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agasfer [191]
3 years ago
11

What is the equation of the following line written in general form? (The y-intercept is 7.)

Mathematics
1 answer:
Viktor [21]3 years ago
4 0

Answer:

<h2>3x - y + 7 = 0</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

Put the given y-intercept b = 7 and the coordinates of the point (-2, 1) to the equation:

1=-2m+7          <em>subtract 7 from both sides</em>

-6=-2m       <em>divide both sides by (-2)</em>

3=m\to m=3

We have the equation:

y=3x+7

Convert it to the general form Ax+By+C=0:

y=3x+7              <em>subtract 3x and 7 from both sides</em>

-3x+y-7=0           <em>change the signs</em>

3x-y+7=0

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What function was used to make that pattern​
Semenov [28]

Answer:

B

Step-by-step explanation:

The differences in the terms of f(x) are + 3, + 5, + 7

Since the differences are not constant the relationship is not linear

Note the differences in the differences are + 2, + 2,

The second differences are constant indicating a quadratic relationship

Note the relationship between x and f(x)

x = 1 → 1² = 1 ← require to add 5, that is 1 + 5 = 6 ← value of f(x)

x = 2 → 2²  = 4 ← require to add 5, that is 4 + 5 = 9 ← value of f(x)

x = 3 → 3² = 9 ← require to add 5, that is 9 + 5 = 14 ← value of f(x)

x = 4 → 4² = 16 ← require to add 5, that is 16 + 5 = 21 ← value of f(x)

Thus f(x) = x² + 5 → B

3 0
3 years ago
Standard normal curve between z=.42 and z=1.92<br> a= .6902<br> b= .3098<br> c= .1902<br> d= .8098
soldier1979 [14.2K]
The correct answer is Choice B: 0.3098.

To find the answer, you have to use a normal distribution table. Look up the percents for each z-score and subtract them to find the region between.

z = 1.92 the percent is 0.9726

z = 0.42 the percent is 0.6628

0.9726 - 0.6628 = 0.3098
4 0
3 years ago
5) On Saturday morning, the temperature was -19° F. By noon the temperature had risen 6
Alisiya [41]

Answer:

It increased by 12°F between the noon and evening

Step-by-step explanation:

6 0
3 years ago
Jean works as a secretary for a local business. She is paid $10.50 per hour. She
PIT_PIT [208]

Answer:

$472.5

Step-by-step explanation:

10.5x

10.5 × 45= $472.5

5 0
3 years ago
Y=2 Enter the solution (x, y) to the system of equations shown 7y+3x=5
AnnyKZ [126]

Answer:

(x, y) = (-3, 2)

Step-by-step explanation:

Put the given value of y into the equation and solve for x.

... 7·2 +3x = 5

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... x = -3 . . . . . . . divide by the x-coefficient

The solution (x, y) is (-3, 2).

6 0
3 years ago
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