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3 years ago

Select all possible values for x if −3x < 15.

Mathematics

2 answers:

makkiz [27]3 years ago

4 0

Step-by-step explanation:

When dividing or multiplying by a negative number, remember to flip the inequality sign.

-3x < 15

x > -5 (divide -3 on both sides, flip the inequality sign)

The correct options are 2 and 9. (D and E)

Maru [420]3 years ago

4 0

Answer:

D. 2

E. 9

Step-by-step explanation:

$- 3x < 15 \\ \\ x > \frac{15}{ - 3} \\ \\ x > - 5 \\ \\$

Since x > - 5,

Therefore possible values of x would be 2 and 9 out of the given ones.

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Your parents decide they would like to install a rectangular swimming pool in the backyard. There is a 15-foot by 20-foot rectan

Lilit [14]

Answer:

perimeter: 46 ft
area: 126 ft²

Step-by-step explanation:

Since the 3 ft edge is on both sides of the pool, each dimension of the pool is 6 ft shorter than the corresponding dimension of the space. The pool will be 15 ft -6 ft = 9 ft in one direction and 20 ft -6 ft = 14 ft in the other direction.

The perimeter of the pool is the sum of its side lengths:

P = 9 ft + 14 ft + 9 ft + 14 ft = 2(9 ft +14 ft) = 2(23 ft)

P = 46 ft

The area of the pool is the product of its length and width:

A = (14 ft)(9 ft) = 126 ft²

The perimeter and area are 46 ft and 126 ft², respectively.

5 0

3 years ago

Use calculations and words to show<br>this quadrilateral meets the<br>definition of a kite.❤

Y_Kistochka [10]

Answer:

Step-by-step explanation:

A kite is a quadrilateral that has only one line of symmetry, and bisecting diagonals.

From the graph,

AB = 6 units

BC = 8 units

CD = 8 units

AD = 6 units

i. Has exactly one pair of congruent sides. Examples are; AB = AD and BC = CD.

ii. The diagonals are perpendicular. AC is at right angle to DB.

iii. The diagonals bisect each other. AC bisects DB, or vice versa.

Therefore, quadrilateral ABCD is a kite.

8 0

3 years ago

A population of a particular yeast cell develops with a constant relative growth rate of 0.4225 per hour. The initial population

Ksju [112]

Answer: The population after 3 hours is 13.9 mill.

Step-by-step explanation:

When we have an exponential with:

A = initial population.

r = constant relative growth rate:

t = time.

The function that models this is:

P(t) = A*e^(k*t)

In this case we know that:

A = 3.9 mill.

r = 0.4225 1.

Then the function that models the population of this yeast cell is:

P(t) = (3.9 mill)*e^(0.4225*t)

where t represents the time in hours.

Then if we want to know the population after 3 hours, we should replace t by 3.

P(3) = (3.9 mill)*e^(0.4225*3) = 13.85 mill.

And we want to round our answer to one decimal place, then we must look at the second decimal place, we can see that is a 5, so we should round up.

The population after 3 hours is 13.9 mill.

8 0

3 years ago

HELP PLEASE ILL GIVE BRAINLIEST

iren [92.7K]

The surface of the triangle count formula

A = b*h*1/2

A - area

b - base

c - height

The 1st triangle

A₁ = b₁*h = 6in * 8in *1/2= 24in²

The 2nd triangle

A₂ b₂*h = 10in * 8in*1/2 = 40in²

The total area of the two triangles is 24in² + 40in² = 64 square inches

3 0

3 years ago

According to a survey of workers,6/50 of them walk to work,1/50 bike, 10/50 carpool, and 33/50 drive alone. What percent of

Ivenika [448]

Answer:

14%

Step-by-step explanation:

3 0

3 years ago