Llen's score in a video game was changed by −50 points because he missed some targets. He got −10 points for each missed target.

Response:

= 270 ⇒ Previous solution

Detailed breakdown:

* Given f(x) = 7 + 4x

* Given g(x) =

* We aim to determine

- Initially, let’s calculate

∵ f(x) = 7 + 4x

∵ g(x) =

∴

- Let’s perform division of the numerator by the denominator

∵ The numerator is 7 + 4x

∵ The denominator is

∴ (7 + 4x) ÷

- Now we will change the division sign to a multiplication sign and take the reciprocal of

the fraction following the division sign

∴ (7 + 4x) ×

∴ = 2x(7 + 4x)

∴ = 14x + 8x²

- Next, substitute x with 5

∴ = 14(5) + 8(5)² = 70 + 200 = 270

∴ = 270

Shane and Abha received a team badge for gathering at least 2000 cans for recycling.

This indicates that their collection must total a minimum of 2000 cans.

Abha managed to collect 178 more cans than Shane.

Let’s denote the number of cans Shane collected as S

So, Abha collected = S + 178

The inequality representing the number of cans collected by Shane can be expressed as:

=

Answer:

At h=0.1, the calculated value of y(1.2) equals 15.920, and for h=0.05, y(1.2) amounts to 16.523.

Step-by-step explanation:

Given,

with y(1)=9.

This means when x=1, y=9 initially.

To determine the value of y= f(x,y) at when h=0.1 and h=0.05, we will implement a C program using Euler's method resulting in, for h=0.1:

#include<stdio.h>

float fun(float x, float y)

{

  float f;

  f=2x+3y+1;

  return f;

}

main()

{

   float a,b,x,y,h,t,k;

   printf("\ Enter x0,y0,h,xn:");

   scanf("% f % f % f % f ", & a, &b, &h, &t);

   x=a;

   y=b;

   printf("\n x\t y\n");

   while (x<=t)

}

Using initial values x0=1, y0=9, h=0.1, and xn=1.2, we reach results, y(1.2)=15.920.

Subsequently, using values x0=1, y0=9, with h=0.05, and xn=1.2 yields y(1.2)=16.523.

Answer:

Error made by Andrew: He identified incorrect factors based on the roots.

Step-by-step explanation:

The roots of the polynomial consist of: 3, 2 + 2i, 2 - 2i. By the factor theorem, if a is a root of the polynomial P(x), then (x - a) must be a factor of P(x). According to this premise:

(x - 3), (x - (2 + 2i)), (x - (2 - 2i)) represent the factors of the polynomial.

(x - 3), (x - 2 - 2i), (x - 2 + 2i) as the respective factors.

This is where Andrew's mistake occurred. Factors should always be in the form (x - a), not (x + a). Andrew expressed the complex factors incorrectly, resulting in an erroneous conclusion.

Thus, the polynomial can be expressed as:

Answer:

128

Step-by-step explanation:

Imagine you have two jars and seven marbles.

The result is .

That totals 128