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3 years ago

7. The graphed lines represent the linear equations y=2x+1 and y = 2x-4.

Mathematics

1 answer:

Mariana [72]3 years ago

4 0

Answer:

Step-by-step explanation:

If we set up an equation, we get:

2x+1 = 2x-4

We subtract 2x from both sides and get:

1 = -4

That is FALSE, so that means there are NO solutions

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Is the function shown in the graph one-to-one?

Nimfa-mama [501]

Yes, there exists one input for every output.

7 0

2 years ago

This pattern follows the rule divide by 3. What is the next number in the pattern?

Ghella [55]

Answer:

Step-by-step explanation:

Divde 48/ 3 = 16

because 16 · 3 = 48

3 0

2 years ago

Read 2 more answers

6. Find cos C using the triangle below. Answers may be in decimal OR fraction form.

oee [108]

Cosine = adjacent/hypothenuse
Adjacent = angle between the right angle and C
Adjacent = 21
Hypothenuse = longest side
Hypothenuse = 35

Solution: 21/35

6 0

2 years ago

Nadia finds out that her favorite horse family population is increasing at a constant rate. The horse family was at 24 in 2011 a

Dahasolnce [82]

$\begin{gathered} y-24=\frac{8}{3}(x-2011) \\ \text{There will be 48 horses in 2020 (option A)} \end{gathered}$ Explanation:

The initial number of horses = 24

year = 2011

Coordinates (2011, 24)

when the number of horses became 32, year was 2014

Coordinates (2014, 32)

We find the slope = rate of change

slope = change in number of horses/change in number of years

slope = (32-24)/(2014-2011)

slope = 8/3

The point slope formula:

$\begin{gathered} y-y_1=m(x-x_1) \\ U\sin gpoint\colon x_1=2011,y_1=24 \end{gathered}$ $y-24=\frac{8}{3}(x-2011)$

The number of horses in year 2020

using points: (2011, 24) and (2020, y), we equate with the slope since it is constant for any two points on this model.

8/3 = (y - 24)/(2020 - 2011)

8/3 = (y - 24)/9

cross multiply:

8(9) = 3(y - 24)

72 = 3y - 72

72 + 72 = 3y

144 = 3y

144/3 = 3y/3

y = 48

Hence, there will be 48horses in 2020 (option A)

4 0

7 months ago

Mark cast a shadow that is 4 feet long. At the same time, a nearby tree casts a shadow that is 20 feet long. If mark is 6 feet t

Trava [24]

Answer:

30 ft

Step-by-step explanation:

We can use the given information to set up a ratio...

$\frac{Mark's\ height}{Mark's\ shadow}=\frac{Tree's\ height}{Tree's\ shadow}$

$\frac{6\ ft}{4\ ft}=\frac{x}{20\ ft}$

We can solve this ratio using cross multiplication (multiply the numerator of the first fraction by the denominator of the second and the numerator of the second fraction by the denominator of the first):

120 = 4x

Divide both sides by 4

x=30 ft

5 0

2 years ago