What is the meaning of the unknown factor and quotient for 24 divided by 4

The graph represents the cost c

ANTONII [103]

Y=5x + 0.5
Hope this helps you

7 0

3 years ago

Show that the equation x^3+7x-4=0 has a solution between x=0 and x=1

Aleksandr [31]

Step-by-step explanation:

Using the Intermediate Value Theorem, the following is applied:

"If f(x) is a continuous on interval [a,b] and we have two points f(a) and f(b) then there must be some value c such that f(a)<f(c)<f(b).

So here there must be a c such that

$f(0) < f(c) < f(1)$

Note: F(c)=0, the questions that the function have a solution between 0 and 1, so that means we must have some value, c such that f(c)=0 that exists

Next, plug in the x values into the function

$f(0) = - 4$

$f(1) = {1}^{3} + 7(1) - 4 = 4$

Since cubic functions are continuous and -4<0<4, then there is a solution c that lies between f(0) and f(1)

3 0

1 year ago

How to create a pattern with the rule n 3?

SCORPION-xisa [38]

If you copied the "n 3" part, it's very likely that your job was to create a pattern with either the rule n^3 or n*3.

In the case of the former, we can start with the initial number of 1 and increase by 1.
In that way, using the rule n^3 would create this pattern of numbers: 1, 8, 27, 64, and so on. Or stated in another way 1*1*1, 2*2*2, 3*3*3, 4*4*4 ...

In the case of the latter, we can start with the initial number of 1 and increase it by 1.
In this way, using the rule of n*3 would create this pattern of numbers: 3, 6, 9, 12, 15, 18 and o son. Or stated in another way 1*3, 2*3, 3*3, 4*3, 5*3 ...

5 0

3 years ago

How do you answer a, b and c, answers and also how you worked it out

Kruka [31]

We can either convert to standard form first or convert to a common multiplier, kinda like a common denominator. The latter makes more sense if they wanted the result in scientific notation, but let's do it that way anyway.

a)

4.5 × 10⁴ + 3.8 × 10³ = 45 × 10³ + 3.8 × 10³ = 48.8× 10³ = 48,800

Answer: 48,800

b)

4.5 × 10⁴ - 3.8 × 10³ = 45 × 10³ - 3.8 × 10³ = 41.2× 10³ = 41,200

Answer: 41,200

c)

7.2 × 10⁻³ + 6.3 × 10⁻² = 7.2 × 10⁻³ + 63 × 10⁻³ = 70.2 × 10⁻³

= 7.02 × 10⁻² = 0.0702

Answer: 0.0702

4 0

3 years ago

A golfer hits a ball from a starting elevation of 2 feet with a velocity of 70 feet per second down to a green with an elevation

ikadub [295]

Answer:

4.50 s

Step-by-step explanation:

The motion of the ball is represented by the following equation:

$h(t) = 2+70t-16t^2$ (1)

where

h(t) is the elevation at time t

2 ft is the initial elevation at t = 0

+70 ft/s is the initial vertical velocity

$-32 ft/s^2$ is the acceleration due to gravity

The green is located at an elevation of -7 feet, so the ball lands on the green when

h(t) = -7

Substituting into (1)

$-7=2+70t-16t^2$

And re-arranging we get

$16t^2-70t-9=0$

This is a second-order equation in the form

$at^2+bt+c=0$

which has solutions

$t_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ (2)

Here we have:

a = 16

b = -70

c = -9

Substituting into (2) we find the solutions:

$t_{1,2}=\frac{70\pm \sqrt{(-70)^2-4(16)(-9)}}{2(16)}$

The two solutions are:

t = 4.50 s

t = -0.125 s

The second solution is negative, and since negative time has no physical meaning, the only correct solution is

t = 4.50 s

5 0

3 years ago