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4 years ago

Factor 64f - 64g + 96 to identify the equivalent expressions.

Mathematics

2 answers:

hoa [83]4 years ago

7 0

Answer:

8 (8f - 8g + 12)

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solong [7]4 years ago

5 0

Answer:

32(2f - 2g + 3) is also equivalent to

64f - 64g + 96

Step-by-step explanation:

This problem bothers on factorization of linear expression

Step one

For the expression

64f - 64g + 96 to

In other to find its equivalent we need to look for a common factor for all the terms in the bracket and divide through by that factor

By inspection the common factor is 32

Step two

by bringing 32 out from all terms we have

32(2f - 2g + 3)

Hence the expression

32(2f - 2g + 3) is also equivalent to

64f - 64g + 96 to

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A grocery store sells a bag of 7 oranges for $2.80. What is the unit cost?

Elanso [62]

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4. 88 can also be written as 4 × 22 and √4 = 2. So x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4. x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .

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6 0

3 years ago

Read 2 more answers

PLZ HELP ASAP.....Your dad is researching landscaping companies to come put new mulch out for the year. The first company charge

Blizzard [7]

Answer: After 5 bags of mulch, the cost for both companies will be the same.

Step-by-step explanation:

The cost for Company can be represented by the equation: y= 10m+100

The cost for Company B can be represented by the equation: y= 30m

To find the amount of mulch, their cost needs to be the same, I will solve for m

10m+100=30m

-10m 10m

100=20m

Divide both side by 20

100/20=20m/20

5=m or m=5

So after 5 bags of mulch, the total cost for both companies is the same.

6 0

4 years ago

Please help On a coordinate plane, a point is 4 units to the left and 1 unit down.

Naily [24]

Answer:

assuming that you start at the origin (0,0)

(-4,-1) would be the poiny

x coord = -4

y coord = -1

the point is in the 3 quadrant

Step-by-step explanation:

6 0

3 years ago

Q10: Determine the eccentricity, the type of conic, and the directrix for r = 11/6-5cos theta.

Marta_Voda [28]

Answer:

Eccentricity = 5/6

Type of conic section; Ellipse

Directrix; x = -11/5

Step-by-step explanation:

The first step would be to write the polar equation of the conic section in standard form by multiplying the numerator and denominator by 1/6;

$r=\frac{\frac{11}{6} }{1-\frac{5}{6}cos theta }$

The polar equation of the conic section is now in standard form;

The eccentricity is given by the coefficient of cos theta in which case this would be the value 5/6. Therefore, the eccentricity of this conic section is 5/6.

The eccentricity is clearly between 0 and 1, implying that the conic section is an Ellipse.

Since the conic section is in standard form, the numerator is the product of eccentricity and the value of the directrix, that is;

e*d = 11/6

5/6*d = 11/6

d = 11/5

Since the denominator has a minus sign then the ellipse opens towards the right and thus the equation of its directrix is;

x = -11/5

3 0

3 years ago

Read 2 more answers

In the interval 0° < x < 360°, find the values of x for which sin x = 0.6691 Give your answer tot he nearest degree

Neporo4naja [7]

Answer:

x are 42 and 138degees

Step-by-step explanation:

Given the expression sin x = 0.6691

sin x = 0.6691

Take the sin inverse of both sides

sin⁻¹(sin x) = sin⁻¹(0.6691 )

x = sin⁻¹(0.6691 )

x = 41.99

x = 42 degrees (to the nearest degree)

Since sin theta is positive in the second quadrant;

x = 180 -theta

x = 180 - 42

x = 138degrees

Hence the value of x are 42 and 138degees

8 0

3 years ago