Answer:
The solution to the system of equations is x = 4 and y = 2.
Step-by-step explanation:
From statement we know that the first line is [tex]y = 0.5\cdot x[/tex]. The second line is determined by knowing two distinct points and solving the resulting system of equations by definition of the equation of the line:
[tex](x_{1},y_{1}) = (3,1)[/tex] and [tex](x_{2}, y_{2}) =(-5,-7)[/tex]
[tex]3\cdot m + b = 1[/tex] (1)
[tex]-5\cdot m + b = -7[/tex] (2)
The solution of the system of equations is:
[tex]m = 1[/tex], [tex]b = -2[/tex]
The second line is represented by [tex]y = x-2[/tex]. And the resulting system of equations is:
[tex]0.5\cdot x -y = 0[/tex] (3)
[tex]x-y = 2[/tex] (4)
The soltuion to the system of equations is:
[tex]x = 4[/tex], [tex]y = 2[/tex]
The solution to the system of equations is x = 4 and y = 2.
Solve F(x) for the given domain. Include all of your work in your final answer. Submit your solution.
F(x) = x2 + 2
F(x + h)=
Answer:
fx=2x+2
fx-2x=2
Step-by-step explanation:
x(f-2)=2
x=2/f/2✓marks
Answer:
F ( x ) = x^2 + 2
Domain = R
F ( x - h ) = ( x - h )^2 + 2xh + h^2 + 2
soo uh who's good at math i mean really,if you plz tell me everything about it i just wanna get this over with
(I'm dumb btw)
Answer:
Your not dumb you probably just don't learn as fast as other people tell me what u need help on and ill try to explain it to u : )
Step-by-step explanation:
Please help me with this question! :)
Answer:
Y=2x+3 I think i´m not totally sure
Step-by-step explanation:
The cost of fencing a square garden at the rate of Rs.5 per
metre is Rs. 2000. Find the total length of the fence.
[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]
Cost per metre = Rs. 5
Total cost = Rs. 2000
Then total length of the fence = Rs.2000/Rs.5
= 400 metre
Total length of the fence = 400 metre
Si a/b=b/c=c/d=k ademas a/d=1/216 calcular b2/c2
pueden ayudarme con esto por favor, es urgente:(
Answer:
please mark me as brainlist
The value of the expression b²/c² is 46656.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can use the given equations to express a, b, c, and d in terms of k:
a/b = b/c = c/d = k
From a/d = 1/216,
we have:
a/d = k² / (c/d)
Substituting k = b/c and simplifying:
a/d = (b/c)² / (c/d)
a/d = b² / (c² x d)
Multiplying both sides by c².
(a/d) x c² = b² / d
Substituting k = c/d:
(a/d) x c² = b² / k
Substituting a/b = k and solving for b²/c².
a/b = k
a = k x b
b = a/k
b² = a²/k²
(b²/c²) = (a²/k²) / (a²/k² x (d/c)²)
(b²/c²) = 1 / (d²/k²)
Substituting k = c/d and simplifying:
(b²/c²) = d²
Substituting a/d = 1/216:
(b²/c²) = (216²)
Therefore,
The value of the expression b²/c² is 46656.
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The complete question is:
If a/b=b/c=c/d=k plus a/d=1/216 calculate b2/c2
Can you help me with this please, it's urgent?
A spherical hot air balloon has a diameter of 55 feet when the balloon is inflated the radius increases at a rate of 1.5 feet per minute. approximately how long will it take to inflate a balloon 2/3 of its maximum volume? use. 3.14 as pie
Answer: 46.90mins
Step-by-step explanation:
The given data:
The diameter of the balloon = 55 feet
The rate of increase of the radius of the balloon when inflated = 1.5 feet/min.
Solution:
dr/dt = 1.5 feet per minute = 1.5 ft/min
V = 4/3·π·r³
The maximum volume of the balloon
= 4/3 × 3.14 × 55³
= 696556.67 ft³
When the volume 2/3 the maximum volume
= 2/3 × 696556.67 ft³
= 464371.11 ft³
The radius, r₂ at the point is
= 4/3·π·r₂³
= 464371.11 ft³
r₂³ = 464371.11 ft³ × 3/4
= 348278.33 ft³
348278.333333
r₂ = ∛(348278.33 ft³) ≈ 70.36 ft
The time for the radius to increase to the above length = Length/(Rate of increase of length of the radius)
The time for the radius to increase to the
above length
Time taken for the radius to increase the length.
= is 70.369 ft/(1.5 ft/min)
= 46.90 minutes
46.90mins is the time taken to inflate the balloon.
anyone stressed?? vent to me. and (so this will count as a question)
Laura earns $115 a month babysitting. If she saves all of the
money she earns in June and July and uses it to buy a bicycle
that cost $158, how much money will she have left?
A. $230,00
B. $43.00
C. $60.00
D. $72.00
Answer:72
Step-by-step explanation:
115+115=230
230-158=72
If you add the 115 a month that she earns from babysitting, then add both the months pay together, than subtract 158(cost of the bicycle) by the total pay, you should get 72$
Answer: D. $72
Step-by-step explanation:
If she earns $115 a month and June and July is a combination of two months then we will have to find the amount she earn toegther in June and July by multiplying 2 by $115.
2(115) = 230
She earned $230 in those months, and if the bicycle cost $158 , then we will have to subtract $158 from $230 to find her remaining amount.
$230 - $158 = $72
PLEASE HELP ME OML
I HAVE A 13 IN MATH
{WHAT ARE THE ANSWERS TO THE 3 CIRCLED PROBLEMS}
Answer:
8. Undefined.
9. -3 (Square root of 3)
10. Undefined.
Step-by-step explanation:
For number 8 and 10, you can't take the square root out of a negative number. It's just not possible :)
Answer:
Number 8 is 8.7
Number 9 is -5.2
Number 10 is 8
Please gimme an answer ill give thanks, 5 starrs, and Brainliest if I can
Answer:
The slope is 5/3
Step-by-step explanation:
Slope is y/x so its 5/3 becuase you go up 5 and over 3. And it's an incline so the slope is positive.
Brainly deleted my answer the first time lol. Please mark brainliest if correct.
?!?!?!djsjsj?!?!?!?djsj
Need Answer ASAP I ONLY HAVE 5 min.
Answer:
B
Step-by-step explanation:
The answer is B since after cross multiplying 150 against all of the fractions you get 25.
Answer:
25
Step-by-step explanation
1/5 of 150 is 30
1/3 of 150 is 50
1/10 of 150 is 45
add all that together and get 125
150-125=25
- 12 x (- 8)
plz help ASAP
Answer:
Its 96 hope it helped :)
Step-by-step explanation:
Answer:
96x
Step-by-step explanation: (2 negatives make a positive)
1. multiply the common factors first
-12x (-8)
(-12)*(-8) = 96
2. now you bring down the X and multiply X to 96
x(96) = 96x
3. Use your graphing calculator to find the value of f'(0) for f(x) = cos(x) - eX. (4 points)
Answer:
-1
Step-by-step explanation:
Derivative of cos(x)=-sin(x)
Derivative of e^x=e^x
Derivative of cos(x)-e^x= - sin(x)-e^x
plug in 0 to the spots of x and you will get 1 because sin(0) is 0 e^0 is 1
0-1=-1
y is inversely proportional to x. Given that y = 12 and x = 6. Find the value of y when x = 8.
Answer:
9
Step-by-step explanation:
formula for inverse proportion is y = [tex]\frac{k}{x}[/tex]
k is the constant of probability
to find k,
y is 12, x is 6
12 = [tex]\frac{k}{6}[/tex]
so x = 12 × 6
∴ k is 72
so y = [tex]\frac{72}{8}[/tex]
∴ y is 9
is 4/3 = 8/6 a proportional?
Answer:
its b
Step-by-step explanation:
b
Answer:
Yes 4/=8/6 are proportional
If you look at the first fraction 4/3 and multiply 2 by the denomenator and numerator it will equal to 8/6 . Now to switch it up 8/6 divided by 2 is 4/3 so yes the t2 fraction are proportional.
Step-by-step explanation:
please help i’m so close to being done :(
Answer:39 i dont im 12 ps out
Step-by-step explanation:
After 3 years, a $1,500 investment is worth $1,680. What is the interest rate on the investment?
0.04 percent
2.0 percent
4.0 percent
37.3 percent
Answer:
0.04
Step-by-step explanation:
1680=1500+1500x3xr
1680-1500=1500x3xr
r=180/4500
r=0.04
Answer:
The answer is 4.0 percent
Step-by-step explanation:
I just answered that question and got it right
mathematics and social studies and ela and acdemic success and science
Answer:
is this a question?
Step-by-step explanation:
Answer:
that is a lot of things to be good at
Step-by-step explanation:
Need Answer ASAP only 5 min
Answer: 70
Step-by-step explanation:
1. Divide 528 by 264 to get 2
2. Do 2 times 35 to get 70
Describe the relationship between using the Distributive Property to simplify an expression and to factor an expression. Give an example to justify your answer.
