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3 years ago

SIMPLIFY 5(2X-3)+4(X+1)

Mathematics

2 answers:

levacccp [35]3 years ago

4 0

Answer: 14x - 11

Step-by-step explanation:

Add 10x and 4x.

14x −15 + 4

Add −15 and 4.

14 x −11

OR.

Apply the distributive property. 5 ( 2 x ) + 5 ⋅ − 3 + 4 ( x + 1 )

Multiply 2 by 5 . 10 x + 5 ⋅ − 3 + 4 ( x + 1 )

Multiply 5 by − 3 . 10 x − 15 + 4 ( x + 1 )

Apply the distributive property. 10 x − 15 + 4 x + 4 ⋅ 1

Multiply 4 by 1 . 10 x − 15 + 4 x + 4

hoped this helped lmk if it did

8090 [49]3 years ago

3 0

Answer:

14x - 11

Step-by-step explanation:

Distribute

10x - 15 + 4x + 4

Combine like terms

14x - 11

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find the area of the shaded regions. Give your answers as a completely simplified exact value in terms of pi. (no approximate)

Zigmanuir [339]

Answer:

Take out the area of the full circle first:

A= pi r^2

A= 3^2 x pi

A= 28.274 cm3

Area of smaller cirlces:

A= pi r^2

A= 1^2 x pi

A= 3.14159

Multiply by 2 as 2 circles: 6.28318

Substract unshaded from shaded: 28.274-6.28318

Area of shaded is 21.99082 cm3

Step-by-step explanation:

3 0

3 years ago

SUPER EASY WILL UPVOTE Create a number sequence in which the first term is 4. Explain the pattern that you used.

Darya [45]

The sequence is 4, 5, 6, 7, 8, ..... The pattern is: Each term is (the term before it) plus (1).

7 0

3 years ago

Using the Factor Theorem, which of the polynomial functions has the zeros 2, radical 3 , and negative radical 3 ? f (x) = x3 – 2

butalik [34]

To solve this question, we use the factor theorem, and using it, the polynomial function is:

$f(x) = x^3 - 2x^2 - 3x + 6$

------------------------------

The factor theorem means that if k is a root of f(x), f(k) = 0.

Thus, applying the factor theorem for this question, we have to choose the function for which: $f(2) = 0, f(\sqrt{3}) = 0, f(-\sqrt{3}) = 0$

------------------------------

Function 1:

$f(x) = x^3 - 2x^2 - 3x + 6$

Testing the values:

$f(2) = 2^3 - 2(2)^2 - 3(2) + 6 = 8 - 8 - 6 + 6 = 0$

$f(\sqrt{3}) = \sqrt{3^3} - 2(\sqrt{3})^2 - 3\sqrt{3} + 6 = \sqrt{3^2\times3} - 6 - 3\sqrt{3} + 6 = 3\sqrt{3} - 3\sqrt{3} = 0$

$f(-\sqrt{3}) = -\sqrt{3^3} - 2(-\sqrt{3})^2 - 3(-\sqrt{3}) + 6 = -\sqrt{3^2\times3} - 6 + 3\sqrt{3} + 6 = -3\sqrt{3} + 3\sqrt{3} = 0$

Thus, since all three conditions are satisfied, $f(x) = x^3 - 2x^2 - 3x + 6$ is the polynomial function.

A similar question is given at brainly.com/question/11378552

5 0

2 years ago

A car, initially at rest, accelerates at 2 meters/s/s. assuming the car starts from rest, how far will it travel in 10 s?

MrRa [10]

We shall use the formula for distance traveled:
s = ut + (1/2)at^2
where
u = initial velocity
t = time
a = acceleration.

Because
u = 0 (car starts from rest),
t = 10 s (travel tme),
a = 2 m/s^2 (acceleration), m
the di mstance traveled is
s = (1/2)*(2 m/s^2)*(10 s)^2 = (1/2)*2*100 = 100

Answer: 100 m

8 0

3 years ago

Question 7 A number cube with faces labeled from 1 to 6 will be rolled once. The number rolled will be recorded as the outcome.

QveST [7]

Answer:

1) $S=\{1,2,3,4,5,6\}$

2) $O=\{1,3,5\}$

Step-by-step explanation:

Given : A number cube with faces labeled from 1 to 6 will be rolled once. The number rolled will be recorded as the outcome.

To find : Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of rolling an odd number. If there is more than one element in the set, separate them with commas ?

Solution :

A number cube with faces labeled from 1 to 6 will be rolled once.

The sample space describing all possible outcomes is given by

$S=\{1,2,3,4,5,6\}$

All of the outcomes for the event of rolling an odd number is given by

$O=\{1,3,5\}$

6 0

3 years ago