Answer: Yes you will still get a true statement because 3 is the solution to the equation.
Step-by-step explanation:
Well substitute 3 for x into the equation and solve for to see if they equal each other.
12 = 5(3) - 3
12 = 15 - 3
12 = 12
So if you substitute 3 you get the solution .
Now solve for x in the real equation to see if you get 3.
4x + 12 = 9x -3
-4x -4x
12 = 5x -3
+3 +3
15 = 5x
x = 3
Sketch and shade the region in the xy-plane defined by the equation or inequalities. |x| < 7 and |y| < 2
Answer:
Here we have:
IxI < 7
This also can be written as:
-7 < x < 7
and:
IyI < 2.
As above, we can write this as:
-2 < y < 2.
Then the graph of this region will be a rectangular area, where the perimeter is a dashed line (because here we use the strictly smaller or strictly larger symbols)
Such that the vertical component goes from -2 to 2, and the horizontal component goes from -7 to 7.
The area would be the area inside that rectangle, where i did not shade it so it is easier to read.
Write an equation in slope intercept form for the line described. slope -1/2, passes through (0,5)
Answer:
y=-1/2x+5
Step-by-step explanation:
find how many natural numbers are there between 80 and 120
Answer:
40
Step-by-step explanation:
Natural numbers are numbers that occur commonly in nature and are whole non-negative numbers. Therefore, there are 40 natural numbers between 80 and 120.
Consider the differential equationy′′+3y′−10y=0.(a) Find the general solution to this differential equation.(b) Now solve the initial-value problem corresponding to y(0)=2 and y′(0)=10.
Answer:
Y= 2e^(5t)
Step-by-step explanation:
Taking Laplace of the given differential equation:
s^2+3s-10=0
s^2+5s-2s-10=0
s(s+5)-2(s+5) =0
(s-2) (s+5) =0
s=2, s=-5
Hence, the general solution will be:
Y=Ae^(-2t)+ Be^(5t)………………………………(D)
Put t = 0 in equation (D)
Y (0) =A+B
2 =A+B……………………………………… (i)
Now take derivative of (D) with respect to "t", we get:
Y=-2Ae^(-2t)+5Be^(5t) ....................... (E)
Put t = 0 in equation (E) we get:
Y’ (0) = -2A+5B
10 = -2A+5B ……………………………………(ii)
2(i) + (ii) =>
2A+2B=4 .....................(iii)
-2A+5B=10 .................(iv)
Solving (iii) and (iv)
7B=14
B=2
Now put B=2 in (i)
A=2-2
A=0
By putting the values of A and B in equation (D)
Y= 2e^(5t)
c.
A train is traveling 1 mile every 75 seconds. If the train continues at this rate, then how
far will it travel in two hours?
Answer:
96 miles.
Step-by-step explanation:
2 hours = 2*60*60 = 7200 seconds.
So the required distance = 7200/75
= 96 miles.
Answer:
96 miles
Step-by-step explanation:
i did this a few months ago (coincidence I think not)
Name: Graphing in the Coordinate Plane
PLS I NEED YOUR HELP
Basically all you have to do is go over (left from the center 5 spots) to -5 and up 3. You do x before y always. Then you put a p there because that is point p. I hope this helps you
One of the specialties at Dixie’s Cafe is vegetable stew, which simmers over a low flame all day. Since the cooking time is so long, Dixie must decide in the morning how many servings of the stew to cook for that night’s dinner service. Moreover, the stew cooked on a given day cannot be served the next day; it must be thrown away. Vegetable stew is the highest-profit item on the menu at Dixie's Cafe. It earns Dixie a profit of $8. Demand for in-flight meals Cumulative d Probability f(d) Probability F(d) 40 0.01 0.01 41 0.03 0.04 42 0.04 0.0843 0.05 0.1344 0.08 0.2145 0.09 0.346 0.12 0.42 47 0.13 0.55 48 0.17 0.7249 0.12 0.8450 0.08 0.9251 0.03 0.95 52 0.02 0.9753 0.02 0.01 54 0.99 1 serving, whereas all the other items earn a profit of $4. Customers who want stew but find it out of stock will order one of these other items. The ingredients for one serving of stew cost the Cafe $2.50. A) First suppose that the demand for stew on a given evening is normally distributed with a mean of 18 and a variance of 16. How many servings of stew should Dixie prepare in the morning? (Fractional servings are OK). What is the expected cost (ingredients and lost profit) of the optimal solution? B) Now suppose that the demand is distributed as an exponential random variable with mean 18. How many servings should Dixie prepare?
