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2 years ago

Solve the inequality for x. -24 > x +4

Mathematics

1 answer:

Morgarella [4.7K]2 years ago

3 0

Step-by-step explanation:

$- 24 > x + 4$

$- 28 > x$

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Find the equation that has a slope of - 1/8 and passes through the point (0.-4)

nikdorinn [45]

Answer:

ez, answer choice number 4

Step-by-step explanation:

y=-1/8x(this is the slope) -4(this is the y intercept

4 0

3 years ago

Each cube in this figure measures 1 centimeter on each side.

Zanzabum

Answer:

84 cm cubed

Step-by-step explanation:

length is 4 and width is 7 and the height is 3 so it is 4*3*7 which is equal to 84

5 0

3 years ago

Read 2 more answers

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

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

8 0

2 years ago

You are in talks to settle a potential lawsuit. The defendant has offered to make annual payments of $15,000, $25,000, $40,000,

Sphinxa [80]

Answer:

All payments will be made at the end of the year by using the present value of inflows

Step-by-step explanation:

Present Value Of Inflows = Cash Inflow × Present Value Of Discounting Factor (Rate%,Time Period)

Present Value Of Inflows = $15000/1.037$ + $25000/1.037^{2}$ + $40000/1.037^{3}$ + $60000/1.037^{4}$

Present Value Of Inflows = 125466.3

8 0

3 years ago

What is the value for y? Enter your answer in the box. y=

serious [3.7K]

Answer:

$y =112$

Step-by-step explanation:

Given

The attached triangle

Required

Find y

The attached triangle is isosceles; so:

$x - 5=34$

Also, we have:

$y + x - 5 + 34=180$ --- angles in a triangle

Substitute: $x - 5=34$

$y + 34 + 34=180$

Collect like terms

$y =- 34 - 34+180$

$y =112$

5 0

3 years ago