Answer: x=15/19 =0.789
Step-by-step explanation: -12*x+1-(7*x-14)=0
-19x+15 = 0
Subtract 15 from both sides of the equation :
-19x = -15
Multiply both sides of the equation by (-1) : 19x = 15
Divide both sides of the equation by 19:
x = 15/19 = 0.789
x = 15/19 = 0.789
The stone's height (in meters above the water), I seconds after Ricardo threw it, is modeled by
w(x) = -5(x – 8)(x +4)
How many seconds after being thrown will the stone reach its maximum height?
seconds
Answer: 2 seconds
-5(x-8) (x+4)
x-8=0 or x+4=0
x=8. or x=-4
Now we now the 2 x.
8+ -4/2 = 2 seconds
Use the Distance Formula to find the distance between (−3, 7) and (8, −6) , rounded to the nearest hundredth.
Answer:
d= 17.03
Step-by-step explanation:
[tex]d=\sqrt{ (x_{2}-x_{1})+(y_{2}-y_{1})^{2}}\\\\d=\sqrt{(8--3)+(-6-7)^{2}}\\\\d=\sqrt{(11)+(-13)^{2}} \\\\d=\sqrt{121+169}\\\\d= \sqrt{290} \\\\d=17.03[/tex]
what is a compound interest
Answer:
Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest. It is the result of reinvesting interest, rather than paying it out, so that interest in the next period is then earned on the principal sum plus previously accumulated interest
Step-by-step explanation:
Please mark as brainliest
Answer:Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest.
Step-by-step explanation:
5x - 3(x+1) = 2x - 3
Step-by-step explanation:
taking L.H.S
5x-3(x+1)
5x-3x-3
2x-3
proved
Answer:
True for all x
Step-by-step explanation:
Add similar elements 2x-3=2x-3
Add 3 to both sides
Simplify 2x=2x
Subtract 2x from both sides
Simplify 0=0
Both sides are equal True for all x
For each sequence, find the first 4 terms and the 10th term.
A) n+5
B)2n-1
Answer:
see explanation
Step-by-step explanation:
(a)
To find the first 4 terms substitute n = 1, 2, 3, 4 into the n th term formula.
a₁ = 1 + 5 = 6
a₂ = 2 + 5 = 7
a₃ = 3 + 5 = 8
a₄ = 4 + 5 = 9
For the 10 th term substitute n = 10, that is
a₁₀ = 10 + 5 = 15
The first 4 terms are 6, 7, 8, 9 and the 10 th term is 15
(b)
Substitute n = 1, 2, 3, 4 and 10 into the n th term formula
a₁ = 2(1) - 1 = 2 - 1 = 1
a₂ = 2(2) - 1 = 4 - 1 = 3
a₃ = 2(3) - 1 = 6 - 1 = 5
a₄ = 2(4) - 1 = 8 - 1 = 7
a₁₀ = 2(10) - 1 = 20 - 1 = 19
The first 4 terms are 1, 3, 5, 7 and the 10 th term is 19
If (72)x = 1, what is the value of x?
Answer:
x= 1/72 or in decimal form 0.0138
Step-by-step explanation:
the 8 is repeating
Answer:
1/72
Step-by-step explanation:
0.02 divided by 924.3
PLEASE HELP
Answer:
0.00002163799
Step-by-step explanation:
Answer:
0.00002163799
Step-by-step explanation:
At top speed, a rabbit can cover 6 miles in 12 minutes. If a rabbit could
continue at this rate indefinitely, how long would it take the rabbit to
cross the 220-mile expanse of the Mojave Desert?
Answer:
440 minutes
Step-by-step explanation:
i just multiplied by 2
What is the slope of the line passing through (16, -2) and (-30, 6)?
[tex]m=\frac{\Delta y}{\Delta x}=\frac{-2-6}{16-(-30)}=\frac{-8}{46}=\boxed{-\frac{4}{23}}[/tex].
Hope this helps.
Solve each equation algebraically. Show work. #1,#4,and #6
Answer:
In order to solve these, you must combine your variable terms and move them till they are isolated from your constants. Divide until the variable is alone on one side.
