Which of the following functions is graphed below?

Answer:

y = (x + 1)²

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) = (- 1, 0) , then

y = a(x + 1)² + 0

To find a substitute (0, 1), the y- intercept into the equation

1 = a(0 + 1)² = a

y = (x + 1)²

Answer:

Copper = x= 36.19

Step-by-step explanation:

The number of copper is unknown

Gold = 1/3

Silver = 1/5

Bronze =2/7

Copper = x

Total coins = 200

Gold = 1/3 of 200

= 1/3 × 200

= 200/3

= 66.67

Silver = 1/5 × 200

= 200/5

= 40

Bronze = 2/7 × 200

= 400/7

= 57.14

Total = gold + silver + bronze + copper

200 = 66.67 + 40 + 57.14 + x

200 = 163.81 + x

200 - 163.81 = x

x = 36.19

Copper = x= 36.19

Whole part = 2

Fractional part = 59/396

======================================================

Work Shown:

3 & 3/5 = 3 + 3/5

3 & 3/5 = 15/5 + 3/5

3 & 3/5 = 18/5

--------------------

4 & 8/9 = 4 + 8/9

4 & 8/9 = 36/9 + 8/9

4 & 8/9 = 44/9

--------------------

Now apply the rule that 1/(A/B) = B/A. We apply the reciprocal to the fraction A/B to get B/A

That means something like 1/(18/5) becomes 5/18

Also, 1 over (44/9) becomes 9/44

1 over (3/5) becomes 5/3

-------------------

We now have the following:

(5/18) + (9/44) + (5/3)

We'll come back to this later. But first need the LCD, which means we need the LCM of the denominators.

Write out the prime factorization of each denominator

The unique prime factors are: 2, 3, 11

The LCM is 2^2*3^3*11^1 = 1188, which is also the LCD

-------------------

We need to get each fraction to have the LCD

5/18 = (5/18)*(66/66) = 330/1188

9/44 = (9/44)*(27/27) = 243/1188

5/3 = (5/3)*(396/396) = 1980/1188

We can now add the fractions like so

(5/18) + (9/44) + (5/3)

(330/1188) + (243/1188) + (1980/1188)

(330+243+1980)/1188

2553/1188

-------------------

We're almost done. We just need to convert to a mixed number, aka mixed fraction

Using a calculator or long division, you should find that

2553/1188 = 2.1489898989899

approximately. Focus just on the stuff to the left of the decimal point. That's the whole part of the answer.

We can then say: 2553-1188*2 = 177

This forms the numerator of the fractional part. The denominator stays at the LCD 1188

That forms the fraction 177/1188. Divide both parts of that fraction by 3 to fully reduce it. You should get to 59/396

-------------------

So that's how we end up with the mixed number 2 & 59/396

Answer:

b

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

20/100 or 1/5

Answer:

the maximum is 450 and the minimum is 0.

Step-by-step explanation:

We know that:

P(x, y) = 25*x + 45*y

First, is easy to see that as x and y increase, also does the value of P(x, y)

So we just need to find the largest and smallest possible values of these variables. We also can notice that the variable y is being multiplicated by a larger coefficient than x, so we prioritize larger values of y when we can.

We know that:

4x+y ≤ 16

x + y ≤10

x≥0

y≥0

Let's start with the second inequality, let's solve this for y:

y ≤ 10 - x

and from the first one we get:

y ≤ 16 - 4*x

Just to show that maximizing x does not work, let's do it:

from the second one, knowing that the minimum value of y is y = 0

we have that:

0 ≤ 16 - 4*x

Here the maximum value that y can take is x = 1

0 ≤ 16 - 4*1 = 0

So we can have the combination y = 0 and x = 1, when we maximize x (here we can see that we should not maximize x)

in this case we get:

P(1, 0) = 25*1 + 47*0 = 25

let's write again our inequalities:

y ≤ 10 - x

y ≤ 16 - 4*x

If now we take the minimum value of x, x = 0, we get:

y ≤ 10

y ≤ 16

Because the first one is more restrictive, we know that the maximum value that y can take (when x = 0) is y = 10

in this case we get:

P(0, 10) = 25*0 + 45*10 = 450

As expected, here is the actual maximum for the given restrictions.

