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Leto [7]
3 years ago
14

Passes through ( 4, 7 ) slope =2​

Mathematics
2 answers:
worty [1.4K]3 years ago
7 0

Answer:

y = 2x -1

Step-by-step explanation:

y = mx + b

y = 2x + b

7 = 2(4) + b

7 = 8 + b

-8  -8

-1 = b

ahrayia [7]3 years ago
4 0

Answer:

I'm assuming it's asking for the equation of the line

y = 2x - 1

Step-by-step explanation:

Step 1:  Use the formula y = mx + b to solve

This is slope-intercept form of a line.  We are given the slope of 2 in the question, and a point (x, y), which is (4, 7).  Plug those values into the equation above and solve for b (the only variable we are missing

7 = 2(4) + b

   7 = 8 + b  

   -1 = b

Step 2: Rewrite the formula using the slope and the b value we just calculated

 y = 2x - 1

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the wheel on a bike have a diameter of 26 inches. How many full revolutions will the wheels need to make to travel 100 feet?
Rufina [12.5K]

Answer:

At least 198 chicken nuggets that measure quarter of a foot

Step-by-step explanation:

i went to mcdonalds got a s#!t ton of nuggs went to a road that no-body has driven in like 10 years and layed out 200 nuggets measured with a ruler 102 feet then drove my bike over themwith a camera recording in slow-mo looked at the tape and saw it was 32 revolutuions your welcome

5 0
3 years ago
What is the slope of the line shown below?
artcher [175]

Answer:

1

Step-by-step explanation:

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

m=(9-2)/(3-(-4))

m=7/(3+4)

m=7/7

m=1

7 0
3 years ago
Read 2 more answers
Find the intercepts.<br> . (-1,5) and (-3,-5)
Firdavs [7]

Answer:

x-intercept: (-2, 0), y-intercept: (0, 10)

Step-by-step explanation:

First, we need to find the equation of this line. The formula to find the slope is:(y1-y2)/(x1-x2). Substituting the real numbers for this formula, (5-(-5))=10, (-1-(-3)=2. 10/2=5.

This means that the slope of this line is 5.

To find the complete equation for this line, we just need to plug in the x-value and add whatever needs to be added to attain the y-value. (You can plug in any x-value/y-value available.)

5=5(-1)+?

-5+<u>10</u>=5.

The complete equation for this line is y=5x+10.

From here, the y-intercept is easy, because the number after the coefficient and variable (5 and x) are before the y-intercept (in standard form). The <em><u>y-intercept is (0, 10)</u></em> because if you plug in 0 for the x-value, you will get 10 as your y-value.

On the other hand, if you plug in 0 for your y-value and solve it out, you will get the x-intercept.

0=5x+10

-10=5x

x=-2

So the <em><u>x-intercept is (-2, 0)</u></em>.

5 0
3 years ago
The 20 tallest buildings in the world have an average height of 1,667.25 feet, with a standard deviation of 318.31 feet. The Zif
valentina_108 [34]

Answer:

Marina, Wuhan center, Zifeng Tower , Shangai Tower

Step-by-step explanation:

Using the z-scores of the Shangai tower and the Marina, we can calculate their heights

Mathematically, the z-score or standard score can be calculated as follows

Zscore =  X - μ/σ

where σ and μ represents the standard deviation and the population mean respectively.

For Shaghai Tower ;

1.27 = (X - 1667.25)/318.31

318.31 × 1.27 = X - 1667.25

404.25 = X - 1667.25

X = 1667.25 + 404.25 = 2071.50

The height of the Shaghai Tower is 2071.50 feet

For Marina, we use the same procedure;

-0.84 = (X - 1667.25)/318.31

318.31 × -0.84 = X - 1667.25

-267.38 = X - 1667.25

X = 1667.25 - 267.38 = 1399.87

The height of Marina building is 1399.87

Listing the buildings' height in ascending order we have; Marina, Wuhan center, Zifeng Tower , Shangai Tower

The reasoning behind this can be mathematically explained in terms of the z-score. The standard score of the heights of the building give us an insight as to how tall the buildings can be.

Since they are in the same population i.e building heights, the higher the z-score, the higher the height of the building. A positive z-score indicates a height taller than the average while a negative z-score indicate a height lower than the average height which is the mean

6 0
3 years ago
4. What is the unit price if 5 pounds of fruit cost $8.40?
STALIN [3.7K]
8.40$ divided by 5 = 1.68$ each pound which makes 1.68$ the unit price per pound.

Now to check the answer 1.68$ times 5 gives us a total of 8.40$
3 0
3 years ago
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