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weqwewe [10]
2 years ago
10

Pls Help! Which equation matches the given points?

Mathematics
1 answer:
ira [324]2 years ago
5 0

Answer:

  D) y = −2/5x

Step-by-step explanation:

In the equation for a line ...

  y = mx +b

the constant 'b' is the y-intercept of the line. The y-intercept is the value of y when x = 0.

The point (0, 0) tells you the y-intercept is 0, or b=0. That reduces the equation to the form ...

  y = mx

The value of m is most easily found if you have a point where x=1. In that case, ...

  y = 1m

  y = m

In the given list of points, there is one that is helpful here: (1, -0.4). That is, the equation for the given points is ...

  y = -0.4x

The answer choices are given as fractions, so you must convert -0.4 to the fraction -2/5.

  y = -2/5x . . . . describes the given points

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In a certain year, the population of Smallburg was $4{,}000.$ In the following year, the population increased by $15\%.$ What wa
makkiz [27]

Answer:

4,600

Step-by-step explanation:

To solve this problem, we need to multiply add 15% of 4,000 back to 4,000.

First, change 15% into a decimal:

15% -> \frac{15}{100} -> 0.15

Next, multiply 4,000 by 0.15:

x= 4,000(0.15)

x=600

The last step is to add the 600 back to 4,000:

4,000 + 600 = 4,600

The population of Smallburg the following year was 4,600.

5 0
2 years ago
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Zigmanuir [339]

Answer:

Point F is at -3

Step-by-step explanation:

8 0
2 years ago
2 x 9 = ?<br> and also dont you just loooooove my profile picture
Verizon [17]

Answer:

18

Step-by-step explanation:

18

2 * 9 = 18

9 + 9 = 18

5 0
3 years ago
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"Which ranges describe the cluster in the scatter plot?
Minchanka [31]
A.between 8 and 10 years of age,
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7 0
3 years ago
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Given sin(−θ)=−1/6 and tanθ=−√35/35 What is the value of cosθ?
murzikaleks [220]

Answer:

cos(\theta)=-\frac{\sqrt{35} }{6}

Step-by-step explanation:

Recall the negative angle identity for the sine function:

sin(- \theta)=-sin(\theta)  

Then, we can find the value of  sin(\theta):

sin(\theta)=-sin(-\theta)\\sin(\theta) =-(-\frac{1}{6} )\\sin(\theta)= \frac{1}{6}

Now recall the definition of the tangent function:

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

Therefore, now that we know the value of sin(\theta), we can solve in this equation for cos(\theta)

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}\\-\frac{\sqrt{35} }{35} =\frac{1/6}{cos(\theta)} \\cos(\theta)=-\frac{\frac{1}{6} }{\frac{\sqrt{35} }{35} } \\cos(\theta)=-\frac{35}{6\,\sqrt{35} } \\cos(\theta)=-\frac{\sqrt{35} }{6}

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3 years ago
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