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miskamm [114]
3 years ago
9

The line represented by the equation y=−4x +2 intercepts the y-axis __________ the x-axis. Question 2 options: above below on wi

th
Mathematics
1 answer:
Zinaida [17]3 years ago
5 0

The line intercepts the y-axis at 2 ⇒ (0 , 2)

The line intercepts the x-axis at 0.5 ⇒ (0.5 , 0)

Step-by-step explanation:

If a line intersects the x-axis at point (a , 0), then the x-intercept is "a"

If a line intersects the y-axis at point (0 , b), then the y-intercept is "b"

To find the intercepts of the axes:

  • To find the x-intercept substitute y by 0
  • To find the y-intercept substitute x by 0

∵ The line represented by the equation y = -4 x + 2

- To find y-intercept substitute x by 0

∵ x = 0

∴ y = -4 (0) + 2

∴ y = 0 + 2

∴ y = 2

∴ The y-intercept is 2

The line intercepts the y-axis at 2 ⇒ (0 , 2)

- To find x-intercept substitute y by 0

∵ y = 0

∴ 0 = -4 x + 2

- Add 4 x to both sides

∴ 4 x = 2

- Divide both sides by 4

∴ x = 0.5

∴ The x-intercept is 0.5

The line intercepts the x-axis at 0.5 ⇒ (0.5 , 0)

Learn more:

You can learn more about y-intercept in brainly.com/question/4932386

#LearnwithBrainly

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Marat540 [252]
There are 3 puppies that are male

2 puppies that are white females

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The probability that a puppy will be male, white or both is 2/7

hope this helps!
7 0
3 years ago
The length of a river is 480 km. What is its length on a map with a scale 1:5,000,000?
Greeley [361]

Answer:

The length of the river on a map is 9.6\ cm

Step-by-step explanation:

we know that

The scale of the map is 1:5,000,000

That means

1 cm on a map is 5,000,000 cm on the actual

or

1 cm on a map is 50 km cm on the actual

so

using proportion

\frac{1}{50}\frac{cm}{km}=\frac{x}{480}\frac{cm}{km}\\ \\x=480/50\\ \\x=9.6\ cm

6 0
4 years ago
Read 2 more answers
PLEASE HELP! Thank you so much, I’m just a little confused.
Whitepunk [10]

The domain is the values of x from the x-axis that 'cover' the given function.

Look at the end points of the graph and the corresponding values of x on the x-axis. These go from - 5 to 4

Thus the domain is x ∈ [- 5, 4 ] ← domain

The square bracket indicates that the values of - 5 and 4 are included in the domain

Whereas (- 5, 4 ) indicates that - 5 and 4 are not included but all values in between are

The range is the values of y from the y-axis that cover the given function

Look at the minimum value and maximum value of the function along the y-axis

The minimum is 0 and the maximum is 5

range is y ∈ [0, 5 ]

To determine the value of y when x = -3

Locate x = - 3 on the x-axis, move up vertically until the line representing the function is met, and read off the corresponding y value to the right on the y-axis

The value of f(x) when x = - 3 is 2






6 0
3 years ago
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Suppose you and a partner want to make a recipe for 25 friends. Adjust the amount of each ingredient below to 25 servings.
mel-nik [20]
Well, we are starting with 100 servings, and we're trying to find the amount of ingredients necessary to create 25 servings. To do this, we must first simply divide 25 by 100 to see what the ratio would be, and when we do this, we can see that

25 / 100 = \frac{25}{100} = \frac{1}{4}

Now, all we have to do is multiply all of the ingredients by the ratio to find out how much we would use for only a quarter of the amount that the original recipe calls for.

In order to multiply by a whole number by a fraction, you just need to make sure that the numerator is lined up with the whole number, and then put a 1 below the whole number to turn it into a fraction. Then, you can divide the numerators and denominators together, respectively.

1.) 100 * \frac{1}{4} = \frac{100}{1} *  \frac{1}{4} = \frac{100 * 1}{1 * 4} = \frac{100}{4} = 25

2.) 72 * \frac{1}{4} =  \frac{72}{1} *  \frac{1}{4} =\frac{72 * 1}{1*4} = \frac{72}{4} = 18

3.) 14 * \frac{1}{4} = \frac{14}{1} * \frac{1}{4} = \frac{14 *1}{1*4} = \frac{14}{4} = 3 \frac{1}{2}

4.) 6 * \frac{1}{4} = \frac{6}{1} * \frac{1}{4} = \frac{6*1}{1*4} = \frac{6}{4} = <span>1 \frac{1}{2} </span>

5.) 24 * \frac{1}{4} = \frac{24}{1} * \frac{1}{4} = \frac{24*1}{1*4} = \frac{24}{4} = 6

6.) 80 * \frac{1}{4} = <span>\frac{80}{1} * \frac{1}{4} = \frac{80*1}{1*4} = \frac{80}{4} = <span>20</span>

</span>7.) 50 * \frac{1}{4} = \frac{50}{1} * \frac{1}{4} = \frac{50*1}{1*4} = \frac{50}{4} = 12 \frac{1}{2}

And there you have the recipe ingredients necessary for 25 servings.
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5 0
3 years ago
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Milan is participating in a 4-day cross-country biking challenge. He biked for 48, 51, and 59 miles on the first three days. How
Ivahew [28]

Answer:

62 miles

Step-by-step explanation:

The formula for average is given as

Sum of values / Number of values

Let x = miles on the last day

Hence

48 + 51 + 59 + x/4 = 55

Cross Multiply

= 158 + x = 220

x = 220 - 158

x = 62

Therefore, he needs to bike 62 miles on the last day so that his average (mean) is 55 miles per day.

3 0
3 years ago
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