write an equation in slope intercept form that describes a line that has a y-intercept of 4 and a slope of 3

Answer:

[tex]6\frac{3}{5}[/tex]

Step-by-step explanation:

[tex]8 \div 5 = 1\frac{3}{5} \\\\1\frac{3}{5} + 7 = 8\frac{3}{5}\\\\8\frac{3}{5} - 2 = 6\frac{3}{5}[/tex]

The equation of the required line parallel to the given line is y = -x - 10.

Slope can be defined as the rate of change.

According to the given question we have to write an equation of a line parallel to the line y = - x - 1 that goes through the point (-2,-8).

We know that lines are parallel because of the same slope they have.

So, the required line also have a slope(m) = -1.

∴ The equation of the required line in slope intercept form can be written as y = mx + b.

Putting the value of given points (-2, -8) in (x,y) t evaluate y intercept b.

So, - 8 = (-1)(-2) + b.

- 8 = 2 + b.

b = -10.

∴The equation of the required line in slope intercept form is  y = -x -10.

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Answer:

170 minutes

Step-by-step explanation:

So if there was two 45 min work outs in a week and she left those 10 mins early that was two 35 min work outs and then there was 4, 30min work outs and she left those 5 mins early so 4, 25min workouts so its 35+35+25+25+25+25.

Every conditional has two parts they are hypothesis and conclusion.

The hypothesis is the first part of a conditional statement 'if' and conclusion is the last part of a conditional statement 'then'

According to the given statement every conditional has two parts a hypothesis and a conclusion.

Conditional starts with if and ends with then.It is used to express possible situations.

For example-: if the two angles are complementary then their sum is 90°.

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Answer:

Solution on screen

Step-by-step explanation:

Don't worry it's okay

Answer: w = -32

Step-by-step explanation:

Start isolating the variable by getting rid of 3/4. You can do this by multiplying by its reciprocal.

That leaves us with 3/4 times -27

The product is -32.

Hope this helps!

The expression given tests on indices. The expression can be written in index form as a^m. Thus, b√a =  a^(1/b) From the power rule of indices, a^m x a^n = a^(m+n).

√11(4√11)

11^1/2 ( 11^1/4)

11 ^(1/2+1/4)

11^3/4

4√11^3

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Answer:

It can be said that Dana is correct when she says that 0.6 divided by 30 gives 0.02 as a reminder.

Step-by-step explanation:

It is given that we need to rectify whether 0.6 divided by 30 = 0.02 or not.

Firstly, let us understand how does simplification work;

In mathematics, the operation and interpretation of a function to make it simple or easier to grasp is known as simplifying, and the process is known as simplification.

Now, let us understand what exactly is arithmetic;

According to the assertions, it deals with a number of operations in mathematics. Addition, subtraction, multiplication, and division are the four main arithmetic operators.

Now, let us equate the given condition that is;

=> 0.6 can also be expressed as 6/10

Now, let us divide the above numbers with each other as given in the question;

=> (6/10) ÷ 30

=> 6/300

On dividing both the numbers with each other we get;

=> 0.02 which can be expressed as 2/100

Therefore, it can be said that Dana is correct when she says that 0.6 divided by 30 gives 0.02 as a reminder.

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Answer:

Step-by-step explanation:

A) The roots of the graph f(x) are;  x = -2 and x = -1

B) The value of the function at f(0) is; 2

a) We want to find f(0) of the graph.

Now, f(0) simply refers to the y-values when x = 0.

This is the point at which the graph crosses the y-axis

From the graph we can see that the value here is 2. Thus;

f(0) = 2

b) To find the roots of f(x) , we simply find the points at which the plot crosses the x-axis.

From the graph, the roots are at x = -2 and x = -1

Thus, the roots of the equation are x = -2 and x = -1

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Answer:

$37.96

Step-by-step explanation:

$9.49 x 4 = $37.96

Answer:

x = 0

Step-by-step explanation:

x + 2 - 0.5x = 1 + 0.5x +1

    2 - 0.5x = 2 + 0.5x

-0.5 - 0.5x = 2 - 2

          -1x = 0

      -1x/-1 = 0/-1

            x = 0

Answer:

Step-by-step explanation:

Solve X + 2 - 0.5 x = 1 + 0.5 x + 1 : The answer is: X = 2X

Considering the definition of an inequality, the inequality 5 + 2.75×S ≤21 describes the scenario.

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

In this case, you know that:

Being "S" the number of stops that Julia buys, the inequality that expresses the previous relationship is

5 + 2.75×S ≤21

Finally, the inequality 5 + 2.75×S ≤21 describes the scenario.

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Answer: $684

Step-by-step explanation: Add 300 to 75 and you have 375, next subtract the total payment she wants to have per week (which is 1059) so, subtract 1059 to 375 then you have $684. To check your answer, add 684 to 375 and you come up with 1059.

Answer:

2 2/4 because i just know the answer

Answer:

270

Step-by-step explanation:

(∛9)³ × (√30)²

9 × 30 = 270

I hope this helps!

