Step-by-step explanation:
-9x+15=3(2-x)
expand the bracket by the right hand side6-6x
2. collect like terms
-9x+15= 6-6x
15-6 = 6x+9x
11= 15x
3. divide both sides by the coefficient of X which is 15
x= 11/15
Determine the derivative of f(x) = -5x+3x from first principles first Calculate
Answer:
The derivative of the function f(x) = -5x+3x is ----> -2
Step-by-step explanation:
Theodore recently hired a contractor to do some necessary work. On the final bill, Theodore was charged a total of $715. $315 was listed for parts and the rest for labor. If the hourly rate for labor was $50, how many hours of labor was needed to complete the job?
Answer:
Hours of labor needed = 8 hour
Step-by-step explanation:
Given:
Amount total charged = $715
Listed amount = $315
Hourly rate for labor = $50
Find:
Hours of labor needed
Computation:
Total amount of labour = Amount total charged - Listed amount
Total amount of labour = 715 - 315
Total amount of labour = $400
Hours of labor needed = Total amount of labour / Hourly rate for labor
Hours of labor needed = 400 / 50
Hours of labor needed = 8 hour
which value of -7(x2-6)+2y when x=2 and y=6
Answer:
Solution
= -7 (x2 -6) +2y
= -7 ( 2*2 - 6 ) + 2 * 6
= -7 ( 4 - 6) + 12
= -7 - 2 + 12
= - 9 + 12
= 3
I hope this help u :)
Can someone please help me with this I don't understand take your time if you can explain it
Need help with this, don't understand it. we weren't taught how to do this
9514 1404 393
Answer:
A, C, D, E
Step-by-step explanation:
Any relation that is different from a straight line with a defined constant slope will be a relation that is either or both of ...
not a functionnot linear__
a) degree 3, not linear
b) a linear function
c) a vertical line with undefined slope, not a function
d) a curve opening downward, not linear
e) a line with a bend in the middle, not linear
f) a linear function
What is 12x12 inch Square and 3/4 inch pixels?
express 0·4393939... as a fraction in its lowest term
Answer:
x= 439/999
Step-by-step explanation:
let x= 0.439439.... -> eq.1
1000x= 439.439439.... -> eq.2
eq.2-eq.1 => 1000-x= 439.439....-0.439439...
999x= 439
x= 439/999
Answer:
[tex]\frac{29}{66}[/tex]
Step-by-step explanation:
We require 2 equations with the repeating digits 39 placed after the decimal point.
let x = 0.43939... ( multiply both sides by 10 and 1000 )
10x = 4.3939... → (1)
1000x = 439.3939... → (2)
Subtract (1) from (2) eliminating the repeating digits
990x = 435 ( divide both sides by 990 )
x = [tex]\frac{435}{990}[/tex] = [tex]\frac{29}{66}[/tex] ← in simplest form
f(x)=-5x-4 and g(x)= -3x-2, find (f-g)(x)
Answer:
Step-by-step explanation:
(-5x-4)-(-3x-2)
-5x-4+3x+2
-2x-2
-2(x+1)
Find the length of side x in simplest radical form with a rational denominator.
459
4
95
Answer: 2 =
Submit Answer
HELP HELP HELP HELP PLSSSSSSS
Answer:
x= 2/2
Step-by-step explanation:
Can you find the area of the figure?
Answer:
Below
Step-by-step explanation:
First I found the area of the triangle on the right
A = bh/2
A = (9)(4.5) / 2
A = 20.25 ft^2
Next, the area of the rectangle in the middle
A = lw
A = (7.5)(9)
A = 67.5 ft^2
And now the area of the right triangle on the left
A = bh/2
A = (5)(9) / 2
A = 22.5 ft^2
Add em all up : 20.25 + 67.5 + 22.5 = 110.25 ft^2
Hope this helps!
a crate of medicine with a density of 167 pounds per cubic foot will ne shipped from the u.s to israel. what is the crates density in kilometers per cubic meter?
9514 1404 393
Answer:
2675.08 kg/m³
Step-by-step explanation:
[tex]\dfrac{167\text{ lb}}{\text{ft}^3}\times\dfrac{0.45359237\text{ kg}}{1\text{ lb}}\times\left(\dfrac{1\text{ ft}}{0.3048\text{ m}}\right)^3\approx\boxed{2675.08\text{ kg/m$^3$}}[/tex]
easy algebra question below first correct answer gets brainliest
Answer:
3
Step-by-step explanation:
Easy pythagorean theorum question.
The law states that "A squared plus B squared, equals C squared."
A and B are the two sides that border the 90 degree mark.
C is the hypotenuse or the longest side/diagonal.
Since we know C and A (I chose to use A because why not) we can fill in the equation with what we know
2^2 + ?^2 = [tex]\sqrt{13^{2} }[/tex]
So
4 + ?^2 = [tex]\sqrt{13^{2} }[/tex]
Since the 13 is already squared in side of a root, it stays as 13
4 + x^2 = 13
4 - 4 + x^2 = 13 - 4
x^2 = 9
x^2 root = root of 9
x = 3
The missing side is 3.
