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3 years ago

Solve for x: -1 < x + 3 < 5

Mathematics

1 answer:

Burka [1]3 years ago

8 0

Answer:

B -4<x<2

Step-by-step explanation:

$-1+-3$

Add -3 to all parts

and u get $-4$

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What is the greatest common factor of 44c^5, 22c^3 and 11c^4

Alexxandr [17]

$\text{ GCF of } 44c^5, 22c^3 , 11c^4 \text{ is } 11c^3$

Solution:

Given that, we have to find the greatest common factor of $44c^5, 22c^3 , 11c^4$

The greatest number that is a factor of two (or more) other numbers.

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor

$\underline{\text{ GCF of } 44c^5, 22c^3 , 11c^4 :}$

First find the GCF of numbers and then find the GCF of variables and then multiply them together

Step 1: GCF of 44, 22 and 11

The factors of 11 are: 1, 11

The factors of 22 are: 1, 2, 11, 22

The factors of 44 are: 1, 2, 4, 11, 22, 44

11 is the greatest factor that is common in above three list

Then the greatest common factor is 11

$\text{ Step 2: GCF of }c^5, c^3 , c^4$

$c^5 = c^3 \times c^2\\\\c^3 = c^2 \times c^1 \text{ or } c^3\\\\c^4 = c^3 \times c^1$

Thus the greatest common factor is $c^3$

Step 3: Multiply the GCF of 44, 22, 11 and GCF of $c^5, c^3 , c^4$

$\text{ GCF of } 44c^5, 22c^3 , 11c^4 = 11 \times c^3 = 11c^3$

Thus $\text{ GCF of } 44c^5, 22c^3 , 11c^4 \text{ is } 11c^3$

8 0

3 years ago

What soulution is true for x/3=1/4

andreyandreev [35.5K]

Answer:

x=3/4

Step-by-step explanation:

x/3=1/2^2

4x=3

4x/4=3/4

x=3/4

8 0

3 years ago

On a certain hot summer's day, 581 people used the public swimming pool. The daily prices are $1.50 for children and $2.50 for

Tanya [424]

Answer:

A = 219

C = 362

Step-by-step explanation:

Given,

581 = C + A

and

$1090.50 = 1.5C + 2.5A

solve 1st for A

A =581 - C

substute into 2nd

1090.50 = 1.5C + 2.5(581 - C)

solve for C

1090.50 = 1.5C + 1452.50 - 2.5C

1090.50 = -C + 1452.50

1090.50 - 1452.50 = -C

-362 = -C

C = 362

then

581 = C + A

581 = 362 + A

219 = A

A = 219

8 0

2 years ago

What's 6 / 3 and 13 divided by 1at 3

Korvikt [17]

Answer:

Step-by-step explanation:

5 0

3 years ago

How do you factor this equation? 7x²+5x-3

svetoff [14.1K]

Answer:

Step-by-step explanation:

This is a quadratic expression. Use the quadratic formula to find the roots, and then once you have the roots, write the corresponding factors.

The coefficients of this quadratic expression are a = 7, b = 5 and c = -3

The discriminant is b^2 - 4ac, or 5^ - 4(7)(-3), or 25 + 84 = 109. Because this is positive, we know that the expression has two unequal, real roots.

Using the quadratic formula, we now find these roots:

-b ± √(discriminant)

x = -------------------------------- which here is:

-5 ± √109

x = -----------------

The factors can be found from these two roots. The first one is

-5 - √109 5 + √109

(x - ---------------- ) = (x + ---------------- )

14 14

and the second is

5 - √109

(x + ---------------- )

8 0

3 years ago