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1 year ago

Given: x-8> -3.

Mathematics

1 answer:

Ratling [72]1 year ago

6 0

Solution set for x - 8 > -3 will be [ x|x E R, x > 5 ] --(option 3)

We have given rule x - 8 > -3.

Adding 8 on both side of given rule.

∴ x - 8 + 8 > -3 + 8

By Simplification of given rule.

∴ x > 5

<h3>Solution set : -</h3>

The solution set of an inequality is the set of all solutions. An inequality usually has an infinite number of solutions, and the set of solutions can be easily written using interval notation.

A solution set is the set of all variables that makes the equation true.

Here as given solution set will be all the numbers greater that 5 excluding 5.

∴ Solution set will be [ x|x E R, x > 5 ] --(option 3)

To know more about solution set visit the link given below

brainly.com/question/98367

#SPJ13

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A total of 123 fifth-grade students are going to ford Verde state historic park each bus holds 38 students all of the buses are

FromTheMoon [43]

Hi Lala4eva54,

Your Question:

A total of 123 fifth-grade students are going to ford Verde state historic park each bus holds 38 students all of the buses are full Except one how many students will be in the bus that is not feel.

Solution:

123 / 38 = 3.236.....

38 x 3 = 114

123 - 114 = 9

Answer:

There will be 9 students in the bus thats not full.

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3 years ago

Solve the quadratic equation 6x2 + 1 = 5x. Show your work.

Artyom0805 [142]

Answer:

<h2>Factors = (3x - 1) (2x - 1)</h2><h2>values :- x = 1/3 , 1/2</h2>

Step-by-step explanation:

= > 6x^2 + 1 = 5x

• Bring it in the standard form,

= > 6x^2 - 5x + 1 = 0

= > 6x^2 - (3 + 2)x + 1 = 0

= > 6x^2 - 3x - 2x + 1 = 0

• Take out common

= > 3x (2x - 1) - 1 (2x - 1) = 0

= > (3x - 1) (2x - 1) = 0...factors

= > x = 1/3 and 1/2... values of x

<h2>Hope it helps you!! </h2>

7 0

2 years ago

If 1/2 gallon of paint covers 1/12 of a wall then how much paint is needed for the entire wall

netineya [11]

1/2 gallon of paint covers 1/12 of a wall , 12 times as much paint will cover 12 times the area you can solve this by 12*1/2=6.

5 0

3 years ago

Choose the graphic representation of the quadratic function f(x) = x2 – 8x + 24.

larisa86 [58]

Refer the attached figure for the graphic representation of the given quadratic equation.

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

Given expression:

$f(x)=x^{2}-8 x+24$

To find:

The graphic representation of the given quadratic function

For solution, plot the graph to the given quadratic equation.

The standard form of the equation is

$y=a x^{2}+b x+c$

When comparing with given quadratic equation,

a = 1, b = - 8, c = 24

Axis of symmetry is $x=\frac{-b}{2 a}$

By applying the values, the axis of symmetry of given equation is

$x=\frac{-(-8)}{2(1)}=4$

The vertex form of quadratic equation is $f(x)=a(x-h)^{2}+k$

Where, (h,k) are the vertex.

Convert the quadratic equation into vertex form.

By completing the square,

$f(x)=x^{2}-8 x+24$

$f(x)=\left(x^{2}-2(4) x+4^{2}\right)-4^{2}+24$

$f(x)=(x-4)^{2}+8$

On comparison,

(h , k) = (4 , 8)

Now, plot the equation with vertex (4,8) [refer attached figure].

4 0

3 years ago

Please help..click on picture...I rrally need help

Alekssandra [29.7K]

So the students are on 5:6 ratio from volleyball to football, and we know there are 220 students in total.

$\bf \cfrac{volleyball}{football}\qquad 5:6\qquad \cfrac{5}{6}\implies \cfrac{5\cdot \frac{220}{5+6}}{6\cdot \frac{220}{5+6}}\implies \cfrac{5\cdot 20}{6\cdot 20}\implies \cfrac{100}{\stackrel{football}{120}}$

8 0

3 years ago