gardener will use up to 220 square feet for planting flowers and vegetables. She wants the area used for vegetables to be at least four times the area used for
flowers. Let x denote the area (in square feet) used for flowers. Let y denote the area (in square feet) used for vegetables. Shade the region corresponding to all
values of x and y that satisfy these requirements.

Answer:

The slope (m = rate of growth) for this function is 3/5. So, m= 3/5.

The y-intercept (b) for this function is located at (0,3). So, b=3.

Therefore, h(x) = 3/5x + 3

Step-by-step explanation:

Let the independent variable be x and dependent variable be y

y=h(x)

h is a linear function so it is represented in the general form of y=mx+c where

m is slope and c is the y-intercept.

Given "the dependent variable decreases 3 units for every 5 units the independent variable increases."

When x increases by 5, y decreases by 3

So the slope = rate of change of y / rate of change of x = -3/5

Given h(0)=3, h(0)=m(0)+c=3

c=3

Combining slope and y-intercept, y=-3/5*x+3

x-intercept is when y=0

0=-3/5*x+3

3/5*x=3

x=3*5/3=5

x-intercept=5

The slope of the linear function 3/5.

The y - intercept of the linear function - 3.

The x - intercept of the linear function - 5.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases.

And, g(0) = - 3

Now,

Since, A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases.

So, Slope = Rate of growth

               = - 3 / 5

Thus, The slope of the linear function - 3/5.

Hence, The general form of equation of line is,

⇒ y = mx + c

⇒ g (x) = - 3/5x + c

Since, g (0) = - 3

⇒ g (0) = - 3/5 × 0 + c

⇒ - 3 = c

Thus, The y - intercept of the linear function - 3.

Hence, We get the general form of equation of line as;

⇒ g (x) = - 3/5x - 3

For x - intercept put g (x) = 0, we get;

⇒ 0 = - 3/5x - 3

⇒ - 3/5x = 3

⇒ x = - 5

Thus, The x - intercept of the linear function - 5.

Therefore, The slope of the linear function 3/5.

The y - intercept of the linear function - 3.

The x - intercept of the linear function - 5.

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Answer:

2x + .8 = 58.9

His number, x, is 29.05

Step-by-step explanation:

2x + .8 = 58.9

2x = 58.1

x = 29.05

Answer:

100:100

Step-by-step explanation:

100 reds and 100 blues are in there

The value of 3x + 4y² when x = 5 and y = 3 is 51.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is,

3x + 4y²

We have to find the value of the expression when the value of x = 5 and that of y = 3.

For that, substitute x = 5 and y = 3 in place of x and y.

3x + 4y² = (3 × 5) + (4 × 3²)

             = 15 + (4 × 9)

             = 15 + 36

             = 51

Hence the value of the expression is 51.

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Answer:

51

Step-by-step explanation:

Answer:

She would of made $40.5 because of $81 divided between the 2 days that she worked

Answer:

B) y = kx

Step-by-step explanation:

A Proportional relationship should have an equivalent ratio

All of the answers have a pass through the origin except y = kx because k is unknown.

Answer:

[tex]y=-\frac{4}{3} x+4[/tex]

Step-by-step explanation:

Slope-intercept form is written in [tex]y=mx+b[/tex]

So, to solve, we must separate y onto one side and make its coefficient one.

[tex]4x+3y=12[/tex]

Subtract 4x on both sides.

[tex]3y=12-4x[/tex]

Divide both sides by the coefficient of [tex]y[/tex], which is 3.

[tex]\frac{3y}{3} =\frac{12-4x}{3}[/tex]

Simplify.

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

Rewrite this equation into standard form by changing the order of [tex]mx[/tex] and [tex]b[/tex]

[tex]y=-\frac{4}{3} x+4[/tex]

Answer

y=4/5 times 2/3

Step-by-step explanation:

Answer:

1) DE ≅ D′E′  

2) EC ≅ E′C′  

5) D′C′ ≅ DC  

6) ΔCDE ≅ ΔC′D′E′

Hope it helps!

