Which best describes the domain and range of the function y = = 4x²?​

Answer:

a =1  and b =2

Step-by-step explanation:

The standard quadratic is written in the form

ax^2 +bx+c =0

x^2 +2x -13 =0

a =1  and b =2

Answer:

vertex: (5/6,5)

focus: (- 2/3, 5)

axis of symmetry: y = 5

directrix: x = 7/3

Step-by-step explanation:

use the vertex form to determine the values of a.h. and k and use these values to find the direction the parabola opnes, vertex, foucs, axis of symmetry, and directrix

Answer:

Step-by-step explanation:

take 48 degree as reference angle

using tan rule

tan 48=opposite/adjacent

1.11=missing side/58

1.11*58=missing side

64.38=missing side

Answer:

d

Step-by-step explanation:

one side is shorter than the other so it cant be any other option

Answer:

b=4

Step-by-step explanation:

4 Also can someone tell me how to do this? step by step?

Answer:

If you know the measure of one angle in a linear pair, you can find the measure of the other because the sum of the measure of the two angles is 180 degrees. If you know the measure of one angle in a pair of vertical angles, you can find the measure of the other because they are congruent.

Step-by-step explanation:

the answer is in the picture

Answers:

1.) 9

2.) 6

3.) 2

Answer:

7 x 9 = 9 x 7

5 x 8 = 5 x 4 x 2

4 x 6 = 3 x 2 x 4

Step-by-step explanation:

Equation 1:

Commutative property, just reversing the order of the factors.

Equation 2:

Since 5 s given we multiply 4 x 2 to get 8

5 x 8

Equation 3:

3 and 4 are given. Since 6 is a product of 3 and 2, 2 is the missing number.

If my answer is incorrect, pls correct me!

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-Chetan K

x = time goal

16% = .16

.16 x = 32

x = 32/.16 = ___________ minutes

Jesse' weekly reading time is an illustration of ratio and proportion.

Jesse' weekly reading time is 200 minutes

Represent the reading time with x.

16% of his weekly reading time is given as 32 minutes

This is represented using the following equation

[tex]16 \% \times x = 32[/tex]

Express 16% as decimal

[tex]0.16\times x = 32[/tex]

Divide both sides by 0.16

[tex]x = 32/0.16[/tex]

[tex]x = 200[/tex]

Hence, Jesse' weekly reading time is 200 minutes

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Answer:

A

Step-by-step explanation:

Because it’s the only sequence that have a common difference

The correct sequence which is an arithmetic sequence is,

⇒  6, 13, 20, 27, 34

Hence, Option A is true.

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

We have to given that,

To find an arithmetic sequence.

For option A;

A. 6, 13, 20, 27, 34

Common difference is,

13 - 6 = 7

20 - 13 = 7

27 - 20 = 7

Thus, The correct sequence which is an arithmetic sequence is,

⇒  6, 13, 20, 27, 34

Hence, Option A is true.

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Answer:

12+12+4+6+26=50

12/50=6/25=0.24=24%

Answer:

1/5.

Step-by-step explanation:

First you have to add up all of the numbers: 12+12+4+6+26. Then you have to find how many red marbles there are, which this case there are 12, so you get your fraction of 12/60 which can be reduced to 1/5.

Answer:

B) 3^-5 (1 / 243) and D) 2^5 x 6^-5 (1 / 243)

Step-by-step explanation:

3 to the negative 5th power as a fraction is

1 / 243.

2 to the power of 5 multiplied by 6 to the power of negative 5 also equals 1 / 243.

Both expressions are equivalent to 2^5 / 6^5 because they equal the same thing (1 / 243).

Answer:

A.  7n+6

B Three times the quantity of a number plus eight

Step-by-step explanation:

A   more than means it comes after

7 times a number

7n

6 more than

7n+6

B 3( n+8)

Three times the quantity of a number plus eight

Answer:

2.0936 * [tex]10^{2}[/tex]

Hope that this helps!

Answer:

15m+80 would be the correct equation

Answer:

15*m=(530-80)

Step-by-step explanation:

30$ per lawn. 530-80=450. This gives us how much money he still needs to buy his gulf clubs. But, the question says that Carlos can earn the rest of the money ($450) by mowing 15 lawns.

Here's how we model that as an expression:

15m=(530-80)

15 lawns for m dollars would get him 530-80 (450) or the remaining amount.

Hope this helps!

Answer:

16.6

Step-by-step explanation:

Intensity = Voltage ÷ Electerical Resistance

Intensity = 120÷ 150

Intensity = 12/15

Intensity = 4×3/5×3

Intensity = 4/5

Intensity = 0.8 Amp

Answer:

n=2

1/2n-2-3=3-2n-3

1/2n+2n=3+2+3-3

2/1/2n=5

5/2n=5

n=5 multiply 2/5

n=2

Answer:

Option D (y = 5/6x -12).

Step-by-step explanation:

Hey there!

The equation of the line which passes through the point (12,-2) is (y+2) = m2(x-12)………(i) [Using one point formula].

According to the question, the first line passes through point (12,6) and (0,-4).

So,

[tex]slope(m1) = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]or \: m1 = \frac{ - 4 - 6}{0 - 12} [/tex]

[tex]or \: m1 = \frac{5}{6} [/tex]

Therefore, the slope of the line is 5/6.

Now as per the condition of parallel lines, m1 =m2 = 5/6.

So, keeping the value of m2 in equation (i), we get;

(y+2) = 5/6(x-12)

[tex]y + 2 = \frac{5}{6} x - 10[/tex]

or, y = 5/6x - 12.

Therefore, the required equation is y = 5/6 X - 12.

Hope it helps!

Answer:

1. 60°

2. The sum of angles of a triangle is 180°. Since it's an equilateral, all 3 angles are the same.

180 ÷ 3 = 60°

Answer:

2*(5x+4) + 2*(3x+2)

= 10x + 8 + 6x + 2

= 16x + 10

The perimeter of the rectangle, in feet, is represented by (16x + 10)

Answer:

(16x + 12) ft

Step-by-step explanation:

Perimeter of the rectangle = 5x + 4 + 3x + 2 + 5x + 4 + 3x + 2

Perimeter of the rectangle = (16x + 12) ft

Answer:

25 feet per second.

Step-by-step explanation:

Let s represent the speed of the water and r represent the radius of the whirlpool.

The speed in a whirlpool varies inversely with the radius. Therefore, we can write that:

[tex]\displaystyle s=\frac{k}{r}[/tex]

Where k is the constant of variation.

We know that the speed is 2.5 feet per second when the radius is 30 feet.

So, s = 2.5 when r = 30. Substitute:

[tex]\displaystyle 2.5=\frac{k}{30}[/tex]

Solve for k:

[tex]k=30(2.5)=75[/tex]

So, our equation is:

[tex]\displaystyle s=\frac{75}{r}[/tex]

Then when the radius is three feet, r = 3. Evaluate for s:

[tex]\displaystyle s=\frac{75}{(3)}=25\text{ feet per second}[/tex]

So, the speed of the water in a whirlpool with a radius of three feet is 25 feet per second.

To determine which relation is a function, we need to check if each input value (x) corresponds to a unique output value (y). If there is any repetition in the x-values, then it is not a function. in option (0, 0), (1, 1), (2, 2), (3, 3), (4,7) no repetition x-values so c is correct.

Let's analyze each option:

A. (8,-4), (8,4), (6,-3), (6,3), (0, 0)

In this relation, we can see that both 8 and 6 have repeated as x-values. Therefore, option A is not a function.

B. (4, 7), (8,5), (6,4), (5, 3), (4, 2)

Again, we notice that 4 appears twice as an x-value. Hence, option B is not a function.

C. (0, 0), (1, 1), (2, 2), (3, 3), (4,7)

Here, each x-value is unique. No repetition is observed. Therefore, option C represents a function.

D. (0, 0). (1, 0), (1, 1), (2, 1), (1, 2)

In this relation, the x-value of 1 appears three times. Consequently, option D is not a function.

To summarize, option C is the only relation that represents a function since it has distinct x-values corresponding to unique y-values.

Option C is correct answer

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Answer:

1.18 kilometers

Step-by-step explanation:

The middle school is 2.72 kilometers from Marshal house

The school is also 1.54 kilometers away from Ryan house

Therefore the distance of Marshal house from the school can be calculated as follows

= 2.72-1.54

= 1.18 kilometers

Answer:

y=9.25

Step-by-step explanation:

5x+2y=20

5(.3)+2y=20

1.5+2y=20

2y=20-1.5

2y=18.5

y=18.5/2

y=9.25

Answer:

2/18 = 1/9

Step-by-step explanation:

She has a total of 18 menus, so that is our denominator. 2 are for Thai food, so that is our numerator.

2/18 = 1/9

Answer:

Step-by-step explanation:

Number less than 2 is 1.

Probability of 1 out of 6 is:

Probability of heads is:

The probability of both is: