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3 years ago

(-4, -5) (3, 4) Slope:

Mathematics

1 answer:

Ivan3 years ago

5 0

Answer

1.M=1

2.3/5

3.(NO SOLUTION)

4.0

5.1/2 =0.5

Step-by-step explanation:

Y=mx+b

M=(Y2)+(y1)/(x2)+(x1)

1. x1 y1 x2 y2

(-4 , -5) , (3 , 4)

Slope:

M=(4)+(-5)/(3)+(-4)

=-1/-1= 1

2. x1 y1 x2 y2

(0 , -2) , (5, -1)

Slope:

M=(-1)+(-2)/(5)+(0)

=-3/5

3. x1 y1 x2 y2

(-5 , -1) , (5 , -3)

Slope:

M=(-3)+(-1)/(5)+(-5)

=- 4/0=(NO SOLUTION)

4. x1 y1 x2 y2

(-5, -5) (-1, 5)

Slope:

M=(5)+(-5)/(-1)+(-5)

= 0/-6 =0

5. x1 y1 x2 y2

(-2, 0) (4, 1)

Slope:

M=(1)+(0)/(4)+(-2)

= 1/2 =0.5

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Morgan’s grandmother orders her groceries online and has them delivered to her house. Her bill is $120. She has a coupon for 20%

iragen [17]

Answer:

The total price of the groceries, including discount and tip is $110.4.

Step-by-step explanation:

Here, the bill amount of groceries = $120

Now, the coupon off = 20%

Calculating the discount, we get

20% of bill amount $120 = 20% of 120 = $\frac{20}{100} \times 120 = 24$

So, the 20% discount on the bill amount = $24

The actual payable amount = Bill Amount - Discount

= $120 - $24 = $96

Now, 15% tip is also applied on the actual payable amount $96.

15% of 96 = $\frac{15}{100} \times 96 = 14.4$

So, the total price t = Payable amount + Tip amount

= $96 + $14.4 = $110.4

or, t = $110.4

Hence, the total price of the groceries, including the discount and the tip is t = $110.4.

6 0

3 years ago

A town recently dismissed 9 employees in order to meet their new budget reductions. The town had 7 employees over 50 years of ag

raketka [301]

Answer: 0.1340

Step-by-step explanation:

The binomial distribution formula is given by :-

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where P(x) is the probability of x successes out of n trials, p is the probability of success on a particular trial.

Given : The number of employees over 50 years of age =7

The probability of employees over 50 years of age = $\dfrac{7}{7+15}=0.318$

Number of dismissed employees : n= 9

Now, the required probability will be :

$P(x =1)=^{9}C_1(0.318)^{1}(1-0.318)^{9-1}\\\\=(9)(0.318)(1-0.318)^{8}=0.133950588714\approx0.1340$

Thus, the probability that exactly 1 employee was over 50 = 0.1340

3 0

3 years ago

G2 – 4g – 21 = (g – )(g + )

Sloan [31]

g^2 – 4g – 21 = (g – 7)(g +3 )

hope it helps

8 0

3 years ago

Read 2 more answers

An equation that models the sequence 400, 200, 100, 50, ...

Serga [27]

For this, let's have:
n represent each number, the number after it is its place in sequence
/ means divide

n1 /2 = n2, etc.

3 0

3 years ago

What are the values of m and n in the matrix addition below?

Aleksandr [31]

ANSWER

The correct answer is $m=45,n=12$ .

EXPLANATION

We were given the matrix equation;

$\left[\begin{array}{cc}n-1&6\\-19&m+3\end{array}\right] +\left[\begin{array}{cc}-1&0\\16&-8\end{array}\right] =\left[\begin{array}{cc}10&6\\-3&40\end{array}\right]$ .

We must first simplify the Left Hand Side of the equation by adding corresponding entries.

$\left[\begin{array}{cc}n-1+-1&6+0\\-19+16&m+3-8\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right]$ .

That is;

$\left[\begin{array}{cc}n-2&6\\-3&m-5\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right]$ .

Since the two matrices are equal, their corresponding entries are also equal. we equate corresponding entries and solve for m and n.

This implies that;

$n-2=10$

We got this equation from row one-column one entry of both matrices.

$n=12$

Also, the row three-column three entries of both matrices will give us the equation;

$m-5=40$

$m=45$

Hence the correct answer is $m=45,n=12$ .

The correct option is option 2

6 0

3 years ago