What is new equation if the function y=2^x is translated 5 units to the right and 1 unit down?

Solve the equation using square roots. X^2+16=0

alexgriva [62]

Answer:

The answer is :

x₁ = 4

x₂ = -4

Step-by-step explanation:

Let's solve the equation using square roots.

X^2+16=0

x² + 16 = 0

x² = -16 (Adding 16 at both sides of the equation)

√x² = i√16 (Square root to both sides of the equation)

x = +/- 4i (Roots of the solution)

x₁ = 4i

x₂ = -4i

5 0

3 years ago

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In a group of 15 children the ratio of the boy : the girl is 2: 3: 5 more girls join the group. Calculate the percentage of boys

marta [7]

Answer:

Percentage of new group boys = 30%

Percentage decrease for the boys = 10%

Increase percent of the girls = 10%

Step-by-step explanation:

Given:

Number of children = 15

Ratio (Boys to Girls) = 2 : 3

Number of more girls join = 5

Find:

Percentage of boys in new group

Percentage decrease for the boys

Increase percent of the girls

Computation:

Number of boys = 15[2/5]

Number of boys = 6

Number of girls = 15[3/5]

Number of girls = 9

Percentage of boys = [6 / 15]100

Percentage of boys = 40%

Percentage of girls = [9 / 15]100

Percentage of girls = 60%

New number of students = 15 + 5

New number of students = 20

New number of boys = 6

New number of girls = 9 + 5 = 14

Percentage of new group boys = [6 / 20]100

Percentage of new group boys = 30%

Percentage of new group girls = [14 / 20]100

Percentage of new group girls = 70%

Percentage decrease for the boys = 40% - 30%

Percentage decrease for the boys = 10%

Increase percent of the girls = 70% - 60%

Increase percent of the girls = 10%

8 0

3 years ago

How much money should a student place in a time deposit in a bank that pays 1.1% compounded annually so that he will have Php 20

STatiana [176]

Let us say that:
P = present value
F = future value
i = interest rate
n = period

P = F / [ (1 + i ) ^n ]
P = 200000 / [ (1 + 0.011) ^6 ]
P = 187293.65

Therefore the student must put up Php 187,293.65

5 0

3 years ago

I need help with this no link pls

Naddika [18.5K]

Answer:

1. x = 36 equation is x + 2x + 9 = 117, then solve for x

2. x = 50 equation is x + x + 12 = 112, then solve for x

Step-by-step explanation:

4 0

3 years ago

IQ scores for adults aged 20 to 34 years are normally distributed according to N (110,25). Use the empirical rule to answer the

xxTIMURxx [149]

Since the mean of the distribution is 110, and the distribution is normal, then 50% of the the people will have scores below 110.

6 0

3 years ago