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3 years ago

Write the equation of a line in Slope Intercept Form that passes through (−2,3) and has a slope m=4.

Mathematics

1 answer:

Vladimir [108]3 years ago

4 0

The slope is already given in the question so we can find the y-intercept.

Slope-intercept form: y = mx + b

3 = 4(-2) + b

3 = -8 + b

3 + 8 = -8 + b + 8

11 = b

Now, we can write the equation.

y = 4x + 11

Best of Luck!

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Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Two students in t

melomori [17]

Answer:

The system of equation used to find the Total number of flash cards made are $\left \{ {{5x+5} \atop {6x}} \right.$ .

In 5 minutes, each student will have 30 flash cards.

Step-by-step explanation:

Given:

Number of flash cards already made by Tristan = 5

Number of flash card Tristan makes in 1 min = 5

Number of flash card Josh makes in 1 min = 6

We need to find the How long will Josh have same number of flashcards.

Also We need to find how many flashcards will each student have at that point.

Solution:

Let the number of minutes be $'x'$ .

Now we can say that;

Total number of flash cards made by Tristan is equal to Number of flash cards already made by Tristan plus Number of flash card Tristan makes in 1 min multiplied by number of minutes.

framing in equation form we get;

Total number of flash cards made by Tristan = $5+5x$

Also We can say that;

Total number of flash cards made by Josh is equal Number of flash card Josh makes in 1 min multiplied by number of minutes.

framing in equation form we get;

Total number of flash cards made by Josh = $6x$

Hence the system of equation used to find the Total number of flash cards made are $\left \{ {{5x+5} \atop {6x}} \right.$ .

Now to find the number of minutes when both would have same number of flash cards we will make both the equation equal.

so we get;

$5+5x=6x$

On solving we get;

Combining like terms we get;

$6x-5x=5\\\\x=5\ mins$

Hence It would take 5 minutes when both will have same number of flash cards.

To find the number of flash cards each would had at that time we will substitute value of $x=5$ in the system of equations.

so we get;

number of flash cards made by Tristan = $5x+5 = 5\times5+5=25+5=30$

number of flash cards made by Josh = $6x =6\times 5 =30$

Hence In 5 minutes, each student will have 30 flash cards.

6 0

2 years ago

If f(x)=4-x^2 and g(x) =6x which expression is equivalent to (g-f)(3)

MArishka [77]

Answer:

-18

Step-by-step explanation:

Given:

f(x)=4-x^2 and g(x) =6x

h(3) = (g-f)(3)

= 6x - (4x^2)

= 6*3 -(4*3^2)

= 18 - 4*9

= -18

3 0

2 years ago

Please help! i need to figure out this xD

Svetach [21]

The answer to this is D or at least that's what I got

6 0

3 years ago

5 7/10 x 6 1/9 simplify

Softa [21]

Answer:

34 5/6

Step-by-step explanation:

Convert the mixed numbers into improper fractions:

57/10 × 55/9

We can reduce these fractions by using the greatest common factor, 3

19/2 × 11/3

Multiply

19/2 × 11/3 = 209/6

Convert to mixed number

209/6 = 34 5/6

4 0

3 years ago

Find the area of the composite shape.

andreev551 [17]

C is the correct answer

7 0

2 years ago