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asambeis [7]
2 years ago
10

Write an equation of the line in slope-intercept form through the given points: (0, 2) and (3, 3).

Mathematics
1 answer:
dybincka [34]2 years ago
4 0
The answer is y=1/3x+2
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Write the slope-intercept form of an equation that passes
Hunter-Best [27]

Answer:

y = \frac{4}{3}x-5

Step-by-step explanation:

As the line is perpendicular to y=-\frac{3}{4} x + 2, we know that the slope of the line is \frac{4}{3}. As it passes through (3, - 1), we know that it should be y = \frac{4}{3}x-5.

4 0
2 years ago
Which of the following are coefficient
malfutka [58]

Answer:

2 and -3

Step-by-step explanation:

because a coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x).

so in 2x-3y+5, 2 and -3 are the coefficients.

4 0
3 years ago
f(x) = x2. What is g(x)?SIf(x)= x/g(x)(2,1)-5O A.06)-()O B. g(x) = 2x2O C. g(x)-9(x)=(*)O D. g(x)= x2
Andrew [12]
Explanation

As you can see all the possible answers have the same form:

g(x)=ax^2

By looking at the picture you'll notice that the graph of g(x) has to pass through the point (2,1). Remember that the points in the graph of g(x) have the form (x,g(x)). Since (2,1) is part of the graph of g(x) then we have the following:

\begin{gathered} (2,1)=(x,g(x)) \\ x=2 \\ g(2)=1 \end{gathered}

So let's evaluate the expression for g(x) that we wrote before at x=2. This way we'll obtain an equation for the number a:

\begin{gathered} g(2)=1=a\cdot2^2 \\ 1=4a \end{gathered}

Then we can divide both sides by 4:

\begin{gathered} \frac{1}{4}=\frac{4a}{4} \\ a=\frac{1}{4} \end{gathered}

Then we get:

g(x)=\frac{1}{4}x^2=(\frac{1}{2}x)^2Answer

Then the answer is option A.

3 0
1 year ago
From a candy machine a random handful of colored chocolate candies are dispensed with 2 quarters. In one turn the machine dispen
Gemiola [76]

Answer:

the answer should be 1/11

Step-by-step explanation:

p(blue first) = 3/12

p(yellow second) = 4/11

so p = 3/12 x 4/11

1/11 is your probability

8 0
2 years ago
Solving special systems<br> {y=1/2x+4<br> {-1/2x+y=-5
ryzh [129]

Answer:

no solution

Step-by-step explanation:

Given the 2 equations

y = \frac{1}{2} x + 4 → (1)

- \frac{1}{2} x + y = - 5 → (2)

Substitute y = \frac{1}{2} x + 4 into (2)

- \frac{1}{2} x + \frac{1}{2} x + 4 = - 5 , that is

4 = - 5 ← not possible

This indicates the system has no solution

7 0
3 years ago
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