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ELEN [110]
3 years ago
5

287 less than the quantity c times 220 equals 103

Mathematics
1 answer:
Rudik [331]3 years ago
7 0
220c-287=103
add 287 to both sides
220c=390
divide both sides by 220
c=1.77
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3×42 using partial products
Mars2501 [29]

Answer:

126

Step-by-step explanation:

Although I don't know what you mean by partial products here is a step by step.

42*3

120+6

126

3 0
3 years ago
If NO = 17 and NP = 5x -6, find the value of X. Then find NP and NO.
galina1969 [7]
Since NO=NP (as seen by the 2 lines next to each other), we get 
17=5x-6. Adding 6 to both sides, we get 23=5x and by dividing 5 on both sides we get x=23/5
6 0
3 years ago
What is the vertex of this quadratic function? f(x) = 10x2 + 5x − 7 A. (0.25, -5.250) B. (0.25, -7.625) C. (-0.25, -5.250) D. (-
atroni [7]

E

Given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 ), then

The x-coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

y = 10x² + 5x - 7 is in standard form

with a = 10, b = 5 and c = - 7, hence

x_{vertex} = - \frac{5}{20} = - \frac{1}{4}

Substitute this value into the equation for y-coordinate

y = 10 (- \frac{1}{4})² + 5 (- \frac{1}{4}) - 7

  = \frac{5}{8} - \frac{5}{4} - 7

  = \frac{5}{8} - \frac{10}{8} - \frac{56}{8} = - \frac{61}{8}

vertex = (- 0.25, - 7.625 ) → E



6 0
3 years ago
I don’t know what I’m doing but evaluate if f(1)
Ierofanga [76]

11

first you have to read the graph to see what f(x) is. You know that when x = 0 then y= - 1 so what you have so far is y = ax^2 - 1. You have to guess a bit to see what a is.

Just guessing (and that's all you can do unless you have more information to the question) it looks like when y = 0 then x = about 1.4 or -1.4. That's a good number to have.

y = 1/2 x^2 - 1 is probably the original equation that produced the graph.

So let's check it out.

0 = 1/2 x^2 - 1    Add 1 to both sides.

1 = 1/2 x^2          Multiply by 2

2 = x^2               Take the square root of both sides.

sqrt(2) = sqrt(x^2)

x = +/-  sqrt(2)

x = +/- 1.4142 about.  So our graph is a pretty good approximation of y = (1/2)x^2 - 1

Now what you want is f(x).

y and f(x) are very close to being equal so we have f(x) = 1/2 x^2 - 1

Now you can solve for f(1)

f(1) = 1/2 (1)^2 - 1

f(1) = 1/2 (1) - 1

f(1) = 1/2 - 1

f(1) = - 1/2 <<<<< Answer.

3 0
4 years ago
If r(x) = 3x – 1 and s(x) = 2x + 1, which expression is equivalent to (r/s)(6)
natita [175]

Answer:

r(6)/s(6) = 3(6) -1

             --------------

              2(6) +1

Step-by-step explanation:

r(x) = 3x-1

Let x=6

r(6) = 3(6) -1

     

s(x) = 2x+1

Let x=6

s(6) = 2(6) +1

       

r(6)/s(6) = 3(6) -1

             --------------

              2(6) +1

3 0
3 years ago
Read 2 more answers
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