The amount of attendance at a dinner must go from being 57 people to 65 people. What is the percent of change

Which expression is equivalent to 4 + 3 (5 + ×)

Deffense [45]

Step-by-step explanation:

$4 + 3(5 + x)\\4 + (3 * 5 ) + (3 * x)\\4 + 15 + 3x$

4 0

2 years ago

Read 2 more answers

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!! I NEED TO FINISH THESE QUESTIONS BEFORE MIDNIGHT TONIGHT.

Lina20 [59]

Yo sup??

we can solve this question by applying trigonometric ratios

cos59=CB/CD

CD=CB/cos59

=7.8

Hope this helps.

7 0

2 years ago

(6y + 3) minus (3y + 6) when y=7

never [62]

Answer:

y

Step-by-step explanation:

((((2•3y3) - 22y2) - 3y) - —) - 2

y

STEP

4

:

Rewriting the whole as an Equivalent Fraction

4.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using y as the denominator :

6y3 - 4y2 - 3y (6y3 - 4y2 - 3y) • y

6y3 - 4y2 - 3y = —————————————— = ————————————————————

1 y

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

STEP

5

:

Pulling out like terms

5.1 Pull out like factors :

6y3 - 4y2 - 3y = y • (6y2 - 4y - 3)

Trying to factor by splitting the middle term

5.2 Factoring 6y2 - 4y - 3

The first term is, 6y2 its coefficient is 6 .

The middle term is, -4y its coefficient is -4 .

The last term, "the constant", is -3

Step-1 : Multiply the coefficient of the first term by the constant 6 • -3 = -18

Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is -4 .

-18 + 1 = -17

-9 + 2 = -7

-6 + 3 = -3

-3 + 6 = 3

-2 + 9 = 7

-1 + 18 = 17

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Adding fractions that have a common denominator :

5.3 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

y • (6y2-4y-3) • y - (6) 6y4 - 4y3 - 3y2 - 6

———————————————————————— = ———————————————————

y y

Equation at the end of step

5

:

(6y4 - 4y3 - 3y2 - 6)

————————————————————— - 2

y

STEP

6

:

Rewriting the whole as an Equivalent Fraction :

6.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using y as the denominator :

2 2 • y

2 = — = —————

1 y

Checking for a perfect cube :

6.2 6y4 - 4y3 - 3y2 - 6 is not a perfect cube

Trying to factor by pulling out :

6.3 Factoring: 6y4 - 4y3 - 3y2 - 6

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -3y2 - 6

Group 2: 6y4 - 4y3

Pull out from each group separately :

Group 1: (y2 + 2) • (-3)

Group 2: (3y - 2) • (2y3)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

6.4 Find roots (zeroes) of : F(y) = 6y4 - 4y3 - 3y2 - 6

Polynomial Roots Calculator is a set of methods aimed at finding values of y for which F(y)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers y which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 6 and the Trailing Constant is -6.

The factor(s) are:

of the Leading Coefficient : 1,2 ,3 ,6

of the Trailing Constant : 1 ,2 ,3 ,6

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 1.00

-1 2 -0.50 -5.88

-1 3 -0.33 -6.11

-1 6 -0.17 -6.06

-2 1 -2.00 110.00

Note - For tidiness, printing of 13 checks which found no root was suppressed

Polynomial Roots Calculator found no rational roots

Adding fractions that have a common denominator :

6.5 Adding up the two equivalent fractions

(6y4-4y3-3y2-6) - (2 • y) 6y4 - 4y3 - 3y2 - 2y - 6

————————————————————————— = ————————————————————————

y y

Polynomial Roots Calculator :

6.6 Find roots (zeroes) of : F(y) = 6y4 - 4y3 - 3y2 - 2y - 6

See theory in step 6.4

In this case, the Leading Coefficient is 6 and the Trailing Constant is -6.

The factor(s) are:

of the Leading Coefficient : 1,2 ,3 ,6

of the Trailing Constant : 1 ,2 ,3 ,6

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 3.00

-1 2 -0.50 -4.88

-1 3 -0.33 -5.44

-1 6 -0.17 -5.73

-2 1 -2.00 114.00

Note - For tidiness, printing of 13 checks which found no root was suppressed

Polynomial Roots Calculator found no rational roots

Final result :

6y4 - 4y3 - 3y2 - 2y - 6

————————————————————————

y

4 0

2 years ago

Read 2 more answers

For what value of b makes this equation true? (Solve for b)<br> b +9 = -2

neonofarm [45]

━━━━━━━☆☆━━━━━━━

▹ Answer

▹ Step-by-Step Explanation

b + 9 = -2

-9 -9

b = -2 - 9

b = -2 + -9

b = -11

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

7 0

3 years ago

Read 2 more answers

Match each question to the correct problem.

Maslowich

<h2>Answer:</h2>

<em>(Check attached images).</em>

<h2>Step-by-step explanation:</h2>

<h3>Exercise 1.</h3>

a. Convert to decimals.

To order the numbers from least to greaters, convert them to decimals and compare.

$5.2(percent)=0.052\\ \\\frac{1}{7} =0.1429\\\\ -0.8=-0.8000\\ \\\frac{-11}{5} =-2.2$

b. Select the second least number.

-0.8.

<h3>Exercise 2.</h3>

a. Convert to decimals.

$-3.4(percent)=-0.034\\ \\-0.031\\\\ -0.2\\ \\-\sqrt{0.8}= -0.8944$

b. Select the correct number.

$-\frac{1}{5}$ .

<h3>Exercise 3.</h3>

a. Convert to decimals.

<em>After seeing that there are negative and positive numbers, and with the premise that negative numbers are </em><u><em>always</em></u><em> lesser than positive numbers, we'll only compare the positive numbers.</em>

<em />

b. Select the correct number.

3/5.

<h3>Exercise 4.</h3>

a. Convert to decimals.

-0.35

-3.5%= -0.035

b. Conclude.

Seeing that -3.5% is less than -0.35, the symbol that makes the statement true is ">".

<h3>Exercise 5.</h3>

a. Try to visually estimate b.

B appears to have a value of -0.9.

b. Convert the numbers to decimals.

-3.4%= -0.034

-0.031

-1/5= -0.2

$-\sqrt{0.8}= -0.8944$

c. Select the correct answer.

<em>Since we estimated the value of b as -0.9, the number that best adequates to its value is </em> $-\sqrt{0.8}$ .

<h3>Exercise 6.</h3>

a. Convert to decimals.

<em>After seeing that there are negative and positive numbers, and with the premise that negative numbers are </em><u><em>always</em></u><em> lesser than positive numbers, we'll only compare the positive numbers.</em>

5.2%= 0.052

1/7= 0.1429

b. Select the correct number.

5.2% is the second largest.

<h3>Exercise 7.</h3>

a. Convert to decimals.

6/7= 0.857143

0.857

b. Select the correct answer.

Seeing that 0.857 is marked as an approximate by the

ellipsis, and considering that 6/7 is an irrational numbers, we can conclude that the number that better fits the situation and makes the statement true is "=".

<h3>Exercise 8.</h3>

a. Convert to decimals.

<em>After seeing that there are negative and positive numbers, and with the premise that negative numbers are </em><u><em>always</em></u><em> lesser than positive numbers, we'll only compare the negative numbers.</em>

<em /> $-\sqrt{21} =-4.5826$

b. Select the correct answer.

The smallest number is -4.6.

7 0

1 year ago