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sergejj [24]
3 years ago
14

The line that passes through the point (-4, 2) and has a

Mathematics
1 answer:
xxMikexx [17]3 years ago
3 0

Answer:

y = 2x + 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2 , then

y = 2x + c ← is the partial equation

To find c substitute (- 4, 2 ) into the partial equation

2 = - 8 + c ⇒ c = 2 + 8 = 10

y = 2x + 10 ← equation of line

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Your friend claims that when a polynomial function has a leading coeffcient of 1 and the coefficients are all integers , every p
sammy [17]

Using the rational root theorem, it is found that your friend is correct.

<h3>What is the rational root theorem?</h3>
  • It is a theorem that states that for a polynomial with integer coefficients, with q being the factors of the leading coefficient and p being the factors of the constant, every <u>possible rational root</u> is the format \frac{p}{q}.

In this problem:

  • The leading coefficient is 1, hence it's only factor is q = 1, thus guaranteeing that every possible rational zero is an integer, which means that your friend is correct.

To learn more about the rational root theorem, you can take a look at brainly.com/question/10937559

8 0
2 years ago
A line has a slope of 8 and a y-intercept of 0 what is its equation in slope intercept form
Deffense [45]
Slope-intercept form is y = mx + b.
In this form, m is slope and b is y-intercept.
Slope is rise over run. The formula for this is (y2-y1)/(x2-x1).
Y-intercept is the value of y when x is equal to 0.

1. Slope = 8 ; Y-intercept = 0
y = mx + b
m = 8 ; b = 0
y = 8x + 0
y = 8x

2. Slope = 1 ; Y-intercept = 2
y = mx + b
m = 1 ; b = 2
y = 1x + 2
y = x + 2

The answer to #1 is y = 8x.
The answer to #2 is y = x + 2.

Hope this helps!
4 0
3 years ago
Solve x2 + 6x + 7 = 0.
docker41 [41]

Answer:

x= -7/8

Step-by-step explanation:

8x + 7 = 0

8x + 7-7 = 0-7

8x=-7

8x/8x = -7/8

3 0
3 years ago
Read 2 more answers
HELP IS NEEDED FAST PLEASE
vfiekz [6]

Answer:

17.1

Step-by-step explanation:

If you have 15.50 and you divide 0.75 you get 20.6 and if you subtract 3.50 you get 17.1 which is your answer. Boom

7 0
2 years ago
An accident at an oil drilling platform is causing a circular oil slick. The slick is 0.07 foot thick, and when the radius of th
ololo11 [35]

Answer:43.54 ft^3/min

Step-by-step explanation:

Given

Thickness of oil slick=0.07 foot

radius of slick=110 ft

\frac{\mathrm{d} r}{\mathrm{d} t}=0.9 ft/s

Let V be the volume of oil slick

so, V=0.07\pi \cdot r^2

rate of oil flowing is

\frac{\mathrm{d} V}{\mathrm{d} t}=0.07\times 2\pi \cdot r\frac{\mathrm{d} r}{\mathrm{d} t}

\frac{\mathrm{d} V}{\mathrm{d} t}=0.07\times 2\pi \times 110\times 0.9=43.54 ft^3/min

7 0
3 years ago
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