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2 years ago

I need help with three and four

Mathematics

2 answers:

mart [117]2 years ago

4 0

Answer:

3: $a^{2}+2ab+b^{2}$

4: $8x^{3} -12x^{2}+6x-1$

Step-by-step explanation:

Question 3 can be re-written as:

$(a+b)(a+b)$

which equals:

$a^{2}+2ab+b^{2}$

Question 4 can be re-written as:

$(2x-1)(2x-1)(2x-1)$

Doing the first 2 brackets gives us:

$(4x^{2} -4x+1)(2x-1)$

Expanding these two:

$8x^{3} -4x^{2} -8x^{2} +4x+2x-1$

Simplifying it:

$8x^{3} -12x^{2}+6x-1$

Bumek [7]2 years ago

3 0

Answer

43x (36) 60 - 4 (30)

Step-by-step explanation:

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A sinusoidal function whose period is 1/2 , maximum value is 10, and minimum value is −4 has a y-intercept of 3.

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4 years ago

Please answer this in two minutes

tigry1 [53]

Answer:

x = 16

Step-by-step explanation:

The figure shown shows an inscribed angle F and central angle E. Both angles intercept the same arc.

Therefore, angle E is twice the measure of angle F, according to the central angle theorem of a circle.

Thus,

m<E = 2 * m<F

(x + 94)° = 2(55)

We can find the value of x with this equation.

x + 94 = 110

Subtract 94 from both sides

x = 110 - 94

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3 years ago

If (x - h) = 4 and (y - k) = 3, what is the radius of the circle above?

I am Lyosha [343]

(x-h)²+(y-k)²=r² is the equation of a circle with radius of r

so if x-h=4 and y-k=3 then

4²+3²=r²
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5 0

3 years ago

Let $f(x) = 2x^2 + 3x - 9,$ $g(x) = 5x + 11,$ and $h(x) = -3x^2 + 1.$ Find $f(x) - g(x) + h(x).$

Viefleur [7K]

QUESTION 1

Given that:

$f(x)=2x^2+3x-9$ ,

$g(x)=5x+11$ ,

and

$h(x)=-3x^2+1$

Then;

$f(x)-g(x)+h(x)=2x^2+3x-9-(5x+11)+(-3x^2+1)$

$f(x)-g(x)+h(x)=2x^2+3x-9-5x-11-3x^2+1$

Group similar terms;

$f(x)-g(x)+h(x)=2x^2-3x^2+3x-5x-11-9+1$

Simplify;

$f(x)-g(x)+h(x)=-x^2-2x-19$

QUESTION 2

Given that;

$f(x)=4x-7$ .

$g(x)=(x+1)^2$

and

$s(x)=f(x)+g(x)$

Substitute the functions;

$s(x)=4x-7+(x+1)^2$

Substitute x=3

$s(3)=4(3)-7+(3+1)^2$

$s(3)=12-7+(4)^2$

$s(3)=5+16$

$s(3)=21$

QUESTION 3

Given:

$f(x)=3x+2$

$g(x)=x^2-5x-1$

$f(g(x))=f(x^2-5x-1)$

This implies that;

$f(g(x))=3(x^2-5x-1)+2$

Expand the parenthesis;

$f(g(x))=3x^2-15x-3+2$

$f(g(x))=3x^2-15x-1$

QUESTION 4

The given function is;

$f(x)=3(x-6)^2+1$

Let

$y=3(x-6)^2+1$

$\Rightarrow y-1=3(x-6)^2$

$\Rightarrow \frac{y-1}{3}=(x-6)^2$

$\Rightarrow \sqrt{\frac{y-1}{3}}=x-6$

$\Rightarrow x=6+\sqrt{\frac{y-1}{3}}$

The range is:

$\frac{y-1}{3}\ge0$

$y-1\ge0$

$y\ge1$

The interval notation is;

$[1,+\infty)$

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4 years ago

Jaclyn's company required an initial investment of $2,125 for starting costs and sells construction toys for $49.99 each. Richie

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The the number of construction toys that must be bought so that the profit for Jacelyn's company and Richie's company is the same. is t= 204.3269230769231

<h3>what is equation?</h3>

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation. It will be considered as an expression.

As, per the given situation the equation can be

2125 + 49.99 t = 39.95 t

10.4 t= 2125

t= 2125 / 10.4

t= 21250/104

t= 204.3269230769231

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6 0

2 years ago