Which of these relations are functions?
х
O
-2 6 2 -6
-5 21 15-15
y
11
y
4
2
O
x
4
-2
4
o
{(-5,-7), (-2,-7), (7,17), (-5,21)}
y

Answer:

x = 28

Step-by-step explanation:

12/x = 3/7

Using cross products

3x = 12*7

3x = 84

Divide by 3

x = 28

Answer:

Approximately [tex]58.28\; \rm m \cdot s^{-1}[/tex].

Step-by-step explanation:

The velocity of an object is the rate at which its position changes. In other words, the velocity of an object is equal to the first derivative of its position, with respect to time.

Note that the arrow here is launched upwards. (Assume that the effect of wind on Mars is negligible.) There would be motion in the horizontal direction. The horizontal position of this arrow will stays the same. On the other hand, the vertical position of this arrow is the same as its height: [tex]y = 62\, t - 1.86\, t^2[/tex].

Apply the power rule to find the first derivative of this [tex]y[/tex] with respect to time [tex]t[/tex].

By the power rule:

Therefore:

[tex]\begin{aligned}\frac{dy}{d t} &= \frac{d}{d t}\left[62 \, t - 1.86\, t^2\right] \\ &= 62\,\left(\frac{d}{d t}\left[t\right]\right) - 1.86\, \left(\frac{d}{d t}\left[t^2\right]\right) \\ &= 62 \times 1 - 1.86\times\left(2\, t) = 62 - 3.72\, t\end{aligned}[/tex].

In other words, the (vertical) velocity of this arrow at time [tex]t[/tex] would be [tex](62 - 3.72\, t)[/tex] meters per second.

Evaluate this expression for [tex]t = 1[/tex] to find the (vertical) velocity of this arrow at that moment: [tex]62 - 3.72 \times 1 =58.28[/tex].

Answer:

58.28 m/s

Step-by-step explanation:

y = 62t - 1.86t²

Speed, S = dy/dt = 62 - 2(1.86)t

S = 62 - 3.72t

When t = 1

S = 62 - 3.72 = 58.28 m/s

Answer: negative correlation

Step-by-step explanation: If you look at the points in this graph here, I would say that those points are very close to a perfect line.

Notice that the slope of the line is negative.

This means it will be a negative correlation.

So the line is a very good estimate of the points.

Answer:

5/14 = 0.36

7/10 = 0.7

5/6 = 0.83

11/15 = 0.73

19/21 = 0.9

(round to the tenth)

so the answer is;

5/14, 7/10, 11/15, 5/6, 19/21

Step-by-step explanation:

Hope it helps!

Answer:

2c^3(c+11)^2

Step-by-step explanation:

2c^5 + 44c^4 + 242c^3

Factor out the greatest common factor

2c^3(c^2+22c+121)

Recognizing inside the parentheses is (a+b) ^2 where a =c and b = 11

2c^3(c+11)^2

Answer:

x=6

Step-by-step explanation:

13(x-3) = 39

Divide each side by 13

13/13(x-3) = 39/13

x-3 = 3

Add 3 to each side

x-3+3 = 3+3

x = 6

Answer:

x=6 ,is right.

6-3=3&multiply 13=39

so answer is x=6

mark brainleast plz

Answer:

1/7 is left

Step-by-step explanation:

What is left to read after the first week

1 - 3/7

7/7 - 3/7

4/7

He read 3/4 of this the second week

4/7 * 3/4

3/7 was read

4/7 - 3/7 is what is left

1/7 is left

Answer:

The correct answer is

Step-by-step explanation:

1/7 of the book is left to read.

Hope this helps....

Have a nice day!!!!

Answer:

Step-by-step explanation:

P = 2•(¹/₂•24•16) + 2•(20•20) + 24•20 = 384 + 800 + 480 = 1664 yd²

Answer:

0.88175960442

Step-by-step explanation:

The square root of 0.7775 is 0.88175960442

The value of standard deviation will be;

⇒ 0.8803

What is mean by square root of a number?

A square root of a number is a value that multiplied by itself gives the same number.

Given that;

The value of Variance = 0.7775

Now,

Since, The standard deviation is the square root of the variance.

Hence, We can formulate;

The value of standard deviation = √0.7775

                                                 = 0.8803

Thus, The value of standard deviation will be;

⇒ 0.8803

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Answer:

23×x

=23x

Hope it helps

Answer:

23x

Step-by-step explanation:

"The product of" indicates that we will be multiplying the two quantities. 23 multiplied by x can be written as 23 * x which simplifies to 23x.

