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VARVARA [1.3K]
2 years ago
15

Nick has a 6-digit code he remembers it as three 2-digit numbers The first number is between 10 and 20. The second number is 3 t

imes the first number. The third number is 5 times the first number . All six digits are different. Work out the code
Mathematics
1 answer:
blondinia [14]2 years ago
3 0

Answer:

The answer is 18-54-90

Step-by-step explanation:

Take care

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Find the quation of the quadratic function with roots 0 and 4 and a vertex at (2,-2)
Nookie1986 [14]

Answer:

y = (1/2)x² -2x

Step-by-step explanation:

recall that the general equation of a quadratic function is:

y = Ax² + Bx + C

given that 0 and 4 are roots, that means when x = 0 and x = 4, then  y = 0

From this we can get 2 points on the curve, namely,  (0,0) and (4,0)

substituting these points one at a time into the equation above,

for the first point (0,0),

0 = A (0)² + b(0) + C

C = 0

hence the equation becomes:    y = Ax² + Bx

for the 2nd known point (4,0)

0 = A(4)² + B(4)

0 = 16A + 4B   (divide both sides by 4)

0 = 4A + B

B = -4A    ------------(eq 1)

we are given a 3rd point, vertex at (2,-2)

for (2,-2)

-2 = A(2²) + B(2)

-2 = 4A + 2B   (divide both sides by 2)

-1 = 2A + B   (subtract 2A from both sides)

B = -1 -2A --------(eq 2)

solving the system of equations using the method of your choice in eq1 and eq 2 gives:

A = 1/2 and B = -2

hence the equation is

y = (1/2)x² -2x

7 0
3 years ago
A restaurant has 20 and 1/2 pounds of bananas to make smoothies a check uses 1/8 lb of bananas per smoothie. how many smoothies
torisob [31]

Step-by-step explanation:

I assume you meant :

the restaurant has 20 1/2 pounds of bananas.

one smoothie uses 1/8 pound of bananas.

how many smoothies can be made with the amount of available bananas ?

the answer is as many as the times 1/8 fit into 20 1/2.

so, we actually calculate

(20 1/2) / (1/8)

first we will convert the mixed number into a true fraction :

20 1/2 = 40/2 + 1/2 = 41/2

so we have

41/2 / 1/8

and then, when dividing fractions we have 2 choices (they do both the same, of course, but start looking differently) :

a/b / c/d = a×d / b×c

a/b / c/d = a/b × d/c = a×d / b×c

so,

41/2 / 1/8 = 41×8 / 2×1 = 41×4 = 164

they can make 164 smoothies.

7 0
1 year ago
Write the equation of the perpendicular bisector of CD.
Luda [366]
You haven't provided the coordinates of C and D, therefore, I cannot provide an exact solution. However, I'll tell you how to solve this problem and you can apply on the coordinates you have.

The general form of the linear equation is:
y = mx + c
where:
m is the slope and c is the y-intercept

1- getting the slope:
We will start by getting the slope of CD using the formula:
slope = (y2-y1) / (x2-x1)
We know that the line we are looking for is perpendicular to CD. This meas that the product of their slopes is -1. Knowing this, and having calculated the slope of CD, we can simply get the slope of our line

2- getting the y-intercept:
To get the y-intercept, we will need a point that belongs to the line.
We know that our line passes through the midpoint of CD.
Therefore, we will first need to get the midpoint:
midpoint = (\frac{x1+x2}{2} ,  \frac{y1+y2}{2})

Now, we will use this point along with the slope we have to substitute in the general equation and solve for c.

By this, we would have our equation in the form of:
y = mx + c

Hope this helps :)


8 0
3 years ago
Read 2 more answers
Can someone pls help
Tom [10]
5 balls = 3.1 pounds
1 ball = 3.1 ÷ 5 = 0.62 pounds
6 0
3 years ago
What is the sum of each pair of binary integers?
Natali5045456 [20]
Add digit by digit, from the right, just like any number, except that if it adds to 2, then put a zero and carry one (instead of carrying when it adds to 10 or more).

Example:  < means carry, decimal equivalent for checking
1011+1111

     1     0     1     1         (8+2+1=11)
+   1     1     1     1         (8+4+2+1=15)
---<---<----<----<----
1   1     0     1     0         (16+8+2=26)

Proceeding similarly,
a. 10101111+11011011 = 110001010  (394)
b. 10010111+11111111  = 110010110  (406)
c.  01110101+10101100 = 10010001  (289)

3 0
3 years ago
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