Eric walks 7 km East in 2 hours and then 2.5 km West in 1 hour.

___ km/hr is the average speed and ___ km/hr is the average velocity for the whole journey that Eric takes.

Answer:

its simple 5.90

Step-by-step explanation:

9514 1404 393

Answer:

  x = 8.5

Step-by-step explanation:

The given angles are complementary, so ...

  (4x -8) +(6x +13) = 90

  10x +5 = 90 . . . collect terms

  10x = 85 . . . subtract 5

  x = 8.5 . . . . divide by 10

Answer:

C

Step-by-step explanation:

For edge

The exponential equation is given by the expression A = 2¹²

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

A = 16³   be equation (1)

Now , the value of 16 = 2⁴

So , from the laws of exponents , we get

( mᵃ )ᵇ = mᵃᵇ

And , 2⁴⁽³⁾ = 2⁴ˣ³

And , the value of A = 2⁴ˣ³ = 2¹²

Hence , the expression is A = 2¹²

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Answer:

No.

Step-by-step explanation:

For functions, there can only be one y-value to every x value, and in this diagram x=0 has two y-values, therefore it is not a function      

Answer:Not a function

Step-by-step explanation:In a function, an input can only have one output. So the fact that 0 has two different outputs means it is not a function.

Answer:

B

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 9x + 7 ( subtract 7 from both sides )

y - 7 = 9x ( divide all terms by 9 )

[tex]\frac{1}{9}[/tex] y - [tex]\frac{7}{9}[/tex] = x

Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus

[tex]f^{-1}[/tex] (x) = [tex]\frac{1}{9}[/tex] x - [tex]\frac{7}{9}[/tex] → B

Answer: CD = 10

Step-by-step explanation:

Subtract the smaller one from the larger one.

D(14, 2) - C(4, 2)

First, you subtract the x-values:

14 - 4 = 10

Then, you subtract your y-values:

2 - 2 = 0

Since the y-value is 0 (since it is a straight line), your distance of CD is 10.

Hope this helps!

Answer:

the answer is 3 1/2 hours

Explanation: Just add all the fractions and numbers and subtract that by 9 1/4

Answer:

0.1600

Step-by-step explanation:

because it would round to the closest number which is 0.1600

Answer:

1hour

Step-by-step explanation:

1 hour because twelve divided by 6 is 2

Answer:

no

Step-by-step explanation:

yes

Answer:

c) -11 1/2

Step-by-step explanation:

basically, you work backwards using the inverse operation.

start with -7, subtract 5.25 and you get -12.25, then add .75 (3/4) and you get -11.5 or -11 1/2

Answer:36

Step-by-step explanation:

Answer:

13.

Step-by-step explanation:

65-52=13

It takes Maria 7.5 hours to assemble a furniture set alone.

Let x represent the amount of time in hours that it takes Maria to assemble a furniture.

Given that it take Adam to assemble a furniture set in 5 hours. If his sister

Maria helps, they can finish it in 3 hours, hence:

3 hours (1 / 5hour) + 3 hours (1 / x) = 1

3/5 + 3/x = 1

3/x = 2/5

x = 7.5 hours

It takes Maria 7.5 hours to assemble a furniture set alone.

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Answer:

The answer is C

Explanation:

This is because 2(-2) + -2 is smaller than -4

Answer:

THANKS SM

Step-by-step explanation:

Answer:

20, 22, and 24

Step-by-step explanation:

hope this helps. can I also have brainliest please :)

Answer:

BRAINLIEST PLZZ

Step-by-step explanation:

The other 2 numbers are (x + 2) and (x + 4)

Their sum is 66:

x + (x + 2) + (x + 4) = 66

x + x + 2 + x + 4 = 66

3x + 6 = 66

3x = 60

x = 20

2nd number = x + 2 = 20 + 2 = 22

3rd number = x + 4 = 20 + 4 = 24

Answer: The numbers are 20, 22 and 24

Answer:

The answer is "Screen B is wider , because 5.3 is greater than 5 and one-third".

Step-by-step explanation:

The mobile display unit must be made similar. Phone A uses a decimal device, and telephone B uses a fraction in this case.

It's easier for you to use. Attempt using the decimal. The width of the phone B fraction could then be translated to decimal width. The computing is:

= 5 cm + [tex]\frac{1}{3}[/tex] cm

= 5 cm + 0.333cm

= 5.333 cm

It is evident from here that the wider screen of Phone B is than that of Phone A.

Answer:

They are all the same width

Step-by-step explanation:

Answer:

y = 119

x = 29

Step-by-step explanation:

Answer:

A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2) YES

B. (x)= x^3+ 5x^2 + 4x / x (x + 1) (x + 4) NO

C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2) Yes

D. (x) = x^3– 6x² + 11x- 6 / x = (x - 3) (x - 2) (x - 1) NO

Step-by-step explanation:

The solution is:;

A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2)

C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2),

are the polynomials that have (x + 2) as a factor.

Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.

3x+2x-5, for example, is a polynomial.

EXPLANATION

We want to find which of the given polynomials has (x + 2) as a factor.

To do this, we have to equate (x + 2) to 0 and solve for x:

(x + 2) = 0

x = -2

Now, substitute that into each of the polynomials. If (x + 2) is a factor of a polynomial, the polynomial will become 0 after the substitution is made.

A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2) YES

B. (x)= x^3+ 5x^2 + 4x / x (x + 1) (x + 4) NO

C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2) Yes

D. (x) = x^3– 6x² + 11x- 6 / x = (x - 3) (x - 2) (x - 1) NO

Hence, The solution is:;

A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2)

C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2),

are the polynomials that have (x + 2) as a factor.

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Answer:

translated  1 unit right and 2 units up followed by a reflection across x axis

Step-by-step explanation:

Parallelogram has vertices A(−2, 1), B(−4,−3), C(2,−5), D(4,−1) while parallelogram A'B'C'D' has vertices A'(-1, -3) B'(-3, 1) C'(3, 3) D'(5, -1)

Transformation is the movement of a point from its initial location to  new location. If an object is transformed then all its points are transformed. Types of transformation are rotation, reflection, dilation and translation.

If a point X(x, y) is translated a units right and b unit up , the new point is X'(x + a, y + b).

If a point X(x, y) is reflected across the x axis, the new point is X'(x, -y)

If parallelogram ABCD is translated  1 unit right and 2 units up (i.e. x + 1, y + 2), the new points is A*(-1, 3), B*(-3, -1), C*(3, -3), D*(5, -1). If a reflection across x axis is then done, the new point is A'(-1, -3) B'(-3, 1) C'(3, 3) D'(5, -1)

Answer:

A translation 1 unit right and 2 units up followed by a reflection across the x-axis.

Step-by-step explanation:

Because you slid the shape over.

Answer: y=(-5x/2)+5

Step-by-step explanation:

There is no clear cut explanation for this. y cannot directly equal a number. Let me show you.

Subtract 5x from both sides.

5x-5x+2y=10-5x

2y=-5x+10

Then to get to y to being by itself, divide by 2 on both sides

(2y/2)=(-5x+10)/2

y=(-5x+10)/2----> or -5x/2 + 10/2

y=(-5x/2)+5

Answer:

[tex]x > 42[/tex]

Step-by-step explanation:

[tex]\frac{x}{6} > 7[/tex]

Multiply 6 on both sides. [tex]6(\frac{x}{6}) > 6(7)[/tex].

Simplify it. [tex]x > 42[/tex]

Therefore, the answer is [tex]x > 42[/tex].

Hope this helped! If not, please let me know! <3

Answer:

x = 32.5

y = 65

Step-by-step explanation:

y = 65 degrees

65 and y are the base angles in an isosceles triangle ( single lines)  so they are equal

y+z = 180 since they form a straight line

65+z = 180

z = 180-65

z = 115

The second triangle is also an isosceles triangle so the base angles are the same as shown by x

180 = x+x+z

180 =2x+ 115

65 = 2x

Divide by 2

x = 32.5

Answer:

Shouldn't it be (4,0) and (0,6)?

Step-by-step explanation:

Answer:

5:20 3:12

Step-by-step explanation:

The first number is 1/4 the size of the second number, hence thise being correct.

Answer:

z

Step-by-step explanation: