Consider the functions:
f(x)=2/3
g(x)=2/3x-3+2
Which statement is true regarding the vertical and
horizontal translations from f(x) to g(x)?
The function flx) was translated left 3 units and up
2 units
The function f(x) was translated right 3 units and
down 2 units
O The function f(x) was translated left 3 units and
down 2 units
O The function f(x) was translated right 3 units and up
2 units

Answer:

a) -7

b) -13.5

c) no

d) (-∞, -27/2)

Step-by-step explanation:

a) substitute the variable into the equation and simplify

b)simplify both sides then isolate the variable

c) -7 is not greater than 0

d) isolate the variable by dividing each side by the factors that don't contain the variable

Answer:

D) 0

Step-by-step explanation:

In a ║gm, opposite sides are parallel and equal.

So,

RS = UT

=> x+5 = 2x+5

=> 2x-x = 5-5

=> 2x = 0

=> x = 0

Answer:

Step-by-step explanation:

i think 0

Answer:

True is the correct answer to the given question.

Step-by-step explanation:

Euclidean geometry  is the mathematical technique that are discovered by the Greek mathematician Euclid of the Alexandria .In the In the 19th century  fifth postulate of the euclidean geometry are created.

Answer:

I think 4.932651

Step-by-step explanation:

Answer:

Oh! that expression is equal to 4

Step-by-step explanation:

[tex]\sqrt{2\sqrt{7} -\sqrt{12} } \cdot \sqrt{2\sqrt{7} +\sqrt{12} }[/tex]

First, rewrite [tex]\sqrt{12} =\sqrt{2 \cdot 2 \cdot 3}=2\sqrt{3}[/tex]

[tex]\sqrt{2\sqrt{7} -2\sqrt{3} } \cdot \sqrt{2\sqrt{7} +2\sqrt{3} }[/tex]

[tex]\sqrt{2\sqrt{7} -2\sqrt{3} } \cdot \sqrt{2\sqrt{7} +2\sqrt{3} }[/tex]

Now we got a difference of two squares, therefore,

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

[tex]= (4 \cdot 7)-(4 \cdot3)=28-12=16[/tex]

[tex]\sqrt{2\sqrt{7} -2\sqrt{3} } \cdot \sqrt{2\sqrt{7} +2\sqrt{3} }=\sqrt{16}[/tex]

[tex]\sqrt{16} = 4[/tex]

Answer:

m<1=104°

m<2=38°

m<3=104°

m<4=38°

Solution,

<2=38( diagonal of rhombus divide the angle into two

equal parts)

<4=38°( opposite angles are equal)

Now,

from angle sum property,

38+38+<3=180°

76+<3=180°

<3=180-76

<3=104°

< 3=<1=104

So,

m<1=104°

m<2=38°

m<3=104°

m<4=38°

Hope this helps...

Good luck on your assignment....

Answer:30,000

Step-by-step explanation:

Answer:

never

Step-by-step explanation:

The expression: ~q means "not q"

If ~q is false, then q is true

The expression:

If p is true and ~q is false

is equivalent to:

If p is true and q is true

then:

If p is true and q is true, then p -> q is never false (or is always true, see table attached). Or:

If p is true and ~q is false, then p -> ~q is never false.

Answer:

All real numbers or (negative infinity, positive infinity)

Step-by-step explanation:

The equation given is a parabola. A parabola has infinite values of x inputs that produce an infinite amount of y outputs. All values of x produce an output, so any number of x would work.

Answer:

Step-by-step explanation:

(-∞,+∞), since any quadratic equation graph (quadratic parabola) has only range restrictions (the min and max), but the for any x value there is a y value.

Answer:

50 feet

Step-by-step explanation:

We have to find the perimeter of the fence surrounding the garden.

2l+2w

2(15) + 2(10)

30 + 20

= 50

50 feet will be needed.

