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2 years ago

Choose the answer that best describes the graph.

Mathematics

1 answer:

Aneli [31]2 years ago

7 0

The correct answer would be B

Why this would be correct is that time fever dtipsbit is always going so that consists of the elevator still moving

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Find the polynomial of minimum degree, with real coefficients, zeros at

drek231 [11]

Answer:

$\huge\boxed{p(x)=4x^3-20x^2+4x+300}$

Step-by-step explanation:

$\text{If}\ x=4\pm3i\ \text{and}\ x=-3\ \text{are the zeros of a polynomial, then it has a form:}\\\\p(x)=\bigg(x-(4-3i)\bigg)\bigg(x-(4+3i)\bigg)\bigg(x-(-3)\bigg)\bigg(r(x)\bigg)\\\\p(x)=(x-4+3i)(x-4-3i)(x+3)\bigg(r(x)\bigg)\\\\p(x)=\underbrace{\bigg((x-4)+3i\bigg)\bigg((x-4)-3i\bigg)}_{\text{use}\ (a+b)(a-b)=a^2-b^2}(x+3)\bigg(r(x)\bigg)\\\\p(x)=\bigg((x-4)^2-(3i)^2\bigg)(x+3)\bigg(r(x)\bigg)\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2$

$p(x)=(x^2-2(x)(4)+4^2-3^2i^2)(x+3)\bigg(r(x)\bigg)\qquad\text{use}\ i^2=-1\\\\p(x)=(x^2-8x+16-9(-1))(x+3)\bigg(r(x)\bigg)\\\\p(x)=(x^2-8x+16+9)(x+3)\bigg(r(x)\bigg)\\\\p(x)=(x^2-8x+25)(x+3)\bigg(r(x)\bigg)\qquad\text{use FOIL}:\ (a+b)(c+d)=ac+ad+bc+bd\\\\p(x)=\bigg((x^2)(x)+(x^2)(3)+(-8x)(x)+(-8x)(3)+(25)(x)+(25)(3)\bigg)\bigg(r(x)\bigg)\\\\p(x)=(x^3+3x^2-8x^2-24x+25x+75)\bigg(r(x)\bigg)\qquad\text{combine like terms}\\\\p(x)=(x^3-5x^2+x+75)\bigg(r(x)\bigg)$

$\text{The y-intercept is at 300}.\\\\\text{For}\ w(x)=a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+...+a_1x+a_0\\\\\text{y-intercept is}\ a_0\\\\\text{Therefore for}\ p(x)=(x^3-5x^2+x+75)\bigg(r(x)\bigg)\\\\\text{y-intercet is}\ 75\bigg(r(x)\bigg)\\\\75\bigg(r(x)\bigg)=300\qquad\text{divide both sides by 75}\\\\r(x)=4\\\\\text{Finally:}\\\\p(x)=(x^3-5x^2+x+75)(4)\qquad\text{use the distributive property}\\\\p(x)=(x^3)(4)+(-5x^2)(4)+(x)(4)+(75)(4)\\\\p(x)=4x^3-20x^2+4x+300$

7 0

3 years ago

Find the values of x, y and z from the given parallelograms.<br>please help please it's a request

Dmitry [639]

Answer:

(ii) (x, y, z) = (110°, 30°, 30°)

(iii) (x, y, z) = (110°, 70°, 70°)

Step-by-step explanation:

The things you need to know and use are ...

Opposite angles of a parallelogram are congruent.

Adjacent angles of a parallelogram are supplementary.

Alternate interior angles between a transversal and parallel lines are congruent.

Corresponding angles where a transversal crosses parallel lines are congruent.

(ii) Angles B and D are opposite, so congruent:

x = 110°

Angle DAB is supplementary to angle B, so is 70°. That means z is ...

z = 70° -40° = 30°

Angle y is "alternate interior" relative to z, so is congruent to z:

y = 30°

(iii) Angle x is adjacent to angle N, so is supplementary to 70°.

x = 180° -70° = 110°

Angle y is opposite angle N, so is congruent.

y = 70°

Angle z is corresponding to angle N, so is congruent. (It is also "alternate interior" with respect to angle y, so is congruent to y.)

z = 70°

8 0

3 years ago

What is the measure of the angle formed by the minute hand and the hour hand of a clock when the clock shows 3:00?

FrozenT [24]

Answer: 90 degree angle

if im wrong let me know please

4 0

3 years ago

Read 2 more answers

Can someone help me with 11 A and B?

Elan Coil [88]

For 11a its 2:10 because how you would come up with it is by placing pablos free minutes first and then putting pablos paid minutes and 11b is8:25 because once again you would place sams free minutes first and then his paid minutes

6 0

3 years ago

A horse drawing is 4.5 inches in height. The actual horse is 1 inch to 1.5 feet.

Naily [24]

Answer:

6 ft 9

Step-by-step explanation:

6 0

3 years ago