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3 years ago

The sum of two numbers is 25. their product is 154

Mathematics

2 answers:

kolbaska11 [484]3 years ago

7 0

The two numbers are 14 and 11

kow [346]3 years ago

7 0

Let those numbers be a and b

a+b = 25 -----(i)
ab = 154 -----(ii)

from (ii)
a = 154/b

by substituting for "a" in (i)

a + b = 25
(154/b) + b = 25
( 154 + b^2)/b = 25
154 + b^2 = 25b
154 + b^2 -25b =0

now, arrange the terms

b^2 - 25b + 154 = 0
b^2 - 14b - 11b + 154 =0
b (b-14) -11 (b-14) =0
(b-11)(b-14)= 0

now find the value for b

b -11 =0
b = 11
and

b-14=0
b = 14

b equals either 14 or 11

and a = 154/b
if b = 11 then, a = 154/11 = 14
if b = 14 then, a = 154/14 = 11

so, the value of a and b are 11 and 14.

so, those numbers are 11 and 14.

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wolverine [178]

Answer:

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Step-by-step explanation:

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2 years ago

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Nat2105 [25]

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3 years ago

Find the measure of each angle indicated. 7) 920 A) 118° B) 92° C) 96°

Rus_ich [418]

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Step-by-step explanation:

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3 years ago

Which of these describes the equation –18x + 9y = –416?

Minchanka [31]

Answer:

We conclude the equation is linear because it can be rewritten in the form $y = mx + b$ .

Hence, option D is correct.

Step-by-step explanation:

The slope-intercept form of the line or linear equation

$y = mx+b$

where

$m$ is the slope

$b$ is the y-intercept

Important Tip:

The graph of a linear equation is always a straight line.

Convert the given equation in the slope-intercept form

$18x + 9y = -416$

subtract 18x from both sides

$18x+9y-18x = - 18x-416$

simplify

$9y = -18x - 416$

divide both sides by 9

$y=-2x-\frac{416}{9}$

Now, comparing the equation $y=-2x-\frac{416}{9}$ with a slop-intercept form of linear equation

The slope m = -2

The y-intercept b = -416/9

Therefore, we conclude the equation is linear because it can be rewritten in the form $y = mx + b$ .

From the attached graph, is also clear that the graph of the equation $y=-2x-\frac{416}{9}$ is a straight line.

Hence, option D is correct.

3 0

3 years ago

Read 2 more answers

There are two college entrance exams that are often taken by students, Exam A and Exam B. The composite score on Exam A is appro

elena55 [62]

Answer:

B.The score on Exam A is better, because the percentile for the Exam A score is higher.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

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 problem, we have that:

Two exams. The exam that you did score better is the one in which you had a higher zscore.

The composite score on Exam A is approximately normally distributed with mean 20.1 and standard deviation 5.1.

This means that $\mu = 20.1, \sigma = 5.1$ .