Find the least common denominator for these two rational expressions -4/a^2 and 5/3a

Answer:

4k-6

Step-by-step explanation:

[tex]3k+ -9k+ -6+10k=3k-9k-6+10k=4k-6[/tex]

Answer:

4k-6

Step-by-step explanation:

3k+-9k=-6k ; -6k + 10k = 4k ; 4k+ -6 = 4k-6

You need to factor the numerator and denominator...

(2x^2+4x-2x-4)/(2x^2-2x-2x+2)

(2x(x+2)-2(x+2))/(2x(x-1)-2(x-1))

((2x-2)(x+2))/((2x-2)(x-1))  so the (2x-2)s cancel out leaving

(x+2)/(x-1)

Answer:

[tex]\large\boxed{\dfrac{2x^2+2x-4}{2x^2-4x+2}=\dfrac{x+2}{x-1}}[/tex]

Step-by-step explanation:

[tex]\dfrac{2x^2+2x-4}{2x^2-4x+2}=\dfrac{2(x^2+x-2)}{2(x^2-2x+1)}=\dfrac{x^2+x-2}{x^2-2x+1}\\\\=\dfrac{x^2+2x-x-2}{x^2-x-x+1}=\dfrac{x(x+2)-1(x+2)}{x(x-1)-1(x-1)}\\\\=\dfrac{(x+2)(x-1)}{(x-1)(x-1)}\qquad\text{cancel}\ (x-1)\\\\=\dfrac{x+2}{x-1}[/tex]

Answer:6

Step-by-step explanation:

Answer:

6 months

Step-by-step explanation:

3 divided .5 = 6

2 months = 1 inch

1 inch x 3 = 3 inches

2 months x 3 = 6 months

Answer:

The answer is C. y=cos(0.4x)

Step-by-step explanation:

took the test

Answer: c

Step-by-step explanation:

y=cos(0.4x)

Answer: PART A : [tex]\frac{4.4}{x}[/tex] = [tex]\frac{3}{4}[/tex]

PART B : 5.9 FEET

Step-by-step explanation:

Length of the first sign = 4.4 feet

height of the first sign = 3 feet

Length of the second sign = x feet

height of the second sign = 4 feet

If two shapes are similar , then the ratio of their sides are equal,

That is ;

[tex]\frac{h_{1}}{h_{2} }[/tex] = [tex]\frac{L_{1}}{L_{2} }[/tex]

PART A

[tex]\frac{4.4}{x}[/tex] = [tex]\frac{3}{4}[/tex]

PART B

[tex]\frac{4.4}{x}[/tex] = [tex]\frac{3}{4}[/tex]

cross multiplying , we have

3x = 4.4 x 4

3x = 17.6

Divide through by 3

x = 17.6/3

x = 5.86666666666667

x≈ 5.9 feet

Therefore , the length of the new sign is 5.9 feet

Answer:

We can say that equations 1 and 2 have no solutions.

Step-by-step explanation:

The equation 1 is |3x − 1| + 7 = 2 ........ (1)

⇒ |3x − 1| = - 5

This equation is invalid as the absolute value of (3x - 1) will always be positive and here it is - 5.

Therefore, this above equation has no solution.

The equation 2 is |2x + 1| + 4 = 3 ........ (2)

⇒ |2x + 1| = - 1

This equation is invalid as the absolute value of (2x + 1) will always be positive and here it is - 1.

Therefore, this above equation has no solution.

Hence, we can say that equations 1 and 2 have no solutions. (Answer)

Answer:

5x + 3

Step-by-step explanation:

1) Collect like terms.

(2x − x + 3x + x) + (5 − 2)

2) Simplify

5 x + 3

Answer:

D.) hope this help if i don´t then o well

Step-by-step explanation:

Answer:

Its 24 and 12

Step-by-step explanation:

Answer:

He's right

Step-by-step explanation:

The length of rectangle will be 18 meters and width of rectangle will be 11 meters.

It is given that width of a rectangle is seven meters less than the length.

If perimeter of rectangle is 58 meters then find the value of length and width.

What are the area and perimeter of a rectangle ?

The area of rectangle is A = L × B and the perimeter is 2 ( L + B ) , where ; L = length and B = width.

Let's assume the length of the rectangle is x.

The width of the rectangle will be ;

= x - 7

Also ; the perimeter of triangle is given which is equal to 58 meters.

We know that ; the perimeter of triangle is given by ;

Perimeter = 2 × ( length + width )

So ;

58 = 2 [ x + (x - 7)]

58 = 2 ( 2x - 7 )

58 = 4x - 14

or

4x = 58 + 14

4x = 72

x = 72 ÷ 4

x = 18 meters

So ;

Length = 18 meters

and

Width = 18 -7 = 11 meters

Thus , the length of rectangle will be 18 meters and width of rectangle will be 11 meters.

