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Veronika [31]
3 years ago
11

Write an equation in point slope form for each line Slope is 3 and (-2,-1) is on the line

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
6 0

Answer:

\huge  \blue{y + 1 = 3(x + 2) } \\

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

y -  y_1 = m(x -  x_1)

From the question we have the final answer as

y + 1 = 3(x + 2)

Hope this helps you

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Two thousand four hundred seventy-five and one tenth as a decimal
Delvig [45]

Answer:

2475.1

Step-by-step explanation:

2,475 1/10= 24751/ 10= 2475.1

6 0
3 years ago
uppose the correlation between two variables, math attitude (x) and math achievement (y) was found to be .78. Based on this stat
Nana76 [90]

Answer:

The proportion of the variability seen in math achievement that can be predicted by math attitude is 0.78, the same value as the correlation coefficient.

Step-by-step explanation:

The correlation coefficient r between this two variables is found to be 0.78.

This coefficient can be calculated as:

r=\dfrac{SSY'}{SSY}

where SSY' is the sum of the squares deviation from the mean for the predicted value and SSY is the sum of the squares deviation from the mean for the criterion variable.

Then, the value of the coefficient r is giving the proportion of the variability seen in the criterion value Y that can be explained by the predictor variable X.

3 0
3 years ago
Read 2 more answers
Given the functions f(x) = 4x2 − 1, g(x) = x2 − 8x + 5, and h(x) = –3x2 − 12x + 1, rank them from least to greatest based on the
kvasek [131]
The axis of symmetry of a quadratic function f(x)=ax^2+bx+c is given by the equation x=h, where h is the x-coordinate of the vertex and is equal to \frac{-b}{2a}.

1.
f(x)=4x^2-1 \\
a=4 \\ b=0 \\ \Downarrow \\
h=\frac{-0}{2 \times 4}=0 \\ \\
\hbox{the axis of symmetry:} \\
x=0

2.
g(x)=x^2-8x+5 \\
a=1 \\ b=-8 \\ \Downarrow \\ h=\frac{-(-8)}{2 \times 1}=\frac{8}{2}=4 \\ \\
\hbox{the axis of symmetry:} \\
x=4

3.
h(x)=-3x^2-12x+1 \\
a=-3 \\ b=-12 \\ \Downarrow \\ h=\frac{-(-12)}{2 \times (-3)}=\frac{12}{-6}=-2 \\ \\
\hbox{the axis of symmetry: \\
x=-2

The functions ranked from least to greatest based on their axis of symmetry: h(x), f(x), g(x).
7 0
3 years ago
A bucket contains 40 red balls, 25 black balls, and 35 white balls. Two balls are drawn at random. What is the probability that
Lyrx [107]

Answer:

Probability = \frac{1}{5} or Probability = 0.2

Step-by-step explanation:

Given

Black = 25

White = 35

Red = 40

Required

Determine the probability of selecting Black and Red

First, we need to calculate the number of red and black balls

The probability is calculated as thus:

Probability = P(Black\ and \ Red) \ or\ P(Red\ and \ Black)

Convert to mathematical expressions

Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]

Solve for each probaility;

P(Black) = \frac{Black}{Total} = \frac{25}{100}

P(Red) = \frac{Red}{Total} = \frac{40}{100}

So, we have:

Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]Probability = [\frac{25}{100} *\frac{40}{100}] + [\frac{40}{100} *\frac{25}{100}]

Probability = [\frac{1000}{10000}] + [\frac{1000}{10000}]

Probability = [\frac{1}{10}] + [\frac{1}{10}]

Probability = \frac{1+1}{10}

Probability = \frac{2}{10}

Probability = \frac{1}{5}

or

Probability = 0.2

7 0
3 years ago
Please help <br><br>simplify the expression (4x10^8) (8.2 x 10^-2​
ValentinkaMS [17]

Answer:

32800000x

Step-by-step explanation:

5 0
3 years ago
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