Answer:
what the hell i cant under stand u need to press enter more
Step-by-step explanation:
16. The price of an item will increase by RM4 every month. If the current price
is RM258, find its price in ten months' time.
Answer:
Sol:
The current price of item = RM258
The price that increases every month = RM4
Now,
It's price in ten month's line= Current price + 10 X increased price per month
= RM 258 + 10X RM4
=RM 258+ RM 40
= RM 298
Therefore, it's price in ten month's line will be RM 298
Rewrite 6(10 + 2) using the Distributive Property. Then simplify.
Answer:
72 simplified
Step-by-step explanation:
6 x 10 + 6 x 2
60 + 12 = 72
Answer:
[tex]\huge\boxed{\boxed{72}}[/tex]
Step-by-step explanation:
Hello.
This problem can be solved without using the Distributive Property; all we have to do is use... mental maths. :)
First, add 10 plus 2:
12
Now, multiply 12 times 6:
72
And we're done!
I hope it helps & have an outstanding day!
~ST2710 :)
The last one Please answer asap im still crying
Answer:
He has 12 ten dollar bills
Step-by-step explanation:
Let t = number of 10 dollar bills
f = number of fifty dollar bills
t+f = 25 since he has 25 bills
solving for f
f = 25 -t
Then we know he has 770 dollars
10t+50f = 770
Using f = 25-t in the above equation
10t + 50 ( 25-t) = 770
Distribute
10t+ 1250 - 50t = 770
Combine like terms
-40t+1250 = 770
subtract 1250 from each side
-40t - 1250-1250 = 770-1250
-40t = -480
divide each side by -40
-40t/-40 = -480/-40
t =12
He has 12 ten dollar bills
#16 What are the coordinates of S?
Help please Thanks homework help
Answer:
30
Step-by-step explanation:
3x+x=4x
40+20=60
180-60=120
120/4=30
Here is a polygon on a grid. An L shaped figure on a square grid. Draw a scaled copy of this polygon that has a perimeter of 30 units. What is the scale factor? Explain how you know.
Answer: the perimeter of this L shaped figure is 10 units, so scaling it by 3× would make the perimeter 30 units. so the scale factor is 3
The scale factor of the figure is 3 units.
We need to draw a scaled copy of this polygon that has a perimeter of 30 units and also we need to find the scale factor.
What is the scale factor?The scale factor is the ratio of one figure's side length to the other figure's corresponding side length.
If the sides of a polygon are changed by a scale factor 'a' then its perimeter is also changed by the same scale factor.
Now, scale factor = Scaled perimeter/Actual perimeter
From the figure, the perimeter of the figure is 10 units.
So, scale factor = 30/10 =3 units
Therefore, the scale factor of the figure is 3 units.
To learn more about the scale factor visit:
https://brainly.com/question/22312172.
#SPJ2
The reduce feature on a copy machine is set at 84%. The picture being copied is 4.5 inches wide. What will be the width of yhe reduced picture?
Answer:
The answer is 3.825 inches, the reduced picture will be 84% of the size of the original
Answer:
3.78 inches
Step-by-step explanation:
if the original length is 4.5 and we are making it 84 percent of that size we multiply 4.5 times 84 percent(that is 0.84).
If we type in 4.5 * 0.84 on a calculator the answer comes back as 3.78
so the answer is 3.78 inches
What is the solution to this equation?
5x + 9 - 3x = 18 + 15
A. x= 3
B. x = 8
C. x = 12
D. x = 21
Answer:
21
Step-by-step explanation:
5x-3x=18+15-9
2x=42 /:2
x=21
the positive square root of 28?
Answer:
is 4 i think
Step-by-step explanation:
What number should be placed in the box to help complete the division calculation? Long division setup showing an incomplete calculation. 12 is in the divisor, 6839 is in the dividend, and 5 hundreds and 6 tens is written in the quotient. 6000 is subtracted from 6839 to give 839. An unknown value represented by a box is being subtracted from 839. Numerical Answers Expected! Answer for Blank 1: Look at the pic
Answer: The answer is 720
Step-by-step explanation: I started off by guessing a random number, i picked 10. So i multiplied 12x10 and i got 120. I added 120 with 120 until i got something close enough (720.) I got it right on the test as well- :)
Find the difference. (-ab+5a-8)-(4ab-5)
Answer:
-5ab + 5a - 3
Step-by-step explanation:
(-ab + 5a - 8) - (4ab - 5) =- ab + 5a - 8 - 4ab + 5 = (-1 - 4)ab + 5a - 3 =-5ab + 5a - 3[tex]0.05x^{2}[/tex]how do i evaluate 0.05
PLZZZZZZZZZZZ HELP!!!!!!!!!!!!!!!!
