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3 years ago

Solve the inequality |2h-3| >1

Mathematics

1 answer:

mel-nik [20]3 years ago

5 0

Answer:

$\large\boxed{h>2\ \vee\ h$

Step-by-step explanation:

$|2h-3|>1\iff2h-3>1\ \vee\ 2h-34\ \vee\ 2h2\ \vee\ h$

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X^2 + 5x - 24 = 0 How do I solve by factoring

tiny-mole [99]

Answer:

x = -8 or x = 3

Step-by-step explanation:

To factor ax² + bx + c, use AC method.

a times c is 1 × -24 = -24.

Factors of ac (-24) that add up to b (5) are 8 and -3.

Divide by a and reduce: 8/1 and -3/1.

Therefore, the factors are x + 8 and x − 3.

x² + 5x − 24 = 0

(x + 8) (x − 3) = 0

x = -8 or 3

7 0

3 years ago

Express the ratio 7 days to 6 weeks as a decimal fraction

Mashcka [7]

Answer:

0.166

Step-by-step explanation:

We know that,

1 week = 7 days

i.e.

6 week = 7(6) days = 42 days

We need to express ratio 7 days to 6 weeks as a decimal fraction. So,

$R=\dfrac{7\ \text{days}}{42\ \text{days}}=\dfrac{1}{6}\\\\=0.166$

3 0

3 years ago

1. Yousaf deposits $5000 in a savings account at his local bank. The account pays 5.5 % interest compounded annually. At the end

irina [24]

Answer:

I think its $6894.21

Step-by-step explanation:

compound interest formula: A= P(1+ r/n)^nt

A= 5000(1+ 0.055/1)^1(6)

A= 6894.21403

A= $6894.21

4 0

4 years ago

12.A taxi service charges you $ 1.50 plus

RoseWind [281]

Answer:

20 miles

Step-by-step explanation:

Add $1.50 plus $0.60 times 20 which is $13.50

The number you multiply to get to $13.50 is the amount of miles

6 0

2 years ago

An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists are driving cars on the highw

Alecsey [184]

Answer:

The cars are 10702ft apart

Step-by-step explanation:

Height of the plane from the high way = 5150ft

Considering Triangle ABD, we will be using SOHCAHTOA

Tan = Opposite/ Adjacent

Tan 54° = Y/5150

Y = 5150*tan54°

Y = 7088 ft

Considering Triangle ADC, Tan = Opposite/ Adjacent is also applicable

Tan 34° = X/5150

X = 5150*tan 54°

X = 3614ft

The distance between the two cars = (X+Y)

= 7088 + 3614

= 10702ft

6 0

3 years ago