A(X)=(7-2x)(x+5)-(21-6x)(2x-1)
A(X)=(7x+35-2x²-10x)-(42x-21-12x²+6x)
A(X)= -2x²-3x+35+12x²+48x-21
A(X)=10x²+45x+14
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:
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
Find an explicit rule for the nth term of the sequence.
-4, -8, -16, -32, ...
A) an = -4 • 2n - 1
B) an = 2 • -4n + 1
C) an = 2 • -4n
D) an = -4 • 2n
Answer:
An explicit rule for the nth term of the sequence will be:
[tex]a_n=-4\cdot \:2^{n-1}[/tex]
Thus, option (A) is true.
Step-by-step explanation:
Given the sequence
[tex]-4, -8, -16, -32, ...[/tex]
A geometric sequence has a constant ratio r and is defined by
[tex]a_n=a_0\cdot r^{n-1}[/tex]
Computing the ratios of all the adjacent terms
[tex]\frac{-8}{-4}=2,\:\quad \frac{-16}{-8}=2,\:\quad \frac{-32}{-16}=2[/tex]
As the ratio 'r' is the same.
so
[tex]r=2[/tex]
as
[tex]a_1=-4[/tex]
Hence, the nth term of the sequence will be:
[tex]a_n=a_0\cdot r^{n-1}[/tex]
substituting the values [tex]r=2[/tex] and [tex]a_1=-4[/tex]
[tex]a_n=-4\cdot \:2^{n-1}[/tex]
Therefore, an explicit rule for the nth term of the sequence will be:
[tex]a_n=-4\cdot \:2^{n-1}[/tex]
Thus, option (A) is true.
3x - 4y = 32
5x+2y = 10
Answer:
Point Form: ( 4 , − 5 )
Equation Form: x = 4 , y = - 5
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form: ( 4 , − 5 )
Equation Form: x = 4 , y = - 5
Answer:
(4, - 5)
Step-by-step explanation:
3x - 4y = 32 ........ (1)
5x + 2y = 10 ....... (2)
(2) × 2 + (1)
13x = 52 ⇒ x = 4
3(4) - 4y = 32 ⇒ y = - 5
(4, - 5)
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.
A student collected monetary pledges for a fundraiser. One donor pledged to contribute $5 for each mile walked by the student during the fundraising walk up to a maximum of six miles.
A. is the situation continuous or discrete
B.write the domain and range of the situation
Answer:
A. The situation is discrete B. i. { x : 0 ≤ x ≤ 6; x ∈ Z} ii. { C = 5x : 0 ≤ C ≤ 30; C ∈ Z}
Step-by-step explanation:
A. The situation is discrete since we have integral values for the amount paid per mile walked. The amount per mile is $5 and is only paid if a complete mile is walked. So, it is a discrete situation.
B. i. Since 0 miles represents 0 distance and the student walks a maximum of 6 miles, let x represent the distance walked. So the domain is 0 ≤ x ≤ 6 where x ∈ Z where Z represent integers.
{ x : 0 ≤ x ≤ 6; x ∈ Z}
ii. Since at 0 miles the amount earned is 0 miles × $5 per mile = $ 0 and at the maximum distance of 6 miles, the amount earned is 6 miles × $5 per mile = $ 30, let C represent the amount donated in dollars. So the range is 0 ≤ C ≤ $ 30 where C = 5x.
{ C = 5x : 0 ≤ C ≤ 30; C ∈ Z}
If a video game was 10% off and the amount of the discount was $6 what was the original price?
Answer: the original price was $60! <3
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
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.
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.
Learn more about expressions here:
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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?
What is the same value as 40% of 84 ??
Answer:
33.6
Step-by-step explanation:
thats what 40% of 84 is x.
Answer: 33.6
explanation: Convert 40% to a decimal and multiply that number by 84
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
Find the length of side x in simplest radical form with a rational denominator.
WILL GIVE BRAINLIEST!!!
Answer:
x=3
Step-by-step explanation:
The triangle has angles 30,60,90
In this type of right triangle, the ratio of the sides is 1:square root of 3:2
In this type of triangle, the square root of 3 is equal to the 1 in the ratio above because it is across from the angle 30
With this, we multiply the ratio at the top by the square root of 3
since x is across the angle 60, we multiply square root of 3 by the square root of 3 which equals 3.
I hope this makes sense
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4b + 6 = 2 - b + 4
b = -2
b = 0
b = 4
b = 6
What do variables and function have in common
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
What is 35/4 simplified, or as a mixed number
Answer:
8 3/4
Step-by-step explanation:
Please help me BRAINLEST!
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
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.
17 out of 25 students carried blue mesh backpacks. What percent of the students had blue mesh backpacks?
Answer:
68
Step-by-step explanation:
multiply 17 by 4
Answer:
68%
Step-by-step explanation:
25 x 4= 100
17 x 4= 68
so 17/25 is equal to 68/100
Hope this helps!
s = ut + 1/2at squared
u = 10 a = -2 t = 1/2
Answer: 4.75
with u = 10, a = -2, t = 1/2
=> [tex]s=10.\frac{1}{2}+\frac{1}{2}. \frac{(-2).1}{4}=5-\frac{1}{4}=\frac{19}{4}=4.75[/tex]
Step-by-step explanation:
What is the slope of 3x-2y=7?
Answer:
The slope is -3/2
Step-by-step explanation:
Hope this helped have a good day!
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
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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SUPER EASY AND ILL GIVE BRAINLIEST
determine which of the following are functions
a. I and III only
b. II and IV only
c. II, III, and IV only
d. I, II, III and IV
Answer:
I and III only
Step-by-step explanation:
Answer:
2 and 5
Step-by-step explanation:
Make sure you use the vertical line to determine what is a function
Please show all work
Xavier ran 2.5 miles in 12 minutes. How long will it take him to run 1 mile?
Answer:
4.8 minutes
Step-by-step explanation:
2.5/2.5=1
so
12/2.5=4.8
Answer:
4.8 minutes per mile
Step-by-step explanation:
Let mi be miles
Let min be minutes
2.5mi = 12min
Divide by side by the mile to get the unit rate
2.5/2.5 = 12/2.5
You will get 1 = 4.8
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:
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:
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: