Step-by-step explanation:
since we need to multiply only one equation with something, elimination might be a good method here. we bring both equations to 4x terms and then subtract the second from the first equation :
4x + 2y = 6
- 4x - 12y = 20
-----------------------
0 14y = -14
y = -1
=> e.g. in the second original equation
x - 3×-1 = 5
x + 3 = 5
x = 2
1. (5 points) Suppose over the past 6 years, you have earn annual raises.
6
Three times your raise was 4%, twice you received only a 2% raise and one
you received a 10% raise. If your current salary is $85,000, what was your
salary before all of those raises?
9514 1404 393
Answer:
$66,027.66
Step-by-step explanation:
The multiplier for the salary with each raise is (1 + raise). That means the original salary is multiplied by ...
(1.04^3)×(1.02^2)×(1.10) = 1.28733935616 = k
Your original salary (O) satisfies ...
O×k = $85,000
O = $85,000/k ≈ $66,027.66 . . . original salary
In order to join a dance class at Dancing’s Lily’s Academy, you must pay a $335 annual fee plus $13.75 for each class you attend. You plan to spend $500 dollars on your dance classes. Write and solve an equation for how many dance classes you will take.
Answer:
12
Step-by-step explanation:
335 + 13.75x = 500
Subtract 335 from each side
13.75x = 165
Divide each side by 13.75
x = 12
You can attend 12 dance classes with $500.
9514 1404 393
Answer:
12 classes
Step-by-step explanation:
The total cost for c classes will be ...
335 + 13.75c = 500
13.75c = 165 . . . . . . . . . .subtract 335
c = 12 . . . . . . . . . . . divide by 13.75
You will take 12 classes.
help me does anyone know the answer to this? what is 4y+13=?
Answer:
I think Colorfulmusic is correct
Step-by-step explanation:
3.25 I'm pretty sure
write the value of the underlined digit in words 6,302,450? 3 being the underlined number.
Answer:
Three hundred thousand
Step-by-step explanation:
Hope this helps
mai owes the bank 60. she gets 85 for her birthday and deposits it into her account how much dose she now have in the bank
Answer:
if she pays the bank back it would be 25 but if she just deposited 85 then she has 85 in the bank
Step-by-step explanation:
Twice the sum of a certain number and 36 is 90?
Step-by-step explanation:
Let the number be x
According to the question
2(x+36)=90
2x+72=90
2x=90-72
2x=18
x=18/2
x=9
(1.2 times 10^9) divided by (3 times 10^5) in scientific notation
Answer:
[tex]4x \times {10}^{3} [/tex]
Step-by-step explanation:
[tex] \frac{1.2}{3} \times \frac{ {10}^{9} }{ {10}^{5} } [/tex]
[tex]0.4 \times {10}^{9 - 5} [/tex]
[tex]0.4 \times {10}^{4} [/tex]
[tex] = 4 \times {10}^{3} [/tex]
Please not bots due in hour!
Answer:
Range is 7 to 42
Step-by-step explanation:
Given the definitions of f(x) and g(x) below, find the value of g(f(-3)). f(x) = 5x + 11 g(x) = x2 + 4x – 11
Answer:
g(f(-3)) = -11
Step-by-step explanation:
First, we evaluate f(-3) and then plug that value into g(x) for x:
f(x) = 5x + 11
f(-3) = 5(-3) + 11 = -15 + 11 = -4
Therefore:
g(f(-3)) = (-4)^2 + 4(-4) - 11 = 16 - 16 - 11 = 0 - 11 = -11
Answer: -11
Step-by-step explanation:
Find the value of g(f(-3)) given the two equations:
f(x) = 5x + 11
g(x) = x² + 4x - 11
Plug -3 into equation f(x).
f(-3) = 5(-3) + 11
Solve for f(x).
-4 = f(-3)
Plug -4 into the equation of g(x).
g(-4) = (-4)² + 4(-4) - 11
Solve for g(x).
g(-4) = (16) + (-16) - 11
g(-4) = -11
The value of g(f(-3)) is -11.
if there was a group of ten people the probability of them being born on the same day of the same year is 1, true or false and why
Answer:
True
Step-by-step explanation:
For instance, twins are born on the same day but imagine ten people instead of two being born on the same day.
8 9/10 - 3 2/3 = Plz answer
Concept:- In mixed fractions, we will have one whole number and a proper fraction. So, first we should convert them into improper fractions, which has the numerator greater than the denominator. After, converting to that we should convert the unlike fractions to like fractions by the method of LCM of denominators. Then, we can sub all the fractions so that we can get the answer.
Explanation:
{8(9/10)} - {3(2/3)}
Convert all mixed fractions to proper fractions.
= {(80+9)/10} - {(9+2)/3}
Now, add the both numerators.
= (89/10) - (11/3)
LCM of 10 & 3 is 30.
= {(89*3)/(10*3)} - {(11*10)/(3*10)}
Now, multiply the numerator and denominator of all fractions.
= (267/30) - (110/30)
Write all numerators with common denominator.
= {(267-110)/30}
Subtract the fraction and write it in simplest form.
= 157/30
Write the obtained answer in the form of mixed fraction.
= {5(7/30)}.
also read similar questions: 5/7 + 3 2/5 = 5/9 + 2 4/7 = 6 2/6 + 4/11 = 10 2/3 + 5 1/4 = 9 1/2 + ....
https://brainly.com/question/25595033?referrer
What is a quartic function with only two real zeros atx x = 7 and x = 13
A. y = (x - 10) ^ 5 - 81 OR y = x ^ 5 - 20x ^ 4 + 92x ^ 3 + 34x ^ 2 - 20x + 91
B. Y= (x - 10) ^ 4 - 81 OR y = x^4 - 20x +91
C. y = (x - 3) ^ 4 - 41 OR y = 2x ^ 4 - 21x ^ 3 + 52x ^ 2 - 17x + 609
D. y = (x+ 8)^4 + 71 OR y = x^4 - 3x^3 + 7x^2 - 5x + 13
Answer:
b
Step-by-step explanation:
B. Y= (x - 10) ^ 4 - 81 OR y = x^4 - 20x +91
Plotting points in the four quadrants
Point S has the coordinates (6, -4)
Which point on the graph shows the reflection of point s across the y axis
Answer:
it's -4 is the answer by the way
A baseball team has 4 pitchers, who only pitch, and 12 other players, all of whom can play any position other then pitcher. For Saturday’s game, the coach has not yet determined which 9 players to use nor what the batting order will be, except that the pitcher will bat last. How many different batting orders at occur?
Answer::2,075,673,600 batting orders may occur.
Step-by-step explanation: A baseball team has 4 pitchers, who only pitch, and 12 other players, all of whom can play any position other then pitcher.
The points in the table lie on a line. Find the slope of the line
Answer:
click the button and use it as and use it
math
(5 points) will mark brainliest!! pls help :)
Answer: [tex]\frac{tv^3}{u^8}\\\\\\[/tex]
This is the fraction tv^3 all over u^8
=========================================================
Work Shown:
[tex]\frac{t^2uv^7}{tu^9v^4}\\\\\\\frac{t^2}{t}*\frac{u}{u^9}*\frac{v^7}{v^4}\\\\\\t^{2-1}*u^{1-9}*v^{7-4}\\\\\\t^{1}*u^{-8}*v^{3}\\\\\\\frac{t}{1}*\frac{1}{u^8}*\frac{v^3}{1}\\\\\\\frac{t*1*v^3}{1*u^8*1}\\\\\\\frac{tv^3}{u^8}\\\\\\[/tex]
In the third step, I used the rule (a^b)/(a^c) = a^(b-c)
To make the negative exponent turn positive, we apply the reciprocal to the base.
pls help me solve the missing answers thanks!
Answer: I'll give you formula
Step-by-step explanation: circumference = 2 x π x radius
radius = diameter÷2 area = π × radius²
If √(0.09×0.09×x) = 0.09 × 0.09×√z, then the value of x/y is____.
Given that-
√(0.09×0.09×x) = 0.09×0.09×√z
On squaring both sides then
⇛[√(0.09×0.09×x) ]² = (0.09×0.09×√z)²
⇛ 0.09×0.09×x= (0.09)²×(0.09)²×(√z)²
⇛ (0.09)² × x = (0.09)²×(0.09)²×z
⇛ (0.09)² × x/z = (0.09)²×(0.09)²
⇛x/z = (0.09)²×(0.09)²/(0.09)²
⇛x/z = (0.09)²
⇛x/z = 0.09×0.09
⇛x/z = 0.0081
Answer:- Hence the value of x/z will be 0.0081 r respectively.
Ahmad bought 11 pounds of sugar for $6.
How many dollars did he pay per pound of sugar?
help!!!!!!!!!!!!!!!!!!
Looking at the equation y=(x+3)^2-4, determine which direction in which the parabola is open.
up
down
left
right
link/random words or letters as answer = report
Answer:
parabola opens up
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
• If a > 0 then parabola opens up
• If a < 0 then parabola opens down
y = (x + 3)² - 4 ← is in vertex form
with a = 1
Since a > 0 then parabola opens up
Evaluate the triple integral.
