Answer:
(4,-2)
Step-by-step explanation:
What is linear combination?
Linear combination is the process of adding two equations to eliminate a variable so that we are able to solve for the other variable.
Here we are given the two equations 9x + 4y = 28 and 2x + 4y = 0. We can use linear combination to cancel out the two 4y terms leaving us with only x variables in which we can solve for.
Adding the two equations. (subtracting the second equation from the first) we really are subtracting the second equation from the first because if we were to add we would get 4y + 4y which wouldn't cancel out the terms therefore we would have to subtract the two equations to get 4y - 4y which cancels out the terms.
9x + 4y = 28
- (2x + 4y = 0)
==> remove parenthesis and apply negative sign
9x + 4y = 28
-2x - 4y = -0
----------------------
7x = 28
==> divide both sides by 7
x = 4
Finding the y value:
The solution is written as (x,y) meaning we also need the value of y. To find it we can plug in the value of x into one of the equations and then we can solve for y.
2x + 4y = 0
==> plug in x = 4
2(4) + 4y =0
==> multiply 2 and 4
8 + 4y = 0
==> subtract 8 from both sides
4y = -8
==> divide both sides by 4
y = -2
so we have x = 4 and y = -2
the solution of the equation would be (4,-2)
Checking our work
If our answer is correct we can plug in the values of x and y into both equations and the outcome will be valid ( or correct )
Equation 1 : 9x + 4y = 28
==> plug in x = 4 and y = -2
9(4) + 4(-2) = 28
==> multiply 9 and 4
36 + 4(-2) = 28
==> multiply 4 and -2
36 - 8 = 28
==> subtract 8 from 36
28 = 28
Equation 2 : 2x + 4y = 0
==> plug in x = 4 and y = -2
2(4) + 4(-2) = 0
==> multiply 2 and 4
8 + 4(-2) = 0
==> multiply 4 and -2
8 - 8 = 0
==. Subtract 8 from 8
0 = 0
Both are correct so our solution is correct!
Learn more about solving systems using linear combination here! : https://brainly.com/question/12691830
The total amount of weight on an airplane cannot exceed 2,500 pounds. The plane is carrying 1,750 pounds of
luggage. The average weight of each passenger on the plane is 150 pounds. Set up and solve an inequality to
find the number of passengers, p, the plane could carry.
A. 150p+1750 ≤2500; p ≤5
B. 150+1750p ≤2500; p ≤ 1.3
C. 150p-1750 ≤2500; p ≤ 28.3
D. 150p+2500 2 1750, p 2-5
Answer:
I think its A but not sure it's the one that makes the most sense though
I need a answer for this:
What causes a wagon to speed up when going down a hill?
Answer:
supermax makes it go fast
Step-by-step explanation:
What is the probability of rolling an odd number or rolling a 2 on a six sided die? *
1/6
5/6
1/3
1/2
2/3
Guaranteed
Answer: 2/3
Step-by-step explanation:
First, find the probability of rolling an odd number. The odd numbers on a 6-sided die are 1, 3, and 5. This is a probability of 3/6.
Now, find the probability of rolling a 2. There's only one 2 on a die, so the probability is 1/6.
Next, add these together. 3/6 + 1/6 = 4/6. This can be reduced by dividing both the numerator and denominator by 2. This results in a final probability of 2/3.
Which equation implies that a and b are independent events? a. b. c. d. e.
Using conditional probability, the equation that implies that a and b are independent events is P(B|A) = P(B).
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.If A and B are independent events, we have that:
[tex]P(A \cap B) = P(A)P(B)[/tex].
Then, at the conditional formula:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)P(B)}{P(A)} = P(B)[/tex]
More can be learned about conditional probability at https://brainly.com/question/14398287
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Answer:
P(B/A)=(A)
Step-by-step explanation:
trust me
Sandra plotted the point whose ordered pair is (-4, 6). Which point did Sandra plot?
Point D
Point A
-10 6
Point B
Point C
Answer:
POINT A
Step-by-step explanation:
it is 4 units to the left and 6 units up of the origin
if this is a perfect square trinomial factor it
A: (x-6)^2
B: (x+6)^2
C: (x(6)(x-12)
D: it's not a perfect square trinomial
Answer:
Option B: [tex](x + 6)^2[/tex]
Step-by-step explanation:
Hello!
