Answer: (x, y) = (6, 1)
This means x = 6 and y = 1
==========================================================
Explanation:
I'll use the substitution method to solve this system.
Let's solve the second equation for x
x-2y = 4
x = 4+2y
Then plug that into the first equation so we can solve for y.
3x - 2y = 16
3(4+2y) - 2y = 16 ... x replaced with 4+2y
12+6y - 2y = 16
12 + 4y = 16
4y = 16-12
4y = 4
y = 4/4
y = 1
Lastly, use this y value to find x
x = 4 + 2y
x = 4 + 2(1)
x = 6
The solution as an ordered pair is (x, y) = (6, 1)
---------------------------------
Checking the answer:
Plug those x,y coordinates into the first equation
3x - 2y = 16
3(6) - 2(1) = 16
18 - 2 = 16
16 = 16
That confirms the first equation. Repeat for the second equation
x - 2y = 4
6 - 2(1) = 4
6 - 2 = 4
4 = 4
Both equations are confirmed.
Write 42 as a product of primes use index notation
Which of the following are not Polynomials?
Answer:
E. is not a polynomial
Step-by-step explanation:
Because the degree of x is 2/5 which is not a polynomial.
Answer:
hmmm....
I don't think any of them are ????
[tex]\sqrt{2} = 2 ^{1/2}[/tex] that is a exponent that is a fraction ......
it appears that all the answers have fractional exponents, negative exponents, or divide by a variable??
Step-by-step explanation:
Polynomials cannot contain division by a variable.
For example, 2y2+7x/4 is a polynomial because 4 is not a variable. However, 2y2+7x/(1+x) is not a polynomial as it contains division by a variable.
Polynomials cannot contain negative exponents.
You cannot have 2y-2+7x-4. Negative exponents are a form of division by a variable (to make the negative exponent positive, you have to divide.) For example, x-3 is the same thing as 1/x3.
Polynomials cannot contain fractional exponents.
Terms containing fractional exponents (such as 3x+2y1/2-1) are not considered polynomials.
Please hurry I will mark you brainliest
The length of a rectangle is 5 less than 4 times the width. The perimeter is 136 m. Determine the dimensions of the rectangle. Write an equation and the “let statements”
Answer:
l = 14.6 m
b = 53.4 m
Step-by-step explanation:
Let breadth be x
Let lenght be 4x-5
so,
perimeter = 2(l+b)
136 = 2(4x-5+x)
or, 136 = 2(5x-5)
or, 136 = 10x - 10
or, 136 + 10 = 10x
or, 146 = 10x
or, x = 146/10
so, x = 14.6 m
so, breadth(x) = 14.6
so, lenght = 4x - 5
= (4×14.6)-5r
= 53.4m
A tanker company has
transported 3.788 x 107 tons
of pineapples during its first
ten years of operation and
expects that total amount to
increase by 25% during the
next ten years.
Which measure
represents the total number of
tons of pineapples that the
company expects to transport
during the next ten years?
A 28.788 X 107 tons
B 9.47 x 106 tons
C 4.735 X 107 tons
D 4.038 X 107 tons
Answer:
c
Step-by-step explanation:
107 x 3.778 x 125/100 = 4.735 x 1-7
How much water should be added to 90ml of 45 percent acid solution to dilute it to 25 percent acid solution
Answer:
72 ml
Step-by-step explanation:
Let
x = amount of water that should be added
45% acid solution = 45/100 = 0.45
25% acid solution = 25/100 = 0.25
The equation is
90(0.45) = 0.25(x + 90)
40.5 = 0.25x + 22.5
40.5 - 22.5 = 0.25x
18 = 0.25x
Divide both sides by 0.25
x = 18/0.25
= 72
x = 72 ml
Trucker's Heaven Diner uses hundreds of plates, glasses, and cups each day. The dishwashers start a new load of dishes every 1 1/4 hours. If the dishwashers work for 10 hours . How many loads off dishes do they wash in that time?
A: 1/2
B: 8
C: 8 3/4
D: 12 1/3
Answer:
B: 8
Step-by-step explanation:
we are given two numbers which we can use to help solve this problem
A: the number of hours the dishwasher is being used
B: how long it takes the dishwasher to do each load
using this info we can find how many loads were washed in 10 hours by dividing the time it takes for each load by how many hours were spent.
10 / 1.25 = 8
The difference in hour between full-time and part-time who work 5 hours a day is 2 working hours. How many hours per day do full-timers work?
