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2 years ago

Solve for x in each diagram below. 35 degrees, 75 degrees, and it’s a triangle what is the missing number for x ?

Mathematics

1 answer:

sveticcg [70]2 years ago

4 0

Answer:

70 degrees is the missing number for x

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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

CAN SOMEONE PLEASE HELP WITH THIS PROBLEM PLEASE!!!!

Flauer [41]

Naw bruv i’m doing the same problems rn and i’m struggling gl tho

4 0

2 years ago

Describe and correct the error in solving the equation<br><br> 7 - 3x = 12<br> 4x = 12<br> x = 3

aev [14]

If x=3
Just replace the X with 3
So seven minus three equals four
If 3 is X than do 4 times 3 which that makes twelve.

3 0

2 years ago

What is 949 rounded to the nearest ten and hundred

Brilliant_brown [7]

Tenth=950
hundred=900

8 0

3 years ago

Read 2 more answers

Write an expression to show k less than 3.5

Natalija [7]

Answer: k < 3.5
explanation: < means less than and > means more than and = means equal to so k < (less than) 3.5

5 0

3 years ago