A florist charges $25 for a vase plus $4.50 for each flower. The total charge for the vase and flowers is given by the function f(x) = 4.50x + 25. How will the graph change if the vase’s cost is raised to $35? if the charge per flower is lowered to $3.00?

Answers

Answer 1
Part 1
All that’s being affected here is the b value in y=mx+b, so your line will just move up to have a y-intercept at (0,35) the equation will be y=4.5x+35

Part 2
Here the m value is being changed so your line will just flatten out a bit and the new equation will be y=3x+25

Hope this helps!
Answer 2

a) The graph change if the vase’s cost is raised to $35  is the line

[tex]y=4.5x+35[/tex]

b)The charge per flower is lowered to $3.00 is the line

[tex]y=3x+25[/tex]

We have given that the function

[tex]f(x) = 4.50x + 25[/tex]

A florist charges $25

Now we have given condition the cost is raised to 35$

We use we use the slope intercept form

What is the slope intercept form?

[tex]y=mx+C[/tex]

y is function f(x) C=vase cost, and m= charge per flower

Therefore we get,

[tex]y=f(x),m=4.50 and c=25[/tex]

we have given condition C=35$

So  the  line will just move up to have a y-intercept at (0,35) the equation will be,

[tex]y=4.5x+35[/tex]

Therefore,

The graph change if the vase’s cost is raised to $35  is the line

[tex]y=4.5x+35[/tex]

We have given that the charge per flower is lowered to 3$

So the slope

[tex]m=3[/tex]

Here the m value is being changed so your line will just flatten out a bit and the new equation will be

[tex]y=3x+25[/tex]

The charge per flower is lowered to $3.00 is the line

[tex]y=3x+25[/tex]

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What is simplification?

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Step-by-step explanation:

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Answers

Answer:

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[tex]y + 1 = \frac{8}{9} (x + 4) \\ [/tex]

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Thus the correct answer is the second one.

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The first four terms of a sequence are 16, 22, 28, 34, …
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D)10 + 6n

Answers

Answer:

A.)

Step-by-step explanation:

I feel like it's A.) because the number sequence above continues to go on due to addition of 6 to each number. And now you are adding 6 to 10n because as stated before your supposed to add 6 to each number to get the answer in the sequence.

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Step-by-step explanation:

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Answer:

When we have a quadratic equation:

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There is something called the determinant, and this is:

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If D < 0, then the we will have complex solutions.

In our case, we have

5*x^2 - 10*x + c = 0

Then the determinant is:

D = (-10)^2 - 4*5*c = 100 - 4*5*c

And we want this to be smaller than zero, then let's find the value of c such that the determinant is exactly zero:

D = 0 = 100 - 4*5*c

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c > 5.

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Answers

Answer:

6 : 12

Step-by-step explanation:

sum the parts of the ratio, 1 + 2 = 3 parts

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The number 18 splitted into a ratio of 1 : 2 is 12 and 6.

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A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Slitting in the ratio 1 : 2 can be done in this manner,

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Answers

Answer:

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Using the information below, work out how much Lila paid for the chainsaw.

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Answers

Answer:

296

Step-by-step explanation:

There are 5 days where the fee was $37 and 2 days where the fee was $42

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Answers

Answer:

[tex]Sides= 7\ units[/tex]

Step-by-step explanation:

Given

[tex]Sides= 7\ units[/tex]

[tex]Translation = 3\ units[/tex] (to the right)

Required

Determine the length of one side after translation

It should be noted that when a shape, line, object is being translated by shifting its position, only the position of the shape, line or object changes not its length

This implies that, the length of the sides of the equilateral triangle remain unchanged.

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[tex]Sides= 7\ units[/tex]

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To simplify means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. By eliminating all common factors from the numerator and denominator and putting the fraction in its simplest/lowest form, we can simplify fractions.

Given equation

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