Answers
Answer:
[tex]49x^2+126xy+81y^2[/tex]
Step-by-step explanation:
Use the square of a binomial theorem
[tex](a+b)^2[/tex]= [tex]a^2+2ab+b^2[/tex]
Now expand the given equation:
[tex](7x+9y)^2=49x^2+126xy+81y^2[/tex]
Hope this helps :)
Have a great day!
Related Questions
Solve the formula for T. L=4 πzt+5 πz^3
Answers
Answer:
[tex]{ \tt{L = 4\pi zt + 5\pi {z}^{2} }} \\ \\ { \tt{L = \pi z(4t + 5z)}} \\ \\ { \tt{ \frac{L}{\pi z} = 4t + 5z}} \\ \\ { \tt{4t = \frac{L}{\pi z} - 5z}} \\ \\ { \tt{t = \frac{L}{4\pi z} - \frac{5z}{4} }} \\ \\ { \boxed{ \tt{t = \frac{L - 5\pi {z}^{2} }{4\pi z} }}}[/tex]
ben fills a glass with orange jiuce and lemonade in the ratio of 1:4 by volume . he mixes the liquid in the glass . Ben then drinks 1/4 of this liquid
Answers
1/4 O + 3/4 L = x
Drink 1/4 of x, ratio of O and L doesn't change
1/4 O + 3/4 L = 3x/4
Fill up by adding 1/4 O
So it becomes 1/4 O + 1/4 O + 3/4 L = x
1/2 O + 3/4 L = x
Ratio of O to L = 1/2 divided by 3/4
= 1/2 * 4/3
Ratio of orange to Lemonade is 2:3
Write the slope-intercept form of the equation of each line.
Answers
Step-by-step explanation:
9.
the first we see when going from left to right : the line goes down, so it has a negative slope (factor of x).
then we look at the y-intercept (the point where the line crosses the y-axis) : negative y and around -5.
with all that we have eliminated B and D.
and not only does the line go down, it goes sharply down. so, the absolute value of the slope must be bigger.
therefore, C is the right answer.
and a quick check confirms, as the slope -10/3 means that for a change of x by +3 units causes y to change by -10, and that is what we are seeing on the chart.
at x = -3 it looks like y is about +5.
and at x = 0 (change by +3) it looks like y is about -5 (change by -10).
10.
the y-intercept does not give us a clue here, it is 1 for all 4 options, and the graph confirms it.
but this line goes up, so the slope is positive.
it is rather "flat" and by far not even diagonally, so the absolute value of the slope must be a small value (much smaller than 1, as a slope of 1 means "diagonally").
therefore, D is the right answer.
a quick check confirms, as the slope 1/5 means that for a change in x by +5 would lead to a change in y by +1.
and that is what we are seeking on the chart.
at x = -5 it looks like y is about 0.
at x = 0 (change by +5) it looks like y is about +1 (change by +1) - the y-intercept.
Set up a proportion and solve.
1) On a map, the key indicates that 2.5 centimeters equal 10 miles. A
road on the map runs for 30 centimeters. How long is the road?
Answers
Answer:
120 miles
Step-by-step explanation:
A proportion is a ratio that equals a ratio. I'm going to use cm/miles when I setup the proportion.
[tex]\frac{2.5}{10} =\frac{30}{x}[/tex]
Cross multiply
2.5x = 300
divide
2.5x/2.5 = 300/2.5
x = 120 miles
Shelley is searching online for airline tickets. Two weeks ago, the cost to fly from Orlando to Hartford was $200. Now the cost is $280. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
Answers
What is the percent increase from $200 to $280?
[tex]\frac{280}{200} *100 -100[/tex] → [tex]140 -100[/tex] → 40%There was 40% increase from $200 to $280
What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
increase with baggage fee:new ticket cost + baggage free280 + 50 $330 [tex]\frac{330}{200} *100 - 100[/tex] → 165% - 100% → 65%There was 65% increase with the baggage fee.
#1
Old price=200$New price=280$Increase=280-200=80$Rate of increase (Percent increase)
[tex]\\ \tt\hookrightarrow \dfrac{80}{200}\times 100[/tex]
[tex]\\ \tt\hookrightarrow 40\%[/tex]
#2
New price=280+50=330$Increase=330-200=130$Percent increase:-
[tex]\\ \tt\hookrightarrow \dfrac{130}{200}(100)[/tex]
[tex]\\ \tt\hookrightarrow 65\%[/tex]
What is the value of the expression “-5(3+5)”
Answers
-5 (3 + 5)
-5 (8)
-5 × 8
= -40
Good luck :)
Answer:
-40
Step-by-step explanation:
First you distribute
-5 · 3 = -15
-5 · 5 = -25
Then you add
-15 + (-25) = -40
A 50 kg box is placed on a table.A force of 50N upwards is exerted on the box.What would you observe happening to the box?