We can simply expand each option to find which one matches the trinomial [tex]x^2 +12x + 36[/tex]
A: (x - 6)²(x - 6)(x - 6)x² - 6x - 6x + 36x² - 12x + 36It does not match.
B:(x + 6)²(x + 6)(x + 6)x² + 6x + 6x + 36x² + 12x + 36Option B matches, so it is the right solution.
what is the anwer to 81 = 27x-4
Answer: x= [tex]\frac{85}{27}[/tex]=x
Step-by-step explanation:
1. Add 44 to both sides.
81+4=27x
2. Simplify 81+4 to 85.
85=27x
3. Divide both sides by 27.
[tex]\frac{85}{27}[/tex]=x
4. Switch sides.
X= [tex]\frac{85}{27}[/tex]
Decimal form: 3.148148
4 - 5 5g > 39
What is the solution set for the inequality?
Answer:
g < -7
Step-by-step explanation:
Check image below
Ajay has a piggy bank which has one-rupee and two-ruppe coins. The number of 2 rupee coins is twice the number of 1 rupee coins.the total amount of money in the piggy bank is 30 rupees. How many 1 rupee and 2 rupee coins are there in the piggy bank?
Answer:
6 one rupee and 12 two rupee coins.
Step-by-step explanation:
If the number of rupee coins is x then the number of 2 rupee coins is 2x.
x + 2*2x = 30
5x = 30
x = 6.
there are 18 sweets in a packet. 8 of the sweets are mint what fraction of the sweets are not mint
Answer:
10/18 of the sweets are not mint
you can also simplify this fraction and say 5/9
Please help me!!? Number 6
Answer:
the b believes in me
Step-by-step explanation:
B)75km etc
1hr
[tex]\frac{75 \text{ km}}{1 \text{ hr}} \times \frac{1000 \text{ m}}{1 \text{ km}} \times \frac{1 \text{ hr}}{60 \text{ min}} \times \frac{1 \text{ min}}{60 \text{ sec}}[/tex]
========================================================
Explanation:
We'll use the following facts (either memorized or written on a reference sheet somewhere)
1000 m = 1 km1 hr = 60 min1 min = 60 secEach of those equations will form conversion factors to help us go from km/hr to m/s. Each conversion factor is a fraction connecting the two sides of the equation. Example: The equation 1000 m = 1 km forms the conversion factor of [tex]\frac{1000 \text{ m}}{1 \text{ km}}[/tex]
In choice B, notice how the fractions are set up. The "km" units cancel when dividing. The same goes for the "hr" and "min" units.
Check out the screenshot below where I show this cancellation in action. The color-coding helps show how the terms pair up and cancel.
Choice A comes close to what choice B is saying, but we don't have the "min" units cancel. So choice A is eliminated as an answer.
Choices C and D are also eliminated because of the "75 km" in the denominator. It should be 1 km.
Find the sum of the first 8 terms of the geometric sequence that begins: 12, 18, 27, ...
Answer:
times it bye 1.5 to get the next 8 terms
Step-by-step explanation: divide them all so 27.18 and 18/12 that will give you the same two answers thats what you times bye to get the next terms
Mrs. Martinez is making a stained-glass
window. She wants to make a triangular pane
having side lengths a = 12 in. and b= 16 in. If
m
panes can she make?
Answer: They have raised $100 for the materials for the project. The colored glass costs $5 per square foot and the clear glass costs $3 per square foot.
Step-by-step explanation:
Need help please answer ASAP!
Answer:
29. (2) 12
30. (1) a slope of 3/2 and a y-intercept of -6
31. (1) 12
32. (4) 8%
33. (1) -5
Step-by-step explanation:
Question 29
2x/3 - 5 = x/42x/3 - x/4 = 5(8x - 3x)/12 = 55x = 60x = 12(2) 12Question 30
3x - 2y = 122y = 3x - 12y = 3x/2 - 6It has a slope of 3/2 and y-intercept of -6(1) a slope of 3/2 and a y-intercept of -6Question 31
(x - 4)(x + a) = x² - x + w = 0a - 4 = -1a = 3(x - 4)(x + 3) = x² - x - 12 = 0w = 12(1) 12Question 32
Sales tax = $20.51 - $18.99 / $18.99Sales tax = $1.52/$18.99Sales ≈ 8%(4) 8%Question 33
C = 5/9 [23 - 32]C = 5/9 (-9)C = -5(1) -5Help with this 10th grade circle problem? can someone help me solve this, i have no idea how. my teacher wont get back to me.
