Simplify the following expression.
(4x2 + 8x + 15) + (x2 - x - 27) - (x + 5)(x - 7)
What’s the answer?
Answers
Answer:
4x^2+19x-47
Step-by-step explanation:
(4x^2+8x+15)+(x^2-x-27)-(x-5)(x-7)
=(4x^2+8x+15)+(x^2-x-27)-x^2+7x+5x-35
=(4x^2+x^2-x^2) + (8x-x+7x+5x) + (15-27-35)
= 4x^2+19x-47
Hope this helps!
The given expression after simplifying 4x^2+19x-47.
We have given the following expression
[tex](4x^2+8x+15)+(x^2-x-27)-(x-5)(x-7)[/tex]
What is the expression?An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
[tex]=(4x^2+8x+15)+(x^2-x-27)-x^2+7x+5x-35[/tex]
[tex]=(4x^2+x^2-x^2) + (8x-x+7x+5x) + (15-27-35)[/tex]
[tex]= 4x^2+19x-47[/tex]
The given expression after simplifying 4x^2+19x-47.
To learn more about the expression visit:
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Related Questions
The monthly cost of running a small business consists of retail space rental at $2400, wages at $1800 and utilities at $480. If the retail space rental and wages are decreased by 5% and 6% respectively, while utilities are increased by 7%, find the percentage increase or decrease in the monthly cost of running the business.
Answers
Answer:
5.8%
Step-by-step explanation:
For the business,
retail space rental = $2400
wages = $1800
utilities = $480
Total running cost = $4680
But,
retail space rental decreased by 5%, so that;
5% of $2400 = 0.05 x $2400 = $125
The new retail space rental = $2400 - $125
= $2275
wages decreased by 6%, so that;
6% of $1800 = 0.06 x $1800 = $108
The new wages = $1800 - $108
= $1620
Utilities increased by 7%, so that;
7% of $480 = 0.07 x $480 = $33.6
The new amount on utilities = $480 + $33.6
= $513.6
New total running cost = $2275 + $1620 + $513.6
= $4408.6
The percentage decrease in the monthly cost = [tex]\frac{(4680 - 4408.6)}{4680}[/tex] x 100%
= [tex]\frac{271.4}{4680}[/tex] x 100%
= 5.8%
Solve each problem. Show all your steps
-2 1/2 dived by 1 7/8
Answers
Answer:
1.4
Step-by-step explanation:
A cheese maker changes the temperature of her milk at a rate of -2 per minute. What is the change in the temperature of the milk after 25 minutes?
please be sure about your answer !!
Answers
Answer:
-50
Step-by-step explanation:
25 * -2 = -50
Answer:
The change of temperature of the milk after 25 minutes will be -50 degrees because a rate of -2 per minute would be 25 times -2 Have a nice day! :)
The area, a, of a square whose side length is n
Answers
Answer:
a*n=area
Step-by-step explanation:
If a certain sum of money can become
5 times of its principal in 10 years, then
the rate of interest is
Answers
Question, simple interest or compounded?
Simple interest accumulated on a sum for 10 years will double in 10 years with an interest rate of 10%. Now, if you want it to accumulate five times principle, the interest rate will have to be: P(i)(10)=5P. Modifying the equation, we could get: (i)(10)=5. Alas, (.5)(10)=5. 50% is the rate for simple interest.
However, we started out with an amount, and your question asks at what rate will our original investment increase to five times the original amount. So, our equation must be modified: P(i)(10)= 5(P)-P. So, working the equation, i (10)=5(P)-P/P. 5xP-P= 4(P)/P. To restate, i(10)+P=5P. Also, i(10)=4P. Further, i =4P/10. I = .4, or 40%.
As proof, if a sum earns 4 each year for 10 years, the product is 40. If the investment earns 4 per year, at 40% interest, that investment must be 10. 40+10=50.
Compounding, we will have the following equation: P(1+i)^10=5P. P(i)^10=5.
Modified, 5=1(i)^10. \/5^10= 1.1746. Subtracting 1, results in 17.46% interest rate. (1.1746)^10=4.999. 4.999(1)=~5.
What type of connection can you make between markups and tips or taxes? What type of connection can you make between markdowns and discounts? Explain your answer.
Answers
Answer:
Markdowns are the same as discounts. The type of connection between markdowns and discounts is that they all take a percent off a bill or a check, which can involve subtracting and/or dividing. On the other hand, tips and taxes add money. (this is the same with markups.)