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Answer: B. 42 inches

Step-by-step explanation:

Answer:

42 inches

Step-by-step explanation:

The function states in its second row that for size 2, the range of x (a child’s height in inches) is 42 ≤ x < 44. Then, the option 41.9 is incorrect because is less than 42 and x is greater-or-equal-to 42; option 44 inches is incorrect because it is equal to 44 and the equality sign is not included; option 44.1 inches is greater than 44 and x is less than 44; and option 42 inches is correct  because x is greater-than-or-equal to 42, that is, the equal sign is included.

-4= Contraction

2.5=Expansion

2/3= Contraction

-3/4= Contraction

Best way to solve this, if the scale factor is less than one, is a contraction. If it is greater than one, than it is an expansion.

Answer:

see the explanation

Step-by-step explanation:

The correct question is

Prove ∠H≅∠J

we know that

The Angle-Side-Angle postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent,

we have

∠HIG≅∠JKI ----> given problem

∠HGI≅∠JIK ----> by corresponding angles (HG and JI are parallel lines)

GI≅IK ----> given problem

so

two angles and the included side of triangle HIG are congruent to two angles and the included side of triangle JKI

therefore

triangle HIG ≅ triangle JKI ---> by ASA postulate

Remember that

If two figures are congruent, then its corresponding sides and corresponding angles are congruent

Hence

∠H≅∠J ----> by definition of congruence (corresponding angles are congruent)

14 ft > [tex]4\frac{1}{2}[/tex] yards

Step-by-step explanation:

Given,

14 ft ____ 4 1/2 yd.

We will convert yards into feet to determine the inequality.

1 yard = 3 feet

[tex]4\frac{1}{2}[/tex] yards = [tex]3*4\frac{1}{2}[/tex]

[tex]4\frac{1}{2}[/tex] yards = [tex]3*\frac{9}{2}[/tex]

[tex]4\frac{1}{2}[/tex] yards = 3*4.5 = 13.5 feet

which is less than 14 feet, making 14 feet greater, therefore, we will use 'greater than' inequality.

14 ft > [tex]4\frac{1}{2}[/tex] yards

Keywords: inequality, conversion

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Answer:

>

Step-by-step explanation:

Answer:

The one in the top left corner and bottom middle

Mai take 9 more strokes than Noah.

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

We have to given that;

The leader board at the Lakeside Golf Tournament shows that,

Mei's score is 3 and Noah's score is -6.

Now,

Since, Mei's score is 3 and Noah's score is -6.

Hence, The number of more scores of Mei's than Noah is,

⇒ 3 - (-6)

⇒ 3 + 6

⇒ 9

Thus, Mei take 9 strokes more than Noah.

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The derivative of y=cos(^7)base x is

Dydx = (cos(7x))x⋅(ln(cos(7x))−7x(tan(7x)))

Step-by-step explanation:

step 1 :

y= (cos(7x))x

Take the natural logarithm of either side, bringing the t x down to be the coefficient of the right hand side we get the answer:

step 2 :

⇒ln y = xln (cos (7x))

Differentiate each side with respect to x. The rule of implicit differentiation: ddx (f(y)) = f'(y) ⋅ dydx

step 3 :

∴1y ⋅ dydx  = ddx (x) ⋅ln (cos(7x)) + ddx (ln (cos(7x)))⋅x

Use the chain rule for natural logarithm functions – ddx ( ln (f(x)) )= f'(x)f(x) - we can differentiate the ln (cos (7x))

step 4 :

Ddx (ln (cos(7x))) = −7xsin (7x) cos( 7x 7tan (7x)

Returning to the original equation:

1y ⋅dydx = ln (cos(7x))−7xtan(7x)

Substitute the original y as a function of x value from the start back in.

Dydx = (cos(7x))x⋅(ln(cos(7x))−7x(tan(7x)))

Answer:

A) division

Step-by-step explanation:

4x=-4

4x/4=-4/4 (dividing by 4 on both sides)

x=-1

Answer:

About $90, because the trend line shows that value for $11.

Step-by-step explanation:

It is the only one that shows a constant rate of change.

Answer:

the first one ( the line closest to 90)

Step-by-step explanation:

Answer:

4 tens 6 ones

Step-by-step explanation:

those are the only way

The number 46 can be expressed as 4 tens and 6 ones, representing the value 40 plus 6, utilizing the powers of ten place value system.

When expressing the number 46 in terms of tens and ones, we use the place value system which is based on powers of ten.

In this system, each place in the number represents a power of 10.

To represent 46 as tens and ones, we look for the highest power of ten that fits into the number without exceeding it.

In the case of 46, that value is 40, because 4 tens (4 x 10) equal 40, and there are 6 ones left over.

Therefore, we can say that 46 consists of 4 tens and 6 ones. This can be shown visually as:

Answer:

C

Step-by-step explanation:

The diagonal of the square creates 2 right triangles with the diagonal as the hypotenuse.

