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2 years ago

Find four consecutive even integers whose sum is 84. Find the integers.

1 answer:

4 0

Suppose the integers are n , n+2 , n+4 and n+6.
84=n+(n+2)+(n+4)+(n+6)=4n+12.
Subtract 12 from both ends to get.
72=4n.
Divide both ends by 4 to get.
n=18.
So the integers are: 18 , 20 , 22 , 24.

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Which equation is the inverse of 5 y + 4 = (x + 3) squared + one-half?

8_murik_8 [283]

The inverse of the given function is y = √5x + 7/2 - 3

<h3>Inverse of a function</h3>

Given the function expressed below;

5y + 4 = (x+3)² +1/2

5y = (x+3)² - 7/2

y = 1/5(x+3)² - 7/10

Replace y as x

x = 1/5(y+3)² - 7/10

Make y the subject of the formula

5x = (y+3)²- 7/2

(y+3)² = 5x + 7/2

y+3 = √5x + 7/2

y = √5x + 7/2 - 3

Hence the inverse of the given function is y = √5x + 7/2 - 3

learn more on inverse of a function here: brainly.com/question/3831584

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4 0

1 year ago

∆ ABC is isosceles with AB= AC= 7.5cm and BC= 0 cm .the height AD from A to BC, is 6cm . find the area of ∆ ABC what will be the

lora16 [44]

I have attached an image of the triangle.

BC = 9 cm

Answer:

CE = 7.2 cm

Step-by-step explanation:

In the attached triangle, we see that;

AB = AC = 7.5cm

BC = 9 cm

AD = 6cm

BC = 9cm

Formula for area of triangle is given as;

A = ½bh

Where b is base and h is height.

For the ∆ ABC with BC as base,

Area = ½ × 9 × 6 = 27 m²

Similarly, For ∆ ABC with AB as base,

Area = ½ × 7.5 × CE

Now, area from earlier is 27 cm²

Thus;

½ × 7.5 × CE = 27

Multiply both sides by 2 to get;

7.5CE = 54

CE = 54/7.5

CE = 7.2 cm

3 0

2 years ago

a company making washing machines works out that the probability of a new washing machine working perfectly is 0.972 what is the

andreyandreev [35.5K]

Answer:

0.028

Step-by-step explanation:

1 - P good = P faulty

1 - 0.972 = 0.028

4 0

2 years ago

How do you convert 17 cmon minute to miles an hour

eimsori [14]

Answer:

0.006 miles per hour

Step-by-step explanation:

We are given;

Speed in cm per minute ( 17 cm per min)

We are required to convert cm per minute to miles an hour

we need to know that;

1 miles = 160934 cm

1 hour = 60 minutes

We can convert 17 cm to miles and 1 minute to hours

17 cm = 17 ÷ 160934 cm

= 17/160934

1 minute = 1/60 hour

Therefore;

In miles per hour;

= (17/160934) ÷ (1/60)

= 0.00634 miles per hour

= 0.006 miles per hour

Therefore, 17 cm per minute is equivalent to 0.006 miles per hour

4 0

2 years ago

Can y’all help me what do I do here please I’ll give you brainliest

exis [7]

Answer:

1, 2, -3, 51

Step-by-step explanation:

0 ÷ 2 = 0

0 + 1 = 1

2 ÷ 2 = 1

1 + 1 = 2

-8 ÷ 2 = -4

-4 + 1 = -3

100 ÷ 2 = 50

50 + 1 = 51

3 0

2 years ago