15 x -3=?

5
45
-45
-5

Answer:

Give me what the steps are what are the numbers

Step-by-step explanation:

The expression that can be factored into the form (ax + b)(ax - b), where a and b are rational numbers, is 4n² - 81.

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,

A.
4n² - 81,
This can be factored as (2n - 9)(2n + 9), which is of the form (ax + b)(ax - b).

B.

2n² - 49,
This can be factored as (n - 7√2)(n + 7√2), but not in the form (ax + b)(ax - b).

C.

2n² + 49:

This cannot be factored into the form (ax + b)(ax - b) using rational numbers. We can factor it over the complex numbers as (n + i√49/2)(n - i√49/2), where i is the imaginary unit, but this does not satisfy the conditions of the problem.

D.

4n² + 81,
This cannot be factored into the form (ax + b)(ax - b)

Therefore, the expression that can be factored into the form (ax + b)(ax - b), where a and b are rational numbers, is 4n2 + 81.

Learn more about Factors here:

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Answer:

y = - [tex]\frac{1}{4}[/tex] x

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 24, y = - 6

- 6 = 24k ( divide both sides by 24 )

[tex]\frac{-6}{24}[/tex] = k , that is

k = - [tex]\frac{1}{4}[/tex]

y = - [tex]\frac{1}{4}[/tex] x ← equation of variation

Answer:

325 km

Step-by-step explanation:

Given the scale :

1 : 4 ,000, 000

1cm measure in map = 4000000 on the ground

From the map :

Distance between Leeds and London = 8.125 cm

The actual distance on ground can be calculated thus :

1cm = 4,000,000

8.125cm = x

Cross multiply

x = 32500000 cm

Converting to kilometers :

1 km = 100,000 cm

x = 32500000

Cross multiply

100,000x = 32500000

x = 32500000 / 100000

x = 325

Hence, actual distance between Leeds and London is 325 km

Answer:

(0,2)

x=0

y=2

Step-by-step explanation:

We know that y=x+2

This means that we can subsitute this for y into the second equation

3x+3(x+2)=6

This is easy to solve

3x+3x+6=6

6x=0

x=0

We can then use this value for x in the second equation

y=0+2

y=2

I doubled checked this answer on desmos and my math is correct

Answer:

Answer:

(0,2)

x=0

y=2

Step-by-step explanation:

We know that y=x+2

This means that we can subsitute this for y into the second equation

3x+3(x+2)=6

This is easy to solve

Step 1:

3x + 3x + 6 = 6

Step 2:

6x=0

6      6

x=0

Then you should substitute y =x + 2 with the given solution from the first equation, x = 0

y=0 + 2

y=2

Your answer should be, x =0 and y = 2 or (0,2)

Answer: Part A.  B origin    Part B. C(0,0)

Step-by-step explanation:

In a coordinate plane, there are two axes

1) x-axis which is the horizontal axis.

2) y-axis which is the vertical axis.

The intersection of both the axes is known as the origin whose coordiantes are (0,0), i.e. at this point value of x =0 and value of y =0.

Part A: The ordered pair that represents the intersection of the x-axis and y-axis is called the origin.

Part B: The coordinate. Part B the coordinates of the origin are (0,0).

Answer:

A 1,1

Step-by-step explanation:

Answer:

86.1372 -------> 86.1 (Nearest Tenths)

86.1372 -------> 86.14 (Nearest Hundreths)

86.1372 --------> 86.137 (Nearest Thousandths)

Step-by-step explanation:

Semicircle: 3.14*[tex]3^{2}[/tex]/2 = 14.1372

Triangle: 4*6 = 24/2 = 12

Rectangle: 10*6 = 60

14.1372 + 12 + 60 = 86.1372

86.1372 -------> 86.1 (Nearest Tenths)

86.1372 -------> 86.14 (Nearest Hundreths)

86.1372 --------> 86.137 (Nearest Thousandths)

Answer:

1.2p−3

Step-by-step explanation:

Answer:

-3+1.2p

Step-by-step explanation:

Distribute .6 across the parenthesis (.6*-5 and .6*2p)

Answer:

What do you need help with

Step-by-step explanation:

Answer:

theres a graph with the vertex values if that's what you were looking for

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

Negative times positive is always negative, thus making them less than 0. Negative times negative is positive, so B and C both have a positive product. Hope this helps

Answer:

13 Blocks Away From School

Step-by-step explanation:

5 + 8 Is 13

Answer: 13 blocks from school

Step-by-step explanation:

Answer:

(7 x 100) + (4 x 100 ) + (8 x 1,000)

=700+400+8000

=1100+8000

Answer:

3.51

Step-by-step explanation:

yes

Answer:

3.28

Step-by-step explanation:

Answer:

-4 is the slope

Step-by-step explanation:

Because the line is going downwards that makes it a negative and if you count the boxes rise over run. You look for the point where the line meets a box perfectly and then you count the boxes down which is 4 and across which is one which makes it -4/1. So the slope is -4.