Answer:
A. Graph B
Step-by-step explanation:
The reasoning is because the 2 lines are parallel; therefore, it is impossible for them to overlap or intersect, which is the only way a solution can be found. Parallel lines can never have a solution. Hope this helped!
Jack picks 5 pounds of apples in 8 minutes. Jill picks 6 pounds of apples in 10 minutes. Working together at these rates, how many pounds of apples will they pick in 40 minutes?
The information below represents the costs of Maggy’s home ownership. what does Maggy spend on average per month related to her home? Mortgage $1,309 per month
$2,152.58.
You can add the per month straight up, but you have to divide the annual costs by 12 (12 months in a year). Add all the numbers together, and you get (roughly) 2,152.58.
Regarding a regression model, which of the following description is wrong? Say x is predictor and y is the outcome.a. Without the regression model, the best prediction of y is the mean of y.b. The amount of variability in y that can be explainedc. The regression line does not always pass through the point (X, Y)d. The regression models can have more than three predictors at the same time.
Answer:
D)
Step-by-step explanation:
The regression model can have one or more predictor (x dependent variable) at the same time.
What type of number is pie/2 ?
Answer:
its a irrational number
PLZ HELP I"LL GIVE BRAINLIEST TO THE BEST ANSWER AND 5 STARS AND A THANKS. PLZ ITS IN THE PICTURE!!!
Answer:
The constant of proportionality is 1/3.
Step-by-step explanation:
You can find this answer by taking two coordinates shown and put them into a fraction form.
Example:
The second coordinate is (2, 6)--> 2/6, which reduced is 1/3.
To test that 1/3 is correct, you can do another coordinate: (4, 12)-->4/12, which reduced is also 1/3.
So 1/ 3 is correct.
Or take a look at the graph...
the red lines are always two units across, and the blue lines are always six units in height. So 2/6, (length, height), which can be reduced to 1/3, the constant of proportionality.
PLS HELP WILL MARK BRAINLIEST!
Find the inverse of the function: f ( x ) = 1 5 x + 4 Group of answer choices f − 1 ( x ) = 4 x − 5 f − 1 ( x ) = − 5 x − 4 f − 1 ( x ) = x − 4
Answer:
D
Step-by-step explanation:
So we have the function:
[tex]f(x)=\frac{1}{5}x+4[/tex]
To find the inverse, simply switch x and f(x), change f(x) to f⁻¹(x), and solve for it. Thus:
[tex]x=\frac{1}{5}f^{-1}(x)+4[/tex]
Subtract 4 from both sides:
[tex]x-4=\frac{1}{5}f^{-1}(x)[/tex]
Multiply both sides by 5:
[tex]f^{-1}(x)=5x-20[/tex]
So that's our inverse :)
So, our answer is D
Answer:
D
Step-by-step explanation:
6+4m-1=21
I think this is the last question so please be quick and help!
Step-by-step explanation:
5+4m=21
4m=21-5
4m=16
m=16/4
m=4
Answer:
m=6
Step-by-step explanation:
(6)+4m(-1)=21<subtract 6-1
(-5)+4m=(21)<subtract 5 to both sides
(4m)=(26)<divide
CAN SOMEONE PLEASE HELP ME ASAP PLEASEEEE!!!
Answer: being similar means they are in the same ratio. so x = 12
Step-by-step explanation:
first put it into a ratio, 4/x =2/6 and answer it like an equation.
4/x=2/6 (cross multiply)
24=2x
x=12
Answer:
x = 12
Step-by-step explanation:
The only full "pair" of sides is 2 on the little polygon and 6 on the big polygon. The relationship between them is 3. 2 × 3 = 6
Now, apply this to the pair we are using: 4 × 3 = x
4 × 3 = 12, so x equals 12.
How do I solve this?
2^5 - 4^2 / 2^2
Answer:
28
Step-by-step explanation:
4 squared is equal to 16
2 squared is equal to 4
16÷4=4
2 to the fifth is 32 (2x2x2x2x2)
32-4=28
Hope this helps :-)