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3 years ago

Solve for x. −8x+14≥60 OR −4x+50<58

Mathematics

1 answer:

Reika [66]3 years ago

6 0

Answer: The solution is,

$x\leq -\frac{23}{4}$ or $x>-2$

Step-by-step explanation:

Given compound inequality,

-8x + 14 ≥ 60 or -4x + 50 < 58,

By the subtraction property of inequality,

-8x + 14 - 14 ≥ 60 - 14 or -4x + 50 - 50 < 58 -50,

-8x ≥ 46 or -4x < 8

By the division property of inequality,

$-x \geq \frac{46}{8}$ or $-x < \frac{8}{4}$

Using property a > b ⇒ - a < -b,

$x\leq -\frac{23}{4}$ or $x>-2$

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Alekssandra [29.7K]

$4x^5y^3+8x^4y^4+4x^3y^2$

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We take GCF of numbers first and then we take GCF for variables

GCF of 4, 8, 4 is 4 because all the numbers are divisible by 4

For variable, lowest exponent is our GCF

GCF of $x^5+x^4+x^3$ is x^3

GCF of $y^3+y^4+y^2$ is y^2

So GCF is 4x^3y^2

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3 years ago

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sertanlavr [38]

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2 years ago

4 students equally share 2/3 of a pizza

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3 years ago

Emmanuel carves a cone-shaped hollow out of a solid clay cylinder. What is the approximate volume of the solid portion of the cy

bixtya [17]

Answer:

$3.14r^2(h-\frac{1}{3}h_1)$

Step-by-step explanation:

Let h be the cylinders height and r the radius.

-The volume of a cylinder is calculated as:

$V=\pi r^2h$

-Since the cone is within the cylinder, it has the same radius as the cylinder.

-Let $h_1$ be the height of the cone.

-The area of a cone is calculated as;

$V=\pi r^2 \frac{h}{3}\\\\=\frac{1}{3}\pi r^2h_1$

The volume of the solid section of the cylinder is calculated by subtracting the cone's volume from the cylinders:

$V=V_{cy}-V_{co}\\\\=\pi r^2h-\frac{1}{3}\pi r^2 h_1, \pi=3.14\\\\=3.14r^2(h-\frac{1}{3}h_1)$

Hence, the approximate area of the solid portion is $3.14r^2(h-\frac{1}{3}h_1)$

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3 years ago

Help Asap plz!!!! Thx Give 2<br>0 points

Arisa [49]

Answer:

(1,2) is a solution to both equations

Step-by-step explanation:

To determine if (1,2) is a solution to both equations, substitute into the equation and see if it is true

2x+y =4

2(1) + 2 =4

2+2 =4

4=4

true

y =3x-1

2 = 3(1) -1

2 =3-1

2=2

true

Since both statements are true

(1,2) is a solution to both equations

4 0

3 years ago