Length = 10 feet

Breadth = 15 feet

Perimeter = 2(length + breadth)

                 = 2(10+15)

                 = 2 x 25

                 = 50 feet

Therefore, you will need 50 feet of chain link fence.

Answer:$140 for the train ride

$84 for the museum

Step-by-step explanation:

28×5

28×3

All the students + you = 28

If not, try 27×5 and 27×3

Answer:

Step-by-step explanation:

There are two values to find and add together.

o The admission cost for the Museum

o The admission cost for the Train Ride

Let's make some equations.

x=number of people

Museum: 3x=total cost for Museum (m)

Train Ride: 5x=total cost for Train Ride (t)

m+t= total money spent

Now, let's replace the values.

Museum: 3(27)=$81

Train Ride: 5(27)=$135

$81+$135=$216 for the Train Ride and visit to the Museum.

Hope this helps!

-Emma

Answer:

78.5 cm^2

Step-by-step explanation:

The formula for the area of a circle is A=pi*r^2. In this case, the radius is 5 and pi is 3.14 so, A=(3.14)(5)^2. When we plug this into a calculator, we get 78.5 which will be the area for the circle. :)

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

See below

Step-by-step explanation:

[tex](x+5i)(x-\sqrt{6})=0 \\\\x^2+5ix+x\sqrt{6}-5i\sqrt{6}=0[/tex]

Hope this helps!

Answer:

[tex]6y^2+12y[/tex]

Step-by-step explanation:

[tex]\left(5y^2+y+6\right)+\left(y^2+11y-6\right)[/tex]

remove parentheses

[tex]\left5y^2+y+6\right+\lefty^2+11y-6\right\\[/tex]

add like terms

[tex]6y^2+12y+6-6\\[/tex]

simplify

[tex]6y^2+12y[/tex]

Answer:

A) x = 20

Step-by-step explanation:

ABCD is a rhombus, AC and BD are diagonals which intersect each other at point E.

Since, diagonals of a rhombus are perpendicular bisector.

[tex] \therefore \: m \angle AED = 90 \degree \\ \therefore \: (5x - 10) \degree = 90 \degree \\ \therefore \: 5x - 10 = 90 \\ \therefore \: 5x = 90 + 10 \\ \therefore \: 5x = 100 \\ \\ \therefore \: x = \frac{100}{5} \\ \\ \huge \red{ \boxed{ \therefore \: x =20}}[/tex]

Step-by-step explanation:

[tex]A =(125^{2} + 25^{2} ) (5^{2} - 1)\\A = [(5^{3})^{2} + (5^{2})^{2} ] . (5^{2} - 1)\\A = (5^{6} + 5^{4} ). (5^{2} - 1)\\A = [5^{4} . ( 5^{2} + 5)].(5^{2} - 1) \\A = 5^{4} . (25+ 5). (5^{2} - 1)\\A = 5^{4} . 30. (5^{2} - 1)\\[/tex]

Since 30 is divisible by 3

Thus, A is divisible by 3

Good luck!

[tex](125^2+25^2)(5^2-1)=\\\\=(125^2+25^2)(25-1)=\\\\=(125^2+25^2)\cdot24=\\\\=(125^2+25^2)\cdot8\cdot{\bold{\underline3}}[/tex]

125 and 25 are integer ⇒125² and 25² are integer ⇒(125²+25²) is integer

One of factors of given expression  is 3 so given expression  is divisible by 3

                                            q.e.d.  

Answer:

See below.

Step-by-step explanation:

Recall that the biggest angle will always be opposite from the biggest side.

IT is opposite from Angle S, which we can figure out to be 180-108-25=47.

SI is opposite from Angle T, which is 41.

ST is opposite from Angle I (the whole thing). Just from looking at it, we know that it is the biggest angle. If we want to figure it out, Angle I is 180-41-72+25=92.

The smallest side is SI, then IT, then ST.

The correct order is: SI, IT, and ST.

