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3 years ago

X and y-intercept of y=X-5

1 answer:

4 0

The x-intercept is when y = 0
y = x - 5 → 0 = x - 5 → x = 5

The y-intercept is when x = 0
y = x - 5 → y = 0 - 5 → y = - 5

Answer: x-intercept is (5, 0), y-intercept is (0, -5)

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At a hot dog stand they serve regular hot dogs and footling hot dogs at a ratio of 5 to 3. Based on this ratio how many footlong

natta225 [31]

Answer:
45
Step-by-step explanation:
Ratio is 5:3
So total ratio "parts" is 5 + 3 = 8
In total there are 120 dogs served, so each part is:
120/8 = 15 dogs
Since, footlong hot dogs are "3" parts, and each part is 15 dogs, there will be:

3 * 15 = 45 footlong hotdogs

3 0

3 years ago

Solve each system by elimination 5x+y=9 10x-7y=-18 -4x+9y=9 x-3y=-6

tiny-mole [99]

5x + y = 9....multiply by 7
10x - 7y = -18
----------------
35x + 7y = 63 (result of multiplying by 7)
10x - 7y = -18
----------------add
45x = 45
x = 45/45
x = 1

5x + y = 9
5(1) + y = 9
5 + y = 9
y = 9 - 5
y = 4

solution is : (1,4)
=========================
-4x + 9y = 9
x - 3y = -6 ....multiply by 4
----------------
-4x + 9y = 9
4x - 12y = -24 (result of multiplying by 4)
---------------add
- 3y = - 15
y = -15/-3
y = 5

x - 3y = -6
x - 3(5) = -6
x - 15 = -6
x = -6 + 15
x = 9

solution is : (9,5)

3 0

3 years ago

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 2x-y=

Bond [772]

Answer:

The system of linear equations has infinitely many solutions

Step-by-step explanation:

Let's modified the equations and find the answer.

Using the first equation:

$2x-y=5$ we can multiply by 2 in both sides, obtaining:

$2*(2x-y)=2*5$ which can by simplified as:

$4x-2y=10$ which is equal to:

$4x=2y+10$

Considering the second equation:

$=4x+ky=2$

Taking into account that from the first equation we know that: $4x=2y+10$ , we can express the second equation as:

$2y+10+ky=2$ , which can be simplified as:

$(2+k)y=2-10$

$(2+k)y=-8$

$y=-8/(2+k)$

Because (-8) is being divided by (2+k), then (2+k) can't be equal to 0, so:

$2+k=0$ if $k=-2$

This means that k can be any number different than -2, and for each of these solutions, there is a different solution for y, allowing also, different solutions for x.

For example, if k=0 then

$y=-8/(2+0)$ which give us y=-4, and, because:

$4x=2y+10$ if y=-4 then $x=(-8+10)/4=0.5$

Now let's try with k=-1, then:

$y=-8/(2-1)$ which give us y=-8, and, because:

$4x=2y+10$ if y=-8 then $x=(-16+10)/4=-1.5$ .

Then, the system of linear equations has infinitely many solutions

8 0

3 years ago

What is the perimeter of an equilateral triangle pose area is 4 square root 3

Greeley [361]

P≈9.12
area 4

.......................................................................

6 0

3 years ago

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A moving truck is rented at $1,000 per day plus a charge per hour of use. The moving truck was used for 9 hours one day, and the

Advocard [28]

1000 is our constant because the truck was only used one day. We also know they charge a certain amount per hour, but we do not know how much. In this case they charged that amount 9 times because the truck was used for 9 hours. The total of the constant plus the 9hour fee is 2700 dollars:

1000(1) + 9x = 2700

The reason we multiply 1000 by 1, is because we only used the truck for one day.

Solve for x

9x = 2700 - 1000 = 1700

X = 1700/9 = 188.88

The hourly fee is $188.88
The question is asking for an equation for hours of use though, so the answer is

1000(1) + 9(188.88) = C

C represents cost or charge.

4 0

3 years ago

Read 2 more answers