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Dafna1 [17]
2 years ago
12

Find x when k(x) = -6 k(x) = -7x+1

Mathematics
1 answer:
sp2606 [1]2 years ago
4 0

Answer:

x = 1

Step-by-step explanation:

Since both equations are equal to k(x), both equations are also equal to each other.

Begin by setting up the equation like this: -6 = -7x + 1

Simply solve for x by subtracting each side by 1 (-7 = -7x)

Finally, divide both sides by -7 to get 1.

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You are purchasing a house 12 years from now. the estimated purchase price is $171,600.00. you want to make a 20% down payment.
diamong [38]
Answer:
$238.33

Explanation:
Assume that the amount you need to save per month is x.

You will be saving monthly for 12 years. This means that the amount you will save after 12 years is:
amount saved after 12 years = 12 * 12 * x = 144x

Now, you need to save 20% of $<span>171,600.00. We will first need to calculate this value.
20% of $</span>171,600.00 = 0.2 * <span>171,600.00 = $34320

Now, to know your monthly savings, equate the total amount saved in 12 years with the amount that needs to be saved and solve for x as follows:
144x = 34320
x = 34320 / 144
x = 238.33

This means that, to meet your goal, you need to save $238.33 monthly for 12 years.

Hope this helps :)</span>
8 0
3 years ago
Are you good in math?
Karo-lina-s [1.5K]
Not really, is this a rhetorical question? lol
3 0
3 years ago
A piece of carpet is 8 feet wide and 12 feet long. The carpet needs to be reduced by a scale factor so that the reduced carpet i
saw5 [17]
6 feet because 8 / 12 reduces to 2 / 3 and you multiply 2 times 3
8 0
3 years ago
Read 2 more answers
a landscaping company delivers soul and bags to its customers they deliver 4,000 pounds of soil if each bag holds 16 pounds of s
Murljashka [212]

Answer:

250 bags

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the answer ?
kifflom [539]
The system of inequalities is the following:

i) <span>y ≤ –0.75x
ii)</span><span>y ≤ 3x – 2

since </span>0.75= \frac{75}{100}= \frac{3}{4}, we can write the system again as 

i) y \leq - \frac{3}{4}x
ii) y  \leq 3x-2

Whenever we are asked to sketch the solution of a system of linear  inequalities, we:

1. Draw the lines
2. Color the regions of the inequalities.
3. The solution is the region colored twice.


A.

to draw the line y =- \frac{3}{4}x

consider the points: (-4, 1) and (0, 0), or any 2 other points (x,y) for which y =- \frac{3}{4}x hold.

since we have an "smaller or equal to" inequality, the line is a solid line (not dashed, or dotted).

In order to find out which region of the line to color, consider a point not on the line, for example P(1, 1), which is clearly in the upper region of the line.

For (x, y)=(1, 1) the inequality y  \leq - \frac{3}{4}x, does not hold because 

1 \leq - \frac{3}{4}*1= -\frac{3}{4} is not true,

this means that the solution is the region of the line not containing (1, 1), as shown in picture 1.


B.
similarly, to draw the solution of inequality ii) y ≤ 3x – 2, 

we first draw the line y=3x-2, using the points (0, -2) and (2, 4), or any other 2 points (x,y) for which y=3x-2 holds.

after we draw the line, we can check the point P(1, 7) which clearly is above the line y=3x-2.

for (x, y) = (1, 7), the inequality y ≤ 3x – 2 does not hold

because 7 is not ≤ 3*1-2=1, so the region we color is the one not containing P(1, 7), as shown in picture 2.


The solution of the system is the region colored with both colors, the solid lines included. Check picture 3.

the lines intersect at (0.533, -0.4) because:

–0.75x=3x-2
-0.75x-3x=-2
-3.75x=-2, that is x= -2/(-3.75)=0.533

for x=0.533, y=3x-2=3(0.533)-2=-0.4

Answer: Picture 3, the half-lines included. So the graph is in the 3rd and 4th Quadrants

8 0
2 years ago
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