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3 years ago

Which value of b would make 16x²-bx + 25 a perfect square trinomial?

Mathematics

1 answer:

blondinia [14]3 years ago

8 0

Answer:

b = 40 and -40

Step-by-step explanation:

General form of Perfect square trinomial is a 2 + 2 a b + b 2

Therefore from 16 x 2 − b x + 25 a 2 = √ 16 x 2 , b 2 = 25 , then a = ± 4 x , b = ± 5 take consideration a=4x and b=-5 (different sign), then − b x = 2 ( 4 x ) ( − 5 ) − b x = − 40 x b = 40

The perfect square is ( 4 x − 5 ) 2 = 16 x 2 − 40 x + 25 .

if we consider a=4x and b=5 (same sign), then − b x = 2 ( 4 x ) ( 5 ) − b x = 40 x b = − 40

The perfect square is ( 4 x + 5 ) 2 = 16 x 2 + 40 x + 25 .

The first solution ( 4 x − 5 ) 2 is the best solution after comparing the expression given. I hope this helps, xx .

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A car moving at a constant speed passed a timing device at t=0. After 7 seconds, the car has traveled 567 ft. Write a linear fu

Alisiya [41]

Answer:

The required equation is:

d = 81t

f(t) = 81t

Step-by-step explanation:

We know that

distance = rate × t

Given that a car moving at a constant speed passed a timing device at t=0.

In other words, at t = 0 second, d = 0 ft.

After 7 seconds, the car has traveled 567 ft.

In other words, at t = 7 seconds, d = 567 ft

Thus, there are two points

(0, 0)

(7, 567)

Finding the slope between (0, 0) and (7, 567)

Using the formula

Slope = Rate of change = [y₂-y₁] / [x₂-x₁]

= [567 - 0] / [7-0]

= 567 / 7

= 81 ft/second

Given that the car is moving at constant speed. So, we dont't have any other factor or term to consider

Thus, the required equation is:

distance = rate × t

d = 81 × t

d = 81t

f(t) = 81t

VERIFICATION

Given the equation

d = 81 × t

Put t = 0 to find the disatance in 1 sec

d = 81 × (0) = 0 ft

Put t = 7 to find the distance in 7 seconds

d = 81 × (7) = 567 ft

6 0

3 years ago

padilas [110]

Theyre all natural numbers, whole numbers, integers and rational numbers

7 0

3 years ago

At a harvest 16 ears are being picked foot every 18 peppers. If 19 peppers have been picked, how many eats of corn have been pic

ExtremeBDS [4]

The number of eats of corn which have been picked is; 16.9 corns.

<h3>How many eats of corn have been picked?</h3>

According to the question; 16 eats of corn are being picked foot every 18 peppers. In essence, the ratio of corns to peppers is; 16/18.

Hence, it follows that the number of corns which corresponds to 19 peppers been picked can be evaluated as follows;

16/18 = x/19

x = (19×16)/18

x = 16.9 eats of corn.

Read more on ratios;

brainly.com/question/13513438

#SPJ1

7 0

2 years ago

Help?What is the value of s? ____ units

arsen [322]

Answer:

s = 17 units

Step-by-step explanation:

The Pythagorean theorem applies:

8^2 + 15^2 = s^2

64 + 225 = s^2

289 = s^2

√289 = 17 = s

The value of s is 17 units.

3 0

4 years ago

A bakery sells vanilla cupcakes and chocolate cupcakes. It sold 276 vanilla cupcakes in a day. 8% of the cupcakes sold that day

kkurt [141]

Answer:

hello!!!

300 cupcakes

please read the explanation.. it always helps... trust me...

Step-by-step explanation:

alrighty here it goes...

okay.. so we start by reading the problem (duh) but also underlining the important numbers that we need. yes, it really is that simple, trust me....

okay so the percentage of chocoalte cupcakes was 8% and the amount of vanilla cupcakes was 276.

we start by taking 100% - 8% = 92% so the amount of vanilla cupcakes sold was 276 which is also 92% of the total amount of cupcakes.

so now we need to find out 92% of what number gets us 276.

the percentage formula (in this problem) should be as follows:

92/100 x (total amount of cupcakes) = 276

to solve for total amount of cupcakes you do 276 x 100 then you divide by 92 to get your answer (which is 300)

i hope this helps!!!

4 0

2 years ago