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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?

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