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3 years ago

6 less than 8 times a number (x) is equal to 14

Mathematics

2 answers:

Sunny_sXe [5.5K]3 years ago

6 0

Answer:

8x-6=14

Step-by-step explanation:

Whenever you see less next to a number, you know it's gonna be -6. If it said 6 minus 8x though, then you would do 6-8x etc. Hope this helped.

qaws [65]3 years ago

4 0

sorry I can't help. don't really get the question

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Please help!! What is the solution to the quadratic inequality? 6x2≥10+11x

fredd [130]

Answer:

The solution of the inequation $6\cdot x^{2} \geq 10 + 11\cdot x$ is $\left(-\infty,-\frac{2}{3}\right]\cup\left[\frac{5}{2},+\infty\right)$ .

Step-by-step explanation:

First of all, let simplify and factorize the resulting polynomial:

$6\cdot x^{2} \geq 10 + 11\cdot x$

$6\cdot x^{2}-11\cdot x -10 \geq 0$

$6\cdot \left(x^{2}-\frac{11}{6}\cdot x -\frac{10}{6} \right)\geq 0$

Roots are found by Quadratic Formula:

$r_{1,2} = \frac{\left[-\left(-\frac{11}{6}\right)\pm \sqrt{\left(-\frac{11}{6} \right)^{2}-4\cdot (1)\cdot \left(-\frac{10}{6} \right)} \right]}{2\cdot (1)}$

$r_{1} = \frac{5}{2}$ and $r_{2} = -\frac{2}{3}$

Then, the factorized form of the inequation is:

$6\cdot \left(x-\frac{5}{2}\right)\cdot \left(x+\frac{2}{3} \right)\geq 0$

By Real Algebra, there are two condition that fulfill the inequation:

a) $x-\frac{5}{2} \geq 0 \,\wedge\,x+\frac{2}{3}\geq 0$

$x \geq \frac{5}{2}\,\wedge\,x \geq-\frac{2}{3}$

$x \geq \frac{5}{2}$

b) $x-\frac{5}{2} \leq 0 \,\wedge\,x+\frac{2}{3}\leq 0$

$x \leq \frac{5}{2}\,\wedge\,x\leq-\frac{2}{3}$

$x\leq -\frac{2}{3}$

The solution of the inequation $6\cdot x^{2} \geq 10 + 11\cdot x$ is $\left(-\infty,-\frac{2}{3}\right]\cup\left[\frac{5}{2},+\infty\right)$ .

3 0

3 years ago

Laura sends an average of 27 text messages per month to each of f friends. Her cell phone provider charges her a flat rate of $3

svlad2 [7]

t(f) = 27*f

g(t) = $0.04*27*f

without the value for f (the number of friends) that is the farthest this can be solved.

8 0

2 years ago

It takes Maya 30 minutes to solve 5 logic puzzles and it takes Amy 28 minutes to solve 4 logic puzzles use models to show the ra

Contact [7]

Answer:

MAYA (6 minutes)

Amy (7 minutes)

Step-by-step explanation:

MAYA

Takes Maya 30 minutes to solve 5 Puzzle:

Let's express it as,

30 mins = 5 Puzzle

1 min = x Puzzle

Cross multiply to solve for the number of questions Maya solves in a minute.

It becomes:

30*x = 5*1

30x = 5

x = 30/5

x = 6mins.

It means it takes Maya 6 mins to solve one question.

FOR AMY

Takes Amy 28 mins to solve 4 puzzles.

Let's represent it as:

28 mins = 4 Puzzles

x min = 1 puzzle

Let's solve for x

(28 mins) * (1 puzzle) = 4 * x

28 = 4x

x = 28/4

x = 7 mins

It means, it takes Amy 7 minutes to solve 1 puzzle

3 0

3 years ago

Read 2 more answers

Evaluate the expression when x= -5.2 and y = –6.8.<br> 4x-7y

vfiekz [6]

Step-by-step explanation:

Substitute variables with given values

Minus sign becomes plus sign if a negative is multiplied by a negative or a negative is put next to a negative number.

4x-7y=4(-5.2)-7(-6.8)

-20.8+47.6=26.8

7 0

2 years ago

Find the straight line f(x) which intersects the coordinates (8,0) and (1, -7).

Delvig [45]

Answer:

y = x - 8

Step-by-step explanation:

7/7X - 8

the y intercept was the only tricky part

4 0

2 years ago

Read 2 more answers