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mars1129 [50]
3 years ago
10

If a line passes through the point (4,-3) and has a slope of 2/3 the point slope equation is

Mathematics
1 answer:
valina [46]3 years ago
3 0

Answer:

y + 3 = 2/3(x - 4)

Step-by-step explanation:

Point slope form equation

y - y1 = m( x - x1)

( x1 , y1) - any point on the line

m - slope of the line

Given

Slope - 2/3

Point - ( 4 , -3)

x1 = 4

y1 = -3

Substitute the values into the equation

y - y1 = m( x - x1)

y - (-3) = 2/3( x - 4)

y + 3 = 2/3(x - 4)

The equation of the line in point slope form is

y + 3 = 2/3(x - 4)

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Find the inverse function of f(x)=4x-8
kipiarov [429]

Answer:

f^-1(x)=1/4x+2

Step-by-step explanation:

y=4x-8

change x and y

x=4y=8

switch sides

4y-8=x

add 8

4y=x+8

divide both sides by 4

y=1/4x+2

substitute f^-1(x) for y

f^-1(x)=1/4x+2

8 0
3 years ago
The target temperature for a laboratory is 72° Fahrenheit. It
myrzilka [38]

The inequality |t - 72| ≤ 2 represents the target temperature for a laboratory is 72° Fahrenheit, and it can vary by up to 2° option (D) is correct.

<h3>What is inequality?</h3>

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

The question is incomplete.

The complete question is in the picture, please find the attached picture.

We have:

The target temperature for a laboratory is 72° Fahrenheit. It can vary by up to 2°.

Target temperature = 72 degree Fahrenheit

It can vary by up to 2°. (the highest limit)

The temperature in the laboratory represented by t

Now,

inequality represents this situation is:

|t - 72| ≤ 2

Thus, the inequality |t - 72| ≤ 2 represents the target temperature for a laboratory is 72° Fahrenheit, and it can vary by up to 2° option (D) is correct.

Learn more about the inequality here:

brainly.com/question/19491153

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6 0
2 years ago
Jaclyn's company required an initial investment of $2,125 for starting costs and sells construction toys for $49.99 each. Richie
Darina [25.2K]

The the number of construction toys that must be bought so that the profit for Jacelyn's company and Richie's company is the same. is t= 204.3269230769231

<h3>what is equation?</h3>

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation. It will be considered as an expression.

As, per the given situation the equation can be

2125 + 49.99 t = 39.95 t

10.4 t= 2125

t= 2125 / 10.4

t= 21250/104

t= 204.3269230769231

Learn more about equation here:

brainly.com/question/10413253

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6 0
2 years ago
What is the multiplicity of each of the roots of the graph of
pantera1 [17]

Answer:

The correct option is;

C. -3, multiplicity 2; -1, multiplicity 1; 1, multiplicity 1

Please find attached the required function graph

Step-by-step explanation:

To solve the equation f(x) = 2·x⁴ + 12·x³ + 16·x² -12·x - 18, by graphing the function, we have;

x {}       F(x)

-4{}       30

-3{}       0

-2{}       6

-1{}        0

0 {}      -18

1{}         0

2{}       150

The shape of a graph with multiplicity of 2

Given that the graph bounces of the horizontal axis at the y-intercept at point x = -3, the factor (x - 3) must be a quadratic of the form (x - 3)², thereby having a multiplicity of 2 in the solution which are;

x = 1, -1, and, giving

(x - 1)·(x + 1)·(x - 3)² = 0

Therefore, the correct option is -3, multiplicity 2; -1, multiplicity 1; 1 multiplicity 1.

3 0
3 years ago
Read 2 more answers
20) Explain what 25 ÷ 0.2 means
statuscvo [17]
It means 25 divided by 0.2

3 0
3 years ago
Read 2 more answers
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