Or you could use an online calculator xD
2.
Lucy shares 42 marbles between her and her 6 friends. How many does each child?
pls help i want it now
Answer:
18kg is the correct answer
Help on this pls if you don’t mind
Answer:
(B) 3
Step-by-step explanation:
Remember that a parallel lines always have the same slope!
HELP PLEASE
i would really appreciate if someone answered this correctly!
Answer:
n-32
Step-by-step explanation:
edmentum
Choose the inequality that represents the following graph.
Answer:
it's most most probably option d becoz I studied In different way so... as per me d ... figure is quite diff but d
8c + 2(6 - 3c) - 7
How do I simplify this pls help
Answer:
2c+5
Step-by-step explanation:
Answer:
7c
Step-by-step explanation:
You do PEMDAS.
6-3c is 3c.
so itd be 8c + 2(3c) - 7
then id multiply 3c with 2 so its be6c.
then id add 6c with 8c, and its be 14c. then i subtract it with 7 and get 7c.
Help me with my work plz.
Answer:
(√366 - 3)/24
Step-by-step explanation:
Given the following:
cos∝ = √3/8 and sinβ = √3/3
Sin(∝-β) = sin∝cosβ - cos∝sinβ
Get sin∝
Since cos∝ = √3/8
adj = √3
hyp = 8
opp = √8² - (√3)²
opp = √64 - 3
opp = √61
Recall that sin∝ = opp/hyp
sin∝ = √61/8
Get cosβ
Since sinβ = √3/3
opp = √3
hyp = 3
adj =√3² - (√3)²
adj = √9-3
adj = √6
Recall that cosβ = adj/hyp
cosβ = √6/3
Substitute the gotten values into the formula
Sin(∝-β) = sin∝cosβ - cos∝sinβ
Sin(∝-β) = ( √61/8)(√6/3)- (√3/8)(√3/3)
Sin(∝-β) = √366/24 - √9/24
Sin(∝-β) = (√366 - 3)/24
What is the measure of angle x?
Answer:
93+52+x=180(sum of angels of a triangle)
145+x=180
x=180-145
x=35
Answer:
D. 35
Step-by-step explanation
Every triangle equals to 180 degrees
Add the 2 angles, 93 and 52 which equals 145
Now subtract 180 and 145
Therefore, you should get 35
In a basketball game, Noli scored 3 points by shooting the ball at a horizontal distance of 7 feet from the 10-feet-high hoop. Noli threw the ball 6 feet above the ground and the ball went twice as high as its initial horizontal distance from the hoop. What was the horizontal distance of the ball from Noli when it reached its maximum height?
Answer:
The horizontal distance of the ball from Noli when it reached maximum height is approximately 4.1 feet
Step-by-step explanation:
The horizontal distance from the hoop at which Noli threw the ball, y₀ = 7 feet
The height of the hoop = 10 feet
The height from which the ball was thrown = 6 feet
The height to which the ball is thrown = 2 × The initial horizontal distance from the hoop
∴ The height to which the ball is thrown, [tex]y_{max}[/tex] = 2 × 7 feet = 14 feet
The coordinates of points on the path of the ball are;
(0, 6), (7, 10), (x, 14)
The projectile in vertex form is y = a·(x - h)² + k
Where;
(h, k) = The x, and y-coordinate of the maximum height
The y-coordinate of the maximum height reached = k = 14 feet
The x-coordinate of the maximum height = h = The horizontal distance of the ball from Noli when it reached maximum height
At y = 6, x = 0, therefore, we get;
6 = a·(0 - h)² + 14 = a·h² + 14
6 = a·h² + 14
a = -8/h²
At y = 10, x = 7, we get;
10 = a·(7 - h)² + 14 = (-8/h²)·(7 - h)² + 14
10·h² = -8·(7 - h)² + 14·h²
-4·h² = -8·(7 - h)²
4·h² - 8·(7 - h)² = 0
-4·h² + 112·h - 392 = 0
h = (-112 ± √(112² - 4 × (-4) × (-392)))/(2 × -4)
h ≈ 4.1, or h ≈ 23.9
We reject the value, h ≈ 23.9 feet given that the distance between the where the Noli threw the ball and the hoop = 7 feet
Therefore, the horizontal distance of the ball from Noli at which the ball reached its maximum height, h ≈ 4.1 feet
9)Using appropriate properties , find 7
5
×
5
12
−
3
12
×
7
5
−
1
15
Answer:
-20940
Step-by-step explanation:
5 x 512 - 312 x 75 - 115
According to BODMAS ,
2575 - 23400 - 115
= -2090
Answer:
[tex] \frac{1}{6} [/tex]
Step-by-step explanation:
[tex] \frac{7}{5} \times \frac{5}{12} - \frac{3}{12} \times \frac{7}{5} - \frac{1}{15} = \frac{7}{5} ( \frac{5}{12} - \frac{3}{12} ) - \frac{1}{15} = \frac{7}{5} \times \frac{1}{6} - \frac{1}{15} = \frac{7}{30} - \frac{2}{30} = \frac{5}{30} = \frac{1}{6} [/tex]
You work at McDonalds making $9 per hour, this week you are scheduled to work
4:30pm - 10pm Wednesday - Saturday. How much will your gross pay be for the WEEK?
