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lara [203]
3 years ago
9

Subtract (6x² + 8x - 5) from (7x? + 8x - 4)

Mathematics
1 answer:
vampirchik [111]3 years ago
8 0

Answer:

−6x^2+7x+1

Step-by-step explanation:

1)(7x+8x-4)=15x−4

2)15x-4-(6x^2+8x-5)=−6x2+7x+1

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A group of people were asked which of three ice cream flavors they prefer. The results are shown in the table.
olchik [2.2K]

Using it's concept, it is found that the probability of a person being over 20 years old and preferring strawberry ice cream is of 12%.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes.</u>

In this problem, there are 8 + 10 + 6 + 8 + 6 + 12 = 50 people, and of those, 6 are over 20 years old and prefer strawberry ice cream, hence the probability is given by:

p = 6/50 = 0.12 = 12%.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

7 0
2 years ago
On his outward journey, Ali travelled at a speed of s km/h for 2.5 hours. On his return journey, he increased his speed by 4 km/
den301095 [7]

Answer:

3.08 km/h.

Step-by-step explanation:

We know that,

Speed=\dfrac{Distance}{Time}

Ali traveled at a speed of s km/h for 2.5 hours.

Let d be the distance and t be the time.

2.5=\dfrac{d}{t}

2.5t=d      ...(1)

On his return journey, he increased his speed by 4 km/h and saved 15 minutes. So, distance is d and times is t-15.

4=\dfrac{d}{t-15}

4(t-15)=d      ...(2)

From (1) and (2), we get

4(t-15)=2.5t

4t-60-2.5t=0

1.5t=60

t=40

Put t=40 in (1).

d=2.5(40)=100

So, t=40 and d=100.

Now,

Total distance = d + d = 100 + 100 = 200

Total time = t + t - 15 = 40 + 40 - 15 = 65

So, the average speed is

\text{Average speed}=\dfrac{\text{Total distance}}{\text{Total time}}

\text{Average speed}=\dfrac{200}{65}

\text{Average speed}\approx 3.08

Therefore, the average speed is 3.08 km/h.

3 0
4 years ago
The image of the point (-6, -2)under a translation is (−7,0). Find the coordinates of the image of the point (7,0) under the sam
lesya692 [45]

Answer:

hello :  solutio  ( 6 ; 2)

Step-by-step explanation:

the translation is :    x' = x + a ....(*)

                                 y' = y + b ...(**)

calculate  the coordinates ( a ; b)  of vectro by the translation

you have : x' = -7    y' = 0     x = -6    y = -2

Substitute in (*) , (***) :   -7 = -6 +a

                                      0 = - 2 + b

a = -1   and b= 2

so :  x' = x - 1

      y' = y + 2

calculate now the coordinates of the image of the point (7,0) under the same translation.

x = 7  and b = 0

so : x' = 7-1 = 6   and y' = 0 + 2 = 2

the image is  : ( 6 ; 2 )

4 0
4 years ago
At what points does the helix r = left angle bracketsin(t), cos(t), tright angle bracket intersect the sphere x 2 + y 2 + z 2 =
r-ruslan [8.4K]

Answer:

the points are = (0.1045, 0.9945, 6) and ( -0.1045, 0.9945, -6)

Step-by-step explanation:

The detailed steps and appropriate substitution is as shown in the attached file.

4 0
4 years ago
wile e coyote has constructed a ramp with a height of 45 meters with which he shall launch himself with acme brand rocket powere
vampirchik [111]

Um.... What is the question this does not show what you need

6 0
3 years ago
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