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2 years ago

14

Match each number with its place in order from smallest (1st) to largest (6th).

1 answer:

zheka24 [161]2 years ago

8 0

90 would be the largest then 59,48, -56, -80, and leaving -84 to be the smallest

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What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where

Setler79 [48]

Answer:

$k=-16,k=-8,k=8,k=16$

Step-by-step explanation:

We are given quadratic equations as

$x^2+kx+15$

and it can be factored as

$=(x+a)(x+b)$

now, we can multiply factor term

$(x+a)(x+b)=x^2+(a+b)x+ab$

now, we can compare

$x^2+(a+b)x+ab=x^2+kx+15$

so, we get

$k=a+b$

$ab=15$

we are given that

'a' and 'b' are integers

so, we can find all possible factors

$15=(-1\times -15),(1\times 15)$

$15=(-3\times -5),(3\times 5)$

so, we can find k

At $(-1\times -15)$ :

$k=a+b$

we can plug values

$k=-1-15$

$k=-16$

At $(1\times 15)$ :

$k=a+b$

we can plug values

$k=1+15$

$k=16$

At $(-3\times -5)$ :

$k=a+b$

we can plug values

$k=-3-5$

$k=-8$

At $(3\times 5)$ :

$k=a+b$

we can plug values

$k=3+5$

$k=8$

So, values of k are

$k=-16,k=-8,k=8,k=16$

6 0

3 years ago

When the sum of an unknown number and twenty two is divided by the unknown number, the quotient is 12. What is the unknown numbe

Gnom [1K]

You would basically work backwards and do inverse operations

12
24*
__
288

288/24= 12

8 0

3 years ago

In the town of sleepy Oak. the fine for speeding ticket is $32.65 + s dollars. Where s is the miles per hour over the speed limi

Mkey [24]

A: 38.4 - 25 = 13.4
13.4 + 32.65 = $46.05

B: 50.15 - 32.65 = 17.5
17.5 + 25 = 42.5 mph

5 0

3 years ago

What is the difference? 2x 7 - 8x 7<br> a. -6x 14<br> b. 10x 7<br> c. -16x 7<br> d. -6x 7

spayn [35]

$2x^{7}-8x^{7}=-6x^{7}$

5 0

3 years ago

Which is bigger 4 pints or 4 quarts

Marat540 [252]

4 quarts is bigger :)

3 0

2 years ago