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2 years ago

What is 3-2x>-5 in an inequality form

Mathematics

1 answer:

Annette [7]2 years ago

3 0

Answer:

$\displaystyle 4 > x$

Step-by-step explanation:

3 - 2x > −5

- 3 - 3

_________

$\displaystyle \frac{-2x}{-2} > \frac{-8}{-2} \\ \\ x < 4$

Whenever you divide\multiply by a negative, you reverse the inequality symbol.

** The above answer is written in reverse, which is the exact same result.

I am joyous to assist you anytime.

You might be interested in

Given that tan θ ≈ 1.072, where 0 < θ < , 2 π find the values of sin θ and cos θ.

anygoal [31]

Answer:

The answer to your question is

sin Ф = 0.731 and sinФ = -0.731; cos Ф 0.682 and cos Ф = -0.682

Step-by-step explanation:

tan Ф = 1.072, 0 < Ф < 2 π, tan Ф is positive, find the solution in the first and third quadrangle.

- tan Ф = opposite side / adjacent side

- 1.072 / 1 = opposite side / adjacent side

- opposite side = 1.072 and adjacent side = 1

Calculate hypotenuse

c² = a² + b²

c² = 1.072² + 1²

c² = 2.149

hypotenuse = c = 1.466

First quadrangle

sin Ф = 1.072 / 1.466 = 0.731

cos Ф = 1 / 1.466 = 0.682

Third quadrangle

sin Ф = -1.072 / 1.466 = -0.731

cos Ф = -1 / 1.466 = -0.682

5 0

2 years ago

from a window 24 feet above the ground, the angle of elevation to the top of another building is 38 degrees. The distance betwee

Delvig [45]

Answer:

The height of the building is $73.2\ ft$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle ABC

$tan(38\°)=\frac{BC}{AB}$

we have

$AB=63\ ft$

substitute and solve for BC

$tan(38\°)=\frac{BC}{63}$

$BC=(63)tan(38\°)=49.2\ ft$

Find the height of the building

The height of the building (h) is equal to

$h=BC+24=49.2+24=73.2\ ft$

6 0

2 years ago

2x^2-13x-24 factor the polynomial<br><br> Explain please

vovangra [49]

Answer:

(x - 8)(2x + 3)

Step-by-step explanation:

To factor a polynomial of the form

ax² + bx + c,

follow these steps:

1) Multiply ac together.

2) Find 2 factors of ac that add to b. Call these factors p and q.

3) Break up the middle term of the polynomial into px + qx.

4) Factor by grouping.

Now let's follow the steps above with your problem.

You are given the polynomial

2x² - 13x - 24,

so a = 2, b = -13, and c = -24

1) Find ac.ac is the product 2(-24) = -48

2) Now we need to find 2 factors of -48 that add to b, -13.

I know that 48 = 3 × 16, so if we use -16 and 3 for the two numbers, we have

-16 + 3 = -13

and -16 × 3 = -48.

3) Now we break up the middle term of the polynomial, -13x, into -16x + 3x.

The polynomial is now

2x² - 16x + 3x - 24

4) We factor the polynomial by grouping. To factor by grouping, you factor a common factor out of the first 2 terms and factor out a common factor out of the last two terms.

2x² - 16x + 3x - 24 =

= 2x(x - 8) + 3(x - 8)

We now see the common factor of x - 8, so we factor that out.

= (x - 8)(2x + 3)

Answer: (x - 8)(2x + 3)

8 0

2 years ago

Cheese sticks that were previously priced at "10 for $1" are now "4 for $1". Find each percent change.

statuscvo [17]

original quantity : 10 for $1

new quantity: 4 for $1

now we have to find each percent change

10-4=6

6÷100=0.06

0.06=6%

the quantity went down 6%

6 0

3 years ago

-2(x+2)=-12 .............

Dima020 [189]

Answer:

x=4

Step-by-step explanation:

-2(x+2)=-12

x+2=-12/-2

x+2=6

x=6-2

x=4

6 0

2 years ago