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2 years ago

Sophia used the Order of Operations to simplify 4(5 - 2) to 4x3.

Mathematics

1 answer:

Alchen [17]2 years ago

5 0

Answer:

Step-by-step explanation:

Order of operations, use the operation within the parenthesis:

1) 5 - 2 = 3
2) 4*3 = 12

Distributive property, a(b + c) = ab + ac:

1) 4*5 - 4*2 = 20 - 8
2) 20 - 8 = 12

Both ways are correct and lead to same result

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Write the quadratic function in standard form. y = (x - 2)^2 + 4

Mrrafil [7]

Answer:

y = x^2 - 4x + 8

Step-by-step explanation:

Step 1: Factor the (x - 2)^2

y = (x - 2)^2 + 4

y = x^2 - 4x + 4 + 4

y = x^2 - 4x + 8

Answer: y = x^2 - 4x + 8

8 0

2 years ago

The water pressure on Mustafa as he dives is increasing at a rate of

iris [78.8K]

Answer:

992 atm/km

Step-by-step explanation:

We are asked to convert the rate 0.992 atm/m to atm/km. We know that 1000 meters are equivalent to 1 km, using this factor we can compute:

$0.992 \frac{atm}{m} \times \frac{1000 m}{1 km} = 992 \frac{atm}{km}$

Notice that meters are cancelled because they are both in the numerator and in the denominator.

8 0

2 years ago

Read 2 more answers

If h(x) = 6 - X, what is the value of (h*h)(10)?

Vikentia [17]

The value of $\bold{ h(h(10))=10}$

Solution:

Given: $h(x) = 6 - x$

To find: The value of (h*h)(10)

We know that, $(h*h)(x)=h(h(x))$

which is,

$\Rightarrow h(h(x))=6-(6-x)=x$

On solving we get,

$\Rightarrow6-6+x=x$

So, for x = 10 it will be,

$h(h(10))=10$

Hence, the required value is 10.

5 0

2 years ago

If the ratio of side lengths of similar polygons is 6:11, what is the ratio of perimeters?

alex41 [277]

Answer:

It would be the same as the similar polygons length. so 6:11.

Step-by-step explanation:

Hope i have helped you!

3 0

2 years ago

In a sixth grade class, the ratio of boys to girls is 4:3 if there are 35 students in the class how many girl are there

babunello [35]

Step-by-step explanation:

The ratio is 4:3

First you would do 4 + 3 which is 7

Then you would do 35 ÷ 7 which is 5

Finally we would multiply 5 to the ratio 4:3

So 7 × 4 is 28

And 7 × 3 is 21

So the new ratio is 28:21

So there are 21 girls in the class

Hope this makes sense

4 0

2 years ago