Answer:
Step-by-step explanation:
15x-6y=48
-6y=48-15x
y=-8+(15/6)x
y=(5/2)x-8
One of the legs of a right triangle measures 16 cm and its hypotenuse measures 20
cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
12.
Step-by-step explanation:
Use the Pythagorean theorem. 16^2+b^2=20^2. Multiply the exponents: 256+b^2=400. subtract 256 from 400=144. Therefore 144=b^2. the square root of 144 is 12.
help solve for x pt2.
Answer:
x p t^2
p = 0
t = 0
x = 0
Δ = 0
Paridad
extraño
d/dx(x p t^2) = p t^2
Step-by-step explanation:
PLEASE HELP! Find the accumulated value of an investment of $17,000 at 6% compounded annually for 13 years. (Please show work tho)
9514 1404 393
Answer:
$36,259.78
Step-by-step explanation:
The formula for compound interest is ...
A = P(1 +r/n)^(nt)
where principal P is invested at annual rate r for t years compounded n times per year.
Here, you have P = 17000, r = 0.06, n = 1, t = 13.
A = 17000(1 +0.06)^13 = 17000(2.13292826) = 36,259.78
The accumulated value after 13 years is $36,259.78.
Please help me with this anyone thank you
Answer:
y=x^2-11
y=6^2-11
6×6=36
36-11=35
y=35
Identify the construction that the figure represents
Answer:
Not sure if this will help but that looks like a bisection of angles BAC and TSR.
Help me!!! Please to solve this problem of o. Math
a) Given a function f(x) = 2x + 3. Find (a) f(1), (b) f(-5), (c) f(a), (d) f(a + 2) (e) f(b)?
b) let f(x) = x + 4 define a function in the closed interval of -55x55, find f(-2), f(3) and f(7).
a:-
f(x)=2x+3
[tex]\\ \rm\Rrightarrow f(1)=2(1)+3=2+3=5[/tex]
[tex]\\ \rm\Rrightarrow f(-5)=2(-5)+3=-10+3=-7[/tex]
[tex]\\ \rm\Rrightarrow f(a)=2a+3[/tex]
[tex]\\ \rm\Rrightarrow f(a+2)=2(a+2)+3=2a+4+3=2a+7[/tex]
[tex]\\ \rm\Rrightarrow f(b)=2b+3[/tex]
b:-
f(x)=x+4
[tex]\\ \rm\Rrightarrow f(-2)=(-2)+4=2[/tex]
[tex]\\ \rm\Rrightarrow f(3)=3+4=7[/tex]
[tex]\\ \rm\Rrightarrow f(7)=7+4=11[/tex]
Step-by-step explanation:
[tex]thank \: you[/tex]
What two numbers are between 3.15?
The options are:
a. 3.0 and 3.1
b. 3.1 and 3.2
c. 3.2 and 3.3
Be quick please, due in 10 minutes!
Answer:
b 3.1 and 3.2
Step-by-step explanation:
3.15 is the average number of 3.1 and 3.2, because
(3.1+3.2)/2=3.15
Find the complete factored form of the polynomial
30ab^4-5a^6
Answer:
5a(6[tex]b^{4}[/tex] - [tex]a^{5}[/tex])
Step-by-step explanation:
Given
30a[tex]b^{4}[/tex] - 5[tex]a^{6}[/tex] ← factor out 5a from each term
= 5a(6[tex]b^{4}[/tex] - [tex]a^{5}[/tex] ) ← in factored form
Wrapping a Package It takes 70 inches of ribbon to make a bow and wrap the ribbon
round a box. The bow takes 32 inches of ribbon. The width of the box is 14 inches. What
the height of the box?
-14 in. -
First subtract the amount the bow takes from the total:
70 - 32 = 38 inches
The width is 14 on top and bottom so subtract 14 x 2 = 28 from 38:
38-28 = 10
Divide 10 by the 2 sides:
10/2 = 5
The height is 5 inches.
(20+80 divided by 2x8) divided [(54 divided by 9+14)divided by 4]
Answer:
80
Step-by-step explanation:
Let's write out the equation:
8(20+80/2)/[(54/9+14)/4]
For the first part we get 8(100/2)
Then 50x8
Then 400
For the second part we have (6+14)/4 as we divide 54 by 9. PEMDAS
Then 20/4
Then 5
So our final answer is 400/5 which is 80.
Hope this helps!
The given mathematical statement can be written in the form of mathematical expression as -{x} = {(20 + 80)/(2 x 8)} ÷ [{54/(9 + 14)}/4].
What is function?A function is a relation between a dependent and independent variable.