For the minimum, we just need to take the two lowest possible values of x and y, which are the two given by the equalities on:

x≥0

y≥0

The smallest values are:

x = 0

y = 0

Replacing that in the equation we get:

P(0, 0) = 25*0 + 47*0 = 0

So the maximum is 450 and the minimum is 0. (with the given restrictions)

Answer:

1) [tex]\frac{12.2}{sin(54)}[/tex] which rounds to 15.1

2) [tex]\frac{12.2}{cos(54)}[/tex] which rounds to 20.8

Step-by-step explanation:

1) We're going to have to use the trig ratios for this. We know that sin(x) = [tex]\frac{opposite}{hypotenuse}[/tex] (opposite side over the hypotenuse). In this case, we know that angle h = 54 and the side opposite to angle h = 12.2, and we're trying to find the hypotenuse. If we label the hypotenuse as x, then we can say that sin(H) = [tex]\frac{MI}{HI}[/tex]. We can plug in the values we know to get sin(54) = [tex]\frac{12.2}{x}[/tex]. From there, we multiply by x on both sides to get x out of the denominator, and then we divide by sin(54). So, we end up with x = [tex]\frac{12.2}{sin(54)}[/tex] which, if you put it in your calculator (and make sure the calculator is in degree mode) we get approximately 15.1 mi.

2) Follow the same steps that are described in 1), but instead of sin, we're using cos.

Hope this helps! Let me know if you have any further questions!

Answer:

3/10

Step-by-step explanation:

=1/2 *3/5

= 1*3/2*5

= 3/10

hope it helps

Answer:

140m

Step-by-step explanation:

3/4 = .75

x/.7 = 150/.75

multiply both sides by .7

x = 150/.75 * .7

x = 140m

Step-by-step explanation:

[tex]a) \: 7 \sqrt{3} - 2 \sqrt{3} + \sqrt{3} - 3 \sqrt{3} [/tex]

[Taking sq.root 3 common]

[tex] = (7 - 2 + 1 - 3) \sqrt{3} [/tex]

[tex] = (8 - 5) \sqrt{3} [/tex]

[tex] = 3 \sqrt{3} (ans)[/tex]

[tex]b) \: 5 \sqrt{7} + 4 \sqrt{7} - 8 \sqrt{7} [/tex]

[Taking sq.root 7 common]

[tex] = (5 + 4 - 8) \sqrt{7} [/tex]

[tex] = (9 - 8)\sqrt{7} [/tex]

[tex] = 1 \sqrt{7} [/tex]

[tex] = \sqrt{7} (ans)[/tex]

Answer:

ANSWER: 22

Step-by-step explanation:

hope it helps thankks

Answer:

I agree with the person above

Answer: A. A random sample

Step-by-step explanation:

Since everyone is equally as likely yo be selected for this sample, is has to be random because there won't be any interference to the probability of your chances of being selected in the population

I hope this helps!

Answer:

49 pi in^2 or approximately 153.86 in^2

Step-by-step explanation:

A = pi r ²

Let r = 7

A = pi 7 ²

A = 49 pi

If we approximate pi by 3.14

A is approximately 153.86 in^2

Answer:

[tex]{ \tt{ {(5 {z}^{2} + 3z + 2)}^{2} }} \\ = (5 {z}^{2} + 3z + 2)(5 {z}^{2} + 3z + 2) \\ = (25 {z}^{4} + 30 {z}^{3} + 29 {z}^{2} + 12z + 4)[/tex]

Answer:

(4, -4)

Step-by-step explanation:

Using the midpoint formula;

M(X,Y) = {(ax1+bx2)/a+b, (ay1+by2)/a+b}

X = (ax1+bx2)/a+b

Y = (ay1+by2)/a+b

Substitute

X = 4(2)+2(8)/4+2

X = 8+16/6

X = 24/6

X = 4

Also

Y = 4(-3)+2(-6)/6

Y = -12-12/6

Y = -24/6

Y = -4

Hence the required partition is (4, -4)

Answer:

The answer is going to be the general form for e^x = 1 + x/(1!) + + x^2/(2!) + x^3/(3!) +.....,. till infinity so : e^4 = 1 + 4/1 + 16/ 2 + 64/6 + 256/24 + 1024/ 120 + 4096/720 + 16384/5040 +...till the fraction is<0.1 = 54.6

Answer:

What? Your not even done.