Answer:
7
Step-by-step explanation:
The part timer works 5 hours a day
the difference between the part timer and fill time is 2
5+2=7
Write an equation of a line containing a point (5, 5) and is perpendicular to
the line passing through (5, 3) and (10, 6).
A) X/4 + 3y = 10
B) -5 X + 3 Y = 40
C) 5x + 3 Y= 40
D) X + y = 0
342225 square root by division method pls give the steps
Answer:
185 is the square root of 34225
Step-by-step explanation:
hope you understood!!
Which of the following functions represent exponential decay?
An exponential decay function goes down to the right, like in the picture attached.
An exponential function follows this format: [tex]y=ab^x[/tex], where b is less than 1 and more than 0. b is more than 0 but less than 1 in function A.
what is 8/9 divided 2/3
Answer:
4/3
Step-by-step explanation:
8/9 ÷ 2/3
Copy dot flip
8/9 * 3/2
Rewriting
8/2 * 3/9
4 * 1/3
4/3
Which digit is in the thousandths place?
98.327
A. 7
B. 2
C. 3
D. 9
Answer:
A.
Step-by-step explanation:
it is A.
Answer: A. 7
Step-by-step explanation:
Given the number 98.327, then we are going to title each digit with a name
9 = tens
8 = ones
3 = tenths
2 = hundredths
7 = thousandths
Therefore, 7 is in the thousandths place
Hope this helps!! :)
Please let me know if you have any questions
Complete the similarity for the two triangles shown.
Triangle ABC
Answer:
triangle EFD
Step-by-step explanation:
HELPPP ME OUTTTT!!!!!
Answer:
Measure of the unknown angle is 21°.
Step-by-step explanation:
In the given question,
Measure of opposite side and the measure of hypotenuse have been given.
Therefore, we will use the trigonometric ratio for the unknown angle which has the ratio of opposite side and the hypotenuse.
[tex]\text{sin}\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]=\frac{13}{36}[/tex]
[tex]=0.36111[/tex]
[tex]\theta \approx \text{sin}^{-1}(0.36111)[/tex]
[tex]\theta \approx 21.17[/tex]
[tex]\theta \approx 21^{\circ}[/tex]
Therefore, measure of the unknown angle is 21°.
Prove that the circumcenter of a triangle is equidistant from its vertices.
Answer:
Step-by-step explanation:
The circumcenter is equidistant from the three vertices of the triangle. From the figure shown, we will prove DA = DB = DC. 2) DA = DB, DC = DB(If a point is on the perp. bisector of a segment, it is equidistant from each endpoint of the segment.)
The population of a town is 24,000 and is
increasing at a rate of 6% per year for 3 years
Select the true statement about triangle ABC.
A. cos A = cos C
B. cos A = sin C
C. cos A = sin B
D. cos A = tan C
Answer:
B
Step-by-step explanation:
We know that cosθ= adjacent/hypotenuse, sinθ=opposite/hypotenuse, and tanθ=opposite/adjacent.
Using this, we can first try between cos and sin for A-C. We know that two different angles will not have the same side adjacent to both of them. However, one angle might have an adjacent side that is opposite to another angle. Using this knowledge, we can say that A is incorrect, as two different angles in the same triangle cannot have the same cos value (unless the triangle is isosceles).
For B, we can say that cos A = adjacent/hypotenuse = 12/13, and sin C= opposite/hypotenuse = 12/13. These are equal, but we can double check by making sure the other answers are wrong.
For C, we can tell that B is a right angle, signified by the small square representing the angle. sin(90°) = 1, and cosA = 12/13. These are not equal.
Finally, for D, sin A = opposite/hypotenuse = 5/13, while tan C = opposite/adjacent = 12/5. These are not equal
Are shape I and shape II similar? If so, give the dilation that proves they are similar. If not, explain why the shapes are not similar.
Answer:
The answer is "They are similar".
Step-by-step explanation:
They were comparable in this respect because both aspect ratios of the top triangle are one square more. The top triangle is equal to the base triangles if you remove one square away from the height and width.
Otherwise, we can say that it forms all different. The dilation factor which translates that bottom left point of shape I to form II is 2. But this does not map the other shape I vertices onto form II. There's, therefore, no dilation in form I of maps on form II.
What is the rate of change of the amount earned with respect to hours worked for this function?
A) 1/13 hours per dollar
B) 2/5 hours per dollar
C) 3 dollars per hour
D) 13 dollars per hour
The rate of change of the amount earned with respect to hours worked for this function is D. 13 dollars per hour.
