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3 years ago

Steve is analyzing two linear functions, f(x) and g(x). Will they intersect?

1 answer:

6 0

We get for x=2, f(2)=3, (f(x)=x+1) and g(2)=3, that means that they intersect at the moint M(3,3), so the answer is
(a)Yes, at a point with a positive x-coordinate

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Explain how solve 4^(x+3) = 7 using the change of base formula log base b of y equals log y over log b. Include the solution for

MaRussiya [10]

Answer:

-1.596

Step-by-step explanation:

Apply log base 4 both sides

log4(4^(x+3)) = log4(7)

(x+3)log4(4) = lg7/lg4

x+3 = 1.403677461

x = -1.596322539

4 0

3 years ago

A standard working day is 8 hours, if you were to work 125% of a normal day, how many total hours would you work?

Elodia [21]

Answer:

10 hours

Step-by-step explanation:

It is given that,

Standard working day is 8 hours

If you were to work 125% of a normal day, then it means that,

$125\%\ \text{of}\ 8\ \text{hours}\\\\=\dfrac{125}{100}\times 8\\\\=10\ \text{hours}$

Hence, you will work for 10 hours.

3 0

3 years ago

A small furniture company manufac- tures sofas and recliners. Each sofa requires 8 hours of labor and $180 in materials, while a

Bad White [126]

Answer:

30 and 20 respectively

Step-by-step explanation:

Let the number of sofas to be built be s and the number of recliners be r.

For the time part, we have the following equation:

8s + 6r = 340

For the money part:

180s + 105r = 6750

Now let’s solve these equations simultaneously.

Let’s change the form of the second equation:

180s + 17.5(6r) = 6750

From the first equation, 6r = 340 - 8s

Insert this into the third equation

180s + 17.5(340-8s) = 6750

180s + 5950 - 140s = 6750

40s = 6750 - 5950

40s = 800

s = 20

Substitute the value into the first equation

8(20) + 6r = 340

6r + 160 = 340

6r = 180

r = 30

4 0

3 years ago

Find the slope between each pair of points. (10, 0) and (-2, 4)

Alex787 [66]

M=-1/3
that is the answer

5 0

3 years ago

Read 2 more answers

Assume that the sales of a certain appliance dealer can be approximaed y sraig were $6000 in 1982 and $ 64,000 in 1987. Let x -

viktelen [127]

Answer:

$y=11,600x+6,000$

Yearly sales in 1990: $98,800.

Step-by-step explanation:

We have been given that the sales of a certain appliance dealer can be approximated by a straight line. Sales were $6000 in 1982 and $ 64,000 in 1987.

If at 1982, $x=0$ then at 1987 x will be 5.