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Montano1993 [528]
2 years ago
8

student id numbers at a certain university are made up of two letters, followed by four 1-digit numbers, and then another letter

(example:em3289c). how many students id numbers are possible if the numbers cannot be replaced?
Mathematics
1 answer:
Bingel [31]2 years ago
5 0

Answer:

10078

Step-by-step explanation:

26+26+26+10000= 10078

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Which ordered pair is not a solution of the equation 3x+2y=-10? A: (-4,1) B: (-5,4) C:(2,-8)
Angelina_Jolie [31]
Plug in the values and see which ones do not fi:-

. A      3(-4) + 2(1) =  -10

that fits  so it must be B, C or D.
4 0
3 years ago
HELP PLEASE!!!!!!!!!!!
emmainna [20.7K]

Answer:

Part 1) y=-x^{2}  ---> Translated up by 1 units

Part 2) y=x^{2}+1  ---> Reflected across the x-axis

Part 3) y=-(x+1)^{2}-1  ---> Translated left by 1 unit

Part 4) y=-(x-1)^{2}-1 ----> Translated right by 1 unit

Part 5) y=-x^{2}-1  ----> Reflected across the y-axis

Part 6) y=-x^{2}-2  ----> Translated down by 1 unit

Step-by-step explanation:

we know that

The parent function is

y=-x^{2}-1 ----> this is a vertical parabola open downward with vertex at (0,-1)

<em>Calculate each case</em>

Part 1) Translated up by 1 unit

The rule of the translation is

(x,y) -----> (x,y+1)

so

(0,-1) ----> (0,-1+1)

(0,1) ----> (0,0) ----> the new vertex

The new function is equal to

y=-x^{2}

Part 2) Reflected across the x-axis

The rule of the reflection is

(x,y) -----> (x,-y)

so

(0,-1) ----> (0,1) ----> the new vertex

The new function is equal to

y=x^{2}+1

Part 3) Translated left by 1 unit

The rule of the translation is

(x,y) -----> (x-1,y)

so

(0,-1) ----> (0-1,-1)

(0,1) ----> (-1,-1) ----> the new vertex

The new function is equal to

y=-(x+1)^{2}-1

Part 4) Translated right by 1 unit

The rule of the translation is

(x,y) -----> (x+1,y)

so

(0,-1) ----> (0+1,-1)

(0,1) ----> (1,-1) ----> the new vertex

The new function is equal to

y=-(x-1)^{2}-1

Part 5) Reflected across the y-axis

The rule of the reflection is

(x,y) -----> (-x,y)

so

(0,-1) ----> (0,-1) ----> the new vertex

The new function is equal to

y=-x^{2}-1

Part 6) Translated down by 1 unit

The rule of the translation is

(x,y) -----> (x,y-1)

so

(0,-1) ----> (0,-1-1)

(0,1) ----> (0,-2) ----> the new vertex

The new function is equal to

y=-x^{2}-2

3 0
3 years ago
Jully bought 3 slices of cheese pizza and 4 slices of pepperoni pizza for $18.00. Christian bought 3 slices of cheese pizza and
andrew11 [14]

Answer:

$2.00

Step-by-step explanation:

You can form an equation with these statements, x being the price of cheese pizza and y being the price of pepperoni. Making the equation,

3x+4y=18

3x+2y=12

Solving the equation,

3x+4y=18

6x+4y=24

-3x=-6

x=2

y=3

Solving another way,

2y=6

y=3

x=2

Therefore, the answer is $2.00

8 0
2 years ago
If y = 100 when x = 15, which equation could you use to find the value<br> of k?
mario62 [17]

Answer:

y+x=k

Step-by-step explanation:

3 0
2 years ago
Write the equation of the line that passes through 7, 0 and is parallel to y = -3x + 4​
Mazyrski [523]

Answer:

y = - 3x + 21

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 4 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes , then

y = - 3x + c ← is the partial equation

To find c substitute (7, 0 ) into the partial equation

0 = - 21 + c ⇒ c = 0 + 21 = 21

y = - 3x + 21 ← equation of parallel line

8 0
2 years ago
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