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dolphi86 [110]
3 years ago
8

Find the value of the greater root of x^2 + 10x + 24x = 0 a) -6 b) -4 c) 4 d) 6

Mathematics
2 answers:
Vanyuwa [196]3 years ago
7 0

Answer:

B

Step-by-step explanation:

We have the equation:

x^2+10x+24=0

We can factor:

(x+6)(x+4)=0

By the Zero Product Property:

x+6=0\text{ or } x+4=0

Solve:

x=-6\text{ or } x=-4

-4 is greater than -6, so -4 is the greater root.

Our answer is B.

Lubov Fominskaja [6]3 years ago
3 0

what formula is applied, I mean what method

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Sally is having a problem with her puppy leaving the yard so she decides to build a new fence. The length of the yard is 8 feet
Rufina [12.5K]

Please check the attached file for the diagram of Sally's yard.

Let w be the width of the yard.

Let l be the length.

We are given that the length of the yard is 8 feet more than 4 times the width. Let us convert this into a mathematical equation.

4 times the width will be 4w. Now, 8 feet, or 8 more than 4 times the width will be 4w+8. We know that this is the value of the length of the yard and thus we can write this as:

l=4w+8

As we can see we have found the relationship between the length, l and the width, w of the yard.

We have been told that the total length of the fence required for the yard is 106 feet. This obviously means that the perimeter of the rectangular yard is 106 feet.

Now, we know that the perimeter of a rectangle is given by:

Perimeter=2(l+w)=2((4w+8)+w) this is because we know that the length, l is given by l=4w+8.

Continuing further we get:

106=8w+16+2w=10w+16 This is because Perimeter=length of the fence=106 (given)

Therefore, 10w=90

or, w=9 so, we just now found the width of the yard which is 9 feet. We are required to find the length. We can easily find the length using the relationship between w and l which is:

l=4w+8 giving us:

l=4\times9+8=44

Thus the length of the fence is 44 feet.

5 0
3 years ago
heavy rain in oxford caused the creek to rise. the creek rose 3 inches the first day, and each day twice as much as the previous
Fittoniya [83]

48 inches???

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Wayne bought blueberries. He uses 3/8 of the blueberries to make blueberry bread, 1/6 of the blueberries to make pancakes, and 5
yKpoI14uk [10]

Answer:

Wayne bought 72 blueberries.

Step-by-step explanation:

To combine the fractions, convert all of the fractions to a denominator of 24.

3/8 * 3/3 = 9/24

1/6 * 4/4 = 4/24

5/12 * 2/2 = 10/24

Now add together the fractions

9/24 + 4/24 + 10/24 = 23/24

He used 23/24 of his blueberries, or 69 of them.

To find the total amount of blueberries, divide 69 by 23, then multiply that number b 24.

69 / 23 = 3

3 * 24 = 72

Wayne bought 72 blueberries.

6 0
3 years ago
Read 2 more answers
Find the intersection points of the linear and quadratic functions shown below f(x)=2x-5 g(x)= x2+2x-21
Mice21 [21]

Answer:

(-4,-13) and (4,3) the intersection points.

Step-by-step explanation:

Intersection point of two functions is a common point which satisfies both the functions.

Given functions are,

f(x)=2x-5

g(x)=x^2+2x-21

For a common point of these functions,

f(x)=g(x)

2x-5=x^2+2x-21

-5=x^2-21

0=x^2-16

x^2=16

x=-4,4

For x=-4,

f(-4)=g(-4)=2(-4)-5

                       =-13

For x=4,

f(4)=g(4)=2(4)-5

                  =3

Therefore, (-4,-13) and (4,3) the intersection points.

3 0
2 years ago
#2) Jane wants to have a test average of at least 78.
Vlad [161]
She would have to score atleast a 74 on the test for her average to be 78
5 0
2 years ago
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