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3 years ago

IF YOU KNOW SPANISH AND ALGEBRA PLEASE HELP

Mathematics

1 answer:

Serggg [28]3 years ago

4 0

Answer:

See below for answers and explanations

Step-by-step explanation:

Part A:

f(x) = -x² + 4x - 10

f(2) = -(2)² + 4(2) - 10

f(2) = -4 + 8 - 10

f(2) = 4 - 10

f(2) = -6

Part B:

g(x) = 5x + 1

g(6) = 5(6) + 1

g(6) = 30 + 1

g(6) = 31

Part C:

f(x) = -x² + 4x - 10

f(-1) = -(-1)² + 4(-1) - 10

f(-1) = -1 - 4 - 10

f(-1) = -5 - 10

f(-1) = -15

Part D:

g(x) = 5x + 1

16 = 5x + 1

15 = 5x

3 = x

x = 3

You might be interested in

Quadratic equation whose vertex is (2,3) and y intercept is 11

never [62]

Answer:

y = 2(x - 2)² + 3 vertex form

y = 2x² - 8x + 11 standard form

Step-by-step explanation:

Vertex form

y = a(x - h)² + k

(h, k) = (2, 3)

y = a(x - 2)² + 3

To find "a" plug in the y-intercept (0, 11)

11 = a(-2)² + 3

11 = 4a + 3

Subtract 3 from both sides

8 = 4a

a = 2

y = 2(x - 2)² + 3

Expand

y = 2(x² - 4x + 4) + 3

y = 2x² - 8x + 11

5 0

3 years ago

The 16th term of an AP is three times the 5th term.If the 12th term is 20 more the 7th term.Find the first term and the common d

Vlad1618 [11]

<h3>Answer:</h3>

First term = 6
Common difference= 4

<h3>Solution:</h3>

Let's take the first term as a and the common difference be d

The formula to find the nth term of an arithmetic progression is given by :

an = a + ( n - 1 ) d

According to question, we have :

16th term of an AP is three times the 5th term.

➝ a16 = 3 ( a5 )

➝ a + ( 16 - 1 )d = 3 ( a + ( 5 - 1 )d )

➝ a + 15d = 3 ( a + 4d )

➝ a + 15d = 3a + 12d

➝ 15d - 12d = 3a - a

➝ 3d = 2a

➝ 2a = 3d

➝ a = 3d/2‎ㅤ‎ㅤ‎ㅤ⸻ ( 1 )

And, the 12th term is 20 more the 7th term.

➝ a12 - ( a7 ) = 20

➝ a + ( n - 1 )d -( a + ( n - 1 )d ) = 20

➝ a + ( 12 - 1 )d - + a + ( 7 - 1 )d ) = 20

➝ a + 11d - ( a + 6d ) = 20

➝ a - a + 11d - 6d = 20

➝ 5d = 20

➝ d = 20/ 5

➝ d = 4

Using equation ( 1 )

➝ a = 3d / 2

➝ a = ( 3 × 4 ) / 2

➝ a = 12 / 2

➝ a = 6

3 0

2 years ago

I don't understand this at all

FinnZ [79.3K]

What do you not understand?

5 0

3 years ago

The angle measures of triangle ABC are given:

laila [671]

Answer:

X=20

Explanation:

7 0

3 years ago

If you purchase 27 guppies, and the increase rate of 35% per year,how many guppies will you have after 3 years

dem82 [27]

Answer:

Step-by-step explanation:

year 1: 35% of 27

convert 35% into a decimal :0.35

0.35 x 27= 9.45

27+ 9.45= 36.45 , thats what you have left at the end of year 1

year 2: 35% of 36.45

0.35 x 36.45= 12.7575

36.45 + 12.7575= 49.2075, thats whats left at the end of year 2

year 3: 35% of 49.2075

0.35 x 49.2075= 17.222625

49.2075+ 17.222625= 66.430125, thats whats left at the end of the 3rd year.

you cant have 66.430125 of a guppy so it rounds to a whole number- 66

let me know if this was helpful :)

7 0

3 years ago