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Natali [406]
3 years ago
12

What is the slope between the fallowing point: (8,-1) and (-7,4)

Mathematics
1 answer:
fomenos3 years ago
5 0
-3 is the answer you find slope by using Y2-Y1/X2-X1
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Barbara drives between Miami, Florida and West Palm Beach, Florida. she drives 45 miles in clear weather and then encounters a t
WINSTONCH [101]

Answer:

Barbara's speed in clear weather is 60mph and in the thunderstorm is 38mph.

Step-by-step explanation:

Let v_1 be the speed and  t_1 be the time Barbara drives in clear weather, and let v_2 be the speed and t_2 be the time she drives in the thunderstorm.

Barbara drives 22 mph lower in the thunderstorm than in the clear weather; therefore,

(1). v_2 = v_1 -22

Also,

(2). v_1t_1 = 45miles

(3). v_2 t_2 = 57,

and

(4). t_1+t_2 = 2.25hr

From equations (2) and (3) we get:

t_1 = \dfrac{45}{v_1}

t_2 =\dfrac{57}{v_2}

putting these in equation (4) we get:

\dfrac{45}{v_1}+\dfrac{57}{v_2}=2.25

and substituting for v_2 from equation (1) we get:

\dfrac{45}{v_1}+\dfrac{57}{v_1-22}=2.25

This equation can be rewritten as

2.25v_1^2-151.5v_1+990=0

which has solutions

v_1 = 60

v_1 = 7.33

We take the first solution v_1 =60 because it gives a positive value for v_2:

v_2 = v_1 -22

v_2 = 60 -22\\

v_2 = 38.

Thus, Barbara's speed in clear weather is 60mph and in the thunderstorm is 38mph.

4 0
3 years ago
Solve the system of equations using substitution. Show your work. <br> y= 2x - 10<br> y= 4x - 8
Semenov [28]
Y=2x-10
Y=4x-8
U substitute it and it turns into 2x-10 =4x-8
U get x=-1
Y=4*(-1)-8
Y=-12
(x,y)= (-1,-12)
If u have a phone u can use photo math or if u don’t there’s a thing called mathpapa
4 0
3 years ago
1) jayvion has 19.76 dollars,he then buys a few bags of chips for 1.79 dollars. How much does he have left?
Zinaida [17]

Answer:

1) I am not sure what a few bags mean

2)11-27.94 cm  8=21.59 cm

11 x2.54=27.94

8x2.54=21.59

3)17.52

4 students have the same profit so they will each keep their own money

Step-by-step explanation:


3 0
3 years ago
A random sample of 38 wheel chair users were asked whether they preferred cushion type A or B, and 28 of them preferred type A w
-BARSIC- [3]

Answer:

The statement that cushion A is twice as popular as cushion B cannot be verified

Step-by-step explanation:

From the question we are told that:

Sample size n=38

Type a size A X_a=28

Type a size B X_b=10  

Generally the probability of choosing cushion A P(a) is mathematically given by

P(a)=\frac{28}{38}

P(a)=0.73

Generally the equation for A to be twice as popular as B is mathematically given by

P(b)+2P(b)=3P

Therefore Hypothesis

Null H_0: p \leq \frac{2P}{3P} \\Altenative H_A:p>\frac{2P}{3P}

Generally the equation normal approx of p value is mathematically given by

z=\frac{x-np_0-0.5}{\sqrt{np_0(1-p_0)} }

z=\frac{28-(38*2/3)_0-0.5}{\sqrt{38*2/3*1/3} }

z=0.75

Therefore from distribution table

Pvalue=1-\theta (0.75)

Pvalue=0.227

Therefore there is no sufficient evidence to disagree with  the Null hypothesis H_0

Therefore the statement that cushion A is twice as popular as cushion B cannot be verified

7 0
3 years ago
Subtract 2x^2-3xy+4y^2 from 3x^2-5xy-6y^2
Marrrta [24]

Answer:

x ^2 − 2 y ^2 −8 x y

Step-by-step explanation:

4 0
2 years ago
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