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3 years ago

Given that the line PQ has P(4, 1) and gradient ½, determine the equation of this line.

1 answer:

6 0

Answer: y = (1/2)x - 1

Explanation:

Point slope form:
(y1 - y) = m(x1 - x)
(1 - y) = 1/2(4 - x)
1 - y = 2 - (1/2)x
-y = (-1/2)x + 2 - 1
-y = (-1/2)x + 1
y = (1/2)x - 1

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20 Points! Which ordered pair is the best estimate for the solution of the system of equations?

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Answer:

The best estimate for the solution is the ordered pair $(-6.5,-3.5)$

Step-by-step explanation:

we have

$y=\frac{3}{2}x+6$ ------> equation A

$y=\frac{1}{4}x-2$ ------> equation B

we know that

using a graphing tool, the solution of the system of equations is the intersection point both graphs

The intersection point is $(-6.4,-3.6)$

therefore

The best estimate for the solution is the ordered pair $(-6.5,-3.5)$

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3 years ago

Caleb bought groceries and paid $1.60 in sales tax. The sales tax rate is 2.5%. What was the price of Caleb´s groceries before t

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Answer:

Let x be the price of the groceries:

x × 0.25 = 1.60

x = 1.60/0.25

x = $6.40

$6.40 - $1.60 = $4.80

Step-by-step explanation:

Hhaah! My name is Caleb lolll :)

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3 years ago

A sports trainer has monthly costs of $80 for phone service and $40 for his website and advertising. In addition he pays a $15 f

bogdanovich [222]

Answer:

Step-by-step explanation:

The average cost for the training session provided he is a sports trainer can be computed as follows:

Let's assume that;

average cost = C(x)

the no. of session = x

Then:

$C(x) = \dfrac{\text{Total cost}}{\text{no. \ of sessions}}$

$C(x) = \dfrac{\text{80 + 40 + 15x}}{\text{x}}$

$C(x) = \dfrac{\text{120+ 15x}}{\text{x}}$

Now, suppose the trainer wants the average cost C(x) to drop below $16;

Then, we have the following function:

$\dfrac{120+15x}{x}\leq C(x)$

$\dfrac{120+15x}{x}\leq16$

By cross multiply:

120 + 15x ≤ 16x

120 ≤ 16x - 15x

120 ≤ x

Therefore, the required no. of session, if the average cost should drop below $16, is 120.

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3 years ago

Convert 0.001 to a power of ten

Elenna [48]

$0.001 = 10^{-3}$

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4 years ago

Erik spends $680 for cable television service. The cable company offers a deal that promises Erik 3 free months of cable if he s

Annette [7]

So what is your question cause there isn't one

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3 years ago

Given that the line PQ has P(4, 1) and gradient ½, determine the equation of this line.​

Given that the line PQ has P(4, 1) and gradient ½, determine the equation of this line.