Answer:

[tex]k[/tex]+([tex]x[/tex]×[tex]x[/tex])

Step-by-step explanation:

k is the number of pencils jerry has, and x is the number of pencils darcy and leonard gave him EACH. So you need to multiply 'x' x2 to get the total ammount of pencils they gave him, then add 'k' to know how much in total he has now.

hope it helped! (3

Answer: Lower-right corner  [tex]3^7 \times \frac{1}{3^4}[/tex]

Explanation:

We use the rule that

[tex]a^{-b} = \frac{1}{a^b}[/tex]

The negative exponent tells us to apply the reciprocal if we want the exponent to be positive.

In this case, a = 3 and b = 4

So,

[tex]a^{-b} = \frac{1}{a^b}\\\\3^{-4} = \frac{1}{3^4}[/tex]

which is why overall,

[tex]3^7\times 3^{-4} = 3^7 \times \frac{1}{3^4}[/tex]

Answer:

390 miles

Step-by-step explanation:

(45 x 4) + (35 x 6) = 390 miles

Answer:

The answer is below

Step-by-step explanation:

A parabola is the locus of a point such that its distance from a given line (directrix) and a fixed point (focus) is always the same.

The equation of a parabola with a horizontal line as directrix is given by:

(x - h)² = 4p(y - k)

where y = k - p is the directrix and the focus = (h, k + p)

Given that parabola has a directrix at y = 2 and a focus at (5, 0)

Therefore:

y = k - p

k - p = 2          (1)

focus = (h, k + p) = (5, 0)

h = 5, k + p = 0

k + p = 0         (2)

Solve equation 1 and 2 simultaneously by adding both equations together:

2k = 2

k = 1

Substitute k = 1 in k + p = 0 to find p:

1 + p = 0

p = -1

Therefore h = 5, p = -1 and k = 1

Substitute the values of h, k and p into the equation of a parabola:

(x - h)² = 4p(y - k)

(x - 5)² = 4(-1)(y - 1)

(x - 5)² = -4(y - 1)

x² - 10x + 25 = -4y + 4

-4y = x² - 10x + 21

4y = 10x - x² - 21

Answer:

? = 109 degrees

Step-by-step explanation:

45 + 75 + _ = 180  ( look for vertical angles)

45 + 75 + 60 = 180

60 +79 + _ = 180 (look for a straight line that forms 180 degrees)

60 + 79 + 41 = 180

68 + 41 + _ = 180 (look for a triangle that adds up to 180)

68 + 41 + 71 =180

180 - 71 = 109 (look for a linear pair)

Answer: Below is the first one

Step-by-step explanation: Second one is right here x=1/5+y/5

Answer:

45

Step-by-step explanation:

Given

3z² - 6z ← substitute z = 5 into the expression

= 3(5)² - 6(5)

= 3(25) - 30

= 75 - 30

= 45

Answer:

Step-by-step explanation:

First, convert the z’s to numbers.

3(5) squared - 6(5)

do the squared first

3(25)-6(5)

multiply

75-30=45

Answer:45

Answer:

-55

Step-by-step explanation:

7x-6y=2

-2x-y=3

by substitution method

y=3+2x

7x-6(3+2x)=2

7x-18-12x=2

-5x=20

x=-4

-2(-4)-y=3

8-y=3

-y=3-8

y=5

therefore the value of x=4 and that of y=5

5x-7y=5(-4)-7(5)

=-20-35

=-55

Answer:

Step-by-step explanation:

we will add like terms

-2x-2<8

we will add 2 on both sides

-2x<10

divide by 2

-x<5

multiply by -1

x>-5

Answer:

The perfect square ( x -1 )² = 2

Step-by-step explanation:

Explanation:-

Given equation  x² - 2 x = 1

              ⇒        x² - 2 x + 1 -1 = 1

             ⇒        x² - 2x + 1² = 1 +1

             ⇒     ( x -1 )² = 2

Answer:

false

Step-by-step explanation:

bc i said so