E
y dV, where E = {(x, y, z) | 0 ≤ x ≤ 6, 0 ≤ y ≤ x, x − y ≤ z ≤ x + y}
The definition of the set E gives you a natural choice for the limits in the integral:
[tex]\displaystyle \iiint_E y \, dV = \int_0^6 \int_0^x \int_{x-y}^{x+y} y \, dz \, dy \, dx[/tex]
Computing the integral, we get
[tex]\displaystyle \iiint_E y \, dV = \int_0^6 \int_0^x y ((x+y)-(x-y)) \, dy \, dx = 2 \int_0^6 \int_0^x y^2 \, dy \, dx[/tex]
[tex]\displaystyle \iiint_E y \, dV = 2 \int_0^6 \frac13 (x^3 - 0^3) \, dx = \frac23 \int_0^6 x^3 \, dx[/tex]
[tex]\displaystyle \iiint_E y \, dV = \frac23 \cdot \frac14 (6^4 - 0^4) = \boxed{216}[/tex]
The evaluation of the triple integral ∭E y dV, where E = {(x, y, z) | 0 ≤ x ≤ 3, 0 ≤ y ≤ x, x − y ≤ z ≤ x + y} is 216
What is triple integral?Triple integral integrates the integrand over three dimensions.
Given that:
E = {(x, y, z) | 0 ≤ x ≤ 3, 0 ≤ y ≤ x, x − y ≤ z ≤ x + y}
Evaluating the integral:
[tex]I = \int \int \int _E y \: dV[/tex]
[tex]I = \mathlarger{\int_0^6 (\int_0^x (\int_{x-y}^{x+y} y\: dz)dy)dx}\\\\I = \int_0^6 (\int_0^x [yz]_{z=(x-y)}^{z=(x+y)}dy)dx\\\\I = \int_0^6 (\int_0^x y( (x+y) - (x-y)) \: dy)dx\\\\ I = \int_0^6 (\int_0^x y(2y) \: dy)dx\\\\I =2 \int_0^6 \left [\dfrac{y^3}{3}\right ]_{y=0}^{y=x} dx\\\\I = 2 \int_0^6 (x^3/3) dx\\\\I = \dfrac{2}{3} \left[\dfrac{x^4}{4} \right]_{x=0}^{x=6} = \dfrac{2}{3} \times \dfrac{6^4}{4} =216[/tex]
Thus, the evaluation of the triple integral ∭E y dV, where E = {(x, y, z) | 0 ≤ x ≤ 3, 0 ≤ y ≤ x, x − y ≤ z ≤ x + y} is 216
Learn more about triple integral here:
https://brainly.com/question/17206296
Please look at the picture.
Mort and George are 18 miles apart on a path when they start moving toward each other. Mort runs at a constant speed of 7 miles per hour, and George walks at a constant speed of 5 miles per hour. How long does it take until Mort and George meet?
Answer:
1 1/2 hours
Step-by-step explanation:
In one hour, the distance between them is reduced by 7+5 = 12 miles. At that rate, the 18 mile distance between them will be reduced to zero in ...
time = distance/speed
time = (18 mi)/(12 mi/h) = 3/2 h
It will take 1 1/2 hours until Mort and George meet.
12(6x + 10) + x = 9x + 5(1 – x) can u solve this?
Answer:
-115/69
Step-by-step explanation:
12(6x + 10) + x = 9x + 5(1 - x)
72x + 120 + x = 9x + 5 - 5x
73x + 120 = 4x + 5
69x = 5 - 120
69x = -115
x = -115/69
Graph the function below, to estimate the practical domain of the function.
=−0.0150912++6
A. 0≤≤71.5
B. 0≥≥71.5
Write the equation of the circle centered at (10, – 4) that passes through (14, 12).
Answer:
(x -10)² +(y +4)² = 272
Step-by-step explanation:
The equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
The center is given as (h, k) = (10, -4). We can find the value of r² using the "passes through" point coordinates:
(14 -10)² +(12 -(-4))² = r² = 16 +256 = 272
Then for the given center and the value of r² we found, the equation is ...
(x -10)² +(y +4)² = 272
Will mark brainliest if answer is correct.
The graph shows the absolute value parent function.
Which statement best describes the function?
A. The function is increasing when x>0
B. The function is never increasing
C. The function is always increasing
D. The function is increasing when x<0
Answer:
A. The function is increasing when x > 0Step-by-step explanation:
Given is an absolute value function f(x) = |x|
Its vertex is at origin, the function is decreasing at negative values of x and increasing at positive values of x:
f(x) = - x, when x < 0, the slope is - 1f(x) = x, when x > 0, the slope is 1Correct answer choice is A
Will give brainliest to whoever helps pls
Answer:
for me the picture is blurry sorry
Step-by-step explanation:
Answer:
-23
Step-by-step explanation: