Can someone help me with these problems 5-8 I would appreciate it

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:

10

Step-by-step explanation:

When u cross multiply

[tex]5 \div x = 3 \div6[/tex]

= 3x=30(5*6)

= x=30/3

=x=10

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:

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:

(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:

-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:

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:

What do you need help with

Step-by-step explanation:

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:

3.51

Step-by-step explanation:

yes

Answer:

3.28

Step-by-step explanation:

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

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:

https://brainly.com/question/24182713

#SPJ2

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:

None of them. The proper expression(s) to split the debt are:

5400 / 8

or

8x=5400

Answer:

5 hours 8 mins?

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:

false

Step-by-step explanation:

bc i said so

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 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:

Give me what the steps are what are the numbers

Step-by-step explanation:

Answer:

390 miles

Step-by-step explanation:

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

Answer:

10

Step-by-step explanation:

2pi(5) is 31.42.

31.42/pi gets you exactly 10pi meters.

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:

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

=700+400+8000

=1100+8000

Answer:

60 degrees

Step-by-step explanation:

add all together

make an equation of the sum= 180

this would mean 9r-9=180

solve

9r-9=180

9r=189

r=21

plug 21 in for r on the angle Y

solve

3(21)-3

63-3

60