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2 years ago

What does the number 1 in the equation mean in this context?

Mathematics

1 answer:

Sindrei [870]2 years ago

6 0

Answer:

last option at the bottom.

Step-by-step explanation:

we are told that the the equation

y = 0.73x + 1 represents the Length of the spring when a stretch force is applied,

basically y = length of spring and x = force applied.

from the graph, we can see that when stretch force = 0 (i.e x = 0)

the equation becomes y = 1.

That is to say that the spring has a length of 1 inch when stretch force is zero

(which basically is the same as the last option)

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The price of a 7-minute phone call is $1.05. What is the price of a 19-minute phone call

Leni [432]

Answer:

19.95

Step-by-step explanation:

if you take 1.05 times it by 19 you get your answer

7 0

2 years ago

If f(x) =4x2 - 8x - 20 and g(x) = 2x + a, find the value of a so that the y-intercept of the graph of the composite function (fo

amm1812

Answer:

The possible values are a = -2.5 or a = 4.5.

Step-by-step explanation:

Composite function:

The composite function of f(x) and g(x) is given by:

$(f \circ g)(x) = f(g(x))$

In this case:

$f(x) = 4x^2 - 8x - 20$

$g(x) = 2x + a$

$(f \circ g)(x) = f(g(x)) = f(2x + a) = 4(2x + a)^2 - 8(2x + a) - 20 = 4(4x^2 + 4ax + a^2) - 16x - 8a - 20 = 16x^2 + 16ax + 4a^2 - 16x - 8a - 20 = 16x^2 +(16a-16)x + 4a^2 - 8a - 20$

Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).

This means that when $x = 0, f(g(x)) = 25$ . So

$4a^2 - 8a - 20 = 25$

$4a^2 - 8a - 45 = 0$

Solving a quadratic equation, by Bhaskara:

$\Delta = (-8)^2 - 4(4)(-45) = 784$

$x_{1} = \frac{-(-8) + \sqrt{784}}{2*(4)} = \frac{36}{8} = 4.5$

$x_{2} = \frac{-(-8) - \sqrt{784}}{2*(4)} = -\frac{20}{8} = -2.5$

The possible values are a = -2.5 or a = 4.5.

5 0

2 years ago

How many 4X4in squares will i need to cover 20ft high 10 ft wide wall

IRINA_888 [86]

Find the area of the squares.
4 ×4 = 16

Find the area of the wall.
20 × 10 =200

Divide 200 by 16.
200 ÷ 16 = 12.5

You need 12.5 squares.

8 0

2 years ago

What is the <br> The product of -2 and a number minus six is greater than -18.

Fed [463]

Answer: x>-6

Explanation: -2x -6>-18
-2x >-12
-x>6
X>-6

6 0

2 years ago

A right triangle has side lengths 7, 24, and 25 as shown below.

ddd [48]

Answer:

Steps below

Step-by-step explanation:

The value depends on which angle is B, suppose ∠B is the opposite angle of side length 7

sin B = 7/25

cos B = 24/25

tan B = 7/24

if ∠B opposite to side length of 24

sin B = 24/25

cos B = 7/25

tan B = 24/7

4 0

2 years ago

What does the number 1 in the equation mean in this context?​

What does the number 1 in the equation mean in this context?