Answer:

Answer:

270

Step-by-step explanation:

(∛9)³ × (√30)²

9 × 30 = 270

Step-by-step explanation:

The graph of the inequality expressions is added as an attachment

Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal

The inequality expressions are given as

y ≥ 2

x + y ≤ 4

y ≤ 2x + 2

Next, we interpret each inequality expression

First expression: y ≥ 2

The inequality symbol in the above inequality expression is ≥

This implies that the inequality expression is a greater than or equal to

When an inequality expression has a sign of equal to, then the line of the inequality graph will be a solid line

Also, the inequality symbol implies that the upper part is shaded

Second expression: x + y ≤ 4

The inequality symbol in the above inequality expression is ≤

This implies that the inequality expression is a less than or equal to

When an inequality expression has a sign of equal to, then the line of the inequality graph will be a solid line

Also, the inequality symbol implies that the bottom part is shaded

Third expression: y ≤ 2x + 2

The inequality symbol in the above inequality expression is ≤

This implies that the inequality expression is a less than or equal to and the inequality symbol implies that the bottom part is shaded

See attachment for the graph of the inequality expressions

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=======================================================

Explanation:

The given equation is in the form of ax^2+bx+c = 0

The coefficients are

According to Vieta's formula, we know that the roots of a quadratic multiply to c/a

In this case, the roots multiply to -3/2

Let p and q be the two roots. We're told that -3 is one of the roots, so p = -3. Let's find q.

pq = c/a

-3q = -3/2

q = (-3/2)*(-3/1)

q = 1/2

q = 0.5

The other root is 0.5

The product of the roots is -3*0.5 = -1.5 = -3/2 to confirm the answer.

-------------

The longer way to solve would be to plug x = -3 into the equation and solve for k. You should get k = 5

Once you know the value of k, use the quadratic formula to find the two roots. You should get -3 and 1/2 = 0.5 as the two roots.

12

Step-by-step explanation:

n + (2/3)n = 2n - 4

(5/3)n = 2n - 4

(5/3)n - 2n = -4

(-1/3)n = -4

n = 12

Answer:

D.

Step-by-step explanation:

x=2 1/3

That is the answer

The page they will be on is 225.

The page that both Juan and Houa would be on at the end of the month is a function of the page they are at the beginning of the month and the page they read per day.

Pages they are in t days:

J = 45 + 15t

H = 9 + 18t

When they are on the same page, both equations would be equal

45 + 15t = 9 + 18t

45 - 9 = 18t - 15t

36 = 3t

t = 36 / 3

t = 12

Page they would be in 12 days: 45 + 15(12)

45 + 180 = 225

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The real square root of the number 0.49 is 0.7

0.49 can also be presented as, 49* [tex]10^{-4}[/tex]

The square root of   49* [tex]10^{-2}[/tex]

= [tex]\sqrt{49}[/tex] * [tex]\sqrt{10} ^{-2}[/tex]

= 7 * [tex]10^{-2}[/tex]

=0.7

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Answer:

3g=x-2

Step-by-step explanation:

3g+2=x then, move 2 to the other side(nb*change to negative) then it will be 3g=x-2 finally divide both sides by 3 then it will be g=x-2

3

The value of logarithm as the quotient of two common logarithms is [tex]\frac{Log 140}{Log5}[/tex]. Because [tex]Log_{a}(b)=Log\frac{b}{a}[/tex]

The logarithm is exponentiation's opposite function in mathematics. This means that the exponent to which a fixed number, base b, must be raised in order to produce a given number x, is represented by the logarithm of that number.

Based on the logarithm base, the logarithmic functions are broadly divided into two types. There are common and natural logarithms. Common logarithms are based on the number 10, while natural logarithms are based on the base "e." The power to which a number must be raised in order to obtain another number is known as a logarithm (see Section 3 of this Math Review for more about exponents).

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Answer:

10 2/5 inches

Step-by-step explanation:

Since P=2L+2W, we can flip it to find the length. For example, we could minus 2L from both sides to get P-2L=2W.

We already know that W is 4.5, and P is 29.4.

Plugging that in, we get 29.4-2L=9. Again we can flip the perimeter, and -29.4 on both sides. This would make -2L=-20.4.

For our last flip, we divide the -2 from both sides to finally get L=10.2 (or 10 1/5 if you want) inches.

The ratios of y/x are the same for the graph of y = -4x and y = -4x + 2 because they both represent parallel lines.

Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

In Geometry, two (2) lines are considered to be parallel if their slopes are the same (equal) and they've different y-intercepts. This ultimately implies that, two (2) lines are parallel under the following conditions:

m₁ = m₂

Note: m is the slope and it is given by this mathematical expression, slope, m = Δy/Δx.

In this context, we can reasonably infer and logically deduce that the ratios of y/x are the same for the graph of y = -4x and y = -4x + 2 because they both represent parallel lines.

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Tim needs 40ft fencing.

For fencing the square garden we need to ascertain perimeter of the square.

Perimeter of plot = 2*(a+b)

Where a = length of the plot

b=width of plot

length =12ft

width=8ft

Perimeter of plot = 2*(a+b) = 2*(12+8)ft=40ft

He needs 40ft fencing.

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The equation representing the future value of the collection is given by V=390(1.03)³ as the value appreciates by 3%.

When a value appreciates at a certain percentage means the value of the collection increases by that percentage each year.

The equation that represents such an appreciation is in the form of an exponential equation.

The general equation for calculating future value with appreciation is:

[tex]V = P (1 + r)^n[/tex]  where

V = Future value

P = Present value

r = appreciation rate

n = number of years

Given P = $390 , r= 3%=0.03 , n = 3

Now we substitute the given values in the equation to get:

V=390(1+0.03)³

or, V= 390(1.03)³

or, V= 426.16 dollars approximately .

Hence the required equation is V= 390(1.03)³ .

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Answer:

0

Step-by-step explanation:

Because there is no question only