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sergij07 [2.7K]
3 years ago
6

Write the equation described in each case.

Mathematics
1 answer:
Lapatulllka [165]3 years ago
4 0

Answer:

The Answer is: y = -1/4x + 6

Step-by-step explanation:

Given point: (4, 5)

Given equation: y = -1/4x - 11

Slope: m = -1/4, a parallel line will have the same slope.

Start with the point slope form and solve for y:

y - y1 = m(x - x1)

y - 5 = -1/4(x - 4)

y - 5 = -1/4x + 1

y = -1/4x + 1 + 5

y = -1/4x + 6

Proof:

f(x) = -1/4x + 6

f(4) = -1/4(4) + 6

= -1 + 6 = 5, giving (4, 5)

Hope this helps!! Have an Awesome day!!! :-)

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Evaluate the expression x=7 18-1.8x=
ElenaW [278]

18-1.8x= ?

x = 7

So, substitute the number in for the x

18-1.8*7

18-12.6=5.4

5.4 is your answer

-IronWolfX✔

5 0
3 years ago
I need help
algol [13]

Answer:

1. No.

2. Yes, there is no solution here.

Step-by-step explanation:

The former:

8(5x - 3) = 6(-3x - 4); \\ 8 * 5x - 8 * 3 = 6 * (-3x) - 6 * 4; \\ 40x - 24 = -18x - 24; \\ 40x + 18x = -24 + 24; \\ 58x = 0; \\ x = 0.

\{0\} is our set of solutions.

The latter:

3x - 13 = 7(x + 2) - 4(x - 7); \\ 3x - 13 = 7x + 7 * 2 - 4x - 4 * (-7); \\ 3x - 13 = 7x + 14 - 4x + 28; \\ 7x - 4x - 3x = -13 - 14 - 28;\\ 0x = 55; \\ x \in \emptyset.

In other words, there is not any solution from the set of real numbers that suits us.

5 0
2 years ago
Tobias rented a kayak from a sports equipment store.
Ket [755]

Answer:

B

Step-by-step explanation:

Let x = every day he rented the kayak

Since the store charges $60 for each day, multiply x by 60 like this: 60x

They also have $25 on top of that; 60x + 25

This all has to equal $325; 60x + 25 = 325

To solve for x, subtract 25 from both sides

60x + 25 = 325

       - 25    - 25

60x = 300

Divide both sides by 60

60x/60 = 300/60

x = 5

This means Tobias rented the kayak for 5 days

7 0
3 years ago
PLEASE HELP and Show your work please!!
bazaltina [42]

9514 1404 393

Answer:

  2)  3 pages per hour

  3)  4/29 km per minute

Step-by-step explanation:

Division by a fraction is the same as multiplication by the inverse of that fraction.

<h3>2) </h3>

  \dfrac{\ \dfrac{9}{4}\ }{\dfrac{3}{4}}=\dfrac{9}{4}\times\dfrac{4}{3}=\dfrac{36}{12}=\boxed{3\text{ pages per hour}}

__

<h3>3) </h3>

  \dfrac{2\text{ km}}{\dfrac{29}{2}\text{ min}}=2\times\dfrac{2}{29}\text{ km/min}=\boxed{\dfrac{4}{29}\text{ km/min}}

8 0
3 years ago
PLEASE HELP! IM A MONTH BEHIND IN MATH AND FREAKING OUT T^T PLZZZZ
ANTONII [103]
A) Let x stand for time, y stand for velocity.
We are given the points (2,50), (6, 54). We can make a line using the slope intercept form
y = mx + b.
slope is (54 - 50)/(6-2)  = 4/4 = 1
y = 1x + b
plug in point (2,50) to find b
50 = 1(2) + b
50-2 = b
48 = b
the equation is  y = 1x + 48
Make standard form.
<span>x - y = -48
</span><span>b) make a table and plot points for the first 7 hours
Table Is attached.
Good Luck!
If you like the answer please give me brainliest answer!
</span>

3 0
3 years ago
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