Which is the graph of y = log4(x+3)?

What two numbers multiplied = 6 but added = -5

Nastasia [14]

Answer:

-2, -3

Step-by-step explanation:

-2*-3=6

-2+-3=-5

6 0

2 years ago

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two glasses of milk and 3 snack bars have a total of 78 carbohydrates (carbs), and 4 glasses of milk and 3 snack bars have a to

padilas [110]

Answer:

Each glass of milk is 9 carbs.

Each snack bar is 19.7 carbs.

Step-by-step explanation:

1. I know that 2 glasses of milk with 3 snack bars is 78 carbs.

The next part of the sentence has two times the amount of milk with the same amount of snack bars for 96 carbs.

Now, I will find the difference in the amount of carbs.

96 - 78 = 18 carbs.

So two glasses of milk = 18 carbs.

18 ÷ 2 = 9 carbs

So, each glass of milk is 9 carbs.

2. Since we know this, we can subtract the amount of carbs from the glasses of milk from the total amount of carbs.

78 - 19 = 59

In the first scenario, there are 59 carbs per 3 snack bars.

To find the amount of each snack bar, divide 59 by 3.

59 ÷ 3 = 19.7 when rounded to the nearest tenth.

Therefore, each snack bar is 19.7 carbs.

3 0

2 years ago

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The sum of three numbers is 8. The third is 9

Ierofanga [76]

Answer:

→ First value is 1

→ Second value is 2

→ Third value is 5

Step-by-step explanation:

• let numbers be x, y and z

${ \tt{z = 8y - 9 - - - (eqn \: 1)}} \\ \\ { \tt{10x = 8y - 7 - - - (eqn \: 2)}} \\ \\ { \tt{x + y + z = 8 - - - (eqn \: 3)}}$

• from eqn 2, make x the subject:

${ \tt{x = \frac{8y - 7}{10} }} \\$

• substitute all variables in eqn 3:

${ \tt{ \frac{8y - 7}{10} + y + 8y - 9 = 8}} \\ \\ { \tt{8y - 7 + 10y + 80y - 90 = 80}} \\ \\ { \tt{98y = 177}} \\ \\ { \boxed{ \tt{ \: y = 1.8}}}$

• find z

${ \tt{z = 8y - 9}} \\ \\ { \tt{z = 8(1.8) - 9}} \\ \\ { \tt{z = 14.4 - 9}} \\ \\ { \boxed{ \tt{ \: z = 5.4 \: }}}$

• find x:

${ \tt{x = \frac{8(1.8) - 7}{10} }} \\ \\ { \tt{x = \frac{7.4}{10} }} \\ \\ { \boxed{ \tt{ \: x = 0.74 \: }}}$

Rounding to nearest value:

${ \boxed{ \rm{x = 1}}} \\ { \boxed{ \rm{y =2 }}} \\ { \boxed{ \rm{z = 5}}}$

7 0

2 years ago

These both go together

Airida [17]

a) We know that the probability Jane will win is 0.2, and draws is 0.3, which leaves the probability of her losing to be 0.5 (1 - 0.2 - 0.3 = 0.5).

I'll begin by filling in for the first game:

win = 0.2, draw = 0.3, lose = 0.5

Next, we'll fill in for if she wins, draws, or loses the second game. The probabilities would be the same as the first game for the second game.

Win (0.2): win = 0.2, draw = 0.3, lose = 0.5

Draw (0.3): win = 0.2, draw = 0.3, lose = 0.5

Lose (0.5): win = 0.2, draw = 0.3, lose = 0.5

b) To find the probability that Jane will win both games, we need to multiply the probability of Jane winning the first game by the probability of her winning the second game.

0.2 x 0.2 = 0.04

Hope this helps! :)

6 0

3 years ago

Enter an equation of the form y= mx for the line that passes through the

hammer [34]

Answer:

y = 13x

Step-by-step explanation:

gradient = 13

x = 0

y = 0

$\frac{Δy}{Δx}$

so $\frac{y - 0}{x - 0}$ = 13

cross multiply and you get

y = 13x

5 0

2 years ago