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3 years ago

How do I factor e^2-10e+25

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

7 0

Answer: (e-5)^2

Step-by-step explanation:

The box method is a good way to solve this, but for a quick explanation, start by finding a single value that when added gets -10 and when multiplied gets +25. We can find that this term is -5. We the can situate -5 into (e-5)^2 equation, where if you FOIL, you will be back at the unfactored equation. Hope this helps

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Need help with question #5 thanks

Nataliya [291]

Answer:

25/4

Step-by-step explanation:

68x=425

x=6.25

25/4=6.25

7 0

4 years ago

A projectile is thrown upward so that its distance above the ground after t seconds is h =-13t2 + 390t. After how many seconds d

sertanlavr [38]

Answer:

<h3>The option C) 15 s is correct</h3><h3>Therefore the maximum height it reaches in <u>15 seconds. </u></h3>

Step-by-step explanation:

Given equation is $h =-13t^2 + 390t$

Given that a projectile is thrown upward so that its distance above the ground after t seconds is $h =-13t^2 + 390t$

<h3>To find how many seconds does it reach its maximum height:</h3>

"The standard form of a parabola's equation is expressed as :

$y=ax^2+bx+c$ .

If $a>0$ , then the parabola opens upwards;

if $a$ the parabola opens downwards."

The maximum height is the vertex of the parabola $h =-13t^2 + 390t$ which is $\frac{-b}{2a}$ .

Comparing the given equation with the standard form of parabola we get

the values of a=-13 , b=390 and c=0

The maximum height in $t=\frac{-b}{2a}$ .

Substitute the values we get

$t=-\frac{390}{2(-13)}$

$=\frac{390}{26}$

$=15$

<h3>∴ t=15 s</h3><h3>∴ The option C) 15 s is correct.</h3><h3>∴ the maximum height is the vertex of the parabola, at t reaches in 15 seconds. </h3>

3 0

3 years ago

The total number of students in the seventh grade is 9 more than 4 times as many students as are in the art class. There are 101

7nadin3 [17]

Answer:

9 + 4x = 101

Step-by-step explanation:

9 + 4x = 101 Equation

( +9 - 9 ) + 4x = ( 101 - 9 ) Subract 9 on both sides

4x = 92 Simplify

x = 23 Divide 4 on both sides

<em>23 people in art class</em>

5 0

3 years ago

5 out of nine students in the sophomore class in musicians if there are 450 students in the sophomore class for many of them are

Anarel [89]

Answer:

250 Students are musicians, 200 are not.

Step-by-step explanation:

Decimal Version:

If we take "5 out of every nine students are musicians" and make this a fraction we get 5/9. 5/9 as a decimal is approximately 55.555555555556. 55.555555555556% of 450 = 250. So that means 250 students are musicians.

Fraction Version : See attached image.

3 0

3 years ago

Jena's income is $1600 a month, and she plans to budget 1/3 of her income for rent and 1/8 of her income for groceries. Step 2 o

WARRIOR [948]

Answer:

Jena spends $ 733. 33 on her rent and groceries altogether per month.

Step-by-step explanation:

Jena's total income in a month= $1600

Here , expenditure on rent = (1/3) of her income

So, now one- third of her income $1600 is

= $\frac{1}{3} \times 1600 = 533.33$

or, (1/3) of her salary is $533. 33

Hence, Jena spends $ 533. 33 on her rent monthly.

Now, her expenditure on groceries = (1/8) of her income

So, now one- eighth of her income $1600 is

= $\frac{1}{8} \times 1600 = 200$

or, (1/8) of her salary is $ 200.

Jena spends $ 200. on her groceries monthly.

So, Total expenditure = Expenditure on rent + Expenditure on groceries

= $533. 33 + $200 = $733.33

Hence, Jena spends $ 733. 33 on her rent and groceries altogether per month.

7 0

3 years ago