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PolarNik [594]
3 years ago
13

Determine the x- and y- intercepts for the graph defined by the given equation. y = 7x + 3 a. x-intercept is ( 3, 0) y-intercept

is (0, negative StartFraction 3 Over 7 EndFraction) c. x-intercept is (0, negative StartFraction 3 Over 7 EndFraction) y-intercept is ( 3, 0) b. x-intercept is (negative StartFraction 3 Over 7 EndFraction, 0) y-intercept is (0, 3) d. x-intercept is (3, 0) y-intercept is (negative StartFraction 3 Over 7 EndFraction, 0)
Mathematics
1 answer:
worty [1.4K]3 years ago
7 0

Answer:

x-intercept is (-3/7, 0) and the y-intercept is at (0, 3)

Step-by-step explanation:

Given the function y = 7x + 3

The x-intercept occurs at y = 0. Substituting y = 0 into the expression, we will have:

0 = 7x + 3

7x + 3 = 0

7x = -3

x = -3/7

Similarly, the y-intercept occurs at x = 0. Substituting x = 0 into the expression, we will have:

y = 7(0) + 3

y = 0 + 3

y = 3

Hence the x-intercept is (-3/7, 0) and the y-intercept is at (0, 3)

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Thirty Mercedes and Audi participated in a 30 mile race. The average driving speed of the Mercedes and Audi were recorded. A ran
vladimir1956 [14]

Answer:

Median for sample 1 = 142

Median for sample 2 = 134

Step-by-step explanation:

For Sample 1:

For finding median, the data is first arranged into ascending or descending order. We are arranging the data in ascending order.

120, 130, 132, 136, 139, 142, 142, 144, 156, 165, 167

The formula for calculating the term which will be median is:

Median= ((n+1)/2)

Here in sample 1, n=11

So, putting n=11 in the formula

= ((11+1)/2)

= (12/2)

=6th term

The sixth term is 142, so

Median of sample 1=142

For Sample 2:

For finding median, the data is first arranged into ascending or descending order. We are arranging the data in ascending order.

112, 112, 113, 114, 125, 134, 141, 145, 146, 163, 165

The formula for calculating the term which will be median is:

Median= ((n+1)/2)

Here in sample 2, n=11

So, putting n=11 in the formula

=((11+1)/2)

=(12/2)

=6th term

The sixth term is 134, so

Median of sample 2=134

7 0
3 years ago
What is the volume of the box below?
kondor19780726 [428]
It would be 8 3/4 because you multiply all 3 numbers by each other
8 0
3 years ago
A train travels from station A to C having distance of 285 miles in 6 hours. During the journey, it reaches intermediate station
Nesterboy [21]

Answer:

Distance between B and C = 3\times 55=165miles

Step-by-step explanation:

Let the time taken to reach from station A to B be x  hr

Let the time taken to reach from station B to C be y  hr

Given total time from station A to C be 6 hr

∴ x + y = 6

⇒ y = 6 - x → (1)

Also total distance given is 285 miles

As Distance=Speed\times Time

∴ distance travelled between station A and B

  =40\times xmiles

distance travelled between station B and station C

  =55\times ymiles

So, 40x + 55y = 285  

⇒ 40x + 55(6 -x) = 285     (From 1)

=> 40x + 330 - 55x = 285

=> -15x = 285 - 330

=> -15x = -45  ⇒ x=3

gives y = 6-3 = 3 hours


Distance between B and C = 3\times 55=165miles

5 0
3 years ago
How do I subtract fractions​
sesenic [268]
To perform the correct operation as to subtract numbers, make sure the denominators are the same, and then one can then subtract and remove a smaller number from the larger one.

This same method also holds true for adding fractions together as well.

Another way to subtract fractions is to convert them from fraction form to decimal form and then align the decimal points and subtract the values.
3 0
3 years ago
An alloy of copper is 10% copper and weighs 25 pounds. A second alloy is 18% copper. How much (to the nearest tenth lb.) of the
Alisiya [41]
  let  the weight  of the  second  alloy  be  y
convert the  percentage  to  fraction, that  is  10/100=0.1,  18/100=0.18,  13/100=0.13
 Total weight  if  the  mixture is  0.1  x 25+0.18y=0.13(25+y)
2.5+0.18y=3.25+0.13y
  like  terms  together
0.18y +0.13y =  3.25-2.5
 0.05y=0.75
divide both  side  by  0.05
 Y  is  therefore  15 pound  of 18%  copper is needed
4 0
3 years ago
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