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3 years ago

Find the y-intercept of the function. y = 6^x

Mathematics

1 answer:

dsp733 years ago

6 0

Y-intercept of f(x) is a value of function for x = 0.

y = 6^x ⇒ f(x) = 6^x

f(0) = 6^0 = 1

Answer: (0; 1)

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I need help with theses questions

Ronch [10]

The relationship of the given angles are:

1. A. Adjacent

2. B. vertical

3. B. vertical

4. E. linear pair

5. C. complementary

6. D. supplementary

7. C. complementary

8. A. adjacent

9. A. adjacent

10. D. supplementary

11. A. adjacent

12. C. complementary.

<h3>How to Determine the Relationship Between Angles?</h3>

Different pairs of angles are related to each other in several ways. The explanation below shows the relationship between the given angles.

1. Angles 2 and 3 share a common vertex and a common side, therefore:

<2 and <3 are: A> Adjacent

2. <3 and <4 are non-adjacent angles that share a common vertex and are opposite each other. Thus:

<3 and <4 are: B. vertical

3. <1 and <3 are: B. vertical

4. <1 and <2 lie on a straight line and are adjacent to each other. Therefore, they are a: linear pair

5. 78 + 12 = 90 degrees. Therefore, their relationship is that they are: C. complementary

6. 123 + 57 = 180. Therefore, they are: D. supplementary

7. Angles a and b form a right angle. Therefore, they are: C. complementary

8. <1 and <2 are: adjacent

9. <3 and <4 are: A. adjacent

10. 90 + 90 = 180, therefore, the angles are: D. supplementary

11. Both angles are: A. adjacent

12. 40 + 50 = 90 degrees. Therefore, the angles are: C. complementary.

Learn more about the relationship of angles on:

brainly.com/question/12591450

#SPJ1

4 0

1 year ago

Debra plans to invest $2,250 for 10 years. She can invest in a savings account that pays 4% simple intrest or a savings account

Diano4ka-milaya [45]

Answer:

$\$180.55$

Step-by-step explanation:

step 1

<u><em>Simple interest</em></u>

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04$

substitute in the formula above

$A=2,250(1+0.04*10)$

$A=2,250(1.4)$

$A=\$3,150$

step 2

<u><em>Interest compounded annually</em></u>

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04\\n=1$

substitute in the formula above

$A=2,250(1+\frac{0.04}{1})^{1*10}$

$A=2,250(1.04)^{10}$

$A=\$3,330.55$

step 3

Find the differences between the two final amounts

$A=\$3,330.55-\$3,150=\$180.55$

5 0

3 years ago

There are (4^9)^5 x 4^0 books at the library. What is the total number of books at the library?

sergejj [24]

Answer:

You multiply 5 by the exponents and 4^0 is just 1, so 4^45•1=4^45. Hope this helped!

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Help me plzplzplzplzplz

Alona [7]

The Answer Is Negative 3

7 0

3 years ago

Read 2 more answers

F (x) = 4x + 7. Find the inverse of f(x).

Brilliant_brown [7]

Answer:

C. f(x) = x - 7 all over 4

Step-by-step explanation:

NB: Let f(x) = y

Exchange X and Y

Make y the subject

f(x) = 4x + 7

y = 4x + 7

x = 4y + 7

x - 7 = 4y

x - 7 all over 4 = 4 ÷ 4

y = x - 7 all over 4

6 0

3 years ago