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polet [3.4K]
3 years ago
14

Solve 2(4 x + 3) < 5 x + 21. { x | x < 9} { x | x > -5} { x | x > -9} { x | x < 5}

Mathematics
1 answer:
Nesterboy [21]3 years ago
5 0

Answer:

x <5

Step-by-step explanation:

2(4 x + 3) < 5 x + 21

Distribute

8x +6 < 5x +21

Subtract 5x from each side

8x -5x +6 < 5x-5x+21

3x +6 < 21

Subtract 6 from each side

3x+6-6 <21-6

3x <15

Divide each side by 3

3x/3 <15/3

x <5

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What is the slope of the line through (-1,4) and (5,2)
butalik [34]

Answer:

Slope (m) = -\frac{1}{3}

Step-by-step explanation:

Use the following equation:

Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}

Let:

(x_1 , y_1) = (-1 , 4)\\(x_2 , y_2) = (5 , 2)

Plug in the corresponding numbers to the corresponding variables:

m = \frac{2 - 4}{5 - (-1)} = \frac{2 - 4}{5 + 1} = \frac{-2}{6}

Simplify. Divide common factors from both the numerator and denominator:

\frac{(-\frac{2}{6})}{\frac{2}{2} } = -\frac{1}{3}

-\frac{1}{3} is your answer.

~

8 0
3 years ago
PLZZ ANSWER QUESTION 18
gtnhenbr [62]
In order to find the other end point we must know where the End point is.

·(5,-3)

In order to find out the new point we must know how long the line segment is.

·8 units.

Knowing this we would use the equation ΔY/ΔX to find the new point

·ΔY= Y²-Y
·ΔX=X²-X

Knowing this we just plug our points in, and we use process of elimination to get our answer.

First we will try choice A.

· (5,-3) 
·(-3,-3)

To get from Y²⇒Y= 8 Units, and to get from X²⇒X=0 Units.

·8+0=8

-In conclusion your answer is A, i hope this is the answer you are looking for, feel free to post your questions here on brainly in the future.
3 0
3 years ago
Select all situations that can be modeled with a linear function. A taxi charges an initial fee of $2.00 and $1.50 for each addi
stiks02 [169]
The taxi, the airplane, and the pizza can be shown as linear functions
3 0
3 years ago
The parabola opens upward has x = 2 as an axis of symmetry and contains the non -vertex points (1, 9) and (4, 27) write the equa
Sedaia [141]

Answer:

<h3>               f(x) = 6(x - 2)² + 3</h3>

Step-by-step explanation:

f(x) = a(x - h)² + k    - vertex form of the equation of the parabola with vertex (h, k)

"the parabola opens upward" means:  a>0

"the parabola has x = 2 as an axis of symmetry" means:  h = 2

so f(x) = a(x - 2)² + k

"the parabola contains the point (1, 9)" means:

9 = a(1 - 2)² + k

9 = a(-1)² + k

9 = a + k

k = 9 - a

"the parabola contains the point (4, 27)" means:

27 = a(4 - 2)² + k

so:

27 = a(2)² + 9 - a

27 = 4a + 9 - a

3a = 18

a = 6

and  k = 9 - 6 = 3

Therefore the vertex form for this parabola is:

                                     <u> f(x) = 6(x - 2)² + 3</u>

4 0
3 years ago
Each side of an equilateral triangle measures 30cm. Find the length of an altitude, a , of the triangle?
Archy [21]

Answer:

X=25.98cm

Step-by-step explanation:

From the question we are told that:  

Length of each side l=30cm

Let the triangle be divide by two form a right angle triangle with base angles as 90 \textdegree(angle of perpendicularity) and 60 \textdegree (angle on each vertices of an equilateral triangle)

Generally the equation for the Altitude X is mathematically given by

Trigonometric Rule

X=30sin60

X=15\sqrt{3}

X=25.98cm

6 0
3 years ago
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