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3 years ago

Given b(x)=|x+4|, what is b(-10)

Mathematics

1 answer:

stira [4]3 years ago

8 0

Answer:

b(-10)= -6

Step-by-step explanation:

b(x)= |x+4|

b(-10)= |-10+4|

b(-10)= -6

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The graph below shows the height of a kicked soccer ball f(x), in feet, depending on the distance from the kicker x, in feet: Gr

siniylev [52]

Because the vertex of the parabola is at (16,0), its equation is of the formy = a(x-10)² + 15
The graph goes through (0,0), thereforea(0 - 10)² + 15 = 0100a = -15a = -0.15
The equation is y = f(x) = -0.15(x - 10)² + 15
The graph is shown below.
Part A
Note that y = f(x).
The x-intercepts identify values where the function or y=0. The x-intercepts occur at x=0 and x=20, or at (0,0) and (20,0).
The maximum value of y occurs at the vertex (10, 15) because the curve is down due to the negative leading coefficient of -0.15.
The curve increases in the interval x = (-∞, 10) and it decreases in the interval x = (10, ∞).
Part B
When x=12, y = -0.15(12 - 10)² + 15 = 14.4When x=15, y = -0.15(15 - 10)² + 15 = 11.25
The average rate of change between x =12 to x = 15 is(11.25 - 14.4)/(15 - 12) = -1.05
This rate of change represents the slope of the secant line from A to B. It approximates the rate at which f(x) decreases in the interval x =[12, 15].

5 0

3 years ago

Read 2 more answers

it took a submarine 30 seconds to sink 225 feet, moving at a constant speed. The captain wants to know how much feet does he the

icang [17]

Answer:

Dont count me if I'm wrong but if you divide 225 by 30 you get 7.5

So your answer should be 7.5

4 0

3 years ago

Find the sum of the geometric sequence. three divided by two, three divided by eight, three divided by thirty two, three divided

Lynna [10]

Answer: we have that

[3/2,3/8,3/32,3/128,3/512]

the sum of the geometric sequence is [3/2+3/8+3/32+3/128+3/512]

=(1/512)*[256*3+64*3+16*3+4*3]

=(3/512)*[256+64+16+4]

=(3/512)*[340]

=(1020/512)

=255/128---------> 1.9922

the answer is

1.9922

another way to calculate it

is through the following formula

∑=ao*[(1-r^n)/(1-r)]

where

ao---------> is the first term

r----------> is the common ratio between terms

n----------> is the number of terms

ao=1.5

r=1/4-----> 0.25

n=5

∑=1.5*[(1-0.25^5)/(1-0.25)]-------------> 1.99

Step-by-step explanation: we have that

[3/2,3/8,3/32,3/128,3/512]

the sum of the geometric sequence is [3/2+3/8+3/32+3/128+3/512]

=(1/512)*[256*3+64*3+16*3+4*3]

=(3/512)*[256+64+16+4]

=(3/512)*[340]

=(1020/512)

=255/128---------> 1.9922

the answer is

1.9922

another way to calculate it

is through the following formula

∑=ao*[(1-r^n)/(1-r)]

where

ao---------> is the first term

r----------> is the common ratio between terms

n----------> is the number of terms

ao=1.5

r=1/4-----> 0.25

n=5

∑=1.5*[(1-0.25^5)/(1-0.25)]-------------> 1.99

8 0

3 years ago

How can you keep a math teacher-focused

jeka94

Answer:

how you would keep your math teacher focused

Step-by-step explanation:

try sending your teacher reminder emails, or put some sticky notes on their desk

5 0

2 years ago

What is the simplest form of (5x-8)(2x+4)

tino4ka555 [31]

Let's solve step by step

So all we need to do is simplify the equation

(5x − 8)(2x + 4)

= (5x + −8)(2x + 4)

= (5x)(2x) + (5x)(4) + (−8)(2x) + (−8)(4)

= 10x^2 + 20x − 16x − 32

= 10x^2 + 4x − 32

Therefore the simplified form of this is 10x^2 + 4x − 32
Hope this helps! - Alyssa

(Please mark as Brianliest Answer, Thanks)

8 0

3 years ago