Which equation represents the slope-intercept form of the line below?

Answer:

D

Step-by-step explanation:

Answer:56.9

Step-by-step explanation:

Answer:

I believe it is the third option because it prompts to divide the cost between every person

Step-by-step explanation:

Answer:

500/x

Step-by-step explanation:

per means divide

The numerator for the given rational expression is 3 + 5k.

In the given rational expression, (3 + 5k) represents the numerator. The numerator is the part of the fraction that is located above the division line or the horizontal bar.

In this case, the expression 3 + 5k is the numerator because it is the sum of 3 and 5k. The term 3 is a constant, and 5k represents the product of 5 and k, which is a variable.

The numerator consists of the terms 3 and 5k, which are combined using addition (+). Therefore, the numerator can be written as 3 + 5k.

To clarify, the numerator is the value that contributes to the overall value of the fraction. In this case, it is the sum of 3 and 5k.

Hence, the correct answer for the numerator of the given rational expression (3 + 5k) / (74/k^2) is 3 + 5k.

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After the taxes and rent, the remaining amount in his gross pay is $5,700

The term gross income is defined as also known as gross pay when it’s on a paycheck is an individual’s total earnings before taxes or other deductions.

Here we have given that Rene makes $38,000 per year and pays about 35% of his gross monthly income in federal and state taxes.

And as we all know that If you live in a metropolitan city, your HRA is equivalent to 50% of your basic salary.

Therefore, the remaining amount in his hand is calculated as,

=> $38000 - [35% of income + 50% of income]

Here the 35% of income is

=> 38000 x 35/100

=> 380 x 35

=> 13300

Similarly, the 50 percent of the income is

=> 38000 x 50/100

=> 380 x 50

=> 19000

Then the remaining amount is calculated by apply the values on it, then we get,

=> $38000 - [$13300 + $19000]

=> $3800 - $32300

=> $5700

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Answer:

18

Step-by-step explanation:

Let, the three consecutive numbers be x, 2x and 3x

According to question,

x + 2x + 3x = 45

or, 5x = 45

or, x = 45/5

or, x = 9

Since , the middle among three of the integers is 2x

so, 2x = 2× 9 = 18

Answer:

x=2

Step-by-step explanation:

To solve for x we must use similar rules to rearranging equations :

8x - 6 = 10

Add 6 to both sides :

8x = 16

Divide both sides by 8 :

x = 16÷8

x = 2

Hope this helped and have a good day

Answer:

x=2

Step-by-step explanation:

8x-6=10

8x-6+6=10+6

8x=16

8x/8 = 16/8

x=2

if you want to made the triple then you want to have:

Now we can replace that in the interest equation so:

Where t are the number of years so we solve for t so:

so in 0.55 years he will have the triple of the money, and to the neasres whole number will be in one year

Answer:

x = 6

Step-by-step explanation:

Based on the two secants intersecting theorem, thus:

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

x*4 + 4*4 = (8)*5

4x + 16 = 40

4x + 16 - 16 = 40 - 16 (subtraction property of equality)

4x = 24

4x/4 = 24/4 (Division property of equality)

x = 6

Answer:

  2.7 m

Step-by-step explanation:

Corresponding sides of similar triangles are proportional. This figure shows similar triangles ∆ABC ~ ∆ADE.

__

The proportion that can be used to find h = DE is ...

  DE/BC = DA/BA

  h/(0.9 m) = (12 m+6 m)/(6 m) . . . . . filling in the values given

  h = (0.9 m)(18/6) . . . . . multiply by 0.9 m

  h = 2.7 m

The value of "h" is 2.7 m.

The quotient of the given polynomial -3| -2 15 -22 -15 solved by applying synthetic division is equal to ( -2x² + 21x - 85 ) with remainder 240

We have four terms in the right side of the box.

This represents the polynomial is of degree 3.

Degree of the quotient of the polynomial is less than the original polynomial.

As per synthetic division we have,

Multiply -3 by -2 and add it to -2.

-3|    -2   15    -22    -15

              6                          

               21

Now Multiply -3 by 21 and add it to 15.

-3|    -2   15    -22    -15

              6     -63                    

              21     -85

Then, Multiply -3 by 3 and add it to -22.

-3|    -2   15    -22    -15

               6    -63     255                

                21    -85    240

The synthetic division can be written in polynomial form as

-2x³ + 15x² -22x -15

= ( x + 3 ) ( -2x² + 21x - 85 ) + 240.