Answer:
D) 8
Step-by-step explanation:
Use the Intersecting Chords Theorem to find the value of x:
[tex]x*x=16*4\\\\x^2=64\\\\x=8[/tex]
A right triangle has legs of 21 inches and 28 inches whose sides are changing. The
short leg is decreasing by 7 in/sec and the long leg is shrinking at 7 in/sec. What is
the rate of change of the hypotenuse?
Using the Pythagorean Theorem, it is found that the rate of change of the hypotenuse is of -9.8 in/sec.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
Applying implicit differentiation, the rate of change of the hypotenuse is given by:
[tex]2h\frac{dh}{dt} = 2l_1\frac{dl_1}{dt} + 2l_2\frac{dl_2}{dt}[/tex]
[tex]h\frac{dh}{dt} = l_1\frac{dl_1}{dt} + l_2\frac{dl_2}{dt}[/tex]
In this problem, we have that the parameters are given as follows:
[tex]l_1 = 21, \frac{dl_1}{dt} = -7, l_2 = 28, \frac{dl_2}{dt} = -7[/tex]
[tex]h = \sqrt{l_1^2 + l_2^2} = \sqrt{21^2 + 28^2} = 35[/tex]
Hence, the rate of change of the hypotenuse, in inches per second, is given by:
[tex]h\frac{dh}{dt} = l_1\frac{dl_1}{dt} + l_2\frac{dl_2}{dt}[/tex]
[tex]35\frac{dh}{dt} = 21(-7) + 28(-7)[/tex]
[tex]\frac{dh}{dt} = \frac{21(-7) + 28(-7)}{35}[/tex]
[tex]\frac{dh}{dt} = -9.8[/tex]
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The zeroes of the function are___
Answer:
The zeros are x = -2, x = 0, x = 4.
Step-by-step explanation:
The zeros describe where the function crosses the x-axis, or where the y-value is zero. In this case, the zeros are x = -2, x = 0, x = 4.
Avani is trying to find the height of a radio antenna on the roof of a local building. She stands at a horizontal distance of 21 meters from the building. The angle of elevation from her eyes to the roof ((point AA)) is 27^{\circ} ∘ , and the angle of elevation from her eyes to the top of the antenna ((point BB)) is 37^{\circ} ∘ . If her eyes are 1.54 meters from the ground, find the height of the antenna ((the distance from point AA to point BB)). Round your answer to the nearest tenth of a meter if necessary.
The answer is 5.1.
Answer:
Avani is the tiktoker everyone adores. however 49499 +4939+ 4969 is not the answer your looking for you. you have to subtract 39 from 129 to get the exact meters. and round it to the nearest tenth.
Step-by-step explanation:
Pls Help, I will mark brainliest.
Answer:
5^2
Step-by-step explanation:
..................................................
#57 will give brainliest to the best answer. please explain
Answer:
(x+y)(z+1)
Step-by-step explanation:
trust me .......
Answer:
(x+y) (z+1)
Step-by-step explanation:
xz + x + yz + y
- group the first two terms and the last two terms.
(xz + x ) + yz + y
- factor out the greatest common factor (GCF) from each group.
x (z + 1) + y (z + 1)
- factor the polynomial by factoring out the greatest common factor, z + 1.
(x+y) (z+1)
What is the factor form pls yall I need help lol and put how to solve it
Answer:
y = -1/2(x - 3)(x - 7)
Step-by-step explanation:
we already have the x intercepts so we can first put those in our equation
y = a(x - 3)(x - 7)
then we can plug in the vertex to find what our a value is
2 = a(5 - 3)(5 - 7)
2 = a(2)(-2)
2 = -4a
a = -1/2
so your equation is
y = -1/2(x - 3)(x - 7)
I need help please anyone, I would appreciate it sm?!
Answer:
1st option y-5 = 3(x-1)
Step-by-step explanation:
graph shows y intercept of 2
1st option has a y intercept of 2
Answer:
Option 1
Step-by-step explanation:
Clearly, the slope of the line is 3. (As it cannot be negative in this case and it's more vertical so it's not 1/3)
The point slope form is written as :
y - y₁ = m(x - x₁)
Substituting m = 3 :
y - y₁ = 3(x - x₁)
Option 1 is the only option with the value of m as 3.
