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34kurt
2 years ago
6

Write an equation in slope-intercept form for the line with slope -1/4 and y-intercept intercept -3. Then graph the line

Mathematics
1 answer:
DanielleElmas [232]2 years ago
6 0

Answer:

y = - \frac{1}{4} x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - \frac{1}{4} and c = - 3, thus

y = - \frac{1}{4} x - 3 ← equation in slope- intercept form

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Consider the equation: 3(–4n – 9) = 21
hram777 [196]

Answer: N=-4

Step-by-step explanation:

STEP

1

:

STEP

2

:

Pulling out like terms

2.1     Pull out like factors :

  -4n - 9  =   -1 • (4n + 9)

Equation at the end of step

2

:

 -3 • (4n + 9) -  21  = 0

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  -12n - 48  =   -12 • (n + 4)

Equation at the end of step

4

:

 -12 • (n + 4)  = 0

STEP

5

:

Equations which are never true:

5.1      Solve :    -12   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

5.2      Solve  :    n+4 = 0

Subtract  4  from both sides of the equation :

                     n = -4

One solution was found :

n = -4

7 0
2 years ago
Read 2 more answers
Samantha is making cookies for her friends
maxonik [38]
3.7x4=14.8. 14.8 cups of sugar
7 0
2 years ago
Darren wanted to see how contagious yawning can be. To better understand this, he conducted a social experiment in which he yawn
denis23 [38]

Answer:

10.5 minutes

Step-by-step explanation:

Thinking about the problem

The modeling function is of the form P(t)=A⋅Bf(t), where B=4B=4B, equals, 4 and f(t)=\dfrac{t}{10.5}f(t)=

10.5

t

​

f, left parenthesis, t, right parenthesis, equals, start fraction, t, divided by, 10, point, 5, end fraction.

Note that each time f(t)f(t)f, left parenthesis, t, right parenthesis increases by 111, the quantity is multiplied by B=4B=4B, equals, 4.

Therefore, we need to find the ttt-interval over which f(t)f(t)f, left parenthesis, t, right parenthesis increases by 111.

Hint #22 / 3

Finding the appropriate unit interval

fff is a linear function whose slope is \dfrac{1}{10.5}

10.5

1

​

start fraction, 1, divided by, 10, point, 5, end fraction.

This means that whenever ttt increases by \Delta tΔtdelta, t, f(t)f(t)f, left parenthesis, t, right parenthesis increases by \dfrac{\Delta t}{10.5}

10.5

Δt

​

start fraction, delta, t, divided by, 10, point, 5, end fraction.

Therefore, for f(t)f(t)f, left parenthesis, t, right parenthesis to increase by 111, we need \Delta t=10.5Δt=10.5delta, t, equals, 10, point, 5. In other words, the ttt-interval we are looking for is 10.510.510, point, 5 minutes.

Hint #33 / 3

Summary

The number of people who yawned quadruples every 10.510.510, point, 5 minutes.

7 0
3 years ago
Melons cost $20 pet Crate, and apples cost $8 per create. an order comes in for a total of 48 crates for $420. what was the numb
Alika [10]

Answer:

The number of melon was 3 and the number of apples was 45.

Step-by-step explanation:

1. Melons cost $20 per crate and apples cost $8 per create. If the total was 48 crates for $420, you can make the following system of equations, where x is the number of melons and y is the number of apples:

\left \{ {{x+y=48} \atop {20x+8y=420}} \right.

2. By applying the Method of substitution, you can solve for y in the first equation and substitute it into the second one to find x. Then, you can substitute the value of x into the first equation to find y:

y=48-x

20x+8(48-x)=420\\20x+384-8x=420\\12x=36\\x=3

3+y=48\\y=45


4 0
3 years ago
8 3/5 - 1 3/10 = ?<br><br> this is fractions
Semenov [28]
1)  8 \frac{3}{5} - 1 \frac{3}{10}

2)  8 \frac{6}{10} - 1 \frac{3}{10}=

3)  7\frac{3}{10}

Answer
7 \frac{3}{10}
4 0
3 years ago
Read 2 more answers
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