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Genrish500 [490]
3 years ago
9

1. Solve the equation using the zero-product property. -x(5x – 4) = 0

Mathematics
1 answer:
Oxana [17]3 years ago
6 0

Answer:

x = 0, 4/5

Step-by-step explanation:

The zero-product property states that if the product of a and b is zero, then either a = 0, b = 0, or both terms equal zero

  • Here our a term is -x and our b term is (5x - 4)
  • Setting each term equal to zero and solving for x we get
  • -x = 0 → x = 0
  • 5x - 4 = 0 → 5x = 4 → x = 4/5

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What is the area of the polygon
Paul [167]
Split this figure into 3 shapes: 2 triangles and 1 trapezoid

Area of top triangle = 1/2(7)(2) = 7 square units
Area of bottom triangle = 1/2(3)(7) = 10.5 square units
Area of trapezoid = 1/2(3 + 6)(4) = 18 square units

Area of the polygon = 7 + 10.5 + 18 = 35.5 square units
8 0
3 years ago
Read 2 more answers
You make a tape of your friend's three favorite TV shows: a comedy, a drama and a reality
vodka [1.7K]

Answer:

comedy = 2

drama = 4

reality = 1

Step-by-step explanation:

comedy  = 30min

denote as "c"

drama = 60min

denote as "d"

reality = 60min

denote as "r"

write in English

(30min of c) + (60 min of d) + (60min of r) totals to 360 min

translate to mathematics

(30c) + (60d) + (60r) = 360

we also know that there is a total of seven episodes

so we can say

c + d + r = 7

and we also know that there are twice as many episodes of drama as there is of comedy so it can be said that

d = 2c

now there is a system of equations

30c + 60d + 60r = 360

c +d + r = 7

d = 2c

all we know have to do is simplify and solve

substitute in the second equation, into the first

c + d + r = 7

d = 2c

c + 2c + r = 7

simplify

3c + r = 7

r = 7 - 3c

substitute this into the first equation

d = 2c

r  = 7 -3c

30c + 60d + 60r = 360

30c + 60(2c) + 60(7 - 3c) = 360

distribute

30c + 120c + 420 - 180c = 360

simplify

-30c + 420 = 360

      -420       -420

-30c = -60

c = 2

substitute back into the other equations and solve

d = 2c

d = 2 *2

d = 4

r = 7 - 3c

r = 7 - 3 * 2

r = 7 -6

r = 1

4 0
3 years ago
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 100 miles per
storchak [24]

Solving for the elapsed time

distance traveled = (speed of first train + speed of second train) * elapsed time

280 miles = (95 mph + 105 mph) * elapsed time

280 miles = 200 mph * elapsed time

elapsed time = 280 miles / 200 mph

elapsed time = 1.4 hours

elapsed time = 1 hour and 24 minutes

It will take 1 hour and 24 minutes for the two trains to be 280 miles apart.

7 0
3 years ago
Please answer with explanation
nalin [4]

Answer:

(a)- 2 [ ( - \frac { 1 } { 4 } ) - 12 ( - 1 ) ^ { 2 } ] - 5 [ 24 + 2 ( - 12 ) ] ^ { 2 }−2[(−

4

1

)−12(−1)

2

]−5[24+2(−12)]

2

Do the arithmetic.

Calculate -1−1 to the power of 22 and get 11.

-2\left(-\frac{1}{4}-12\right)-5\left(24+2\left(-12\right)\right)^{2}−2(−

4

1

−12)−5(24+2(−12))

2

Subtract one term from another.

Subtract 1212 from -\frac{1}{4}−

4

1

to get -\frac{49}{4}−

4

49

.

-2\left(-\frac{49}{4}\right)-5\left(24+2\left(-12\right)\right)^{2}−2(−

4

49

)−5(24+2(−12))

2

Multiply two factors together.

Multiply -2−2 and -\frac{49}{4}−

4

49

to get \frac{49}{2}

2

49

.

\frac{49}{2}-5\left(24+2\left(-12\right)\right)^{2}

2

49

−5(24+2(−12))

2

Multiply two factors together.

Multiply 22 and -12−12 to get -24−24.

\frac{49}{2}-5\left(24-24\right)^{2}

2

49

−5(24−24)

2

Subtract one term from another.

Subtract 2424 from 2424 to get 00.

\frac{49}{2}-5\times 0^{2}

2

49

−5×0

2

Multiply two factors together.

Multiply 55 and 00 to get 00.

\frac{49}{2}-0

2

49

−0

Add two terms together.

Subtract 00 from \frac{49}{2}

2

49

to get \frac{49}{2}

2

49

.

\frac{49}{2}

2

49

2

49

=24.5

(b)−a

2

b

2

−3a

3

b

2

a=−

3

1

b=−1

Step-by-step explanation:

Hope it helps u

FOLLOW MY ACCOUNT PLS PLS

3 0
3 years ago
The number of jobs for nurses is expected to increase by 711,900 between 2010 and 2020. during the same decade, the number of jo
Brrunno [24]

The Ratio would be 43:100.

Lets simplify the problem,

Expected increase of nurses = 711900

Expected increase of physicians = 168300

Ratio = Expected increase of nurses / Expected increase of physicians

Ratio = 711900 / 168300

= 43/100

Ratio = 43:100

Learn more about Ratio on:

brainly.com/question/255469

#SPJ4

3 0
2 years ago
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