Write an expression that represents the weigh of and object that weighs 12 pounds and increases by 0.5 pound per month, m.
The table below shows the different times it takes paula to drive to her grandmother’s house depending on the rate at which she drives. rate vs. time rate (mph) 30 40 50 60 time (h) 2.5 1.875 1.5 1.25 if one day paula rides a scooter to her grandmother’s house at a constant rate of 24 miles per hour, how long should it take her? 2.625 hours 2.75 hours 3.125 hours 3.75 hours
Paula will take 3.125 hours to reach the grandmother's house if the constant rate of the scooter is 24 miles per hour, option third is correct.
What is the distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
Let's suppose the distance between Paula's home to her grandmother's house is x miles
Then x = 30×2.5 (Distance = speed×time)
x = 75 miles
If one day, Paula rides a scooter to her grandmother’s house at a constant rate of 24 miles per hour, the time she takes:
= 75/24
= 3.125 hours
Thus, Paula will take 3.125 hours to reach the grandmother's house if the constant rate of the scooter is 24 miles per hour, option third is correct.
Learn more about the distance here:
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Answer:
c
Step-by-step explanation:
if sally drives to work 25% faster than she did yesterday, what would be her
percentage decrease in the time it takes her to get to work
Answer:
50 percent
Step-by-step explanation:
because sally was tried yesterday and went 25 percent faster today.
Four seventh-grade students won awards. In how many different ways could the students sit with a partner during awards ceremony?
The number of the different ways could the students sit with a partner during the awards ceremony will be 24.
What are permutation and combination?A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
Four seventh-grade students won awards.
Then the number of the different ways could the students sit with a partner during the awards ceremony will be
P = 4!
P = 4 x 3 x 2 x 1
P = 24
More about the permutation and the combination link is given below.
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18. A tree casts a 76ft shadow when the sun is at a 41° angle of depression. Find the height of the tree.
Round to the tenths place.
Answer:
87.36 ft.
Step-by-step explanation:
Angle of depression : 41°
Length of shadow : 76 ft.
Taking the tan ratio (let the height of the tree be 'h') :
tan 41° = 76/h
0.87 = 76/h
h = 76/0.87
h = 87.36 ft.
Answer:
the height of the tree = 87.4 ft (Rounded to the tenths place)
Step-by-step explanation:
the tree form a right angle with the ground
Then , we have a right triangle .
let H be the height of the tree.
[tex]\tan 41=\frac{76}{H}[/tex]
[tex]\Longrightarrow H = \frac{76}{\tan(41)} = 87.427998948797[/tex]
A can of vegetables with no label has a 1/8 chance of being green beans, and a
1/5 chance of being corn. What is the probability the can is green beans or
corn?
Answer:
13/40.
Step-by-step explanation:
We add the probability in this case.
So it is 1/5 + 1/8
= 8/40 + 5/40
= 13/40.
Ms. Lewis is hiring a carpenter to repair her shed. The cost of Carpenter L is shown in the table.
A table titled Carpenter L Costs is shown. It has three columns and two rows. Row one is labeled Hours, h. Row two is labeled Cost, c. One hour, one hundred eighty-seven dollars. Two hours, two hundred fifty-nine dollars. Three hours, three hundred thirty-one dollars.
Part A. What is the initial cost and hourly rate of Carpenter L?
Part B. Write an equation to represent the function shown in the table.
Part C. Carpenter N charges $60 per hour and an additional $195 for the materials needed. What is the difference in cost between Carpenter N and Carpenter L if the repair takes 6 hours?
Enter the correct answers in the boxes.
Answer:
A. $115; $72/hour
B. c = 72h + 115
C. $8
Step-by-step explanation:
Part A.
1 hour: $187
2 hours: $259
2 hours - 1 hour = 1 hour
$259 - $187 = $72
$72/hour
The hourly rate is $72/hour.
Since for the first hour he charges $187, and only $72 comes from the hourly rate, then the initial cost is $187 - $72 = $115.
The initial cost is $115.
Part B.
c = 72h + 115
Part C.
Carpenter L for 6 hours:
c = 72(6) + 115 = 547
$547
Carpenter N for 6 hours:
60(6) + 195 = 555
$555
Difference: $555 - $547 = $8
Given that a/b = 3/5 and b/c = 4/5
Find a:b:c
Answer:
12:20:25
I thnk this is it. I'm not sure though