.50
Step 2: Multiply the result to the number being looked for
130.50 * 1 = 130.50
So, Arnold’s hourly rate is 130.50
Part 2
Step 1: Multiply the answer found in part one to 3
130.50 * 3 = 391.50
Therefore, Arnold’s would charge $391.50 in a 3-hour session
what is the value of the expression (-2 1/2 -7) -6 1/2
Answers
Answer:
-2
Step-by-step explanation:
If you need the work let me know but that should be correct! Good luck :)
There is 1 box of plain yogurt with 18 yogurt cups. There are 4 boxes of fruit yogurt each with c yogurt cups. Represent this situation with a picture or diagram.
Answers
(The number or letter written inside is the number of cups)
15.
Which of the quadratic functions has the widest graph?
A. 0.3x2
B. -4x2
C. -4/5x2
D. 1/3x2
Answers
Answer:
A. 0.3x2
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
0
)
Focus:
(
0
,
0.8
¯
3
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
0.8
¯
3
x
y
−
2
1.2
−
1
0.3
0
0
1
0.3
2
1.2
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
0
)
Focus:
(
0
,
−
1
16
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
1
16
x
y
−
2
−
16
−
1
−
4
0
0
1
−
4
2
−
16
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
0
)
Focus:
(
0
,
−
5
16
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
5
16
x
y
−
2
−
16
5
−
1
−
4
5
0
0
1
−
4
5
2
−
16
5
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
0
)
Focus:
(
0
,
3
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
3
4
x
y
−
2
4
3
−
1
1
3
0
0
1
1
3
3
3
What is an equation of the line that passes through the points (-5,6) and (7,6)?
Answers
please find Area of triangle
Answers
Answer:
60
Step-by-step explanation:
Side A would end up being 15 and then to find the area you would use your formula 1/2 × base × height.
SOMEONE ONE PLEASE HELP
Answers
Answer:
ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Step-by-step explanation:
please help thank you
Answers
I don’t know it is really hard to learn
Answer:
50 ft²
Step-by-step explanation:
ΔABC ≅ ADC; therefore the area of ΔADC is 25 sq feet also
2(25) = 50 sq feet
What are the roots of the equation 9x^2-42x+50=0 in simplest a+bi form?
Answers
Answer:
-7/3 +\- 1/3i
Step-by-step explanation: