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meriva
3 years ago
15

Write an equation for the line in slope-intercept form.

Mathematics
1 answer:
STatiana [176]3 years ago
6 0

Answer:

y=2x+2

Step-by-step explanation:

the equation for slope intercept form is y=mx+b where b is the y intercept and m is the slope. From the graph we can see that where x is 0 y is 2 which makes 2 be the y intercept, and when x is 1 y is 4 which then you replace y for 4 and x for 1 which would be 4=m(1)+2,now u subtract 2 from both sides which leaves you with 2=m(1) and m times 1 is m so now your left with 2=m which means the slop is 2

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Write the slope-intercept form of the equation that passes through the point (-3, 5) and is perpendicular to the line y = 1/5x +
aleksley [76]

Answer:

<h2>y = -5x - 10</h2>

Step-by-step explanation:

\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\=========================

\text{We have}\ y=\dfrac{1}{5}x+10\to m_1=\dfrac{1}{5}\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{5}}=-5.\\\\\text{Put the value of a slope and the coordinates of the point (-3, 5)}\\\text{to the equation}\ y=mx+b:\\\\5=-5(-3)+b\\5=15+b\qquad\text{subtract 15 from both sides}\\-10=b\to b=-10\\\\\text{Finally:}\\\\y=-5x-10

7 0
3 years ago
Pls help i dont understand
Alisiya [41]

The formula for the circumference is 2πr.

The diameter d is given, which is 2 times the radius r (d = 2r)

So you have to calculate π d = 3.142×1.8 ≈ 5.7

6 0
3 years ago
Anyone who plays or watches sports has heard of the "home field advantage." Teams tend to win more often when they play at home.
AveGali [126]

Answer:

H0 : μ = 0.5

H0 : μ > 0.5

Kindly check explanation

Step-by-step explanation:

H0 : μ = 0.5

H0 : μ > 0.5

We perform a right tailed test :

Sample proportion :

Number of games won, x = 142

Number of games, n = 250

phat = x / n = 142 / 250 = 0.568 = 56.8%

Yes, it is consistent

Test statistic :

(phat - p) * √Phat(1-Phat)/n

1 -Phat = 1 -0.568 = 0.432

(0.568 - 0.5) /√(0.568*0.432)/250

0.068 / 0.0313289

= 2.17

The Pvalue using the z test statistic :

Pvalue = 0.015

α = 0.03

Since ;

Pvalue < α ; We reject the null and conclude that teams tend to win more often when they play at home.

8 0
3 years ago
Mathematicians 4: Who is Who?
larisa86 [58]

Answer:

a. x = -9 or x = -2

b. -5(x - 4)

c. x = -3 or x = 5

d. x = ±7

Step-by-step explanation:

a. First person;

y = x² + 11x + 18

y = x² + 9x + 2x + 18

y = x(x + 9) + 2(x + 9)

y = (x + 9)(x + 2)

y = x = -9 or x = -2

b. Second person;

y = -5x + 20

The common factor is 5.

y = -5(x - 4)

c. Third person;

y = x² - 2x - 15

y = x² - 5x + 3x - 15

y = x(x - 5) + 3(x - 5)

y = (x + 3)(x - 5)

y = x = -3 or x = 5

d. Fourth person;

y = x² - 49

Applying the difference of squares formula;

(a² - b²) = (a - b)(a + b)

y = x² - 49 = x² - 7² = (x - 7)(x + 7)

y = (x - 7)(x + 7)

y = x = ±7

6 0
2 years ago
Choose the expression that is equal to 28.3
KengaRu [80]

There are no other expressions intered. Please write them too.

Answer:

It CAN be 28.30

3 0
2 years ago
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