Answer:
1. 7
Step-by-step explanation:
1. 8y= 37+ 35
Subtract 3y from both sides of the equation:
8y - 3y = 3y + 35 - 3y
simplify:
combine like terms
than combine like terms again
5y= 35
Divide both sides of the equations by the same term:
5y = 35
[tex]\frac{5y}{5} = \frac{35}{5}[/tex]
simplify:
cancel terms that are in both the numberator and denominator
divide numbers
7
Solve for x: 5(x + 3) = 4(x − 3) plz need help fast
Answer:
The answer is either5x+3 = 4x-3
Answer:
x = -27
Step-by-step explanation:
5 ( x + 3 ) = 4 ( x - 3 )
5 times x, 5 times 3, 4 times x, 4 times -3 =
5x +15 = 4x -12
Subtract 15
5x +15 -15 = 4x -12 -15=
5x = 4x -27
Subtract 4x
5x -4x = 4x -4x -27 =
1x = -27
Divide
1x/1 = -27/1 =
x = -27
Find f (2) - 4 using the following equation.
f(x) = 5x – 2
f (2) - 4 =
What are the y-intercept and the x-intercept:
y=4x-4
Answer:
X=1
Step-by-step explanation:
0=4x-4
-4x=-4
-4x/-4=-4/-4
x=1
f(x)= |x|; translation 3 units to the right followed by a translation 2 units up
Answer:
What is the question??
Step-by-step explanation:
I am confused.
4 × (1,351 - 381)
Which of the following is true about the expression above?
A.
The given expression is 4 more than (1,351 - 381).
B.
The given expression is 4 times as large as (1,351 - 381).
C.
The given expression is 4 times smaller than (1,351 - 381).
D.
The given expression is 4 less than (1,351 - 381).
Answer:
B
Step-by-step explanation:
The multiplication symbol is often referred to as "____ times as large" when written in text form
8 times 10^5 + 5 times 10^4 = ? In scientific notation
Answer:
It's 8.5*10^5
Step-by-step explanation:
Given the following functions f(x)
============================================
Work Shown:
[tex]g(x) = \frac{(x-1)^2}{3}\\\\g(f(x)) = \frac{(f(x)-1)^2}{3}\\\\g(f(x)) = \frac{(1+\sqrt{3x}-1)^2}{3}\\\\g(f(x)) = \frac{(\sqrt{3x})^2}{3}\\\\g(f(x)) = \frac{3x}{3}\\\\g(f(x)) = x\\\\[/tex]
The idea is to start with g(x) and then replace every x with f(x). From there you plug in f(x) = 1+sqrt(3x) and simplify.
Look at the attachment for the question please hurry!!!
Answer:
Neither
Step-by-step explanation:
The two lines going through those points to not intersect at a 90-degree angle.
Evaluate the following expression when t= 2 .
t² – 44 - 4
Help please
Answer:
-44
Step-by-step explanation:
So you want to plug 2 in for t, so the equation should now look like:
[tex]2^{2}[/tex] - 44 - 4
No all you have to do is solve
[tex]2^{2}[/tex] = 4
4 - 44 = -40
-40 - 4 = -44
Answer:
-44
Step-by-step explanation:
t=2, t² - 44 - 4
1. substitute in the value to the variable: 2² - 44 - 4
2. using PEMDAS, solve the equation: 2² - 44 - 4 = 4-44-4 = -40-4= -44
(evaluate the exponent, then subtract)
Find the coordinates of the midpoint of the segment whose endpoints are H(7,8) and (9,14)
Answer:
(8, 11)Step-by-step explanation:
Given points
(7,8) and (9,14)Midpoint is
((7 + 9)/2, (8 + 14)/2) =(16/2, 22/2) = (8, 11)Each year, votes are cast for the rookie of the year in a softball league. The voting results for the top three finishers are shown in the table below. How many points is a third-place vote worth?
Answer:
A third place vote is worth 1 point
Step-by-step explanation:
Let the number of points for a first place vote be x, number of points for a second place vote be y and the number of points for a third place vote be z.
So, by multiplying the number of points by the number of what the point is worth and adding all together, we shall have the total points;
Hence, we have the following equation systems;
23x + 5y + z = 131
5x + 17y + 4z = 80
x + 5y + 15z = 35
These are the three equations we need to solve simultaneously to get the value of z
From equation 3, x = 35 -5y -15z
Insert this into the first two equations;
23 ( 35 -5y -15z) + 5y + z = 131
5(35-5y-15z) + 17y + 4z = 80
805 - 115y -345z + 5y + z = 131
805-131 = 115y + 345z -5y - z
674 = 110y + 344z ••••••••••(*)
The second equation now becomes the following;
5(35-5y-15z) + 17y + 4z = 80
175 -25y -75z + 17y + 4z = 80
175-80 = 25y + 75z -17y -4z
95 = 8y + 71z
8y + 71z = 95 •••••••••••(**)
So we have to solve x and xx simultaneously;
110y + 344z = 674
8y + 71z = 95
110/8 = 13.75 , so multiply equation xx by 13.75 and equation x by 1
110y + 344z = 674
110y + 976.25z = 1306.25
Subtract equation xx from x
(976.25z - 344z) = (1306.25 -674)
632.25z = 632.25
z = 632.25/632.25
z = 1
Natalie budgets $146 for yoga training. She buys a yoga mat for $10 and spends $9 per day on yoga classes. Which inequality represents the number of days, d, that Natalie can take classes and stay within her budget?
