MATHEMATICS HIGH SCHOOL

Solve the polynomial inequality: 4x² + 19x - 5 ≤ 0

Answers

Answer 1

Answer:

Answer:

4x² + 19x - 5 ≤ 0

4x²+20x-x-5≤ 0

per factorization :

4x(x+5)-1(x+5)≤0

(x+5)(4x-1)≤0

x+5≤0

x≤-5

x-4≤0

x≤4

x[-5, 1/4]

Related Questions

What is the ratio of 33/36
What are the zero(s) of the function f(x) = the quantity of 5 x squared minus 25 x, all over x? x = 5 x = 0 and x = 5
How do i do this? i cant quite remember
Write using exponents 7 • 7 • 7 • 7
What is the distance between points (5, 5) and (1, 5) on a coordinate plane? units

A baker is calculating the charge for two types of cookies. What formula tells the cost, in dollars, if chocolate chip cookies are $1.50/dozen and lemon frosteds are $2.50/dozen? Let c = number of dozens of chocolate chip cookies; L= number of dozens of lemon frosteds; T= total charge

Answers

c=1.50 * 12 = 18.00$
L=2.50 * 12 = 30.00$
18.00 + 30.00 = 48.00
T=48.00$

I'm looking at the top at 79.9 angle. I'm 100ft away. What's the height of the building?

Answers

To solve this, notice that you have the angle component (I will call this a) and the x-component (the distance of you from the building) of a trig formula, and you are looking for the y-component. We will use the tangent formula, since this incorporates the angle, x, and y components.

1. Write the formula

tan(a) = y ÷ x

2. Rewrite to include the known values.

tan(79.9) = y ÷ 100

3. Solve for the unknown variable, y.

tan(79.9) × 100 = y ÷ 100 × 100

tan(79.9) × 100 = y

4. A fancy step that I call the "flip flop."

y = tan(79.9) × 100

5. Use a calculator to find the value (make sure the calculator is in "degree" and not "radians" mode).

y = 561.3968

6. Round the number as is appropriate for this problem.

Have a great day!

so this is a trig problem

so you have a right triangle
base=100 ft
from wher you are standing, it is a 79.9 angle to the top
we want to find the height of the tower or the opposite side
the base is the adjacent side so you are looking for o/a or tan(79.9) since you know one of the sides so therefor
tan(79.9)=h/100
evaluate tan(79.9)
tan(79.9)=5.61396
5.61396=h/100
multiply both sides by 100
561.396=h
round to tenths place
561.4
the height=561.4 ft

Please give me the correct answer.ACE,Moderator,Genius,and Expert please help me.

Answers

Answer:

Initial value is (0 , 24) or just y = 24

Step-by-step explanation:

Initial value of a linear function is the y intercept

y = -3x + 24

x = 0, y = 24

A camera is placed in front of a hyperbolic mirror. The equation of the hyperbola that models the mirror is , where x and y are in inches. The camera is pointed toward the vertex of the hyperbolic mirror and is positioned such that the lens is at the nearest focus to that vertex.

Answers

Answer:

The lens is 1 inch from the mirror

Step-by-step explanation:

* Lets revise the equation of the hyperbola with center (0 , 0) and

transverse axis parallel to the y-axis is y²/a² - x²/b² = 1

- The coordinates of the vertices are (0 , ± a)

- The coordinates of the co-vertices are (± b , 0)

- The coordinates of the foci are (0 , ± c) where c² = a² + b²

* Lets solve the problem

∵ The equation of the hyperbola is y²/16 - x²/9 = 1

∵ The form of the equation is y²/a² - x²/b² = 1

∴ a² = 16

∴ a = √16 = 4

∵ The coordinates of the vertices are (0 , ± a)

∴ The coordinates of the vertices are (0 , 4) , (0 , -4)

∴ b² = 9

∴ b = √9 = 3

∵ c² = a² + b²

∴ c² = 16 + 9 = 25

∴ c = √25 = 5

∵ The coordinates of the foci are (0 , ± c)

∴ The coordinates of the foci are (0 , 5) , (0 , -5)

∵ The camera is pointed towards the vertex of the hyperbolic mirror

which is (0 , 4) and is positioned such that the lens is at the nearest

focus to that vertex which is (0 , 5)

∴ The distance between the lens and the mirror equal the distance

between the vertex and the focus

∵ The vertex is (0 , 4) and the nearest focus is (0 , 5)

∴ The distance = 5 - 4 = 1 inch

* The lens is 1 inch from the mirror

Answer:

Step-by-step explanation:

I answered this in edmentum and got this correct

Determine which representation corresponds to a decreasing speed with an increasing time.Simon drives faster as
Time Speed
Raphael rolls his ball
he enters the freeway
0
downhill.
0
from the entrance
2.
15
ramp.
4
25
6
45
(spl) poods
Ncho C
00
70
1 2 3 4 5 6 7 8
Time (s)
O