Answer:
y=2x-5
Step-by-step explanation:
The slope-intercept form of an equation looks like y=mx+b. Where m is the slope and b is the y-intercept. The slope is already given to us, so m is 2.
To find b use the equation 
. So, to find the y-intercept use b=-7-(2*-1). This equals b=-5.
So, plug in the values to get the final equation y=2x-5.
Answer:
The correct option is B) 
Step-by-step explanation:
Consider the provided function.
and 
We need to divide f(x) by d(x)
As we know: Dividend = Divisor × Quotient + Remainder
In the above function f(x) is dividend and divisor is d(x)
Divide the leading term of the dividend by the leading term of the divisor:
Write the calculated result in upper part of the table.
Multiply it by the divisor: 
Now Subtract the dividend from the obtained result:
Again divide the leading term of the obtained remainder by the leading term of the divisor: 
Write the calculated result in upper part of the table.
Multiply it by the divisor: 
Subtract the dividend:
Divide the leading term of the obtained remainder by the leading term of the divisor: 
Multiply it by the divisor: 
Subtract the dividend:
Therefore,
Dividend = 
Divisor = 
Quotient = 
Remainder = 0
Dividend = Divisor × Quotient + Remainder
Hence, the correct option is B)
Answer:
Part 1
a. .27 < .50
b. .33 < .75
c. 4.60 > 3.89
d. .76 > .08
e. .09 < .11
f. 3.33 > 3.30
Part 2
.27(2)= .54
.50(1)= .50
.27(2)= .54 is larger than .50 because if it was money, .54 is greater than .50
Step-by-step explanation:
Answer:
34.3 in, 36.3 in
Step-by-step explanation:
From the question given above, the following data were obtained:
Hypothenus = 50 in
1st leg (L₁) = L
2nd leg (L₂) = 2 + L
Thus, we can obtain the value of L by using the pythagoras theory as follow:
Hypo² = L₁² + L₂²
50² = L² + (2 + L)²
2500 = L² + 4 + 4L + L²
2500 = 2L² + 4L + 4
Rearrange
2L² + 4L + 4 – 2500 = 0
2L² + 4L – 2496 = 0
Coefficient of L² (a) = 2
Coefficient of L (n) = 4
Constant (c) = –2496
L = –b ± √(b² – 4ac) / 2a
L = –4 ± √(4² – 4 × 2 × –2496) / 2 × 2
L = –4 ± √(16 + 19968) / 4
L = –4 ± √(19984) / 4
L = –4 ± 141.36 / 4
L = –4 + 141.36 / 4 or –4 – 141.36 / 4
L = 137.36/ 4 or –145.36 / 4
L = 34.3 or –36.3
Since measurement can not be negative, the value of L is 34.3 in
Finally, we shall determine the lengths of the legs of the right triangle. This is illustrated below:
1st leg (L₁) = L
L = 34.4
1st leg (L₁) = 34.3 in
2nd leg (L₂) = 2 + L
L = 34.4
2nd leg (L₂) = 2 + 34.3
2nd leg (L₂) = 36.3 in
Therefore, the lengths of the legs of the right triangle are 34.3 in, 36.3 in
Answer:
k= -2.5
Step-by-step explanation:
