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3 years ago

Given the function f(x) = 3x + 1, evaluate f(a + 1). 3 a + 2 3 a + 4 3 a + 1

Mathematics

1 answer:

Tanya [424]3 years ago

5 0

Answer:

f(a + 1) = 3a + 4

Step-by-step explanation:

Given the function is:

f(x) = 3x + 1

To determine f(a + 1) we have to substitute (a + 1) in place of 'x'.

Therefore, we have:

f(a + 1) = 3(a + 1) + 1

= 3a + 3 + 1

= 3a + 4

['a' could be any real number.]

So, f(a + 1) = 3a + 4 is the answer.

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Need help can anyone help me???

Paladinen [302]

Answer:

it is greater than 45°

Step-by-step explanation:

From the relationship of angles and secants/tangents, we have ...

m∠GSO = (long arc GO -arc GT)/2

Solving for (long arc GO), we have ...

2(m∠GSO) +arc GT = (long arc GO)

We know that (long arc GO) > 180°, so we can write ...

2(m∠GSO) +90° > 180° . . . . arc GT = 90°

2(m∠GSO) > 90° . . . . . . subtract 90°

m∠GSO > 45° . . . . . . . . divide by 2

_____

<em>Alternate solution</em>

Inscribed ∠GOT has half the measure of arc GT, so is 45°.

You know that if angle G were 90°, then the right triangle would be isosceles, and angle S would also be 45°. In this triangle, arc GTO is less than 180°, so angle G is less than 90°.

When angle G gets smaller, the sum of angles remains the same, so angle S must be larger than 45°.

This reasoning is written more formally in the math above.

8 0

3 years ago

1 point

swat32

Answer:

$\log_{10}(147) = 2.1673$

Step-by-step explanation:

Given

$\log_{10} 3 = 0.4771$

$\log_{10} 5 = 0.6990$

$\log_{10} 7= 0.8451$

$\log_{10} 11 = 1.0414$

Required

Evaluate $\log_{10}(147)$

Expand

$\log_{10}(147) = \log_{10}(49 * 3)$

Further expand

$\log_{10}(147) = \log_{10}(7 * 7 * 3)$

Apply product rule of logarithm

$\log_{10}(147) = \log_{10}(7) + \log_{10}(7) + \log_{10}(3)$

Substitute values for log(7) and log(3)

$\log_{10}(147) = 0.8451 + 0.8451 + 0.4771$

$\log_{10}(147) = 2.1673$

3 0

2 years ago

The side lengths are 9,12,18. is this a right triangle?

andrezito [222]

No the side lengths of 9,12, and 18 doesn’t form a right triangle. Posted a picture showing all the side length that is a right triangle.

4 0

2 years ago

A christmas gift to you to earn some points

Katyanochek1 [597]

Answer:

2229 thanks, merry early Christmas

6 0

3 years ago

Your parents give you $20 to help buy the new pair of shoes shown. After you buy the shoes, you have $5.50 left. How much money

Mandarinka [93]

Answer:

$45.45

Step-by-step explanation:

Please find attached an image of the shoe that was used in answering this question

From the image, the price of the shoe is $59.95

Let x be the amount you had with you

The equation that would be used to solve this question is :

(x + 20) - $59.5 = $5.50

Solve for x

x = $45.45

4 0

3 years ago