What is rate of change?The rate of change for the point defined on the graph can be deduced by calculating the ratio of the difference between the two coordinate points given, similar to calculating the gradient or slope :
Point a = (5, 65) = (x₂, y₂)
Point b = (2, 26) = (x₁, y₁)
Calculating the gradient or slope :
Rate of change = (y₂ - y₁) / (x₂ - x₁)
Rate of change = (65 - 26) / (5 - 2)
Rate of change = 39 / 3
Rate= 13 dollars per hour
Learn more about rate of change on:
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Complete question
The graph shows the amount of money Miguel earns after working x hours. What is the rate of change of the amount earned with respect to hours worked for this function? hours per dollar hours per dollar 3 dollars per hour 13 dollars per hour
This is a graph of the function g(x) =-3x+2. Determine the domain value when th
range value is -4.
Range = -4= g(x)
Therefore, g(x) = -3x+2
or, -4=3x +2
or, 3x= -4-2
or, 3x= -6
or, x= -6/3 = -2
OPTION A is the correct answer.
When the range value is -4 for the function g(x) = -3x + 2, the corresponding domain value is x = 2.
To find the domain value when the range value is -4 for the function
g(x) = -3x + 2, we need to solve for x when g(x) = -4.
Given: g(x) = -3x + 2
When the range value is -4, we have:
-3x + 2 = -4
Now, isolate x:
-3x = -4 - 2
-3x = -6
Now, divide by -3 to solve for x:
x = -6 / -3
x = 2
So, when the range value is -4 for the function g(x) = -3x + 2, the corresponding domain value is x = 2.
To know more about range:
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Which of the following statements is false?
A and B
I hoped it helped you
Calculate the axis of symmetry in the equation Y = (x+1) (x-4)
Come on anyone please helppppppp.
Answer:
Every parabola has a turning point called the axis of symmetry,so for this question you just have to find the turning points
x turning point= -b/2a,and the y turning point is gotten by replacing the value of x in the equation
y=(x+1)(x-4)
=x^2-3x-4
a is 1,b is -3 and c is -4
x= -(-3)/2(1)
=1.5
and y=x^2-3x-4
=1.5^2-3(1.5)-4
= -6.25
therefore the axis of symmetry is (1.5,-6.25)
I hope this helps
Which angles are supplementary to each other?
• Angle 7 and Angle 3
• Angle 9 and Angle 12
• Angle 6 and Angle 12
• Angle 12 and Angle 10
Answer:
∠9 and ∠12
Step-by-step explanation:
Supplementary angles are two angles that add up to 180. Looking at all the answer choices, A, C, and D have either Big-Big angle or Small-Small angle. What we need is Big-Small angle that is next to eachother, which is ∠9 and ∠12.
Hope this helped.
(Also sorry!)
A civil servant had a salary of Rs 9600. Tax up to Rs 85000 per year would be exempted. If he paid Rs 4530 as a tax, how much percent of tax was imposed?
Answer:
4%
Step-by-step explanation:
Yearly salary = 9600 * 12 = Rs. 115200
Tax = Rs . 4530
[tex]Tax \ percent = \frac{4530}{115200}*100[/tex]
= 3.93 = 4%
What type of function is represented by the following graph:
(a) Linear
(b) Quadratic
(c) Absolute Value
(d) Exponential
Answer:
b) quadratic
Step-by-step explanation:
Answer:
b. quadratic
Step-by-step explanation:
it makes the shape of a parabola
hope this helps
Given TVW,MZV = 90°, TV = 14, and VW= 9,
which of the following choices is used to find mZW?
here's the answer to your question
What is the axis of symmetry for the graph of y – 4x = 7 – x2 ?
the axis of symmetry is x=2
FOR EASY BRAINLIEST!!! ANSWER ONLY:
7.
8.
9.
10
Answer:
7) 12,000
8) 0.0004253
9) -11/6 < x < -2/3
10) all possible numbers
The length of a rectangle is three times the width. The area of the rectangle is 108 sq. inches what’s the triangles width?
Answer:ÑÑÑÑÑÑÑÑÑññÑÑÑÑññññññÑÑÑÑÑÑÑÑÑñÑÑÑÑññ
Step-by-step explanation:
Answer the question based on the data in the two-way table.
Gender Grades
Below
Average Above
Average Total
Boy 14 23 37
Girl 16 22 38
Total 30 45 75
Which statement is true?
A.
P(boy|above average grades) = P(boy)
B.
P(above average grades|boy) = P(above average grades)
C.
P(boy|above average grades) P(above average grades)
D.
P(above average grades|boy) = P(boy)
