Ask question

Ask question

All categories

3 years ago

12

Which inequality corresponds to the sentence "five less than the product of a number and 6 is at least 8"?

1 answer:

Roman55 [17]3 years ago

5 0

Answer:

6x - 5 ≥ 8

Step-by-step explanation:

Which inequality corresponds to the sentence "five less than the product of a number and 6 is at least 8"?

The inequality sign of

a) At least = greater than or equal to = ≥

Let us represent the number as = x

Hence: "five less than the product of a number and 6 is at least 8" can be written as:

= x × 6 - 5 ≥ 8

= 6x - 5 ≥ 8

You might be interested in

A hot air balloon is 200.6 feet above land. After 5 minutes, the parasail is at 120.8 feet above land. What is the change in hei

Darina [25.2K]

Answer:

-79.8

Step-by-step explanation:

The change can be found by subracting the ending distance from the beginning distance.

In this case, its 200.6-120.8= 79.8

It is negative because the distance in the end became lower than the beginning distance.

Hope this helps!

5 0

2 years ago

Find a polynomial of degree 3 with real cofficients and zeros of -3,-1,4 for which f(-2)=24

konstantin123 [22]

$\bf \textit{zeros at } \begin{cases} x = -3\implies &x+3=0\\ x = -1\implies &x+1=0\\ x = 4\implies &x-4=0 \end{cases}\qquad \implies (x+3)(x+1)(x-4)=\stackrel{y}{0} \\\\\\ (x^2+4x+3)(x-4)=0\implies x^3~~\begin{matrix}+ 4x^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~+3x~~\begin{matrix} -4x^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~-16x-12=0 \\\\\\ x^3-13x-12=0$

we know that f(-2) = 24, namely when x = -2, y = 24, let's see if that's true

$\bf x^3-13x-12=y\implies \stackrel{x = -2}{(-2)^3-13(-2)-12}=y \\\\\\ -8+26-22=y \implies 6=y$

darn!! no dice.... hmmmm wait a second.... 4 * 6 = 24, if we could just use a common factor of 4 on the function, that common factor times 6 will give us 24, let's check.

$\bf 4(x^3-13x-12)=y\implies \stackrel{x = -2}{4[~~(-2)^3-13(-2)-12~~]}=y \\\\\\ 4[~~-8+26-22~~]=y\implies 4[6]=y\implies 24=y \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 4x^3-52x-48=y~\hfill$

4 0

3 years ago

Please help i dont get this at all

Tom [10]

Answer:

$\frac{20y^{2} a^{2} }{41bx^{3} }$

Step-by-step explanation:

1) Flip the second fraction and change the operation to multiplication:

$\frac{5x^{2}y^{3} }{2a^{5}b^{4} } * \frac{8a^{7}b^{3} }{41x^{5}y }$

2) Cross cancel factors:

$\frac{5y^{2} }{2b } * \frac{8a^{2} }{41x^{3} }$

3) Multiply:

$\frac{40y^{2} a^{2} }{82bx^{3} }$

4) Simplify:

$\frac{20y^{2} a^{2} }{41bx^{3} }$

4 0

3 years ago

Read 2 more answers

Which line is parallel to the line that passes through the point (-1,2) and (5,-4)

iragen [17]

Answer: 11

Step-by-step explanation:

3 0

3 years ago

In 2010, the continent of South America had a population of 395, 280, 204 Which of the following is the closest estimate of this

lesya [120]

Given:

The population of continent of South America in 2010 is 395, 280, 204.

To find:

The closest estimate of this number.

Solution:

We have,

$Population = 395, 280, 204$

The approximate value of this number is

$Population \approx 400, 000, 000$

The scientific form of this value is

$Population = 4\times 10^8$

Therefore, the correct option is C.

6 0

3 years ago