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3 years ago

In a city, 6th and 7th Avenues are parallel and the corner that The Pizza Palace is on is a 54° angle. What is the

Mathematics

2 answers:

goblinko [34]3 years ago

7 0

The answer is C because it is telling you to subtract 180 degrees from 54 degrees to get the final answer which is 126 I got that because 54 is that angle and it is asking for the whole amount so it would be C

almond37 [142]3 years ago

4 0

Answer:

c) 126°

Step-by-step explanation:

It is an alternate angle as it is not equal and it is is not on the same side like corresponding angles and interior angles are. If the angles are on same side of a parallel line then the angles are considered consecutive. If they are on opposite sides, then the angles are considered alternate. Are the angles inside or outside of the two intersected lines? If they are inside the two lines, then they will be classified as interior.

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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;

$[1,+\infty)$

6 0

3 years ago

Kamoira bought 8 pizzas for $131.36. Each pizza cost the same amount. What was the cost of each pizza in dollars and cents?

Veseljchak [2.6K]

Step-by-step explanation:

so, you don't know what a division is for ?

it is to ask things like "how often does one number fit into another number", or "how big will each piece be, if I split something into a certain number of equally sized pieces ?".

this is what we need here.

8 pizzas for $131.36. and each pizza costs the same. you see how that connects to what I just described above ?

to find how much each pizza cost, we need to divide the total price by 8, to find the size (= here the price) of each of the equally big parts of the total price.

131.36 / 8 = $16.42

6 0

2 years ago

Is -81.43 rational or irrational? If it is rational, write the number as a ratio of two integers.

ICE Princess25 [194]

This is rational. It -81.43:-94.52 expressed. -81.45/94.52

6 0

2 years ago

Find the equation for the parabola that passes through the point (-2,-4), with vertex at (3,1) and a vertical axis

Igoryamba

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (3, 1), hence

y = a(x - 3)² + 1

To find a substitute (- 2, - 4) into the equation

- 4 = a(- 2 - 3)² + 1

- 4 = 25a + 1 ( subtract 1 from both sides )

25a = - 5 ( divide both sides by 25 )

a = - $\frac{5}{25}$ = - $\frac{1}{5}$

y = - $\frac{1}{5}$ (x - 3)² + 1 ← in vertex form

7 0

3 years ago

Help me! I have a retake on this and my last answer I put was A and D and I got it wrong!

IgorC [24]

9514 1404 393

Answer:

A, E

Step-by-step explanation:

You are correct that the appropriate relationship is ...

g = 0.4t . . . . choice A

You are also correct that an equivalent relationship is ...

t = 2.5g . . . . choice D

However, when we say gallons are proportional to seconds, we usually expect that to be written ...

g = kt . . . . for some value of k

We note that another equivalent is ...

g = 2/5t . . . . choice E

The appropriate choices are probably A and E. Choice D might be argued to be correct, but you could very well lose that argument to someone who prefers a "g = " form of the relationship.

6 0

3 years ago