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earnstyle [38]
2 years ago
10

A line passes through the point (-6,9) and has a slope of 3/2. Write an equation in slope-intercept form for this line.

Mathematics
1 answer:
BaLLatris [955]2 years ago
7 0

Answer:

y=3/2x+18

Step-by-step explanation:

Hi there!

We are given a point (-6,9) and a slope of 3/2

We want to write the equation of this line in slope-intercept form

Slope-intercept form is written as y=mx+b, where m is the slope and b is the y intercept

Since we already know the slope of the line as 3/2, we can substitute it as m into the equation:

y=3/2x+b

Now let's find  b

Since the equation of the line passes through (-6,9), we can use it to help solve for b

Substitute -6 as x and 9 as y:

9=3/2(-6)+b

Multiply

9=-9+b

Add 9 to both sides

18=b

Substitute 18 as b into the equation.

y=3/2x+18

Hope this helps!

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Match each equation on the left with the number and type of its solutions on the right.
klemol [59]

Answer:

Step-by-step explanation:

1). Given equation is,

   2x² - 3x = 6

   2x² - 3x - 6 = 0

   To find the solutions of the equation we will use quadratic formula,

   x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}

   Substitute the values of a, b and c in the formula,

   a = 2, b = -3 and c = -6

   x = \frac{3\pm\sqrt{(-3)^2-4(2)(-6)}}{2(2)}

   x = \frac{3\pm\sqrt{9+48}}{4}

   x = \frac{3\pm\sqrt{57}}{4}

   x = \frac{3+\sqrt{57}}{4},\frac{3-\sqrt{57}}{4}

   Therefore, there are two real solutions.

2). Given equation is,

    x² + 1 = 2x

    x² - 2x + 1 = 0

    (x - 1)² = 0

     x = 1

     Therefore, there is one real solution of the equation.

3). 2x² + 3x + 2 = 0

     By applying quadratic formula,

     x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}

      x = \frac{-3\pm\sqrt{3^2-4(2)(2)}}{2(2)}

      x = \frac{-3\pm\sqrt{9-16}}{4}

      x = \frac{-3\pm i\sqrt{7}}{4}

      x = \frac{-3+ i\sqrt{7}}{4},\frac{-3- i\sqrt{7}}{4}

      Therefore, there are two complex (non real) solutions.

3 0
2 years ago
5 points
Georgia [21]

Answer:

You have to find 3.25% of 205, 000 and then multiply it by 10. Then, you must add that answer to the 205,000. That will be the correct answer.

6 0
3 years ago
HELP NOW!!!!
VMariaS [17]

Using the concept of probability and the arrangements formula, there is a  

0.002 = 0.2% probability that the first 8 people in line are teachers.

----------------------------------

  • A probability is the <u>number of desired outcomes divided by the number of total outcomes.</u>
  • The order in which they are positioned is important, and all people will be positioned, and thus, the arrangements formula is used to find the number of outcomes.

The number of possible arrangements from a set of n elements is given by:

A_n = n!

----------------------------------

The desired outcomes are:

  • First 8 people are teachers, in <u>8! possible ways.</u>
  • Last 4 are students, in <u>4! possible ways.</u>

Thus, D = 8! \times 4!

----------------------------------

For the total outcomes, <u>number of arrangements of 12 people</u>, thus:

T = 12!

The probability is:

p = \frac{D}{T} = \frac{8! \times 4!}{12!} = 0.002

0.002 = 0.2% probability that the first 8 people in line are teachers.

A similar problem is given at brainly.com/question/24650047

7 0
3 years ago
How many meters are there in 89 inches
Tomtit [17]
There are 2.2606 meters in 89 inches.
6 0
2 years ago
Read 2 more answers
A number line going from negative 3 to positive 5. a closed circle is at negative 1.5. everything to the left of the circle is s
algol13

The inequalities which matches the graph are: x ≥ ₋1.5 and ₋1.5 ≤ x

Given, a number line is moving from ₋3 to ₊5 .

Next a mark is made at ₋1.5 and everything to its left is shaded which means not visible.

When we mark the point and shade the left part of it then we can start applying the inequality expressions.

And from that we can match the applicable inequalities while observing the graph.

  • For the first inequality ₋1.5 ≥ x.Here,x value ranges from ₋1.5 to ₊5, hence we take this as an inequality expression.
  • Next, if we consider x ≤ ₋1.5, then here x value will range from ₋1.5 to ₋3. where the region is shaded. Hence this expression doesn't satisfy the graph.
  • the next expression is ₋1.5 ≤ x. here the value will again range in the shaded area so it is not applicable.
  • ₋1.5 ≥ x, here the values will satisfy the graph.
  • remaining inequality expressions does not support the graph.

Therefore the only inequalities the graph represents is  x ≥ ₋1.5 and ₋1.5 ≤ x

Learn more about "Linear Inequalities" here-

brainly.com/question/371134

#SPJ10

5 0
1 year ago
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