Step-by-step explanation:
XD i used this "explanation" and got it correct, it's basically exactly what that guy said but this version is more elaborate, and won't make your teachers suspect anything...xDDD
On a number line, what is the distance between -1.75 and 2.5 help meerr
Answers
Answer:
4.25
Step-by-step explanation:
-1.75+x=2.5
x=4.25
My math teacher,mr.numeric, went to the auto show last weekend. I made the mistake of asking him what he saw.here was his response: I’m glad you asked. I made several interesting observations. As you might have guessed, every red car was a sports car, but I found it odd that half of all the blue cars were sports cars. Interestingly, a salesman told me that half of all the sports cars were red. I counted 40 blue cars and 30 red cars. Now can you tell me how many sports cars were neither blue nor red?
Answers
Answer:
10
Step-by-step explanation:
all red cars were sports cars (30) half of the blue cars were sports cars (20) if 30 is half of all the sports cars, and 20 is 2/3 of half, then the 1/3 left is 10.
Find the slope plus extra pts
Answers
Answer:
The Slope is -4
m = -4
Step-by-step explanation:
Hopefully this Helps! If this wasn't the answer you were looking for please don't hesitate to either comment here or private message me! Have a nice day/night! :))
Can only polygons be rotated
Answers
Answer: no
hope this helps!!!!!!! lol i suck
Robert earned $300 for 6 hours of work. How much did he make in dollars per hour?
Robert earned $
per hour
Will mark brainliest
Q
Answers
Answer:
$50
Step-by-step explanation:
Select all of the zeros of the function f(x)=(3x−4)(x+2).
4
2
43
− 43
− 2
− 4
Answers
Answer:
64784 is the answer of the question here in this article
Step-by-step explanation:
mark me BRAINLIEST
List and describe the characteristics of a wave
Answers
Answer:
Crest = Highest point of the wave.
Trough = Lowest point of the wave.
Wavelength = Distance from one crest/trough to the next (m)
Wave Height = Height from trough to crest (m)
Wave steepness = ratio of wave height to wavelength.
Amplitude = distance from the centre of wave to the bottom of the trough (m)
Step-by-step explanation:
HELP IM GIVING BRAINLIEST
Answers
how many solutions does this equation have? 2x+7=2x
Answers
Answer:
no solution
Step-by-step explanation:
what is the pattern 2 10 40 120
Answers
Answer:
2 plus 3
Step-by-step explanation:
What is the value of y?
B
60°
12
12
ro
60°
А
12 to 60
Answers
answer 60°
solve:180°-(60°+60°)
180°-120°
60°##
What is the multiplicative identity of the complex number –4 + 8i
Answers
Answer:
B, 1
Step-by-step explanation:
EDGE 2020
During the 2011-12 NBA season, LeBron James had an average of 30.3 points per game. The mean and standard deviation for the league were 7.65 points per game and 6.64 points per game, respectively. That same season the WNBA was led by Diana Taurasi who averaged 21.6 points per game. The mean and standard deviation for the entire WNBA that year were 8.13 points per game and 4.77 points per game, respectively. Who had the more remarkable performance compared to the rest of their league
Answers
Answer:
LeBron James had the more remarkable season
Step-by-step explanation:
Given that:
LeBron James:
Average point per Game = 30.3
Mean of the league (m) = 7.65
Standard deviation (s) = 6.64
WNBA:
Taurasi:
Average point = 21.6
Mean = 8.13
Standard deviation =4.77
Taking the Zscore for each:
LeBron :
Zscore = (x - m) / s
Zscore = (30.3 - 7.65) / 6.64
Zscore = 22.65 / 6.64 = 3.411
P(z < 3.411) = 0.99968
Taurasi :
Zscore = (x - m) / s
Zscore = (21.6 - 8.13) / 4.77
Zscore = 13.47 / 4.77
Zscore = 2.82
P( Z < 2.82) = 0.9976
LeBron's average has more standard deviations above the mean than Taurasi
Write the equation of the line:
(0,3); slope -2
Answers
Answer:
y=-2x+3
Step-by-step explanation:
the y-intercept is (0,3) and the slope is -2, just plug that in to the slope intercept form, y=mx+b
Pls mark as brainliest thank u.
Which expression is equivalent to - 3/4 divided (-8/12)
Answers
Answer:
3/4
Step-by-step explanation:
There are no answer choices so I just solved the equation
-3/4 divided by -8/12
Flip -8/12 to -12/8
Multiply -3/4 by -12/8
24/32
Simplify.
12/16
Simplify some more.
6/8
Simplify even more.
3/4
Hope I helped :)
Please consider Brainliest
After how many weeks will Donald and Ralph have the same amount of money saved?
A-6wks
B-20wks
C-12wks
Answers
5 square root of 2 help please
Answers
hope this is helpful! XD XD
Two trains leave a station, one headed due west and the other headed due south. How fast is the southern bound train moving if the west bound train is 15 miles from the station traveling at a constant speed of 35 mph, the distance between the trains is 24 miles, and the distance between them is increasing at a rate of 25 mph.
Answers
Answer:
dx/dt = 4 mph
Step-by-step explanation:
The two trains, with the station ( origin of the coordinates system) all, form a right triangle when we considered the distance between the two trains.
In that triangle:
distance between trains D = 24 miles
leg (1 ) distance of train going west to origin y = 15 miles
leg (2) distance of train going south x = ??
When d = 24 and y = 15
D² = y² + x² ⇒ x² = D² - y²
x = √ (24)² - (15)²
x = √351
x = 18,73 miles
Now according to Pythagoras theorem
D² = x² + y²
Taking derivatives (respect to time) on both sides of the equation we get
2*D*dD/dt = 2*y*dy/dt + 2*x*dx/dt
In this expression we are looking for dx/dt, all the rest of variables are known
2*24*25 = 2* 15*35 + 2*(18,73)* dx/dt
(1200 - 1050 )/37,46 = dx/dt
dx/dt = 4 mph
I dont know how I need help on how to do it
Answers
Answer:
oh my what grade u in
Step-by-step explanation:
6. Rachel's garden is square in shape. The length of one side of her garden is 52 feet. What is the area of her garden in square feet? Express your answer using exponents.
Answers
Answer:
52^ 2 because this is equal to the area which is 2704 sq ft. So 52 to the second power is your answer.
Step-by-step explanation:
During the first hour of a snow storm 1 2/8 inches of snow fell in the next hour 4 3/8 inches fell in the third hour the snow stopped and 1 inch of snow melted how much snow was on the ground at the end of the third hour
Answers
Answer:
4 5/8
Step-by-step explanation:
Rewrite each equation in slope-intercept form, if necessary. Then determine whether the lines are perpendicular. x = 9 y = -1 Are the lines perpendicular?
Answers
Answer:
[tex]x = 9[/tex] and [tex]y = -1[/tex] are perpendicular to each other.
Step-by-step explanation:
From Analytical Geometry we know that horizontal lines are of the form:
[tex]y = a[/tex], [tex]\forall \,a\in\mathbb{R}[/tex] (Eq. 1)
Where:
[tex]y[/tex] - Dependent variable, dimensionless.
Which means that for all value of [tex]x[/tex] (independent variable) has [tex]a[/tex] as their image. If we write this equation in slope-intercept form, we get that:
[tex]y = 0\cdot x + a[/tex] (Eq. 1b)
Where slope is the ratio of the change in dependent variable to the change in independent variable.
Whereas vertical lines have the following one:
[tex]x = b[/tex], [tex]\forall \,b\in\mathbb{R}[/tex] (Eq. 2)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
Which means that for all value of [tex]y[/tex] (dependent variable) has [tex]b[/tex] as their image.
If we write this equation in slope-intercept form, we get that:
[tex]x = 0\cdot y + a[/tex] (Eq. 2b)
Where slope is the ratio of the change in independent variable to the change in independent variable.
In addition, we must remember that two lines perpendicular to each other observe the following relation:
[tex]m_{A} = -\frac{1}{m_{B}}[/tex] (Eq. 3)
Where [tex]m_{A}[/tex] and [tex]m_{B}[/tex] are the slopes of each line. It is quite evident that if [tex]m_{A} = 0[/tex], corresponding to a horizontal line, then [tex]m_{B}[/tex] becomes undefined, corresponding to a vertical line.
In consequence, we come to the conclusion that [tex]x = 9[/tex] and [tex]y = -1[/tex] are perpendicular to each other.
A bakery sells 20 pies, 30 cakes, and 35 muffins on Saturday. The bakery sells
10 pies, 18 cakes, and 28 muffins on Sunday. Which ratio is the smallest?
O A. Number of pies to cakes sold on Saturday
B. Number of cakes to muffins sold on Saturday
C. Number of pies to cakes sold on Sunday
D. Number of cakes to muffins sold on Sunday
Answers
50 BRAINLY POINTS PLS HELP
Answers
Answer:
Hello!!! erz here ^^
Step-by-step explanation:
I believe the answer is y = 8x - 3 (Option B)
Hope this helps!! :D