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2 years ago

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Tomato plants $.40 each. Pepper plant $.35 each.Kevin wants to buy at least 20 plants for no more than $7.50.Let tomato plants =

x and pepper plants =y. Write a system of inequalities for both kinds of plants.

1 answer:

Vitek1552 [10]2 years ago

6 0

Answer:

10x and 10y

Step-by-step explanation:

.40×10=4

.35×10=3.5

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Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated

Illusion [34]

Answer:

$x=-2,0,3$

Step-by-step explanation:

We have been given a function $f(x)=15x^3-15x^2-90x$ . We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

$15x^3-15x^2-90x=0$

Now, we will factor our equation. We can see that all terms of our equation a common factor that is $15x$ .

Upon factoring out $15x$ , we will get:

$15x(x^2-x-6)=0$

Now, we will split the middle term of our equation into parts, whose sum is $-1$ and whose product is $-6$ . We know such two numbers are $-3\text{ and }2$ .

$15x(x^2-3x+2x-6)=0$

$15x((x^2-3x)+(2x-6))=0$

$15x(x(x-3)+2(x-3))=0$

$15x(x-3)(x+2)=0$

Now, we will use zero product property to find the zeros of our given function.

$15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0$

$15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0$

$\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0$

$x=0\text{ (or) }x=3\text{ (or) }x=-2$

Therefore, the zeros of our given function are $x=-2,0,3$ .

7 0

3 years ago

What is the answer to 3 1/2r=28

Lorico [155]

3 1/2r=28
3.5r=28
cross of 3.5 and r remains
divide 28 and 3.5
and r=8
r=8

4 0

3 years ago

Read 2 more answers

Which of the following is a solution of the inequality? -3 less than 2x+ 1 less than 5

Serhud [2]

Answer:

- 2 < x < 2

Step-by-step explanation:

Given

- 3 < 2x + 1 < 5 ( subtract 1 from each interval )

- 4 < 2x < 4 ( divide each interval by 2 )

- 2 < x < 2

7 0

3 years ago

What is the value of x?<br><br> x=___in.

Nata [24]

Answer:

its b

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Umnica [9.8K]

Given:

In the given triangle the measure of two angles are 102 degree and 28 degrees and the sides of the triangle are a, 27 cm, c.

To find:

The value of a.

Solution:

Let the given triangle be ABC, such that,

$m\angle B=28^\circ$

$m\angle C=102^\circ$

$b=27\ cm$

Using angle sum property of triangles, we get

$m\angle A+m\angle B+m\angle C=180^\circ$

$m\angle A+28^\circ+102^\circ=180^\circ$

$m\angle A=180^\circ-28^\circ-102^\circ$

$m\angle A=50^\circ$

According to the Law of Sines:

$\dfrac{\sin A}{a}=\dfrac{\sin B}{b}$

$\dfrac{\sin 50^\circ }{a}=\dfrac{\sin 28^\circ }{27}$

$\dfrac{27\times \sin 50^\circ }{\sin 28^\circ}=a$

$\dfrac{27\times \sin 50^\circ }{\sin 28^\circ}=a$

$a\approx 44.06$

Therefore, the value of a is about 44.06 cm.

7 0

2 years ago