Answers
Answer:
see explanation
Step-by-step explanation:
given
(2x + 5)(2x - 1) ← expand using FOIL
(a)
= 4x² - 2x + 10x - 5 ← collect like terms
= 4x² + 8x - 5
(b)
using the method of completing the square on
4x² + 8x - 5 ← factor out 4 from the 1st 2 terms
= 4(x² + 2x) - 5
to complete the square
add/ subtract ( half the coefficient of the x- term )² to x² + 2x
= 4(x² + 2(1)x + 1 - 1) - 5
= 4(x + 1)² - 4 - 5
= 4(x + 1)² - 9
Related Questions
Will give Brainliest
Beth is working in the concession stand during a football game. Each hot dog sells for $6 and a soda is $4. At the end of the first half, Elizabeth sold 46 items, and made $118. How many hot dogs and sodas did she sell?
Write your answer in a complete sentence.
Use systems of equations to find your answer.
Both equations are correct - 4 points
Math to get answer is all shown and is correct - 4 points
Sentence answer - 2 points
Answers
Answer:
Straightforward: 70 + 48 or 72 + 46
With other ways: below ↓
Make a ratio and increase.
6:4
Find the least common multiples.
72:48
Next, take these 2 out of ratio form and add them together.
72
+48
120
Since the closest we get is 120...
We must change the LCM'S to get the true number. Either way, it will work if you reduce 48 by 2, or 72 by 2. Same answer.
[tex]120-2=118dollars\\72 - 2\\48 - 2[/tex]
Therefore,
Our problem answer can be seen as the original ratio, but modified, 72:48 or simply 70 + 48. For the ratio to be correct, you would have to factorize the least common multiples and re-add. I would not recommend this.
Consider the function. Which conclusions can be drawn about f–1(x)? Select two options. F–1(x) has a slope of. F–1(x) has a restricted domain. F–1(x) has a y-intercept of (0, –36). F–1(x) has an x-intercept of (–36, 0). F–1(x) has a range of all real numbers.
Answers
The required function is [tex]y = -\frac{3}{2} x -36[/tex] having domain and range as R and y-intercept is -36.
Given function
y=f(x) = [tex]-\frac{2}{3} x -24[/tex]
What is an inverse function?An inverse function is a function that returns the original value for which a function has given the output. If f(x) is a function that gives output y, then the inverse function of y, i.e. f-1(y) will return the value x.
In order to get inverse function [tex]f^-1x[/tex] let us arrange the given function
[tex]y+24 = -\frac{2}{3} x[/tex]
[tex]x = -\frac{3}{2} y-36[/tex]
Now, replace x with y and vice versa.
[tex]y = -\frac{3}{2} x -36[/tex]........(1)
or, [tex]f^-1x = -\frac{3}{2} x -36[/tex]
(1) will be the inverse function of the given function.
For x-intercept put y = 0 and for y-intercept put x=0 in eq(1)
x-intercept = -24
y-intercept = -36
The domain and range of f⁻¹x = set of all real numbers since f⁻¹x is a straight line equation, domain, and range of which is set of all real numbers.
Therefore, the required function is [tex]y = -\frac{3}{2} x -36[/tex] having domain and range as R and y-intercept is -36.
To get more about inverse function visit:
https://brainly.com/question/16975845
Answer:
d and e
Step-by-step explanation:
did the test
use rhombus DEFG if GE=42 and DH=16 find GF
Answers
The value of GF in the rhombus is 26.4
Properties of a rhombus:All the sides are equalOpposite angles are equaladjacent angles are supplementaryDiagonals are perpendicular bisector of each otherTherefore,
DH = HF = 16
GH = HE = 21
Using Pythagoras theorem we can find GF as follows:
GF = √21² + 16²GF = √441 + 256
GF = √697
GF = 26.4007575649
GF = 26.4
learn more on rhombus here: https://brainly.com/question/26665674
What is the area of the rectangle 150 yards 200 yards
Answers
Answer:
30,000 square yards
Step-by-step explanation:
Please help if you can. Thanks!
Answers
Answer:
85 Square Units
Step-by-step explanation:
We need to start by finding the area of the triangle:
(base*height)/2
[tex]\frac{17*10}{2} =85[/tex]
Then we find the area of the rectangle:
Height*Width= 170
Then we finally take the area of the rectangle (170) and subtract the area of the triangle (85) and we get the answer of 85.
