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spayn [35]
3 years ago
12

What is the complete factorization of the quadratic expression 4×^2+8×-60

Mathematics
1 answer:
DerKrebs [107]3 years ago
4 0

4×^2+8×-60

factor out a 4

4(x^2 +2x-15)

4(x+5) (x-3)

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1.) how much will $5000 be worth in 5 years if it is compounded continuously at 3% interest.
Nady [450]

Answer:

$5809.17

$6149.01

$2211.72

Step-by-step explanation:

Continous interest formula:

(pv)e^(rt)

we have

5000e^(5*.03)= 5809.17

Same equation from before

2500e^(.09*10)= 6149.01

2000e^(.0575*(21/12))

(we write 21/12 because that's how many years has passed)

= 2211.72

5 0
3 years ago
Paco needs at least 3/8 yard of twine to build a model ship. how much twine could he buy.
kolezko [41]

Answer:

Option: c is correct.

Step-by-step explanation:

We are given that paco needs at least 3/8 yard of twine to build a model ship.

that is we require twine of amount greater than 3/8 yards.

<em>now we need to check among the given options which quantity is greater than 3/8 yards.</em>

a)

3/10 yard.

As we know that for two rational numbers with the same numerator but with different denominator the number whose denominator is smaller is a greater quantity.

Hence 3/10 < 3/8

Hence option a is incorrect.

b)

1/4 yard

As to compare to rational numbers we have to either make the numerator equal or their denominator equal. Hence here we multiply and divide 1/4 by 2 to get 8 in the denominator.

\dfrac{1}{4}\times\dfrac{2}{2}=\dfrac{2}{8}

as 2/8 < 3/8

since the denominator is same and the number with the same denominator but with different numerator are compared as whose numerator is greater is a greater quantity.

Hence option b is incorrect.

c)

3/4 yard

Clearly both the numbers have the same numerator but different denominator and we know that for two rational numbers with the same numerator but with different denominator the number whose denominator is smaller is a greater quantity.

Hence 3/8 < 3/4

Hence, option c is correct.

d)

1/8 yard

clearly both the numbers have the same denominator and we know that for two rational numbers withe same denominator but with different numerator the number whose numerator is smaller is a smaller quantity.

Hence, 1/8 < 3/8

Hence, option d is incorrect.



7 0
4 years ago
Read 2 more answers
Find the volume of this triangular prism. 7m, 9m, and 10m
jeka94

Answer:

630m³

Step-by-step explanation:

volume= 7m×9m×10m=630m³

7 0
2 years ago
Solve the equation y/-4 + 5 = 15
Allushta [10]

Answer:

y= -40

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
In a triangle , the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 100 m
madam [21]

Answer:

The three unknown angles X, Y , and Z are:

X = 40, Y = 20, and Z = 120

Step-by-step explanation:

Let's name X the measure of the first angle, Y the measure of the second one, and Z that of the third one.

Then we can create the following equations:

X = 2 Y

Z = 100 + Y

and

X + Y + Z = 180

So we use the first equation and the second one to substitute for the variable X and Z in the thrid equation:

2 Y + Y + (100 + Y) = 180

4 Y + 100 = 180

4 Y = 80

Y = 80/4 = 20

Then X = 40, Y = 20, and Z = 120

7 0
3 years ago
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