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3 years ago

12

Salma must choose a number between 49 and 95 that is a multiple of , 6, 9 and 18. Write all the numbers that she could choose. I

f there is more than one number, separate them with commas.

1 answer:

vichka [17]3 years ago

4 0

Answer:

54, 72, and 90

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Solve the system by graphing. Write the solution as an ordered pair. y = 1/3x + 2 y = –x – 2

Dima020 [189]

ANSWER

The solution is where the two graphs intersect, which is
$(-3,1).$

EXPLANATION

The given system of equations are
$y = \frac{1}{3} x + 2$
and

$y = - x - 2$

We need to graph the two equations.

Let us graph

$y = \frac{1}{3} x + 2$
first.

We need at least two points.

You can choose any appropriate value for x and solve for y. Choosing zero makes our working easier. So let us plot the intercepts.

When
$x = 0$

$\Rightarrow \: y = \frac{1}{3} (0) + 2$

$\Rightarrow y = 0 + 2$

$\Rightarrow y = 2$

So this gives us the ordered pair,

$(0,2)$

When
$y = 0$
we get,

$0= \frac{1}{3} x + 2$

$\Rightarrow \: - 2 = \frac{1}{3} x$

$\Rightarrow \: - 2 \times 3= x$

$\Rightarrow \: -6= x$
This also gives the ordered pair

$(-6,0).$

We plot these two points and draw a straight line through them to obtain the blue graph in the attachment.

For the second line

$y = - x - 2$

We again find the intercepts and plot them.

When
$x = 0$

$y = - 0 - 2$

$\Rightarrow \: y = - 2$

This gives the ordered pair

$(0,-2)$

Also, when
$y = 0$

then we have,

$0 = - x - 2$

$2 = - x$

$x = - 2$

Then we again have the ordered pair,

$(-2,0)$

We plot these two points on the same graph sheet to obtain the red graph above.

The intersection of the two lines is
$(-3,1)$

You will get good grades so don't worry much.

4 0

3 years ago

Which representation does NOT represent y as a function of x?

siniylev [52]

<h3>Answer: Choice C</h3>

Why isn't choice C a function? It's because we have the input x = 4 lead to more than one output at the same time (y = 5 and y = -5). A function must have all allowed inputs lead to exactly one output.

The diagram for choice C shows we have the points (4,5) and (4,-5). If we plotted those two points, then a vertical line forms, which will show this relation fails the vertical line test.

Choices A, B, and D do not have this happen where a certain input leads to multiple outputs at once; therefore, these are all functions. For the tables A and D, note there aren't any repeated x values. If you were to convert choice C into table form, then you would have the x value 4 repeat itself.

7 0

3 years ago

Read 2 more answers

Roger Hunt intends to purchase one of two car dealerships currently for sale in a certain city. Records obtained from each of th

ValentinkaMS [17]

Answer:

(a) Dahl Motors = 8 Cars

Farthington Auto Sales = 7 Cars

(b) Roger will purchase from Farthington Auto Sales with higher weekly profit

Step-by-step explanation:

Dahl Motors / Week

(1) Car Sold 5 6 7 8 9 10 11 12

(2) Probability 5% 9% 14% 24% 18% 14% 11% 5%

(3) (2 x 3 ) 0.25 0.54 0.98 1.92 1.62 1.40 1.21 0.60

(4) Average sales = 0.25 + 0.54 + 0.98 + 1.92 + 1.62 + 1.40 + 1.21+0.60

= 8.52‬ cars/ week

= 8 cars /week

Profit/ Car = $544

Total weekly profit = 544 x 8

= $4,352

Farthington Auto Sales/ Week

(1) Car Sold 5 6 7 8 9 10

(2) Probability 8% 21% 31% 24% 10% 6%

(3) (2 x 3 ) 0.40 1.26 2.17 1.92 0.9 0.6

(4) Average sales = 0.40 + 1.26 + 2.17 + 1.92 + 0.90 + 0.60

= 7.25‬ cars/ week

= 7 cars/week

Profit/ Car = $651

Total weekly profit = 651 x 7

= $4,557‬

From the calculations above , Roger will purchase from Farthington Auto Sales

3 0

3 years ago

The inside wheels of a car traveling on a circular path are rotating half as fast as the outside wheels. The front two wheels ar

barxatty [35]

Answer:

about 37.7 feet

Step-by-step explanation:

If the outside wheels are turning twice as fast, they go twice the distance in the same time. The distance they travel is proportional to the radius of the circle, so the outside circle must have twice the radius of the inside circle.

Adding 6 ft to the radius of the inside circle doubles the radius, so the inside circle's radius must be 6 feet. Then the circumference of the inside circle is ...

C = 2πr = 2π(6 ft) = 12π ft ≈ 37.7 ft

5 0

3 years ago

ANSWER THIS HURRYYYYYY

gladu [14]

Answer:

I believe its B, sorry if im wrong

Step-by-step explanation:

7 0

2 years ago