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2 years ago

The graph of y=x^2 +4x + 3 is shown

Mathematics

2 answers:

Kipish [7]2 years ago

6 0

Answer:

a) -2, -1

b) (-3,0) and (-1,0)

Phantasy [73]2 years ago

3 0

Answer

Step-by-step explanation:

b)x=-1,-3

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Joe can cut and split a cord of firewood in 3 fewer hours than Dwight can. When they work together, it takes them 2 hours. How

aalyn [17]

Answer:

Dwight will take 6 hours to finish the job alone and Joe will take 3 hours to finish the job alone.

Step-by-step explanation:

Let us assume the time taken by Dwight to split a cord of firewood = K hrs

So, the per hour rate of Dwight = $(\frac{1}{K})$

As, Joe uses 3 LESS hours then Dwight.

So, the time taken by Joe to split a cord of firewood = (K- 3) hrs

So, the per hour rate of Joe = $(\frac{1}{K-3})$

Now, when both of them wok together, it takes them 2 hours.

So, the per hour rate of BOTH of them = $(\frac{1}{2})$

⇒ Per hour rate of ( Dwight + Joe) = $(\frac{1}{2} )$

$\implies (\frac{1}{K}) + (\frac{1}{K-3}) = (\frac{1}{2})$

Now, solving for the value of K , we get:

$(\frac{1}{K}) + (\frac{1}{K-3}) = (\frac{1}{2})\\\implies \frac{(K-3) + K}{K (K-3)} = (\frac{1}{2})\\\implies 2(2K -3) = K^2 - 3K\\\implies k^2 - 3K -4K +6 = 0\\\implies K^2 - 7K + 6= 0\\\implies K^2 - 6K - K + 6= 0\\\implies K(K-6) -1(K - 6)= 0\\\implies (K-6)(K-1) = 0$

Implies either K = 6 Or K = 1

But if K = 1, (K-3) = 1- 3 = -2 hours would be A CONTRADICTION.

⇒ K = 6 hours

Hence, Dwight will take 6 hours to finish the job alone and Joe will take (k-3) = (6-3) = 3 hours to finish the job alone.

8 0

2 years ago

Land in downtown Columbia is valued at $10 a square foot. What is the value of a triangular lot with sides of lengths 119, 147,

stiks02 [169]

Answer:

$87,461

Step-by-step explanation:

Given that the dimensions or sides of lengths of the triangle are 119, 147, and 190 ft

where S is the semi perimeter of the triangle, that is, s = (a + b + c)/2.

S = (119 + 147 + 190) / 2 = 456/ 2 = 228

Using Heron's formula which gives the area in terms of the three sides of the triangle

= √s(s – a)(s – b)(s – c)

Therefore we have = √228 (228 - 119)(228 - 147)(228 - 190)

=> √228 (109)(81)(38)

= √228(335502)

=√76494456

= 8746.1109071 * $10

= 87461.109071

≈$87,461

Hence, the value of a triangular lot with sides of lengths 119, 147, and 190 ft is $87,461.

6 0

3 years ago

So a department store worker gets paid 325.00 per week plus 4% commission of their total sales if the worker sells 3600 of the m

MAXImum [283]

Answer:The amount of commission made is 144

Step-by-step explanation:

The department store worker gets paid 325.00 per week plus 4% commission of their total sales. This means that the worker's earning is not fixed. It varies with the amount of sales made

if the worker sells 3600 of the merchandise, it means that the worker's sales commission will be 4% of 3600 of the merchandise

Sales commission earned by the store worker = 4/100 × 3600

= 0.04 × 3600 = 144

6 0

3 years ago

Find the reference angle for 404 degrees

Hitman42 [59]

It would have to be 44°. If you go around 360° nothing happens. So subtract 404°-360° and you get 44°. 44°<90° from the x-axis so we are done.

3 0

3 years ago

What is the value of the question?

11Alexandr11 [23.1K]

The answer is 6. The first two absolute values cancel each other and subtracting a negative is adding.

8 0

2 years ago