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3 years ago

Pls help I will mark brainlist if correct!! :)

Mathematics

1 answer:

Bezzdna [24]3 years ago

8 0

Answer:

Step-by-step explanation:

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Use the least common denominator to write an equivalent fraction for each fraction. 2 6 , 7 8 The least common denominator is 24

seraphim [82]

Answer:

2/6 = 48/144

7/8 = 168/192

Step-by-step explanation:

Use the least common denominator to write an equivalent fraction for each fraction. 2/6 , 7/8 The least common denominator is 24 .

2/6 can be rewritten as __

We Multiply both numerator and Denominator by 24

48/144

7/8 can be rewritten as __

We Multiply both numerator and Denominator by 24

168/192

8 0

3 years ago

Given <img src="https://tex.z-dn.net/?f=f%28x%29%20%3Dx%5E2%20-6x%2B8%20and%20g%28x%29%20%3Dx-2" id="TexFormula1" title="f(x) =x

Eva8 [605]

For this case we have the following functions:

$f (x) = x ^ 2-6x + 8\\g (x) = x-2$

We must subtract the functions:

$f (x) -g (x) = x ^ 2-6x + 8- (x-2)\\f (x) -g (x) = x ^ 2-6x + 8-x + 2\\f (x) -g (x) = x ^ 2-7x + 10$

We build a table of values for $x = 0,1,2,3.$

$x = 0, f (x) -g (x) = 0 ^ 2-7 (0) + 10 = 10\\x = 1, f (x) -g (x) = 1 ^ 2-7 (1) + 10 = 1-7 + 10 = 4\\x = 2, f (x) -g (x) = 2 ^ 2-7 (2) + 10 = 4-14 + 10 = 0\\x = 3, f (x) -g (x) = 3 ^ 2-7 (3) + 10 = 9-21 + 10 = -2$

Answer:

$f (x) -g (x) = x ^ 2-7x + 10$

8 0

3 years ago

The sum of three consecutive odd integers is 69. find the integers

Marta_Voda [28]

Let the integers be x-2, x, x+2.

Given,

x -2 + x + x + 2 = 69

3x = 69

x = 23

Hence, the integers are 21, 23 and 25.

6 0

3 years ago

In Exercises 10 and 11, points B and D are points of tangency. Find the value(s) of x.<br>

Lemur [1.5K]

In both cases,

$AB^2=AD^2$

(as a consequence of the interesecting secant-tangent theorem)

So we have

10.

$(4x+7)^2=(6x-3)^2$

$16x^2+56x+49=36x^2-36x+9$

$20x^2-92x-40=0$

$5x^2-23x-10=0$

$(5x+2)(x-5)=0\implies\boxed{x=5}$

(omit the negative solution because that would make at least one of AB or AD have negative length)

11.

$(4x^2-18x-10)^2=(x^2+x+4)^2$

$16x^4-144x^3+244x^2+360x+100=x^4+2x^3+9x^2+8x+16$

$15x^4-146x^3+235x^2+352x+84=0$

$(x-7)(3x+2)(5x^2-17x-6)=0\implies\boxed{x=-\dfrac23\text{ or }x=7}$

(again, omit the solutions that would give a negative length for either AB or AD)

7 0

3 years ago

HEEEEEEELP ASAP Janette went to Tire Mart and paid $122.57 per tire for 4 tires and a flat rate fee for installation for a total

Oduvanchick [21]

$122.57 • 4 + $555.28 = $1,045.56

$136.71 • 4 + $585.34 = $1,132.18

$1,132.18 - $1,045.56 = $86.62

6 0

3 years ago