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3 years ago

15

- Two consecutive integers are 5 and 6. Write a quadratic equation that

1 answer:

mario62 [17]3 years ago

6 0

Answer:

x^2 -11x +30 = 0

Step-by-step explanation:

If these two integers are solutions of the quadratic, then its factors are ...

(x -5)(x -6) = 0

Multiplying this out, we get ...

x^2 -11x +30 = 0

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Write the number 5 million 4 thousand three hindered in standard form

Sphinxa [80]

Answer:

The ans is 5004300

In standard form,

5004300. Five Millon four thousand and three hundred.

(hope that helped can i plz have brainlist it wil make my day :D hehe)

Step-by-step explanation:

7 0

2 years ago

2 bags of cat food cost $8.50, how much would 5 bags of cat food cost ?

luda_lava [24]

Answer:

$42.05

Step-by-step explanation:

First do $8.50/2=4.25

This means that one bag of cat food is $4.25

Now you multiply 5*4.25=$21.25,

I hope this helps and is correct!

8 0

2 years ago

Solve the following system of equation

krok68 [10]

Answer:

x = 6 , y = -4 , Z = -1

Step-by-step explanation:

Solve the following system:

{2 x + 3 y - Z = 1 | (equation 1)

3 x + y + 2 Z = 12 | (equation 2)

-3 + x + 2 y = -5 | (equation 3)

Express the system in standard form:

{2 x + 3 y - Z = 1 | (equation 1)

3 x + y + 2 Z = 12 | (equation 2)

x + 2 y+0 Z = -2 | (equation 3)

Swap equation 1 with equation 2:

{3 x + y + 2 Z = 12 | (equation 1)

2 x + 3 y - Z = 1 | (equation 2)

x + 2 y+0 Z = -2 | (equation 3)

Subtract 2/3 × (equation 1) from equation 2:

{3 x + y + 2 Z = 12 | (equation 1)

0 x+(7 y)/3 - (7 Z)/3 = -7 | (equation 2)

x + 2 y+0 Z = -2 | (equation 3)

Multiply equation 2 by 3/7:

{3 x + y + 2 Z = 12 | (equation 1)

0 x+y - Z = -3 | (equation 2)

x + 2 y+0 Z = -2 | (equation 3)

Subtract 1/3 × (equation 1) from equation 3:

{3 x + y + 2 Z = 12 | (equation 1)

0 x+y - Z = -3 | (equation 2)

0 x+(5 y)/3 - (2 Z)/3 = -6 | (equation 3)

Multiply equation 3 by 3:

{3 x + y + 2 Z = 12 | (equation 1)

0 x+y - Z = -3 | (equation 2)

0 x+5 y - 2 Z = -18 | (equation 3)

Swap equation 2 with equation 3:

{3 x + y + 2 Z = 12 | (equation 1)

0 x+5 y - 2 Z = -18 | (equation 2)

0 x+y - Z = -3 | (equation 3)

Subtract 1/5 × (equation 2) from equation 3:

{3 x + y + 2 Z = 12 | (equation 1)

0 x+5 y - 2 Z = -18 | (equation 2)

0 x+0 y - (3 Z)/5 = 3/5 | (equation 3)

Multiply equation 3 by 5/3:

{3 x + y + 2 Z = 12 | (equation 1)

0 x+5 y - 2 Z = -18 | (equation 2)

0 x+0 y - Z = 1 | (equation 3)

Multiply equation 3 by -1:

{3 x + y + 2 Z = 12 | (equation 1)

0 x+5 y - 2 Z = -18 | (equation 2)

0 x+0 y+Z = -1 | (equation 3)

Add 2 × (equation 3) to equation 2:

{3 x + y + 2 Z = 12 | (equation 1)

0 x+5 y+0 Z = -20 | (equation 2)

0 x+0 y+Z = -1 | (equation 3)

Divide equation 2 by 5:

{3 x + y + 2 Z = 12 | (equation 1)

0 x+y+0 Z = -4 | (equation 2)

0 x+0 y+Z = -1 | (equation 3)

Subtract equation 2 from equation 1:

{3 x + 0 y+2 Z = 16 | (equation 1)

0 x+y+0 Z = -4 | (equation 2)

0 x+0 y+Z = -1 | (equation 3)

Subtract 2 × (equation 3) from equation 1:

{3 x+0 y+0 Z = 18 | (equation 1)

0 x+y+0 Z = -4 | (equation 2)

0 x+0 y+Z = -1 | (equation 3)

Divide equation 1 by 3:

{x+0 y+0 Z = 6 | (equation 1)

0 x+y+0 Z = -4 | (equation 2)

0 x+0 y+Z = -1 | (equation 3)

Collect results:

Answer: {x = 6 , y = -4 , Z = -1

6 0

3 years ago

The ordered pair (a,b) satisfies the inequality y < x + 6. which statement is true ?

natka813 [3]

Answer:

True: If you add 6 to a, this will be greater than b.

Step-by-step explanation:

If the ordered pair (a,b) satisfies the inequality y < x + 6, then the coordinates of this point satisfy the inequality. Substitute into the inequality x = a and y =b:

$b$

Check all options:

A. Subtract 6 from b:

$b-6$

So, if you subtract 6 from b it will be less than a but never equal to a, so this option is false.

B.

$bb\\ \\a>b-6$

So, a is greater than b - 6, not b. This option is false.

C. If you add 6 to a, then

$bb$

This option is true.

D. a+6 is greater than b, so it cannot be less than b. This option is false.

7 0

3 years ago

????????????????????????????????????????????????????????????????

natita [175]

Volume: length*width*height

This problem gives you the three dimensions you need, so…

Multiply: 1 3/4* 1 3/4* 2 1/4

Which equals:
6 57/64 cubic feet

7 0

2 years ago

Read 2 more answers