(you are on the clock the entire shift)
Answer:
$198
Step-by-step explanation:
Basically what I did was how long is 4:30 - 10:00 pm (5 hours and 30 minutes)
and multiplied that by your hourly rate. So 5 × 9 = 45, 9 ÷ 2 = 4.5, 45 + 4.5 = 49.5, 49.5 × 4 = 198. And since you don't clock out and this is your gross payment then that is the final answer
Ruth is touring New York City with her family. They want to visit the Empire State Building, Central Park, and Times Square before their dinner reservations at 7:10 P.M. They want to spend 1 hour and 25 minutes at the Empire State Building, 2 hours and 5 minutes in Central Park, and 50 minutes in Times Square. What is the latest time Ruth's family can start their tour in order to make it to dinner on time?
Pls help :)
Answer:
The latest time Ruth's family can start their tour in order to make it to dinner on time is 2:50 P.M
Step-by-step
Change:
7h10= 430 mins
1 hour and 25 minutes= 85 mins
2 hours and 5 mintues= 125 mins
- Total time Ruth wants to do before his dinner reservations:
85+ 125+ 50= 260 (mins)
- The latest time Ruth's family can start their tour in order to make it to dinner on time:
430- 260= 170 (mins)
Change: 170 mins= 2 hours and 50 minutes
Good luck!
18. If the ratio of males to females in each
of two different mathematics classes
is 5 to 4, is the ratio of males to
females still 5 to 4 if the classes were
considered as one large class instead
of two smaller classes?
Ra
Answer:
Yes, the ratio is still 5:4.
Step-by-step explanation:
If you have a class of 5 males and 4 females, both numbers can be multiplied to get an even bigger class but the same ratio.
For example:
5 x 5 = 25 males
4 x 5 = 20 females
The amount of males to females is 25:20 when simplified (divided by 5) gets you back to your ratio of 5:4. You also can't go under this because the two don't have a way to get simplified without going into decimals. And I don't think decimals are very good with the number of students.
Have a good day! :)
The point (-3,-1) is the midpoint of (x,y) and (5,4). Find the point (x,y).
Answer:
(-11, -6)
Step-by-step explanation:
Find the distance between the midpoint, (-3, -1) and (5, 4). This can be calculated by finding the difference between the x coordinates and y coordinates.
-3 - 5 = -8 (distance between x coordinates)
-1 - 4 = -5 (distance between y coordinates)
Find the point (x, y) by subtracting 8 from the midpoint's x value, and then subtracting 5 from the midpoint's y value.
-3 - 8 = -11
-1 - 5 = -6
So, the point (x, y) is (-11, -6)
What is the sum of the reciprocals of all the factors of 24. Both 1 and 24 are
considered to be factors of 24.
A: 59/24
B: 5/2
C: 65/24
D: 53/24
E: 41/24
Answer:
B
Step-by-step explanation:
1+2+3+4+6+8+12+24=60
60/24=5/2
so,B is the answer
The sum of all the reciprocals of the factors of 24 is 5/2.
What is fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.
The reciprocals of all the factors of 24 are;
1/1, 1/2, 1/3, 1/4, 1/6, 1/8, 1/12, 1/24
The sum of all the factors of 24:
1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24
Take LCM of the fractions:
1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24
= (24 + 12 + 8 + 6 + 4 + 3 + 2 + 1) / 24
1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24
= 60 / 24
Hence, the fraction:
1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24
= 5/2
Therefore, 5/2 is the sum of all the reciprocals of the factors of 24.
To learn more about the fractions;
brainly.com/question/10354322
#SPJ2
is -66 rational or irrational ?
Answer:
It's rational because it's not a decimal numbet
Find the amount and the compound interest on rupees 5000 for 2 years at 6% per annum, Interest payable yearly. Answer with full steps and formula NO BAD ANSWERS REQUIRED :D
Answer:
I. Amount = 5618 Rupees
II. Compound interest = 618 Rupees
Step-by-step explanation:
Given the following data;Principal = 5000 RupeesTime = 2 yearsInterest rate = 6%To find the compound interest;
Mathematically, compound interest is calculated using the formula;
A = P(1 + r)^t
Where;
A is the future value.P is the principal or starting amount.r is annual interest rate.t is the number of years for the compound interest.Substituting into the formula, we have;
A = 5000(1 + 0.06)^2
A = 5000(1.06)^2
A = 5000 * 1.1236
A = 5618 Rupees
Next, we would determine the compound interest using the formula;
C.I = A - P
C.I = 5618 - 5000
Compound interest (C.I) = 618 Rupees
math is a bummer bro
Answer:
alr let's start
one clock 12 hrs => 360 °
so 1hr=> 30°
now visualise clock with struck 8
between 12 and 8 from smaller angle we get that there are 4 hrs in between so
4 × 30 = 120°
done Dana done done
Answer:
ANGLE=120°
SEE THE IMAGE FOR SOLUTION