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3 years ago

Four more than twice a number is less than negative twelve. Find all numbers that make this statement true.

Mathematics

1 answer:

andreev551 [17]3 years ago

7 0

Answer:

x<-8

Step-by-step explanation:

four more than twice a number = 4+2X

is less than negative twelve = <-12

4+2X<-12

(4-4)+2X< -12-4

2x<-16

X<-8

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How do I solve this math problem?

Nat2105 [25]

Answer: 4x² + 4x - 2 - $\frac{3}{2x+3}$

Step-by-step explanation:

You can use either synthetic or long division. I am using synthetic division:

2x + 3 = 0 ⇒ x = $-\frac{3}{2}$

$-\frac{3}{2}$ | 4 10 4 -6

| ↓ -6 -6 3

4 4 -2 -3 ← -3 is the remainder

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3 years ago

What is the multiplacation problem for sandy walk 26 miles in a month. If she were consistent in her walking for 2 years, how ma

Svetllana [295]

Answer:

624 miles

Step-by-step explanation:

We know that there are 12 months in a year, and you need to find out the total miles she walks in two years, which is 24 months.

So we multiply 26(24)

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3 years ago

Read 2 more answers

Find the zeros of fhe function. Enter the solutions from least to greatest. f(x)=(x-2)^2-9

dangina [55]

Answer:

5, -1

Step-by-step explanation:

set the given equation equal to 0.

add 9 to both sides

take the square root of both sides and remove the exponent on left side.

x-2 = +3

x-2= -3

solve for x (for each equation)

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3 years ago

Find the perimeter of a train of 100 equilateral triangles if the triangles are joined side to side. Each side is one inch long.

yarga [219]

Answer:

102

Step-by-step explanation:

Each triangle will have a perimeter of 3. When joined, the outside triangles will have 2 sides showing, or 2 inches. The middle 98 will only have one free side, or one inch. This means that 98*1 + 2*2 = 102

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3 years ago

Co-ordinate Geometry

saul85 [17]

Answer:

The value of a = 14

Step-by-step explanation:

Given

(x₁, y₁) = (2, 4)

(x₂, y₂) = (6, a)

(x₃, y₃) = (-1, 1)

A = 9 sq.units

Area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃) is:

$A=\frac{\left|x_1\left(y_2-y_3\right)+x_2\left(y_3-y_1\right)+x_3\left(y_1-y_2\right)\right|}{2}$

substituting the values (x₁, y₁) = (2, 4), (x₂, y₂) = (6, a), (x₃, y₃) = (-1, 1), A = 9 in th formula

$A=\frac{\left|x_1\left(y_2-y_3\right)+x_2\left(y_3-y_1\right)+x_3\left(y_1-y_2\right)\right|}{2}$

$9=\frac{\left|2\left(a-1\right)+6\left(1-4\right)+-1\left(4-a\right)\right|}{2}$

Multiply both sides by 2

$\frac{2\left|2\left(a-1\right)+6\left(1-4\right)-1\left(4-a\right)\right|}{2}=9\cdot \:2$

simplify

$\left|2\left(a-1\right)+6\left(1-4\right)-1\left(4-a\right)\right|=18$

As the area is always positive.

$2\left(a-1\right)+6\left(1-4\right)-1\cdot \left(4-a\right)=18$

$2\left(a-1\right)-18-\left(4-a\right)=18$

Add 18 to both sides

$2\left(a-1\right)-18-\left(4-a\right)+18=18+18$

simplify

$2\left(a-1\right)-\left(4-a\right)=36$

$3a-6=36$

$3a=42$

Divide both sides by 3

$\frac{3a}{3}=\frac{42}{3}$

$a=14$

Thus, the value of a = 14

7 0

3 years ago