Answer:

The shaded area is 18 ft^2

Step-by-step explanation:

First find the area of the total trapezoid

A = bh

A = 1/2 ( b1+b2) *h

   = 1/2 ( 6+12) *6

   = 1/2 ( 18)*6

   =54

Now find the area of the triangle

A = 1/2 bh

   = 1/2 ( 12) * 6

   = 36

Subtract the triangle from the trapezoid

54-36

18

The shaded area is 18 ft^2

Answer:

D. 18 sq.ft

Step-by-step explanation:

Lets make it simple and short.

Area of a triangle is 1/2 b h

b = 6

h = 6

Area = 1/2 * 6 * 6

Area = 18 sq.ft

Answer:

375 mm cubed

Step-by-step explanation:

The volume would stay the same because the same number of the same pennies are being used.

If the question was asking for the surface area, then the answer would be different.

Hope that helped!!! k

Answer: 375 mm cubed

Answer:

-1 is the answer

Step-by-step explanation:

I can't do the explanation of this question

Answer:

-1

Step-by-step explanation:-19 + 18 is basically how it is they end up canceling each other out except for the -1 which is the answer.

Answer:

[tex]\boxed{3^5}[/tex]

Step-by-step explanation:

Hey there!

Look at the image below↓

By looking at the image we can tell the PR expression is [tex]3^5[/tex].

Hope this helps :)

Answer:

Below in bold.

Step-by-step explanation:

Dividing  by primes:

3 ) 243

3 )  81

3 )  27

3)     9

        3.

So the prime factors of 243 are 3 * 3 * 3 * 3 * 3  or  3^5.

Answer:

x = 1/2

Step-by-step explanation:

Let's represent this in a mathematical way,

(x+1)^2 - x^2 = 2

Ok now we expand,

x^2 + 2x + 1 -x^2 = 2

rearrange,

x^2 - x^2 + 2x + 1 = 2

subtract,

2x + 1 = 2

subtract 1 from both sides,

2x + 1 - 1 = 2 - 1

2x = 1

Now divide 2 from both sides and get your answer,

x = 1/2

Answer:

[tex](x + 1) { }^{2} - x {}^{2} = 2[/tex]

[tex]x {}^{2} + 2x + 1 - x {}^{2} = 2[/tex]

[tex]2x + 1 = 2[/tex]

[tex]x = 1 \div 2[/tex]

Answer:well the answer is 2 hours 16 minutes.

Step-by-step explanation:

To find your plane's rate of speed, you calculate the distance ... amount of time in the air (2 hours and 16 minutes) to.

Answer:

b = 60

Step-by-step explanation:

The sum of the angles of a triangle are 180

80+40+b = 180

Combine like terms

120+b =180

Subtract 120 from each side

b = 180-120

b = 60

Answer:

60°

Step-by-step explanation:

Recall that all triangles have an interior angle sum of 180. In other words:

[tex]\angle A+\angle B +\angle C = 180[/tex]

Plug in the angle values we know:

[tex](80)+(40)+\angle B = 180\\120+\angle B =180\\\angle B = 60\textdegree[/tex]

Answer:

Ok, our function is:

f(x) = 3*(x - 1)^2 + 2.

First, domain:

We should assume that the domain is all the set of real numbers, and then we see if for some value we have a problem.

In this case we do not see any problem (we can not have a zero in the denominator, and there is no function that has problems with some values of x)

Then the domain is the set of all real numers.

Vertex:

Let's expand our function:

f(x) = 3*x^2 - 3*2*x + 1 + 2

f(x) = 3*x^2 -6*x + 2

The vertex of a quadratic function:

a*x^2 + b*x + c is at:

x = -b/2a

here we have:

a = 3 and b = -6

x = 6/2*3 = 6/6 = 1.

And the value of y at that point is:

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

Then the vertex is at: (1, 2)

Range:

The range is the set of all the possible values of y.

Ok, we can see that the leading coefficient is positive, this means that the arms of our quadratic function will go up.

Then the minimal value of our quadratic function is the value at the vertex, y = 2.

This means that the range can be written as:

R = y ≥ 2

So the range is the set of all real numbers that are larger or equal than 2.

Answer:

Step-by-step explanation:

The only place that the function is increasing is [-3, -1] (learn your interval notation). At x = -3, y = -11; at x = -2, y = -6 (-6 is greater than -11); and at x = -1, y = -1 (-1 is greater than -6). The next x value, 0, returns a y value of -2. But -2 is less than -1, the value before it, so it begins deceasing again at x = 0.

Based on the values given in the table for f(x), the interval of x-values that show the function increasing is (-3, -1).

The value of f(x) was decreasing from 34 until it got to -11 where it then started to rise again. The relevant value of x here is -3.

The value then began to rise until it reached -1 where it then fell to -2. The x value here is -1.

The interval of x-values where the function is increasing is therefore (-3, -1).

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Answer:

  [tex]\dfrac{3}{14}[/tex]

Step-by-step explanation:

The even number of minus signs means the product will be positive. A factor of 3 can be removed to simplify the product. As usual, the numerator of the product is the product of numerators, and the denominator of the product is the product of denominators.

  [tex]-\dfrac{1}{6} \times \left(-\dfrac{9}{7}\right)=\dfrac{1\cdot 9}{6\cdot 7}=\dfrac{3\cdot 3}{3\cdot 14}=\boxed{\dfrac{3}{14}}[/tex]

Answer:

→ 3/4 ←

-1/6 × (-9/7)= 1·9/6·7  3·3/3·14 = 3/4

Answer

[tex] \boxed{10p}[/tex]

Step by step explanation

[tex] \mathsf{ - 4p + (- 6p)}[/tex]

When there is a ( + ) in front of an expression in parentheses, the expression remains the same

[tex] \mathsf{ - 4p - 6p}[/tex]

Collect like terms

[tex] \mathsf{ - 10p}[/tex]

Hope I helped!

Best regards!

Answer:

The third one

Step-by-step explanation:

Translation is when it moves

Answer:

(5*7)-f

Step-by-step explanation:

Algebraic expression for the given statement is [tex]5 \cdot 7 -f[/tex]

Algebraic expression is the combination of terms that consists of numbers  and variables connected by arithmetic operators.

Given statement is 5 times the quantity 7 minus a number f in an algebraic expression.

We need to write it in an algebraic expression

5 times a quantity. for product we use multiplication sign

For addition we use + sign and for difference we use minus sign .

5 times the quantity 7 means 5 multiplied by 7

[tex]5 \cdot 7[/tex]

5 times the quantity 7 minus a number f  

subtract f from the expression we got

[tex]5 \cdot 7 -f[/tex]

Algebraic expression for the given statement is [tex]5 \cdot 7 -f[/tex]

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Answer:

A

Step-by-step explanation:

Khan academy

The equation for the g(x) is g(x) = -4|x| if function g can be thought of as a scaled version of f(x)=|x| option (B) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

Function g can be thought of as a scaled version of f(x)=|x|

The function f(x):

f(x) = |x|

The blue lines represent the function f(x)

First reflect the function f(x) around the x-axis

F(x) = -|x|

Multiply by the factor 4 to stretch the function:

g(x) = -4|x|

Thus, the equation for the g(x) is g(x) = -4|x| if function g can be thought of as a scaled version of f(x)=|x| option (B) is correct.

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Answer:

x = - 2, y = - 8

Step-by-step explanation:

Given the 2 equations

13x - 6y = 22 → (1)

x = y + 6 → (2)

Substitute x = y + 6 into (1)

13(y + 6) - 6y = 22 ← distribute and simplify left side

13y + 78 - 6y = 22

7y + 78 = 22 ( subtract 78 from both sides )

7y = - 56 ( divide both sides by 7 )

y = - 8

Substitute y = - 8 into (2) and evaluate for x

x = - 8 + 6 = - 2

Thus x = - 2, y = - 8

Answer:

B. 6,940,000

Step-by-step explanation:

6.94 x 10^6

Make the number "6.94" as 694.

Since we make this decimal point move 2 places to the right.

We should decrease 2 powers from 10^6

=> 694 x 10^4

=> 694 x 10000

=> 6,940,000

So, the answer is B

Answer:

h=6.003 cm

Step-by-step explanation:

[tex] \frac{1}{3} \pi {r}^{2} h \: \: is \: the \: volume \: of \: cone[/tex]

1/3×22/7×7×7×h=308

h=308/51.3

Answer:

h = 6 cm

Step-by-step explanation:

r = 7 cm

Volume of cone = 308 cm³

[tex]\frac{1}{3}\pi r^{2}h=308\\\\\\\frac{1}{3}*\frac{22}{7}*7*7*h=308\\\\\\h=\frac{308*3*7}{22*7*7}\\\\\\h=2*3[/tex]

h = 6 cm

Answer:

Step-by-step explanation:

=-5 +4

= -1

put a dot on -1 and go from -5 to -1 and then from -1 to -5

Ok so the letters overwrap all of the alphabets and the other terms are in.

Answer:

see below

Step-by-step explanation:

Consonants and vowels do not overlap

There are no consonants that are vowels and no vowels that are consonants

That means the circles will never touch