We can write the examples of function as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is the mathematical statement as -
(20+80 divided by 2x8) divided [(54 divided by 9+14)divided by 4]
We can write the given statement in the form of mathematical expression as -
{x} = {(20 + 80)/(2 x 8)} ÷ [{54/(9 + 14)}/4]
Simplifying, we get -
{x} = {100/16} ÷ {54/23}/4
{x} = 100/16 ÷ 54/92
{x} = 100/16 x 92/54
{x} = 10.64
Therefore, the given mathematical statement can be written in the form of mathematical expression as -{x} = {(20 + 80)/(2 x 8)} ÷ [{54/(9 + 14)}/4].
To solve more questions on functions, visit the link below-https://brainly.com/question/30194223
#SPJ2
If f(x) = 2x ^ 2 + 3 and g(x) = x ^ 2 - 7 , find (f - g)(x) .
Answer:
x^2 + 10
Step-by-step explanation:
f(x) = 2x ^ 2 + 3
g(x) = x ^ 2 - 7
(f - g)(x) =2x ^ 2 + 3 - (x ^ 2 - 7 )
Distribute the minus sign
=2x ^ 2 + 3 - x ^ 2 + 7
Combine like terms
= x^2 + 10
PLEASE HELP
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Complete the inverse function for the function given below.
Answer:
[tex]f^{-1}[/tex](x) = 0.5x + 2
Step-by-step explanation:
let y = f(x) and rearrange making x the subject , that is
y = 2x - 4 ( add 4 to both sides )
y + 4 = 2x ( divide both sides by 2 )
[tex]\frac{y+4}{2}[/tex] = x
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x)
[tex]f^{-1}[/tex] (x) = [tex]\frac{x+4}{2}[/tex] = 0.5x + 2
Answer: F -1(x) = 0.5 x + 2
Step-by-step explanation:
Just took the test on edmentum and got a 100
Hunter assumed he would only get 64
problems correct on his test, but he
actually got 78 correct. What was his
percent error
Round to the nearest percent.
Answer:
22%
Brainliest, please!
Step-by-step explanation:
78 - 64 = 14
14 / 64 = 0.21875
= 22% (when rounded)
9.
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 + 2x = 15
A. 3, –5
B. 3.74, 4
C. 4, –4
D. 15, –17
Answer:
x = 3 , x = -5
Step-by-step explanation:
Given x^2 +2x=15 add 1 to both sides to get:
x^2 + 2x + 1 =16
(x+1)^2 = 16
x + 1 = ± [tex]\sqrt{16}[/tex] = ± 4
x = -1 ± 4
x = 3 or x = -5
The question is "find the lowest common multiple of 4 and 6"
with step by step explaination
Answer:
12
Step-by-step explanation:
4s multiples:
4,8,12,16,20,24
6s multiples:
6,12,18,24,30,36
lowest number that is a common multiple between both 4 and 6:
12
Answer: 2
Step-by-step explanation:
Q.5(b) The population {(P) in millions} of a country is estimated by the function, P=125e0.035t, t = time measured in years since 1990. (a) what is the population expected to equal in year 2000 (b) determine the expression for the instantaneous rate of change in the population (c) what is the instantaneous rate of change in the population expected to equal in year 2000.
Answer:
Hello,
Step-by-step explanation:
Q.5(b) The population {(P) in millions} of a country is estimated by the function, P=125e0.035t, t = time measured in years since 1990. (a) what is the population expected to equal in year 2000 (b) determine the expression for the instantaneous rate of change in the population (c) what is the instantaneous rate of change in the population expected to equal in year 2000.
[tex]P(t)=125*e^{0.035*t}\\a)\\P(2000)=125*e^{0.035*(2000-1990)}=177.38...\\\\b)\\P'(t)=125*0.035*e^{0.035*t}\\\\c)\\\\P'(2000)=125*0.035*e^{0.035*(2000-1990)}=6.2084...[/tex]
15men can complete a piece of work in25days. how many men should be added to complete the same work in15days.
Answer:
10 menStep-by-step explanation:
Amount of work done by 15 men is:
15 men *25 day = 15*25 man*daysSame work can be done by 25 men, in 15 days, so 10 more men should be added.
PLZ HELP I KINDA NEED THIS PLZ
Select the correct answer. The function f(x) = x2 is graphed above. Which of the graphs below represents the function g(x) = (x + 1)2?
A. W
B. X
C. Y
D. Z
Answer:
It's is C. Y
Step-by-step explanation:
There is the graph and you can see it by yourself :)
Sophie shares her cake with her friends. she gives Lionel a quarter and Helen half of the rest. what fraction remains for her
Answer:
one and a half quaters
Step-by-step explanation:
4/4 is a whole
The they take one 1/4
then that gives you 3/4
which is then 1.5/4 left for you
Answer:
3/8
Step-by-step explanation:
Hi! So what really helps me sometimes is to draw a circle and split it. I shaded 1/4 (Lionel's quarter) first. Now, there is 3/4 of the cake left. Helen has half of the rest, which means she has half of 3/4. 1/2 of 3/4 (which is basically 1/2 x 3/4) = 3/8. This means Helen has 3/8 of the cake. I then split my circle into eighths and shaded in 3. This left me with 3/8 of the cake left for Sophie. This means the fraction that remains for her is 3/8.
I hope this helped :)
How many times more ?
Answer:
1.3
Step-by-step explanation:
bc for each time x increases by 1, it multiplies by 1.3
i cant think of any other way to explain it
but i hope this helped :D
Answer:
1.3 times
Step-by-step explanation:
f(x)= 68 (1.3) ^x
it, means each year, the expected number of squirrels is 1.3 times, the number the year before.
x=0 so, f(0)=68
New x=1, so f(1)= 68(1.3)¹
= 68 × 1.3
f (1)= f(0) × 1.3
So, 1.3 times
OAmalOHopeO
Determine the factors of x^2 - 7x - 10.
O (x + 2)(x - 5)
O Prime
O (x-2)(x + 5)
O (x + 10)(x - 1)
Answer:
O Prime
Step-by-step explanation:
x^2 - 7x - 10
What two numbers multiply to -10 and add to -7
There are no two number that multiply to -10 and add to -7
Answer:
x^2 - 7x - 10
Think about it like this: What two numbers multiply to get -10 and add to get -7?
But no matter what we try, this doesn't work. And that's because x^2 - 7x - 10 is actually prime.
So "Prime" is the correct answer.
Let me know if this helps.
find 25th and 49th term of the sequence 50 ,46,42,38......
Answer: -46
Step-by-step explanation:
[tex]u_1=50=50-(1-1)*4\\u_2=46=50-(2-1)*4\\u_3=42=50-(3-1)*4\\...\\\\u_n=50-(n-1)*4\\\\\\u_{25}=50-(25-1)*4=-46\\\\\\Answer\ -46\\[/tex]
There are 1125 students in a school. If a student pays Rs. 300 as fees and
Rs. 100 as bus charge per month, how much money is collected in a month?
Given the function f(x) = x2 + 8x – 12, what is the
value of f(2)?
Answer:
f(2) = 8
Step-by-step explanation:
f(x) = x^2 + 8x – 12
Let x = 2
f(2) = 2^2 + 8*2 – 12
= 4 + 16 -12
=20-12
= 8
Answer:
[tex]f(x) = {x}^{2} + 8x - 12 \\ f(2) = (2)^{2} + 8(2) - 12 \\ = 4 + 16 - 12 \\ f(2) = 8[/tex]
I hope I helped you^_^
who can help me out with this one?
Answer:
(x + 1)² + (y - 2)² = 9
Step-by-step explanation:
Equation of the circle with center (h, k):
(x - h)² + (y -k)² = r² where r is radius
Center(-1 , 2) ; r =3
(x - [-1])² + (y - 2)² = 3²
(x + 1)² + (y - 2)² = 9
Line AB is perpendicular to line BC. What is the justification for the following statement?
m ABC = 90°
Definition of angle bisector
Definition of complementary angles
Definition of perpendicular lines
Definition of supplementary angles
Answer:
definition of perpendicular lines
By how much is 5 over 6 greater than 3 over 4
Answer:
By 1/12Step-by-step explanation:
5/6 - 3/4 = 10/12 - 9/12 = (10 - 9)/12 = 1/12In an atom, electrons have a negative charge and protons have a positive charge. One negative and
one positive cancel each other, just like zero pairs. An atom has 354 electrons and 139 protons.
What is the amount and type of charge?
Answer:
The charge is negative and the amount is 215
Step-by-step explanation:
Electrons are negative
-354
Protons are positive
+139
-354+139
-215
So
Electrons=-354Protons=+139Net charge
354-139-215Negative charge and the amount is 215
Which number line shows the solution to-3-(-1)
You want to decrease a biscuit recipe by half the recipe calls for 1 1/2 cups of milk how much milk would you use
Answer:
3/4 cup of milk.
Step-by-step explanation:
1 1/2= 6/4. 6÷2=3.
Answer:
3/4
Step-by-step explanation:
Half the recipe means multiply by 1/2
1 1/2 * 1/2
Change the mixed number to an improper fraction
(2*1+1)/2 * 1/2
3/2 * 1/2
3/4