Using Pythagoras' identity in either of the right triangles.

The square on the hypotenuse is equal to the sum of the squares of the other 2 sides.

Let x be the side of the square, then

x² + x² = 40², that is

2x² = 1600 ( divide both sides by 2 )

x² = 800 ( take the square root of both sides )

x = [tex]\sqrt{800}[/tex]

  = [tex]\sqrt{100(8)}[/tex]

=  = 10[tex]\sqrt{8}[/tex]

  = 10 × [tex]\sqrt{4(2)}[/tex]

  = 10 × 2[tex]\sqrt{2}[/tex] = 20[tex]\sqrt{2}[/tex] → C

Answer:

29.25

Step-by-step explanation:

you need to take 35 and turn it into a decimal making it .35 then multiply 45 by .35 and you get 15.75 then subtract that from 45

Answer:

1.14

Step-by-step explanation:

hundreth = 0.01

so we ignore the 3 because it is in teh thousandths

hope this helps :)

Answer:

grapes cost $1.25 per pound

blueberries cost $4 per pound

Step-by-step explanation:

We have two unknowns, the cost of grapes and the cost of blueberries.

I'll call grape g and blueberries b.

since 21lb grapes and 44lb of blueberry cost $202.25, we can set up our first equation.

21g + 44b = 202.25

and the question also said 30lb grape and 22lb blueberries cost $125.50, we can set up our second equation.

30g + 22b = 125.5

now that we have two equations, you can use any methods you want to solve for the variable. I'm gonna use elimination.

    21g + 44b  = 202.25

-2(30g + 22b = 125.50)

━━━━━━━━━━

-39g = -48.75

    g = 48.75/39

    g = 1.25,     grapes cost $1.25 per pound

now use substitution to find the cost of blueberries. you know the value of g now so plug it back in to one of the equation.

21g + 44b  = 202.25

21(1.25) + 44b  = 202.25

26.25 + 44b = 202.25

44b = 176

b = 4      , blueberries cost $4 per pound

Answer:

The distance of frame from each side of the wall so that it is at centered is 7.5 feet

Step-by-step explanation:

Given as :

The measure of the wall = 17[tex]\dfrac{3}{4}[/tex] feet

i.e The measure of the wall =[tex]\dfrac{71}{4}[/tex] feet

The measure of the picture = 2[tex]\dfrac{3}{4}[/tex] feet

i.e The measure of the picture =[tex]\dfrac{11}{4}[/tex] feet

Let The distance from each side of wall so that frame at centered = x feet

Now, According to question

x = The measure of the wall - measure of the picture

Or, x = [tex]\dfrac{71}{4}[/tex] feet - [tex]\dfrac{11}{4}[/tex] feet

Or, x = [tex]\dfrac{71 - 11}{4}[/tex] feet

Or, x = [tex]\dfrac{60}{4}[/tex] feet

∴ x = 15 feet

Now, For each side so that frame st centered = [tex]\dfrac{15}{2}[/tex] feet

Or,  For each side so that frame st centered = 7.5 feet

Hence,The distance of frame from each side of the wall so that it is at centered is 7.5 feet Answer

Answer:

Perimeter of square is [tex]\frac{20}{7} \ units \approx2.86\ units.[/tex]

Step-by-step explanation:

Given:

Perimeter of square = [tex]4x[/tex]

where side length = 'x' units.

We need to find the Perimeter of square with side length[tex]\frac{5}{7}[/tex]

Now We know that;

[tex]x= \frac{5}{7}[/tex]

Substituting the value of x in perimeter of square formula we get;

Perimeter of square = [tex]4\times\frac{5}{7} = \frac{20}{7} \ units \approx2.86\ units.[/tex]

Hence Perimeter of square is [tex]\frac{20}{7} \ units \approx2.86\ units.[/tex]

Answer:

24

Step-by-step explanation:

y/4-9=-3

y/4=-3+9

y/4=6

y=6*4

y=24

Answer:

nearest percent is about 56%

Answer:

56

Step-by-step explanation:

Answer:

64,000 ounces

Step-by-step explanation:

1 ton = 32,000 ounces

2 tons x 32,000 ounces (which is equal to one ton)

=64,000 ounces

2 tons = 64,000 ounces

A 2-ton rhinoceros weighs 64,000 ounces, which is calculated by converting tons to pounds and then pounds to ounces.

The weight of a rhinoceros weighing 2 tons can be calculated in ounces by first converting the weight to pounds. As we know from previous examples, 1 ton = 2,000 pounds. So, a 2-ton rhinoceros weighs 2 × 2,000 = 4,000 pounds. Now, to convert pounds to ounces, we use the conversion factor that 1 pound = 16 ounces. Therefore, a 2-ton rhinoceros weighs 4,000 × 16 = 64,000 ounces.

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