3. Megan is having a meal with her friends.
She is going to choose one starter, one main and one dessert.
This is the menu.
Starter Main Dessert
Soup
£2.50 Chicken
£6,25 Trifle
£3.50
Prawns
£4.25 Beef
£8.00 Brownie
£4.00
Melon
£3.50 Pork
£7.50 Eton Mess £4.50
Megan has £15
List all the possible combinations that Megan can afford.
Answers
SCT,SCB,SCE,SBT, SBBR, SBE,SPT,SPB,SPE
PCT,PCB,PCE,PBT,PBBR, PBE, PPO,T,PPOB,PPOE
MCT,MCB,MCE,MBT,MBBR,MBE,MPT,MPB,MPE
THIS is in abrieviations.
help!!! meee ASAPPP 18 + brainlest
Answers
Answer:
Angle CFD = 30°
Step-by-step explanation:
HOPE THIS HELP YOU,FOR ANY QUESTION PLEASE ASK ME
Peter can mow his lawn in 6 minutes. Peter's son can mow it in 8 minutes. How long will it take them to do it together?
Answers
Answer:
3 minutes 26 seconds
Step-by-step explanation:
rate x time in Distance problems, and W = rate x time in work problems. The Work is generally 1, the whole job.
For Peter the formula is 1 (lawn mowed) = 1/6 lawn per minute x 6 minutes.
For the son the formula is 1 = 1/8 * 8.
Add their rates together, 1/8 + 1/6 = 3/24 + 4/24 = 7/24.
The equation for their rate working together is 1 = 7/24 * t
Divide both sides by 7/24 to find t. t = 1 / 7/24 = 1 * 24/7 = 24/7 = 3 and 3/7 minutes = approx. 3 minutes 26 seconds.
8 - 8,16,24,32,40,48,56,64,72,80
Answer should be 24 minutes.
When you measure an angle you usually have to choose between two numbers because
protractors are designed to measure angles that start on either the right or left side.
There are two angles to measure in each of the problems on this sheet and the next. The
angle on the left side is angle A. The angle on the right side is angle B. Find and record
the measure of both angles in each problem.
1 The measure of angle A is ___
degrees.
2 The measure of angle B is ___ degrees.
Answers
Answer:
B= 25°
A=138° /139°
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12 car washes for $100 or 5 car washes for $45, state how much you will save per item
Answers
Answer:
$6
Step-by-step explanation:
you will save 6 dollars per item
Solve 5^3x = 1400. Round to the nearest hundredth.
(PLEASE don't delete this. I really need help with this.)
Answers
Answer:
11.20
Step-by-step explanation:
I did this by first doing 5 x 5 x 5 which got me 125. Then I took 1400/125 to get 11.2. However you said round to the nearest hundredth which would be 11.20
Write a function rule for the table.
Answers
PLEASE HELP!! IT'S DUE TONIGHT!
Answers
Answer:
Step-by-step explanation:
All triangles without exception, have 3 angles that add to 180o.
You know two of them. The statement above will help you get the third.
35 + 33 + x = 180 Combine the left
68 + x = 180 Subtract 68 from both sides.
x = 180 - 68
x = 112
Answer: The value of x is 112
Step-by-step explanation:
add the two values given: 35+33= 68
then subtract 68 from 180 (sum of angles is 180°) = 112
112+35+33= 180
Footware manufacturing is projected to decrease output by 8. 4% from 2006 to 2016. If footware manufacturing had 1. 8 billion dollars of output in 2006, approximately how much output is expected in 2016? a. $1. 95 billion b. $2. 64 billion c. $1. 55 billion d. $1. 65 billion Please select the best answer from the choices provided A B C D.
Answers
Solve 37+z≤54. Graph the solution.
Answers
Answer:
z ≤ 17
Step-by-step explanation:
Step 1: Subtract 37 from both sides.
[tex]37 + z - 37\leq 54-37[/tex] [tex]z\leq 17[/tex]What’s the midpoint of a line segment joining the points (5,-4) and(-13,12)?
Answers
Great question! A midpoint is exactly what it sounds like; the point in the middle of two objects (in this case it's the middle of these two coordinates). Another way to think of the middle of something in math is by using the average. To find the midpoint of two points, we just find the average of the x-values and the average of the y-values:
((x1 + x2)/2 , (y1 + y2)/2)
((5 + -13) / 2 , (-4 + 12) / 2)
( -8 / 2 , 8 / 2)
(-4 , 4)
-3.5 divided by 1.25
Answers
Answer:
-2.8
Step-by-step explanation:
[tex] \frac{ - 3.5}{1.25} = - 2.8[/tex]
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The expression above can also be written in the form Val
For this expression, a
and c
Answers
[tex]\\ \rm\Rrightarrow 7^{\frac{9}{4}}[/tex]
[tex]\\ \rm\Rrightarrow 7^{9\times \frac{1}{4}}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt[4]{7^9}[/tex]
Done!
If f(x) = x/2 -3 and g(x) = 4x² + x - 4, find (f+ g)(x).
O A. 4x2 + 5x-1
-X
3
O B. 4x2 + x-1
O c. 6x²_7
O. ?
D. 42 + 3x - 7
Answers
Answer:
correct answer is : D. 42 + 3x - 7
Here is a square of side 2a and an equilateral triangle of side a + 1
The perimeter of the square is greater than the perimeter of the triangle.
Work out the range of possible values of a.
Answers
Answer: a>0.6
Step-by-step explanation:
a box contains 576 marbles of six different colors if there are 254 boxes how many marbles are in all the boxes
Answers
You can get this by multiplying the amount of marbles in 1 box by how many boxes there are
It’s graphs just help
Answers
Answer:
The answer is D
Step-by-step explanation:
There you go!!
substitute this equation
-1x-3y=4
2x=16
Answers
Answer:
x= 8 y= -4
Step-by-step explanation:2x=16 divide 2 on both, x=8, plug in 8 for x, -1x8-3y=4 will become = -8-3y=4 add 8 on both sides and divide by -3 the answer will be -4
Answer:
Step-by-step explanation:-
-1x - 3y = 4 (eqn 1)
2x = 16 (eqn 2)
from eqn 2
2x = 16
x = 16/2
x = 8
Substitute x = 8 into eqn 1
-1(8) - 3y = 4
-8 - 3y = 4
-3y = 4 + 8
-3y = 12
y = 12/-3
y = -4
therefore, x = 8 and y = -4
How much should you invest in a continuously compounded account at an annual interest rate of 6% if you want exactly $8000 after four years? (Round to the nearest cent)
Answers
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$8000\\ P=\textit{original amount deposited}\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &4 \end{cases} \\\\\\ 8000=Pe^{0.06\cdot 4}\implies 8000=Pe^{0.24}\implies \cfrac{8000}{e^{0.24}}=P\implies 6293.02\approx P[/tex]
What is the ratio of the length of DĚ to the length of BC?
Answers
Answer: 1.4
Step-by-step explanation:
The owner expects that you hand wash each coffee pot before the
coffee shop opens. You spend 72 minutes cleaning the coffee pots.
It takes you 4 1⁄2 minutes to clean a coffee pot. How many coffee
pots are there?
Answers
Step-by-step explanation:
it's simply going to be total time divided by the time to was one pot
the product of 982.311 and 2.43
Answers
is the anwser to 982.311 x 2.34
(30pts) I am requesing help on this Algebra Question.
Answers
Answer:
I believe your answer is C
Step-by-step explanation:
Answer: the third one ong
In circle O, CD = 30, OM = 8, ON = 9, CD I OM, ERION (The figure is not drawn to scale.)
POS
D
a. Find the radius. If your answer is not an integer express it in radical form.
b. Find FN. If your answer is not an integer, express it in radical form,
C. Find EF. Express it in radical form
PLEASE HELP!!
Answers
Answer:
Step-by-step explanation:
MC = MD = 1/2CD and EN = FN = 1/2EF
OC = √OM² + MC²
= √64 + 225
= √289
= 17 (a)
FN = √OP² - ON²
= √289 - 64
= √225
= 15 (b)
EF = 2 x FN
= 2 x 15
= 30 (c)
help me figure it out
Answers
The ones that are directly on the line. but i think that’s the answer