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2 years ago

What two numbers add to 9 and multiply to -70

1 answer:

4 0

X, y - the numbers

The numbers add to 9 and multiply to -70.
$x+y=9 \\
xy=-70 \\ \\
y=9-x \\
xy=-70 \\ \\
\hbox{substitute 9-x for y in the second equation:} \\
x(9-x)=-70 \\
9x-x^2=-70 \\
-x^2+9x+70=0 \\
-x^2+14x-5x+70=0 \\
-x(x-14)-5(x-14)=0 \\
(-x-5)(x-14)=0 \\
-x-5=0 \ \lor \ x-14=0 \\
x=-5 \ \lor \ x=14 \\ \\
y=9-x \\
y=9-(-5) \ \lor \ y=9-14 \\
y=14 \ \lor \ y=-5 \\ \\
(x,y)=(-5,14) \hbox{ or } (x,y)=(14,-5)$

The numbers are -5 and 14.

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Jack is building 5 raised garden beds in a community garden each raised garden bed will need 178 bag of soil how many bags of so

dsp73

Answer:

890

Step-by-step explanation:

5 raised garden beds will need 178×5=890 bags of soil

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2 years ago

PLEASE HELP!!!! Kelly earns 20% more than Scott, and together they earn $1210.00 per week. How much does Kelly earn per week?

wolverine [178]

Answer:

20/100x1210

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3 years ago

Jaden can read 18 pages in 1/3 of an hour. How many pages can he read in 2 hours

algol [13]

Answer is 108 pages. 1/3 of an hr is 20 min. 20*3=60 which is an hr. 3+3=6. So then you get 6*18=108.

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2 years ago

One year Ron had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched)

Arada [10]

Answer:

Ron's ERA has a z-score of -2.03.

Karla's ERA has a z-score of -1.86.

Due to the lower z-score, Ron had a better yean than Karla relative to their peers.

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

Since the lower the ERA, the better the pitcher, whoever's ERA has the lower z-score had the better year relative to their peers.

Ron

ERA of 3.06, so $X = 3.06$

For the males, the mean ERA was 5.086 and the standard deviation was 0.998. This means that $\mu = 5.086, \sigma = 0.998$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{3.06 - 5.086}{0.998}$

$Z = -2.03$

Ron's ERA has a z-score of -2.03.

Karla

ERA of 3.28, so $X = 3.28$

For the females, the mean ERA was 4.316 and the standard deviation was 0.558. This means that $\mu = 4.316, \sigma = 0.558$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{3.28 - 4.316}{0.558}$

$Z = -1.86$

Karla's ERA has a z-score of -1.86.

Which player had the better year relative to their peers, Ron or Karla?

Due to the lower z-score, Ron had a better yean than Karla relative to their peers.

5 0

2 years ago

Live Fund are selling their holding at $5,000 per share.How much would Live Fund receive it they sold half thier holding in Mark

zhannawk [14.2K]

Live Fund receive $\bold{\$2500 A}$ it they sold half thier holding in Marks Brothers.

<u>Solution:</u>

Given: Sale price of Live Fund holding = 5000 dollar

To find: Amount that Live Fund will get if they sell half of their holding in Marks Brothers.

Assume the total number of shares held by Live Fund in Marks Brothers as A

Therfore, half the holdings (or half the number of shares) of Live Fund will be $\frac{A}{2}$ .

Thus, if each share is valued at $\$5000$ , then the total value of the number of shares sold will be as follows,

$\Rightarrow5000\times\frac{A}{2}\text{ dollars }\rightarrow\frac{5000\times A}{2}\text{ dollars }$

$\Rightarrow2500 A\text{ dollars }$

Hence, Live Fund will receive $\$2500 A$

5 0

3 years ago