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IrinaVladis [17]
2 years ago
15

The sum of a number is 4 less then 2 times a number is 35 what is the number?

Mathematics
1 answer:
Artist 52 [7]2 years ago
5 0
<h2>Answer:</h2>

<em>21.5</em>

<h2>Step-by-step explanation:</h2>
  1. 35 divided by 2 = 17.5
  2. 17.5 + 4 = 21.5
  3. <u>Just do the inverse</u>
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For the function f(x)=ax^3+bx^2-5x+9, determine the values of a and b so that f(-1)=12 and f'(-1)=3
Alecsey [184]

If

<em>f(x)</em> = <em>ax</em> ³ + <em>bx</em> ² - 5<em>x</em> + 9

then

<em>f '(x)</em> = 3<em>ax </em>² + 2<em>bx</em> - 5

Given that <em>f</em> (-1) = 12 and <em>f</em> '(-1) = 3, we get the system of equations

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or

-<em>a</em> + <em>b</em> = -2

3<em>a</em> - 2<em>b</em> = 8

Multiply through the first equation by 2 and add it to the second one to eliminate <em>b</em> and solve for <em>a</em> :

2(-<em>a</em> + <em>b</em>) + (3<em>a</em> - 2<em>b</em>) = 2(-2) + 8

-2<em>a</em> + 2<em>b</em> + 3<em>a</em> - 2<em>b</em> = -4 + 8

<em>a</em> = 4

Substitute this into the first equation above to solve for <em>b</em> :

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Scorpion4ik [409]

Answer:

HB = 13

Step-by-step explanation:

In triangle GHJ, points A, B, C are mid points of the sides GH, HJ, GJ respectively.

Therefore by Mid-segment Theorem.

AC = \frac{1}{2}  HJ \\  \\ 3y - 5 =  \frac{1}{2} (4y + 2) \\  \\  3y - 5 =  \frac{1}{2} \times 2 (2y + 1) \\  \\  3y - 5 =  2y + 1\\  \\ 3y - 2y = 5 + 1 \\  \\ y = 6 \\  \\ HJ = 4y + 2  \\  \\  HJ = 4 \times 6 + 2  \\  \\ HJ = 24 + 2  \\  \\ HJ = 26  \\  \\ HB= \frac{1}{2}  HJ \\  \\ HB= \frac{1}{2}   \times 26 \\  \\ \huge \red{ \boxed{ HB= 13}}

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3 years ago
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3 years ago
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