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2 years ago

13

Find the missing value.

1 answer:

ioda2 years ago

8 0

Answer:

6

<h2>I hope this helped</h2>

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Tracy ran a lap around the school track in 74.2 seconds. Malcolm ran a lap in 65.92 seconds. Estimate the difference in the time

Finger [1]

Answer:

8.28 is the difference in times in which the students completed the lap.

Step-by-step explanation:

Subtract 74.20 and 65.92 and that gives you your answer.

5 0

2 years ago

Find an m > 0 such that the the equation x^4−(3m+2)x^2+m^2=0 has four real solutions that form an arithmetic sequence.

Aleonysh [2.5K]

Answer:

The value of m is 6.

Step-by-step explanation:

Here, the given equation,

$x^4-(3m+2)x^2+m^2=0$

$x^4+0x^3-(3m+2)x^2+0x+m^2=0$

Let the roots of the equation are a-3b, a-b, a+b and a + 3b, ( they must be form an AP )

Thus, we can write,

$a-3b+a-b+a+b+a+3b=\frac{\text{coefficient of }x^3}{\text{coefficient of }x^4}$

$=\frac{0}{1}=0$

$\implies a=0----(1)$

$(-3b)(-b)+(-b)(b)+(b)(3b)+(3b)(-3b)+(-b)(3b)+(-3b)(b)=\frac{\text{coefficient of }x^2}{\text{coefficient of }x^4}}$

$=\frac{-3m-2}{1}$

$3b^2-b^2+3b^2-9b^2-3b^2-3b^2=-3m-2$

$-10b^2=-3m-2$

$\implies b^2=\frac{3m+2}{10}-----(2)$

$(-3b)(-b)(b)(3b)=\frac{\text{Constant term}}{\text{coefficient of}x^4}= m^2$

$9b^4=m^2$

$9(\frac{3m+2}{10})^2=m^2$

$9(\frac{9m^2+4+12m}{100})=m^2$

$81m^2+36+108m=100m^2$

$-19m^2+108m+36=0$

$19m^2-108m-36=0$

$19m^2-114m+6m-36=0$

$19m(m-6)+6(m-6)=0$

$(19m+6)(m-6)=0$

$\implies m=-\frac{6}{19}\text{ or }m=6$

But m > 0,

Hence, the value of m is 6.

4 0

2 years ago

Choose the equation that is the standard form of

Ronch [10]

For this case we have the following equations:
5y = 3-2x
5y-3 = -2x
2x + 5y = 3
2x + 5y-3 = 0
The standard form of the equations is given by:
Ax + By = C
Therefore, the equation written in its standard form is:
2x + 5y = 3
Where,
A = 2
B = 5
C = 3
Answer:
The equation that is the standard form is:
2x + 5y = 3

7 0

2 years ago

BJs sells apples in 3.5-pound bags. They sell 45 bags of apples each day. How many pounds of apples does BJs sell in 1 week? BJs

Tom [10]

Answer:

1102.5 pounds of apples will be sold in a week.

Step-by-step explanation:

Amount of apples in each bag = 3.5 pounds

If BJs sells 45 bags each day, amount of apples sold = 3.5 × 45

= 157.5 pounds

Number of days in a week = 7

Amount of apples sold in one week = Apples sold in a day × Number of days in a week

Amount of apples sold in 7 days = 157.5 × 7

= 1102.5 pounds

Therefore, amount of apples sold in a week = 1102.5 pounds

6 0

2 years ago

A mattress store is having a sale all mattresses are 30% of. Nate wants to know the sale price of a mattress that is regularly $

koban [17]

Answer: $700

Step-by-step explanation:

The store is selling at 30% off.

If a mattress is $1,000, first find out what 30% of $1,000 is:

= 1,000 * 30%

= $300

The store is selling 30% off, this means that they are reducing the price by 30%:

= 1,000 - 300

= $700

5 0

1 year ago