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Novosadov [1.4K]
3 years ago
14

What is the slope-intercept form of the function described by this table?

Mathematics
1 answer:
marta [7]3 years ago
3 0
For every change of x by 1, y increases by 5.

So the gradient of the line is 5.

To find the y-intercept:

y = mx + c
2 = 5(1) + c
2 = 5 + c
c = -3

So the equation of the line is y = 5x - 3
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Sales tax 7% how much will I be charged on a $85
CaHeK987 [17]
Tax= 85 times 7% = 85 times 0.07

tax =85 times 0.07 = 5.95
  
tax = 85 = 5.95 2= 90.95
  
   the answer is   90.95
7 0
3 years ago
The sides of a triangle are x , x +1 , 2 x -1 and its area is x root of 10 .Find the value of x.
VARVARA [1.3K]


Ok, I'm going to start off saying there is probably an easier way of doing this that's right in front of my face, but I can't see it so I'm going to use Heron's formula, which is A=√[s(s-a)(s-b)(s-c)] where A is the area, s is the semiperimeter (half of the perimeter), and a, b, and c are the side lengths.

Substitute the known values into the formula:

x√10=√{[(x+x+1+2x-1)/2][({x+x+1+2x-1}/2)-x][({x+x+1+2x-1}/2)-(x+1)][({x+x+1+2x-1}/2)-(2x-1)]}

Simplify:

<span>x√10=√{[4x/2][(4x/2)-x][(4x/2)-(x+1)][(4x/2)-(2x-1)]}</span>

<span>x√10=√[2x(2x-x)(2x-x-1)(2x-2x+1)]</span>

<span>x√10=√[2x(x)(x-1)(1)]</span>

<span>x√10=√[2x²(x-1)]</span>

<span>x√10=√(2x³-2x²)</span>

<span>10x²=2x³-2x²</span>

<span>2x³-12x²=0</span>

<span>2x²(x-6)=0</span>

<span>2x²=0 or x-6=0</span>

<span>x=0 or x=6</span>

<span>Therefore, x=6 (you can't have a length of 0).</span>

6 0
3 years ago
At a country concert, the ratio of number of boys to the number of girls is 2:7. If there are 250 more girls than boys, how many
Juliette [100K]

Answer:

100 boys at the concert

Step-by-step explanation:

When changing the ratio between the number of boys to the number of girls, it always has to be equivalent to the original ratio 2:7

So, convert the ratio 2:7 to a different ratio, but it still has to be equivalent to the ratio 2:7. By doing that, multiply both sides of the 2:7 ratio by 50:

  2   :   7

×50   ×50

To get:

100:350  ⇒  This ratio means that the ratio between the number of boys to the number of girls is now 100:350, but that’s okay to have because it’s still equivalent to the original 2:7 ratio.

So, using the new ratio 100:350, this means that there are 100 boys at the concert and 350 girls at the concert, and 350 is 250 more than 100 which proves what the question is asking. So there are 100 boys at the concert.

<u>Answer:</u> 100 boys at the concert

<em>I hope you understand and that this helps with your question! </em>:)

7 0
3 years ago
What are the apparent zeros of the function graphed above ?
gregori [183]

Answer:

-2,1,4

Step-by-step explanation:

we have

y=x^{3}-3x^{2} -6x+8

we know that

The zeros of the function are the values of x when the values of the function is equal to zero

In this problem the apparent zeros are

For x=-2

y=0

For x=1

y=0

For x=4

y=0



3 0
3 years ago
Read 2 more answers
How do I solve this problem
CaHeK987 [17]
Use cymath it gives you the answer :)
6 0
3 years ago
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