Answer:

E

Step-by-step explanation:

In the picture attached, the Truth Table for the operator “OR”  is shown. With it we can compute the next table:

p   q ∧ r   p ∨ (q ∧ r)

T      T          T

T      F          T

F      T          T  

F      F          F

We want that p would be false and p ∨ (q ∧ r) would be true, which corresponds to the third row of the previous table.

The only row from the table of the question that satisfies this criterion is row E.

Answer:

330488  doctors

Step-by-step explanation:

Take the percentage times the total number of doctors

16.4% * x =54200

Change to decimal form

.164x = 54200

Divide each side by .164

x = 54200/.164

x =330487.8049

x =330488

Answer:

8888.8

54,200 is your whole total. Out of 54,200 16.4 percent were female. To the find the answer, we would multiply 16.4 by 54200 and divide it by 100.

:)

Answer: 3 units

Step-by-step explanation:

Answer:

[tex]x = 18[/tex]

Step-by-step explanation:

[tex] \frac{1}{3} x + 4 = 10 \\ \frac{1x}{3} = 10 - 4 \\ 1x = 6 \times 3 \\ 1x = 18 \\ x = 18[/tex]

Answer:

18.75 miles

Step-by-step explanation:

45 miles per hour.

25 minutes is 5/12 of an hour.

45 × 5/12

= 18.75

Answer:

Distance = 11.25

Step-by-step explanation:

[tex]Distance = Speed*Time\\\\Speed = 45 -miles\\Time = 25 =\frac{25}{100} minutes=\frac{1}{4} \\Distance = ?\\\\Distance = 45 * \frac{1}{4} \\Distance = 11.25[/tex]

Answer:

44

Step-by-step explanation:

Greatest common factor is 4

36 = 4*9

8 = 4*2

36+8 = 4*9 + 4*2

= 4(9+2)

= 4(11)

= 44

Hope it helps ...

Answer:

x=11

Step-by-step explanation:

the 100-2=98 so you would need the 98 times 89 on both sides or something that is equal

[tex]\bigstar\bf\:89\times (100-2)=98\times (100-x)[/tex]

[tex]:\implies\tt\:89\times 98=98\times (100-x)[/tex]

[tex]:\implies\tt\:100-x=\dfrac{89\times 98}{98}[/tex]

[tex]:\implies\tt\:100-x=89[/tex]

[tex]:\implies\tt\:x=100-89[/tex]

[tex]:\implies\boxed{\bf{\gray{x=11}}}[/tex]

Answer:

The expressions are not equivalent due to the fact that if you were to substitute real numbers you would not get equivalent answers.

Step-by-step explanation:

If you substitute with real numbers, it helps you to get a better view of the equation.

Say you plug in x=5.

5+5 = 5(5)

10=25

The answers are not equivalent.

Hope this helps!

Answer:

9

Step-by-step explanation:

|4 - 5 + 10| = |9| = 9

Answer:

* = 9

Step-by-step explanation:

|4 - 5 + 10| = *

| -1 + 10 | = *

| 9 | = *

* = 9

Answer:

When x=2 the expression is undefined

Step-by-step explanation:

When the denominator is zero, the expression is undefined

2x-4 =0

2x=4

x=4/2

x=2

When x=2 the expression is undefined

Answer:

2164.86432

Step-by-step explanation:

2000(1+(.08/4))^4

2164.86

Answer:

x= 70

Step-by-step explanation:

This question needs an attachment; see attached

Given

ABD = 55

Required

Find x?

In the figure shown in the attachment, angle b and ABD are alternate interior angles;

From parallel and perpendicular line theorems; alternate interior angles are equal.

This implies that <b = 55

Also; when a rectangle is divided by two diagonals, the resulting triangles are isosceles triangles;

where 2 sides and 2 angles are equal;

This implies that <b = <c = 55

Sum of angles in a triangle  = 180;

So,

<x + <b + <c = 55

x + 55 + 55 = 180

x + 110 = 180

Subtract 110 from both sides

x + 110 - 110 = 180 - 110

x = 180 - 110

x = 70