Ally works in a shop for $18 per hour. She is not allowed to work more than 40 hours a week but has to work at least 20 hours. State a reasonable domain for this problem.
Answer:
Hi there!
The domain is:
20<=x<=40
Step-by-step explanation:
This states that:
x>=20
x<=40
Which fits the problem!
Hope this helps
For a given function f(x) we define the domain as the set of possible values of x that we can use in the function.
Here we will find that the domain is D: [20h, 40h]
We know that Ally wins $18 per hour, and she has two restrictions:
She cant' work more than 40 hours.
She needs to work at least 20 hours.
Then her weekly salary can be written as:
s(x) = $18*x
Where x is the number of hours that she works each week.
With the above restrictions we have:
20h ≤ x ≤ 40h
Then the domain is:
D: [20h, 40h]
If you want to learn more, you can read:
https://brainly.com/question/16875632
John’s truck used 22 gallons of gasoline while traveling 175 miles. Which expression can be used to determine the truck’s miles per gallon fuel consumption?
Mi/gal.
Or In this case, the correct answer would be:
22/175
Miles per gallon basically means how many miles in one gallon.
So miles dived by gallon
If this helped, please mark branliest.
Answer:
Mi/gal
Step-by-step explanation:
I think. I’m not sure.
Mario is walking away from a motion detector at a rate of 1.5 feet per second. He started recording his distance from the motion detector when he was 2 feet in front of the motion detector. Fill in the blank in the sentence below. Mario is 11 feet from the motion detector at ____ a seconds
Answer:
6 seconds
Step-by-step explanation:
Initial distance of Mario from motion detector = 2 ft
Speed of Mario = 1.5 ft/sec
Total distance of Mario from motion detector = 11 ft
Total distance moved by Mario while walking at the rate of 1.5 ft/sec = 11 - 2 = 9 ft
Given that:
Distance = 9 ft
Speed = 1.5 ft/sec
Formula:
[tex]Distance = Speed \times Time[/tex]
[tex]\Rightarrow 9 =1.5 \times Time\\\Rightarrow Time = \dfrac{9}{1.5}\\\Rightarrow Time = \bold{6\ sec}[/tex]
So, at 6 seconds, Mario will be 11 ft from the motion detector.
Solve the equation.
-10x + 1 + 7x = 37
O x= -15
O x= -12
O x = 12
O x = 15
What is z?
A. 54
B. 92
C. 88
D. 93
117 87 39 48 44 87
Help please I will give brainliest!
Answer:
I believe it would be $1.25
Step-by-step explanation:
Since a lot of people bought doughnuts, that would probably be what most of them are spending their money on.
In a bag of trail mix, for every 9 peanuts there are 7 pieces of chocolate. Write the ratio
of chocolate to peanuts.
Answer:
9 /9 + 7
= 56.25%
5.444444444444444444
5 if rounded
Step-by-step explanation:
Question Help
5.2.36-T
When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 41 batteries and determine whether each is within specifications. The entire shipment is
accepted if at most 3 batteries do not meet specifications. A shipment contains 7000 batteries, and 3% of them do not meet specifications. What is the probability that this whole shipment will be accepted? Will almost
all such shipments be accepted, or will many be rejected?
The probability that this whole shipment will be accepted is 0.9660
(Round to four decimal places as needed)
The company will accept 96.6 % of the shipments and will reject 34% of the shipments, so almost all of the shipments will be accepted
(Round to two decimal places as needed.)
Answer:
Probability that the whole shipment will be accepted = 0.9660
96.60% of the shipment will be accepted
Almost all the shipments will be accepted
Step-by-step explanation:
We are given;
n = 41
p = 3% = 0.03
x = 3
This is a binomial probability question and we will use the formula;
P(X = x) = [n!/(x!(n - x)!)] × p^(x) × (1 - p)^(n - x)
The probability that the whole shipment will be accepted is given by the form;
P(X ≤ 3) = P(0) + P(1) + P(2) + P(3)
P(3) = [41!/(3!(41 - 3)!)] × 0.03³ × (1 - 0.03)^(41 - 3)
P(3) = 0.09046
P(2) = [41!/(2!(41 - 2)!)] × 0.03² × (1 - 0.03)^(41 - 2)
P(2) = 0.22496
P(1) = [41!/(1!(41 - 1)!)] × 0.03¹ × (1 - 0.03)^(41 - 1)
P(1) = 0.36373
P(0) = [41!/(1!(41 - 0)!)] × 0.03^(0) × (1 - 0.03)^(41 - 0)
P(0) = 0.28684
Thus;
P(X ≤ 3) = 0.28684 + 0.36373 + 0.22496 + 0.09046
P(X ≤ 3) = 0.96599 ≈ 0.9660
It means that 96.60% will be accepted