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3 years ago

PLEASE HELPP Write the equation of the line fully simplified slope-intercept form.

Mathematics

1 answer:

Mkey [24]3 years ago

4 0

The answer will be: Y = -2/5x - 4

Slope intercept form: y= Mx+b

You find the slope (M) using: rise/run formula
You find (b) by looking at the y-intercept

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Larry's baby sister weighed 6 pounds at birth. How many ounces dos the baby weigh

Alenkinab [10]

The baby weights 96 ounces.

1 pound = 16 ounces, so do 6 x 16

8 0

3 years ago

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Which equation represents the line that passes through (-8,11) and (4, 7/2)?

Mazyrski [523]

Answer:

The equation of the line would be y = -15/24x + 6

Step-by-step explanation:

In order to find the equation of the line, you need to start by using the slope formula with the points given. This will give you the slope.

m(slope) = (y2 - y1)/(x2 - x1)

m = (11 - 7/2)/(-8 - 4)

m = (15/2)/-12

m = 15/-24

m = -15/24

Now that we have the slope, we can use that and either point to find the equation in point-slope form.

y - y1 = m(x - x1)

y - 11 = -15/24(x + 8)

y - 11 = -15/24x - 5

y = -15/24x + 6

7 0

3 years ago

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If 1+1 = x - 7 What is the value of X?

brilliants [131]

Answer:

1 cause its going to be one sometimes

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3 years ago

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Solve for x 4^x-2=256

salantis [7]

We can do this problem using two ways....
Let me show you both methods.

Method 1: "Without using logs"

$4^{x-2}=256\\\\ 4^{x-2}=4^4\ \ \ \ \ |\because 4^4 \ $is the same as 256$

Now, since both sides of the equation have same base and they equal each other, then their exponent must be equal to each other. So, we equal their exponents.

After equaling the exponents, we get,
$x - 2 = 4 \\\\ x=4+2 \\\\ \boxed{x = 6} \Leftarrow $ This is your answer!!$

Now,
Method 2: "Using Logs"

$4^{x-2}=256 \\\\ ~~~~~~~\Downarrow ~~~~~~ is\ the\ same\ thing\ as\ saying \\\\$log\ _4\ 256 =x-2 \\\\ Now,\ using\ the\ log\ property\ log_AB= \frac{log_cA}{log_cB}, \ we \ get, \\\\ \frac{log_{10}256}{log_{10}4}=x-2 \\\\ 4=x-2 \\\\ 4+2=x\\\\ 6=x \\\\ \boxed{x=6} \Leftarrow $This is your answer$

So, either way we get x= 6

8 0

3 years ago

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In 2004, the world's fastest knitter was able to knit 225 stitches in 3 min. How long would she take to knit a scarf that was 20

maw [93]

Answer: She would take 51 minutes and 12 seconds

Step-by-step explanation: The world's fastest knitter was able to achieve 225 stitches in 3 minutes. This can be broken down into stitches per minute or even per second. For every minute the number of stitches made can be derived as;

Number per minute = Total stitches / Time

Number per minute = 225/3

Number per minute = 75

Also, number per second = 75/60

Number per second = 1.25

The above calculations show that the knitter was able to make exactly 1.25 stitches per second.

She eventually knitted a scarf that was 20 cm by 120 cm (1.2 metres equals 120 centimetres). This means the scarf had a total area of

Area = L x W

Area = 120 x 20

Area = 2400

She also used yarn that resulted in 1.6 stitches per centimetre. The total area of the scarf has been derived as 2400 square centimetres. Therefore the total number of stitches used for the entire scarf is derived as;

Total stitches = Area x stitches per square cm

Total stitches = 2400 x 1.6

Total stitches = 3840

Having earlier calculated her work rate as 1.25 stitches per second, knitting 3840 stitches would take the following amount of time;

Time taken = Total Stitches / Stitch per second

Time taken = 3840/1.25

Time taken = 3072

Therefore she took 3,072 seconds. Converting this into minutes results in (60 seconds equals 1 minute)

Time in minutes = 3072/60

Time in minutes = 51.2 minutes

Also the fraction 0.2 can be converted into the appropriate unit (that is seconds) as follows;

Conversion rate = 0.2 x 60

Conversion rate = 12

Hence the fastest knitter was able to knit a scarf measuring 20 cm by 1.2 m in exactly 51 minutes and 12 seconds

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3 years ago