Answer:
Step-by-step explanation:
To factor a polynomial, first identify the greatest common factor of the monomial terms. Then use the Distributive Property to rewrite the polynomial as the product of the GCF and the other parts of the polynomial. (Remember, the distributive property says that a(b + c) = a • b + a • c.)
To factor a polynomial, first identify the greatest common factor of the monomial terms. Then use the Distributive Property to rewrite the polynomial as the product of the GCF and the other parts of the polynomial
What is Number system?A number system is defined as a system of writing to express numbers.
The relationship between using the Distributive Property to simplify an expression and to factor an expression is given here.
The distributive property tells that
a(b-c)=ab-ac and a(b+c)=ab+ac
It means you can separate the common term and represent it as the factor.
Example 12x+4y
The factors of 12 are 4,3
The factor of 4 are 1,2,4
The common factor is 4.
12x+4y=4(3x+y)
We taken out the common factor and has distributive property.
Hence To factor a polynomial, first identify the greatest common factor of the monomial terms. Then use the Distributive Property to rewrite the polynomial as the product of the GCF and the other parts of the polynomial
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Ann, Brian and Carol share the cost of a car. Ann pays 25 of the cost, Brian pays 13 and Carol pays the rest.
a) What fraction of the cost does Carol pay?
b) Ann pays $1600 more than Brian. Find the total cost of the car.
Complete question :
Ann, Brian and Carol share the cost of a car. Ann pays 2/5 of the cost, Brian pays 1/3 and Carol pays the rest.
a) What fraction of the cost does Carol pay?
b) Ann pays $1600 more than Brian. Find the total cost of the car.
Answer:
4/ 15
8000
Step-by-step explanation:
A)
Fraction carol paid :
Total fraction = 1/1
Fraction paid by Ann and Brian = (2/5 +1/3)
(2/5 + 1/3) = (6 + 5) / 15 = 11/15
1 - 11/ 15 = 4/ 15
Ann = 2/5 ; Brian pays 1/3
Ann pay 1600 more than Brian
2/5 - 1/3 = (6 - 5) = 1/5
1/5 of amount = 1600
If :
1/5 = 1600
1 = x
1/5x = 1600
x = 1600 ÷1/5
Total amount = 8000
write the negation of the conclusion of the statement If the game is field hockey, then the game is a team sport.
Gayla draws a rectangle. Jared then draws a different rectangle by increasing both the length and the width by 5%. Lyda draws a third rectangle by increasing both the length and the width of Gayla’s by 5 inches. Are any of the resulting rectangles scale drawings of one another? List whose rectangles, if any, and explain how you know..
1/2
Step-by-step explanation:
Second rectangle and third rectangle are resulting rectangles scale drawings of one another
What is Area of Rectangle?The area of Rectangle is length times of width.
Given,
Gayla draws a rectangle.
Second rectangle:
Jared then draws a different rectangle by increasing both the length and the width by 5%.
Third rectangle:
Lyda draws a third rectangle by increasing both the length and the width of Gayla’s by 5 inches.
Let us assume 1 inches as 1 percentage.
So second rectangle and third rectangle are resulting rectangles scale drawings of one another
Hence, second rectangle and third rectangle are resulting rectangles scale drawings of one another
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A. Samantha
B. none
C. Esther
D. Polly
2x to the power 2 minus 5x+6 X=-2
Answer:
=(x-2)(x-3)
Step-by-step explanation:
This is what I got. I hope this can help you.
Which angles are adjacent angels?
Answer:
KJL and IJL
Step-by-step explanation:
What is 35/4 simplified, or as a mixed number
Answer:
8 3/4
Step-by-step explanation:
Please help me BRAINLEST!
For each triangle, check all that apply.
PHOTO ABOVE
⚠️TEST
Answer:
Step-by-step explanation:
Triangle A - Equilateral triangle because all the angles are equal which means all the sides will be equal.
Triangle B - Isosceles Triangle because 2 sides are equal (we know this because 2 of the angles are equal)
Triangle C - Equilateral triangle because all the sides are equal.
Triangle D - Scalene triangle because all the sides have different lengths.
Stephanie wants to find out how much a visit to an amusement park will cost her. The amusement park charges a $20 admission fee, as well as SO 50 for each nder. The expression 0.50r + 20 represents this situation Evaluate this expression when r = 15 Explain what this value means in terms of the context of Stephanie's visit to the amusement park
Answer:
Step-by-step explanation:I didn't mean to add
Answer:
$27.50 is the amount of money in total she has to pay.
Step-by-step explanation:
$27.50 means the amount of money total she has to pay for admission fee as well as for each nder.
What should the following equation be multiplied by in order to eliminate the fractions? x/2 + x/3 = 25/3
25
9
5
6
Answer:
6
Step-by-step explanation: