If you need 4 tables spoons of golden syrup to make 10 cupcakes, how many tables spoons of golden syrup will you need to make 4 cupcakes.

1.6 tablespoons

Step-by-step explanation:

Let’s make a proportion

syrup/cupcakes=syrup/cupcakes

4 tablespoons are needed for 10 cupcakes and x tablespoons are needed for 4 cupcakes.

4/10=x/4

Now we have to solve for x. x is being divided by 4. To reverse this, multiply both sides by 4, because multiplication is the opposite of division.

4*4/10=x/4*4

The 4s on the right will cancel, so we are left with:

4/4*10=x

1.6=x

So, 1.6 tablespoons are needed for 4 cupcakes.

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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