Answer:

uh

Step-by-step explanation:

this is very easy go to your camera

Answer:

g(x) = 2x + 2

Step-by-step explanation:

f(x) = 6x

g(x)= 1/3*f(x) + 2

g(x) = 2x + 2

Answer:

0 and 1

Step-by-step explanation:

x² = 3

take the square root of both sides

x = {-√3, √3}

x ≈ {-1.73, 1.75}

Two consecutive integers between 1.73 and 1.75

0 and 1

Answer:

k=5

Step-by-step explanation:

The graph of g(x) is raised by 5 units so k is 5

Answer: Account A

Step-by-step explanation:

Answer:

50% of Her Original goal

Step-by-step explanation:

Answer:

m∠2 = 98°,   m∠3 = 82°

Step-by-step explanation:

I'm going to assume this is a straight angle

Supplementary angle are two angles that equal 180°

m∠2+m∠3=180°

m∠2+m∠2-16=196°

2m∠2=196°

m∠2=98°

Since we said m∠3 = m∠2 - 16°

m∠3 = 82°

Answer:

4√2

Step-by-step explanation:

as it is an isosceles 2 sides will have the same side length so 4 and 4, therefore you can use pythagoras theorem to solve for x.

do 4²+4²=32 then square root this √32 which is equal to 4√2

The two sides in the isosceles triangle will be the same thus the value of the third unequal side x will be 4√2.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

In a triangle, the sum of all three angles is 180°

Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.

As per the given isosceles triangle.

The angles opposite to equal sides in the isosceles triangle will be the same.

And, The two sides of the isosceles triangle will be the same.

Both perpendicular sides' length = 4

By Pythagoras theorem,

x = √(4² + 4²)

x = √32 = 4√2

Hence "The two sides in the isosceles triangle will be the same thus the value of the third unequal side x will be 4√2".

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Answer:

[tex]3\sqrt{2}[/tex] or [tex]\sqrt{18}[/tex]

Step-by-step explanation:

Use 45-45-90 triangle theorem

3*[tex]\sqrt{2}[/tex]

Answer:

Step-by-step explanation:

5 used cars for sale. They have a mean price of $7000

. What is the total price of all 5

cars?

We are given total number of cars = 5 cars.

The mean of all of five cars = $7000.

Note: Total sum/value could be calculated by multiplying mean with the total numbers we have.

Total price = Mean × Total number of cars.

According to problem, mean is 7000 and total number of cars is 5.

Therefore, Total price of all 5 cars = 7000 × 5 = $35000.

We are given total number of cars = 5 cars.

The mean of all of five cars = $7000.

Note: Total sum/value could be calculated by multiplying mean with the total numbers we have.

Total price = Mean × Total number of cars.

According to problem, mean is 7000 and total number of cars is 5.

Therefore, Total price of all 5 cars = 7000 × 5 = $35000.

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{3}{4}[/tex] x - 4 ← is in slope- intercept form

with slope m = [tex]\frac{3}{4}[/tex]

Parallel lines have equal slopes

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Here (a, b ) = (- 1, 7 ) , then

y - 7 = [tex]\frac{3}{4}[/tex] (x - (- 1) ) , that is

y - 7 = [tex]\frac{3}{4}[/tex] (x + 1) → A

Answer:

Step-by-step explanation:

22/25, 6, 6.21, 137/20, 6.885

Answer:

0 us the answer for this question

Answer:

b. y=1/2x-2

Step-by-step explanation:

We can determine b by looking at the y intercept, which, in this case is (0,-2). Now we know that b is -2. To find the slope, we need to look a rise over run which is 1/2 here (1 up, 2 right). So, our final answer is y=1/2x-2

Rule for function

If Domains of relation have unique Range then it's function otherwise not a function.

Now

Answer:

7%

Step-by-step explanation:

$0.49        ?

.........................................

Answer:

I think the better one is $1.49

Step-by-step explanation:

That's just my opinion