Ask question

Ask question

All categories

3 years ago

15

Dave bought 100 feet of string. He needs one 19.5 foot section and multiple 3.5 foot sections for a project. How many 3.5 foot s

ections of string can he get after using the 19.5 foot section?

1 answer:

BartSMP [9]3 years ago

6 0

After he used the 19.5 ft he can get 23 ....3.5 ft
100-19.5 then divide by 3.5 gives u 23

You might be interested in

Which theorem can you use to prove that AAEB is congruent to ACED?

sleet_krkn [62]

I don’t no sorry bye

6 0

3 years ago

Read 2 more answers

What is 3 dived by 5

Kay [80]

the simplest fraction is: 3/5

in decimal form its: 0.6

8 0

3 years ago

Simplify the following:

marin [14]

Answer:

no one can do it

Step-by-step explanation:

6 0

2 years ago

a line passes through the point (6, -9) and has a slope of 3/2. write an equation in point-slope form for this line

Stella [2.4K]

Y=3/2x is the answer

3 0

3 years ago

Read 2 more answers

Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)

Lisa [10]

Answer:

$f(x) = 4x^2 - 3x + 6$

Step-by-step explanation:

Quadratic function is given as $f(x) = ax^2 + bx + c$

Let's find a, b and c:

Substituting (0, 6):

$6 = a(0)^2 + b(0) + c$

$6 = 0 + 0 + c$

$c = 6$

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

$f(x) = ax^2 + bx + c$

$16 = a(2)^2 + b(2) + 6$

$16 = 4a + 2b + 6$

$16 - 6 = 4a + 2b + 6 - 6$

$10 = 4a + 2b$

$10 = 2(2a + b)$

$\frac{10}{2} = \frac{2(2a + b)}{2}$

$5 = 2a + b$

$2a + b = 5$ => (Equation 1)

Substituting (3, 33), and c = 6

$f(x) = ax^2 + bx + x$

$33 = a(3)^2 + b(3) + 6$

$33 = 9a + 3b + 6$

$33 - 6 = 9a + 3b + 6 - 6$

$27 = 9a + 3b$

$27 = 3(3a + b)$

$\frac{27}{3} = \frac{3(3a + b)}{3}$

$9 = 3a + b$

$3a + b = 9$ => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

$3a + b = 9$

$2a + b = 5$

$a = 4$

Replace a with 4 in equation 2.

$2a + b = 5$

$2(4) + b = 5$

$8 + b = 5$

$8 + b - 8 = 5 - 8$

$b = -3$

The quadratic function that represents the given 3 points would be as follows:

$f(x) = ax^2 + bx + c$

$f(x) = (4)x^2 + (-3)x + 6$

$f(x) = 4x^2 - 3x + 6$

6 0

3 years ago