Step-by-step explanation:

Answer:

37.8 x 13.2 =4988.6

28,5 + 22.1 = 50.6

Answer:

37.68ft

Step-by-step explanation:

Answer:

37.68 ft

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d  where d is the diameter

C = 3.14 * 12

C =37.68 ft

Answer:

11.2

Step-by-step explanation:

(AB) ^2 - (BC) ^2 = b^2 (Pythogoras Theorem)

(15)^2 - (10)^2 = (b) ^2

b^2=225-100

b^2=125

b=root (125)

b=11.18

b=11.2

Answer:(first term)

a=27(4th term)

T4= a x r^3 = 64

substituting a as 27 in T4

27 x r^3 = 64

r^3 = 64/27

r=4/3

so; a=27, r=4/3

using the general formula of geometric progression,

a x r^n-1

substitute:.

27 x 4/3^n-1

= 27(4/3)^n-1

Answer: (C) HOPE THIS HELPS!

Answer:

a) x = 8.29 cm

D) V = 1125.27 cm³

Step-by-step explanation:

a) We can solve the equation as follows:

[tex] 2x + 5x - 58 = 0 [/tex]

[tex] 2x + 5x = 58 [/tex]

[tex] x = \frac{58}{7} = 8.29 [/tex]

D) The volume of the box is given by:

[tex] V = l*w*h [/tex]

Where:

l: is the length

w: is the width

h: is the height

The length of the rectangular box is:

[tex] l = (2x + 5) cm = (2*8.29 + 5) cm = 21.58 cm [/tex]

The width is x = 8.29 cm.

And the height is:

[tex] h = (x - 2) cm = (8.29 - 2) cm = 6.29 cm [/tex]

Hence, the volume is:

[tex] V = l*w*h = (21.58*8.29*6.29) cm^{3} = 1125.27 cm^{3} [/tex]

I hope it helps you!        

Answer:

B. Point E

Step-by-step explanation:

Your point is (2,5) for the reptile house ((8,3) is extra unnecessary information) to find the house you go to the right 2 units and then 5 units up. The only one that matches is point E so therefore it's your answer.

Answer:

See below.

Step-by-step explanation:

6. 3 times a number (x) is greater than 10

     3x > 10

7. A number (x) added by 4 is less than or equal to 7

    x+4[tex]\leq[/tex]7

8. 6 is less than a number (x) divided by 6

   6 < x/6

9. The ratio of 10 and a number (x) is greater than or equal to 5

      (10/x) [tex]\geq[/tex] 5

10.The sum of x and 7 is less than 4

     x + 7 < 4

Answer:

output = input - equation

y = x - 7

so 7 is your correct equation!!

Step-by-step explanation:

as u can see

When input x is subtracted from output y, we are getting answer 7

like here

imma gonna tell u how 7 is came

1-8=7

2-9=7

3-10=7

4-11=7

so 7 is our equation

its just a explanation okay

so we get our solution

•°• Y = X - 7

hope it may help you!!

mark as brainlist

Answer:

30°

Step-by-step explanation:

x = 180° -60°-90° = 30°

Answer:

Step 1: Put the numbers in order.

1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.

Step 2: Find the median.

1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.

Step 3: Place parentheses around the numbers above and below the median.

Not necessary statistically, but it makes Q1 and Q3 easier to spot.

(1, 2, 5, 6, 7), 9, (12, 15, 18, 19, 27).

Step 4: Find Q1 and Q3

Think of Q1 as a median in the lower half of the data and think of Q3 as a median for the upper half of data.

(1, 2, 5, 6, 7), 9, ( 12, 15, 18, 19, 27). Q1 = 5 and Q3 = 18.

Step 5: Subtract Q1 from Q3 to find the interquartile range.

18 – 5 = 13.

Step-by-step explanation:

Answer:

X^2+7x+4

Step-by-step explanation:

Answer:

Alternate interior angles are on opposite sides of the transversal, and between the parallel lines

Step-by-step explanation: