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3 years ago

Would be great if someone explained this

Mathematics

1 answer:

sasho [114]3 years ago

5 0

A. 2.

A radical is an expression which implies the use of a root.

There are three components of a radical expression:

(i) The root "√".

(ii) The radicand √"a".

(iii) The degree or index of the radical $\sqrt["n"]{a}$ , when index of the radical is not shown then it understood to be a index of 2.

The index is the number used to indicate the degree of the root.

For the example $\sqrt{10}$ , 10 is the radican and the index is not shown so it understood is 2.

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Please help asap 25 pts + brainliest to right/best answer

patriot [66]

Look at the picture.

<h3>Answer: d. (-3, 1)</h3>

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4 years ago

I WILL MARK AS BRAINLIEST! Simplify

aev [14]

A. 40
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3 years ago

Read 2 more answers

In 1990, Dawn gross pay was $48,000.

forsale [732]

A. Dawn's gross monthly pay is $4,000 ($48,000/12).

B. The month that Dawn hit her maximum taxable Social Security Income is May (5 months from January to May).

C. In February, 1978, Dawn paid $260 in Social Security Tax.

D. In May, 1978, Dawn paid $110.50 in Social Security Tax, which represented the balance.

E. In November, 1978, Dawn paid $0 in Social Security Tax because by May she had completely paid the maximum Social Security Tax of $1,150.50.

<h3>Data and Calculations:</h3>

Gross earnings in 1990 = $48,000

Maximum taxable income in 1990 = $17,700

Social Security Tax Rate = 6.5%

Gross monthly pay = $4,000 ($48,000/12)

Monthly Social Security Tax = $260 ($4,000 x 6.5%)

Total Social Security Tax = $1,150.50 ($17,700 x 6.5%)

In 5 months, Dawn would have paid a total of $1,150.50 ($260 x 4 + $110.50) in Social Security Tax.

Thus, the total Social Security Tax paid by Dawn in that year was $1,150.50.

Learn more about Social Security Tax here: brainly.com/question/9741758

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2 years ago

Write a quadratic equation given the roots -1/3 and 5, show your work

Travka [436]

$\boxed{(x - a)(x - b) = 0}$

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

$x = - \frac{1}{3} \\ x = 5$

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

$(x + \frac{1}{3} )(x - 5) = 0$

Here we can convert the expression x+1/3 to this.

$x + \frac{1}{3} = 0 \\ 3x + 1 = 0$

Rewrite the equation.

$(3x + 1)(x - 5) = 0$

Simplify by multiplying both expressions.

$3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0$

Answer Check

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

$3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0$

The equation is true for both roots.

Answer

$\large \boxed {3 {x}^{2} - 14x - 5 = 0}$

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3 years ago

7 - 12c = 43 show work and check plz

Svetradugi [14.3K]

The answer is -3

-12c = 43 - 7
-12c = 36
÷ -12 ÷-12
c = -3

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3 years ago