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3 years ago

Evaluate 4g - 12 when g =5

Mathematics

1 answer:

solniwko [45]3 years ago

5 0

4g-12 g=5. 4(5)-12=8. 4 times 5 equals 20 and 20-12 equals 8. So your answer is 8

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F(x)=2x-4. F(x)=2x-4 f-1x=_x+_. Complete the inverse function

natita [175]

Answer:

$f^{-1}(x) = \frac{1}{2}(x +4)$

Step-by-step explanation:

Given

$f(x) = 2x - 4$

Required

Determine the inverse function

Start by replacing f(x) with y

$y = 2x - 4$

Swap the positions of y and x

$x = 2y - 4$

Make y the subject: Add 4 to both sides

$x+4 = 2y - 4+4$

$x+4 = 2y$

Make y the subject: Divide through by 2

$\frac{1}{2}(x + 4) = y$

$y = \frac{1}{2}(x + 4)$

Replace y with f-1(x)

$f^{-1}(x) = \frac{1}{2}(x +4)$

3 0

2 years ago

Benito made punch with 26 ounces of grape juice, 38 ounces of apple juice, and 52 ounces of lemon sparkling water. Then he made

natita [175]

26
38
+52
---------
116

Add all of the numbers because they are like-terms (because they are all ounces)

he made 8 ounce servings, so 116/8 = 14.5 there are 4 ounces left

6 0

2 years ago

Search cos jk and tan jk knowing that sin jk = 8/3

aleksley [76]

Answer:

cosjk = √55 i/3

tanjk = 8/√55 i

Step-by-step explanation:

Given

sin jk = 8/3

According to SOH CAH TOA

Sin theta = opposite/hypotenuse = 8/3

Opposite = 8

hypotenuse = 3

Get the adjacent using the pythagoras theorem

hyp² = opp²+adj²

adj² = hyp² - opp²

adj² = 3² - 8²

adj² = 9-64

adj² = -55

adj = √-55

adj = √55 i (i = √-1)

Get cosjk

cosjk = adj/hyp

cosjk = √55 i/3

Get tanjk

tanjk = opp/adj

tanjk = 8/√55 i

3 0

3 years ago

A prairie dog left its burrow 5 feet underground and started digging deeper into the ground. It digs straight down at a constant

SpyIntel [72]

Building and solving an equation to model the situation, it is found that it takes 4 min for the prairie dog to reach 13 feet underground.

Initially, the dog is 5 feet underground.

Each minute, the dog goes 2 more feet underground.

Hence, the underground height of the dog after t seconds is given by:

$h(t) = 5 + 2t$

The time it takes for the dog to reach 13 feet underground is t for which h(t) = 13, hence:

$h(t) = 5 + 2t$

$13 = 5 + 2t$

$2t = 8$

$t = \frac{8}{2}$

$t = 4$

It takes 4 min for the prairie dog to reach 13 feet underground.

A similar problem is given at brainly.com/question/25290003

7 0

2 years ago

Evaluate f(x - 2) when f(x) = 4x² - 4x – 2

ivann1987 [24]

Answer:

Step-by-step explanation:

8 0

2 years ago