A.The box would remain stationary on the table
B.The box would lift off the table for a short time and then fall down again
C.The box would move upwards
D.The box Would move downwards
Answers
because i took the test and got it right
Hi please help!! i will mark as brainliest if i can
Answers
Flaws in a certain type of drapery material appear on the average of one in 150 square feet. If we assume a Poisson distribution, find the probability of at least one flaw appearing in 300 square feet.
Answers
Using the Poisson distribution, it is found that there is a 0.8647 = 86.47% probability of at least one flaw appearing in 300 square feet.
What is the Poisson distribution?In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.Flaws in a certain type of drapery material appear on the average of one in 150 square feet, hence, considering 300 square feet, the mean is of:
[tex]\mu = \frac{300}{150} \times 1 = 2[/tex]
The probability of at least one flaw appearing in 300 square feet is given by:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-2}2^{0}}{(0)!} = 0.1353[/tex]
Then:
[tex]P(X \geq 1) = 1 - 0.1353 = 0.8647[/tex]
0.8647 = 86.47% probability of at least one flaw appearing in 300 square feet.
More can be learned about the Poisson distribution at https://brainly.com/question/13971530
Andres is offered a job as manager of a health club. The job will pay $3,100 per month, paid
semimonthly. Along with the base salary, the company offers to pay half the cost of medical
insurance and will match Andres' contribution to a retirement plan up to a total of $3,500. If
the full cost of the medical insurance is $450 per month and Andres plans to contribute the
full $3,500 every year to a retirement plan, what is the actual annual value of this job to
Andres?
A)$83,300
B)$43,400
C)$42,600
D)$37,200
E)$46,100
Answers
Anya’s team won 5 out of every 7 games this season.
If the team played 28 games this season, how many games did they win?
Enter your answer in the box.
Answers
Answer:
20 out of 28 games.
Step-by-step explanation:
28 divided by 7 is 4.
5 times 4 is 20.
20 out of 28 games.
(This is simple math honestly.)
what is the measure of n? 5 15 m
Answers
Answer:
[tex]n= 5 \sqrt{3} [/tex]
Step-by-step explanation:
[tex]n = \sqrt{15 \times 5} = \sqrt{75} \\ \\ \huge n=\boxed{ 5 }\sqrt{\boxed{3}} [/tex]
QUICK ITS TIMED
Solve for h.
A= 1/2bh
Answers
Answer:
Clear the fraction first which means multiply both side by the reciprocal (2)
2a = bh
Divide both sides by b since you are solving for h
Your answer is 2a/b = h
The ratio of males to females at a gym is 4:5. There are 20 females at the gym. How many males are in the gym?
Answers
Answer:
Step-by-step explanation:
The ratio of males to females at a gym is 4:5. There are 20 females at the gym. How many males are in the gym?
4 : 5 = x : 20
x = 4 * 20 : 5
x = 16
---------------------
check
4 : 5 = 16 : 20
4 : 5 = 4 : 5
the answer is good
Please help me:() show work thanks!!
Answers
Step-by-step explanation:
area of ∆ = .5*pq*qr* sin q
= 23.63
I need a definition and example of the multiplication property of equality
Answers
Answer:
➢ The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal. Example 1 : Lisa and Linda have got the same amount of money. ... Multiply both sides by 4.
Step-by-step explanation:
HOPE IT WILL HELP YOU
[tex]kai6417[/tex]
#carry on learning
13.12:3 and 4: 6 are equal.
(A) True
(B) False
(C) Cannot be determined
Answers
Answer:
13. (B). False
Explanation
in the image
ANSWER PLEASE HELP!!!
Answers
Answer:
It should be <AFB
Step-by-step explanation:
The reason is that supplementary angels add up to 180 degrees which is a flat line and <AFB and <CFA do that
Robert has a balance of $ 3,000 in his first state bank checking account. he deposits $ 345.97 paycheck, a $ 567.28 dividend check, and a personal check for $ 150 into his account. her wants to receive $ 200 in cash. how much will he have in his account after the transaction
Answers
Answer:
$3863.17
Step-by-step explanation:
This is simple adding and subtracting.
3000.00
345.97
567.20
+ 150.00
4063.17
-200.00
$3863.17
3 + (2 + 8)2 ÷ 4 × 1 over 2 to the power of 4
Answers
Answer:
[tex]\frac{13}{32}[/tex]
Step-by-step explanation:
You start inside the () then you divide it by 4 then x by 1 then add 3
у 0 1 1 1.5 ON 2.25 3 3.38
Answers
what do you mean by that?
a car travels for 300 km at an average speed of 65 km/h.How long does the car take to travel the distance
Answers
Based on the table below,
Answers
Locate 6 in the x row. Directly below this is 96
This means f(6) = 96
------------------------------------------------------
Now locate 3 in the f(x) row. Directly above this is 7
You are correct in stating that f(7) = 3
What key features do the functions f(x) = 3x and g of x equals the square root of the x minus 3 end root have in common?
