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seropon [69]
2 years ago
8

Solve the problem.

Mathematics
2 answers:
Snezhnost [94]2 years ago
6 0

The total cost for plumber number 1 expressed as a function of x is

c1(x)=45x+90

That is, the charge per hour times the number of hours plus the fixed charge for a visit.

Using the same pattern, write the function for the second plumber. Then set the two functions equal to each other and solve for

KIM [24]2 years ago
4 0

Answer:

what is the answer to 4 984

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Two triangles are similar.The the smaller triangle has side 10,20 and 15 units the larger triangles longest side is 52 units.Wha
Oliga [24]

Answer: The perimeter of the largest triangle = 117 units.

Step-by-step explanation:

Sides of smaller triangle = 10,20 and 15 units

Longest side = 20 units

Longest side of larger triangle = 52 units

Sides of two similar triangles are proportional.

Let k be proportionality constant.

k=\dfrac{\text{Length in larger triangle}}{\text{Length in smaller triangle}}

k=\dfrac{52}{20}\\\\\Rightarrow\ k=\dfrac{13}{5}

Length of other two sides,

10\times\dfrac{13}{5}, 15\times\dfrac{13}{5}\ i.e.\ 26\text{ units}, 39\text{ units.}

So sides of larger triangle = 52 units, 26 units , 39 units

Perimeter of largest triangle = 52 +26+39 = 117 units

Hence, the perimeter of the largest triangle = 117 units.

4 0
3 years ago
Kaylee is selling candles to raise money for her lacrosse team. The large candles sell for $25 each and the
AVprozaik [17]

Answer:25(20)+10(10)=600

X Y

Step-by-step explanation: sell 20 (X) Large candles and sell 10 (Y) small candles

3 0
3 years ago
What are the vertex focus and directrix of a parabola with equation x=y^2+14y-2
zimovet [89]
This is a sideways opening parabola, opening to the right to be more specific, since the leading coefficient is a positive 1.  The rule for a focus and a directrix is that they are the same number of units from the vertex (in other words, the vertex is dead center between them), and that the vertex is on the same axis that the focus is.  We need to find the vertex then to determine what the focus and the directrix are.  We will complete the square on that to find the vertex.  Begin by setting it equal to 0, then move the 2 over by addition to get y^2+14y=2.  Now we will complete the square on the y terms.  Take half the linear term, square it, and add it to both sides.  Our linear term is 14.  Half of 14 is 7, and 7 squared is 49. So we add 49 to both sides. y^2+14y+49=2+49, which of course simplifies to y^2+14y+49=51.  The purpose of this is to find the k coodinate of the vertex which will be revealed when we write the perfect square binomial we created during this process: (y+7)^2=51.  Moving the 51 back over by subtraction gives us (y+7)^2-51=x.  The vertex then is (-51,-7).  The formula to find the focus using this vertex is (h+ \frac{1}{4a},k).  As I stated quite a while ago, the leading coefficient on our parabola was a +1 so our "a" value is 1, and the focus is then found in (-51+ \frac{1}{4},-7) which simplifies to (-50.75, -7).  If the vertex is (-51, -7) and the focus is (-50.75, -7), then the distance between them is 1/4, or .25.  That means that the directrix is also .25 units from the vertex, but in the other direction.  Our directrix is a vertical line, and it will have the equaion x = -51.25.  Summing up, your focus is (-50.75, -7) and your directrix is x = -51.25
7 0
3 years ago
Bailey likes the shape of her friend's pool, but she wants one that is half the volume. According to Cavalieri’s Principle, what
Cerrena [4.2K]

Answer: I need a picture off the pool and measurements.

Step-by-step explanation: I need this in order to figure out the problem and give you a helpful answer.

8 0
3 years ago
Read 2 more answers
3 folders cost $2.91
WARRIOR [948]

Answer: E. None of the above

Step-by-step explanation:

The equation to solve the problem should look like...2x = $2.91 / 3

3 0
2 years ago
Read 2 more answers
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