It is not perfectively divisible by ( x + 3) .

Remainder = 240.

Therefore, the quotient of the polynomial after applying synthetic division is equal to ( -2x² + 21x - 85 ) with remainder 240.          

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The above question is incomplete , the complete question is:

What is the quotient of the synthetic division problem below, written in polynomial form?

-3| -2 15 -22 -15.

Answer: What is a Distributive Law?

Step-by-step explanation:

Distributive law, also called distributive property, in mathematics, the law relating the operations of multiplication and addition, stated symbolically as a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac. From this law it is easy to show that the result of first adding several numbers and then multiplying the sum by some number is the same as first multiplying each separately by the number and then adding the products.

{Hope This Helps :)}

Multiplying a number by a group of numbers adding together is called distructive law

Answer:

the missing values is 5

I hope it's helps you

Answer:

The absolute value is 8

Step-by-step explanation:

the absolute value of a number is always going to be positive. if you have a negative number and need the absolute number, you just put the opposit of the number.

Answer:

The absolute value is 8

After considering the equation, inverse of y = \(9x^ {2}\) - 4 is found as  \(f^{-1x}\)= ±√[(x + 4)/9].

To find the inverse of the function y = \(9x^{2}\) - 4, we can follow these steps:

x = \(9y^{2}\) - 4

x + 4 = \(9y^{2}\)

\(y^{2}\) = (x + 4)/9

y = ±√[(x + 4)/9]

Note that since we are finding the inverse of a function, we need to include both the positive and negative square roots to ensure that the inverse is a function.

3. Switch the roles of x and y by replacing y with \(f^{-1x}\) and x with f(y):

\(f^{-1x}\) = ±√[(x + 4)/9]

Therefore, the inverse of y = 9x² - 4 is \(f^{-1x}\) = ±√[(x + 4)/9].

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Answers: 36

Step-by-step explanation:

The real number √21 is an example of an irrational number. (Correct choice: C)

According to number theory, real numbers are formed by the following sets:

Then, by direct inspection we get the following conclusions:

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Answer:

18

Step-by-step explanation:

Find LCM of 6 and 9

6, 12, 18

9, 18

18

The equation of equilibrium states that the sum of the forces in the x-direction must be zero.

Equation of equilibrium:

F_x = 0 = mgsinθ - mgsinϕ

mgsinθ = mgsinϕ

sinθ = sinϕ

θ = ϕ

The equation of equilibrium states that the sum of the forces in the x-direction must be zero. This means that the force due to gravity in the x-direction, mgsinθ, must be equal to the force due to gravity in the x-direction, mgsinϕ. This can be rearranged to sinθ = sinϕ, which means that the angles θ and ϕ must be equal. Thus, the relationship between angles θ and ϕ is that they are equal.

The equation of equilibrium states that the sum of the forces in the x-direction must be zero.

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In summary: Sequence 1 has no term out of increasing order. Sequence 2 has the first term out of increasing order at position 2. Sequence 3 has the first term out of increasing order at position 7. Sequence 4 has the first term out of increasing order at position 4. Sequence 5 has the first term out of increasing order at position 3.

1 5 78 99 101 202 400: This sequence is in increasing order throughout, so there is no term that breaks the increasing pattern.

5 2 7 90 85 80 72: The sequence starts with 5, then decreases to 2 (out of increasing order) at position 2.

5 6 9 10 14 21 20: The sequence is increasing until position 6, where it reaches 21. However, the next term, 20, is lower than the previous term, 21 (out of increasing order) at position 7.

3 7 10 9 8 14 17: The sequence starts with 3 and increases until position 3 (10). However, at position 4, the next term, 9, is lower than the previous term, 10 (out of increasing order).

5 77 25 45 22 94 58 99: The sequence is increasing until position 2, where it reaches 77. However, at position 3, the next term, 25, is lower than the previous term, 77 (out of increasing order).

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Answer:

750 cm (7.5m)is the biggest then its 7m(700 cm) then 77cm(0.77m)and then 0.7m(70 cm)

HOPE THIS HELPS YOU

we have the equation

the equation in slope-intercept form is

y=mx+b

so

Isolate the variable y in the given equation

step 1

subtract x both sides

step 2

Multiply by -3 both sides

Answer: 4. No, not Similar

Step-by-step explanation:

<QSR = 62

because of vertical angles

we have 3 different angles and no sides

Answer:

y=35 x=145

Step-by-step explanation:

y is equivalent to 35

180-35=145

Answer:

x = 145

y = 35

Step-by-step explanation:

x and the 35 degree angle are supplementary angles, so x + 35 = 180.

solve for x, x = 145. the 35-degree angle and angle Y are corresponding angles, so the value of y will be 35.

