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timama [110]
2 years ago
9

A line has a slope of -3 and y-intercept of 2.

Mathematics
1 answer:
Pie2 years ago
5 0

AnswA line can be written in the form y = mx + b where m is the slope and b is the y intercept.

Since the slope is given as 4, the equation will be y = 4x + b

Plugging in the point (2,1) to the equation we get 1 = 4(2) + b or 1 = b + 8

Solving for b gives b = -7 so the equation will be y = 4x - 7er:

Step-by-step explanation:

You might be interested in
2.
Jet001 [13]

Answer:

119.2

Step-by-step explanation:

Given the following :

Mean (m) = 100 years

Standard deviation (sd) = 15 years

closest to the age of a Galápagos Islands giant tortoise at the 90th percentile of the

distribution?

Obtain the Zscore for 90th percentile (0.90) on the z table = 1.28

Zscore = (X - mean) / standard deviation

1.28 = (X - 100) / 15

1.28 × 15 = X - 100

19.2 = X - 100

19.2 + 100 = X

X = 119.2

3 0
3 years ago
The resting heart rate of an adult is usually about 60 beats per minute. Use your completed table to find approximately how many
Dvinal [7]
60x=1,000,000
----- ---------------
60 60
X=16,666 2/3 or
X=16,666.6667 it would take approximately 16,667 minutes for the average resting heart to beat 1,000,000 times.
3 0
3 years ago
A group of engineers is building a parabolic satellite dish whose shape will be formed by rotating the curve y=ax 2 about the y-
Setler79 [48]

Answer:

a = \frac{1}{2}. Surface Area = \frac{4}{3}ft^{2}. and area of the Dish = \frac{4}{3}ft^{2}+pi4^{2} = \frac{4}{3}ft^{2}+50.27=51.6ft^{2}

Step-by-step explanation:

(1) Constant. y(x) = ax^{2} that is the curve that we need to rotate around the y axis to get the parabola with diameter of 8 feet and 2 meter depth that statement is translated in mathematics as x = -4 to 4 and y = 0 to 2.

y max = 2, x max = 4 setting up a equation with a unknown gives

2=a4 and  a = \frac{1}{2}.

so we have now.

y(x) = \frac{1}{2}x^{2} (Done with solving for a Constant).

(2) Surface Area.

Setting Up surface integral.

(i) range in x = 0 to 4.

(ii) range in y = 0 to 2.

integral is.

Integral(0-2)[{integral[(0-4)\frac{1}{32}x^{2}]}]dy

Evaluating this integral gives. \frac{4}{3}ft^{2}.

and area is surface area + area of the circle with 8ft diameter.

= \frac{4}{3}ft^{2}+pi4^{2} = \frac{4}{3}ft^{2}+50.27=51.6ft^{2}...

Note the Difference between area and aurface area.!

6 0
3 years ago
A set of data is given: 3,7,11,11,16. Sue calculated a center of measure and got 9.6. Which center of measure did she calculate.
QveST [7]

Answer: Average or Mean

Step-by-step explanation:

The center of measure calculated was the average or mean. To get the mean of a set of numbers, we have to add all the numbers given and then divide them by the numbers.

In this case, the mean of 3,7,11,11,16 will be:

= (3 + 7 + 11 + 11 + 16) / 5

= 48/5

= 9.6

5 0
3 years ago
Answer....... (-1)^3×(-1)^2
8090 [49]
Hello there!

(-1)^3 * (-1)^2

Use the distributive property

= (-1)(-1)(-1)* (-1)(-1)

= (-1)^5

= -1


I hope this helps!
3 0
3 years ago
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