A company made $4 million in the second quarter. This is 1/3 more than it made in the first quarter

Plz help I have no idea how to answer it

saveliy_v [14]

5. Answer: see explanation

Step-by-step explanation:

If the roots are m and 3m, then x = m and x = 3m

⇒ x - m = 0 and x - 3m = 0

⇒ (x - m)(x - 3m) = 0

⇒ x² - 4mx + 3m² = 0

Since x² + px + q = 0 then p = -4m and q = 3m²

3p² = 3(-4m)² 16q = 16(3m²)

= 3(16m²) = 48m²

= 48m²

3p² = 48m² = 16q ⇒ 3p² = 16q

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6. Answer: 8 or 18

Step-by-step explanation:

The Area of the entire rectangle (A = L × w) is 12 × 10 = 120

The Area of the shaded region is 72, so the Area of the non-shaded region is 120 - 72 = 48.

There are two non-shaded triangles.

Bigger non-shaded Δ: L = 12-x, w = 10 ⇒ $A = \dfrac{10(12-x)}{2}$
Smaller non-shaded Δ: L = x, w = x ⇒ $A=\dfrac{x(x)}{2}$

Combine the Areas of both triangles and set it equal to the Area of the non-shaded region:

$\dfrac{x(x)}{2}+\dfrac{10(12-x)}{2}=48\\\\\\\dfrac{x^2}{2}+\dfrac{120-10x}{2}=48\\\\\\\dfrac{x^2-10x+120}{2}=48\\\\\\x^2-10x+120=96\\\\x^2-10x+24=0\\\\(x-4)(x-6)=0\\\\x - 4 = 0\quad or\quad x-6=0\\x=4\qquad or\qquad x=6\\\\\text{Based on the image provided, it appears that the x-value will be the}\\\text{smallest of the two possible solutions (4), but both solutions are valid.}$

Area of ΔBEF:

$\text{when x = 4, A =}\ \dfrac{4(4)}{2}=\dfrac{16}{2}=8\\\\\\\text{when x = 6, A =}\ \dfrac{6(6)}{2}=\dfrac{36}{2}=18$

5 0

3 years ago

Erica planted 9 seeds each in 2 big pots. She planted another 59 seeds, one in each small pot. How many seeds did she plant in a

levacccp [35]

Answer:

77 seeds

Step-by-step explanation:

Given that:

Number of seed planted in each big pot = 9

Number of big pots = 2

Total number of seeds planted in bigbpot:

Number of big pots * number of seed per pot

= 2 * 9 = 18 seeds

Total Number of seeds planted in small pot = 59 seed

Number of seeds planted in small pot + Number of seeds planted in big pot

59 seeds + 18 seeds

= 77 seeds

5 0

3 years ago

Please Answer

Zarrin [17]

Answer:

8 sq inches

Step-by-step explanation:

the label covers only one part of the juice box.

Area of juice label=area of rectangle

2 in*4 in=8 square inches.

3 0

4 years ago

According to a 2010 study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction.

lesya692 [45]

Answer:

Expected Number=71

Variance =4959

Standard Deviation= 70.42

Step-by-step explanation:

Expected Number = E (x) = np

Here p = 0.71 and q= 1- 0.71= 0.29 n= 100

Expected Number = E (x) = np = 0.71*100= 71

b) The Variance and Standard Deviation for the number of these tweets with no reaction

Suppose the number of tweets are hundred then the number of tweets with no reaction would be 71 .

Variance = E(x²) - [E(x)]² = (100)²- (71)²= 10000- 5041= 4959

Standard Deviation= √4959= 70.42

6 0

3 years ago

F(x)=x^2 g(x) = (x– 9)^2 +3 We can think of g as a translated (shifted) version of f.

Vinil7 [7]

Answer:

To get the function g, shift f up by 3 units and to the right by 9 units.

Step-by-step explanation:

The given functions are

$f(x)=x^2$

$g(x)=(x-9)^2+3$

If f(x) is a parent function, then g(x) can be written in the form of f(x) as

$g(x)=f(x-9)+3$ ...(1)

The translation is defined as

$g(x)=f(x+a)2+b$ ... (2)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

$a=-9,b=3$

It means, to get the function g, shift f up by 3 units and to the right by 9 units.

8 0

3 years ago