We get: v - h + k - s = Ce^(-s/2) or y - x - (h - k) = Ce^(-(x-h-s)/2).

This is the general solution to the original differential equation, in terms of h, k, and C.

To solve the differential equation

dy/dx = (x-y-1)/(x+y+1)

       dy/dx = dv/ds + k

       x - y - 1 = h + s - v - k - 1 = s - v + (h - k - 1)

        x + y + 1 = h + s + v + k + 1 = s + v + (h + k + 1)

        dv/ds + k = [(h + s - v - k - 1) - (s - v + (h - k - 1))] / [(h + s + v + k + 1) -

        (s + v + (h + k + 1))]

       dv/ds + k = [(2h - 2k - 2)s - 2v] / [-2]

       or

       dv/ds = (v - h + k - s) / 2

        dv/ds = du/ds

        and the equation becomes:

        du/ds = -u/2

        v - h + k - s = Ce^(-s/2)

        or

        y - x - (h - k) = Ce^(-(x-h-s)/2)

This is the general solution to the original differential equation, in terms of h, k, and C.

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MOD(-2a a+b c+a) = 4[a+b][b+c][c+a] is an identity that holds true for all values of a, b, and c.

To show that MOD(-2a a+b c+a) = 4[a+b][b+c][c+a], we will simplify the expression

First, let's expand the expression on the left side of the equation:

MOD(-2a a+b c+a) = MOD(-\(2a^2\) - 2ab + ac + aa + bc + ca)

Now, let's simplify the expression further by grouping the terms:

MOD(-\(2a^2\) - 2ab + ac + aa + bc + ca) = MOD(\(a^2\) + 2ab + ac + bc + ca)

Next, let's factor out the common terms from each group:

MOD(\(a^2\) + 2ab + ac + bc + ca) = MOD(a(a + 2b + c) + c(a + b))

Now, let's expand the expression on the right side of the equation:

4[a+b][b+c][c+a] = 4(a + b)(b + c)(c + a)

Expanding further:

4(a + b)(b + c)(c + a) = 4(ab + ac + \(b^2\) + bc + ac + \(c^2\) + ab + bc + \(a^2\))

Simplifying:

4(ab + ac + \(b^2\) + bc + ac +\(c^2\) + ab + bc + \(a^2\)) = 4(\(a^2\) + 2ab + ac + bc + ca)

We can see that the expanded expression on the right side is equal to the expression we obtained earlier for the left side.

Therefore, MOD(-2a a+b c+a) = 4[a+b][b+c][c+a].

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To determine the number of days Jack can water his flowers before he runs out of water, we will divide the total amount of water by the amount he uses each day. we can say that Jack can water his flowers for 6 and 2/13 days before he runs out.

Step 1: Convert the mixed number to an improper fraction:

\(1\frac{5}{8}\)

= \(\frac{(1*8)+5}{8}\)

= \(\frac{13}{8}$$\)

Step 2: Write the division equation using the total amount of water and the amount used each day. Let d represent the number of days.

\(\frac{10}{\frac{13}{8}}\)

= d$$

Step 3: Simplify the division equation by multiplying the numerator by the reciprocal of the divisor:

\($$10 \cdot \frac{8}{13} = d$$\)

Step 4: Solve for d by simplifying the expression on the left side of the equation:

\($$d = 80 \div 13$$\)

Step 5: Divide 80 by 13 to get the number of days Jack can water his flowers:

\($$d = 6 \frac{2}{13}$$\)

Jack can water his flowers for 6 and 2/13 days before he runs out of water.

To check, multiply the number of days by the amount of water used each day:

\(6$$\frac{2}{13} \cdot \frac{13}{8} = 10$$\)

Thus, we can say that Jack can water his flowers for 6 and 2/13 days before he runs out.

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Answer:

Sarah = 3×Ross -10

11=3Ross-10

3Ross=11+10

Ross=21/3

Ross=7

Ross scored7

Answer:

Step-by-step explanation:

First Container.

Total = 7 + 2 + 6 = 15

Probility blue = 7 / 15 = 0.467

Second Container

Total = 4 + 2 +2 =  8

Probability Blue = 4/8 = 1/2 = 0.5

Answer: You are much better off drawing from the Second Container.