1-Both f(x) and g(x) include domain values of [3, ∞) and range values of (0, ∞), and both functions are positive for the entire domain.
2- Both f(x) and g(x) include domain values of [–3, ∞) and range values of (–∞, ∞), and both functions have an x-intercept in common.
3- Both f(x) and g(x) include domain values of [3, ∞) and range values of (0, ∞), and both functions have a y-intercept in common.
4- Both f(x) and g(x) include domain values of [–3, ∞) and range values of (–∞, ∞), and both functions increase over the interval (–3, 0).
Answers
Functions can be represented using equations and graphs
The key features are (1) both f(x) and g(x) include domain values of [3, ∞) and range values of (0, ∞), and both functions are positive for the entire domain.
How to determine the key featuresThe functions are given as:
[tex]f(x) = 3^x[/tex]
[tex]g(x) = \sqrt{ x - 3}[/tex]
Using a graphing calculator:
The domain of g(x) is [tex][3,\infty)[/tex]The range of g(x) is [tex][0,\infty)[/tex]The domain of f(x) is [tex](-\infty,\infty)[/tex]The range of f(x) is [tex](0,\infty)[/tex]Both functions have positive values for their domainsBy comparing the above highlights, the true statement between functions g(x) and f(x) is option (1)
Read more about function domain and range at:
https://brainly.com/question/10197594
Elliot’s dad bought a new car for $31,000 in 2012. Elliot read that a new car loses about 13% of its value each year. What is the multiplier for this situation?
PLEASE SHOW ALL WORK!
Answers
The multiplier that would be used to calculate the depreciation of the car is 0.83^y.
What does depreciation mean?Depreciation is when the value of an asset declines due to wear and tear.
The equation that can be used to represent depreciation is:
Value of the asset x (1 - rate of depreciation)^years
$31,000 x 0.83^y.
To learn more about depreciation, please check: https://brainly.com/question/25552427
7.40- 2.75 ... show your work
Answers
18.14 divided by 0.06 ASAP TEST TOMMOROW
Answers
Answer:
302.33
Step-by-step explanation:
Answer:
302.333... Its a repeating number.
Step-by-step explanation:
Izzy's Ice Cream shop sells a variety of flavors
each day. Izzy serves 15 scoops in 10 minutes.
Which figure represents the rate if it stays constant
Answers
Answer:
Figure D
Step-by-step explanation:
15/10 can be simplified to 3/2. Figure D represents a consistent rate of 3/2
What the rate of change for f(t)=70(5/2)^t
help
Answers
Answer:
No t-intercept/zero
Step-by-step explanation:
1- Substitute f (t) = 0
Rewrite
2- Calculate
3- The statement is false for any of t
4- there is no t-intercept/zero
Help me out please!!!!!! I’d appreciate it so much (:
Answers
Answer:
x = 11/7 y = -1/7
Step-by-step explanation:
2x + y = 3
2x + y - 2y = 3 - 2y
y = 3 - 2x
x - 3(3 - 2x) = 2
x - 9 + 6x = 2
x - 9 + 6x + 9 = 2 + 9
x + 6x = 11
7x = 11
7x / 7 = 11/7
x = 11/7
2(11/7) + y = 3
22/7 + y = 3
22/7 + y - 22/7 = 3 - 22/7
y = -1/7
Answer:
(¹¹⁄₇, -⅐)
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}2x+y=3&\\x-3y=2\end{cases}[/tex]
What is the elimination method?
The elimination method is when you rewrite the two equations so that when added together, one of the two variables (x or y) is eliminated.
Step 1: Multiply the first equation by [tex]3[/tex].
[tex]\implies (3)2x+(3)y=(3)3[/tex]
[tex]\implies 6x+3y=9[/tex]
Step 2: Add the above equation to the second equation to eliminate 3y.
[tex]\begin{array}{r l}6x+3y & = 9\\+\ x-3y&=2\\\cline{1-2}7x&=11 \end{array}[/tex]
Step 3: Solve for x (by dividing both sides by 7).
[tex]\implies \dfrac{7x}{7}=\dfrac{11}{7}[/tex]
[tex]\implies \boxed{x=\dfrac{11}{7}}[/tex]
Step 4: Substitute ¹¹⁄₇ as the value of [tex]x[/tex] in any of the given equations and solve for [tex]y[/tex].
[tex]\implies 2\left(\dfrac{11}{7}\right)+y=3[/tex]
[tex]\implies \dfrac{22}{7}+y=3[/tex]
Step 5: Convert [tex]3[/tex] into a fraction and subtract ²²⁄₇ from both sides of the equation.
[tex]\implies \dfrac{22}{7}-\dfrac{22}{7}+y=\dfrac{21}{7}-\dfrac{22}{7}[/tex]
[tex]\implies \boxed{y=-\dfrac{1}{7}}[/tex]
The solution to the given system of equations is (¹¹⁄₇, -⅐).
Learn more here:
brainly.com/question/27868564