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KonstantinChe [14]
3 years ago
8

Q-35 Convert this equation to slope-intercept form: y+2= -4/17x + 12/7

Mathematics
1 answer:
Andru [333]3 years ago
6 0

Answer:

see explanation

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)

given y + 2 = - \frac{4}{17} x + \frac{12}{7}

Subtract 2 from both sides

y = - \frac{4}{17} x + \frac{12}{7} - \frac{14}{7}

y = - \frac{4}{17} x - \frac{2}{7} ← in slope- intercept form


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A healthy human heart beats about 1,533,000 times a year. A sparrow's heart beats about 241,776,000 times in a year. About how m
Galina-37 [17]

Answer:

About 158 times

Step-by-step explanation:

Represent the rate of human heart with H and sparrow's heart with S

H = 1,533,000\ times

S = 241,776,000\ times

Required

Determine how many times faster is S than H

To do this, we simply divide S by H i.e.

Number = \frac{S}{H}

Number = \frac{241,776,000}{1,533,000}

Number = 157.714285714

Number = 158 --- approximated

<em>Hence, the sparrow's heart beats about 158 times faster than the human hearts</em>

5 0
2 years ago
For the given polynomials find the sum of the squares of the roots. P(x)=x^3-x^2-18x+k
slega [8]

\text{Given that,}\\\\P(x) = x^3 -x^2 -18x+k\\\\\text{If the roots are}~ \alpha, ~ \beta,~\text{and}~ \gamma, ~ \text{then},\\\\\alpha +\beta+\gamma= -\dfrac{(-1)}1 = 1\\\\\alpha \beta +\beta \gamma + \gamma \alpha= -\dfrac{18}1 = -18\\ \\\text{Now, sum of the  squares of the roots,}\\\\\alpha^2 + \beta^2 + \gamma^2 = ( \alpha + \beta + \gamma)^2 -2(\alpha \beta + \gamma \beta + \gamma \alpha)\\ \\~~~~~~~~~~~~~~~~~~=1^2 - 2(-18)\\\\~~~~~~~~~~~~~~~~~~=1+36\\\\~~~~~~~~~~~~~~~~~~=37

6 0
2 years ago
What is the range of the function for the given domain? y = 2x − 5 D: {-2, 0, 2, 4}
rosijanka [135]

Answer:

Range of Function :  { - 9, - 5, - 1,  4 }

Step-by-step explanation:

We know that y = 2x - 5 provided the domain ( x - values ) { - 2, 0, 2, 4 }. Let us substitute each element in this set of domain as x in the equation "y = 2x - 5" as to solve for the y - values, otherwise known as the range of the function.

{ - 2, 0, 2, 4 }

y = 2( - 2 ) - 5 = - 9,

y = 2( 0 ) - 5 = - 5,

y = 2( 2 ) - 5 = - 1,

y = 2( 4 ) - 5 = 4

We have the set of y - values as { - 9, - 5, - 1, 4 }. This is the range of our function.

7 0
2 years ago
Read 2 more answers
PLS HALP ASAP =w=!!!! (will mark u teh brainliest if you explain the problem properly and clearly, 20 pts uwu!)
Oksanka [162]
N = 3 i = 2
2 x 2 = 4
3 x 3 = 9
4 + 9 = 13
13 = area
7 0
2 years ago
15/45 and 45/135 simplified
iren2701 [21]
"15/45" = "1/3"
"45/135" = "1/3" 
8 0
3 years ago
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