Express the area of the entire rectangle. Your answer should be a polynomial in standard form

Answer:

C. Yes, because the number of x - values is the same as the number of y-values

Question 11

The directrix is a horizontal line, which means the parabola opens either upward or downward. In this case, it opens downward. This is because all answer choices have a negative leading coefficient. Also, it's because the focus is below the directrix.

For vertically opening parabolas, we use this form

4p(y-k) = (x-h)^2

where (h,k) is the vertex and p is the focal distance, aka the distance from the vertex the focus. To find (h,k), we start at the focus (0,-4) and move directly up until we reach the directrix y = 4. We'll arrive at (0,4). The midpoint of (0,-4) and (0,4) is (0,0) which is the vertex's location. So (h,k) = (0,0).

Note that in moving from (0,-4) to (0,4) is a span of 4 units. So this is the value of p.

Plug h = 0, k = 0, p = 4 into the equation mentioned and solve for y

4p(y-k) = (x-h)^2

4*4(y-0) = (x-0)^2

16y = x^2

y = (1/16)x^2

The only adjustment we need to make is to change the 1/16 to -1/16 so that the parabola opens downward.

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Question 3

The given equation is in the form y = ax^2+bx+c

In this case,

Let's compute the x coordinate of the vertex h

h = -b/(2a)

h = -4/(2*2)

h = -1

This h value is plugged into the original function to find k

f(x) = 2x^2+4x+3

f(-1) = 2(-1)^2+4(-1)+3

f(-1) = 1

We find that h = -1 and k = 1 pair up together. In short, (h,k) = (-1,1) is the vertex.

No he did not factor correctly. He needed to factor completely which would get 12(2a+3c)

Answer:

3.5

Step-by-step explanation:

The tenths place would be 0.1

So in 3.468 the 4 is in the tenths place

Look at the number to the right of it, if it is greater than 5 you round up and if it is 4 or lower you stay the same.

For 3.468 you would round up

So you would have 3.5

Have A GREAT day man

Sincerly, lipor

Answer:

100% increase

Step-by-step explanation:

The equation is, as we see (120-60)/60=x/100. If we multiply the whole equation by 100, we get (120-60)/60*100=x. We simplify to get a 100% increase.

Answer:

26

Step-by-step explanation:

AB=CB so

3x+8=7x-16

-4x=-24

x=6

then plug that x value into the length which is 3x+8

so 3(6)+8=18+8=26

Answer:

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

D and I think it is correct since it has a fraction whose numerator is less than the denominator good luck hope you pass

Answer:

Im pretty sure it's $39

Step-by-step explanation:

if x=0 it cancels out leaving y=39

Answer:

3185

(I'm not sure if it's correct, if it's wrong I apologize in advance.)

Answer:

12 : 126

Step-by-step explanation:

Dc=28 there for the angle is 28

Step-by-step explanation:

the KL angle is 72

Answer:

1515

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

Add 4 on both sides to get 2x = 14, then divide 2 on both sides to get x = 7.

Hope this helps :)

Answer:

2.14

Step-by-step explanation:

15 miles ➗ 7 days = 2.14

Answer:

50 cm²

Step-by-step explanation:

We know that PQRS is a paralleogram so we know that RS = PQ.

We also know that ΔPQT and ΔPRS has the same height . The the area is the same, from the area of that we can get 50 cm²

Answer:  X =  2 2/3

Step-by-step explanation:

4 5/9 is the same as the sum of 2 1/3 and 5/6 times a number.

Let X be the "number."  Translate the sentence:

(4 5/9) = ((2 1/3) + (5/6))*X

"4 5/9 is the same":  (4 5/9) =

"as the sum of 2 1/3 and 5/6":  ((2 1/3) + (5/6))

"times a number": *X

Put them all together:

(4 5/9) = ((2 1/3) + (5/6))*X

(41/9)-(7/3) = (5/6)X

(41/9)-(21/9) = (5/6)X

(20/9) = (5/6)X

X = (20/9)*(6/5)

X = 120/45

X = 2 30/45 or 2 2/3

Step-by-step explanation:

92°

as the has given pair of angle is Alternate Exterior angle so they have same values.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Answer:

72 child

369 adult

48 senior

Answer:

if you need to plot what percent they have left its 75%, i you have to plot how much decreased it would be 25%> Hope this helped!

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Answer:

#carryonlearning

Step-by-step explanation:

#carryonlearning

The number of grams present in 0.54 moles of calcium is; 22 g

We are given;

Number of moles; n = 0.54 moles

Now, Molar mass of calcium is;

M = 40.1 g

Formula for number of moles is;

n = m/M

Where;

n is number of moles

m is mass in grams

M is molar mass

Thus;

0.54 = m/40.1

m = 40.1 × 0.54

m = 21.654 g

Approximately m = 22 g

Read more at; https://brainly.com/question/5397233

Answer: 10 - 6x

2 x 5 = 10

2 x 3 = 6

therefore: 10 - 6x

I hope this helps!

Answer:

the answer is 10-6x

Step-by-step explanation:

by multiplying 2 by 5 and -3x

u will get ur 10-6x

Answer:

Since you have 3 local extremas, you will have a polynomial function of degree 4.  The domain of the function is [0, 4].

Use these initial conditions as your guidelines:

f(0) = 250

f(x) has at least one x-intercept (crosses the x-axis) and must be in the interval (0, 4].

f(x) decreases in any of the following intervals: (0, 1) or (2, 3)

Remember, you will have an arbitrary function that satisfies these conditions.

Step-by-step explanation:

I did :Your coaster ride must have at least 3 relative maxima and/or minima

Answer:

9/10

Step-by-step explanation:

if he has 10 and eats 9 you divide 9 by 10

= 9/10

Arnold eats 9 / 10 fractions of the sweets.

Given that,

Arnold has a bag of 10 sweets. He eats 9 of them. What fraction of the sweets he eat is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Fraction is defined as the number of compositions that constitutes the Whole.

Here,
Arnold has a bag of 10 sweets
Total sweets = 10
Total sweets that were eaten by Arnold = 9
So,
Fraction = sweets eat / total sweet
Fraction = 9 / 10

Thus, Arnold eats 9 / 10 fractions of the sweets.


Learn more about fractions here:

brainly.com/question/10708469

#SPJ2

Answer:

Step-by-step explanation:

Polynomial Functions. A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc. For example, 2x+5 is a polynomial that has exponent equal to 1.

567/71 because passengers/(train cars/passengers) = train cars

71 x 7 = 497 (not enough)

71 x 8 = 568 (enough)

Answer: 8 train cars