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AnnZ [28]
4 years ago
7

Find two consecutive integers whose sum is 67.

Mathematics
1 answer:
Vlada [557]4 years ago
3 0
Let the smaller integer be x.
The next larger consecutive integer is 1 more than x, so it's x + 1.

x + x + 1 = 67

2x + 1 = 67

Answer is option B.
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seraphim [82]

Given:

The value of the function g(x) is −2 when x=−5 and is 5.7 when x=6.

To find:

The equation of the function.

Solution:

The value of the function g(x) is −2 when x=−5. It means the graph of function passes through (-5,-2).

The value of the function g(x) is 5.7 when x=6. It means the graph of function passes through (6,5.7).

The equation of function g(x) that passes through (-5,-2) and (6,5.7) is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-(-2)=\dfrac{5.7-(-2)}{6-(-5)}(x-(-5))

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y+2=0.7(x+5)

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y=0.7x+3.5-2

y=0.7x+1.5

Therefore, the equation of function g(x) is y=0.7x+1.5.

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